diff --git a/.claude/probes/fisherz-softmax-v1/softmax_oracle.cc b/.claude/probes/fisherz-softmax-v1/softmax_oracle.cc
new file mode 100644
index 000000000..8feb9e91d
--- /dev/null
+++ b/.claude/probes/fisherz-softmax-v1/softmax_oracle.cc
@@ -0,0 +1,37 @@
+// Runs TFLite Micro's real int8 SOFTMAX (Register_SOFTMAX via KernelRunner).
+// stdin, one case per line: n scale_bits zero_point beta_bits c_0 .. c_{n-1}
+// stdout, one line per case: prepare_ok invoke_ok o_0 .. o_{n-1}
+// Output contract: int8, scale 1/256, zero point -128.
+#include <cstdint>
+#include <cstdio>
+#include <cstring>
+#include <vector>
+#include "tensorflow/lite/micro/builtin_op_data.h"
+#include "tensorflow/lite/micro/kernels/kernel_runner.h"
+#include "tensorflow/lite/micro/test_helpers.h"
+
+int main() {
+  int n; unsigned sb, bb; int zp;
+  while (std::scanf("%d %x %d %x", &n, &sb, &zp, &bb) == 4) {
+    float scale, beta;
+    std::memcpy(&scale, &sb, 4); std::memcpy(&beta, &bb, 4);
+    std::vector<int8_t> in(n), out(n);
+    for (int i = 0; i < n; ++i) { int v; std::scanf("%d", &v); in[i] = (int8_t)v; }
+    int dims_data[] = {2, 1, n};
+    TfLiteIntArray* dims = tflite::testing::IntArrayFromInts(dims_data);
+    TfLiteTensor tensors[2] = {
+        tflite::testing::CreateQuantizedTensor(in.data(), dims, scale, zp),
+        tflite::testing::CreateQuantizedTensor(out.data(), dims, 1.0f / 256.0f, -128)};
+    int ia[] = {1, 0}, oa[] = {1, 1};
+    TfLiteSoftmaxParams params = {beta};
+    const TFLMRegistration reg = tflite::Register_SOFTMAX();
+    tflite::micro::KernelRunner runner(reg, tensors, 2, tflite::testing::IntArrayFromInts(ia),
+                                       tflite::testing::IntArrayFromInts(oa), &params);
+    TfLiteStatus p = runner.InitAndPrepare();
+    TfLiteStatus v = p == kTfLiteOk ? runner.Invoke() : kTfLiteError;
+    std::printf("%d %d", p == kTfLiteOk, v == kTfLiteOk);
+    for (int i = 0; i < n; ++i) std::printf(" %d", out[i]);
+    std::printf("\n");
+  }
+  return 0;
+}
diff --git a/.claude/probes/pal256-admission-v1/replay/Cargo.toml b/.claude/probes/pal256-admission-v1/replay/Cargo.toml
new file mode 100644
index 000000000..f3dfe9e95
--- /dev/null
+++ b/.claude/probes/pal256-admission-v1/replay/Cargo.toml
@@ -0,0 +1,16 @@
+[package]
+name = "replay"
+version = "0.0.0"
+edition = "2021"
+publish = false
+
+# D-TFLP Amendment 6.5 P2: replay of the committed softmax reciprocal fixtures without TFLM.
+# Lab only; not a workspace member.
+[dependencies]
+serde_json = "1"
+sha2 = "0.10"
+
+[profile.release]
+debug = 0
+
+[workspace]
diff --git a/.claude/probes/pal256-admission-v1/replay/README.md b/.claude/probes/pal256-admission-v1/replay/README.md
new file mode 100644
index 000000000..fedd971fd
--- /dev/null
+++ b/.claude/probes/pal256-admission-v1/replay/README.md
@@ -0,0 +1,92 @@
+# Softmax reciprocal fixture replay (D-TFLP 6.5, lab)
+
+This crate replays committed int8 SOFTMAX fixtures without TensorFlow Lite Micro.
+It shows that the fixtures, and the integer recipe they were recorded against, still agree.
+It runs under plain `cargo test`. It is not a workspace member and has no production consumer.
+
+## What is tested
+
+The fixtures live in `../../source-behavior-v1/fixtures65/`. A SHA-256 manifest
+(`manifest65.json`) covers every file.
+
+| file | rows | content |
+|---|---|---|
+| `softmax_tables65.json` | 14 tables | prepared source weights per calibration: admitted flag, `A = exp_on_negative_values`, `B = Rescale<12>`, each with its SHA-256 |
+| `witness65_full.jsonl` | 529 | every kernel-confirmed witness row. In each, the TFLM reciprocal and the correctly rounded one give different output bytes |
+| `witness65_reduced.jsonl` | 27 | the regression subset (selection rule in each row's `why`) |
+| `equivalence65.jsonl` | 7 | calibration 9 rows where both reciprocals give the kernel's bytes |
+| `unreachable65.jsonl` | 10 | arithmetic candidates proved not to occur in any admitted row |
+
+The runner works through three stages, in this order:
+1. manifest integrity: any mismatch exits with code 2;
+2. each table's digest;
+3. every fixture row.
+
+For each witness row it checks the following:
+- the claimed calibration identity is the one the table was prepared for;
+- the row maximum is code 127;
+- every code is admitted and every count is positive;
+- the recomputed sum equals the stored `S`;
+- `S` lies in the supported domain;
+- the source-reciprocal byte equals the stored kernel byte;
+- the exact-reciprocal byte equals the stored alternative byte, which differs from the source byte.
+
+All arithmetic is checked: an overflow the source would leave undefined becomes a named `Refusal`.
+
+## Where the oracle came from
+
+TFLM revision `5f64e4ad` (its `tensorflow/` tree is identical to `8f6596d`), reference int8 SOFTMAX
+(`kernels/internal/reference/softmax.h`), built with g++ 13.3.0 on x86-64.
+The source digest is sha256(`common.h` + `fixedpoint.h` + `reference/softmax.h`), equal to
+`0566576b4fb0be4df914ce36e369de295d22e227d661c13a0cec17f5d7f2eb3c`.
+
+The rows were produced by the certification gate (`../../source-behavior-v1/softcert65.cc`) and
+confirmed by the real TFLM kernel (`softmax_oracle.cc`) before `fixtures65.py` wrote them.
+Regenerating them with the current gate gives byte-identical files.
+
+## Admitted domain
+
+- int8 input, output scale 1/256, zero point −128;
+- `x_integer_digits = 12`;
+- row sums `S ∈ [2^19, 2^28)`.
+
+The 14 calibrations are the known set of `softmax63.py`.
+
+## How to run
+
+```sh
+cargo test --release                                                 # 11 tests, < 1 s
+cargo run --release -- ../../source-behavior-v1/fixtures65 --full    # all 529 + 27 + 7 + 10
+cargo run --release -- ../../source-behavior-v1/fixtures65 --reciprocal exact --full
+```
+
+The last command is the negative control. It must fail all 556 witness rows (529 full and 27 reduced) while
+the 7 equivalence rows still pass. Measured: about 90 ms for the full tier.
+
+## What PASS proves
+
+- The committed fixture bytes are the ones the manifest names.
+- On these 14 calibrations and these rows, the integer recipe in `src/lib.rs` reproduces the bytes the TFLM kernel produced.
+- The correctly rounded reciprocal is *not* a drop-in replacement on the 13 calibrations that have witnesses.
+- The tamper cases below are rejected, each for its own reason.
+
+## What PASS does not prove
+
+- It says nothing about calibrations outside the 14, rows outside the fixtures, other TFLM revisions, other compilers or other backends.
+- It does not re-run TFLM. Kernel agreement was established when the fixtures were made; the replay checks the recorded result.
+- It is not a softmax implementation, a Codec8 consumer or a production path.
+
+## Tamper detection (`tests/tamper.rs`)
+
+| tamper | expected result |
+|---|---|
+| changed byte, manifest not re-stamped | exit 2, `REFUSE integrity` |
+| changed source byte, re-stamped | `source byte … != stored` |
+| changed table weight, re-stamped | `table digest` |
+| witness claims another calibration (scale) | `calibration identity` |
+| witness points at another calibration's table | `table_sha256` |
+| row without its maximum (code 127) | `no mandatory maximum` |
+| stored `S` off by one | `!= stored S` |
+| a count of −1 | `NonPositiveMultiplicity` |
+| 600 maxima (`S > 2^28`) | `UnsupportedDomain` |
+| exact reciprocal | 556 failures, 7 equivalence rows still pass |
diff --git a/.claude/probes/pal256-admission-v1/replay/src/bin/replay.rs b/.claude/probes/pal256-admission-v1/replay/src/bin/replay.rs
new file mode 100644
index 000000000..17b78ebbc
--- /dev/null
+++ b/.claude/probes/pal256-admission-v1/replay/src/bin/replay.rs
@@ -0,0 +1,170 @@
+//! Replay the D-TFLP 6.5 softmax fixtures. Usage: replay FIXTURE_DIR [--reciprocal source|exact] [--full]
+//!
+//! Order: manifest digests (integrity) → each table's digest → each fixture. The reduced suite runs by
+//! default; `--full` adds the complete 529-witness tier. Exit status 0 only if every check passes.
+//! `--reciprocal exact` is the negative control: the witnesses must then fail and the
+//! calibration-9 equivalence rows must still pass.
+use replay::*;
+use serde_json::Value;
+use sha2::{Digest, Sha256};
+use std::{collections::BTreeMap, fs, path::Path, process::ExitCode};
+
+fn hex(b: &[u8]) -> String {
+    b.iter().map(|x| format!("{x:02x}")).collect()
+}
+
+fn table(v: &Value) -> Table {
+    let arr = |k: &str| v[k].as_array().unwrap().iter().map(|x| x.as_i64().unwrap()).collect::<Vec<_>>();
+    let (adm, a, b) = (arr("admitted"), arr("A"), arr("B"));
+    let mut t = Table { admitted: [false; 256], a: [0; 256], b: [0; 256] };
+    for i in 0..256 {
+        t.admitted[i] = adm[i] == 1;
+        t.a[i] = a[i] as i32;
+        t.b[i] = b[i] as i32;
+    }
+    t
+}
+
+fn row_pairs(v: &Value) -> Vec<(i32, i32)> {
+    match v {
+        Value::Object(m) => m.iter().map(|(k, n)| (k.parse().unwrap(), n.as_i64().unwrap() as i32)).collect(),
+        Value::Array(a) => {
+            let mut c: BTreeMap<i32, i32> = BTreeMap::new();
+            for x in a {
+                *c.entry(x.as_i64().unwrap() as i32).or_default() += 1;
+            }
+            c.into_iter().collect()
+        }
+        _ => panic!("row"),
+    }
+}
+
+fn main() -> ExitCode {
+    let args: Vec<String> = std::env::args().collect();
+    let dir = Path::new(&args[1]);
+    let recip = if args.iter().any(|a| a == "exact") { Recip::Exact } else { Recip::Source };
+    let full = args.iter().any(|a| a == "--full");
+    let mut fails: Vec<String> = Vec::new();
+    let t0 = std::time::Instant::now();
+    // 1. integrity
+    let man: Value = serde_json::from_str(&fs::read_to_string(dir.join("manifest65.json")).unwrap()).unwrap();
+    for (name, want) in man["sha256"].as_object().unwrap() {
+        let got = hex(&Sha256::digest(fs::read(dir.join(name)).unwrap()));
+        if &got != want.as_str().unwrap() {
+            fails.push(format!("integrity {name}"));
+        }
+    }
+    if !fails.is_empty() {
+        println!("REFUSE integrity: {fails:?}");
+        return ExitCode::from(2);
+    }
+    let t_integrity = t0.elapsed();
+    // 2. tables
+    let tj: Value = serde_json::from_str(&fs::read_to_string(dir.join("softmax_tables65.json")).unwrap()).unwrap();
+    let mut tables: BTreeMap<String, Table> = BTreeMap::new();
+    for (key, t) in tj["tables"].as_object().unwrap() {
+        let d = hex(&Sha256::digest(serde_json::to_string(t).unwrap()));
+        if d != tj["sha256"][key].as_str().unwrap() {
+            fails.push(format!("table digest {key}"));
+        }
+        tables.insert(key.clone(), table(t));
+    }
+    let t_tables = t0.elapsed() - t_integrity;
+    // 3. fixtures
+    let lines = |f: &str| fs::read_to_string(dir.join(f)).unwrap().lines().map(|l| serde_json::from_str::<Value>(l).unwrap()).collect::<Vec<_>>();
+    let mut ok = BTreeMap::<&str, u32>::new();
+    let mut check_w = |name: &'static str, ws: &[Value], fails: &mut Vec<String>| {
+        for w in ws {
+            let id = w["id"].as_str().unwrap();
+            let key = w["table"].as_str().unwrap();
+            if tj["sha256"][key] != w["table_sha256"] {
+                fails.push(format!("{name} {id}: table_sha256"));
+                continue;
+            }
+            // the calibration identity the witness claims must be the one its table was prepared for
+            let claimed = format!("{}:{}", w["scale_bits"].as_str().unwrap_or(""), w["beta_bits"].as_str().unwrap_or(""));
+            if claimed != key || tj["tables"][key]["scale_bits"].as_str() != w["scale_bits"].as_str() {
+                fails.push(format!("{name} {id}: calibration identity {claimed} != table {key}"));
+                continue;
+            }
+            let t = &tables[key];
+            let row = row_pairs(&w["row"]);
+            let d = w["d"].as_i64().unwrap() as i32;
+            let r = (|| -> Result<(), String> {
+                // differences are relative to code 127: the row maximum is mandatory
+                if row.iter().map(|&(c, _)| c).max() != Some(127) {
+                    return Err("no mandatory maximum (code 127)".into());
+                }
+                let s = row_sum(t, &row).map_err(|e| e.to_string())?;
+                if s != w["S"].as_i64().unwrap() {
+                    return Err(format!("sum {s} != stored S"));
+                }
+                if !row.iter().any(|&(c, _)| c == 127 + d) {
+                    return Err("no element at d".into());
+                }
+                let bs = byte_of(t, &row, 127 + d, recip).map_err(|e| e.to_string())?;
+                let bx = byte_of(t, &row, 127 + d, Recip::Exact).map_err(|e| e.to_string())?;
+                if i64::from(bs) != w["byte_source"].as_i64().unwrap() || i64::from(bs) != w["kernel_byte"].as_i64().unwrap() {
+                    return Err(format!("source byte {bs} != stored"));
+                }
+                if i64::from(bx) != w["byte_exact"].as_i64().unwrap() || bs == bx {
+                    return Err(format!("exact byte {bx}"));
+                }
+                Ok(())
+            })();
+            match r {
+                Ok(()) => *ok.entry(name).or_default() += 1,
+                Err(e) => fails.push(format!("{name} {id}: {e}")),
+            }
+        }
+    };
+    check_w("reduced", &lines("witness65_reduced.jsonl"), &mut fails);
+    if full {
+        check_w("full", &lines("witness65_full.jsonl"), &mut fails);
+    }
+    for e in lines("equivalence65.jsonl") {
+        let t = &tables[e["table"].as_str().unwrap()];
+        let codes: Vec<i32> = e["row"].as_array().unwrap().iter().map(|x| x.as_i64().unwrap() as i32).collect();
+        let row = row_pairs(&e["row"]);
+        let want: Vec<i64> = e["kernel_bytes"].as_array().unwrap().iter().map(|x| x.as_i64().unwrap()).collect();
+        let got: Result<Vec<i64>, Refusal> = codes.iter().map(|&c| byte_of(t, &row, c, recip).map(i64::from)).collect();
+        let got_x: Result<Vec<i64>, Refusal> = codes.iter().map(|&c| byte_of(t, &row, c, Recip::Exact).map(i64::from)).collect();
+        if got.as_ref() == Ok(&want) && got_x.as_ref() == Ok(&want) {
+            *ok.entry("equivalence").or_default() += 1;
+        } else {
+            fails.push(format!("equivalence {}", e["id"]));
+        }
+    }
+    for u in lines("unreachable65.jsonl") {
+        let t = &tables[u["table"].as_str().unwrap()];
+        let (s, d) = (u["S"].as_i64().unwrap(), u["d"].as_i64().unwrap() as i32);
+        let r = s - i64::from(t.b[255]) - if d != 0 { i64::from(t.b[(d + 255) as usize]) } else { 0 };
+        let proved = match u["status"].as_str().unwrap() {
+            "unreachable_negative" => r < 0,
+            _ => r >= 0 && r <= 4_000_000 && !representable(t, r as usize),
+        };
+        if proved {
+            *ok.entry("unreachable").or_default() += 1;
+        } else {
+            fails.push(format!("unreachable S={s} d={d}"));
+        }
+    }
+    let t_total = t0.elapsed();
+    eprintln!("timing_us integrity={} tables={} fixtures={} total={}", t_integrity.as_micros(), t_tables.as_micros(), (t_total - t_integrity - t_tables).as_micros(), t_total.as_micros());
+    println!("recip={recip:?} passed={ok:?} failures={}", fails.len());
+    for f in fails.iter().take(10) {
+        println!("  {f}");
+    }
+    if fails.is_empty() { ExitCode::SUCCESS } else { ExitCode::from(1) }
+}
+
+/// Plain unbounded-coin DP over the admitted weights: is r a non-negative combination?
+fn representable(t: &Table, r: usize) -> bool {
+    let coins: Vec<usize> = (0..256).filter(|&i| t.admitted[i] && t.b[i] > 0).map(|i| t.b[i] as usize).collect();
+    let mut rep = vec![false; r + 1];
+    rep[0] = true;
+    for x in 1..=r {
+        rep[x] = coins.iter().any(|&c| c <= x && rep[x - c]);
+    }
+    rep[r]
+}
diff --git a/.claude/probes/pal256-admission-v1/replay/src/lib.rs b/.claude/probes/pal256-admission-v1/replay/src/lib.rs
new file mode 100644
index 000000000..93840b1bb
--- /dev/null
+++ b/.claude/probes/pal256-admission-v1/replay/src/lib.rs
@@ -0,0 +1,165 @@
+//! D-TFLP Amendment 6.5 P2: replay the committed softmax reciprocal fixtures without TFLM.
+//!
+//! A port of the source int8 SOFTMAX output path (TFLM 5f64e4ad) for one element of a row:
+//! sum of prepared weights B over admitted elements, `GetReciprocal(S, 12)` (common.h:968-982) with
+//! `one_over_one_plus_x_for_x_in_0_1` (fixedpoint.h:832-853), then
+//! `RoundingDivideByPOT(SaturatingRoundingDoublingHighMul(sh, A[d]), exponent) - 128`, clamped
+//! (reference/softmax.h:131-142).
+//!
+//! Every `+`/`-` that the C++ performs on int32 through `Add`/`Sub` (undefined on overflow) is a
+//! `checked_*` here: a fixture whose replay would need an undefined operation is refused, never
+//! reproduced. The supported sum domain is [2^19, 2^28) (6.4 follow-up N11).
+
+use std::fmt;
+
+/// Why a replay refused a row.
+#[derive(Debug, Clone, PartialEq, Eq)]
+pub enum Refusal {
+    /// A row code is not admitted (difference below diff_min) — not part of the supported row model.
+    UnadmittedCode(i32),
+    /// A multiplicity below 1.
+    NonPositiveMultiplicity(i32),
+    /// The row has no element at the maximum.
+    NoMaximum,
+    /// The exact sum is outside [2^19, 2^28).
+    UnsupportedDomain(i64),
+    /// An int32 operation the source performs with undefined overflow would overflow.
+    UndefinedArithmetic(&'static str),
+}
+
+impl fmt::Display for Refusal {
+    fn fmt(&self, f: &mut fmt::Formatter<'_>) -> fmt::Result {
+        write!(f, "{self:?}")
+    }
+}
+
+/// The prepared source weights of one calibration (trace63 `softexp`), indexed by difference + 255.
+#[derive(Debug, Clone)]
+pub struct Table {
+    /// Admitted flag.
+    pub admitted: [bool; 256],
+    /// exp_on_negative_values raw (Q0.31).
+    pub a: [i32; 256],
+    /// Rescale<12> raw (Q12.19).
+    pub b: [i32; 256],
+}
+
+/// fixedpoint.h:326-338.
+pub fn srdhm(a: i32, b: i32) -> i32 {
+    if a == b && a == i32::MIN {
+        return i32::MAX;
+    }
+    let ab = i64::from(a) * i64::from(b);
+    let nudge: i64 = if ab >= 0 { 1 << 30 } else { 1 - (1 << 30) };
+    ((ab + nudge) / (1i64 << 31)) as i32
+}
+
+/// fixedpoint.h:356-367, exponent in 0..=31.
+pub fn rdbpot(x: i32, e: u32) -> Result<i32, Refusal> {
+    if e > 31 {
+        return Err(Refusal::UndefinedArithmetic("rounding shift exponent > 31"));
+    }
+    let mask = ((1i64 << e) - 1) as i32;
+    let rem = x & mask;
+    let thr = (mask >> 1) + i32::from(x < 0);
+    (x >> e).checked_add(i32::from(rem > thr)).ok_or(Refusal::UndefinedArithmetic("rdbpot add"))
+}
+
+/// Saturating left shift (fixedpoint.h:380-406, exponent > 0).
+fn satshl(x: i32, e: u32) -> i32 {
+    let thr = (1i32 << (31 - e)) - 1;
+    if x > thr {
+        i32::MAX
+    } else if x < -thr {
+        i32::MIN
+    } else {
+        x << e
+    }
+}
+
+/// fixedpoint.h:235-241.
+fn rounding_half_sum(a: i32, b: i32) -> i32 {
+    let s = i64::from(a) + i64::from(b);
+    let sign = if s >= 0 { 1 } else { -1 };
+    ((s + sign) / 2) as i32
+}
+
+/// fixedpoint.h:832-853, raw in, raw out.
+fn one_over_one_plus_x(a: i32) -> Result<i32, Refusal> {
+    let ub = |what| Refusal::UndefinedArithmetic(what);
+    let hd = rounding_half_sum(a, i32::MAX);
+    let mut x = 1515870810i32.checked_add(srdhm(hd, -1010580540)).ok_or(ub("constant + hd*c"))?;
+    for _ in 0..3 {
+        let hdx = srdhm(hd, x);
+        let om = (1i32 << 29).checked_sub(hdx).ok_or(ub("one - hd*x"))?;
+        x = x.checked_add(satshl(srdhm(x, om), 2)).ok_or(ub("x + rescale"))?;
+    }
+    Ok(satshl(x, 1))
+}
+
+/// The source reciprocal: (raw, num_bits_over_unit). common.h:968-982 with x_integer_digits = 12.
+pub fn source_reciprocal(s: i32) -> Result<(i32, i32), Refusal> {
+    if s <= 0 {
+        return Err(Refusal::UndefinedArithmetic("reciprocal of a non-positive sum (shift by 32 at S = 0)"));
+    }
+    let hpo = (s as u32).leading_zeros();
+    let shifted = ((s as u32) << hpo).wrapping_sub(1u32 << 31) as i32; // unsigned in the source: defined
+    Ok((one_over_one_plus_x(shifted)?, 12 - hpo as i32))
+}
+
+/// The correctly rounded alternative: round(2^62 / (S << clz(S))), half up, clipped to i32::MAX.
+pub fn exact_reciprocal(s: i32) -> Result<(i32, i32), Refusal> {
+    if s <= 0 {
+        return Err(Refusal::UndefinedArithmetic("reciprocal of a non-positive sum"));
+    }
+    let hpo = (s as u32).leading_zeros();
+    let den = (s as u128) << hpo;
+    let q = ((1u128 << 63) + den) / (2 * den);
+    Ok((q.min(i32::MAX as u128) as i32, 12 - hpo as i32))
+}
+
+/// Which reciprocal a replay uses.
+#[derive(Debug, Clone, Copy, PartialEq, Eq)]
+pub enum Recip {
+    /// The source Newton-Raphson reciprocal (SourceParity).
+    Source,
+    /// The correctly rounded reciprocal (the cheaper candidate the gate decides on).
+    Exact,
+}
+
+/// Row as (code, multiplicity) pairs. Returns the exact sum S after the admission checks.
+pub fn row_sum(t: &Table, row: &[(i32, i32)]) -> Result<i64, Refusal> {
+    let max = row.iter().map(|&(c, _)| c).max().ok_or(Refusal::NoMaximum)?;
+    let mut s: i64 = 0;
+    for &(c, n) in row {
+        if n < 1 {
+            return Err(Refusal::NonPositiveMultiplicity(n));
+        }
+        let i = (c - max + 255) as usize;
+        if !t.admitted[i] {
+            return Err(Refusal::UnadmittedCode(c));
+        }
+        s += i64::from(n) * i64::from(t.b[i]);
+    }
+    if !((1i64 << 19)..(1i64 << 28)).contains(&s) {
+        return Err(Refusal::UnsupportedDomain(s));
+    }
+    Ok(s)
+}
+
+/// Output byte of the element with code `code` in `row`.
+pub fn byte_of(t: &Table, row: &[(i32, i32)], code: i32, recip: Recip) -> Result<i8, Refusal> {
+    let s = row_sum(t, row)?;
+    let max = row.iter().map(|&(c, _)| c).max().ok_or(Refusal::NoMaximum)?;
+    let (sh, nb) = match recip {
+        Recip::Source => source_reciprocal(s as i32)?,
+        Recip::Exact => exact_reciprocal(s as i32)?,
+    };
+    let ex = nb + 23;
+    if !(0..=31).contains(&ex) {
+        return Err(Refusal::UndefinedArithmetic("exponent outside the source CHECK"));
+    }
+    let i = (code - max + 255) as usize;
+    let v = rdbpot(srdhm(sh, t.a[i]), ex as u32)? - 128;
+    Ok(v.clamp(-128, 127) as i8)
+}
diff --git a/.claude/probes/pal256-admission-v1/replay/tests/tamper.rs b/.claude/probes/pal256-admission-v1/replay/tests/tamper.rs
new file mode 100644
index 000000000..1aa616d66
--- /dev/null
+++ b/.claude/probes/pal256-admission-v1/replay/tests/tamper.rs
@@ -0,0 +1,169 @@
+//! Negative controls for the fixture replay: each tamper must make the runner fail for its own reason.
+//! Each test copies the committed fixtures, changes one thing, and (where stated) re-stamps the
+//! manifest digest so that the SEMANTIC check — not the integrity check — is what must fail.
+use serde_json::Value;
+use sha2::{Digest, Sha256};
+use std::{fs, path::PathBuf, process::Command};
+
+const SRC: &str = "../../source-behavior-v1/fixtures65";
+
+fn copy(tag: &str) -> PathBuf {
+    let d = std::env::temp_dir().join(format!("replay65-{tag}-{}", std::process::id()));
+    let _ = fs::remove_dir_all(&d);
+    fs::create_dir_all(&d).unwrap();
+    for e in fs::read_dir(SRC).unwrap() {
+        let e = e.unwrap();
+        fs::copy(e.path(), d.join(e.file_name())).unwrap();
+    }
+    d
+}
+
+fn restamp(d: &PathBuf, name: &str) {
+    let p = d.join("manifest65.json");
+    let mut m: Value = serde_json::from_str(&fs::read_to_string(&p).unwrap()).unwrap();
+    let h: String = Sha256::digest(fs::read(d.join(name)).unwrap()).iter().map(|b| format!("{b:02x}")).collect();
+    m["sha256"][name] = Value::String(h);
+    fs::write(&p, serde_json::to_string_pretty(&m).unwrap()).unwrap();
+}
+
+/// Rewrite the first line of a JSONL fixture through `f`.
+fn edit_first(d: &PathBuf, name: &str, f: impl Fn(&mut Value)) {
+    let p = d.join(name);
+    let text = fs::read_to_string(&p).unwrap();
+    let mut lines: Vec<String> = text.lines().map(String::from).collect();
+    let mut v: Value = serde_json::from_str(&lines[0]).unwrap();
+    f(&mut v);
+    lines[0] = serde_json::to_string(&v).unwrap();
+    fs::write(&p, lines.join("\n") + "\n").unwrap();
+}
+
+fn run(d: &PathBuf, extra: &[&str]) -> (i32, String) {
+    let o = Command::new(env!("CARGO_BIN_EXE_replay")).arg(d).args(extra).output().unwrap();
+    (o.status.code().unwrap(), String::from_utf8_lossy(&o.stdout).into_owned())
+}
+
+#[test]
+fn clean_fixtures_pass_full_tier() {
+    let (c, out) = run(&PathBuf::from(SRC), &["--full"]);
+    assert_eq!(c, 0, "{out}");
+    assert!(out.contains("\"full\": 529") && out.contains("\"reduced\": 27"), "{out}");
+}
+
+#[test]
+fn changed_source_byte_fails_semantically() {
+    let d = copy("byte");
+    edit_first(&d, "witness65_reduced.jsonl", |v| v["byte_source"] = Value::from(v["byte_source"].as_i64().unwrap() + 1));
+    restamp(&d, "witness65_reduced.jsonl");
+    let (c, out) = run(&d, &[]);
+    assert_eq!(c, 1, "{out}");
+    assert!(out.contains("source byte"), "{out}");
+}
+
+#[test]
+fn changed_byte_without_restamp_fails_integrity() {
+    let d = copy("integrity");
+    edit_first(&d, "witness65_reduced.jsonl", |v| v["byte_source"] = Value::from(v["byte_source"].as_i64().unwrap() + 1));
+    let (c, out) = run(&d, &[]);
+    assert_eq!(c, 2, "{out}");
+    assert!(out.contains("REFUSE integrity"), "{out}");
+}
+
+#[test]
+fn negative_multiplicity_is_rejected() {
+    let d = copy("neg");
+    edit_first(&d, "witness65_reduced.jsonl", |v| {
+        let row = v["row"].as_object_mut().unwrap();
+        let k = row.keys().next().unwrap().clone();
+        row.insert(k, Value::from(-1));
+    });
+    restamp(&d, "witness65_reduced.jsonl");
+    let (c, out) = run(&d, &[]);
+    assert_eq!(c, 1, "{out}");
+    assert!(out.contains("NonPositiveMultiplicity"), "{out}");
+}
+
+#[test]
+fn unsupported_domain_is_rejected() {
+    let d = copy("domain");
+    // 600 maxima: S = 600 * 2^19 > 2^28, outside the supported domain
+    edit_first(&d, "witness65_reduced.jsonl", |v| {
+        v["row"].as_object_mut().unwrap().insert("127".into(), Value::from(600));
+    });
+    restamp(&d, "witness65_reduced.jsonl");
+    let (c, out) = run(&d, &[]);
+    assert_eq!(c, 1, "{out}");
+    assert!(out.contains("UnsupportedDomain"), "{out}");
+}
+
+#[test]
+fn tampered_table_fails_its_digest() {
+    let d = copy("table");
+    let p = d.join("softmax_tables65.json");
+    let mut t: Value = serde_json::from_str(&fs::read_to_string(&p).unwrap()).unwrap();
+    let key = t["tables"].as_object().unwrap().keys().next().unwrap().clone();
+    let b0 = t["tables"][&key]["B"][100].as_i64().unwrap();
+    t["tables"][&key]["B"][100] = Value::from(b0 + 1);
+    fs::write(&p, serde_json::to_string_pretty(&t).unwrap()).unwrap();
+    restamp(&d, "softmax_tables65.json");
+    let (c, out) = run(&d, &[]);
+    assert_eq!(c, 1, "{out}");
+    assert!(out.contains("table digest"), "{out}");
+}
+
+#[test]
+fn exact_reciprocal_fails_every_witness_but_keeps_equivalence_rows() {
+    let (c, out) = run(&PathBuf::from(SRC), &["--reciprocal", "exact", "--full"]);
+    assert_eq!(c, 1, "{out}");
+    assert!(out.contains("failures=556"), "{out}");
+    assert!(out.contains("\"equivalence\": 7"), "{out}");
+}
+
+#[test]
+fn missing_mandatory_maximum_is_rejected() {
+    let d = copy("nomax");
+    edit_first(&d, "witness65_reduced.jsonl", |v| {
+        v["row"].as_object_mut().unwrap().remove("127");
+    });
+    restamp(&d, "witness65_reduced.jsonl");
+    let (c, out) = run(&d, &[]);
+    assert_eq!(c, 1, "{out}");
+    assert!(out.contains("no mandatory maximum"), "{out}");
+}
+
+#[test]
+fn incorrect_computed_sum_is_rejected() {
+    let d = copy("sum");
+    edit_first(&d, "witness65_reduced.jsonl", |v| v["S"] = Value::from(v["S"].as_i64().unwrap() + 1));
+    restamp(&d, "witness65_reduced.jsonl");
+    let (c, out) = run(&d, &[]);
+    assert_eq!(c, 1, "{out}");
+    assert!(out.contains("!= stored S"), "{out}");
+}
+
+/// The witness keeps its table and digest but claims another calibration: the identity check must fire,
+/// not a byte comparison that might happen to agree.
+#[test]
+fn wrong_calibration_identity_is_rejected() {
+    let d = copy("ident");
+    edit_first(&d, "witness65_reduced.jsonl", |v| v["scale_bits"] = Value::from("3dcccccd"));
+    restamp(&d, "witness65_reduced.jsonl");
+    let (c, out) = run(&d, &[]);
+    assert_eq!(c, 1, "{out}");
+    assert!(out.contains("calibration identity"), "{out}");
+}
+
+/// The witness points at another calibration's table but keeps its own table digest.
+#[test]
+fn witness_pointing_at_another_table_is_rejected() {
+    let d = copy("othertable");
+    let tj: Value = serde_json::from_str(&fs::read_to_string(d.join("softmax_tables65.json")).unwrap()).unwrap();
+    edit_first(&d, "witness65_reduced.jsonl", |v| {
+        let own = v["table"].as_str().unwrap().to_string();
+        let other = tj["tables"].as_object().unwrap().keys().find(|k| **k != own).unwrap().clone();
+        v["table"] = Value::String(other);
+    });
+    restamp(&d, "witness65_reduced.jsonl");
+    let (c, out) = run(&d, &[]);
+    assert_eq!(c, 1, "{out}");
+    assert!(out.contains("table_sha256"), "{out}");
+}
diff --git a/.claude/probes/source-behavior-v1/SOFTMAX65.md b/.claude/probes/source-behavior-v1/SOFTMAX65.md
new file mode 100644
index 000000000..3f0dfed82
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/SOFTMAX65.md
@@ -0,0 +1,138 @@
+# Certified softmax preparation (D-TFLP 6.5, lab)
+
+This is a gate that answers one question for one int8 SOFTMAX calibration: can the correctly rounded
+reciprocal replace TFLM's `GetReciprocal` without changing any output byte on any supported row?
+It is lab evidence. Nothing here is linked into a production crate.
+
+## Four things, kept apart
+
+| artifact | depends on | file | meaning |
+|---|---|---|---|
+| source-global certificate | the TFLM reciprocal algorithm only | `softcert65_global.txt` | domain `[2^19, 2^28)`; exact reference `round(2^62 / (S << clz S))` monotone in every exponent band; exponent `35 − clz S` checked on every S; `E_h = max \|source − exact\| = 6` for every band `h = 4..12`. Measured once over every S in 5.4 s |
+| prepared table | `(mult, shift)` from `PreprocessSoftmaxScaling(β, scale)` | trace63 `softexp` output | admitted flag, `A = exp_on_negative_values`, `B = Rescale<12>` for d = −255..0 |
+| semantic receipt | `(scale, zero point, β)`, operator, source revision and digest | gate line `U receipt` | what the decision is issued *for* |
+| per-calibration decision | certificate + table | gate line `D` | `PROVED_OUTPUT_EQUIVALENT`, `REQUIRES_SOURCE_RECIPROCAL` or `REFUSE_UNKNOWN` |
+
+**A table digest is a numerical cache key, not a semantic identity.** The table is a function of
+`(mult, shift)`, i.e. of β·scale. The input zero point never enters it. Known calibrations 1
+(0.05, β 2) and 2 (0.1, β 1) prepare the identical table. Held-out calibrations 1 (0.2, β 1) and
+2 (1/128, β 1) reuse the tables of known calibrations 3 and 11. Calibration indices are 0-based throughout. The gate therefore prints the two separately:
+- `N numeric_key mult shift`: equal keys mean identical weights, and a decision may be cached on it;
+- `U receipt scale_bits zp beta_bits`: the identity the result belongs to. It is never derived from the key.
+
+## Table ↔ calibration correspondence (verified in the gate)
+
+The gate no longer trusts that the supplied table belongs to the claimed calibration.
+- It recomputes `mult`, `shift`, `diff_min` and every `(admitted, A, B)` from the claimed `(scale, β)`,
+  using the pinned TFLM primitives.
+- On any difference it refuses with `table_identity_mismatch`.
+- The Python driver keeps its own independent table check as a second line.
+
+Controls in `softcert65_run.json`:
+
+| control | result |
+|---|---|
+| calibration *i+1*'s table under calibration *i*'s identity (`input:wrong_calibration`) | 13/14 `typed_refusal:table_identity_mismatch`. The 14th pair (1→2) has identical tables and is correctly accepted |
+| same, gate check disabled (`input:wrong_calibration+skip_table_identity`) | 13/14 caught only by the driver's validation. This shows the gate's check is load-bearing |
+| calibration 1's table under calibration 2's identity (`table_identity_controls`) | accepted, same decision, **equal numeric key, different receipt** |
+| calibration 3's table under calibration 2's identity | `REFUSE_UNKNOWN table_identity_mismatch` |
+
+## Results (`softcert65_run.json`)
+
+Every decision is validated without the gate's code. The table is recomputed, the candidate set is
+compared with the exhaustive superset reference, every witness row is rebuilt and run through the real
+TFLM kernel, and gap claims are re-checked by a coin DP. All 22 calibrations validate.
+
+| group | candidates | reachable | unreachable | decisions |
+|---|---|---|---|---|
+| 14 known | 601 | 529 | 72 | calibration 9 `PROVED_OUTPUT_EQUIVALENT`; 13 `REQUIRES_SOURCE_RECIPROCAL` |
+| 8 held-out | 514 | 446 | 68 | 8 `REQUIRES_SOURCE_RECIPROCAL` |
+
+For calibration 9, 300 random admitted rows give identical bytes from the kernel, the source recipe
+and the exact recipe.
+
+Mutations (14 known calibrations each; every effect is either refused or detected):
+
+| mutation | affected | how |
+|---|---|---|
+| `e_minus2` | 2 | candidate set |
+| `one_sided_window` | 12 | candidate set |
+| `wrong_band` | 13 | candidate set + decision |
+| `wrong_weight_threshold` | 4 | candidate set |
+| `no_mandatory_max` | 8 | witness |
+| `no_reachability` | 13 | witness |
+| `allow_negative_multiplicity` | 2 | witness / typed refusal |
+| `witness_sum_off_by_max` | 13 | typed refusal |
+| wrong revision / wrong digest | 14 / 14 | typed refusal |
+| `e_minus1`, `exclude_lower_endpoint` | **0** | **ineffective** |
+
+The two ineffective mutations are reported, not hidden. Shrinking the window by one, or dropping
+its lower endpoint, does not reach any differing pair on these 14 calibrations, so they show nothing
+about the window's tightness there. `e_minus2` is the smallest window cut that is detected.
+
+## Economics (`perf65.txt`, `perf65_runs23.txt`; single thread, x86-64, 3 runs)
+
+| cost | value |
+|---|---|
+| global certificate | 5.4 s, once per source revision |
+| gate per calibration | median 291 ms, max 493 ms (calibration 9: 3 ms). This is mostly the reachability graph |
+| reciprocal alone, per row | 28–31 ns source vs 3.5 ns exact: about 26 ns saved |
+| whole recipe, per row | difference resolvable only at n ≤ 64. At n ≥ 256 it is inside run-to-run noise (−279 to +1,416 ns) |
+| break-even | about 98k rows per calibration for the gate; about 2·10^8 rows including the certificate |
+| calibration 10 at n = 8 | the exact recipe mismatches on 1 random row in all 3 runs. This is why it is not admitted there |
+
+The saving is real but small. The gate's value is the proof, not the speed.
+
+## Build and run
+
+You need a tflite-micro checkout at `5f64e4ad`, with the reference library built
+(`gen/linux_x86_64_default_gcc/lib/libtensorflow-microlite.a`). Compile `softcert65.cc`, `trace63.cc`,
+`recipall63.cc`, `perf65.cc` and `../fisherz-softmax-v1/softmax_oracle.cc` from the checkout root:
+
+```sh
+g++ -std=c++17 -O2 -fno-rtti -fno-exceptions -fno-threadsafe-statics \
+  -DTFLM_REMOVE_VIRTUAL_DELETE -DTF_LITE_DISABLE_X86_NEON -DKERNELS_OPTIMIZED_FOR_SPEED \
+  -DTF_LITE_USE_CTIME -Werror -Wall -Wextra -Wno-unused-parameter \
+  -I. -Itensorflow/lite/micro/tools/make/downloads \
+  -Itensorflow/lite/micro/tools/make/downloads/flatbuffers/include \
+  -Itensorflow/lite/micro/tools/make/downloads/kissfft \
+  -Igen/linux_x86_64_default_gcc/genfiles/ \
+  <probe>.cc gen/linux_x86_64_default_gcc/lib/libtensorflow-microlite.a -Wl,--gc-sections -lm -o <probe>
+```
+
+Then run from this directory:
+
+```sh
+./softcert65 global 5f64e4ad $(cat $TFLM_DIR/tensorflow/lite/micro/kernels/internal/{common.h,fixedpoint.h,reference/softmax.h} | sha256sum | cut -c1-64)
+uv run heldout65.py ./recipall63 ./trace63 recipall65_heldout.json 3
+TFLM_DIR=... uv run softcert65.py ./softcert65 ./trace63 ./softmax_oracle softcert65_run.json --mutations   # ~50 s
+uv run fixtures65.py softcert65_run.json ./trace63 ./softmax_oracle fixtures65   # byte-identical today
+./perf65 > perf65.txt
+```
+
+The fixtures are replayed without TFLM by `../pal256-admission-v1/replay`.
+
+## What this does not establish
+
+- It covers one source revision, one compiler and x86-64. Another revision needs a new certificate,
+  since the certificate is keyed by source digest.
+- It does not admit the exact reciprocal anywhere except calibration 9, and it changes no kernel.
+- It makes no claim for int16 SOFTMAX, other output quantizations or sums outside `[2^19, 2^28)`.
+- It does not import ONNX or TFLite models; calibrations are given as numbers.
+
+## Provenance
+
+The work comes from research branch `claude/bpe-tokenization-architecture-3xd4eh`:
+- `4b657dd25` (P1 gate);
+- `3fbd44792` (P2 fixtures);
+- the 6.3 helpers `trace63`, `recipall63` and `softmax63.py` (`7c8898274`);
+- `softmax_oracle.cc` (`74804aab0`).
+
+The audit narrative is Amendment 6.5 of `.claude/board/entries/2026-10-26-d-tflp-parity-audit.md`
+on that branch.
+
+Changes made while landing:
+- table-identity verification in the gate, with `N`/`U` outputs and the `skip_table_identity` switch;
+- `TFLM_DIR` instead of a hard-coded path;
+- the identity controls;
+- `softcert65_run.json` regenerated with them. Decisions, witnesses and unreachable pairs are identical to the research run.
diff --git a/.claude/probes/source-behavior-v1/fixtures65.py b/.claude/probes/source-behavior-v1/fixtures65.py
new file mode 100644
index 000000000..0d9cc1d18
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/fixtures65.py
@@ -0,0 +1,118 @@
+# /// script
+# requires-python = ">=3.10"
+# dependencies = ["numpy", "mpmath"]
+# ///
+"""D-TFLP Amendment 6.5 P2: durable reciprocal-witness fixtures, regenerable without the exhaustive search.
+
+Usage: fixtures65.py SOFTCERT_RUN.json TRACE63 ORACLE OUTDIR
+
+Input is a softcert65.py result (the gate's decisions, already validated). Nothing here repeats the
+3.75e9-value superset: the gate (boundary-pruned search + exact reachability) is what produces the
+witnesses, and this script re-runs every witness row through the TFLM kernel to record the kernel byte.
+
+Writes to OUTDIR:
+  softmax_tables65.json     prepared source weights per calibration (admitted, A = exp, B = Rescale<12>),
+                            straight from trace63 `softexp`, with each table's SHA-256;
+  witness65_full.jsonl      every kernel-confirmed witness (the complete validation tier);
+  witness65_reduced.jsonl   the reduced regression suite (selection rules in the "why" field);
+  equivalence65.jsonl       PROVED_OUTPUT_EQUIVALENT rows (calibration 9) with full kernel bytes;
+  unreachable65.jsonl       representative arithmetic candidates proved unreachable;
+  manifest65.json           SHA-256 of every file above, the source/kernel identity and the commands.
+"""
+import hashlib, json, random, subprocess, sys
+from pathlib import Path
+import numpy as np
+RUN, TRACE, ORACLE, OUTDIR = sys.argv[1:5]
+out = Path(OUTDIR); out.mkdir(parents=True, exist_ok=True)
+run = json.load(open(RUN))
+KERNEL = "TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64"
+def f32bits(v): return format(np.float32(v).view(np.uint32), "08x")
+def canon(o): return json.dumps(o, sort_keys=True, separators=(",", ":"))
+
+runs = [r for r in run["runs"] if r["group"] == "known"]
+tables, tdig = {}, {}
+for r in runs:
+    s, z, b = r["cal"]
+    t = subprocess.run([TRACE], input=f"softexp {f32bits(s)} {f32bits(b)}\n", capture_output=True, text=True, check=True).stdout.splitlines()
+    rows = [l.split() for l in t[1:]]
+    tab = dict(scale_bits=f32bits(s), beta_bits=f32bits(b), P=list(map(int, t[0].split()[1:])),
+               d=[int(x[1]) for x in rows], admitted=[int(x[2]) for x in rows], A=[int(x[4]) for x in rows], B=[int(x[5]) for x in rows])
+    key = f"{tab['scale_bits']}:{tab['beta_bits']}"
+    tables[key] = tab; tdig[key] = hashlib.sha256(canon(tab).encode()).hexdigest()
+
+def kernel(cal, rows):
+    s, z, b = cal
+    text = "".join(f"{len(q)} {f32bits(s)} {z} {f32bits(b)} " + " ".join(map(str, q)) + "\n" for q in rows)
+    res = subprocess.run([ORACLE], input=text, capture_output=True, text=True).stdout.splitlines()
+    assert len(res) == len(rows)
+    return [list(map(int, l.split()[2:])) for l in res]
+
+full = []
+for r in runs:
+    s, z, b = r["cal"]; key = f"{f32bits(s)}:{f32bits(b)}"
+    rows = [[127 + int(d) for d, n in sorted(w["mult"].items(), key=lambda t: -int(t[0])) for _ in range(n)] for w in r["witnesses"]]
+    kb = kernel(r["cal"], rows)
+    for w, q, k in zip(r["witnesses"], rows, kb):
+        pos = q.index(127 + w["d"])
+        assert k[pos] == w["bs"] != w["bx"], "kernel does not confirm the witness"
+        S = w["S"]; h = 32 - S.bit_length()
+        full.append(dict(cal_index=r["index"], scale_bits=f32bits(s), zero_point=z, beta_bits=f32bits(b), table=key,
+                         table_sha256=tdig[key], S=S, band_h=h, exponent=35 - h, d=w["d"], weight=w["w"],
+                         row={str(127 + int(d)): n for d, n in w["mult"].items()}, row_length=len(q), distinct_codes=len(w["mult"]),
+                         sh_source=w["sh_src"], sh_exact=w["sh_exact"], byte_source=w["bs"], byte_exact=w["bx"], kernel_byte=k[pos],
+                         kernel=KERNEL))
+for i, x in enumerate(full): x["id"] = f"W{i:03d}"
+
+def threshold_margin(x):
+    # distance of the nearer reciprocal arm to the byte-transition threshold T_m between the two bytes
+    ex, w = x["exponent"], x["weight"]; m = min(x["byte_source"], x["byte_exact"]) + 128
+    beta = (m << ex) + (1 << (ex - 1)); T = -(-(beta * (1 << 31) - (1 << 30)) // w)
+    return min(abs(x["sh_source"] - T), abs(x["sh_exact"] - T)), T
+
+for x in full:
+    x["threshold_margin"], x["threshold"] = threshold_margin(x)
+red = {}
+def pick(x, why): red.setdefault(x["id"], dict(x)).setdefault("why", []).append(why)
+for ci in sorted({x["cal_index"] for x in full}):
+    pick(min((x for x in full if x["cal_index"] == ci), key=lambda x: (x["row_length"], x["id"])), f"shortest witness of divergent calibration {ci}")
+for h in sorted({x["band_h"] for x in full}):
+    pick(min((x for x in full if x["band_h"] == h), key=lambda x: (x["row_length"], x["id"])), f"exponent band h={h}")
+for x in sorted(full, key=lambda x: (x["threshold_margin"], x["id"]))[:3]: pick(x, f"threshold endpoint (margin {x['threshold_margin']})")
+pick(min(full, key=lambda x: (x["row_length"], x["id"])), "minimum row length")
+pick(max(full, key=lambda x: (x["row_length"], x["id"])), "maximum row length")
+pick(min(full, key=lambda x: (x["distinct_codes"], x["id"])), "fewest distinct codes")
+pick(max(full, key=lambda x: (x["distinct_codes"], x["id"])), "most distinct codes")
+pick(max(full, key=lambda x: (max(x["byte_source"], x["byte_exact"]), x["id"])), "nearest +127 saturation")
+pick(min(full, key=lambda x: (min(x["byte_source"], x["byte_exact"]), x["id"])), "nearest -128 saturation")
+reduced = sorted(red.values(), key=lambda x: x["id"])
+
+# calibration 9: PROVED_OUTPUT_EQUIVALENT; rows with their full kernel bytes
+eqv = []
+r9 = next(r for r in runs if r["decision"] == "PROVED_OUTPUT_EQUIVALENT")
+s, z, b = r9["cal"]; key = f"{f32bits(s)}:{f32bits(b)}"; tab = tables[key]
+adm = [d for d, a in zip(tab["d"], tab["admitted"]) if a]
+rng = random.Random(6509)
+rows = [[127] + [127 + rng.choice(adm) for _ in range(n - 1)] for n in (2, 3, 16, 64, 256, 511)] + [[127] * 511]
+for i, (q, k) in enumerate(zip(rows, kernel(r9["cal"], rows))):
+    eqv.append(dict(id=f"E{i}", cal_index=r9["index"], scale_bits=f32bits(s), zero_point=z, beta_bits=f32bits(b), table=key, table_sha256=tdig[key],
+                    row=q, kernel_bytes=k, kernel=KERNEL))
+
+unr = []
+for r in runs:
+    for u in r["unreachable_pairs"]:
+        if u["status"] not in {x["status"] for x in unr if x["cal_index"] == r["index"]}:
+            s, z, b = r["cal"]; key = f"{f32bits(s)}:{f32bits(b)}"
+            unr.append(dict(cal_index=r["index"], table=key, table_sha256=tdig[key], S=u["S"], d=u["d"], status=u["status"]))
+
+files = {"softmax_tables65.json": json.dumps(dict(tables=tables, sha256=tdig), indent=1) + "\n",
+         "witness65_full.jsonl": "".join(canon(x) + "\n" for x in full),
+         "witness65_reduced.jsonl": "".join(canon(x) + "\n" for x in reduced),
+         "equivalence65.jsonl": "".join(canon(x) + "\n" for x in eqv),
+         "unreachable65.jsonl": "".join(canon(x) + "\n" for x in unr)}
+for n, t in files.items(): (out / n).write_text(t)
+man = dict(source="TFLM 5f64e4ad (tensorflow/ tree identical to 8f6596d)", kernel=KERNEL,
+           certificate="softcert65_global.txt", generator=["softcert65.py SOFTCERT TRACE63 ORACLE run.json", "fixtures65.py run.json TRACE63 ORACLE OUTDIR"],
+           counts=dict(full=len(full), reduced=len(reduced), equivalence_rows=len(eqv), unreachable=len(unr), tables=len(tables)),
+           sha256={n: hashlib.sha256(t.encode()).hexdigest() for n, t in files.items()})
+(out / "manifest65.json").write_text(json.dumps(man, indent=1) + "\n")
+print(json.dumps(man, indent=1))
diff --git a/.claude/probes/source-behavior-v1/fixtures65/equivalence65.jsonl b/.claude/probes/source-behavior-v1/fixtures65/equivalence65.jsonl
new file mode 100644
index 000000000..74733ad00
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/fixtures65/equivalence65.jsonl
@@ -0,0 +1,7 @@
+{"beta_bits":"40000000","cal_index":9,"id":"E0","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_bytes":[127,-128],"row":[127,119],"scale_bits":"3f000000","table":"3f000000:40000000","table_sha256":"0893102287fc9aa10014f6d5d01e0109707b73268d492bf8cc59a7028f9d4936","zero_point":-25}
+{"beta_bits":"40000000","cal_index":9,"id":"E1","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_bytes":[59,-128,-59],"row":[127,121,126],"scale_bits":"3f000000","table":"3f000000:40000000","table_sha256":"0893102287fc9aa10014f6d5d01e0109707b73268d492bf8cc59a7028f9d4936","zero_point":-25}
+{"beta_bits":"40000000","cal_index":9,"id":"E2","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_bytes":[-46,-128,-128,-128,-128,-128,-128,-128,-46,-98,-128,-127,-98,-128,-128,-98],"row":[127,114,116,116,114,114,118,116,127,126,113,122,126,120,114,126],"scale_bits":"3f000000","table":"3f000000:40000000","table_sha256":"0893102287fc9aa10014f6d5d01e0109707b73268d492bf8cc59a7028f9d4936","zero_point":-25}
+{"beta_bits":"40000000","cal_index":9,"id":"E3","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_bytes":[-101,-128,-101,-128,-128,-118,-128,-128,-124,-128,-128,-128,-128,-128,-127,-128,-124,-128,-128,-101,-128,-128,-124,-128,-128,-101,-124,-118,-128,-128,-128,-128,-128,-128,-128,-101,-101,-128,-128,-127,-101,-128,-128,-118,-124,-127,-128,-127,-128,-127,-128,-124,-128,-128,-128,-128,-124,-128,-128,-128,-128,-128,-128,-128],"row":[127,122,127,115,120,126,116,112,125,112,121,116,113,119,124,117,125,119,113,127,116,119,125,119,116,127,125,126,113,122,122,116,123,119,114,127,127,122,120,124,127,120,122,126,125,124,121,124,114,124,114,125,119,122,113,114,125,115,113,113,123,123,112,123],"scale_bits":"3f000000","table":"3f000000:40000000","table_sha256":"0893102287fc9aa10014f6d5d01e0109707b73268d492bf8cc59a7028f9d4936","zero_point":-25}
+{"beta_bits":"40000000","cal_index":9,"id":"E4","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_bytes":[-119,-127,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-119,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-125,-119,-128,-128,-128,-125,-125,-128,-119,-128,-127,-128,-128,-128,-119,-128,-125,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-125,-128,-125,-128,-128,-128,-128,-128,-125,-128,-128,-128,-125,-128,-128,-127,-128,-128,-128,-128,-128,-128,-128,-128,-125,-128,-128,-128,-128,-119,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-125,-128,-128,-128,-128,-128,-128,-128,-128,-119,-128,-128,-119,-128,-128,-128,-128,-128,-128,-119,-128,-128,-119,-128,-128,-128,-128,-128,-128,-128,-128,-128,-127,-128,-125,-128,-128,-128,-128,-127,-127,-128,-128,-119,-128,-128,-128,-128,-128,-125,-128,-128,-128,-128,-125,-128,-128,-128,-128,-128,-128,-119,-128,-127,-128,-128,-128,-125,-128,-128,-128,-128,-128,-128,-125,-127,-128,-119,-128,-128,-128,-128,-128,-128,-128,-127,-128,-127,-119,-128,-128,-128,-119,-125,-128,-128,-128,-128,-128,-128,-125,-128,-128,-128,-128,-127,-128,-128,-128,-128,-128,-128,-128,-128,-128,-119,-128,-128,-128,-128,-128,-128,-125,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-119,-128,-128,-128,-128,-128,-128,-128,-127,-128,-119,-128,-128,-125,-128,-119,-128,-128,-128,-128,-128],"row":[127,125,123,113,121,122,115,112,113,117,114,119,114,127,117,112,121,112,121,120,114,123,120,117,123,113,120,126,127,114,114,116,126,126,123,127,120,125,121,114,124,127,122,126,121,119,115,112,121,114,118,120,119,119,118,122,119,126,124,126,121,117,123,119,114,126,124,116,116,126,122,115,125,113,119,115,122,122,122,120,123,126,112,124,115,120,127,117,124,114,115,122,118,114,116,119,119,115,112,115,115,126,120,122,116,124,124,116,113,117,127,117,112,127,117,119,116,123,113,118,127,113,114,127,124,116,115,119,119,121,115,118,112,125,120,126,119,113,114,117,125,125,116,118,127,122,119,112,119,120,126,119,116,123,117,126,112,116,118,122,121,119,127,119,125,117,122,116,126,120,116,122,112,117,123,126,125,114,127,120,119,113,112,112,123,119,125,120,125,127,124,120,123,127,126,116,117,123,117,122,120,126,112,124,113,121,125,114,124,115,112,120,118,118,124,121,127,124,118,117,120,115,120,126,114,120,122,115,120,124,123,115,113,114,121,127,124,120,124,118,113,117,118,125,120,127,120,120,126,118,127,123,122,118,116,121],"scale_bits":"3f000000","table":"3f000000:40000000","table_sha256":"0893102287fc9aa10014f6d5d01e0109707b73268d492bf8cc59a7028f9d4936","zero_point":-25}
+{"beta_bits":"40000000","cal_index":9,"id":"E5","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_bytes":[-123,-128,-128,-127,-123,-123,-127,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-127,-126,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-127,-127,-128,-128,-128,-128,-128,-127,-128,-128,-128,-123,-128,-128,-128,-128,-128,-128,-128,-128,-128,-123,-128,-128,-123,-128,-128,-128,-128,-128,-128,-127,-128,-128,-128,-128,-128,-123,-128,-128,-128,-128,-128,-128,-127,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-126,-126,-128,-123,-128,-128,-123,-128,-128,-128,-128,-128,-126,-127,-128,-127,-126,-128,-128,-128,-128,-128,-123,-128,-128,-128,-128,-123,-123,-128,-128,-128,-128,-123,-128,-127,-128,-128,-128,-126,-128,-128,-128,-126,-123,-128,-128,-128,-123,-128,-128,-123,-128,-128,-128,-128,-126,-128,-128,-128,-126,-128,-128,-128,-127,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-123,-128,-128,-123,-127,-128,-128,-128,-128,-128,-126,-128,-128,-128,-128,-128,-128,-126,-128,-128,-126,-128,-128,-128,-128,-128,-126,-128,-128,-128,-123,-128,-127,-128,-128,-128,-126,-128,-128,-128,-128,-128,-128,-123,-126,-128,-123,-128,-128,-128,-128,-128,-128,-126,-128,-126,-126,-128,-128,-128,-127,-128,-126,-127,-127,-127,-127,-128,-127,-128,-128,-128,-126,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-127,-128,-128,-128,-128,-128,-127,-128,-128,-126,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-126,-123,-128,-128,-128,-128,-126,-128,-128,-128,-128,-126,-128,-127,-128,-128,-128,-128,-128,-123,-128,-128,-128,-128,-128,-128,-126,-128,-128,-123,-128,-128,-128,-128,-128,-127,-128,-123,-128,-128,-128,-128,-128,-127,-128,-128,-128,-128,-128,-127,-123,-126,-127,-128,-126,-128,-128,-128,-127,-127,-128,-126,-128,-123,-128,-123,-128,-128,-128,-127,-127,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-126,-128,-128,-128,-128,-128,-128,-123,-128,-128,-126,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-127,-128,-128,-128,-128,-128,-128,-128,-123,-128,-128,-128,-126,-123,-128,-128,-128,-128,-128,-128,-128,-128,-127,-128,-128,-128,-128,-126,-128,-128,-128,-128,-126,-128,-128,-128,-127,-128,-128,-128,-128,-128,-128,-127,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-123,-128,-128,-128,-128,-128,-128,-128,-127,-128,-128,-127,-128,-128,-128,-123,-128,-128,-128,-128,-128,-128,-128,-128,-128,-128,-127,-128,-126,-128,-128,-128,-128,-128,-128,-128,-123,-128,-128,-128,-126,-126,-128,-128,-128,-123,-128,-128,-128,-128,-127,-128,-128,-128,-128,-128,-127,-128],"row":[127,115,112,125,127,127,125,113,117,123,117,120,123,124,115,118,118,125,126,113,119,116,119,113,123,116,123,122,112,114,113,113,123,125,125,119,116,114,115,124,125,112,114,116,127,114,116,114,124,119,117,112,123,122,127,122,118,127,116,124,112,117,119,124,125,120,112,123,113,117,127,120,120,118,119,120,119,125,118,123,118,113,115,119,112,124,123,115,112,112,116,126,126,124,127,122,122,127,114,117,122,116,117,126,125,123,125,126,118,113,113,115,112,127,112,117,112,112,127,127,117,120,122,116,127,112,125,112,114,112,126,114,115,121,126,127,118,120,116,127,114,114,127,117,116,118,121,126,113,119,117,126,116,119,118,125,115,114,118,124,118,119,121,116,113,116,114,115,120,115,115,118,122,123,113,114,124,123,114,117,122,114,120,112,112,123,127,115,123,127,125,114,113,117,117,114,126,121,124,122,118,117,113,126,114,114,126,121,122,120,120,121,126,118,123,119,127,116,125,120,119,117,126,113,123,116,116,114,117,127,126,115,127,117,112,123,119,113,118,126,120,126,126,121,120,112,125,123,126,125,125,125,125,116,125,114,122,123,126,124,115,113,117,121,118,115,117,119,121,125,113,115,119,112,116,125,116,119,126,121,113,119,117,124,113,120,118,120,120,126,127,124,123,114,112,126,124,117,116,117,126,118,125,119,118,112,112,122,127,120,119,113,117,118,119,126,116,115,127,113,119,115,122,118,125,124,127,115,119,120,122,119,125,123,115,115,123,114,125,127,126,125,113,126,117,124,117,125,125,116,126,118,127,124,127,114,124,115,125,125,118,119,119,114,118,117,117,119,117,114,118,118,126,118,112,124,117,113,116,127,123,123,126,121,114,121,119,122,120,115,115,117,120,116,114,120,124,125,119,116,124,119,116,122,112,127,121,119,118,126,127,117,119,114,121,123,119,124,116,125,118,116,121,120,126,112,119,123,118,126,116,112,120,125,112,113,122,113,116,113,125,120,117,123,116,120,124,112,112,119,112,115,117,127,117,118,123,118,116,118,120,125,112,117,125,119,123,118,127,118,123,120,121,115,117,117,117,119,121,125,117,126,123,114,117,124,116,122,123,127,112,114,112,126,126,121,119,116,127,121,121,123,116,125,117,121,120,114,119,125,117],"scale_bits":"3f000000","table":"3f000000:40000000","table_sha256":"0893102287fc9aa10014f6d5d01e0109707b73268d492bf8cc59a7028f9d4936","zero_point":-25}
+{"beta_bits":"40000000","cal_index":9,"id":"E6","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_bytes":[-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127,-127],"row":[127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127,127],"scale_bits":"3f000000","table":"3f000000:40000000","table_sha256":"0893102287fc9aa10014f6d5d01e0109707b73268d492bf8cc59a7028f9d4936","zero_point":-25}
diff --git a/.claude/probes/source-behavior-v1/fixtures65/manifest65.json b/.claude/probes/source-behavior-v1/fixtures65/manifest65.json
new file mode 100644
index 000000000..cc076e5b5
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/fixtures65/manifest65.json
@@ -0,0 +1,23 @@
+{
+ "source": "TFLM 5f64e4ad (tensorflow/ tree identical to 8f6596d)",
+ "kernel": "TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64",
+ "certificate": "softcert65_global.txt",
+ "generator": [
+  "softcert65.py SOFTCERT TRACE63 ORACLE run.json",
+  "fixtures65.py run.json TRACE63 ORACLE OUTDIR"
+ ],
+ "counts": {
+  "full": 529,
+  "reduced": 27,
+  "equivalence_rows": 7,
+  "unreachable": 10,
+  "tables": 14
+ },
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+}
diff --git a/.claude/probes/source-behavior-v1/fixtures65/softmax_tables65.json b/.claude/probes/source-behavior-v1/fixtures65/softmax_tables65.json
new file mode 100644
index 000000000..2a0a25796
--- /dev/null
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diff --git a/.claude/probes/source-behavior-v1/fixtures65/unreachable65.jsonl b/.claude/probes/source-behavior-v1/fixtures65/unreachable65.jsonl
new file mode 100644
index 000000000..49eba96d1
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/fixtures65/unreachable65.jsonl
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diff --git a/.claude/probes/source-behavior-v1/fixtures65/witness65_full.jsonl b/.claude/probes/source-behavior-v1/fixtures65/witness65_full.jsonl
new file mode 100644
index 000000000..8348a9d52
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+{"S":1065298,"band_h":11,"beta_bits":"40000000","byte_exact":-59,"byte_source":-60,"cal_index":7,"d":-13,"distinct_codes":6,"exponent":24,"id":"W113","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-60,"row":{"-108":1,"-40":1,"111":1,"114":1,"127":1,"38":1},"row_length":6,"scale_bits":"3cc00000","sh_exact":2113774562,"sh_source":2113774558,"table":"3cc00000:40000000","table_sha256":"808abb69bad6f28442eec82caa137301adf9d069015f19c3f197c0ee6b60598c","threshold":2113774562,"threshold_margin":0,"weight":1167566608,"why":["shortest witness of divergent calibration 7"],"zero_point":-88}
+{"S":10854292,"band_h":8,"beta_bits":"3f800000","byte_exact":-120,"byte_source":-121,"cal_index":8,"d":-1,"distinct_codes":10,"exponent":27,"id":"W118","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-121,"row":{"100":1,"104":1,"106":1,"109":1,"112":1,"115":1,"118":1,"122":1,"126":1,"127":20},"row_length":29,"scale_bits":"3f000000","sh_exact":1659656706,"sh_source":1659656702,"table":"3f000000:3f800000","table_sha256":"1af06aaebb314a90f66fbf0ee8cbd631bb72d97bead8d15f3fecc213ebe6028e","threshold":1659656703,"threshold_margin":1,"weight":1302515042,"why":["shortest witness of divergent calibration 8","most distinct codes"],"zero_point":-90}
+{"S":17083389,"band_h":7,"beta_bits":"3f800000","byte_exact":-124,"byte_source":-125,"cal_index":10,"d":-207,"distinct_codes":5,"exponent":28,"id":"W137","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-125,"row":{"-43":1,"-80":1,"120":1,"127":30,"17":1},"row_length":34,"scale_bits":"3b800000","sh_exact":2108995880,"sh_source":2108995876,"table":"3b800000:3f800000","table_sha256":"1d563d535dd1b535a3c2fd9b06fffd49f57fe7af401267b6e53db14e7b0ea366","threshold":2108995877,"threshold_margin":1,"weight":956669785,"why":["exponent band h=7"],"zero_point":20}
+{"S":134451597,"band_h":4,"beta_bits":"3f800000","byte_exact":-128,"byte_source":-127,"cal_index":10,"d":-177,"distinct_codes":5,"exponent":31,"id":"W155","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-127,"row":{"-112":1,"-18":1,"-50":1,"123":1,"127":254},"row_length":258,"scale_bits":"3b800000","sh_exact":2143748253,"sh_source":2143748256,"table":"3b800000:3f800000","table_sha256":"1d563d535dd1b535a3c2fd9b06fffd49f57fe7af401267b6e53db14e7b0ea366","threshold":2143748254,"threshold_margin":1,"weight":1075612775,"why":["exponent band h=4"],"zero_point":20}
+{"S":1386150,"band_h":11,"beta_bits":"3f800000","byte_exact":-70,"byte_source":-69,"cal_index":10,"d":-129,"distinct_codes":4,"exponent":24,"id":"W188","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-69,"row":{"-2":1,"-90":1,"1":1,"127":1},"row_length":4,"scale_bits":"3b800000","sh_exact":1624499379,"sh_source":1624499382,"table":"3b800000:3f800000","table_sha256":"1d563d535dd1b535a3c2fd9b06fffd49f57fe7af401267b6e53db14e7b0ea366","threshold":1624499382,"threshold_margin":0,"weight":1297436397,"why":["shortest witness of divergent calibration 10","exponent band h=11","minimum row length"],"zero_point":20}
+{"S":2561352,"band_h":10,"beta_bits":"3f800000","byte_exact":-93,"byte_source":-94,"cal_index":10,"d":-107,"distinct_codes":5,"exponent":25,"id":"W195","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-94,"row":{"-126":1,"126":1,"127":2,"20":1,"88":1},"row_length":6,"scale_bits":"3b800000","sh_exact":1758290008,"sh_source":1758290004,"table":"3b800000:3f800000","table_sha256":"1d563d535dd1b535a3c2fd9b06fffd49f57fe7af401267b6e53db14e7b0ea366","threshold":1758290005,"threshold_margin":1,"weight":1413866306,"why":["exponent band h=10"],"zero_point":20}
+{"S":8775467,"band_h":8,"beta_bits":"3f800000","byte_exact":-117,"byte_source":-116,"cal_index":10,"d":-73,"distinct_codes":5,"exponent":27,"id":"W220","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-116,"row":{"-9":1,"-92":1,"120":1,"127":14,"54":1},"row_length":18,"scale_bits":"3b800000","sh_exact":2052813658,"sh_source":2052813660,"table":"3b800000:3f800000","table_sha256":"1d563d535dd1b535a3c2fd9b06fffd49f57fe7af401267b6e53db14e7b0ea366","threshold":2052813659,"threshold_margin":1,"weight":1614685927,"why":["exponent band h=8"],"zero_point":20}
+{"S":4409295,"band_h":9,"beta_bits":"3f800000","byte_exact":-100,"byte_source":-101,"cal_index":10,"d":-26,"distinct_codes":5,"exponent":26,"id":"W261","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-101,"row":{"-15":1,"-51":1,"-87":1,"101":1,"127":6},"row_length":10,"scale_bits":"3b800000","sh_exact":2042775377,"sh_source":2042775376,"table":"3b800000:3f800000","table_sha256":"1d563d535dd1b535a3c2fd9b06fffd49f57fe7af401267b6e53db14e7b0ea366","threshold":2042775377,"threshold_margin":0,"weight":1940089800,"why":["exponent band h=9"],"zero_point":20}
+{"S":265308051,"band_h":4,"beta_bits":"3f800000","byte_exact":-128,"byte_source":-127,"cal_index":10,"d":-3,"distinct_codes":5,"exponent":31,"id":"W280","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-127,"row":{"-90":1,"124":1,"127":503,"46":1,"97":1},"row_length":507,"scale_bits":"3b800000","sh_exact":1086398905,"sh_source":1086398908,"table":"3b800000:3f800000","table_sha256":"1d563d535dd1b535a3c2fd9b06fffd49f57fe7af401267b6e53db14e7b0ea366","threshold":1086398906,"threshold_margin":1,"weight":2122464406,"why":["maximum row length"],"zero_point":20}
+{"S":1224417,"band_h":11,"beta_bits":"40000000","byte_exact":-100,"byte_source":-101,"cal_index":11,"d":-177,"distinct_codes":5,"exponent":24,"id":"W300","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-101,"row":{"-106":1,"-116":1,"-50":1,"127":1,"94":1},"row_length":5,"scale_bits":"3b800000","sh_exact":1839079181,"sh_source":1839079178,"table":"3b800000:40000000","table_sha256":"62049e5eb8d00e002d85dff444e722580095b37cf56f81b2c65678eac775f944","threshold":1839079180,"threshold_margin":1,"weight":538743480,"why":["shortest witness of divergent calibration 11"],"zero_point":-91}
+{"S":862117,"band_h":12,"beta_bits":"3f800000","byte_exact":-60,"byte_source":-61,"cal_index":12,"d":-61,"distinct_codes":5,"exponent":23,"id":"W435","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-61,"row":{"-118":1,"-122":1,"-15":1,"127":1,"66":1},"row_length":5,"scale_bits":"3c6075f7","sh_exact":1305971123,"sh_source":1305971122,"table":"3c6075f7:3f800000","table_sha256":"10810ccc05e10de9c0c851f1c5b725364fe91b5ce5dea999e1f5f9e9b24030e3","threshold":1305971123,"threshold_margin":0,"weight":931086360,"why":["shortest witness of divergent calibration 12"],"zero_point":29}
+{"S":34631809,"band_h":6,"beta_bits":"3f800000","byte_exact":-126,"byte_source":-125,"cal_index":12,"d":-32,"distinct_codes":5,"exponent":29,"id":"W458","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-125,"row":{"-105":1,"-73":1,"127":65,"40":1,"95":1},"row_length":69,"scale_bits":"3c6075f7","sh_exact":2080676584,"sh_source":2080676588,"table":"3c6075f7:3f800000","table_sha256":"10810ccc05e10de9c0c851f1c5b725364fe91b5ce5dea999e1f5f9e9b24030e3","threshold":2080676585,"threshold_margin":1,"weight":1385272359,"why":["exponent band h=6"],"zero_point":29}
+{"S":1536514,"band_h":11,"beta_bits":"40000000","byte_exact":-117,"byte_source":-116,"cal_index":13,"d":-74,"distinct_codes":5,"exponent":24,"id":"W495","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-116,"row":{"-108":1,"-24":1,"118":1,"127":2,"53":1},"row_length":6,"scale_bits":"3c6075f7","sh_exact":1465525087,"sh_source":1465525090,"table":"3c6075f7:40000000","table_sha256":"56fdbb7cb44ea3e9a58e89213c1ac446e52d559a074ceb2f825546b89d183c94","threshold":1465525089,"threshold_margin":1,"weight":282718575,"why":["shortest witness of divergent calibration 13"],"zero_point":-98}
+{"S":975999,"band_h":12,"beta_bits":"40000000","byte_exact":-49,"byte_source":-48,"cal_index":13,"d":-20,"distinct_codes":6,"exponent":23,"id":"W515","kernel":"TFLM 5f64e4ad tensorflow/lite/micro/kernels/internal/reference/softmax.h, int8, g++ 13.3.0 -Os/-O2 baseline library, x86_64","kernel_byte":-48,"row":{"-124":1,"-128":1,"-62":1,"107":1,"127":1,"80":1},"row_length":6,"scale_bits":"3c6075f7","sh_exact":1153587152,"sh_source":1153587154,"table":"3c6075f7:40000000","table_sha256":"56fdbb7cb44ea3e9a58e89213c1ac446e52d559a074ceb2f825546b89d183c94","threshold":1153587153,"threshold_margin":1,"weight":1241470727,"why":["nearest +127 saturation"],"zero_point":-98}
diff --git a/.claude/probes/source-behavior-v1/heldout65.py b/.claude/probes/source-behavior-v1/heldout65.py
new file mode 100644
index 000000000..f1a2de7c4
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/heldout65.py
@@ -0,0 +1,36 @@
+# /// script
+# requires-python = ">=3.10"
+# dependencies = ["numpy", "mpmath"]
+# ///
+"""D-TFLP Amendment 6.5: held-out softmax calibrations and their exhaustive superset reference.
+
+The 8 calibrations below are not among the 14 of softmax63.py (scales, zero points and betas chosen
+outside that set; betas 0.5, 1.5 and 3.0 never appear there). This script runs the unchanged exhaustive
+recipall63 binary on each, giving the reference candidate set the 6.5 gate is checked against.
+Usage: heldout65.py RECIPALL TRACE63 OUT.json [JOBS]
+"""
+import json, subprocess, sys, time, concurrent.futures as cf
+import numpy as np
+HELDOUT = [(0.03, 10, 1.0), (0.2, -50, 1.0), (0.0078125, 0, 1.0), (0.125, 3, 2.0),
+           (0.07, -100, 0.5), (0.25, 60, 1.5), (0.0019, 5, 1.0), (0.04, 0, 3.0)]
+def f32bits(v): return format(np.float32(v).view(np.uint32), "08x")
+if __name__ == "__main__":
+    RA, TRACE, OUT, *rest = sys.argv[1:]
+    JOBS = int(rest[0]) if rest else 3
+    def job(i):
+        s, z, b = HELDOUT[i]
+        t = subprocess.run([TRACE], input=f"softexp {f32bits(s)} {f32bits(b)}\n", capture_output=True, text=True, check=True).stdout.splitlines()[1:]
+        r = subprocess.run([RA], input=f"C {i}\n" + "\n".join(t) + "\n", capture_output=True, text=True)
+        assert r.returncode == 0, r.stderr
+        return r.stdout.splitlines()
+    t0 = time.perf_counter()
+    lines = [l for part in cf.ThreadPoolExecutor(JOBS).map(job, range(len(HELDOUT))) for l in part]
+    per, cand = {}, []
+    for l in lines:
+        t = l.split()
+        if t[0] == "A": per[int(t[1])] = dict(cal=HELDOUT[int(t[1])], s_lo=int(t[2]), s_hi=int(t[3]), s_where_reciprocal_differs=int(t[4]), candidate_pairs=int(t[5]))
+        elif t[0] == "X": cand.append(dict(cal=int(t[1]), S=int(t[2]), d=int(t[3]), source_byte=int(t[4]), exact_byte=int(t[5])))
+    res = dict(arm="correctly rounded reciprocal", calibrations=HELDOUT, candidate_pairs=len(cand), candidate_samples=cand,
+               per_calibration=per, wall_s=round(time.perf_counter() - t0, 1))
+    json.dump(res, open(OUT, "w"), indent=1)
+    print(json.dumps({k: v for k, v in res.items() if k != "candidate_samples"}, indent=1))
diff --git a/.claude/probes/source-behavior-v1/perf65.cc b/.claude/probes/source-behavior-v1/perf65.cc
new file mode 100644
index 000000000..69b31cc72
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/perf65.cc
@@ -0,0 +1,111 @@
+// D-TFLP Amendment 6.5 P3: execution cost of the two softmax recipe alternatives against the pinned TFLM
+// kernel, on identical admitted workloads, with output parity reported beside every timing.
+//
+// Arms (int8 SOFTMAX, output 1/256 zp -128), per (calibration, n):
+//   kernel        TFLM reference kernel Invoke over R rows x n;
+//   source        prepared recipe: weights from TFLM primitives, per row integer sum, TFLM GetReciprocal,
+//                 SRDHM + RoundingDivideByPOT, -128, clamp (perf63's recipe);
+//   exact         the same recipe with the correctly rounded reciprocal round(2^62 / (S << clz(S))),
+//                 computed with one u64 division (S << clz(S) is in [2^31, 2^32), so 2^63 + den and
+//                 2 * den fit in 64 bits). SourceParity is claimed for this arm ONLY on a calibration the
+//                 6.5 gate certified PROVED_OUTPUT_EQUIVALENT (calibration 9); elsewhere its mismatches
+//                 are reported and it is not admitted;
+//   recip_only    the per-row reciprocal alone (source vs exact) over the same rows' sums.
+// Workload: R rows of n codes from a fixed xorshift stream; every n <= 511 keeps S < 2^28 (admitted).
+// Timing: steady_clock, median of 7 runs after 1 warm-up, single thread. Output: CSV lines.
+#include <algorithm>
+#include <chrono>
+#include <cmath>
+#include <cstdint>
+#include <cstdio>
+#include <cstdlib>
+#include <vector>
+
+#include "tensorflow/lite/micro/builtin_op_data.h"
+#include "tensorflow/lite/micro/kernels/internal/common.h"
+#include "tensorflow/lite/micro/kernels/internal/fixedpoint.h"
+#include "tensorflow/lite/micro/kernels/internal/quantization_util.h"
+#include "tensorflow/lite/micro/kernels/kernel_runner.h"
+#include "tensorflow/lite/micro/kernels/micro_ops.h"
+#include "tensorflow/lite/micro/test_helpers.h"
+
+using namespace tflite::micro;
+using clk = std::chrono::steady_clock;
+
+template <class F> static double median_ns(F f) {
+  f();
+  std::vector<double> t;
+  for (int r = 0; r < 7; ++r) { auto a = clk::now(); f(); t.push_back(std::chrono::duration<double, std::nano>(clk::now() - a).count()); }
+  std::sort(t.begin(), t.end()); return t[3];
+}
+static volatile int64_t sink;
+
+static inline int32_t exact_recip_u64(int32_t S, int* nb) {
+  const int hpo = CountLeadingZeros(static_cast<uint32_t>(S));
+  *nb = 12 - hpo;
+  const uint64_t den = (uint64_t)(uint32_t)S << hpo;
+  const uint64_t q = ((uint64_t{1} << 63) + den) / (2 * den);
+  return q > (uint64_t)INT32_MAX ? INT32_MAX : (int32_t)q;
+}
+
+static void run(int cal, float scale, int zp, float beta, int n, int R) {
+  std::vector<int8_t> in((size_t)n * R), out(in.size()), rs(in.size()), rx(in.size());
+  uint64_t s = 0x2545F4914F6CDD1Dull ^ (uint64_t)n;
+  for (auto& v : in) { s ^= s << 13; s ^= s >> 7; s ^= s << 17; v = (int8_t)(s >> 56); }
+  int dims_data[] = {2, R, n};
+  TfLiteIntArray* dims = tflite::testing::IntArrayFromInts(dims_data);
+  TfLiteTensor t[2] = {tflite::testing::CreateQuantizedTensor(in.data(), dims, scale, zp),
+                       tflite::testing::CreateQuantizedTensor(out.data(), dims, 1.0f / 256.0f, -128)};
+  int ia[] = {1, 0}, oa[] = {1, 1};
+  TfLiteSoftmaxParams params = {beta};
+  KernelRunner runner(tflite::Register_SOFTMAX(), t, 2, tflite::testing::IntArrayFromInts(ia),
+                      tflite::testing::IntArrayFromInts(oa), &params);
+  if (runner.InitAndPrepare() != kTfLiteOk) { std::printf("ERR prepare\n"); std::exit(2); }
+  const double t_kernel = median_ns([&] { runner.Invoke(); });
+  int32_t A[256], B[256]; bool adm[256]; int32_t mult; int shift, diff_min;
+  const double t_prep = median_ns([&] {
+    PreprocessSoftmaxScaling((double)beta, (double)scale, 5, &mult, &shift);
+    diff_min = -1.0 * CalculateInputRadius(5, shift);
+    for (int d = -255; d <= 0; ++d) {
+      adm[d + 255] = d >= diff_min;
+      if (!adm[d + 255]) { A[d + 255] = B[d + 255] = 0; continue; }
+      const int32_t r = MultiplyByQuantizedMultiplierGreaterThanOne(d, mult, shift);
+      const FixedPoint<int32_t, 0> e = exp_on_negative_values(FixedPoint<int32_t, 5>::FromRaw(r));
+      A[d + 255] = e.raw(); B[d + 255] = Rescale<12>(e).raw();
+    }
+  });
+  std::vector<int32_t> sums(R);
+  auto recipe = [&](bool exact, std::vector<int8_t>& y_all) {
+    for (int r = 0; r < R; ++r) {
+      const int8_t* x = &in[(size_t)r * n]; int8_t* y = &y_all[(size_t)r * n];
+      int mx = -128; for (int c = 0; c < n; ++c) mx = std::max(mx, (int)x[c]);
+      int64_t S = 0; for (int c = 0; c < n; ++c) S += B[x[c] - mx + 255];
+      sums[r] = (int32_t)S;  // n <= 511: S < 2^28, admitted
+      int nb; const int32_t sh = exact ? exact_recip_u64((int32_t)S, &nb) : GetReciprocal((int32_t)S, 12, &nb);
+      const int ex = nb + 23;
+      for (int c = 0; c < n; ++c) {
+        const int k = x[c] - mx + 255;
+        int32_t v = adm[k] ? RoundingDivideByPOT(SaturatingRoundingDoublingHighMul(sh, A[k]), ex) - 128 : -128;
+        y[c] = (int8_t)std::min(127, std::max(-128, (int)v));
+      }
+    }
+  };
+  const double t_src = median_ns([&] { recipe(false, rs); });
+  const double t_ex = median_ns([&] { recipe(true, rx); });
+  const double t_rs = median_ns([&] { int64_t a = 0; for (int r = 0; r < R; ++r) { int nb; a += GetReciprocal(sums[r], 12, &nb) + nb; } sink = a; });
+  const double t_rx = median_ns([&] { int64_t a = 0; for (int r = 0; r < R; ++r) { int nb; a += exact_recip_u64(sums[r], &nb) + nb; } sink = a; });
+  size_t ms = 0, mx = 0;
+  for (size_t i = 0; i < in.size(); ++i) { ms += out[i] != rs[i]; mx += out[i] != rx[i]; }
+  std::printf("cal=%d,n=%d,rows=%d,kernel_ns_per_row=%.1f,source_recipe_ns_per_row=%.1f,exact_recipe_ns_per_row=%.1f,"
+              "source_recip_ns_per_row=%.2f,exact_recip_ns_per_row=%.2f,weight_prep_ns=%.0f,source_mismatches=%zu,exact_mismatches=%zu\n",
+              cal, n, R, t_kernel / R, t_src / R, t_ex / R, t_rs / R, t_rx / R, t_prep, ms, mx);
+}
+
+int main() {
+  for (int n : {8, 64, 256, 511}) {
+    const int R = (1 << 22) / n;
+    run(9, 0.5f, -25, 2.0f, n, R);
+    run(10, 1.0f / 256.0f, 20, 1.0f, n, R);
+  }
+  return 0;
+}
diff --git a/.claude/probes/source-behavior-v1/perf65.txt b/.claude/probes/source-behavior-v1/perf65.txt
new file mode 100644
index 000000000..91a8f48bb
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/perf65.txt
@@ -0,0 +1,8 @@
+cal=9,n=8,rows=524288,kernel_ns_per_row=155.5,source_recipe_ns_per_row=70.6,exact_recipe_ns_per_row=50.1,source_recip_ns_per_row=31.08,exact_recip_ns_per_row=3.52,weight_prep_ns=714,source_mismatches=0,exact_mismatches=0
+cal=10,n=8,rows=524288,kernel_ns_per_row=558.6,source_recipe_ns_per_row=68.4,exact_recipe_ns_per_row=46.8,source_recip_ns_per_row=28.58,exact_recip_ns_per_row=3.55,weight_prep_ns=6756,source_mismatches=0,exact_mismatches=1
+cal=9,n=64,rows=65536,kernel_ns_per_row=488.1,source_recipe_ns_per_row=291.8,exact_recipe_ns_per_row=274.4,source_recip_ns_per_row=31.02,exact_recip_ns_per_row=3.45,weight_prep_ns=701,source_mismatches=0,exact_mismatches=0
+cal=10,n=64,rows=65536,kernel_ns_per_row=4068.3,source_recipe_ns_per_row=307.7,exact_recipe_ns_per_row=289.3,source_recip_ns_per_row=28.09,exact_recip_ns_per_row=3.46,weight_prep_ns=6731,source_mismatches=0,exact_mismatches=0
+cal=9,n=256,rows=16384,kernel_ns_per_row=1589.8,source_recipe_ns_per_row=997.0,exact_recipe_ns_per_row=982.4,source_recip_ns_per_row=29.86,exact_recip_ns_per_row=3.45,weight_prep_ns=729,source_mismatches=0,exact_mismatches=0
+cal=10,n=256,rows=16384,kernel_ns_per_row=15886.8,source_recipe_ns_per_row=2015.8,exact_recipe_ns_per_row=1208.7,source_recip_ns_per_row=29.82,exact_recip_ns_per_row=3.67,weight_prep_ns=6388,source_mismatches=0,exact_mismatches=0
+cal=9,n=511,rows=8208,kernel_ns_per_row=3254.4,source_recipe_ns_per_row=2080.9,exact_recipe_ns_per_row=1995.6,source_recip_ns_per_row=29.61,exact_recip_ns_per_row=3.45,weight_prep_ns=748,source_mismatches=0,exact_mismatches=0
+cal=10,n=511,rows=8208,kernel_ns_per_row=37109.6,source_recipe_ns_per_row=7808.9,exact_recipe_ns_per_row=6392.8,source_recip_ns_per_row=27.99,exact_recip_ns_per_row=3.58,weight_prep_ns=9345,source_mismatches=0,exact_mismatches=0
diff --git a/.claude/probes/source-behavior-v1/perf65_runs23.txt b/.claude/probes/source-behavior-v1/perf65_runs23.txt
new file mode 100644
index 000000000..a8836f7b1
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/perf65_runs23.txt
@@ -0,0 +1,18 @@
+# run 2
+cal=9,n=8,rows=524288,kernel_ns_per_row=153.6,source_recipe_ns_per_row=73.4,exact_recipe_ns_per_row=56.2,source_recip_ns_per_row=31.46,exact_recip_ns_per_row=3.92,weight_prep_ns=714,source_mismatches=0,exact_mismatches=0
+cal=10,n=8,rows=524288,kernel_ns_per_row=562.8,source_recipe_ns_per_row=84.3,exact_recipe_ns_per_row=47.6,source_recip_ns_per_row=28.41,exact_recip_ns_per_row=3.54,weight_prep_ns=6330,source_mismatches=0,exact_mismatches=1
+cal=9,n=64,rows=65536,kernel_ns_per_row=495.0,source_recipe_ns_per_row=293.7,exact_recipe_ns_per_row=272.7,source_recip_ns_per_row=30.83,exact_recip_ns_per_row=3.45,weight_prep_ns=736,source_mismatches=0,exact_mismatches=0
+cal=10,n=64,rows=65536,kernel_ns_per_row=4288.6,source_recipe_ns_per_row=332.5,exact_recipe_ns_per_row=310.8,source_recip_ns_per_row=28.19,exact_recip_ns_per_row=3.45,weight_prep_ns=9503,source_mismatches=0,exact_mismatches=0
+cal=9,n=256,rows=16384,kernel_ns_per_row=1826.6,source_recipe_ns_per_row=1274.6,exact_recipe_ns_per_row=1029.3,source_recip_ns_per_row=32.53,exact_recip_ns_per_row=3.66,weight_prep_ns=699,source_mismatches=0,exact_mismatches=0
+cal=10,n=256,rows=16384,kernel_ns_per_row=17184.3,source_recipe_ns_per_row=1756.3,exact_recipe_ns_per_row=1226.2,source_recip_ns_per_row=28.74,exact_recip_ns_per_row=3.45,weight_prep_ns=8658,source_mismatches=0,exact_mismatches=0
+cal=9,n=511,rows=8208,kernel_ns_per_row=3297.7,source_recipe_ns_per_row=2708.2,exact_recipe_ns_per_row=1920.1,source_recip_ns_per_row=29.37,exact_recip_ns_per_row=3.51,weight_prep_ns=1038,source_mismatches=0,exact_mismatches=0
+cal=10,n=511,rows=8208,kernel_ns_per_row=33331.6,source_recipe_ns_per_row=6769.1,exact_recipe_ns_per_row=6902.2,source_recip_ns_per_row=28.00,exact_recip_ns_per_row=3.45,weight_prep_ns=8100,source_mismatches=0,exact_mismatches=0
+# run 3
+cal=9,n=8,rows=524288,kernel_ns_per_row=151.8,source_recipe_ns_per_row=72.4,exact_recipe_ns_per_row=50.3,source_recip_ns_per_row=31.11,exact_recip_ns_per_row=3.57,weight_prep_ns=742,source_mismatches=0,exact_mismatches=0
+cal=10,n=8,rows=524288,kernel_ns_per_row=553.8,source_recipe_ns_per_row=74.7,exact_recipe_ns_per_row=47.6,source_recip_ns_per_row=28.69,exact_recip_ns_per_row=3.55,weight_prep_ns=6755,source_mismatches=0,exact_mismatches=1
+cal=9,n=64,rows=65536,kernel_ns_per_row=497.3,source_recipe_ns_per_row=292.7,exact_recipe_ns_per_row=277.7,source_recip_ns_per_row=31.73,exact_recip_ns_per_row=3.52,weight_prep_ns=725,source_mismatches=0,exact_mismatches=0
+cal=10,n=64,rows=65536,kernel_ns_per_row=4374.2,source_recipe_ns_per_row=310.2,exact_recipe_ns_per_row=285.7,source_recip_ns_per_row=28.24,exact_recip_ns_per_row=3.45,weight_prep_ns=6438,source_mismatches=0,exact_mismatches=0
+cal=9,n=256,rows=16384,kernel_ns_per_row=1654.6,source_recipe_ns_per_row=1006.4,exact_recipe_ns_per_row=996.2,source_recip_ns_per_row=31.76,exact_recip_ns_per_row=3.45,weight_prep_ns=713,source_mismatches=0,exact_mismatches=0
+cal=10,n=256,rows=16384,kernel_ns_per_row=16124.0,source_recipe_ns_per_row=1203.1,exact_recipe_ns_per_row=1193.0,source_recip_ns_per_row=28.43,exact_recip_ns_per_row=3.45,weight_prep_ns=6778,source_mismatches=0,exact_mismatches=0
+cal=9,n=511,rows=8208,kernel_ns_per_row=3103.9,source_recipe_ns_per_row=1916.4,exact_recipe_ns_per_row=2195.4,source_recip_ns_per_row=32.19,exact_recip_ns_per_row=3.54,weight_prep_ns=703,source_mismatches=0,exact_mismatches=0
+cal=10,n=511,rows=8208,kernel_ns_per_row=33507.2,source_recipe_ns_per_row=6471.3,exact_recipe_ns_per_row=6447.6,source_recip_ns_per_row=27.62,exact_recip_ns_per_row=3.45,weight_prep_ns=6355,source_mismatches=0,exact_mismatches=0
diff --git a/.claude/probes/source-behavior-v1/recipall63.cc b/.claude/probes/source-behavior-v1/recipall63.cc
new file mode 100644
index 000000000..1b7c7ca7c
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/recipall63.cc
@@ -0,0 +1,70 @@
+// Amendment 6.3 addendum: exhaustive SUPERSET check of the reciprocal stage of TFLM int8 SOFTMAX.
+//
+// For a fixed calibration, an admitted output byte depends only on the row sum S (Q12.19 raw) and the
+// element's prepared weight A[d] (reference/softmax.h:115-139). Every admitted row has
+//   B[0] <= S < 2^28   (the max element contributes B[0]; exponent <= 31 <=> num_bits_over_unit <= 8)
+// and every admitted element has a weight A[d] with d in [diff_min, 0]. This program checks EVERY S in
+// that interval against EVERY admitted weight: a set that contains all reachable (S, d) pairs. If no byte
+// changes when the source reciprocal is replaced by the correctly rounded one, the substitution is
+// output-equivalent on the whole admitted domain of that calibration. A pair found here is only a
+// CANDIDATE: it must still be shown reachable by a real int8 row.
+//
+// stdin: as recipwit63 ("C idx" + 256 "E ..." lines). stdout: "A idx s_lo s_hi s_recip_differs candidates"
+// and one "X idx S d src exact" line per candidate per calibration.
+#include <algorithm>
+#include <cstdint>
+#include <cstdio>
+#include <cstdlib>
+
+#include "tensorflow/lite/micro/kernels/internal/common.h"
+#include "tensorflow/lite/micro/kernels/internal/fixedpoint.h"
+
+using namespace tflite::micro;
+
+static inline int out_byte(int32_t sh, int32_t a, int ex) {
+  int32_t v = RoundingDivideByPOT(SaturatingRoundingDoublingHighMul(sh, a), ex) - 128;
+  return v < -128 ? -128 : (v > 127 ? 127 : v);
+}
+
+int main(int argc, char** argv) {
+  // negative control: `recipall63 DELTA` replaces the exact reciprocal by source + DELTA
+  const long long delta = argc > 1 ? std::atoll(argv[1]) : 0;
+  char tag[8]; int idx;
+  while (std::scanf("%7s %d", tag, &idx) == 2) {
+    int adm[256], dval[256]; int32_t A[256], B[256]; int na = 0; int32_t W[256];
+    for (int i = 0; i < 256; ++i) {
+      char e[4]; int d, ad, resc; long long ex_raw, acc;
+      if (std::scanf("%3s %d %d %d %lld %lld", e, &d, &ad, &resc, &ex_raw, &acc) != 6) return 2;
+      adm[d + 255] = ad; A[d + 255] = (int32_t)ex_raw; B[d + 255] = (int32_t)acc; dval[d + 255] = d;
+      if (ad) { W[na] = (int32_t)ex_raw; ++na; }
+    }
+    std::sort(W, W + na); na = (int)(std::unique(W, W + na) - W);   // distinct admitted weights
+    const int64_t lo = B[255], hi = (int64_t{1} << 28) - 1;
+    long long differs = 0, cand = 0;
+    for (int64_t S = lo; S <= hi; ++S) {
+      int nb; const int32_t sh = GetReciprocal((int32_t)S, 12, &nb);
+      const int ex = nb + 23;
+      if (ex < 0 || ex > 31) continue;
+      const int hpo = CountLeadingZeros(static_cast<uint32_t>(S));
+      const __int128 den = (__int128)S << hpo;
+      const __int128 q = ((((__int128)1) << 62) * 2 + den) / (2 * den);
+      int32_t shx = q > INT32_MAX ? INT32_MAX : (int32_t)q;
+      if (delta) { const long long p = (long long)sh + delta; shx = p > INT32_MAX ? INT32_MAX : (int32_t)p; }
+      if (shx == sh) continue;
+      ++differs;
+      for (int j = 0; j < na; ++j) {
+        const int bs = out_byte(sh, W[j], ex), bx = out_byte(shx, W[j], ex);
+        if (bs != bx) {
+          {  // every candidate is printed; reach63 decides reachability
+            int d = 0; for (int i = 0; i < 256; ++i) if (adm[i] && A[i] == W[j]) { d = dval[i]; break; }
+            std::printf("X %d %lld %d %d %d\n", idx, (long long)S, d, bs, bx);
+          }
+          ++cand;
+        }
+      }
+    }
+    std::printf("A %d %lld %lld %lld %lld\n", idx, (long long)lo, (long long)hi, differs, cand);
+    std::fflush(stdout);
+  }
+  return 0;
+}
diff --git a/.claude/probes/source-behavior-v1/recipall63.json b/.claude/probes/source-behavior-v1/recipall63.json
new file mode 100644
index 000000000..f14977667
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/recipall63.json
@@ -0,0 +1,4374 @@
+{
+ "arm": "correctly rounded reciprocal",
+ "domain": "every S in [B[0], 2^28) x every distinct admitted weight; a superset of all reachable (S, d)",
+ "calibrations": 14,
+ "s_values_checked": 3750756352,
+ "s_where_reciprocal_differs": 3281945604,
+ "candidate_pairs": 601,
+ "candidate_samples": [
+  {
+   "cal": 0,
+   "S": 1359499,
+   "d": -43,
+   "source_byte": -116,
+   "exact_byte": -117
+  },
+  {
+   "cal": 0,
+   "S": 3793058,
+   "d": -53,
+   "source_byte": -125,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 3808603,
+   "d": -14,
+   "source_byte": -111,
+   "exact_byte": -110
+  },
+  {
+   "cal": 0,
+   "S": 4047454,
+   "d": -23,
+   "source_byte": -118,
+   "exact_byte": -117
+  },
+  {
+   "cal": 0,
+   "S": 6650654,
+   "d": -26,
+   "source_byte": -122,
+   "exact_byte": -123
+  },
+  {
+   "cal": 0,
+   "S": 6857306,
+   "d": -6,
+   "source_byte": -114,
+   "exact_byte": -113
+  },
+  {
+   "cal": 0,
+   "S": 7967053,
+   "d": -3,
+   "source_byte": -113,
+   "exact_byte": -114
+  },
+  {
+   "cal": 0,
+   "S": 10854292,
+   "d": -10,
+   "source_byte": -121,
+   "exact_byte": -120
+  },
+  {
+   "cal": 0,
+   "S": 25359980,
+   "d": -15,
+   "source_byte": -126,
+   "exact_byte": -125
+  },
+  {
+   "cal": 0,
+   "S": 25636009,
+   "d": -25,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 26660221,
+   "d": -14,
+   "source_byte": -125,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 26950402,
+   "d": -24,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 32562876,
+   "d": -10,
+   "source_byte": -126,
+   "exact_byte": -125
+  },
+  {
+   "cal": 0,
+   "S": 40205274,
+   "d": -16,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 59979222,
+   "d": -8,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 76908027,
+   "d": -25,
+   "source_byte": -128,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 84996534,
+   "d": -23,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 0,
+   "S": 189163267,
+   "d": -7,
+   "source_byte": -128,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 242890447,
+   "d": -2,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 0,
+   "S": 255343701,
+   "d": -1,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 1,
+   "S": 3808603,
+   "d": -7,
+   "source_byte": -111,
+   "exact_byte": -110
+  },
+  {
+   "cal": 1,
+   "S": 6650654,
+   "d": -13,
+   "source_byte": -122,
+   "exact_byte": -123
+  },
+  {
+   "cal": 1,
+   "S": 6857306,
+   "d": -3,
+   "source_byte": -114,
+   "exact_byte": -113
+  },
+  {
+   "cal": 1,
+   "S": 10854292,
+   "d": -5,
+   "source_byte": -121,
+   "exact_byte": -120
+  },
+  {
+   "cal": 1,
+   "S": 26660221,
+   "d": -7,
+   "source_byte": -125,
+   "exact_byte": -126
+  },
+  {
+   "cal": 1,
+   "S": 26950402,
+   "d": -12,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 1,
+   "S": 32562876,
+   "d": -5,
+   "source_byte": -126,
+   "exact_byte": -125
+  },
+  {
+   "cal": 1,
+   "S": 40205274,
+   "d": -8,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 1,
+   "S": 59979222,
+   "d": -4,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 1,
+   "S": 242890447,
+   "d": -1,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 2,
+   "S": 3808603,
+   "d": -7,
+   "source_byte": -111,
+   "exact_byte": -110
+  },
+  {
+   "cal": 2,
+   "S": 6650654,
+   "d": -13,
+   "source_byte": -122,
+   "exact_byte": -123
+  },
+  {
+   "cal": 2,
+   "S": 6857306,
+   "d": -3,
+   "source_byte": -114,
+   "exact_byte": -113
+  },
+  {
+   "cal": 2,
+   "S": 10854292,
+   "d": -5,
+   "source_byte": -121,
+   "exact_byte": -120
+  },
+  {
+   "cal": 2,
+   "S": 26660221,
+   "d": -7,
+   "source_byte": -125,
+   "exact_byte": -126
+  },
+  {
+   "cal": 2,
+   "S": 26950402,
+   "d": -12,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 2,
+   "S": 32562876,
+   "d": -5,
+   "source_byte": -126,
+   "exact_byte": -125
+  },
+  {
+   "cal": 2,
+   "S": 40205274,
+   "d": -8,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 2,
+   "S": 59979222,
+   "d": -4,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 2,
+   "S": 242890447,
+   "d": -1,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 3,
+   "S": 26950402,
+   "d": -6,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 3,
+   "S": 40205274,
+   "d": -4,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 3,
+   "S": 59979222,
+   "d": -2,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 4,
+   "S": 535790,
+   "d": -23,
+   "source_byte": -68,
+   "exact_byte": -69
+  },
+  {
+   "cal": 4,
+   "S": 606258,
+   "d": -10,
+   "source_byte": -9,
+   "exact_byte": -10
+  },
+  {
+   "cal": 4,
+   "S": 1692428,
+   "d": -1,
+   "source_byte": -54,
+   "exact_byte": -53
+  },
+  {
+   "cal": 4,
+   "S": 1821686,
+   "d": -23,
+   "source_byte": -110,
+   "exact_byte": -111
+  },
+  {
+   "cal": 4,
+   "S": 1983412,
+   "d": -15,
+   "source_byte": -102,
+   "exact_byte": -101
+  },
+  {
+   "cal": 4,
+   "S": 3750530,
+   "d": -23,
+   "source_byte": -119,
+   "exact_byte": -120
+  },
+  {
+   "cal": 4,
+   "S": 3819659,
+   "d": -27,
+   "source_byte": -121,
+   "exact_byte": -122
+  },
+  {
+   "cal": 4,
+   "S": 5321598,
+   "d": -10,
+   "source_byte": -114,
+   "exact_byte": -115
+  },
+  {
+   "cal": 4,
+   "S": 10854292,
+   "d": -8,
+   "source_byte": -121,
+   "exact_byte": -120
+  },
+  {
+   "cal": 4,
+   "S": 24968387,
+   "d": -38,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 4,
+   "S": 26995565,
+   "d": -11,
+   "source_byte": -126,
+   "exact_byte": -125
+  },
+  {
+   "cal": 4,
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+  },
+  {
+   "cal": 13,
+   "S": 3684235,
+   "d": -16,
+   "source_byte": -104,
+   "exact_byte": -105
+  },
+  {
+   "cal": 13,
+   "S": 3836614,
+   "d": -13,
+   "source_byte": -103,
+   "exact_byte": -104
+  },
+  {
+   "cal": 13,
+   "S": 3989481,
+   "d": -60,
+   "source_byte": -122,
+   "exact_byte": -121
+  },
+  {
+   "cal": 13,
+   "S": 5332928,
+   "d": -72,
+   "source_byte": -124,
+   "exact_byte": -125
+  },
+  {
+   "cal": 13,
+   "S": 7118768,
+   "d": -15,
+   "source_byte": -115,
+   "exact_byte": -116
+  },
+  {
+   "cal": 13,
+   "S": 9366800,
+   "d": -15,
+   "source_byte": -118,
+   "exact_byte": -119
+  },
+  {
+   "cal": 13,
+   "S": 9481100,
+   "d": -51,
+   "source_byte": -124,
+   "exact_byte": -125
+  },
+  {
+   "cal": 13,
+   "S": 14410723,
+   "d": -48,
+   "source_byte": -125,
+   "exact_byte": -126
+  },
+  {
+   "cal": 13,
+   "S": 15533679,
+   "d": -104,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 17242649,
+   "d": -20,
+   "source_byte": -123,
+   "exact_byte": -124
+  },
+  {
+   "cal": 13,
+   "S": 17324130,
+   "d": -29,
+   "source_byte": -125,
+   "exact_byte": -124
+  },
+  {
+   "cal": 13,
+   "S": 23429842,
+   "d": -89,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 25437145,
+   "d": -86,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 26856298,
+   "d": -13,
+   "source_byte": -124,
+   "exact_byte": -125
+  },
+  {
+   "cal": 13,
+   "S": 27616417,
+   "d": -83,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 34631809,
+   "d": -16,
+   "source_byte": -125,
+   "exact_byte": -126
+  },
+  {
+   "cal": 13,
+   "S": 40422970,
+   "d": -29,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 13,
+   "S": 46479451,
+   "d": -64,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 51727947,
+   "d": -20,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 13,
+   "S": 51863253,
+   "d": -60,
+   "source_byte": -128,
+   "exact_byte": -127
+  },
+  {
+   "cal": 13,
+   "S": 59478228,
+   "d": -55,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 64573913,
+   "d": -52,
+   "source_byte": -128,
+   "exact_byte": -127
+  },
+  {
+   "cal": 13,
+   "S": 78226670,
+   "d": -45,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 124637609,
+   "d": -28,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 155183841,
+   "d": -20,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 173159045,
+   "d": -16,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 177969200,
+   "d": -15,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 215596923,
+   "d": -8,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 240569856,
+   "d": -4,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 13,
+   "S": 261180158,
+   "d": -1,
+   "source_byte": -127,
+   "exact_byte": -128
+  }
+ ],
+ "per_calibration": {
+  "0": {
+   "cal": [
+    0.05,
+    99,
+    1.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 20
+  },
+  "1": {
+   "cal": [
+    0.05,
+    99,
+    2.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 10
+  },
+  "2": {
+   "cal": [
+    0.1,
+    22,
+    1.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 10
+  },
+  "3": {
+   "cal": [
+    0.1,
+    1,
+    2.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 3
+  },
+  "4": {
+   "cal": [
+    0.0625,
+    119,
+    1.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 17
+  },
+  "5": {
+   "cal": [
+    0.0625,
+    -84,
+    2.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 8
+  },
+  "6": {
+   "cal": [
+    0.0234375,
+    69,
+    1.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 43
+  },
+  "7": {
+   "cal": [
+    0.0234375,
+    -88,
+    2.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 17
+  },
+  "8": {
+   "cal": [
+    0.5,
+    -90,
+    1.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 2
+  },
+  "9": {
+   "cal": [
+    0.5,
+    -25,
+    2.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 0
+  },
+  "10": {
+   "cal": [
+    0.00390625,
+    20,
+    1.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 200
+  },
+  "11": {
+   "cal": [
+    0.00390625,
+    -91,
+    2.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 141
+  },
+  "12": {
+   "cal": [
+    0.0137,
+    29,
+    1.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 90
+  },
+  "13": {
+   "cal": [
+    0.0137,
+    -98,
+    2.0
+   ],
+   "s_lo": 524288,
+   "s_hi": 268435455,
+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 40
+  }
+ },
+ "wall_s": 1378.8
+}
\ No newline at end of file
diff --git a/.claude/probes/source-behavior-v1/recipall63.py b/.claude/probes/source-behavior-v1/recipall63.py
new file mode 100644
index 000000000..c83e4b63f
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/recipall63.py
@@ -0,0 +1,45 @@
+# /// script
+# requires-python = ">=3.10"
+# dependencies = ["numpy", "mpmath"]
+# ///
+"""Amendment 6.3 addendum: driver for recipall63.cc (exhaustive superset check of the reciprocal stage).
+
+Usage: recipall63.py RECIPALL TRACE63 OUT.json [JOBS]
+Prepared weights per calibration come from TFLM's own primitives (trace63 `softexp`), for the 14
+softmax63.py calibrations (regenerated with its seed).
+"""
+import json, subprocess, sys, time, concurrent.futures as cf
+from pathlib import Path
+HERE = Path(__file__).resolve().parent
+RA, TRACE, RESULT_PATH, *rest = sys.argv[1:]
+JOBS = int(rest[0]) if rest else 4
+DELTA = rest[1] if len(rest) > 1 else None   # negative control: perturbed reciprocal
+ONLY = int(rest[2]) if len(rest) > 2 else None   # restrict to one calibration index
+src = (HERE / "softmax63.py").read_text()
+g = {"__name__": "softmax63_corpus"}; argv = sys.argv; sys.argv = ["x", "x", "x", "/dev/null"]
+exec(src[: src.index("# --- prepared per-calibration weights")], g); sys.argv = argv
+CAL, f32bits = g["CAL"], g["f32bits"]
+tables = []
+for i, (s, z, b) in enumerate(CAL):
+    out = subprocess.run([TRACE], input=f"softexp {f32bits(s)} {f32bits(b)}\n", capture_output=True, text=True, check=True).stdout.splitlines()
+    tables.append((i, out[1:]))
+def job(item):
+    i, lines = item
+    r = subprocess.run([RA] + ([DELTA] if DELTA else []), input=f"C {i}\n" + "\n".join(lines) + "\n", capture_output=True, text=True)
+    assert r.returncode == 0, r.stderr
+    return r.stdout.splitlines()
+t0 = time.perf_counter()
+sel = [t for t in tables if ONLY is None or t[0] == ONLY]
+lines = [l for part in cf.ThreadPoolExecutor(JOBS).map(job, sel) for l in part]
+per, cand = {}, []
+for l in lines:
+    t = l.split()
+    if t[0] == "A": per[int(t[1])] = dict(cal=CAL[int(t[1])], s_lo=int(t[2]), s_hi=int(t[3]), s_where_reciprocal_differs=int(t[4]), candidate_pairs=int(t[5]))
+    elif t[0] == "X": cand.append(dict(cal=int(t[1]), S=int(t[2]), d=int(t[3]), source_byte=int(t[4]), exact_byte=int(t[5])))
+res = dict(arm="perturbed reciprocal +" + DELTA if DELTA else "correctly rounded reciprocal", domain="every S in [B[0], 2^28) x every distinct admitted weight; a superset of all reachable (S, d)",
+           calibrations=len(per), s_values_checked=sum(v["s_hi"] - v["s_lo"] + 1 for v in per.values()),
+           s_where_reciprocal_differs=sum(v["s_where_reciprocal_differs"] for v in per.values()),
+           candidate_pairs=sum(v["candidate_pairs"] for v in per.values()),
+           candidate_samples=cand, per_calibration=per, wall_s=round(time.perf_counter() - t0, 1))
+json.dump(res, open(RESULT_PATH, "w"), indent=1)
+print(json.dumps({k: v for k, v in res.items() if k != "per_calibration"}, indent=1))
diff --git a/.claude/probes/source-behavior-v1/recipall65_heldout.json b/.claude/probes/source-behavior-v1/recipall65_heldout.json
new file mode 100644
index 000000000..c4ab51f9c
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/recipall65_heldout.json
@@ -0,0 +1,3737 @@
+{
+ "arm": "correctly rounded reciprocal",
+ "calibrations": [
+  [
+   0.03,
+   10,
+   1.0
+  ],
+  [
+   0.2,
+   -50,
+   1.0
+  ],
+  [
+   0.0078125,
+   0,
+   1.0
+  ],
+  [
+   0.125,
+   3,
+   2.0
+  ],
+  [
+   0.07,
+   -100,
+   0.5
+  ],
+  [
+   0.25,
+   60,
+   1.5
+  ],
+  [
+   0.0019,
+   5,
+   1.0
+  ],
+  [
+   0.04,
+   0,
+   3.0
+  ]
+ ],
+ "candidate_pairs": 514,
+ "candidate_samples": [
+  {
+   "cal": 0,
+   "S": 548040,
+   "d": -19,
+   "source_byte": 11,
+   "exact_byte": 10
+  },
+  {
+   "cal": 0,
+   "S": 858902,
+   "d": -39,
+   "source_byte": -80,
+   "exact_byte": -79
+  },
+  {
+   "cal": 0,
+   "S": 859064,
+   "d": -90,
+   "source_byte": -117,
+   "exact_byte": -118
+  },
+  {
+   "cal": 0,
+   "S": 935403,
+   "d": -5,
+   "source_byte": -4,
+   "exact_byte": -5
+  },
+  {
+   "cal": 0,
+   "S": 1091263,
+   "d": -20,
+   "source_byte": -61,
+   "exact_byte": -60
+  },
+  {
+   "cal": 0,
+   "S": 1189014,
+   "d": -7,
+   "source_byte": -36,
+   "exact_byte": -37
+  },
+  {
+   "cal": 0,
+   "S": 1388413,
+   "d": -29,
+   "source_byte": -88,
+   "exact_byte": -87
+  },
+  {
+   "cal": 0,
+   "S": 1422154,
+   "d": -7,
+   "source_byte": -51,
+   "exact_byte": -52
+  },
+  {
+   "cal": 0,
+   "S": 1792929,
+   "d": -2,
+   "source_byte": -58,
+   "exact_byte": -57
+  },
+  {
+   "cal": 0,
+   "S": 1844598,
+   "d": -3,
+   "source_byte": -61,
+   "exact_byte": -62
+  },
+  {
+   "cal": 0,
+   "S": 2375665,
+   "d": -24,
+   "source_byte": -101,
+   "exact_byte": -100
+  },
+  {
+   "cal": 0,
+   "S": 3504327,
+   "d": -108,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 3567042,
+   "d": -7,
+   "source_byte": -98,
+   "exact_byte": -97
+  },
+  {
+   "cal": 0,
+   "S": 3919437,
+   "d": -14,
+   "source_byte": -106,
+   "exact_byte": -105
+  },
+  {
+   "cal": 0,
+   "S": 3993071,
+   "d": -50,
+   "source_byte": -121,
+   "exact_byte": -120
+  },
+  {
+   "cal": 0,
+   "S": 4266462,
+   "d": -7,
+   "source_byte": -102,
+   "exact_byte": -103
+  },
+  {
+   "cal": 0,
+   "S": 6081885,
+   "d": -14,
+   "source_byte": -114,
+   "exact_byte": -113
+  },
+  {
+   "cal": 0,
+   "S": 6630582,
+   "d": -3,
+   "source_byte": -109,
+   "exact_byte": -110
+  },
+  {
+   "cal": 0,
+   "S": 6857306,
+   "d": -10,
+   "source_byte": -114,
+   "exact_byte": -113
+  },
+  {
+   "cal": 0,
+   "S": 8650881,
+   "d": -29,
+   "source_byte": -122,
+   "exact_byte": -121
+  },
+  {
+   "cal": 0,
+   "S": 9821367,
+   "d": -20,
+   "source_byte": -121,
+   "exact_byte": -120
+  },
+  {
+   "cal": 0,
+   "S": 12799386,
+   "d": -7,
+   "source_byte": -120,
+   "exact_byte": -119
+  },
+  {
+   "cal": 0,
+   "S": 14249197,
+   "d": -33,
+   "source_byte": -125,
+   "exact_byte": -124
+  },
+  {
+   "cal": 0,
+   "S": 18802658,
+   "d": -52,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 19597185,
+   "d": -14,
+   "source_byte": -124,
+   "exact_byte": -123
+  },
+  {
+   "cal": 0,
+   "S": 26132315,
+   "d": -24,
+   "source_byte": -126,
+   "exact_byte": -125
+  },
+  {
+   "cal": 0,
+   "S": 28089221,
+   "d": -2,
+   "source_byte": -124,
+   "exact_byte": -123
+  },
+  {
+   "cal": 0,
+   "S": 29464101,
+   "d": -20,
+   "source_byte": -126,
+   "exact_byte": -125
+  },
+  {
+   "cal": 0,
+   "S": 30361416,
+   "d": -19,
+   "source_byte": -125,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 32871649,
+   "d": -70,
+   "source_byte": -128,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 47616179,
+   "d": -4,
+   "source_byte": -125,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 49106835,
+   "d": -20,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 64328207,
+   "d": -11,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 65536716,
+   "d": -47,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 0,
+   "S": 79360298,
+   "d": -4,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 84267663,
+   "d": -2,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 0,
+   "S": 93935699,
+   "d": -35,
+   "source_byte": -128,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 123052421,
+   "d": -26,
+   "source_byte": -128,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 126799969,
+   "d": -25,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 0,
+   "S": 156430289,
+   "d": -18,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 0,
+   "S": 204918104,
+   "d": -9,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 0,
+   "S": 211158849,
+   "d": -8,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 0,
+   "S": 224216143,
+   "d": -6,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 0,
+   "S": 231044540,
+   "d": -5,
+   "source_byte": -128,
+   "exact_byte": -127
+  },
+  {
+   "cal": 0,
+   "S": 245331534,
+   "d": -3,
+   "source_byte": -127,
+   "exact_byte": -128
+  },
+  {
+   "cal": 1,
+   "S": 26950402,
+   "d": -6,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 1,
+   "S": 40205274,
+   "d": -4,
+   "source_byte": -126,
+   "exact_byte": -127
+  },
+  {
+   "cal": 1,
+   "S": 59979222,
+   "d": -2,
+   "source_byte": -127,
+   "exact_byte": -126
+  },
+  {
+   "cal": 2,
+   "S": 535790,
+   "d": -184,
+   "source_byte": -68,
+   "exact_byte": -69
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+ ],
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+   "s_where_reciprocal_differs": 234424686,
+   "candidate_pairs": 11
+  }
+ },
+ "wall_s": 647.7
+}
\ No newline at end of file
diff --git a/.claude/probes/source-behavior-v1/softcert65.cc b/.claude/probes/source-behavior-v1/softcert65.cc
new file mode 100644
index 000000000..b71150c00
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/softcert65.cc
@@ -0,0 +1,264 @@
+// D-TFLP Amendment 6.5 P1: prepared-softmax reciprocal admission gate (lab).
+//
+// Two stages, kept apart because they depend on different inputs.
+//
+//   global   Source-global certificate for the pinned TFLM int8 SOFTMAX reciprocal. It depends ONLY on
+//            the source reciprocal algorithm (GetReciprocal, common.h:968-982, with
+//            one_over_one_plus_x_for_x_in_0_1), x_integer_digits = 12, int32 arithmetic and the supported
+//            sum domain [2^19, 2^28) (6.4 follow-up N11). It does not depend on any calibration: the
+//            reciprocal is a function of the row sum S alone. Contents: the domain, the correctly rounded
+//            reference round(2^62 / (S << clz(S))), its monotonicity inside each exponent band (checked on
+//            every S), the exponent of every S (= 35 - clz(S), checked), and E_h = max |source - exact| per
+//            band h = clz(S) in 4..12 (measured on every S). The source revision and a digest of the source
+//            text are supplied by the driver and copied into the certificate; the gate refuses a mismatch.
+//
+//   gate     Per-calibration decision from a certificate and one calibration's prepared source weights
+//            (trace63 `softexp`: A[d] = exp_on_negative_values, B[d] = Rescale<12>, admitted flag).
+//            1. Boundary-pruned search (as recipprune64, window E_h): every (S, w) in the supported domain
+//               whose output byte differs between the source reciprocal and the exact one.
+//            2. Exact reachability (as reach64): a candidate is a reachable pair iff an admitted row with the
+//               mandatory maximum, an element at its difference and sum exactly S exists. Witness rows are
+//               built and re-checked (positive counts, admitted codes, recomputed sum = S).
+//            Decision:
+//              PROVED_OUTPUT_EQUIVALENT    no reachable differing pair: the exact reciprocal gives the source
+//                                          bytes on every supported row of this calibration;
+//              REQUIRES_SOURCE_RECIPROCAL  at least one reachable witness row;
+//              REFUSE_UNKNOWN              a certificate, identity, domain or table assumption fails.
+//
+// Mutations (negative controls; argv after the gate arguments): e_minus1, e_minus2, one_sided_window,
+// exclude_lower_endpoint, wrong_band, wrong_weight_threshold, no_mandatory_max, no_reachability,
+// allow_negative_multiplicity, witness_sum_off_by_max, skip_table_identity. A mutated run prints "MUTATION name".
+//
+// Table identity (landing hardening): the gate does not trust that the supplied table belongs to the claimed
+// calibration. It recomputes the prepared table from the claimed (scale, beta) with the pinned TFLM
+// primitives (PreprocessSoftmaxScaling, CalculateInputRadius, MultiplyByQuantizedMultiplierGreaterThanOne,
+// exp_on_negative_values, Rescale<12>; trace63 `softexp`, softmax_common.cc:128-130, softmax.h:104-110) and
+// refuses `table_identity_mismatch` on any differing field. Two outputs are kept apart:
+//   "N numeric_key mult shift"            the prepared table is a function of (mult, shift) alone; equal keys
+//                                         mean identical weights (a cache key, NOT semantic identity);
+//   "U receipt scale_bits zp beta_bits"   the semantic identity the decision is issued for. The input zero
+//                                         point never enters the table; it is carried, not checked.
+//
+// usage:  softcert65 global REVISION DIGEST > cert.txt
+//         softcert65 gate CERT EXPECTED_REVISION EXPECTED_DIGEST [MUTATION] < calibration
+// calibration stdin: "K scale_bits zp beta_bits", then trace63 `softexp` output ("P ..." + 256 "E d adm A B").
+// gate stdout: "T stage seconds", one "C S d w sh_src sh_exact byte_src byte_exact status len" per candidate
+// (followed by "M e count" lines for a reachable one), and "D decision reason candidates reachable unreachable".
+#include <algorithm>
+#include <chrono>
+#include <cstdint>
+#include <cstdio>
+#include <cstdlib>
+#include <cstring>
+#include <map>
+#include <queue>
+#include <set>
+#include <string>
+#include <utility>
+#include <vector>
+
+#include "tensorflow/lite/micro/kernels/internal/common.h"
+#include "tensorflow/lite/micro/kernels/internal/fixedpoint.h"
+#include "tensorflow/lite/micro/kernels/internal/quantization_util.h"
+
+using namespace tflite::micro;
+
+static const int64_t DOMAIN_LO = int64_t{1} << 19, DOMAIN_HI = (int64_t{1} << 28) - 1;
+static const int H_LO = 4, H_HI = 12;
+
+static inline int out_byte(int32_t sh, int32_t a, int ex) {  // softmax.h:131-142, verbatim recipall63
+  int32_t v = RoundingDivideByPOT(SaturatingRoundingDoublingHighMul(sh, a), ex) - 128;
+  return v < -128 ? -128 : (v > 127 ? 127 : v);
+}
+static inline int32_t exact_recip(int64_t S) {
+  const int hpo = CountLeadingZeros(static_cast<uint32_t>(S));
+  const __int128 den = (__int128)S << hpo;
+  const __int128 q = ((((__int128)1) << 62) * 2 + den) / (2 * den);
+  return q > INT32_MAX ? INT32_MAX : (int32_t)q;
+}
+static inline int32_t src_recip(int64_t S, int* ex) {
+  int nb; const int32_t sh = GetReciprocal((int32_t)S, 12, &nb); *ex = nb + 23; return sh;
+}
+static double now() { return std::chrono::duration<double>(std::chrono::steady_clock::now().time_since_epoch()).count(); }
+[[noreturn]] static void refuse(const char* why) { std::printf("\nD REFUSE_UNKNOWN %s 0 0 0\n", why); std::exit(0); }  // own line, even mid-record
+
+static int global_mode(const char* rev, const char* digest) {
+  const double t0 = now();
+  long long E[33] = {0};
+  for (int h = H_LO; h <= H_HI; ++h) {
+    const int64_t a = std::max(DOMAIN_LO, int64_t{1} << (31 - h)), b = std::min(DOMAIN_HI, (int64_t{1} << (32 - h)) - 1);
+    int32_t prev = INT32_MAX;
+    for (int64_t S = a; S <= b; ++S) {
+      int ex; const int32_t s = src_recip(S, &ex); const int32_t x = exact_recip(S);
+      if (CountLeadingZeros(static_cast<uint32_t>(S)) != h || ex != 35 - h) { std::fprintf(stderr, "band/exponent at S=%lld\n", (long long)S); return 10; }
+      if (x > prev) { std::fprintf(stderr, "exact reciprocal not monotone at S=%lld\n", (long long)S); return 11; }
+      if (s <= 0 || x <= 0) { std::fprintf(stderr, "non-positive reciprocal at S=%lld\n", (long long)S); return 12; }
+      prev = x;
+      const long long dd = std::llabs((long long)s - x); if (dd > E[h]) E[h] = dd;
+    }
+  }
+  std::printf("SOFTCERT 1\nsource_revision %s\nsource_digest %s\nreciprocal GetReciprocal(x,12)\n", rev, digest);
+  std::printf("domain %lld %lld\nmonotone_exact 1\n", (long long)DOMAIN_LO, (long long)DOMAIN_HI);
+  for (int h = H_LO; h <= H_HI; ++h) std::printf("E %d %lld\n", h, E[h]);
+  std::printf("scan_seconds %.3f\n", now() - t0);
+  return 0;
+}
+
+int main(int argc, char** argv) {
+  if (argc >= 4 && !std::strcmp(argv[1], "global")) return global_mode(argv[2], argv[3]);
+  if (argc < 5 || std::strcmp(argv[1], "gate")) { std::fprintf(stderr, "usage\n"); return 2; }
+  const std::string mut = argc > 5 ? argv[5] : "";
+  if (!mut.empty()) std::printf("MUTATION %s\n", mut.c_str());
+  double t = now();
+  // ---- certificate ------------------------------------------------------------------------------
+  FILE* cf = std::fopen(argv[2], "r");
+  if (!cf) refuse("certificate_missing");
+  char key[64], v1[256]; long long E[33]; for (auto& e : E) e = -1;
+  std::string rev, dig; long long dlo = -1, dhi = -1; int mono = 0, magic = 0;
+  while (std::fscanf(cf, "%63s", key) == 1) {
+    if (!std::strcmp(key, "SOFTCERT")) { if (std::fscanf(cf, "%d", &magic) != 1) refuse("certificate_malformed"); }
+    else if (!std::strcmp(key, "source_revision")) { if (std::fscanf(cf, "%255s", v1) != 1) refuse("certificate_malformed"); rev = v1; }
+    else if (!std::strcmp(key, "source_digest")) { if (std::fscanf(cf, "%255s", v1) != 1) refuse("certificate_malformed"); dig = v1; }
+    else if (!std::strcmp(key, "domain")) { if (std::fscanf(cf, "%lld %lld", &dlo, &dhi) != 2) refuse("certificate_malformed"); }
+    else if (!std::strcmp(key, "monotone_exact")) { if (std::fscanf(cf, "%d", &mono) != 1) refuse("certificate_malformed"); }
+    else if (!std::strcmp(key, "E")) { int h; long long e; if (std::fscanf(cf, "%d %lld", &h, &e) != 2 || h < 0 || h > 32) refuse("certificate_malformed"); E[h] = e; }
+    else { if (std::fscanf(cf, "%*[^\n]") < 0) break; }
+  }
+  std::fclose(cf);
+  if (magic != 1) refuse("certificate_version");
+  if (rev != argv[3]) refuse("source_revision_mismatch");
+  if (dig != argv[4]) refuse("source_digest_mismatch");
+  if (dlo != DOMAIN_LO || dhi != DOMAIN_HI) refuse("certificate_domain_mismatch");
+  if (mono != 1) refuse("monotonicity_not_certified");
+  for (int h = H_LO; h <= H_HI; ++h) if (E[h] < 0 || E[h] > 1000) refuse("error_bound_missing_or_implausible");
+  if (mut == "e_minus1") for (int h = H_LO; h <= H_HI; ++h) E[h] -= 1;
+  if (mut == "e_minus2") for (int h = H_LO; h <= H_HI; ++h) E[h] -= 2;
+  std::printf("T certificate_load_and_check %.6f\n", now() - t); t = now();
+  // ---- calibration table ------------------------------------------------------------------------
+  char tag[8]; unsigned sbits, bbits; int zp;
+  if (std::scanf("%7s %x %d %x", tag, &sbits, &zp, &bbits) != 4 || std::strcmp(tag, "K")) refuse("calibration_identity_missing");
+  long long pm, psh, pdmin;
+  if (std::scanf("%7s %lld %lld %lld", tag, &pm, &psh, &pdmin) != 4 || std::strcmp(tag, "P")) refuse("calibration_table_malformed");
+  int adm[256]; int64_t A[256], B[256];
+  for (int i = 0; i < 256; ++i) {
+    int d, ad; long long resc, a, b;  // trace63: "E d admitted input_diff_rescaled A B"
+    if (std::scanf("%7s %d %d %lld %lld %lld", tag, &d, &ad, &resc, &a, &b) != 6 || std::strcmp(tag, "E") || d != i - 255) refuse("calibration_table_malformed");
+    adm[i] = ad; A[i] = a; B[i] = b;
+  }
+  // the supplied table must be the one the claimed calibration prepares
+  if (mut != "skip_table_identity") {
+    float scale, beta; std::memcpy(&scale, &sbits, 4); std::memcpy(&beta, &bbits, 4);
+    int32_t rm = 0; int rsh = 0;
+    PreprocessSoftmaxScaling(static_cast<double>(beta), static_cast<double>(scale), 5, &rm, &rsh);
+    const int rdmin = -1.0 * CalculateInputRadius(5, rsh);
+    if (rm != pm || rsh != psh || rdmin != pdmin) refuse("table_identity_mismatch");
+    for (int i = 0; i < 256; ++i) {
+      const int d = i - 255;
+      int ead = 0; int64_t ea = 0, eb = 0;
+      if (d >= rdmin) {
+        const int32_t r = MultiplyByQuantizedMultiplierGreaterThanOne(d, rm, rsh);
+        const FixedPoint<int32_t, 0> e = exp_on_negative_values(FixedPoint<int32_t, 5>::FromRaw(r));
+        ead = 1; ea = e.raw(); eb = Rescale<12>(e).raw();
+      }
+      if (ead != adm[i] || ea != A[i] || eb != B[i]) refuse("table_identity_mismatch");
+    }
+  }
+  std::printf("N numeric_key %lld %lld\nU receipt %08x %d %08x\n", pm, psh, sbits, zp, bbits);
+  // assumptions the certificate relies on
+  if (!adm[255]) refuse("row_maximum_not_admitted");
+  if (B[255] != DOMAIN_LO) refuse("maximum_weight_not_domain_lower_bound");  // S >= B[0] = 2^19
+  for (int i = 0; i < 256; ++i) if (adm[i] && (A[i] < 0 || A[i] > INT32_MAX || B[i] < 0 || B[i] > DOMAIN_LO)) refuse("prepared_weight_out_of_range");
+  std::printf("T table_parse_and_check %.6f\n", now() - t); t = now();
+  // ---- 1. boundary-pruned search ----------------------------------------------------------------
+  std::vector<int64_t> W; std::map<int64_t, int> dof;
+  for (int i = 0; i < 256; ++i) if (adm[i] && !dof.count(A[i])) { W.push_back(A[i]); dof[A[i]] = i - 255; }
+  std::sort(W.begin(), W.end());
+  struct Cand { int64_t S; int d; int64_t w; int32_t ss, sx; int bs, bx; };
+  std::vector<Cand> cand; std::set<std::pair<int64_t, int64_t>> seen;
+  long long evaluated = 0, intervals = 0;
+  for (int64_t w : W) {
+    if (w <= 0) continue;
+    const int64_t wt = mut == "wrong_weight_threshold" ? w + 1 : w;
+    for (int h = H_LO; h <= H_HI; ++h) {
+      const int ex = mut == "wrong_band" ? 34 - h : 35 - h;
+      const int64_t a = std::max(DOMAIN_LO, int64_t{1} << (31 - h)), b = std::min(DOMAIN_HI, (int64_t{1} << (32 - h)) - 1);
+      const long long win = E[h];
+      for (int m = 0; m <= 254; ++m) {
+        const __int128 beta = ex >= 1 ? ((__int128)m << ex) + ((__int128)1 << (ex - 1)) : (__int128)(m + 1);
+        const __int128 num = beta * ((__int128)1 << 31) - ((__int128)1 << 30);
+        const __int128 T = num <= 0 ? 0 : (num + wt - 1) / wt;  // ceil: the smallest sh with unsat >= m + 1
+        __int128 tlo = T - win, thi = T + win;
+        if (mut == "one_sided_window") tlo = T;
+        if (mut == "exclude_lower_endpoint") tlo = T - win + 1;
+        if (tlo > INT32_MAX) continue;  // no reciprocal reaches this threshold
+        int64_t L = a, R = b + 1;
+        while (L < R) { const int64_t mid = L + (R - L) / 2; if ((__int128)exact_recip(mid) <= thi) R = mid; else L = mid + 1; }
+        const int64_t s0 = L;
+        L = a; R = b + 1;
+        while (L < R) { const int64_t mid = L + (R - L) / 2; if ((__int128)exact_recip(mid) < tlo) R = mid; else L = mid + 1; }
+        const int64_t s1 = L - 1;
+        if (s0 > s1) continue;
+        ++intervals;
+        for (int64_t S = s0; S <= s1; ++S) {
+          if (!seen.insert({S, w}).second) continue;
+          ++evaluated;
+          int exs; const int32_t ss = src_recip(S, &exs);
+          if (exs != 35 - h) refuse("internal_band_exponent");
+          const int32_t sx = exact_recip(S);
+          if (ss == sx) continue;
+          const int bs = out_byte(ss, (int32_t)w, 35 - h), bx = out_byte(sx, (int32_t)w, 35 - h);
+          if (bs != bx) cand.push_back({S, dof[w], w, ss, sx, bs, bx});
+        }
+      }
+    }
+  }
+  std::printf("T pruned_search %.6f\n", now() - t); t = now();
+  std::printf("I weights %zu intervals %lld evaluated %lld candidates %zu\n", W.size(), intervals, evaluated, cand.size());
+  // ---- 2. exact reachability (residue rule mod B[0]) ----------------------------------------------
+  const int64_t M = B[255];
+  std::vector<int> coin_d; std::vector<int64_t> coin_v;
+  for (int i = 0; i < 256; ++i) if (adm[i] && B[i] > 0 && std::find(coin_v.begin(), coin_v.end(), B[i]) == coin_v.end()) { coin_d.push_back(i - 255); coin_v.push_back(B[i]); }
+  std::vector<int64_t> dist; std::vector<int> pc; std::vector<int64_t> pr;
+  if (!cand.empty() && mut != "no_reachability") {
+    const int64_t INF = INT64_MAX / 4;
+    dist.assign(M, INF); pc.assign(M, -1); pr.assign(M, -1);
+    using P = std::pair<int64_t, int64_t>;
+    std::priority_queue<P, std::vector<P>, std::greater<P>> pq;
+    dist[0] = 0; pq.push({0, 0});
+    while (!pq.empty()) {
+      auto [dv, r] = pq.top(); pq.pop();
+      if (dv != dist[r]) continue;
+      for (size_t c = 0; c < coin_v.size(); ++c) {
+        int64_t nv; if (__builtin_add_overflow(dv, coin_v[c], &nv)) refuse("internal_overflow");
+        const int64_t nr = nv % M;
+        if (nv < dist[nr]) { dist[nr] = nv; pc[nr] = (int)c; pr[nr] = r; pq.push({nv, nr}); }
+      }
+    }
+  }
+  std::printf("T reachability_graph %.6f\n", now() - t); t = now();
+  long long nreach = 0, nunreach = 0;
+  for (const Cand& c : cand) {
+    std::printf("C %lld %d %lld %d %d %d %d ", (long long)c.S, c.d, (long long)c.w, c.ss, c.sx, c.bs, c.bx);
+    if (mut == "no_reachability") { std::printf("reachable 0\n"); ++nreach; continue; }
+    const int64_t R = c.S - (mut == "no_mandatory_max" ? 0 : M) - (c.d != 0 ? B[c.d + 255] : 0);
+    if (R < 0) { std::printf("unreachable_negative 0\n"); ++nunreach; continue; }
+    const int64_t r = R % M;
+    if (dist[r] > R && mut != "allow_negative_multiplicity") { std::printf("unreachable_gap 0\n"); ++nunreach; continue; }
+    std::vector<int64_t> cnt(256, 0);
+    cnt[255] += (mut == "no_mandatory_max" ? 0 : 1) + (R - dist[r]) / M;
+    if (c.d != 0) cnt[c.d + 255] += 1;
+    for (int64_t x = r; x != 0; x = pr[x]) cnt[coin_d[pc[x]] + 255] += 1;
+    if (mut == "witness_sum_off_by_max") cnt[255] += 1;
+    // the row must exist as written
+    __int128 chk = 0; int64_t len = 0; bool neg = false;
+    for (int i = 0; i < 256; ++i) { if (cnt[i] < 0) neg = true; if (cnt[i] && !adm[i]) refuse("internal_unadmitted_code"); chk += (__int128)cnt[i] * B[i]; len += cnt[i]; }
+    if (neg) refuse("witness_negative_multiplicity");
+    if (chk != c.S) refuse("witness_sum_mismatch");
+    std::printf("reachable %lld\n", (long long)len); ++nreach;
+    for (int i = 0; i < 256; ++i) if (cnt[i]) std::printf("M %d %lld\n", i - 255, (long long)cnt[i]);
+  }
+  std::printf("T witness_construction %.6f\n", now() - t);
+  if (nreach > 0) std::printf("D REQUIRES_SOURCE_RECIPROCAL reachable_witness %zu %lld %lld\n", cand.size(), nreach, nunreach);
+  else std::printf("D PROVED_OUTPUT_EQUIVALENT no_reachable_difference %zu %lld %lld\n", cand.size(), nreach, nunreach);
+  return 0;
+}
diff --git a/.claude/probes/source-behavior-v1/softcert65.py b/.claude/probes/source-behavior-v1/softcert65.py
new file mode 100644
index 000000000..5ca8ebf8b
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/softcert65.py
@@ -0,0 +1,248 @@
+# /// script
+# requires-python = ">=3.10"
+# dependencies = ["numpy", "mpmath"]
+# ///
+"""D-TFLP Amendment 6.5 P1: run the softmax reciprocal admission gate and validate every decision independently.
+
+Usage: TFLM_DIR=<tflite-micro checkout> softcert65.py SOFTCERT TRACE63 ORACLE OUT.json [--mutations]
+
+Per calibration (the 14 of softmax63.py and the 8 held-out ones of heldout65.py):
+  1. prepare the source weights (trace63 `softexp`);
+  2. run `softcert65 gate` with the committed source-global certificate (softcert65_global.txt);
+  3. validate the decision WITHOUT the gate's code:
+     - table:      the weight table is recomputed from the claimed calibration identity; its digest must match;
+     - candidates: the gate's candidate set must equal the exhaustive superset reference
+                   (recipall63.json for the 14, recipall65_heldout.json for the held-out ones);
+     - witnesses:  every reachable claim needs a row with positive counts of admitted codes that contains
+                   the row maximum and whose recomputed sum is S; the independent Python recipe
+                   (softmax63.py) must give the claimed source byte and, with the exact reciprocal, the
+                   claimed alternative byte; the TFLM kernel must give the source byte;
+     - unreachable: a negative remainder is recomputed; a gap claim is re-checked by a plain unbounded-coin
+                   DP on Python integers when R <= 4,000,000 (otherwise UNVALIDATED);
+     - equivalence: for a PROVED_OUTPUT_EQUIVALENT decision, 300 random admitted rows must give identical
+                   bytes from the kernel, the source recipe and the exact-reciprocal recipe.
+With --mutations, every certifier mutation and three input mutations are run on the 14 known calibrations
+and each run is classified as typed refusal, detected by validation, or no observable effect.
+
+Table identity: the gate itself recomputes the prepared table from the claimed (scale, beta) and refuses
+`table_identity_mismatch`; the driver's own table check above stays as an independent second check. Two
+input controls separate the cases: `input:wrong_calibration` (calibration i+1's table under calibration i's
+identity: refused, except where the two tables are identical) and `input:same_table_other_identity`
+(calibration 1's table under calibration 2's identity, the one known pair with equal beta*scale: accepted,
+same numeric key, different semantic receipt). `input:wrong_calibration+skip_table_identity` disables the
+gate's check to show it is the gate, not only the driver, that rejects.
+"""
+import hashlib, json, random, subprocess, sys, time
+from fractions import Fraction
+from pathlib import Path
+HERE = Path(__file__).resolve().parent
+CERT_BIN, TRACE, ORACLE, OUT, *flags = sys.argv[1:]
+MUTATE = "--mutations" in flags
+import os
+if "TFLM_DIR" not in os.environ: sys.exit("set TFLM_DIR to a tflite-micro checkout at revision 5f64e4ad")
+TFLM = Path(os.environ["TFLM_DIR"]) / "tensorflow/lite/micro/kernels/internal"
+REV = "5f64e4ad"
+DIGEST = hashlib.sha256(b"".join((TFLM / f).read_bytes() for f in ("common.h", "fixedpoint.h", "reference/softmax.h"))).hexdigest()
+CERT = HERE / "softcert65_global.txt"
+
+src = (HERE / "softmax63.py").read_text()
+g = {"__name__": "softcert65_helpers"}; argv = sys.argv; sys.argv = ["x", "x", "x", "/dev/null"]
+exec(src[: src.index("# --- calibrations and rows")], g); sys.argv = argv
+_d = {"random": random}; exec(src[src.index("rng = random.Random(63)"): src.index("NS = [")], _d); CAL = _d["CAL"]
+import heldout65
+HELD = heldout65.HELDOUT
+f32bits = g["f32bits"]
+def rh_away(x): a = abs(x); r = (a + Fraction(1, 2)).__floor__(); return r if x >= 0 else -r
+g["rh_away"] = rh_away
+g["prep"] = prep = {}
+exec(src[src.index("# --- recipe ----"): src.index("# --- F24 exact-first")], g)
+recipe = g["recipe"]
+
+def table(cal):
+    s, z, b = cal
+    t0 = time.perf_counter()
+    out = subprocess.run([TRACE], input=f"softexp {f32bits(s)} {f32bits(b)}\n", capture_output=True, text=True, check=True).stdout
+    dt = time.perf_counter() - t0
+    lines = out.splitlines()
+    m, sh, dmin = map(int, lines[0].split()[1:])
+    E = {int(t[1]): (int(t[2]) == 1, int(t[4]), int(t[5])) for t in (l.split() for l in lines[1:])}
+    prep[(s, b)] = dict(mult=m, shift=sh, diff_min=dmin, E=E)
+    return out, dt
+
+def gate(cal, tab, mutation=None, rev=REV, dig=DIGEST):
+    s, z, b = cal
+    t0 = time.perf_counter()
+    r = subprocess.run([CERT_BIN, "gate", str(CERT), rev, dig] + ([mutation] if mutation else []),
+                       input=f"K {f32bits(s)} {z} {f32bits(b)}\n" + tab, capture_output=True, text=True)
+    wall = time.perf_counter() - t0
+    res = dict(rc=r.returncode, wall_s=wall, timings={}, cands=[], decision=None, reason=None)
+    cur = None
+    for l in r.stdout.splitlines():
+        t = l.split()
+        if not t: continue
+        if t[0] == "T": res["timings"][t[1]] = float(t[2])
+        elif t[0] == "I": res["info"] = dict(zip(t[1::2], map(int, t[2::2])))
+        elif t[0] == "C" and len(t) >= 9:
+            cur = dict(S=int(t[1]), d=int(t[2]), w=int(t[3]), sh_src=int(t[4]), sh_exact=int(t[5]), bs=int(t[6]), bx=int(t[7]), status=t[8], mult={})
+            res["cands"].append(cur)
+        elif t[0] == "M" and cur is not None: cur["mult"][int(t[1])] = int(t[2])
+        elif t[0] == "D": res["decision"], res["reason"] = t[1], t[2]
+        elif t[0] == "N": res["numeric_key"] = (int(t[2]), int(t[3]))
+        elif t[0] == "U": res["receipt"] = (t[2], int(t[3]), t[4])
+    return res
+
+def gap_unreachable(R, coins):
+    if R > 4_000_000: return None
+    mask = (1 << (R + 1)) - 1; reach = 1
+    while True:
+        prev = reach
+        for c in coins:
+            x, step = reach, c
+            while step <= R:
+                x |= (x << step) & mask; step *= 2
+            reach = x
+        if reach == prev: break
+    return not (reach >> R) & 1
+
+def oracle_rows(cal, rows):
+    s, z, b = cal
+    text = "".join(f"{len(q)} {f32bits(s)} {z} {f32bits(b)} " + " ".join(map(str, q)) + "\n" for q in rows)
+    r = subprocess.run([ORACLE], input=text, capture_output=True, text=True)
+    out = []
+    for l in r.stdout.splitlines():
+        t = l.split(); out.append(list(map(int, t[2:])) if t[:2] == ["1", "1"] else None)
+    return out
+
+def validate(cal, tab, res, ref_set, claimed_cal=None):
+    s, z, b = claimed_cal or cal
+    v = dict(table_ok=None, candidates_equal=None, witness_ok=0, witness_bad=[], unreach_ok=0, unreach_bad=[], unreach_unvalidated=0, equivalence_rows=None)
+    t2, _ = table((s, z, b))
+    v["table_ok"] = hashlib.sha256(t2.encode()).hexdigest() == hashlib.sha256(tab.encode()).hexdigest()
+    E = prep[(s, b)]["E"]
+    v["candidates_equal"] = {(c["S"], c["d"], c["bs"], c["bx"]) for c in res["cands"]} == ref_set
+    B = {d: E[d][2] if E[d][0] else 0 for d in E}
+    coins = sorted({B[d] for d in B if E[d][0] and B[d] > 0})
+    wrows, wcands = [], []
+    for c in res["cands"]:
+        if c["status"] == "reachable":
+            m = c["mult"]
+            ok = bool(m) and all(n > 0 and E[d][0] for d, n in m.items()) and m.get(0, 0) >= 1 and m.get(c["d"], 0) >= 1 \
+                and sum(n * B[d] for d, n in m.items()) == c["S"]
+            if ok:
+                q = [127 + d for d, n in sorted(m.items(), reverse=True) for _ in range(n)]
+                pos = q.index(127 + c["d"])
+                a, x = recipe((s, z, b), q), recipe((s, z, b), q, ("reciprocal",))
+                ok = isinstance(a, list) and isinstance(x, list) and a[pos] == c["bs"] and x[pos] == c["bx"] and a[pos] != x[pos]
+                if ok: wrows.append(q); wcands.append((c, pos))
+            if not ok: v["witness_bad"].append(dict(S=c["S"], d=c["d"]))
+        else:
+            R = c["S"] - B[0] - (B[c["d"]] if c["d"] != 0 else 0)
+            if c["status"] == "unreachable_negative":
+                (v.__setitem__("unreach_ok", v["unreach_ok"] + 1) if R < 0 else v["unreach_bad"].append(c["S"]))
+            else:
+                u = gap_unreachable(R, coins) if R >= 0 else False
+                if u is None: v["unreach_unvalidated"] += 1
+                elif u: v["unreach_ok"] += 1
+                else: v["unreach_bad"].append(c["S"])
+    if wrows:
+        ko = oracle_rows((s, z, b), wrows)
+        for (c, pos), kb in zip(wcands, ko):
+            if kb is not None and kb[pos] == c["bs"]: v["witness_ok"] += 1
+            else: v["witness_bad"].append(dict(S=c["S"], d=c["d"], kernel=None if kb is None else kb[pos]))
+    if res["decision"] == "PROVED_OUTPUT_EQUIVALENT":
+        rng = random.Random(65)
+        adm = [d for d in E if E[d][0]]
+        rows = []
+        for _ in range(300):
+            n = rng.choice([2, 3, 8, 64, 256, 511])
+            q = [127] + [127 + rng.choice(adm) for _ in range(n - 1)]
+            rows.append(q)
+        ko = oracle_rows((s, z, b), rows); same = 0; checked = 0
+        for q, kb in zip(rows, ko):
+            a, x = recipe((s, z, b), q), recipe((s, z, b), q, ("reciprocal",))
+            if kb is None or not isinstance(a, list): continue
+            checked += 1; same += kb == a == x
+        v["equivalence_rows"] = dict(checked=checked, identical=same)
+    return v
+
+def ref_sets(path):
+    r = json.load(open(HERE / path)); out = {}
+    for c in r["candidate_samples"]: out.setdefault(c["cal"], set()).add((c["S"], c["d"], c["source_byte"], c["exact_byte"]))
+    for k in r["per_calibration"]: out.setdefault(int(k), set())
+    return out
+
+def verdict(res, v, expect=None):
+    if res["decision"] == "REFUSE_UNKNOWN": return "typed_refusal:" + res["reason"]
+    problems = []
+    if not v["table_ok"]: problems.append("table_digest")
+    if not v["candidates_equal"]: problems.append("candidate_set")
+    if v["witness_bad"]: problems.append("witness")
+    if v["unreach_bad"]: problems.append("unreachable_claim")
+    if v["equivalence_rows"] and v["equivalence_rows"]["identical"] != v["equivalence_rows"]["checked"]: problems.append("equivalence_rows")
+    if expect and res["decision"] != expect: problems.append("decision")
+    return "detected:" + "+".join(problems) if problems else "valid"
+
+t_all = time.perf_counter()
+cert_text = CERT.read_text()
+assert f"source_revision {REV}" in cert_text and f"source_digest {DIGEST}" in cert_text, "committed certificate does not match the pinned source"
+REF_K = ref_sets("recipall63.json")
+REF_H = ref_sets("recipall65_heldout.json") if (HERE / "recipall65_heldout.json").exists() else None
+runs = []
+for group, cals, refs in (("known", CAL, REF_K), ("heldout", HELD, REF_H)):
+    if refs is None:
+        print("held-out reference missing: held-out group NOT RUN"); continue
+    for i, cal in enumerate(cals):
+        tab, t_tab = table(cal)
+        res = gate(cal, tab)
+        v = validate(cal, tab, res, refs[i])
+        expect = ("PROVED_OUTPUT_EQUIVALENT" if i == 9 else "REQUIRES_SOURCE_RECIPROCAL") if group == "known" else None
+        runs.append(dict(group=group, index=i, cal=cal, decision=res["decision"], reason=res["reason"],
+                         candidates=len(res["cands"]), reachable=sum(c["status"] == "reachable" for c in res["cands"]),
+                         unreachable=sum(c["status"] != "reachable" for c in res["cands"]), info=res.get("info"),
+                         timings=dict(table_s=t_tab, gate_wall_s=res["wall_s"], **res["timings"]),
+                         validation=v, verdict=verdict(res, v, expect),
+                         witnesses=[dict(S=c["S"], d=c["d"], w=c["w"], sh_src=c["sh_src"], sh_exact=c["sh_exact"], bs=c["bs"], bx=c["bx"], mult=c["mult"])
+                                    for c in res["cands"] if c["status"] == "reachable"],
+                         unreachable_pairs=[dict(S=c["S"], d=c["d"], status=c["status"]) for c in res["cands"] if c["status"] != "reachable"]))
+        print(group, i, res["decision"], len(res["cands"]), runs[-1]["reachable"], runs[-1]["verdict"], f"{res['wall_s']:.2f}s", flush=True)
+
+mut = []
+if MUTATE:
+    MUTS = ["e_minus1", "e_minus2", "one_sided_window", "exclude_lower_endpoint", "wrong_band", "wrong_weight_threshold", "no_mandatory_max",
+            "no_reachability", "allow_negative_multiplicity", "witness_sum_off_by_max"]
+    for m in MUTS + ["input:wrong_revision", "input:wrong_digest", "input:wrong_calibration", "input:wrong_calibration+skip_table_identity"]:
+        per = []
+        for i, cal in enumerate(CAL):
+            tab, _ = table(cal)
+            claimed = None
+            if m == "input:wrong_revision": res = gate(cal, tab, rev="8f6596d")
+            elif m == "input:wrong_digest": res = gate(cal, tab, dig="0" * 64)
+            elif m.startswith("input:wrong_calibration"):
+                other = CAL[(i + 1) % len(CAL)]; tab, _ = table(other); claimed = cal
+                res = gate(cal, tab, "skip_table_identity" if m.endswith("skip_table_identity") else None)
+            else: res = gate(cal, tab, m)
+            if res["decision"] is None: per.append("crash"); continue
+            v = validate(cal, tab, res, REF_K[i], claimed) if res["decision"] != "REFUSE_UNKNOWN" else None
+            per.append(verdict(res, v, "PROVED_OUTPUT_EQUIVALENT" if i == 9 else "REQUIRES_SOURCE_RECIPROCAL"))
+        eff = sum(p != "valid" for p in per)
+        mut.append(dict(mutation=m, per_calibration=per, calibrations_affected=eff, effective=eff > 0))
+        print("MUT", m, eff, "/ 14", sorted(set(per)), flush=True)
+
+# Negative control for the cache-key / semantic-identity split: calibrations 1 (0.05, beta 2) and
+# 2 (0.1, beta 1) prepare the identical table. Calibration 1's table offered under calibration 2's identity
+# must be accepted with the same numeric key and a different receipt; a different table must be refused.
+ident = None
+if MUTATE:
+    t1, _ = table(CAL[1]); r1 = gate(CAL[1], t1); r12 = gate(CAL[2], t1)
+    t3, _ = table(CAL[3]); r32 = gate(CAL[2], t3)
+    ident = dict(
+        same_table_other_identity=dict(decision=r12["decision"], numeric_key_equal=r12.get("numeric_key") == r1.get("numeric_key"),
+                                       receipt_differs=r12.get("receipt") != r1.get("receipt"), receipt=r12.get("receipt"), own_receipt=r1.get("receipt")),
+        different_table=dict(decision=r32["decision"], reason=r32["reason"]))
+    ok = r12["decision"] == r1["decision"] and ident["same_table_other_identity"]["numeric_key_equal"] and ident["same_table_other_identity"]["receipt_differs"] \
+        and r32["decision"] == "REFUSE_UNKNOWN" and r32["reason"] == "table_identity_mismatch"
+    ident["pass"] = ok
+    print("IDENTITY", "pass" if ok else "FAIL", ident, flush=True)
+
+json.dump(dict(certificate=cert_text.splitlines(), table_identity_controls=ident, source_digest=DIGEST, runs=runs, mutations=mut,
+               wall_s=round(time.perf_counter() - t_all, 1)), open(OUT, "w"), indent=1)
diff --git a/.claude/probes/source-behavior-v1/softcert65_global.txt b/.claude/probes/source-behavior-v1/softcert65_global.txt
new file mode 100644
index 000000000..b9986a4a4
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/softcert65_global.txt
@@ -0,0 +1,16 @@
+SOFTCERT 1
+source_revision 5f64e4ad
+source_digest 0566576b4fb0be4df914ce36e369de295d22e227d661c13a0cec17f5d7f2eb3c
+reciprocal GetReciprocal(x,12)
+domain 524288 268435455
+monotone_exact 1
+E 4 6
+E 5 6
+E 6 6
+E 7 6
+E 8 6
+E 9 6
+E 10 6
+E 11 6
+E 12 6
+scan_seconds 5.413
diff --git a/.claude/probes/source-behavior-v1/softcert65_run.json b/.claude/probes/source-behavior-v1/softcert65_run.json
new file mode 100644
index 000000000..5b9cf2df4
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/softcert65_run.json
@@ -0,0 +1,17880 @@
+{
+ "certificate": [
+  "SOFTCERT 1",
+  "source_revision 5f64e4ad",
+  "source_digest 0566576b4fb0be4df914ce36e369de295d22e227d661c13a0cec17f5d7f2eb3c",
+  "reciprocal GetReciprocal(x,12)",
+  "domain 524288 268435455",
+  "monotone_exact 1",
+  "E 4 6",
+  "E 5 6",
+  "E 6 6",
+  "E 7 6",
+  "E 8 6",
+  "E 9 6",
+  "E 10 6",
+  "E 11 6",
+  "E 12 6",
+  "scan_seconds 5.413"
+ ],
+ "table_identity_controls": {
+  "same_table_other_identity": {
+   "decision": "REQUIRES_SOURCE_RECIPROCAL",
+   "numeric_key_equal": true,
+   "receipt_differs": true,
+   "receipt": [
+    "3dcccccd",
+    22,
+    "3f800000"
+   ],
+   "own_receipt": [
+    "3d4ccccd",
+    99,
+    "40000000"
+   ]
+  },
+  "different_table": {
+   "decision": "REFUSE_UNKNOWN",
+   "reason": "table_identity_mismatch"
+  },
+  "pass": true
+ },
+ "source_digest": "0566576b4fb0be4df914ce36e369de295d22e227d661c13a0cec17f5d7f2eb3c",
+ "runs": [
+  {
+   "group": "known",
+   "index": 0,
+   "cal": [
+    0.05,
+    99,
+    1.0
+   ],
+   "decision": "REQUIRES_SOURCE_RECIPROCAL",
+   "reason": "reachable_witness",
+   "candidates": 20,
+   "reachable": 20,
+   "unreachable": 0,
+   "info": {
+    "weights": 256,
+    "intervals": 139,
+    "evaluated": 150,
+    "candidates": 20
+   },
+   "timings": {
+    "table_s": 0.00463902199999211,
+    "gate_wall_s": 0.39980755500005216,
+    "certificate_load_and_check": 0.000587,
+    "table_parse_and_check": 0.000135,
+    "pruned_search": 0.00915,
+    "reachability_graph": 0.3841,
+    "witness_construction": 4.6e-05
+   },
+   "validation": {
+    "table_ok": true,
+    "candidates_equal": true,
+    "witness_ok": 20,
+    "witness_bad": [],
+    "unreach_ok": 0,
+    "unreach_bad": [],
+    "unreach_unvalidated": 0,
+    "equivalence_rows": null
+   },
+   "verdict": "valid",
+   "witnesses": [
+    {
+     "S": 3793058,
+     "d": -53,
+     "w": 151722319,
+     "sh_src": 1187326858,
+     "sh_exact": 1187326855,
+     "bs": -125,
+     "bx": -126,
+     "mult": {
+      "-196": 1,
+      "-100": 1,
+      "-53": 1,
+      "-37": 1,
+      "0": 7
+     }
+    },
+    {
+     "S": 1359499,
+     "d": -43,
+     "w": 250147815,
+     "sh_src": 1656345330,
+     "sh_exact": 1656345326,
+     "bs": -116,
+     "bx": -117,
+     "mult": {
+      "-184": 1,
+      "-110": 1,
+      "-43": 1,
+      "-15": 1,
+      "0": 2
+     }
+    },
+    {
+     "S": 6650654,
+     "d": -26,
+     "w": 585257551,
+     "sh_src": 1354332862,
+     "sh_exact": 1354332860,
+     "bs": -122,
+     "bx": -123,
+     "mult": {
+      "-169": 1,
+      "-103": 1,
+      "-26": 1,
+      "-18": 1,
+      "0": 12
+     }
+    },
+    {
+     "S": 76908027,
+     "d": -25,
+     "w": 615264216,
+     "sh_src": 1873864062,
+     "sh_exact": 1873864065,
+     "bs": -128,
+     "bx": -127,
+     "mult": {
+      "-218": 1,
+      "-149": 1,
+      "-82": 1,
+      "-25": 1,
+      "-19": 1,
+      "0": 146
+     }
+    },
+    {
+     "S": 25636009,
+     "d": -25,
+     "w": 615264216,
+     "sh_src": 1405398046,
+     "sh_exact": 1405398048,
+     "bs": -127,
+     "bx": -126,
+     "mult": {
+      "-255": 1,
+      "-192": 1,
+      "-112": 1,
+      "-25": 1,
+      "-10": 1,
+      "0": 48
+     }
+    },
+    {
+     "S": 26950402,
+     "d": -24,
+     "w": 646809647,
+     "sh_src": 1336855646,
+     "sh_exact": 1336855644,
+     "bs": -126,
+     "bx": -127,
+     "mult": {
+      "-121": 1,
+      "-46": 1,
+      "-24": 1,
+      "0": 51
+     }
+    },
+    {
+     "S": 84996534,
+     "d": -23,
+     "w": 679972271,
+     "sh_src": 1695541942,
+     "sh_exact": 1695541939,
+     "bs": -127,
+     "bx": -128,
+     "mult": {
+      "-169": 1,
+      "-76": 1,
+      "-23": 1,
+      "-5": 1,
+      "0": 161
+     }
+    },
+    {
+     "S": 4047454,
+     "d": -23,
+     "w": 679972271,
+     "sh_src": 1112699396,
+     "sh_exact": 1112699398,
+     "bs": -118,
+     "bx": -117,
+     "mult": {
+      "-220": 1,
+      "-144": 1,
+      "-83": 1,
+      "-23": 1,
+      "-19": 1,
+      "0": 7
+     }
+    },
+    {
+     "S": 40205274,
+     "d": -16,
+     "w": 964926574,
+     "sh_src": 1792242336,
+     "sh_exact": 1792242332,
+     "bs": -126,
+     "bx": -127,
+     "mult": {
+      "-255": 1,
+      "-192": 1,
+      "-130": 1,
+      "-29": 1,
+      "-16": 1,
+      "0": 76
+     }
+    },
+    {
+     "S": 25359980,
+     "d": -15,
+     "w": 1014399201,
+     "sh_src": 1420695006,
+     "sh_exact": 1420695009,
+     "bs": -126,
+     "bx": -125,
+     "mult": {
+      "-225": 1,
+      "-159": 1,
+      "-66": 1,
+      "-15": 1,
+      "-3": 1,
+      "0": 47
+     }
+    },
+    {
+     "S": 26660221,
+     "d": -14,
+     "w": 1066408839,
+     "sh_src": 1351406544,
+     "sh_exact": 1351406540,
+     "bs": -125,
+     "bx": -126,
+     "mult": {
+      "-238": 1,
+      "-183": 1,
+      "-112": 1,
+      "-21": 1,
+      "-14": 1,
+      "0": 50
+     }
+    },
+    {
+     "S": 3808603,
+     "d": -14,
+     "w": 1066408839,
+     "sh_src": 1182480718,
+     "sh_exact": 1182480723,
+     "bs": -111,
+     "bx": -110,
+     "mult": {
+      "-211": 1,
+      "-140": 1,
+      "-73": 1,
+      "-14": 1,
+      "-6": 1,
+      "0": 6
+     }
+    },
+    {
+     "S": 32562876,
+     "d": -10,
+     "w": 1302515042,
+     "sh_src": 1106437800,
+     "sh_exact": 1106437804,
+     "bs": -126,
+     "bx": -125,
+     "mult": {
+      "-180": 1,
+      "-104": 1,
+      "-14": 1,
+      "-10": 1,
+      "0": 61
+     }
+    },
+    {
+     "S": 10854292,
+     "d": -10,
+     "w": 1302515042,
+     "sh_src": 1659656702,
+     "sh_exact": 1659656706,
+     "bs": -121,
+     "bx": -120,
+     "mult": {
+      "-229": 1,
+      "-138": 1,
+      "-47": 1,
+      "-10": 1,
+      "0": 20
+     }
+    },
+    {
+     "S": 59979222,
+     "d": -8,
+     "w": 1439501330,
+     "sh_src": 1201375934,
+     "sh_exact": 1201375937,
+     "bs": -127,
+     "bx": -126,
+     "mult": {
+      "-229": 1,
+      "-164": 1,
+      "-73": 1,
+      "-8": 1,
+      "-7": 1,
+      "0": 113
+     }
+    },
+    {
+     "S": 189163267,
+     "d": -7,
+     "w": 1513306137,
+     "sh_src": 1523712188,
+     "sh_exact": 1523712192,
+     "bs": -128,
+     "bx": -127,
+     "mult": {
+      "-255": 1,
+      "-167": 1,
+      "-47": 1,
+      "-7": 1,
+      "0": 360
+     }
+    },
+    {
+     "S": 6857306,
+     "d": -6,
+     "w": 1590894991,
+     "sh_src": 1313518638,
+     "sh_exact": 1313518641,
+     "bs": -114,
+     "bx": -113,
+     "mult": {
+      "-192": 1,
+      "-104": 1,
+      "-22": 1,
+      "-6": 1,
+      "0": 12
+     }
+    },
+    {
+     "S": 7967053,
+     "d": -3,
+     "w": 1848356295,
+     "sh_src": 1130555962,
+     "sh_exact": 1130555960,
+     "bs": -113,
+     "bx": -114,
+     "mult": {
+      "-229": 1,
+      "-121": 1,
+      "-22": 1,
+      "-3": 1,
+      "0": 14
+     }
+    },
+    {
+     "S": 242890447,
+     "d": -2,
+     "w": 1943123572,
+     "sh_src": 1186668232,
+     "sh_exact": 1186668227,
+     "bs": -127,
+     "bx": -128,
+     "mult": {
+      "-175": 1,
+      "-111": 1,
+      "-20": 1,
+      "-2": 1,
+      "0": 462
+     }
+    },
+    {
+     "S": 255343701,
+     "d": -1,
+     "w": 2042749603,
+     "sh_src": 1128793762,
+     "sh_exact": 1128793759,
+     "bs": -127,
+     "bx": -128,
+     "mult": {
+      "-245": 1,
+      "-177": 1,
+      "-51": 1,
+      "-1": 1,
+      "0": 486
+     }
+    }
+   ],
+   "unreachable_pairs": []
+  },
+  {
+   "group": "known",
+   "index": 1,
+   "cal": [
+    0.05,
+    99,
+    2.0
+   ],
+   "decision": "REQUIRES_SOURCE_RECIPROCAL",
+   "reason": "reachable_witness",
+   "candidates": 10,
+   "reachable": 10,
+   "unreachable": 0,
+   "info": {
+    "weights": 203,
+    "intervals": 72,
+    "evaluated": 77,
+    "candidates": 10
+   },
+   "timings": {
+    "table_s": 0.002583967000020948,
+    "gate_wall_s": 0.35144123899999613,
+    "certificate_load_and_check": 5.2e-05,
+    "table_parse_and_check": 0.00012,
+    "pruned_search": 0.008412,
+    "reachability_graph": 0.339242,
+    "witness_construction": 3e-05
+   },
+   "validation": {
+    "table_ok": true,
+    "candidates_equal": true,
+    "witness_ok": 10,
+    "witness_bad": [],
+    "unreach_ok": 0,
+    "unreach_bad": [],
+    "unreach_unvalidated": 0,
+    "equivalence_rows": null
+   },
+   "verdict": "valid",
+   "witnesses": [
+    {
+     "S": 6650654,
+     "d": -13,
+     "w": 585257551,
+     "sh_src": 1354332862,
+     "sh_exact": 1354332860,
+     "bs": -122,
+     "bx": -123,
+     "mult": {
+      "-100": 1,
+      "-77": 1,
+      "-52": 1,
+      "-13": 1,
+      "-9": 1,
+      "0": 12
+     }
+    },
+    {
+     "S": 26950402,
+     "d": -12,
+     "w": 646809647,
+     "sh_src": 1336855646,
+     "sh_exact": 1336855644,
+     "bs": -126,
+     "bx": -127,
+     "mult": {
+      "-138": 1,
+      "-91": 1,
+      "-61": 1,
+      "-23": 1,
+      "-12": 1,
+      "0": 51
+     }
+    },
+    {
+     "S": 40205274,
+     "d": -8,
+     "w": 964926574,
+     "sh_src": 1792242336,
+     "sh_exact": 1792242332,
+     "bs": -126,
+     "bx": -127,
+     "mult": {
+      "-138": 1,
+      "-97": 1,
+      "-73": 1,
+      "-44": 1,
+      "-15": 1,
+      "-8": 1,
+      "0": 76
+     }
+    },
+    {
+     "S": 26660221,
+     "d": -7,
+     "w": 1066408839,
+     "sh_src": 1351406544,
+     "sh_exact": 1351406540,
+     "bs": -125,
+     "bx": -126,
+     "mult": {
+      "-105": 1,
+      "-74": 1,
+      "-39": 1,
+      "-11": 1,
+      "-7": 1,
+      "0": 50
+     }
+    },
+    {
+     "S": 3808603,
+     "d": -7,
+     "w": 1066408839,
+     "sh_src": 1182480718,
+     "sh_exact": 1182480723,
+     "bs": -111,
+     "bx": -110,
+     "mult": {
+      "-114": 1,
+      "-87": 1,
+      "-62": 1,
+      "-37": 1,
+      "-7": 1,
+      "-3": 1,
+      "0": 6
+     }
+    },
+    {
+     "S": 32562876,
+     "d": -5,
+     "w": 1302515042,
+     "sh_src": 1106437800,
+     "sh_exact": 1106437804,
+     "bs": -126,
+     "bx": -125,
+     "mult": {
+      "-90": 1,
+      "-52": 1,
+      "-7": 1,
+      "-5": 1,
+      "0": 61
+     }
+    },
+    {
+     "S": 10854292,
+     "d": -5,
+     "w": 1302515042,
+     "sh_src": 1659656702,
+     "sh_exact": 1659656706,
+     "bs": -121,
+     "bx": -120,
+     "mult": {
+      "-127": 1,
+      "-88": 1,
+      "-52": 1,
+      "-24": 1,
+      "-5": 1,
+      "0": 20
+     }
+    },
+    {
+     "S": 59979222,
+     "d": -4,
+     "w": 1439501330,
+     "sh_src": 1201375934,
+     "sh_exact": 1201375937,
+     "bs": -127,
+     "bx": -126,
+     "mult": {
+      "-122": 1,
+      "-92": 1,
+      "-52": 1,
+      "-29": 1,
+      "-4": 2,
+      "0": 113
+     }
+    },
+    {
+     "S": 6857306,
+     "d": -3,
+     "w": 1590894991,
+     "sh_src": 1313518638,
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+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1897584,
+     "d": -167,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 851694,
+     "d": -159,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 659528,
+     "d": -145,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 695377,
+     "d": -124,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 1136328,
+     "d": -123,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 607710,
+     "d": -118,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 1847506,
+     "d": -114,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1556517,
+     "d": -106,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 847292,
+     "d": -102,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 792628,
+     "d": -102,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 741016,
+     "d": -101,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 907785,
+     "d": -99,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 706055,
+     "d": -99,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 1432192,
+     "d": -80,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1380736,
+     "d": -80,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 537032,
+     "d": -78,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 663214,
+     "d": -72,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 1217647,
+     "d": -70,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1171407,
+     "d": -69,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 544971,
+     "d": -63,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 651387,
+     "d": -61,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 706530,
+     "d": -60,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 1327045,
+     "d": -47,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1044695,
+     "d": -47,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1951549,
+     "d": -42,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1701762,
+     "d": -30,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1400898,
+     "d": -30,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1435931,
+     "d": -17,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1689589,
+     "d": -13,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 748969,
+     "d": -8,
+     "status": "unreachable_negative"
+    },
+    {
+     "S": 1416518,
+     "d": -7,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 1784546,
+     "d": -5,
+     "status": "unreachable_gap"
+    },
+    {
+     "S": 829916,
+     "d": -4,
+     "status": "unreachable_negative"
+    }
+   ]
+  },
+  {
+   "group": "heldout",
+   "index": 7,
+   "cal": [
+    0.04,
+    0,
+    3.0
+   ],
+   "decision": "REQUIRES_SOURCE_RECIPROCAL",
+   "reason": "reachable_witness",
+   "candidates": 11,
+   "reachable": 11,
+   "unreachable": 0,
+   "info": {
+    "weights": 171,
+    "intervals": 81,
+    "evaluated": 85,
+    "candidates": 11
+   },
+   "timings": {
+    "table_s": 0.0014862230000289856,
+    "gate_wall_s": 0.24996688200002382,
+    "certificate_load_and_check": 5.1e-05,
+    "table_parse_and_check": 0.000123,
+    "pruned_search": 0.007089,
+    "reachability_graph": 0.239437,
+    "witness_construction": 4.4e-05
+   },
+   "validation": {
+    "table_ok": true,
+    "candidates_equal": true,
+    "witness_ok": 11,
+    "witness_bad": [],
+    "unreach_ok": 0,
+    "unreach_bad": [],
+    "unreach_unvalidated": 0,
+    "equivalence_rows": null
+   },
+   "verdict": "valid",
+   "witnesses": [
+    {
+     "S": 3504327,
+     "d": -27,
+     "w": 84103847,
+     "sh_src": 1285153936,
+     "sh_exact": 1285153933,
+     "bs": -126,
+     "bx": -127,
+     "mult": {
+      "-115": 1,
+      "-81": 1,
+      "-53": 1,
+      "-31": 1,
+      "-27": 1,
+      "-4": 1,
+      "0": 6
+     }
+    },
+    {
+     "S": 18802658,
+     "d": -13,
+     "w": 451263792,
+     "sh_src": 1916154458,
+     "sh_exact": 1916154462,
+     "bs": -127,
+     "bx": -126,
+     "mult": {
+      "-89": 1,
+      "-67": 1,
+      "-48": 1,
+      "-29": 1,
+      "-13": 1,
+      "-4": 1,
+      "0": 35
+     }
+    },
+    {
+     "S": 26132315,
+     "d": -6,
+     "w": 1045292601,
+     "sh_src": 1378706668,
+     "sh_exact": 1378706671,
+     "bs": -126,
+     "bx": -125,
+     "mult": {
+      "-106": 1,
+      "-72": 1,
+      "-34": 1,
+      "-9": 1,
+      "-6": 1,
+      "0": 49
+     }
+    },
+    {
+     "S": 2375665,
+     "d": -6,
+     "w": 1045292601,
+     "sh_src": 1895721668,
+     "sh_exact": 1895721673,
+     "bs": -101,
+     "bx": -100,
+     "mult": {
+      "-88": 1,
+      "-68": 1,
+      "-26": 1,
+      "-6": 1,
+      "0": 4
+     }
+    },
+    {
+     "S": 49106835,
+     "d": -5,
+     "w": 1178564040,
+     "sh_src": 1467363840,
+     "sh_exact": 1467363841,
+     "bs": -127,
+     "bx": -126,
+     "mult": {
+      "-92": 1,
+      "-58": 1,
+      "-37": 1,
+      "-19": 1,
+      "-5": 1,
+      "0": 93
+     }
+    },
+    {
+     "S": 29464101,
+     "d": -5,
+     "w": 1178564040,
+     "sh_src": 1222803198,
+     "sh_exact": 1222803201,
+     "bs": -126,
+     "bx": -125,
+     "mult": {
+      "-91": 1,
+      "-70": 1,
+      "-48": 1,
+      "-30": 1,
+      "-5": 1,
+      "-4": 1,
+      "0": 55
+     }
+    },
+    {
+     "S": 9821367,
+     "d": -5,
+     "w": 1178564040,
+     "sh_src": 1834204800,
+     "sh_exact": 1834204802,
+     "bs": -121,
+     "bx": -120,
+     "mult": {
+      "-115": 1,
+      "-89": 1,
+      "-53": 1,
+      "-34": 1,
+      "-15": 1,
+      "-5": 1,
+      "0": 18
+     }
+    },
+    {
+     "S": 1091263,
+     "d": -5,
+     "w": 1178564040,
+     "sh_src": 2063480400,
+     "sh_exact": 2063480402,
+     "bs": -61,
+     "bx": -60,
+     "mult": {
+      "-97": 1,
+      "-73": 1,
+      "-54": 1,
+      "-26": 1,
+      "-6": 1,
+      "-5": 1,
+      "0": 1
+     }
+    },
+    {
+     "S": 211158849,
+     "d": -2,
+     "w": 1689270790,
+     "sh_src": 1364993122,
+     "sh_exact": 1364993120,
+     "bs": -127,
+     "bx": -128,
+     "mult": {
+      "-85": 1,
+      "-66": 1,
+      "-40": 1,
+      "-22": 1,
+      "-2": 1,
+      "-1": 1,
+      "0": 401
+     }
+    },
+    {
+     "S": 79360298,
+     "d": -1,
+     "w": 1904647154,
+     "sh_src": 1815960770,
+     "sh_exact": 1815960773,
+     "bs": -127,
+     "bx": -126,
+     "mult": {
+      "-106": 1,
+      "-85": 1,
+      "-65": 1,
+      "-45": 1,
+      "-26": 1,
+      "-7": 1,
+      "-1": 1,
+      "0": 150
+     }
+    },
+    {
+     "S": 47616179,
+     "d": -1,
+     "w": 1904647154,
+     "sh_src": 1513300642,
+     "sh_exact": 1513300638,
+     "bs": -125,
+     "bx": -126,
+     "mult": {
+      "-115": 1,
+      "-91": 1,
+      "-73": 1,
+      "-50": 1,
+      "-26": 1,
+      "-1": 2,
+      "0": 89
+     }
+    }
+   ],
+   "unreachable_pairs": []
+  }
+ ],
+ "mutations": [
+  {
+   "mutation": "e_minus1",
+   "per_calibration": [
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid"
+   ],
+   "calibrations_affected": 0,
+   "effective": false
+  },
+  {
+   "mutation": "e_minus2",
+   "per_calibration": [
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "valid",
+    "valid"
+   ],
+   "calibrations_affected": 2,
+   "effective": true
+  },
+  {
+   "mutation": "one_sided_window",
+   "per_calibration": [
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "valid",
+    "valid",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "detected:candidate_set"
+   ],
+   "calibrations_affected": 12,
+   "effective": true
+  },
+  {
+   "mutation": "exclude_lower_endpoint",
+   "per_calibration": [
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid"
+   ],
+   "calibrations_affected": 0,
+   "effective": false
+  },
+  {
+   "mutation": "wrong_band",
+   "per_calibration": [
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "valid",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision",
+    "detected:candidate_set+decision"
+   ],
+   "calibrations_affected": 13,
+   "effective": true
+  },
+  {
+   "mutation": "wrong_weight_threshold",
+   "per_calibration": [
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "detected:candidate_set",
+    "detected:candidate_set",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "detected:candidate_set",
+    "detected:candidate_set"
+   ],
+   "calibrations_affected": 4,
+   "effective": true
+  },
+  {
+   "mutation": "no_mandatory_max",
+   "per_calibration": [
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "valid",
+    "valid",
+    "detected:witness+unreachable_claim",
+    "detected:witness+unreachable_claim",
+    "detected:witness",
+    "detected:witness"
+   ],
+   "calibrations_affected": 8,
+   "effective": true
+  },
+  {
+   "mutation": "no_reachability",
+   "per_calibration": [
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "valid",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness",
+    "detected:witness"
+   ],
+   "calibrations_affected": 13,
+   "effective": true
+  },
+  {
+   "mutation": "allow_negative_multiplicity",
+   "per_calibration": [
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "valid",
+    "typed_refusal:witness_negative_multiplicity",
+    "detected:witness",
+    "valid",
+    "valid"
+   ],
+   "calibrations_affected": 2,
+   "effective": true
+  },
+  {
+   "mutation": "witness_sum_off_by_max",
+   "per_calibration": [
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "valid",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch",
+    "typed_refusal:witness_sum_mismatch"
+   ],
+   "calibrations_affected": 13,
+   "effective": true
+  },
+  {
+   "mutation": "input:wrong_revision",
+   "per_calibration": [
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch",
+    "typed_refusal:source_revision_mismatch"
+   ],
+   "calibrations_affected": 14,
+   "effective": true
+  },
+  {
+   "mutation": "input:wrong_digest",
+   "per_calibration": [
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch",
+    "typed_refusal:source_digest_mismatch"
+   ],
+   "calibrations_affected": 14,
+   "effective": true
+  },
+  {
+   "mutation": "input:wrong_calibration",
+   "per_calibration": [
+    "typed_refusal:table_identity_mismatch",
+    "valid",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch",
+    "typed_refusal:table_identity_mismatch"
+   ],
+   "calibrations_affected": 13,
+   "effective": true
+  },
+  {
+   "mutation": "input:wrong_calibration+skip_table_identity",
+   "per_calibration": [
+    "detected:table_digest+candidate_set+witness",
+    "valid",
+    "detected:table_digest+candidate_set+witness",
+    "detected:table_digest+candidate_set+witness+unreachable_claim",
+    "detected:table_digest+candidate_set+witness",
+    "detected:table_digest+candidate_set+witness+unreachable_claim",
+    "detected:table_digest+candidate_set+witness",
+    "detected:table_digest+candidate_set+witness",
+    "detected:table_digest+candidate_set+decision",
+    "detected:table_digest+candidate_set+witness+unreachable_claim+decision",
+    "detected:table_digest+candidate_set+witness+unreachable_claim",
+    "detected:table_digest+candidate_set+witness",
+    "detected:table_digest+candidate_set+witness",
+    "detected:table_digest+candidate_set+witness"
+   ],
+   "calibrations_affected": 13,
+   "effective": true
+  }
+ ],
+ "wall_s": 49.4
+}
\ No newline at end of file
diff --git a/.claude/probes/source-behavior-v1/softmax63.py b/.claude/probes/source-behavior-v1/softmax63.py
new file mode 100644
index 000000000..2c16ed9d7
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/softmax63.py
@@ -0,0 +1,220 @@
+# /// script
+# requires-python = ">=3.10"
+# dependencies = ["numpy", "mpmath"]
+# ///
+"""Amendment 6.3 part C: TFLM int8 SOFTMAX source oracle sweep and source-compatible recipe.
+
+Usage: softmax63.py SOFTMAX_ORACLE_BIN TRACE63_BIN OUT.json
+
+Arms per row (int8 input codes, output scale 1/256 zp -128, the TFLM int8 contract):
+  oracle   real TFLM Register_SOFTMAX (../fisherz-softmax-v1/softmax_oracle.cc, reused)
+  recipe   source-compatible prepared recipe:
+             prepared (once per calibration, with TFLM's own primitives via trace63 `softexp`):
+               A[d] = exp_on_negative_values(rescale(d)) raw Q0.31,  B[d] = Rescale<12>(A[d]) raw,
+               admitted[d] = d >= diff_min, for d = -255..0
+             per row (lab Python, integer only): max, S = sum B[d_i] (refuse if > INT32_MAX: source UB),
+               GetReciprocal(S,12) -> (shifted_scale, nbits), refuse if exponent nbits+23 not in [0,31]
+               (source TFLITE_CHECK abort), out_i = clamp(RDBPOT(SRDHM(shifted, A[d_i]), exp) - 128),
+               non-admitted -> -128.  No exp/tanh evaluated at run time.
+  f24      Amendment 6.1 exact-first / exact-zero F24 arm with certified escalation (math contract:
+           p = softmax(beta*scale*(q - zp)) correctly rounded, ties away)
+  ref      independent mpmath reference (40 digits) for the math contract
+GetReciprocal is re-implemented in Python for the recipe and checked against TFLM's GetReciprocal.
+"""
+import json, math, random, subprocess, sys, time
+from fractions import Fraction
+import numpy as np, mpmath as mp
+
+ORACLE, TRACE, OUT = sys.argv[1:4]
+mp.mp.dps = 40
+I32MIN, I32MAX = -(1 << 31), (1 << 31) - 1
+def i32(x): x &= 0xFFFFFFFF; return x - (1 << 32) if x >> 31 else x
+def trunc_div(a, b): q = abs(a) // b; return q if a >= 0 else -q
+def srdhm(a, b):                                   # fixedpoint.h:328-338
+    if a == b == I32MIN: return I32MAX
+    ab = a * b; nudge = (1 << 30) if ab >= 0 else 1 - (1 << 30)
+    return i32(trunc_div(ab + nudge, 1 << 31))
+def rdbpot(x, e):                                  # fixedpoint.h:356-367
+    mask = (1 << e) - 1; rem = x & mask; thr = (mask >> 1) + (1 if x < 0 else 0)
+    return (x >> e) + (1 if rem > thr else 0)
+def satshl(x, e):                                  # fixedpoint.h:385-406
+    thr = (1 << (31 - e)) - 1
+    return I32MAX if x > thr else I32MIN if x < -thr else i32(x << e)
+def rhs(a, b): s = a + b; sg = 1 if s >= 0 else -1; return trunc_div(s + sg, 2)   # :235-241
+def one_over_one_plus_x(a):                        # fixedpoint.h:832-853
+    hd = rhs(a, I32MAX)
+    x = i32(1515870810 + srdhm(hd, -1010580540))
+    for _ in range(3):
+        hdx = srdhm(hd, x); om = i32((1 << 29) - hdx)
+        x = i32(x + satshl(srdhm(x, om), 2))
+    return satshl(x, 1)
+def get_reciprocal(s):                             # common.h:968-982, x_integer_digits = 12
+    hpo = 32 - (s & 0xFFFFFFFF).bit_length()
+    ssm1 = i32(((s << hpo) & 0xFFFFFFFF) - (1 << 31))
+    return one_over_one_plus_x(ssm1), 12 - hpo
+
+def run(bin_, text): return subprocess.run([bin_], input=text, capture_output=True, text=True)
+def f32bits(v): return format(np.float32(v).view(np.uint32), "08x")
+
+# --- calibrations and rows -----------------------------------------------------------------
+rng = random.Random(63)
+CAL = [(s, z, b) for s in (0.05, 0.1, 1 / 16, 0.0234375, 0.5, 1 / 256, 0.0137) for z, b in
+       ((rng.randint(-128, 127), 1.0), (rng.randint(-128, 127), 2.0))]
+NS = [2, 3, 16, 64, 256, 511, 512, 513, 1024, 4096]
+def rows_for(n):
+    yield "uniform", [rng.randint(-128, 127) for _ in range(n)]
+    yield "near_max", [rng.randint(112, 127) for _ in range(n)]
+    yield "ties", [37] * n
+    yield "spike", [-128] * (n - 1) + [127]
+    yield "low_range", [rng.randint(-10, 10) for _ in range(n)]
+    yield "two_max", [100, 100] + [rng.randint(-128, 60) for _ in range(n - 2)]
+cases = [(cal, dn, q) for cal in CAL for n in NS for dn, q in rows_for(n)]
+
+# --- prepared per-calibration weights (source primitives) ----------------------------------
+prep = {}
+for s, z, b in CAL:
+    out = run(TRACE, f"softexp {f32bits(s)} {f32bits(b)}\n").stdout.splitlines()
+    m, sh, dmin = map(int, out[0].split()[1:])
+    E = {int(t[1]): (int(t[2]) == 1, int(t[4]), int(t[5])) for t in (l.split() for l in out[1:])}
+    prep[(s, b)] = dict(mult=m, shift=sh, diff_min=dmin, E=E)
+
+# --- oracle, batched, falling back to one process per case on an abort ---------------------
+def oline(cal, q):
+    s, z, b = cal; return f"{len(q)} {f32bits(s)} {z} {f32bits(b)} " + " ".join(map(str, q))
+t0 = time.perf_counter()
+ORA = [None] * len(cases)
+CH = 30
+for st in range(0, len(cases), CH):
+    chunk = list(range(st, min(st + CH, len(cases))))
+    r = run(ORACLE, "\n".join(oline(cases[i][0], cases[i][2]) for i in chunk) + "\n")
+    lines = r.stdout.splitlines()
+    if r.returncode == 0 and len(lines) == len(chunk):
+        for i, l in zip(chunk, lines): ORA[i] = l.split()
+    else:
+        for i in chunk:
+            r1 = run(ORACLE, oline(cases[i][0], cases[i][2]) + "\n")
+            ORA[i] = r1.stdout.split() if r1.returncode == 0 and r1.stdout else ["ABORT", str(r1.returncode)]
+t_oracle = time.perf_counter() - t0
+
+# --- recipe ---------------------------------------------------------------------------------
+def recipe(cal, q, disable=()):
+    s, z, b = cal; P = prep[(s, b)]; E = P["E"]
+    m = max(q); S = 0
+    for v in q:
+        adm, a, acc = E[v - m]
+        if adm or "diff_min" in disable:
+            S += acc if "rescale12" not in disable else (a >> 12)
+    if S > I32MAX: return "REFUSE q12_accumulator_overflow"
+    if "reciprocal" in disable:
+        # DISABLE: exact correctly rounded reciprocal in place of the source Newton-Raphson
+        hpo = 32 - S.bit_length(); nb = 12 - hpo
+        sh = min(I32MAX, rh_away(Fraction(1 << 62, S << hpo)))
+    else:
+        sh, nb = get_reciprocal(S)
+    ex = nb + 23
+    if not 0 <= ex <= 31: return f"REFUSE source_abort_exponent_{ex}"
+    out = []
+    for v in q:
+        adm, a, _ = E[v - m]
+        out.append(max(-128, min(127, rdbpot(srdhm(sh, a), ex) - 128)) if adm or "diff_min" in disable else -128)
+    return out
+
+# --- F24 exact-first / exact-zero arm and independent reference ----------------------------
+def rh_away(x): a = abs(x); r = math.floor(a + Fraction(1, 2)); return r if x >= 0 else -r
+def code_p(p): return max(-128, min(127, rh_away(256 * p) - 128))
+def frac(x):
+    sg, man, exp, _ = mp.mpf(x)._mpf_
+    v = Fraction(int(man)) * (Fraction(2) ** int(exp)) if man else Fraction(0)
+    return -v if sg else v
+W24 = {}
+def w24(s, b, d):  # certified round(2^24 e^{beta*s*d}) and exact-zero flag; d <= 0
+    key = (s, b, d)
+    if key not in W24:
+        if d == 0: W24[key] = (1 << 24, 0)
+        else:
+            mp.iv.prec = 96
+            k = Fraction(float(np.float32(b))) * Fraction(float(np.float32(s))) * d
+            iv = mp.iv.exp(mp.iv.mpf(k.numerator) / k.denominator) * (1 << 24)
+            lo, hi = math.floor(frac(iv.a) + Fraction(1, 2)), math.floor(frac(iv.b) + Fraction(1, 2))
+            assert lo == hi; W24[key] = (lo, 1)
+    return W24[key]
+def f24(cal, q):
+    s, z, b = cal; n = len(q); m = max(q)
+    if len(set(q)) == 1: return [code_p(Fraction(1, n))] * n, "shortcut"
+    W = [w24(s, b, v - m) for v in q]; S = sum(w for w, _ in W); E = Fraction(sum(e for _, e in W), 2)
+    if S <= E: cert = [False] * n; ph = [Fraction(0)] * n
+    else:
+        ph = [Fraction(w, S) for w, _ in W]
+        cert = []
+        for (w, e), p in zip(W, ph):
+            Bp = (Fraction(e, 2) + p * E) / (S - E)
+            cert.append(code_p(max(Fraction(0), p - Bp)) == code_p(min(Fraction(1), p + Bp)))
+    out = [code_p(p) if c else None for p, c in zip(ph, cert)]
+    if all(cert): return out, "bound"
+    kq = Fraction(float(np.float32(b))) * Fraction(float(np.float32(s)))
+    for prec in (64, 128, 256, 512):
+        mp.iv.prec = prec
+        e = {v: mp.iv.exp(mp.iv.mpf((kq * (v - m)).numerator) / (kq * (v - m)).denominator) for v in set(q)}
+        Sv = sum((e[v] for v in q), mp.iv.mpf(0)); done = True
+        for i, v in enumerate(q):
+            if out[i] is None:
+                pv = e[v] / Sv; lo, hi = code_p(frac(pv.a)), code_p(frac(pv.b))
+                if lo == hi: out[i] = lo
+                else: done = False
+        if done: return out, f"escalated@{prec}"
+    return out, "UNRESOLVED"
+def ref(cal, q):
+    s, z, b = cal; k = mp.mpf(float(np.float32(b))) * mp.mpf(float(np.float32(s))); m = max(q)
+    w = [mp.e ** (k * (v - m)) for v in q]; S = mp.fsum(w)
+    return [code_p(frac(x / S)) for x in w]
+
+# --- sweep -----------------------------------------------------------------------------------
+res = dict(calibrations=[dict(scale=s, zp=z, beta=b, **{k: v for k, v in prep[(s, b)].items() if k != "E"}) for s, z, b in CAL],
+           rows=len(cases), elements=sum(len(q) for _, _, q in cases))
+cnt = dict(source_ok_rows=0, source_abort_rows=0, recipe_refused_rows=0, refusal_matches_abort=0,
+           refusal_mismatch=0, recipe_vs_oracle_cells=0, recipe_vs_oracle_diff=0,
+           oracle_vs_f24_diff=0, oracle_vs_ref_diff=0, f24_vs_ref_diff=0, f24_unresolved=0, cells_compared=0,
+           disable_rescale12_diff=0, disable_reciprocal_diff=0, disable_diff_min_diff=0)
+f24cls, abort_rows, diff_examples, by_len = {}, [], [], {}
+t_recipe = t_f24 = 0.0
+for (cal, dn, q), o in zip(cases, ORA):
+    key = f"n{len(q)}"; bl = by_len.setdefault(key, dict(rows=0, abort=0, diff_cells_vs_ref=0, cells=0))
+    bl["rows"] += 1
+    t1 = time.perf_counter(); r = recipe(cal, q); t_recipe += time.perf_counter() - t1
+    src_ok = o[0] == "1" and o[1] == "1"
+    if not src_ok:
+        cnt["source_abort_rows"] += 1; bl["abort"] += 1
+        abort_rows.append(dict(cal=cal, dist=dn, n=len(q), oracle=o[:2], recipe=r if isinstance(r, str) else "ACCEPTED"))
+        if isinstance(r, str): cnt["refusal_matches_abort"] += 1; cnt["recipe_refused_rows"] += 1
+        else: cnt["refusal_mismatch"] += 1
+        continue
+    cnt["source_ok_rows"] += 1
+    oc = [int(v) for v in o[2:]]
+    if isinstance(r, str): cnt["recipe_refused_rows"] += 1; cnt["refusal_mismatch"] += 1; continue
+    cnt["recipe_vs_oracle_cells"] += len(q); cnt["recipe_vs_oracle_diff"] += sum(a != b for a, b in zip(r, oc))
+    for dis in ("rescale12", "reciprocal", "diff_min"):
+        rd = recipe(cal, q, (dis,))
+        cnt[f"disable_{dis}_diff"] += len(q) if isinstance(rd, str) else sum(a != b for a, b in zip(rd, oc))
+    t1 = time.perf_counter(); fc, how = f24(cal, q); t_f24 += time.perf_counter() - t1
+    f24cls[how.split("@")[0]] = f24cls.get(how.split("@")[0], 0) + 1
+    rc = ref(cal, q)
+    cnt["cells_compared"] += len(q); bl["cells"] += len(q)
+    cnt["f24_unresolved"] += sum(v is None for v in fc)
+    d_or = [i for i in range(len(q)) if oc[i] != rc[i]]
+    cnt["oracle_vs_ref_diff"] += len(d_or); bl["diff_cells_vs_ref"] += len(d_or)
+    cnt["oracle_vs_f24_diff"] += sum(oc[i] != fc[i] for i in range(len(q)))
+    cnt["f24_vs_ref_diff"] += sum(fc[i] != rc[i] for i in range(len(q)))
+    if d_or and len(diff_examples) < 25:
+        i = d_or[0]; s, z, b = cal
+        p = mp.e ** (mp.mpf(float(np.float32(b))) * mp.mpf(float(np.float32(s))) * (q[i] - max(q)))
+        diff_examples.append(dict(scale=s, zp=z, beta=b, dist=dn, n=len(q), index=i, d=q[i] - max(q),
+                                  oracle=oc[i], ref=rc[i], f24=fc[i], cells_differing_in_row=len(d_or)))
+# reciprocal reimplementation vs TFLM GetReciprocal (independent check of the lab recipe's one non-table step)
+Ss = sorted({rng.randint(1 << 19, (1 << 28) - 1) for _ in range(20000)} | {1 << 19, (1 << 28) - 1, (1 << 20), 3 << 19})
+rr = run(TRACE, "".join(f"recip {s}\n" for s in Ss)).stdout.splitlines()
+rec_bad = sum(1 for s, l in zip(Ss, rr) if tuple(map(int, l.split()[2:4])) != get_reciprocal(s))
+res.update(counts=cnt, f24_row_classes=f24cls, by_length=by_len, aborts=abort_rows, oracle_vs_ref_examples=diff_examples,
+           reciprocal_check=dict(values=len(Ss), mismatches=rec_bad),
+           timing_python_s=dict(oracle_all=t_oracle, recipe_all=t_recipe, f24_all=t_f24))
+json.dump(res, open(OUT, "w"), indent=1, default=str)
+print(json.dumps({k: v for k, v in res.items() if k not in ("aborts", "oracle_vs_ref_examples", "calibrations")}, indent=1, default=str))
diff --git a/.claude/probes/source-behavior-v1/trace63.cc b/.claude/probes/source-behavior-v1/trace63.cc
new file mode 100644
index 000000000..59e688d70
--- /dev/null
+++ b/.claude/probes/source-behavior-v1/trace63.cc
@@ -0,0 +1,128 @@
+// Amendment 6.3 harness (TFLite Micro, reference kernels). Calls TFLM's own fixed-point
+// primitives; never re-implements them.
+//
+// stdin, one request per line:
+//   ltrace <scale_bits> <zp>          LOGISTIC int8 (out 1/256, zp -128): re-executes the loop body of
+//                                     reference_integer_ops::Logistic (integer_ops/logistic.h:27-61)
+//                                     stage by stage, ABORTS unless every byte equals the real kernel's.
+//                                     -> 256 lines: G code input radius in_q4 abs_raw am_raw core_raw
+//                                        remainder e_raw rpos_raw raw q23 byte kernel_byte
+//   softexp <scale_bits> <beta_bits>  softmax int8 prepare (PreprocessSoftmaxScaling, CalculateInputRadius)
+//                                     and, for d = -255..0, the per-difference source values:
+//                                     -> "P mult shift diff_min" then 256 lines "E d admitted rescaled exp_raw acc_raw"
+//   recip <S_raw>                     GetReciprocal(S, 12, &n) -> "R S shifted_scale n"
+#include <cmath>
+#include <cstdint>
+#include <cstdio>
+#include <cstdlib>
+#include <cstring>
+
+#include "tensorflow/lite/micro/kernels/internal/common.h"
+#include "tensorflow/lite/micro/kernels/internal/fixedpoint.h"
+#include "tensorflow/lite/micro/kernels/internal/quantization_util.h"
+#include "tensorflow/lite/micro/kernels/kernel_runner.h"
+#include "tensorflow/lite/micro/kernels/micro_ops.h"
+#include "tensorflow/lite/micro/test_helpers.h"
+
+namespace {
+using namespace tflite::micro;
+
+void LTrace(float scale, int zp) {
+  using F4 = FixedPoint<int32_t, 4>;
+  using F0 = FixedPoint<int32_t, 0>;
+  int8_t in[256], kernel[256];
+  for (int i = 0; i < 256; ++i) in[i] = static_cast<int8_t>(i - 128);
+  int dims_data[] = {2, 1, 256};
+  TfLiteIntArray* dims = tflite::testing::IntArrayFromInts(dims_data);
+  TfLiteTensor tensors[2] = {tflite::testing::CreateQuantizedTensor(in, dims, scale, zp),
+                             tflite::testing::CreateQuantizedTensor(kernel, dims, 1.0f / 256.0f, -128)};
+  int ia[] = {1, 0}, oa[] = {1, 1};
+  KernelRunner runner(tflite::Register_LOGISTIC(), tensors, 2, tflite::testing::IntArrayFromInts(ia),
+                      tflite::testing::IntArrayFromInts(oa), nullptr);
+  if (runner.InitAndPrepare() != kTfLiteOk || runner.Invoke() != kTfLiteOk) { std::printf("ERR kernel\n"); std::exit(2); }
+  // logistic_common.cc int8 prepare, same TFLM functions
+  constexpr int kInputIntegerBits = 4;
+  const double real = static_cast<double>(scale) * static_cast<double>(1 << (31 - kInputIntegerBits));
+  int shift = 0;
+  const double q = std::frexp(real, &shift);
+  const int32_t mult = static_cast<int32_t>(tflite::TfLiteRound(q * (1ll << 31)));
+  const int32_t radius = tflite::CalculateInputRadius(kInputIntegerBits, shift, 31);
+  for (int i = 0; i < 256; ++i) {
+    const int32_t input = static_cast<int32_t>(in[i]) - zp;
+    int32_t in_q4 = 0, abs_raw = 0, am_raw = 0, core_raw = 0, rem = 0, e_raw = 0, rpos_raw = 0, raw = 0, q23 = 0;
+    int byte;
+    if (input <= -radius) byte = -128;
+    else if (input >= radius) byte = 127;
+    else {
+      in_q4 = MultiplyByQuantizedMultiplier(input, mult, shift);
+      F4 a = F4::FromRaw(in_q4);
+      // logistic(): fixedpoint.h:863-876
+      const int32_t mask_if_positive = MaskIfGreaterThan(a, F4::Zero());
+      const int32_t mask_if_zero = MaskIfZero(a);
+      F4 abs_input = SelectUsingMask(mask_if_positive, a, -a);
+      abs_raw = abs_input.raw();
+      // logistic_on_positive_values(): one_over_one_plus_x(exp_on_negative_values(-abs)) (:856-858)
+      F4 neg = -abs_input;
+      // exp_on_negative_values() internals (:736-783), recorded for attribution only
+      const F4 kOneQuarter = F4::template ConstantPOT<-2>();
+      F4 mask = kOneQuarter - F4::FromScalarRaw(1);
+      F4 am = (neg & mask) - kOneQuarter;
+      am_raw = am.raw();
+      core_raw = exp_on_interval_between_negative_one_quarter_and_0_excl(Rescale<0>(am)).raw();
+      rem = (am - neg).raw();
+      F0 e = exp_on_negative_values(neg);
+      e_raw = e.raw();
+      F0 rpos = one_over_one_plus_x_for_x_in_0_1(e);
+      rpos_raw = rpos.raw();
+      F0 rneg = F0::One() - rpos;
+      const F0 one_half = F0::FromRaw(1 << 30);
+      raw = SelectUsingMask(mask_if_zero, one_half, SelectUsingMask(mask_if_positive, rpos, rneg)).raw();
+      q23 = RoundingDivideByPOT(raw, 31 - 8);  // integer_ops/logistic.h:53-54
+      int32_t c = q23 - 128;
+      byte = c < -128 ? -128 : (c > 127 ? 127 : c);
+    }
+    if (byte != kernel[i]) { std::printf("ERR ltrace %d != kernel %d at code %d\n", byte, kernel[i], i - 128); std::exit(3); }
+    std::printf("G %d %d %d %d %d %d %d %d %d %d %d %d %d %d\n", i - 128, input, radius, in_q4, abs_raw, am_raw,
+                core_raw, rem, e_raw, rpos_raw, raw, q23, byte, kernel[i]);
+  }
+}
+
+void SoftExp(float scale, float beta) {
+  using FD = FixedPoint<int32_t, 5>;  // kScaledDiffIntegerBits (softmax.h:81)
+  using F0 = FixedPoint<int32_t, 0>;
+  int32_t mult = 0;
+  int shift = 0;
+  tflite::micro::PreprocessSoftmaxScaling(static_cast<double>(beta), static_cast<double>(scale), 5, &mult, &shift);
+  const int diff_min = -1.0 * tflite::micro::CalculateInputRadius(5, shift);  // softmax_common.cc:128-130
+  std::printf("P %d %d %d\n", mult, shift, diff_min);
+  for (int d = -255; d <= 0; ++d) {
+    if (d >= diff_min) {
+      const int32_t r = MultiplyByQuantizedMultiplierGreaterThanOne(d, mult, shift);  // softmax.h:104-106
+      const F0 e = exp_on_negative_values(FD::FromRaw(r));                          // :107-110, :131
+      const int32_t acc = Rescale<12>(e).raw();                                      // :109
+      std::printf("E %d 1 %d %d %d\n", d, r, e.raw(), acc);
+    } else {
+      std::printf("E %d 0 0 0 0\n", d);
+    }
+  }
+}
+}  // namespace
+
+int main() {
+  char mode[16];
+  while (std::scanf("%15s", mode) == 1) {
+    if (std::strcmp(mode, "recip") == 0) {
+      int32_t s; if (std::scanf("%d", &s) != 1) return 1;
+      int n = 0; const int32_t r = tflite::micro::GetReciprocal(s, 12, &n);
+      std::printf("R %d %d %d\n", s, r, n);
+      continue;
+    }
+    unsigned a = 0, b = 0;
+    if (std::scanf("%x %x", &a, &b) != 2) return 1;
+    float scale; std::memcpy(&scale, &a, 4);
+    if (std::strcmp(mode, "ltrace") == 0) LTrace(scale, static_cast<int>(static_cast<int32_t>(b)));
+    else if (std::strcmp(mode, "softexp") == 0) { float beta; std::memcpy(&beta, &b, 4); SoftExp(scale, beta); }
+    std::fflush(stdout);
+  }
+  return 0;
+}