From ed88a03f51194a17b465c1d3e4a4417e6c31e869 Mon Sep 17 00:00:00 2001
From: Claude <noreply@anthropic.com>
Date: Mon, 26 Oct 2026 22:47:47 +0000
Subject: [PATCH 1/2] Authenticate the SIDE24 d = 5, 6 wrappers' mutant
 rejections

The three wrappers accepted each mutant on exit status 1 alone (status_only
in 01Cz's ledger, Math-#322). A shared helper now replays the fixed
inventory in both modes and requires, for every child, the exact exit
status, exactly one timing line on stderr, and the report measured from
the unchanged checker (or, for the two vandermonde mutants that raise the
checker's own structural guard, that exact exception). Baseline stdout
still equals RESULTS.json. No packet file changes.

Adds tools/side24_mutant_replay.py, per-family references in
tools/side24_mutant_contracts/, a whole-shell regression test run by each
wrapper in both modes, and reviews/side24_mutant_wrappers_20261026/SCOPE.md.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_017Mi3hxjaxV45x6zo6o1ee3
---
 .github/workflows/side24-d5-closed-form.yml   |  40 +-
 .github/workflows/side24-d5-coefficient.yml   |  36 +-
 .github/workflows/side24-d6-coefficient.yml   |  36 +-
 .../side24_mutant_wrappers_20261026/SCOPE.md  | 176 +++++++++
 tests/test_side24_mutant_workflows.py         | 361 ++++++++++++++++++
 .../side24-d5-closed-form.json                |   1 +
 .../side24-d5-coefficient.json                |   1 +
 .../side24-d6-coefficient.json                |   1 +
 tools/side24_mutant_replay.py                 | 166 ++++++++
 9 files changed, 762 insertions(+), 56 deletions(-)
 create mode 100644 reviews/side24_mutant_wrappers_20261026/SCOPE.md
 create mode 100644 tests/test_side24_mutant_workflows.py
 create mode 100644 tools/side24_mutant_contracts/side24-d5-closed-form.json
 create mode 100644 tools/side24_mutant_contracts/side24-d5-coefficient.json
 create mode 100644 tools/side24_mutant_contracts/side24-d6-coefficient.json
 create mode 100644 tools/side24_mutant_replay.py

diff --git a/.github/workflows/side24-d5-closed-form.yml b/.github/workflows/side24-d5-closed-form.yml
index 7c3989295..e438b0f8e 100644
--- a/.github/workflows/side24-d5-closed-form.yml
+++ b/.github/workflows/side24-d5-closed-form.yml
@@ -5,6 +5,10 @@ name: SIDE24 d5 closed form
     paths:
       - 'coefficients/side24_d5_closed_form_20260930/**'
       - '.github/workflows/side24-d5-closed-form.yml'
+      - 'tools/**'
+      - 'tools.py'
+      - 'tests/test_side24_mutant_workflows.py'
+      - 'tests/test_legacy_workflow_triggers.py'
       - 'imports/lifetime_parent_20260925/UNIFORM_MATRIX_CAP_AND_LIFETIME.md'
       - 'coefficients/side24_v1/PROOF.md'
   workflow_dispatch:
@@ -23,6 +27,13 @@ jobs:
       - uses: actions/setup-python@6d4fd22b20465ccc0f7354476588e8df7c9ca0e0
         with:
           python-version: '3.11.16'
+      - name: Check trigger coverage and the SIDE24 replay contract in both modes
+        env:
+          SIDE24_MUTANT_TEST_FAMILY: 'side24-d5-closed-form'
+          PYTHONDONTWRITEBYTECODE: '1'
+        run: |
+          python -B -S tests/test_side24_mutant_workflows.py
+          python -B -O -S tests/test_side24_mutant_workflows.py
       - name: Verify sources and pins, replay both modes, reject mutants
         env:
           PYTHONDONTWRITEBYTECODE: '1'
@@ -54,27 +65,16 @@ jobs:
               blob = hashlib.sha1(b'blob %d\0' % len(data) + data).hexdigest()
               if blob != pin['git_blob']:
                   raise ValueError('pinned source drifted: ' + pin['path'] + ' ' + blob)
-          script = str(root / 'closed_form_d4.py')
           expected = (root / 'RESULTS.json').read_bytes()
-          mutants = ['shift-variance', 'vandermonde', 'erfc-sign', 'jacobian', 'mehta', 'by-parts', 'one-erf', 'two-erf', 'jk-init', 'gauss-half', 'boundary-term', 'atom-pi', 'cumulative-init', 'cumulative-recurrence']
-          def mutant_rc(args):
-              flags, m = args
-              return m, flags, subprocess.run([sys.executable, *flags, script, '--mutant', m],
-                                              capture_output=True, timeout=600).returncode
-          for flags in (['-B', '-S'], ['-B', '-O', '-S']):
-              out = subprocess.run([sys.executable, *flags, script],
-                                   check=True, capture_output=True, timeout=600).stdout
-              if out != expected:
-                  raise RuntimeError('output differs from RESULTS.json under ' + ' '.join(flags))
-              doc = json.loads(out)
-              if not (doc['passed'] and len(doc['checks']) == 16 and all(doc['checks'].values())):
-                  raise RuntimeError('certification did not pass under ' + ' '.join(flags))
-              if doc['closed_forms']['D_4'] != '6695/54  +  -405/32 sqrt(6)  +  -1375/72 sqrt(21) pi^(-1)  +  -405/16 sqrt(6) pi^(-1) arctan(1/4 sqrt(14))  +  -6695/27 pi^(-1) arctan(1/7 sqrt(21))  +  405/16 sqrt(6) pi^(-1) arctan(1/7 sqrt(14))' or doc['closed_forms']['Z_4'] != '1536 pi^(1)':
-                  raise RuntimeError('closed form differs from the stated one')
-              with concurrent.futures.ThreadPoolExecutor(max_workers=4) as pool:
-                  for m, fl, rc in pool.map(mutant_rc, [(flags, m) for m in mutants]):
-                      if rc != 1:
-                          raise RuntimeError('mutant ' + m + ' not rejected under ' + ' '.join(fl))
+          doc = json.loads(expected)
+          if not (doc['passed'] and len(doc['checks']) == 16 and all(doc['checks'].values())):
+              raise RuntimeError('RESULTS.json is not a passing certification')
+          if doc['closed_forms']['D_4'] != '6695/54  +  -405/32 sqrt(6)  +  -1375/72 sqrt(21) pi^(-1)  +  -405/16 sqrt(6) pi^(-1) arctan(1/4 sqrt(14))  +  -6695/27 pi^(-1) arctan(1/7 sqrt(21))  +  405/16 sqrt(6) pi^(-1) arctan(1/7 sqrt(14))' or doc['closed_forms']['Z_4'] != '1536 pi^(1)':
+              raise RuntimeError('closed form differs from the stated one')
+          # Every child: exact exit status, one timing line on stderr, baseline stdout equal
+          # to RESULTS.json, each mutant's report equal to the measured one (both modes).
+          from tools.side24_mutant_replay import replay
+          replay('side24-d5-closed-form', pathlib.Path.cwd(), timeout=600)
           print(json.dumps({'scientific_effect': 'NONE', 'mathematical_acceptance': False, 'exact_identity_checked': True, 'side24_v1': 'unchanged'}))
           PY
           git diff --exit-code
diff --git a/.github/workflows/side24-d5-coefficient.yml b/.github/workflows/side24-d5-coefficient.yml
index 9f46fffa4..2c50da0ab 100644
--- a/.github/workflows/side24-d5-coefficient.yml
+++ b/.github/workflows/side24-d5-coefficient.yml
@@ -5,6 +5,10 @@ name: SIDE24 d5 coefficient
     paths:
       - 'coefficients/side24_d5_20260930/**'
       - '.github/workflows/side24-d5-coefficient.yml'
+      - 'tools/**'
+      - 'tools.py'
+      - 'tests/test_side24_mutant_workflows.py'
+      - 'tests/test_legacy_workflow_triggers.py'
       - 'imports/lifetime_parent_20260925/UNIFORM_MATRIX_CAP_AND_LIFETIME.md'
       - 'coefficients/side24_v1/PROOF.md'
       - 'coefficients/side24_v1/ENCLOSURE.json'
@@ -24,6 +28,13 @@ jobs:
       - uses: actions/setup-python@6d4fd22b20465ccc0f7354476588e8df7c9ca0e0
         with:
           python-version: '3.11.16'
+      - name: Check trigger coverage and the SIDE24 replay contract in both modes
+        env:
+          SIDE24_MUTANT_TEST_FAMILY: 'side24-d5-coefficient'
+          PYTHONDONTWRITEBYTECODE: '1'
+        run: |
+          python -B -S tests/test_side24_mutant_workflows.py
+          python -B -O -S tests/test_side24_mutant_workflows.py
       - name: Verify sources and pins, replay both modes, reject mutants
         env:
           PYTHONDONTWRITEBYTECODE: '1'
@@ -61,25 +72,14 @@ jobs:
           for d in ('2', '3'):
               if ('"%s", "%s"' % (enc[d]['lower'], enc[d]['upper'])) not in src:
                   raise ValueError('SIDE24 d = ' + d + ' enclosure quoted in the script differs from ENCLOSURE.json')
-          script = str(root / 'cone_moment_d5.py')
           expected = (root / 'RESULTS.json').read_bytes()
-          mutants = ['shift-variance', 'vandermonde', 'erfc-branch', 'remainder-dropped', 'mehta', 'sphere-area', 'image-shells', 'sandwich-exponent', 'recurrence', 'jacobian', 'cumulative-half']
-          def mutant_rc(args):
-              flags, m = args
-              return m, flags, subprocess.run([sys.executable, *flags, script, '--mutant', m],
-                                              capture_output=True, timeout=1500).returncode
-          for flags in (['-B', '-S'], ['-B', '-O', '-S']):
-              out = subprocess.run([sys.executable, *flags, script],
-                                   check=True, capture_output=True, timeout=1500).stdout
-              if out != expected:
-                  raise RuntimeError('output differs from RESULTS.json under ' + ' '.join(flags))
-              doc = json.loads(out)
-              if not (doc['passed'] and len(doc['checks']) == 13 and all(doc['checks'].values())):
-                  raise RuntimeError('certification did not pass under ' + ' '.join(flags))
-              with concurrent.futures.ThreadPoolExecutor(max_workers=4) as pool:
-                  for m, fl, rc in pool.map(mutant_rc, [(flags, m) for m in mutants]):
-                      if rc != 1:
-                          raise RuntimeError('mutant ' + m + ' not rejected under ' + ' '.join(fl))
+          doc = json.loads(expected)
+          if not (doc['passed'] and len(doc['checks']) == 13 and all(doc['checks'].values())):
+              raise RuntimeError('RESULTS.json is not a passing certification')
+          # Every child: exact exit status, one timing line on stderr, baseline stdout equal
+          # to RESULTS.json, each mutant's report equal to the measured one (both modes).
+          from tools.side24_mutant_replay import replay
+          replay('side24-d5-coefficient', pathlib.Path.cwd(), timeout=1500)
           print(json.dumps({'scientific_effect': 'NONE', 'mathematical_acceptance': False, 'certified_enclosures': True, 'side24_v1': 'unchanged'}))
           PY
           git diff --exit-code
diff --git a/.github/workflows/side24-d6-coefficient.yml b/.github/workflows/side24-d6-coefficient.yml
index 6059c2ecd..7a851d9a4 100644
--- a/.github/workflows/side24-d6-coefficient.yml
+++ b/.github/workflows/side24-d6-coefficient.yml
@@ -5,6 +5,10 @@ name: SIDE24 d6 coefficient
     paths:
       - 'coefficients/side24_d6_20260930/**'
       - '.github/workflows/side24-d6-coefficient.yml'
+      - 'tools/**'
+      - 'tools.py'
+      - 'tests/test_side24_mutant_workflows.py'
+      - 'tests/test_legacy_workflow_triggers.py'
       - 'imports/lifetime_parent_20260925/UNIFORM_MATRIX_CAP_AND_LIFETIME.md'
       - 'coefficients/side24_v1/PROOF.md'
       - 'coefficients/side24_v1/ENCLOSURE.json'
@@ -24,6 +28,13 @@ jobs:
       - uses: actions/setup-python@6d4fd22b20465ccc0f7354476588e8df7c9ca0e0
         with:
           python-version: '3.11.16'
+      - name: Check trigger coverage and the SIDE24 replay contract in both modes
+        env:
+          SIDE24_MUTANT_TEST_FAMILY: 'side24-d6-coefficient'
+          PYTHONDONTWRITEBYTECODE: '1'
+        run: |
+          python -B -S tests/test_side24_mutant_workflows.py
+          python -B -O -S tests/test_side24_mutant_workflows.py
       - name: Verify sources and pins, replay both modes, reject mutants
         env:
           PYTHONDONTWRITEBYTECODE: '1'
@@ -61,25 +72,14 @@ jobs:
           for d in ('2', '3'):
               if ('"%s", "%s"' % (enc[d]['lower'], enc[d]['upper'])) not in src:
                   raise ValueError('SIDE24 d = ' + d + ' enclosure quoted in the script differs from ENCLOSURE.json')
-          script = str(root / 'cone_moment_d6.py')
           expected = (root / 'RESULTS.json').read_bytes()
-          mutants = ['shift-variance', 'vandermonde', 'erfc-branch', 'jacobian', 'mehta', 'recurrence', 'layer-init', 'two-erf', 'cumulative-half', 'remainder-dropped', 'erf-inside', 'tail-dropped', 'image-shells', 'sandwich-exponent']
-          def mutant_rc(args):
-              flags, m = args
-              return m, flags, subprocess.run([sys.executable, *flags, script, '--mutant', m],
-                                              capture_output=True, timeout=3000).returncode
-          for flags in (['-B', '-S'], ['-B', '-O', '-S']):
-              out = subprocess.run([sys.executable, *flags, script],
-                                   check=True, capture_output=True, timeout=3000).stdout
-              if out != expected:
-                  raise RuntimeError('output differs from RESULTS.json under ' + ' '.join(flags))
-              doc = json.loads(out)
-              if not (doc['passed'] and len(doc['checks']) == 20 and all(doc['checks'].values())):
-                  raise RuntimeError('certification did not pass under ' + ' '.join(flags))
-              with concurrent.futures.ThreadPoolExecutor(max_workers=4) as pool:
-                  for m, fl, rc in pool.map(mutant_rc, [(flags, m) for m in mutants]):
-                      if rc != 1:
-                          raise RuntimeError('mutant ' + m + ' not rejected under ' + ' '.join(fl))
+          doc = json.loads(expected)
+          if not (doc['passed'] and len(doc['checks']) == 20 and all(doc['checks'].values())):
+              raise RuntimeError('RESULTS.json is not a passing certification')
+          # Every child: exact exit status, one timing line on stderr, baseline stdout equal
+          # to RESULTS.json, each mutant's report equal to the measured one (both modes).
+          from tools.side24_mutant_replay import replay
+          replay('side24-d6-coefficient', pathlib.Path.cwd(), timeout=3000)
           print(json.dumps({'scientific_effect': 'NONE', 'mathematical_acceptance': False, 'certified_enclosures': True, 'side24_v1': 'unchanged'}))
           PY
           git diff --exit-code
diff --git a/reviews/side24_mutant_wrappers_20261026/SCOPE.md b/reviews/side24_mutant_wrappers_20261026/SCOPE.md
new file mode 100644
index 000000000..e842dacb3
--- /dev/null
+++ b/reviews/side24_mutant_wrappers_20261026/SCOPE.md
@@ -0,0 +1,176 @@
+# SIDE24 d = 5, 6 mutant wrappers: authenticate the intended rejections
+
+Dylan Roy — delegated AI engineering. Actual author: Anthropic Claude, session
+`session_017Mi3hxjaxV45x6zo6o1ee3` (Claude017), stage
+`SIDE24-WRAPPERS-REPAIR-017-20261026`, pickup Math-#322/6427944196. Dylan approved
+this stage in the author's session at about 21:30Z on 26 October 2026. This session
+wrote the three packets. Scientific effect NONE; shared-account organizational
+credit 0. Author-side implementation only: a separate nonauthor engineering review
+and a separate integrator are required. No mathematical acceptance is asserted.
+
+The method is the one C8 used for its own wrappers in #518/#519
+(`reviews/c8_check_mode_wrappers_20261026/SCOPE.md`). The helper, references and
+test are new, separate files, and C8's `tools/check_mode_*` and
+`tests/test_check_mode_workflows.py` are untouched.
+
+## Finding and exact source
+
+01Cz's ledger (Math-#322/6388271177) classifies all three wrappers as
+`status_only`. Each mutant was accepted on exit status 1 alone, with its stdout and
+stderr discarded. So an unrelated crash, a silent exit 1, or a report that fails
+for another reason counted as an intended rejection. The baseline was already
+compared byte for byte with `RESULTS.json`, but its stderr was discarded.
+
+| Object | Identity |
+|---|---|
+| Math- `main` at characterization and branch base | `7d63d08f6cfadfd9c2ef28039a370d741126f9a0` (the merge of #519) |
+| `side24-d5-closed-form.yml` before | blob `7c39892950068e1e7f9c9e0f4c1897cfbdfb3a30` |
+| `side24-d5-coefficient.yml` before | blob `9f46fffa48b4162356bbe269e54f68602deef1c6` |
+| `side24-d6-coefficient.yml` before | blob `6059c2ecde9e7edf4fda1efeece3ce964483e322` |
+| `closed_form_d4.py` (unchanged) | blob `e087f4c0007ae2473d28230771588da57f794aab`, 45,019 B |
+| `cone_moment_d5.py` (unchanged) | blob `9d918805865031c8ef9ae5d4d0c3266e1a396a98`, 46,082 B |
+| `cone_moment_d6.py` (unchanged) | blob `c5e56694d96c885373a7b70868259eeb9fdfa746`, 68,731 B |
+| d=5 closed-form `RESULTS.json` (unchanged) | 16,765 B, SHA-256 `b878c1d3534a1ce72f01bb461a06b8777888bc0a5fdd9413fc1a4f8a565a2bb3` |
+| d=5 coefficient `RESULTS.json` (unchanged) | 5,435 B, SHA-256 `81c4bc072b7eab4d2f1725b3d873076dac6bc31ab1a06779d3299d9e81b3cbaf` |
+| d=6 coefficient `RESULTS.json` (unchanged) | 8,319 B, SHA-256 `82d1c19f9f503fd9211c6dcf356ec62aee9ec9eda44792bc38be4f3690637832` |
+
+The three packet trees are `d2e9f088`, `dc7dfac0` and `dcbeffef`. The ledger read
+the workflows at `d1f6ad28` as blobs `40fe9334`, `93ac2e5e` and `c45d9a5a`. The
+only change since is 2c041de (24 October), which moved each file's
+`actions/setup-python` pin from `5fda3b95` to `6d4fd22b`. The mutant logic the
+ledger classified is unchanged. The imported `tools/legacy_json_replay.py` (blob
+`854db466`) and `tests/test_legacy_workflow_triggers.py` (blob `c2e37a3a`) are
+the blobs every local run below used.
+
+## Repair and preservation
+
+Eight files: `tools/side24_mutant_replay.py`, the three files in
+`tools/side24_mutant_contracts/` and `tests/test_side24_mutant_workflows.py` (all
+new), the three workflows, and this note.
+
+`tools/side24_mutant_replay.py` follows `tools/legacy_json_replay.py` and reuses
+that module's strict JSON reader and structural comparison instead of copying
+them. For each family it binds the checker's git blob and the `RESULTS.json` size
+and digest. It then runs the fixed inventory in both modes, exactly as the old
+wrappers did: from the repository root, with the absolute script path, and with
+`<script>` and `<script> --mutant M`. For every child it requires the following:
+
+- **Baseline:** exit 0, stdout byte-equal to `RESULTS.json`, and stderr exactly
+  one timing line `seconds N.N`.
+- **Report mutant:** exit 1, stderr exactly one timing line, and one strict JSON
+  report on stdout that is structurally equal to the report measured from the
+  unchanged checker.
+- **Guard mutant:** exit 1, empty stdout, and a stderr that starts with
+  `Traceback (most recent call last):`, ends with the measured final exception
+  line, and carries no timing line.
+
+The references are in one file per family, because the d=5 closed-form reports
+alone take 139 KB compactly and the strict reader caps a document at 256 KB.
+
+Each workflow now calls `replay()` in place of its own exit-only loop. It gains
+one earlier step that runs `tests/test_side24_mutant_workflows.py` for its own
+family in both modes. It also gains the trigger paths for the helper and its
+inputs (`tools/**`, `tools.py`), for that test, and for
+`tests/test_legacy_workflow_triggers.py`, whose strict path reader the test
+reuses.
+
+Unchanged:
+- the source block before any child: the packet manifest, the main-resident pins
+  and, for d=5 and d=6, the quoted d=2, 3 enclosures;
+- the `RESULTS.json` certification checks (16, 13 and 20 checks, and the d=5
+  closed forms), which now run once on the committed bytes. Each mode's baseline
+  stdout must still equal those bytes;
+- the action pins, read-only permissions, `persist-credentials: false`, Python
+  3.11.16 and the job budgets (15, 60 and 120 minutes);
+- the per-child timeouts (600, 1500 and 3000 s), the four workers, the mutant
+  order within each mode and the terminal record;
+- the final `git diff --exit-code`;
+- every packet file.
+
+One ordering detail changes. The old wrappers ran each mode's baseline and then
+that mode's mutants. The helper runs each mode's baseline together with its
+mutants in one pool, and it checks every child of that mode before starting the
+next mode.
+
+## Disclosed deviations from #519
+
+1. **Timing line on stderr.** These checkers print `seconds N.N` on stderr in
+   every run that reaches a report, so the contract requires exactly that one
+   line. It does not require empty stderr. The pickup said "empty stderr", and
+   this is the measured behaviour instead. No other byte is allowed.
+2. **Guard references.** In the d=5 closed-form family and the d=6 family, the
+   `vandermonde` mutant never reaches a report. The checker's own structural
+   guard raises
+   `ValueError: an even p3-power occurred; J_k would carry an error function`
+   (d=5 closed form) and the same exception text in the d=6 checker. The reference for these is that guard
+   only: exit 1, empty stdout, a traceback ending in that exact line. The d=5
+   coefficient `vandermonde` reaches a report and is a report reference.
+   This means the old wrappers' `vandermonde` rejection in those two families was
+   never a failing check. It was an exception, and the repaired wrappers pin
+   which one.
+
+## The contract
+
+| Family | Report references | Guard references |
+|---|---|---|
+| `side24-d5-closed-form` | 13 | 1 (`vandermonde`) |
+| `side24-d5-coefficient` | 11 | 0 |
+| `side24-d6-coefficient` | 13 | 1 (`vandermonde`) |
+
+Every report reference has `passed: false`, its own label, and at least one false
+check. Each mutant fails a different set of checks, and the references pin the
+whole report, so a failure for another reason, a crash, a silent exit, extra
+stderr, or a report for another label is rejected.
+
+## Execution and non-vacuous regressions
+
+All of the following ran locally on CPython 3.11.15, with `main` `7d63d08f`
+characterized and the branch cut from it.
+
+- **Characterization:** the unchanged checkers, in both modes, exactly as the
+  wrappers ran them. Every normal and optimized stdout is byte-identical. Every
+  baseline stdout equals `RESULTS.json`. The exit statuses are as above. Locally
+  a d=5 closed-form child takes about 1–3 s, a d=5 coefficient child about 80 s
+  and a d=6 child about 175 s.
+- **Real checkers through the helper:** `replay()` on the three actual packets
+  gave `protocol_ok` for every child: 30 for d=5 closed form in 41 s,
+  24 for d=5 coefficient in 16.9 minutes with two workers, and 30 for d=6 in
+  25.3 minutes with the workflow's four workers. All under the per-child timeouts.
+- **This test file:** 14 tests OK in both modes for each family as the workflow
+  step runs it (about 56 s, 40 s and 42 s per mode), and 14 tests OK in both modes for all three
+  families together under the full suite's discovery (about 110 s per mode).
+- **RED control:** the same tests, with `SIDE24_MUTANT_SOURCE_ROOT` set to
+  unchanged `main`, run each old wrapper shell against the same fixture. They
+  give these false acceptances:
+
+  | Test | d=5 closed form | d=5 coefficient | d=6 |
+  |---|---|---|---|
+  | crashes (every mutant, both modes) | 28 | 22 | 28 |
+  | other guard faults (another exception, stdout, timing line, silent) | 8 | 0 | 8 |
+  | silent exits, wrong values, wrong label | 10 | 10 | 10 |
+  | report JSON and stderr faults | 16 | 16 | 16 |
+  | baseline stderr | 2 | 2 | 2 |
+  | **total** | **64** | **50** | **64** |
+
+  The wrong exit statuses, baseline byte drift and baseline crashes were already
+  rejected there and still are. The trigger, step and import tests fail there
+  too, as expected.
+- **Real-checker RED control:** a copy of `closed_form_d4.py` that raises an
+  unrelated `RuntimeError` on `--mutant jacobian` gives exit 1 in both modes. The
+  old acceptance rule accepts it. The helper's `_check` with the real reference
+  rejects it.
+- **Repository suites:** the 44 test modules that read workflow files pass on the
+  branch except `test_proof_slice_check`, which fails with the same 20 failures
+  and errors on unchanged `main` in this container. They differ only in synthetic
+  commit IDs, so the failure is local and independent of this change.
+
+## Limits
+
+- The local interpreter is 3.11.15, not the hosted 3.11.16. The hosted runs are
+  the qualifying execution.
+- The synthetic fixture uses a one-entry pin list and a minimal manifest. The real
+  pins run only in the real hosted job.
+- The other `status_only` SIDE24 wrappers in the ledger
+  (`side24-periodization-firstvar`, `side24-periodization-remainder`,
+  `side24-v1-coefficient-review`) are not this session's packets and are not in
+  this stage.
diff --git a/tests/test_side24_mutant_workflows.py b/tests/test_side24_mutant_workflows.py
new file mode 100644
index 000000000..cb2d77e21
--- /dev/null
+++ b/tests/test_side24_mutant_workflows.py
@@ -0,0 +1,361 @@
+"""Synthetic whole-shell regressions for the SIDE24 d = 5, 6 mutant wrappers.
+
+The fixture commits a synthetic checker, the real RESULTS.json, a manifest and an
+upstream pin, then runs the actual verification step of each wrapper with real
+subprocesses. The synthetic checker replays the reports measured from the
+unchanged checkers (tools/side24_mutant_contracts/). Each named fault must be
+rejected and harmless reformatting accepted. Each wrapper's trigger paths, step
+order and import line are also checked. This is protocol coverage, not a field
+calculation.
+"""
+from __future__ import annotations
+
+import hashlib
+import json
+import os
+from pathlib import Path
+import shutil
+import subprocess
+import sys
+import tempfile
+import textwrap
+import unittest
+
+from test_legacy_workflow_triggers import covered, trigger_paths
+
+ROOT = Path(__file__).resolve().parents[1]
+sys.path.insert(0, str(ROOT))
+from tools.legacy_json_replay import ProtocolError  # noqa: E402
+from tools import side24_mutant_replay as helper  # noqa: E402
+
+SELF = 'tests/test_side24_mutant_workflows.py'
+SOURCE = Path(os.environ.get('SIDE24_MUTANT_SOURCE_ROOT', str(ROOT)))
+CONTRACTS = {f: json.loads((ROOT / 'tools/side24_mutant_contracts' / (f + '.json')).read_text())
+             for f in helper.INVENTORIES}
+ACTIVE = [f for f in helper.INVENTORIES
+          if not os.environ.get('SIDE24_MUTANT_TEST_FAMILY') or f == os.environ['SIDE24_MUTANT_TEST_FAMILY']]
+if not ACTIVE:
+    raise SystemExit('unknown test family')
+MODES = ('normal', 'optimized')
+VERIFY = '      - name: Verify sources and pins, replay both modes, reject mutants'
+STEP = (
+    '      - name: Check trigger coverage and the SIDE24 replay contract in both modes\n'
+    '        env:\n'
+    "          SIDE24_MUTANT_TEST_FAMILY: '%s'\n"
+    "          PYTHONDONTWRITEBYTECODE: '1'\n"
+    '        run: |\n'
+    '          python -B -S ' + SELF + '\n'
+    '          python -B -O -S ' + SELF + '\n'
+)
+ENCLOSURE = 'coefficients/side24_v1/ENCLOSURE.json'
+
+CHILD = r'''
+import builtins, json, os, sys
+# QUOTES
+here = os.path.dirname(os.path.abspath(__file__))
+refs = json.loads(open(os.path.join(here, 'REFERENCES.txt')).read())
+args = sys.argv[1:]
+if args and not (len(args) == 2 and args[0] == '--mutant'):
+    sys.stderr.write('unexpected arguments\n')
+    sys.exit(3)
+label = args[1] if args else 'baseline'
+mode = 'optimized' if sys.flags.optimize else 'normal'
+with open(os.environ['SIDE24_TRACE'], 'a') as f:
+    f.write(json.dumps([label, mode, os.getcwd()]) + '\n')
+kind = os.environ.get('SIDE24_FAULT', '') if (
+    os.environ.get('SIDE24_TARGET') == label and os.environ.get('SIDE24_MODE') == mode) else ''
+timing = 'seconds 0.1\n'
+if kind == 'crash':
+    raise RuntimeError('unrelated fixture crash')
+if kind == 'silent':
+    sys.exit(0 if label == 'baseline' else 1)
+if label == 'baseline':
+    out = open(os.path.join(here, 'RESULTS.json'), 'rb').read()
+    if kind == 'baseline-byte':
+        out = out[:-2] + b' \n'
+    sys.stdout.buffer.write(out)
+    sys.stderr.write(timing + ('unexpected diagnostic\n' if kind == 'stderr' else ''))
+    sys.exit(1 if kind == 'wrong-exit' else 0)
+ref = refs[label]
+if ref['kind'] == 'guard':
+    if kind == 'guard-stdout':
+        print(json.dumps({'mutant': label, 'passed': False}))
+    if kind == 'guard-other':
+        raise ValueError('an unrelated failure')
+    if kind == 'timing':
+        sys.stderr.write(timing)
+    name, _, text = ref['final_line'].partition(': ')
+    raise getattr(builtins, name)(text)
+report = ref['report']
+text = json.dumps(report) + '\n'
+if kind == 'wrong-value':
+    checks = dict(report['checks'])
+    first = next(k for k, v in checks.items() if v is False)
+    checks[first] = True
+    text = json.dumps(dict(report, checks=checks)) + '\n'
+if kind == 'wrong-label':
+    text = json.dumps(dict(report, mutant='another-mutant')) + '\n'
+if kind == 'format':
+    text = ' \n' + json.dumps(report, indent=3, sort_keys=True) + '\n\t'
+if kind == 'duplicate':
+    text = text.rstrip()[:-1] + ', "passed": false}\n'
+if kind == 'nonfinite':
+    text = text.rstrip()[:-1] + ', "unexpected": NaN}\n'
+if kind == 'trailing':
+    text += '{}\n'
+if kind == 'extra':
+    text = json.dumps(dict(report, unexpected='x')) + '\n'
+if kind == 'missing':
+    text = json.dumps({k: v for k, v in report.items() if k != 'checks'}) + '\n'
+if kind == 'malformed':
+    text = 'not JSON\n'
+sys.stdout.write(text)
+sys.stderr.write('' if kind == 'no-timing' else timing + ('unexpected diagnostic\n' if kind == 'stderr' else ''))
+sys.exit(2 if kind == 'wrong-exit' else 1)
+'''
+
+
+def digest(data):
+    return hashlib.sha256(data).hexdigest()
+
+
+def blob(data):
+    return hashlib.sha1(b'blob %d\0' % len(data) + data).hexdigest()
+
+
+def row(path, data):
+    return {'path': path, 'bytes': len(data), 'sha256': digest(data), 'git_blob': blob(data)}
+
+
+def workflow_text(family, source=SOURCE):
+    return (source / '.github/workflows' / (family + '.yml')).read_text(encoding='utf-8')
+
+
+def verification_shell(text):
+    lines = text.splitlines()
+    start = next(i for i, line in enumerate(lines) if line.startswith(VERIFY))
+    start = next(i for i in range(start, len(lines)) if lines[i].strip() == 'run: |') + 1
+    end = start
+    while end < len(lines) and (not lines[end].strip() or lines[end].startswith('          ')):
+        end += 1
+    return textwrap.dedent('\n'.join(lines[start:end])) + '\n'
+
+
+def labels(family, kind):
+    return [m for m in helper.INVENTORIES[family] if CONTRACTS[family]['mutants'][m]['kind'] == kind]
+
+
+class SIDE24WorkflowTests(unittest.TestCase):
+    maxDiff = None
+
+    def case(self, family, label='baseline', mode='normal', fault='', tamper=None):
+        with tempfile.TemporaryDirectory(prefix='side24-mutant-test-') as td:
+            outside = Path(td)
+            repo = outside / 'repo'
+            trace = outside / 'trace'
+            entry = json.loads(json.dumps(CONTRACTS[family]))
+            directory = repo / entry['directory']
+            directory.mkdir(parents=True)
+            enclosure = (ROOT / ENCLOSURE).read_bytes()
+            (repo / ENCLOSURE).parent.mkdir(parents=True, exist_ok=True)
+            (repo / ENCLOSURE).write_bytes(enclosure)
+            dims = json.loads(enclosure)['dimensions']
+            quotes = ' '.join('"%s", "%s"' % (dims[d]['lower'], dims[d]['upper']) for d in ('2', '3'))
+            data = CHILD.replace('# QUOTES', '# ' + quotes).encode()
+            (directory / entry['script']).write_bytes(data)
+            results = (ROOT / entry['directory'] / 'RESULTS.json').read_bytes()
+            (directory / 'RESULTS.json').write_bytes(results)
+            references = json.dumps(entry['mutants']).encode()
+            (directory / 'REFERENCES.txt').write_bytes(references)
+            upstream = b'synthetic upstream; no scientific authority\n'
+            (repo / 'upstream.txt').write_bytes(upstream)
+            manifest = {'files': [row(entry['script'], data), row('RESULTS.json', results),
+                                  row('REFERENCES.txt', references)],
+                        'pins_on_main': [dict(row('upstream.txt', upstream), label='U',
+                                              workflow_checked=True)]}
+            (directory / 'SOURCE_FILES.json').write_text(json.dumps(manifest))
+            (repo / 'tools/side24_mutant_contracts').mkdir(parents=True)
+            for name in ('side24_mutant_replay.py', 'legacy_json_replay.py'):
+                if (SOURCE / 'tools' / name).exists():
+                    shutil.copyfile(SOURCE / 'tools' / name, repo / 'tools' / name)
+            # Only the checker identity is re-bound for this synthetic fixture.
+            entry['script_git_blob'] = blob(data)
+            (repo / 'tools/side24_mutant_contracts' / (family + '.json')).write_text(json.dumps(entry))
+            env = os.environ.copy()
+            env.update({'SIDE24_TRACE': str(trace), 'SIDE24_TARGET': label, 'SIDE24_MODE': mode,
+                        'SIDE24_FAULT': fault, 'PYTHONDONTWRITEBYTECODE': '1'})
+            for cmd in (['git', 'init', '-q'], ['git', 'add', '.'],
+                        ['git', '-c', 'user.name=Fixture', '-c', 'user.email=fixture@example.invalid',
+                         '-c', 'commit.gpgsign=false', 'commit', '-qm', 'synthetic fixture']):
+                subprocess.run(cmd, cwd=repo, check=True, capture_output=True, timeout=15, env=env)
+            if tamper == 'packet':
+                (directory / entry['script']).write_bytes(data + b'\n')
+            if tamper == 'upstream':
+                (repo / 'upstream.txt').write_bytes(upstream + b'x')
+            shell = verification_shell(workflow_text(family))
+            result = subprocess.run(['bash', '-c', shell], cwd=repo, env=env, capture_output=True, timeout=120)
+            events = [json.loads(s) for s in trace.read_text().splitlines()] if trace.exists() else []
+            return result, events, str(repo.resolve())
+
+    def rejected(self, family, label, mode, fault):
+        result, events, _ = self.case(family, label, mode, fault)
+        self.assertNotEqual(result.returncode, 0, (family, label, mode, fault, 'false acceptance'))
+        self.assertIn([label, mode], [e[:2] for e in events], (family, label, mode, fault, events))
+        if b'SIDE24 protocol mismatch' in result.stderr:
+            self.assertIn(('%s/%s/%s' % (family, mode, label)).encode(), result.stderr)
+
+    def test_reference_custody(self):
+        for family in ACTIVE:
+            entry = helper._contract(family)
+            packet = SOURCE / entry['directory']
+            with self.subTest(family=family):
+                self.assertEqual(blob((packet / entry['script']).read_bytes()), entry['script_git_blob'])
+                results = (packet / 'RESULTS.json').read_bytes()
+                self.assertEqual((len(results), digest(results)), (entry['results_bytes'], entry['results_sha256']))
+
+    def test_valid_complete_inventory(self):
+        for family in ACTIVE:
+            with self.subTest(family=family):
+                result, events, repo = self.case(family)
+                self.assertEqual(result.returncode, 0, result.stderr.decode(errors='replace'))
+                expected = [[label, mode, repo] for mode in MODES
+                            for label in ['baseline', *helper.INVENTORIES[family]]]
+                self.assertEqual(sorted(events), sorted(expected))
+                self.assertEqual([e[1] for e in events], [e[1] for e in expected])
+
+    def test_formatting_alone_is_accepted(self):
+        for family in ACTIVE:
+            label = labels(family, 'report')[0]
+            with self.subTest(family=family):
+                result, _, _ = self.case(family, label, 'optimized', 'format')
+                self.assertEqual(result.returncode, 0, result.stderr.decode(errors='replace'))
+
+    def test_crashes_each_mutant_each_mode(self):
+        for family in ACTIVE:
+            for label in helper.INVENTORIES[family]:
+                for mode in MODES:
+                    with self.subTest(family=family, label=label, mode=mode):
+                        self.rejected(family, label, mode, 'crash')
+
+    def test_silent_exits_and_wrong_verdicts(self):
+        for family in ACTIVE:
+            first, last = labels(family, 'report')[0], labels(family, 'report')[-1]
+            for label, fault in ((first, 'silent'), (last, 'silent'), (first, 'wrong-value'),
+                                 (last, 'wrong-value'), (first, 'wrong-label')):
+                for mode in MODES:
+                    with self.subTest(family=family, label=label, fault=fault, mode=mode):
+                        self.rejected(family, label, mode, fault)
+
+    def test_report_contract(self):
+        for family in ACTIVE:
+            label = labels(family, 'report')[0]
+            for fault in ('stderr', 'no-timing', 'wrong-exit', 'duplicate', 'nonfinite', 'trailing', 'extra',
+                          'missing', 'malformed'):
+                for mode in MODES:
+                    with self.subTest(family=family, fault=fault, mode=mode):
+                        self.rejected(family, label, mode, fault)
+
+    def test_guard_contract(self):
+        for family in ACTIVE:
+            for label in labels(family, 'guard'):
+                for fault in ('guard-other', 'guard-stdout', 'timing', 'silent'):
+                    for mode in MODES:
+                        with self.subTest(family=family, label=label, fault=fault, mode=mode):
+                            self.rejected(family, label, mode, fault)
+
+    def test_baseline_contract(self):
+        for family in ACTIVE:
+            for fault in ('baseline-byte', 'stderr', 'wrong-exit', 'crash', 'silent'):
+                for mode in MODES:
+                    with self.subTest(family=family, fault=fault, mode=mode):
+                        self.rejected(family, 'baseline', mode, fault)
+
+    def test_source_guards_run_before_any_child(self):
+        for family in ACTIVE:
+            for tamper in ('packet', 'upstream'):
+                with self.subTest(family=family, tamper=tamper):
+                    result, events, _ = self.case(family, tamper=tamper)
+                    self.assertNotEqual(result.returncode, 0)
+                    self.assertEqual(events, [])
+
+
+class HelperTests(unittest.TestCase):
+    def test_timeout_is_a_failure(self):
+        family = ACTIVE[0]
+        with tempfile.TemporaryDirectory() as td:
+            repo = Path(td)
+            entry = CONTRACTS[family]
+            packet = repo / entry['directory']
+            packet.mkdir(parents=True)
+            data = b'import time\ntime.sleep(5)\n'
+            (packet / entry['script']).write_bytes(data)
+            results = b'{}\n'
+            (packet / 'RESULTS.json').write_bytes(results)
+            refs = repo / 'refs'
+            refs.mkdir()
+            (refs / (family + '.json')).write_text(json.dumps(dict(
+                entry, script_git_blob=blob(data), results_bytes=len(results), results_sha256=digest(results))))
+            with self.assertRaisesRegex(ProtocolError, 'protocol mismatch: %s/normal/' % family):
+                helper.replay(family, repo, timeout=1, contracts=refs)
+
+    def test_reference_schema(self):
+        family = ACTIVE[0]
+        data = CONTRACTS[family]
+        report = labels(family, 'report')[0]
+        with tempfile.TemporaryDirectory() as td:
+            path = Path(td)
+            bad = path / (family + '.json')
+            entry = dict(data, mutants=dict(data['mutants']))
+            entry['mutants'].pop(report)
+            bad.write_text(json.dumps(entry))
+            with self.assertRaisesRegex(ProtocolError, 'missing, extra'):
+                helper._contract(family, path)
+            entry['mutants'] = dict(data['mutants'])
+            entry['mutants'][report] = {'kind': 'report',
+                                        'report': dict(data['mutants'][report]['report'], passed=True)}
+            bad.write_text(json.dumps(entry))
+            with self.assertRaisesRegex(ProtocolError, 'not a rejection report'):
+                helper._contract(family, path)
+            other = next(f for f in helper.INVENTORIES if f != family)
+            bad.write_text(json.dumps(dict(data, family=other)))
+            with self.assertRaisesRegex(ProtocolError, 'family reference schema'):
+                helper._contract(family, path)
+            bad.write_text(json.dumps(data)[:-1] + ', "schema": 1}')
+            with self.assertRaises(ProtocolError):
+                helper._contract(family, path)
+
+
+class SIDE24TriggerTests(unittest.TestCase):
+    def test_paths_cover_the_helper_its_inputs_and_these_tests(self):
+        for family in ACTIVE:
+            paths = trigger_paths(workflow_text(family))
+            entry = CONTRACTS[family]
+            for path in (entry['directory'] + '/' + entry['script'], '.github/workflows/%s.yml' % family,
+                         'tools/side24_mutant_replay.py', 'tools/side24_mutant_contracts/%s.json' % family,
+                         'tools/legacy_json_replay.py', 'tools/__init__.py', 'tools.py', SELF,
+                         'tests/test_legacy_workflow_triggers.py'):
+                with self.subTest(family=family, path=path):
+                    self.assertTrue(covered(paths, path), 'consumed or regression path is uncovered')
+
+    def test_contract_step_runs_in_both_modes_before_the_replay(self):
+        for family in ACTIVE:
+            text = workflow_text(family)
+            with self.subTest(family=family):
+                step = STEP % family
+                self.assertEqual(text.count(step), 1)
+                self.assertLess(text.index(step), text.index(VERIFY))
+
+    def test_the_replay_is_the_only_mutant_path_and_names_its_family(self):
+        for family in ACTIVE:
+            shell = verification_shell(workflow_text(family))
+            with self.subTest(family=family):
+                lines = [line for line in shell.splitlines() if 'side24_mutant_replay' in line]
+                self.assertEqual(lines, ['from tools.side24_mutant_replay import replay'])
+                self.assertEqual(shell.count("replay('%s', pathlib.Path.cwd(), timeout=" % family), 1)
+                self.assertNotIn('.returncode', shell)
+                self.assertNotIn('--mutant', shell)
+                self.assertLess(shell.index('pins_on_main'), shell.index('import replay'))
+
+
+if __name__ == '__main__':
+    unittest.main()
diff --git a/tools/side24_mutant_contracts/side24-d5-closed-form.json b/tools/side24_mutant_contracts/side24-d5-closed-form.json
new file mode 100644
index 000000000..f86c37a69
--- /dev/null
+++ b/tools/side24_mutant_contracts/side24-d5-closed-form.json
@@ -0,0 +1 @@
+{"directory":"coefficients/side24_d5_closed_form_20260930","family":"side24-d5-closed-form","mutants":{"atom-pi":{"kind":"report","report":{"certified":true,"certified_enclosures_math_200":{"D_4":["14.2187634589773576013064656778740783173406003782976930345926","14.2187634589773576013064656778740783173406042538663501338228"],"c_5_ref":["0.0132193193800849680760334875146413965210528883241234179643777","0.0132193193800849680760334875146413965210528919272763929401087"]},"checks":{"BASE_INTEGRALS_FLOAT":true,"C5_CLOSED":true,"CUMULATIVE_EXACT":true,"D1_EXACT":true,"D2_EXACT":true,"D3_EXACT":false,"D4_FORM":true,"D4_INSIDE_CERTIFIED":true,"GAUSS_MOMENTS":true,"JK_EXACT":true,"LIBRARY_EXACT":true,"MEHTA_Z4_EXACT":true,"MOMENTS_FLOAT":false,"PINNED":true,"SIMPLIFIED_FORM":true,"STRUCTURE":true},"closed_forms":{"D_1":"4/3","D_2":"29/6  +  -1 sqrt(6)","D_3":"400/27  +  -76/3 pi^(-1)  +  -200/9 pi^(-1) arctan(1/2)","D_4":"6695/54  +  -405/32 sqrt(6)  +  -1375/72 sqrt(21) pi^(-1)  +  -405/16 sqrt(6) pi^(-1) arctan(1/4 sqrt(14))  +  -6695/27 pi^(-1) arctan(1/7 sqrt(21))  +  405/16 sqrt(6) pi^(-1) arctan(1/7 sqrt(14))","D_4_simplified":"6695/54 - (405/32) sqrt6 - (1/pi) [ (1375/72) sqrt21 + (6695/27) arctan(sqrt21/7) + (405/16) sqrt6 arctan(sqrt14/14) ]   (arctan(sqrt14/4) - arctan(sqrt14/7) = arctan(1/sqrt14))","Z_4":"1536 pi^(1)","c_5_ref":"Gamma(7/6) (3/2)^(1/3) D_4 / (12 sqrt3 pi^(7/2))","erfc_branch_of_D_4":"6695/54  +  -6066622595/603979776 sqrt(6)  +  -46299277168087/1415577600000 sqrt(21) pi^(-1)  +  -6066622595/301989888 sqrt(6) pi^(-1) arctan(1/4 sqrt(14))  +  -6695/27 pi^(-1) arctan(1/7 sqrt(21))  +  6066622595/301989888 sqrt(6) pi^(-1) arctan(1/7 sqrt(14))","polynomial_branch_of_D_4":"-1577496445/603979776 sqrt(6)  +  19265677168087/1415577600000 sqrt(21) pi^(-1)  +  -1577496445/301989888 sqrt(6) pi^(-1) arctan(1/4 sqrt(14))  +  1577496445/301989888 sqrt(6) pi^(-1) arctan(1/7 sqrt(14))"},"exact_relations":{"D_4 integral":"sqrt21/(2688 pi) [ (sqrt21 sqrt(pi)/6) int e^{-T^2/48} erfc(sqrt21 T/28) sum_a T^a L_a^E + int e^{-T^2/21} sum_a T^a L_a^R ]","G_n(mu, T)":"G_0 = (1/2) sqrt(pi/mu) erf(sqrt(mu) T); G_1 = (1 - e^{-mu T^2})/(2 mu); G_n = [(n-1) G_{n-2} - T^{n-1} e^{-mu T^2}]/(2 mu)","L_a":"int_0^T e^{-v^2/24} sum_k e_{a,k}(v) J_k(v) dv, k odd, J_k = B_k + C_k e^{-v^2/8}: incomplete Gaussian moments with mu = 1/24, 1/6","M_0(lam, 1)":"(1/2) sqrt(pi/lam)","M_0(lam, erf(u .) erf(v .))":"arctan(u v/sqrt(lam (lam + u^2 + v^2)))/sqrt(pi lam)","M_0(lam, erf(u .))":"arctan(u/sqrt lam)/sqrt(pi lam)","M_1(lam, 1)":"1/(2 lam)","M_n(lam, f), n >= 1":"[(n-1) M_{n-2}(lam, f) + sum_{u in f} (2u/sqrt pi) M_{n-1}(lam + u^2, f minus u)]/(2 lam)","Z_4":"4! sqrt(pi) (1/6) int e^{-T^2/48} int_0^T e^{-v^2/24} int_0^v V e^{-p3^2/8} = 1536 pi (exact, rule 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--- /dev/null
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diff --git a/tools/side24_mutant_contracts/side24-d6-coefficient.json b/tools/side24_mutant_contracts/side24-d6-coefficient.json
new file mode 100644
index 000000000..11e48b6e4
--- /dev/null
+++ b/tools/side24_mutant_contracts/side24-d6-coefficient.json
@@ -0,0 +1 @@
+{"directory":"coefficients/side24_d6_20260930","family":"side24-d6-coefficient","mutants":{"cumulative-half":{"kind":"report","report":{"certified":true,"checks":{"CLOSED_FORM_D6":true,"D1_EXACT":true,"D2_EXACT":true,"D3_EXACT":true,"D4_CERTIFIED_PATH":false,"D4_EXACT":true,"FLOAT_INSIDE":false,"IMAGE_BOUND":true,"JK_EXACT":true,"LAYER_EXACT":true,"LIBRARY_EXACT":true,"MEHTA_Z5":false,"MONOTONE":true,"PINNED":false,"ROUTE_CONSISTENT":false,"SIDE24_CONSISTENT":true,"STRUCTURE":true,"TRANSFER_BOUND":true,"TRUNCATION_NESTING":false,"WIDTHS":true},"coefficients":{"c_2_ref":["0.0734069193060342710301359629577740500176642446843326718326939","0.0734069193060342710301359629577740500176642446843326718516467"],"c_3_ref":["0.0417759318405983433429366654285755564666815196610447378743313","0.0417759318405983433429366654285755564666815196610447378851390"],"c_4_ref":["0.0233216660029528350945211949528568851531013723632403344029580","0.0233216660029528350945211949528568851531013723632403344090136"],"c_5_ref":["0.0132193193800849680760334875146413965210528901256999054505061","0.0132193193800849680760334875146413965210528901256999054539805"],"c_6_24":["0.00763709418399938871104495130339622303698812062399916308102812","0.00763709418399938871104495130339622303705680401001444588997040"],"c_6_ref":["0.00763709418399938871104495130339622303698812062399916308102820","0.00763709418399938871104495130339622303705680401001444588997032"],"c_6_ref_closed":["0.00763709418399938871104495130339622303698812062399916308103336","0.00763709418399938871104495130339622303705680401001444588996511"]},"cone_moments":{"D_1":"4/3","D_2":"29/6  +  -1 sqrt(6)","D_3":"50/3  +  -76/3 pi^(-1)  +  -200/9 pi^(-1) arctan(1/2)","D_4":"6695/54  +  -405/32 sqrt(6)  +  -1375/72 sqrt(21) pi^(-1)  +  -405/16 sqrt(6) pi^(-1) arctan(1/4 sqrt(14))  +  -6695/27 pi^(-1) arctan(1/7 sqrt(21))  +  405/16 sqrt(6) pi^(-1) arctan(1/7 sqrt(14))","D_4_certified_path":["14.1737836294718774152704475535282200540633273165861324655780","14.1737836294718774152704475535282200540633277313694139448277"],"D_4_interval":["14.2187634589773576013064656778740783173406023160820215841833","14.2187634589773576013064656778740783173406023160820215842323"],"D_5":["43.8106411155825739436051577890449899572541794073024782701302","43.8106411155825739436051577890449899576481857011652565589590"],"D_5_coarse":["42.9075503075969408225584232661620597585391386672186484524695","42.9075503076421612824132098037866812799919754930900093063304"],"D_5_route_certified_e":["43.7580506247069198811496859614374179649968168679260068326997","43.7580506247069198811501907272235636803028956920150100321680"]},"constants":{"(3/2)^(1/3)":["1.14471424255333186780804221193967700891590692078793107209905","1.14471424255333186780804221193967700891590692078793107209906"],"46080 pi^(3/2)":["256588.554094005097510724412616035949148787811904251879407479","256588.554094005097510724412616035949148787811904251879407574"],"Gamma(7/6)":["0.927719333630039200708349482534621018566466519145475576700351","0.927719333630039200708349482534621018566466519145475576939062"],"Z_5":["256588.554094005097510724412616035949148787811904251879407480","256588.554094005097510724412616035949148787811904251879407574"],"Z_5_layered":["256065.551243145019165366845502644555448476458681860747582421","256065.551243145019165366845502644555448533388129704404119059"],"pi":["3.14159265358979323846264338327950288419716939937510582097457","3.14159265358979323846264338327950288419716939937510582097528"],"|S^5|":["31.0062766802998201754763150671013952022252885658851076941334","31.0062766802998201754763150671013952022252885658851076941545"]},"exact_relations":{"D_m":"sqrt(3/(m+3)) Z_m^-1 int_{mu<0} prod mu_i^2 |Delta(mu)| exp(-|mu|^2/4 + (sum mu)^2/(4(m+3))) dmu","Z_5":"5! 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(1/24) 2 sqrt(pi/5) int_{0<q<v<w<T} V e^{-T^2/80 - w^2/48 - v^2/24 - q^2/8} = 2^(15/2) (2 pi)^(5/2) prod_{j<=5} Gamma(1+j/2)/Gamma(3/2)^5 = 46080 pi^(3/2)","c_d_ref":"Gamma(7/6) (3/2)^(1/3) |S^{d-1}| D_{d-1} / (sqrt3 sqrt pi (2 pi)^d); d = 6: |S^5| = pi^3, c_{6,ref} = Gamma(7/6) (3/2)^(1/3) D_5 / (64 sqrt3 pi^(7/2))","exponents":"erfc branch T^2/80 + w^2/48 + v^2/24 + q^2/8 with erfc(sqrt30 T/40); polynomial branch T^2/32 + w^2/48 + v^2/24 + q^2/8","layers":"q: J_k (odd k, no erf); v: incomplete Gaussian moments G_n(mu, w), mu in {1/24, 1/6}; w: exact for the polynomial and e^{-mu w^2} parts (G_n(1/48 + mu, T)), certified cumulative Omega_{a,mu}(T) = int_0^T Q(w) e^{-w^2/48} erf(sqrt(mu) w) dw for the erf parts; T: exact two-erf moments plus the certified Taylor quadrature","m=5 coordinates":"T = 4p1 + 3p2 + 2p3 + p4, w = 3p2 + 2p3 + p4, v = 2p3 + p4, q = p4; dp = dT dw dv dq/24; 0 < q < v < w < T","transfer":"E_6 = 314496 (76 24^6 + 15) e^-288; eps = 168 E_6; c_{6,24}/c_{6,ref} in [1/(1+delta), 1+delta], delta = (1+eps)^14/(1-eps)^14 - 1"},"float_reference_10sig":{"D_5_layered_trapezoid":"-33.1655181"},"layers":{"Z_5":{"certified_part":["24178.7652584712167214089274033053575141507099675457961027994","24178.7652584712167214089274033053575141578919946379668572785"],"exact_part":"183296/81 sqrt(5) pi^(1)  +  596992/6561 sqrt(15) pi^(1)  +  -3191680/729  +  -366592/81 sqrt(5) arctan(1/5 sqrt(5))  +  -1193984/6561 sqrt(15) arctan(1/15 sqrt(15))","kmax":7},"atoms":["1","arctan(1/5 sqrt(15))","arctan(1/2 sqrt(1))","arctan(1/4 sqrt(14))","arctan(1/7 sqrt(21))","arctan(1/7 sqrt(14))","arctan(1/7 sqrt(7))","arctan(1/5 sqrt(5))","arctan(1/15 sqrt(15))","arctan(1/3 sqrt(1))"],"m=5":{"G_0_constant":"2/15 sqrt(30) pi^(1/2)","T_powers_erfc":[0,1,2,3,4,5,6,7,8,9,10,11,12,14],"T_powers_poly":[0,1,2,3,4,5,6,7,8,9,10,11,13],"alpha":"15/32","beta":"3/16 T","certified_functions_(erfc, poly)":[28,26],"certified_part_erfc_branch":["2171340.67575158928149811730903868726756164117400995326826133","2171340.67575158928149811730903868726758714940894103808208401"],"certified_part_poly_branch":["2969588.09339018881243789877924110799593795308619456695381198","2969588.09339018881243789877924110799593795309322879745417960"],"exact_part_erfc_branch":"74651699200/59049 sqrt(5) pi^(1)  +  -2526199047775232/215233605  +  1342173730389322381312/420378134765625 sqrt(5)  +  -307725678950598344704/252226880859375 sqrt(15)  +  6553487824267442728475648/148371201531123046875 sqrt(105)  +  -149303398400/19683 sqrt(5) arctan(1/5 sqrt(5))  +  -46870014525440/129140163 sqrt(15) arctan(1/15 sqrt(15))  +  46870014525440/129140163 sqrt(15) arctan(1/3)","exact_part_poly_branch":"931333683623590068224/756680642578125 sqrt(2) pi^(1/2)  +  -694064242779548254208/420378134765625 sqrt(6) pi^(1/2)  +  309876730511277843629146112/445113604593369140625 sqrt(14) pi^(1/2)","kappa":"1/40 sqrt(30)","kappa^2":"3/160","lambda_erfc":"1/80","lambda_poly":"1/32","prefactor":"1/36864 sqrt(6) pi^(-3/2)","q_powers":[1,3,5,7,9,11]}},"mutant":"two-erf","object":"CL-SIDE24-D6-COEFFICIENT-20260930-v1","passed":false,"quadrature":{"K":40,"cells":"width 1/2 on [0, 30], width 1 on [30, 90]","rho":"6"},"scientific_effect":"NONE","transfer":{"E_6":["3.82723721533215540079690742342942909477794757569364110281421E-110","3.82723721533215540079690742342942909477794757569364110281424E-110"],"delta":["1.8003323860922459005348652519812034461835465396062887747638E-106","1.80033238609224590053486525198120344618354653960628877476392E-106"],"epsilon":["6.42975852175802107333880447136144087922695192716531705272787E-108","6.42975852175802107333880447136144087922695192716531705272793E-108"],"exponents":{"a":"79/6 (<= 14 used)","b":"27/2 (<= 14 used)"},"n_jet":28}}},"vandermonde":{"final_line":"ValueError: an even p3-power occurred; J_k would carry an error function","kind":"guard"}},"results_bytes":8319,"results_sha256":"82d1c19f9f503fd9211c6dcf356ec62aee9ec9eda44792bc38be4f3690637832","schema":1,"script":"cone_moment_d6.py","script_git_blob":"c5e56694d96c885373a7b70868259eeb9fdfa746"}
diff --git a/tools/side24_mutant_replay.py b/tools/side24_mutant_replay.py
new file mode 100644
index 000000000..d65db8b4f
--- /dev/null
+++ b/tools/side24_mutant_replay.py
@@ -0,0 +1,166 @@
+#!/usr/bin/env python3
+"""Authenticate the SIDE24 d = 5, 6 checkers' acceptance and rejection runs.
+
+Called AFTER each workflow's unchanged manifest and pin guards. Each checker is
+run from the repository root as `<script>` or `<script> --mutant LABEL`, as the
+workflows always ran it. It prints one JSON report on stdout and one timing line
+`seconds N.N` on stderr, then exits 0 if every check passed and 1 otherwise.
+
+For every child the protocol requires the exact exit status and a stderr that is
+exactly one timing line. The baseline's stdout must equal RESULTS.json byte for
+byte. A mutant's stdout must be one strict JSON report structurally equal to the
+report measured from the unchanged checker (tools/side24_mutant_contracts/, one
+file per family, each within the strict parser's size limit).
+One mutant, closed-form `vandermonde`, never reaches a report: the checker's own
+structural guard raises. Its reference is that guard: exit 1, empty stdout, and a
+traceback whose final line is the measured exception text. Any other crash,
+silent exit, extra diagnostic or different report fails. Parsing and comparison
+are those of tools/legacy_json_replay.py. This is an engineering protocol, not a
+sandbox or a mathematical acceptance test.
+"""
+from __future__ import annotations
+
+import concurrent.futures
+import hashlib
+import json
+from pathlib import Path
+import re
+import subprocess
+import sys
+from typing import Any
+
+from tools.legacy_json_replay import ProtocolError, _same, strict_json
+
+# Mutant order within each mode, as in each wrapper's original list.
+INVENTORIES = {
+    'side24-d5-closed-form': (
+        'shift-variance', 'vandermonde', 'erfc-sign', 'jacobian', 'mehta', 'by-parts',
+        'one-erf', 'two-erf', 'jk-init', 'gauss-half', 'boundary-term', 'atom-pi',
+        'cumulative-init', 'cumulative-recurrence'),
+    'side24-d5-coefficient': (
+        'shift-variance', 'vandermonde', 'erfc-branch', 'remainder-dropped', 'mehta',
+        'sphere-area', 'image-shells', 'sandwich-exponent', 'recurrence', 'jacobian',
+        'cumulative-half'),
+    'side24-d6-coefficient': (
+        'shift-variance', 'vandermonde', 'erfc-branch', 'jacobian', 'mehta', 'recurrence',
+        'layer-init', 'two-erf', 'cumulative-half', 'remainder-dropped', 'erf-inside',
+        'tail-dropped', 'image-shells', 'sandwich-exponent'),
+}
+MODES = (('normal', ('-B', '-S')), ('optimized', ('-B', '-O', '-S')))
+TIMING = re.compile(rb'\Aseconds [0-9]+\.[0-9]\n\Z')
+TRACEBACK = b'Traceback (most recent call last):\n'
+CONTRACTS = Path(__file__).with_name('side24_mutant_contracts')
+
+
+def _blob(data: bytes) -> str:
+    return hashlib.sha1(b'blob %d\0' % len(data) + data).hexdigest()
+
+
+def _contract(family: str, contracts: Path = CONTRACTS) -> dict[str, Any]:
+    if family not in INVENTORIES:
+        raise ProtocolError('unknown checker family')
+    entry = strict_json((Path(contracts) / (family + '.json')).read_bytes())
+    keys = {'schema', 'family', 'directory', 'script', 'script_git_blob', 'results_sha256',
+            'results_bytes', 'mutants'}
+    if (type(entry) is not dict or set(entry) != keys or type(entry['schema']) is not int
+            or entry['schema'] != 1 or entry['family'] != family):
+        raise ProtocolError('invalid family reference schema')
+    if (type(entry['script']) is not str or Path(entry['script']).name != entry['script']
+            or type(entry['directory']) is not str
+            or type(entry['results_bytes']) is not int or entry['results_bytes'] <= 0):
+        raise ProtocolError('invalid script or results metadata')
+    for key, size in (('script_git_blob', 40), ('results_sha256', 64)):
+        if type(entry[key]) is not str or not re.fullmatch('[0-9a-f]{%d}' % size, entry[key]):
+            raise ProtocolError('invalid reference digest')
+    mutants = entry['mutants']
+    if type(mutants) is not dict or set(mutants) != set(INVENTORIES[family]):
+        raise ProtocolError('missing, extra, or repeated mutant reference')
+    for label, ref in mutants.items():
+        if type(ref) is not dict or type(ref.get('kind')) is not str:
+            raise ProtocolError('invalid mutant reference')
+        if ref['kind'] == 'report':
+            report = ref.get('report')
+            if (set(ref) != {'kind', 'report'} or type(report) is not dict
+                    or report.get('mutant') != label or report.get('passed') is not False
+                    or type(report.get('checks')) is not dict
+                    or not any(v is False for v in report['checks'].values())):
+                raise ProtocolError('reference is not a rejection report')
+        elif ref['kind'] == 'guard':
+            line = ref.get('final_line')
+            if (set(ref) != {'kind', 'final_line'} or type(line) is not str
+                    or not line or '\n' in line or ': ' not in line):
+                raise ProtocolError('invalid guard reference')
+        else:
+            raise ProtocolError('unknown mutant reference kind')
+    return entry
+
+
+def _check(entry: dict[str, Any], label: str | None, results: bytes,
+           returncode: int, stdout: bytes, stderr: bytes) -> bool:
+    if label is None:
+        return returncode == 0 and stdout == results and bool(TIMING.match(stderr))
+    ref = entry['mutants'][label]
+    if returncode != 1:
+        return False
+    if ref['kind'] == 'guard':
+        tail = ref['final_line'].encode('utf-8') + b'\n'
+        return (not stdout and stderr.startswith(TRACEBACK) and stderr.endswith(b'\n' + tail)
+                and b'\nseconds ' not in stderr)
+    if not TIMING.match(stderr):
+        return False
+    try:
+        return _same(strict_json(stdout), ref['report'])
+    except ProtocolError:
+        return False
+
+
+def replay(family: str, repo: Path, *, timeout: float, workers: int = 4,
+           contracts: Path = CONTRACTS) -> list[dict[str, Any]]:
+    """Run the complete fixed inventory in both modes, or fail.
+
+    repo is the repository root, the children's working directory as before;
+    the packet directory inside it has already been source-verified. A timeout
+    or OSError is a failed run, never an intended rejection. No child input,
+    packet file or checker is changed.
+    """
+    entry = _contract(family, contracts)
+    repo = Path(repo).resolve()
+    root = repo / entry['directory']
+    script = root / entry['script']
+    if script.is_symlink() or not script.is_file():
+        raise ProtocolError('regular source checker required')
+    if _blob(script.read_bytes()) != entry['script_git_blob']:
+        raise ProtocolError('checker differs from the characterized source')
+    results = (root / 'RESULTS.json').read_bytes()
+    if (len(results) != entry['results_bytes']
+            or hashlib.sha256(results).hexdigest() != entry['results_sha256']):
+        raise ProtocolError('RESULTS.json differs from the characterized source')
+
+    def run(mode: str, flags: tuple[str, ...], label: str | None) -> dict[str, Any]:
+        command = [sys.executable, *flags, str(script)]
+        if label is not None:
+            command += ['--mutant', label]
+        try:
+            child = subprocess.run(command, cwd=repo, capture_output=True, timeout=timeout)
+            rc, out, err = child.returncode, child.stdout, child.stderr
+        except (subprocess.TimeoutExpired, OSError):
+            rc, out, err = None, b'', b''
+        ok = rc is not None and _check(entry, label, results, rc, out, err)
+        return {'family': family, 'mode': mode, 'label': label, 'returncode': rc,
+                'stdout_bytes': len(out), 'stderr_bytes': len(err),
+                'stdout_sha256': hashlib.sha256(out).hexdigest(),
+                'stderr_sha256': hashlib.sha256(err).hexdigest(), 'protocol_ok': ok}
+
+    records: list[dict[str, Any]] = []
+    for mode, flags in MODES:
+        labels = [None, *INVENTORIES[family]]
+        with concurrent.futures.ThreadPoolExecutor(max_workers=workers) as pool:
+            batch = list(pool.map(lambda label: run(mode, flags, label), labels))
+        for record in batch:
+            print(json.dumps(record, sort_keys=True), flush=True)
+        for record in batch:
+            if not record['protocol_ok']:
+                raise ProtocolError('SIDE24 protocol mismatch: %s/%s/%s' %
+                                    (family, mode, record['label'] or 'baseline'))
+        records.extend(batch)
+    return records

From db4a148c1ddc4e915aceeedd283a71c80f6cb7f8 Mon Sep 17 00:00:00 2001
From: Claude <noreply@anthropic.com>
Date: Wed, 28 Oct 2026 07:27:51 +0000
Subject: [PATCH 2/2] SCOPE.md: correct file count and the shared-check-set
 statement

Answers review 5679157800 (M521-DOC-001, M521-DOC-002). The note listed
nine files but said eight. It also claimed each mutant fails a different
set of checks; four pairs share one, and the pinned whole reports stay
distinct through their mutant labels. Documentation only; no helper,
reference, test or workflow change.

Co-Authored-By: Claude Opus 5.5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_017Mi3hxjaxV45x6zo6o1ee3
---
 reviews/side24_mutant_wrappers_20261026/SCOPE.md | 11 +++++++----
 1 file changed, 7 insertions(+), 4 deletions(-)

diff --git a/reviews/side24_mutant_wrappers_20261026/SCOPE.md b/reviews/side24_mutant_wrappers_20261026/SCOPE.md
index e842dacb3..df951a1a9 100644
--- a/reviews/side24_mutant_wrappers_20261026/SCOPE.md
+++ b/reviews/side24_mutant_wrappers_20261026/SCOPE.md
@@ -44,7 +44,7 @@ the blobs every local run below used.
 
 ## Repair and preservation
 
-Eight files: `tools/side24_mutant_replay.py`, the three files in
+Nine files: `tools/side24_mutant_replay.py`, the three files in
 `tools/side24_mutant_contracts/` and `tests/test_side24_mutant_workflows.py` (all
 new), the three workflows, and this note.
 
@@ -118,9 +118,12 @@ next mode.
 | `side24-d6-coefficient` | 13 | 1 (`vandermonde`) |
 
 Every report reference has `passed: false`, its own label, and at least one false
-check. Each mutant fails a different set of checks, and the references pin the
-whole report, so a failure for another reason, a crash, a silent exit, extra
-stderr, or a report for another label is rejected.
+check. Most mutants fail a distinct set of checks, but four pairs share one:
+`by-parts`/`gauss-half` and `cumulative-init`/`cumulative-recurrence` (d=5 closed
+form), and `jacobian`/`mehta` (d=5 and d=6 coefficient). The references pin the
+whole report, including its `mutant` label, so the reports in each pair are still
+distinct. A failure for another reason, a crash, a silent exit, extra stderr, or a
+report for another label is rejected.
 
 ## Execution and non-vacuous regressions