diff --git a/.github/workflows/navigation-links.yml b/.github/workflows/navigation-links.yml new file mode 100644 index 000000000..bc918f88d --- /dev/null +++ b/.github/workflows/navigation-links.yml @@ -0,0 +1,40 @@ +name: Navigation document links and quotations + +'on': + pull_request: + paths: + - 'PROOF_INDEX.md' + - 'docs/integration/**' + - 'tools/check_doc_links.py' + - 'tools/check_doc_quotes.py' + - 'tests/test_navigation_links.py' + - 'tests/test_navigation_quotes.py' + - '.github/workflows/navigation-links.yml' + workflow_dispatch: + +permissions: + contents: read + +jobs: + document-relative-links: + runs-on: ubuntu-latest + timeout-minutes: 5 + steps: + - uses: actions/checkout@11d5960a326750d5838078e36cf38b85af677262 + with: + persist-credentials: false + - uses: actions/setup-python@a26af69be951a213d495a4c3e4e4022e16d87065 + with: + python-version: '3.11.16' + - name: Resolve every link from the containing document and check every file-sourced quotation, in both interpreter modes + env: + PYTHONDONTWRITEBYTECODE: '1' + run: | + set -euo pipefail + python -B -S tools/check_doc_links.py PROOF_INDEX.md docs/integration/*.md + python -B -O -S tools/check_doc_links.py PROOF_INDEX.md docs/integration/*.md + python -B -S tools/check_doc_quotes.py PROOF_INDEX.md docs/integration/2026-09-29-navigation-refresh.md + python -B -O -S tools/check_doc_quotes.py PROOF_INDEX.md docs/integration/2026-09-29-navigation-refresh.md + python -B -S -m unittest -v tests.test_navigation_links tests.test_navigation_quotes + python -B -O -S -m unittest -v tests.test_navigation_links tests.test_navigation_quotes + git diff --exit-code diff --git a/PROOF_INDEX.md b/PROOF_INDEX.md index 030447a11..e57a88b18 100644 --- a/PROOF_INDEX.md +++ b/PROOF_INDEX.md @@ -1,6 +1,6 @@ # Proof availability index -This file links full proof text, exact reviews, and explicitly incomplete proof obligations. Local links open the retained files in this public repository; immutable external links identify sources still on other public branches. Scientific status is unchanged by this index. Review descriptions below report the linked records, checked on 2026-09-26; they do not replace the claim manifest or the source statements. +This file links full proof text, exact reviews, and explicitly incomplete proof obligations. Local links open the retained files in this public repository; immutable external links identify sources still on other public branches. Scientific status is unchanged by this index. Review descriptions below report the linked records, checked on 2026-09-26; packets integrated 27–29 September 2026 are listed by availability in the navigation-refresh section near the end of this file, with their review records in [docs/integration/2026-09-29-navigation-refresh.md](docs/integration/2026-09-29-navigation-refresh.md). That section was rebased onto `main` `6f74f7a` on 2026-10-02 (merges only) without changing its 26–29 September cut: packets that landed later are not listed there, and a separately scoped continuation will index them. None of this replaces the claim manifest or the source statements. ## Imported source bytes — publication only @@ -13,6 +13,10 @@ Verify custody with `python -B -S imports/hardening_ebedb780/verify.py`. **Publication is not acceptance.** Source self-labels are quoted, not adopted; no verdict, `lemma_closed`, prize, premise, or landing claim changes here. The shared [public inventory](https://github.com/d6g8k5htny-coder/main/tree/main/docs/public-math) remains the catalog; this pointer creates no second inventory. +Later publication-only import (availability only, outside the dated navigation section below): + +- [GP-DATA-114 original source and saved receipt](imports/gp_data_114_embedded_20260930/README.md) (Math- #165, merged 2026-09-30 at `bb429d39`): exact decoded publication from the already-public clean v1.1 capsule; original v1.0 filenames and historical receipt retained (program 9787 B, blob `bbbfacee`; receipt 5047 B, blob `77c511ea`). Custody-only recovery; no execution, theorem alignment or mathematical acceptance. + ## Reviewed scoped results - D2 lifetime remainder: proof [frontiers/three_fronts_20260924/LIFETIME_REMAINDER.md](frontiers/three_fronts_20260924/LIFETIME_REMAINDER.md); [R1–R4 review](https://github.com/d6g8k5htny-coder/main/issues/67#issuecomment-5841270276) and [R5/R6 delta review](https://github.com/d6g8k5htny-coder/main/issues/67#issuecomment-5841782206) record ACCEPT for Theorem R at its stated existential `O(1)`-remainder scope. The delta identifies its exact parent imports (the D1-A–E interfaces) and does not consume Theorem A's cubic bound (1.1); those imports are now reconciled in [reviews/d1_chain_reconciliation_20260928/](reviews/d1_chain_reconciliation_20260928/RECONCILIATION.md). Numerical constants/radii, a second coefficient, and RN/24-jet closure are outside this verdict. [main #67](https://github.com/d6g8k5htny-coder/main/issues/67) remains open for other bundled fronts. @@ -48,6 +52,104 @@ The shared [public inventory](https://github.com/d6g8k5htny-coder/main/tree/main - D5 shrinking multiple-witness collision: fixed-separation machinery is [frontiers/remote_collision_20260928/PROOF.md](frontiers/remote_collision_20260928/PROOF.md). The reviewed [Fourier upper bound](frontiers/c6_fourier_cutoff_20260929/PROOF.md) and the later merged [sharp Palm route](frontiers/c6_palm_route_20260929/PROOF.md) establish global count statements by routes that do not identify this regional shrinking-separation mechanism. **NO COMPLETE REGIONAL PROOF YET:** `math.rn-region.witness-collision` remains `OPEN_ACTIVE`; the global `Theta(r^3)` result is not a proof of that node. - D0 historical CH-LIFT/Piece-2/24-jet obligations outside reviewed regional bypasses: see [frontiers/downstream_gate_20260925/GRAPH.json](frontiers/downstream_gate_20260925/GRAPH.json). NO COMPLETE PROOF YET where not explicitly superseded; absent historical carriers remain ABSENT. +## Navigation refresh — packets integrated 27–29 September 2026 + +The packets below landed on `main` after this index was last checked (2026-09-26). This section records **availability only**: path, the packet's own object id, and its kind. The review records for each packet — exact links, the blob each review binds to, and for each record either a verbatim excerpt (in quotation marks) or a passage labelled `summary:` (the compiler's paraphrase, which the linked record governs) — are in [docs/integration/2026-09-29-navigation-refresh.md](docs/integration/2026-09-29-navigation-refresh.md); nothing here is a verdict, and no claim, graph node, STATUS row or disposition changes. Author lanes are as the packets state them. Packets on unmerged branches are not listed. + +**D1 parent chain (lifetime Theorems A, B, C) and its review records** — [review records](docs/integration/2026-09-29-navigation-refresh.md#d1-parent-chain-lifetime-theorems-a-b-c-and-its-review-records) + +- #71 — [`reviews/pr124_c1_c2_nonauthor_20260926/REVIEW.md`](reviews/pr124_c1_c2_nonauthor_20260926/REVIEW.md) (`fe3b9442`) — (no object id stated) — review record +- #114 — [`reviews/d1_section9_borel_grok_lucas_20260928/REVIEW.md`](reviews/d1_section9_borel_grok_lucas_20260928/REVIEW.md) (`48ea9ad5`) — (review of: d1_section9 packet reviews reviews/d1_section9_borel_repair_20260925/REPAIR.md (blob fe9b9ce4..., SHA256 845abf9f...): C1–C6 ACCEPT attributed to Grok/Lucas; reported executions UNVERIFIED) — engineering/repair — also: `frontiers/remote_collision_20260928`, `reviews/d5_remote_collision_grok_20260928` +- #143 — [`reviews/d1_cde_full_depth_claude_20260929/REVIEW.md`](reviews/d1_cde_full_depth_claude_20260929/REVIEW.md) (`f05700e2`) — CL-D1-CDE-FULLDEPTH-20260929-v1 (from SOURCE_FILES.json; REVIEW.md itself carries no 'Object:' line for the record — its Object row names the reviewed parent UNIFORM-MATRIX-CAP-LIFETIME-20260924-v1) — review record + +**D3 / SIDE24 coefficient and periodization** — [review records](docs/integration/2026-09-29-navigation-refresh.md#d3--side24-coefficient-and-periodization) + +- #144 — [`frontiers/side24_periodization_20260929/PROOF.md`](frontiers/side24_periodization_20260929/PROOF.md) (`1a84f215`) — CL-SIDE24-PFV-20260929-v1 — proof candidate +- #147 — [`reviews/literature_lifetime_law_recon_20260929/RECONNAISSANCE.md`](reviews/literature_lifetime_law_recon_20260929/RECONNAISSANCE.md) (`003b9879`) — CL-LIT-RECON-LIFETIME-20260929-v1.1 (v1 + the executed 1-D neighbor pass, §4 item D) — reconnaissance/draft +- #152 — [`reviews/side24_v1_coefficient_claude_20260929/REVIEW.md`](reviews/side24_v1_coefficient_claude_20260929/REVIEW.md) (`665d1683`) — CL-SIDE24-V1-REVIEW-20260929-v1 — review record +- #154 — [`coefficients/side24_remainder_20260929/PROOF.md`](coefficients/side24_remainder_20260929/PROOF.md) (`0bcf0a6f`) — OA-SIDE24-REMAINDER-20260929-v1 (RECONNAISSANCE.md: OA-SIDE24-REMAINDER-RECON-20260929-v1) — proof candidate +- #156 — [`frontiers/side24_periodization_remainder_20260929/PROOF.md`](frontiers/side24_periodization_remainder_20260929/PROOF.md) (`03291568`) — CL-SIDE24-PERIODIZATION-REMAINDER-20260929-v1 — proof candidate + +**D4–D5 RN regions: pins, microdisk, collar, intermediate window, remote, dimension lifts** — [review records](docs/integration/2026-09-29-navigation-refresh.md#d4d5-rn-regions-pins-microdisk-collar-intermediate-window-remote-dimension-lifts) + +- #7 — [`frontiers/rn_mesoscopic_20260925/PROOF.md`](frontiers/rn_mesoscopic_20260925/PROOF.md) (`0ef068fe`) — RN-MESOSCOPIC-ANNULUS-REDUCTION-20260925-v1 — proof candidate +- #35 — [`reviews/contact_angular_tail_20260925/NOTE.md`](reviews/contact_angular_tail_20260925/NOTE.md) (`df008a07`) — OA-CONTACT-ANGULAR-TAIL-20260925-v1 — proof candidate +- #60 — [`reviews/pin_micro_covariance_20260926/NOTE.md`](reviews/pin_micro_covariance_20260926/NOTE.md) (`36cc6cfc`) — OA-PIN-MICRO-COV-20260926-v1 — proof candidate +- #72 — [`reviews/pr125_shrinking_witness_nonauthor_20260926/REVIEW.md`](reviews/pr125_shrinking_witness_nonauthor_20260926/REVIEW.md) (`c337823b`) — (no object id stated) — review record +- #82 — [`reviews/d5_microdisk_20260926/NOTE.md`](reviews/d5_microdisk_20260926/NOTE.md) (`19efd64e`) — OA-D5-MICRODISK-20260926-v1 (QUARTIC.md: OA-D5-MICRODISK-QUARTIC-20260926-v1) — proof candidate +- #90 — [`reviews/d5_pin_microdisk_20260927/NOTE.md`](reviews/d5_pin_microdisk_20260927/NOTE.md) (`ac09361c`) — D5-PIN-MICRODISK-20260927-v1 — proof candidate +- #89 — [`certificates/bf_six_pin_hessian_20260926/PROOF.md`](certificates/bf_six_pin_hessian_20260926/PROOF.md) (`201a29fa`) — OA-BF-SIX-PIN-HESSIAN-20260926-v1 (scalar packet: OA-BF-SIX-PIN-SCALAR-20260926-v1) — proof candidate — also: `certificates/bf_six_pin_scalar_20260926` +- #80 — [`reviews/contact_kernel_substitute_20260926/SUBSTITUTE.md`](reviews/contact_kernel_substitute_20260926/SUBSTITUTE.md) (`ae3b8e1f`) — OA-CONTACT-KERNEL-SUBSTITUTE-20260926-v1 — other +- #87 — [`incoming/grok-cycle4-20260926/harper/README.md`](incoming/grok-cycle4-20260926/harper/README.md) (`6d1fb316`) — (no object id stated) — proof candidate +- #103 — [`reviews/d5_short_edge_20260928/NOTE.md`](reviews/d5_short_edge_20260928/NOTE.md) (`e5fde88b`) — OA-D5-SHORT-EDGE-20260928-v1 — proof candidate +- #104 — [`reviews/d5_pin_disk_all_directions_20260928/NOTE.md`](reviews/d5_pin_disk_all_directions_20260928/NOTE.md) (`c9a8ec2f`) — CL-D5-PIN-DISK-20260928-v1 (NOTE.md). The companion REVIEW.md has no object id of its own; its reviewed object is OA-PIN-MICRO-COV-20260926-v1. — proof candidate — also: `reviews/pin_micro_covariance_nonauthor_20260928` +- #105 — [`reviews/d5_local_collar_20260928/PUNCTURED_PIN_PROOF.md`](reviews/d5_local_collar_20260928/PUNCTURED_PIN_PROOF.md) (`d8acf0bc`) — OA-D5-PUNCTURED-PIN-20260928-v1 (PUNCTURED_PIN_PROOF.md); OA-D5-COMPACT-COLLAR-20260928-v1 (COLLAR_PROOF.md) — proof candidate +- #107 — [`frontiers/intermediate_window_20260928/PROOF.md`](frontiers/intermediate_window_20260928/PROOF.md) (`f53a527c`) — OA-D5-INTERMEDIATE-WINDOW-20260928-v1 — proof candidate +- #108 — [`reviews/d5_intermediate_window_grok_20260928/REVIEW.md`](reviews/d5_intermediate_window_grok_20260928/REVIEW.md) (`1b0998b9`) — GROK-D5-INTERMEDIATE-WINDOW-REVIEW-20260928-v1.1 (reviewed object: OA-D5-INTERMEDIATE-WINDOW-20260928-v1) — review record +- #109 — [`reviews/d5_intermediate_window_claude_20260928/REVIEW.md`](reviews/d5_intermediate_window_claude_20260928/REVIEW.md) (`100ce8ec`) — (review of: OA-D5-INTERMEDIATE-WINDOW-20260928-v1 = frontiers/intermediate_window_20260928/PROOF.md (blob f53a527c..., 27775 B, SHA256 b3eb9456...) at #107 head 742e72e) — review record +- #111 — [`reviews/d5_punctured_pin_nonauthor_20260928/REVIEW.md`](reviews/d5_punctured_pin_nonauthor_20260928/REVIEW.md) (`c98cf3ee`) — (review of: OA-D5-PUNCTURED-PIN-20260928-v1 (reviews/d5_local_collar_20260928/PUNCTURED_PIN_PROOF.md, blob d8acf0bc...) against reviews/d5_pin_microdisk_20260927/NOTE.md obstruction) — review record +- #110 — [`frontiers/remote_collision_20260928/PROOF.md`](frontiers/remote_collision_20260928/PROOF.md) (`7b48a88e`) — CL-D5-REMOTE-COLLISION-20260928-v1 (v4 head 66437d9) — proof candidate +- #113 — [`reviews/d5_remote_collision_grok_20260928/REVIEW.md`](reviews/d5_remote_collision_grok_20260928/REVIEW.md) (`c18560f8`) — (review of: CL-D5-REMOTE-COLLISION-20260928-v1 = frontiers/remote_collision_20260928/PROOF.md at v3 head bbb5c7eb (ledger and Bonferroni slice only)) — review record +- #115 — [`frontiers/remote_singleton_law_20260928/PROOF.md`](frontiers/remote_singleton_law_20260928/PROOF.md) (`2b019569`) — OA-D5-REMOTE-SINGLETON-LAW-20260928-v1 — proof candidate +- #117 — [`reviews/d5_i5_planar_f_20260928/REVIEW.md`](reviews/d5_i5_planar_f_20260928/REVIEW.md) (`031c5364`) — (review of: frontiers/intermediate_window_20260928/PROOF.md (I3, I4, I5) and frontiers/remote_collision_20260928/PROOF.md Corollary F, on main 5a5b97d2; consumes C2 (d5_local_collar) and D4 Theorem A) — review record — also: `reviews/candidates_pending_20260928` +- #119 — [`reviews/d5_collar_count_20260928/REVIEW.md`](reviews/d5_collar_count_20260928/REVIEW.md) (`6b1350fa`) — (review of: reviews/d5_local_collar_20260928/COLLAR_PROOF.md (C1 collar, C2 scaled ball) and PUNCTURED_PIN_PROOF.md; frontiers/remote_collision_20260928/PROOF.md Lemma 1 (P_eta)) — review record — also: `reviews/d5_offpin_second_moment_20260928` +- #121 — [`reviews/d5_consumption_bridge_20260928/BRIDGE.md`](reviews/d5_consumption_bridge_20260928/BRIDGE.md) (`7e1ef1c1`) — (review of: edges among recorded pieces P2, C1, C2, I3/I4, D4 A, I5, F-, F+, P_eta, H1–H4, Theorem A (1.1); finite identities L1–L5) — review record +- #138 — [`reviews/d5_reconciliation_20260929/RECONCILIATION.md`](reviews/d5_reconciliation_20260929/RECONCILIATION.md) (`4062d76b`) — D5-RECONCILIATION-20260929-v2.1 — other +- #120 — [`frontiers/remote_height_decoupling_20260928/PROOF.md`](frontiers/remote_height_decoupling_20260928/PROOF.md) (`4d7af587`) — OA-REMOTE-HEIGHT-DECOUPLING-20260928-v1 — proof candidate +- #123 — [`reviews/d1_elder_lower_claude_20260928/REVIEW.md`](reviews/d1_elder_lower_claude_20260928/REVIEW.md) (`179c1e6d`) — review records (no own Object id); reviewed objects: OA-ELDER-LOWER-DENSITY-GAP-20260928-v1 and OA-WINDOW-MULTIPLICITY-LOCAL-20260928-v1 (#116 C1/C2); OA-P15-BIPARTITE-OVERLAP-20260928-v1, OA-P15-EVEN-READ-TWO-20260928-v1 (#118); OA-P15-TAIL-LOAD-20260928-v1 (#122); OA-REMOTE-HEIGHT-DECOUPLING-20260928-v1 (#120) — review record — also: `reviews/p15_overlap_tail_claude_20260928`, `reviews/remote_height_claude_20260928` +- #116 — [`frontiers/window_multiplicity_laws_20260928/README.md`](frontiers/window_multiplicity_laws_20260928/README.md) (`126c8e3d`) — C1 OA-ELDER-LOWER-DENSITY-GAP-20260928-v1; C2 OA-WINDOW-MULTIPLICITY-LOCAL-20260928-v1; C3 OA-WINDOW-MULTIPLICITY-REMOTE-20260928-v1; C4 OA-WINDOW-MULTIPLICITY-DISTANCE-20260928-v1; C5 OA-WINDOW-MULTIPLICITY-HEIGHT-20260928-v1 — proof candidate +- #124 — [`docs/integration/2026-09-28-reviewed-mathematics.md`](docs/integration/2026-09-28-reviewed-mathematics.md) (`0c7f4a7e`) — (no object id stated) — integration — also: `frontiers/p15_bipartite_overlap_20260928`, `frontiers/p15_tail_load_20260928`, `frontiers/remote_height_decoupling_20260928`, `frontiers/window_multiplicity_laws_20260928`, `reviews/d1_elder_lower_claude_20260928`, `reviews/p15_overlap_tail_claude_20260928`, `reviews/remote_height_claude_20260928` +- #128 — [`frontiers/remote_inverse_separation_20260928/PROOF.md`](frontiers/remote_inverse_separation_20260928/PROOF.md) (`1b24d0f6`) — OA-REMOTE-INVERSE-SEPARATION-20260928-v1 — proof candidate +- #129 — [`docs/integration/2026-09-29-reviewed-dimension-and-pair.md`](docs/integration/2026-09-29-reviewed-dimension-and-pair.md) (`4c42d40f`) — (no object id stated) — integration — also: `frontiers/elder_dimension_lift_20260928`, `frontiers/window_multiplicity_laws_20260928`, `reviews/elder_dimension_lift_claude_20260928`, `reviews/remote_pair_law_claude_20260928` +- #130 — [`reviews/remote_inverse_separation_claude_20260929/REVIEW.md`](reviews/remote_inverse_separation_claude_20260929/REVIEW.md) (`df9cdc1f`) — review records (no own Object id); reviewed objects: OA-REMOTE-INVERSE-SEPARATION-20260928-v1 (#128); OA-WINDOW-MULTIPLICITY-DISTANCE-20260928-v1 (#116 C4); OA-WINDOW-MULTIPLICITY-HEIGHT-20260928-v1 (#116 C5) — review record — also: `reviews/remote_distance_moments_claude_20260929`, `reviews/remote_height_marks_claude_20260929` +- #131 — [`docs/integration/2026-09-29-reviewed-window-and-inverse.md`](docs/integration/2026-09-29-reviewed-window-and-inverse.md) (`73c7675d`) — (no object id stated) — integration — also: `frontiers/remote_inverse_separation_20260928`, `frontiers/window_multiplicity_laws_20260928`, `reviews/remote_distance_moments_claude_20260929`, `reviews/remote_height_marks_claude_20260929`, `reviews/remote_inverse_separation_claude_20260929` +- #125 — [`frontiers/elder_dimension_lift_20260928/PROOF.md`](frontiers/elder_dimension_lift_20260928/PROOF.md) (`7303bd79`) — OA-ELDER-DIMENSION-LIFT-20260928-v1 — proof candidate +- #127 — [`reviews/elder_dimension_lift_claude_20260928/REVIEW.md`](reviews/elder_dimension_lift_claude_20260928/REVIEW.md) (`e2b9fcdc`) — review records (no own Object id); reviewed objects: OA-ELDER-DIMENSION-LIFT-20260928-v1 (#125); OA-WINDOW-MULTIPLICITY-REMOTE-20260928-v1 (#116 C3) — review record — also: `reviews/remote_pair_law_claude_20260928` +- #141 — [`frontiers/d5_dimension_lift_20260929/PROOF.md`](frontiers/d5_dimension_lift_20260929/PROOF.md) (`9d82c707`) — CL-D5-DIMENSION-LIFT-20260929-v1 — proof candidate +- #149 — [`frontiers/elder_lower_all_d_20260929/PROOF.md`](frontiers/elder_lower_all_d_20260929/PROOF.md) (`7f41c9e3`) — CL-ELDER-LOWER-ALL-D-20260929-v1.1 (v1 + the invariant (E-mix) wording) — proof candidate + +**C6 torus-wide factorial moments and cluster laws** — [review records](docs/integration/2026-09-29-navigation-refresh.md#c6-torus-wide-factorial-moments-and-cluster-laws) + +- #140 — [`frontiers/c6_factorial_moment_20260929/PROOF.md`](frontiers/c6_factorial_moment_20260929/PROOF.md) (`f5bd013b`) — CL-C6-FACTORIAL-20260929-v1 (Version: v1.3) — proof candidate +- #142 — [`frontiers/c6_sharpened_20260929/PROOF.md`](frontiers/c6_sharpened_20260929/PROOF.md) (`70ba1972`) — CL-C6-SHARPENED-20260929-v1 (Version: v1.2) — proof candidate +- #146 — [`frontiers/c6_count_cap_boundary_20260929/PROOF.md`](frontiers/c6_count_cap_boundary_20260929/PROOF.md) (`3d4c28a4`) — OA-C6-COUNT-CAP-BOUNDARY-20260929-v1 — proof candidate +- #148 — [`frontiers/c6_fourier_cutoff_20260929/PROOF.md`](frontiers/c6_fourier_cutoff_20260929/PROOF.md) (`1d9177a2`) — OA-C6-FOURIER-20260929-v1 — proof candidate — also: `reviews/c6_fourier_completion_20260929` +- #145 — [`frontiers/c6_palm_route_20260929/PROOF.md`](frontiers/c6_palm_route_20260929/PROOF.md) (`89eb8adf`) — CL-C6-PALM-20260929-v1 (Version: v1.4, provenance refresh after Codex review 5358203608) — proof candidate +- #153 — [`frontiers/c6_rare_cluster_laws_20260929/PROOF.md`](frontiers/c6_rare_cluster_laws_20260929/PROOF.md) (`2ab625ce`) — OA-C6-RARE-CLUSTER-20260929-v1 (addendum SHARP_POISSON_COEFFICIENT.md: OA-C6-RARE-CLUSTER-20260929-A1) — proof candidate +- #161 — [`frontiers/local_cluster_tightness_20260929/PROOF.md`](frontiers/local_cluster_tightness_20260929/PROOF.md) (`adffa691`) — OA-LOCAL-CLUSTER-TIGHTNESS-20260929-v1 — proof candidate + +**C7 unrestricted selection difference** — [review records](docs/integration/2026-09-29-navigation-refresh.md#c7-unrestricted-selection-difference) + +- #132 — [`frontiers/remote_mixed_inverse_20260929/PROOF.md`](frontiers/remote_mixed_inverse_20260929/PROOF.md) (`975d8211`) — OA-REMOTE-MIXED-INVERSE-20260929-v1 — proof candidate +- #133 — [`frontiers/unrestricted_selection_difference_20260929/PROOF.md`](frontiers/unrestricted_selection_difference_20260929/PROOF.md) (`5a55b179`) — CL-D1-UNRESTRICTED-DIFFERENCE-20260929-v3 — proof candidate — also: `reviews/remote_mixed_inverse_claude_20260929` +- #134 — [`docs/integration/2026-09-29-c7-and-mixed-review.md`](docs/integration/2026-09-29-c7-and-mixed-review.md) (`185832eb`) — (no object id stated) — integration — also: `frontiers/remote_mixed_inverse_20260929`, `frontiers/unrestricted_selection_difference_20260929`, `reviews/c7_nonvanishing_openai_20260929`, `reviews/remote_mixed_inverse_claude_20260929` +- #150 — [`frontiers/c7_total_bounded_20260929/PROOF.md`](frontiers/c7_total_bounded_20260929/PROOF.md) (`28748b08`) — CL-C7-TOTAL-BOUNDED-20260929-v1.2 (v1.1 supersedes the withdrawn v1 memo CL-C7-TOTAL-K-SCALING-RECON-20260929-v1) — proof candidate — also: `reviews/c7_total_k_scaling_recon_20260929` +- #155 — [`frontiers/c7_zero_gap_limit_20260929/PROOF.md`](frontiers/c7_zero_gap_limit_20260929/PROOF.md) (`5b6328ea`) — OA-C7-ZERO-GAP-LIMIT-20260929-v1 — proof candidate + +**SARD-G first-contact charts** — [review records](docs/integration/2026-09-29-navigation-refresh.md#sard-g-first-contact-charts) + +- #135 — [`frontiers/sard_g_robust_charts_20260929/PROOF.md`](frontiers/sard_g_robust_charts_20260929/PROOF.md) (`7e223706`) — OA-SARD-ROBUST-CHARTS-20260929-v1 — proof candidate +- #136 — [`reviews/sard_g_r3r4_claude_20260929/REVIEW.md`](reviews/sard_g_r3r4_claude_20260929/REVIEW.md) (`8c6fd343`) — review record (no own Object id); reviewed object: OA-SARD-ROBUST-CHARTS-20260929-v1 (#135), sections 7-8, claims R3-R4 — review record +- #137 — [`frontiers/sard_g_a2_parameter_20260929/v2/A2_FIXED_FRAME.md`](frontiers/sard_g_a2_parameter_20260929/v2/A2_FIXED_FRAME.md) (`09c45efb`) — OA-SARD-A2-FIXED-FRAME-20260929-v2 (companion OA-SARD-NONVANISHING-CLOSURE-20260929-v1; withdrawn v1 OA-SARD-A2-PARAMETER-20260929-v1) — proof candidate +- #139 — [`reviews/sard_closure_integration_20260929/READING_RULE.md`](reviews/sard_closure_integration_20260929/READING_RULE.md) (`6860b19b`) — (no object id stated) — integration — also: `frontiers/sard_g_robust_charts_20260929`, `frontiers/sard_g_a2_parameter_20260929`, `frontiers/sard_g_a2_regularity_20260929`, `frontiers/sard_g_pinned_transfer_20260929`, `reviews/sard_g_a2_fixed_frame_claude_20260929`, `reviews/sard_g_r1r2_claude_20260929`, `reviews/d5_punctured_pin_continuum_claude_20260929` + +**P15 covers and prices** — [review records](docs/integration/2026-09-29-navigation-refresh.md#p15-covers-and-prices) + +- #118 — [`frontiers/p15_bipartite_overlap_20260928/PROOF.md`](frontiers/p15_bipartite_overlap_20260928/PROOF.md) (`8ad826ec`) — OA-P15-BIPARTITE-OVERLAP-20260928-v1 — proof candidate +- #122 — [`frontiers/p15_tail_load_20260928/PROOF.md`](frontiers/p15_tail_load_20260928/PROOF.md) (`8187908d`) — OA-P15-TAIL-LOAD-20260928-v1 — proof candidate + +**Custody, imports, audits, engineering and pointer records** — [review records](docs/integration/2026-09-29-navigation-refresh.md#custody-imports-audits-engineering-and-pointer-records) + +- #65 — [`reviews/d0_custody_audit_20260926/AUDIT.md`](reviews/d0_custody_audit_20260926/AUDIT.md) (`32c874c5`) — D0-PROOF-CUSTODY-AUDIT-20260926 — import/custody +- #81 — [`reviews/drive_hole_substitutes_20260926/LEDGER.md`](reviews/drive_hole_substitutes_20260926/LEDGER.md) (`20193bd0`) — OA-DRIVE-HOLE-LEDGER-20260926-v4 (on main, post-merge #102 of 2026-09-28; merged version was v3, blob 96c5c08f9701428a26d485f25c997070cd8dfc2b, 10894 bytes) — import/custody +- #83 — [`imports/upper2d_stage_e_20260926/README.md`](imports/upper2d_stage_e_20260926/README.md) (`64b69425`) — (no object id stated) — import/custody +- #84 — [`imports/upper2d_h5_ledgers_20260926/README.md`](imports/upper2d_h5_ledgers_20260926/README.md) (`9b043d2f`) — (no object id stated) — import/custody +- #86 — [`repairs/h5_rim_contract_20260926/REPAIR.md`](repairs/h5_rim_contract_20260926/REPAIR.md) (`4c77876e`) — (no object id stated) — engineering/repair — also: `imports/upper2d_h5_ledgers_20260926 (README.md +3 lines)` +- #88 — [`PUBLIC_READING_MAP.md`](PUBLIC_READING_MAP.md) (`3e583551`) — (no object id stated) — other +- #91 — [`repairs/c026_reciprocal_20260927/README.md`](repairs/c026_reciprocal_20260927/README.md) (`f359e163`) — (no object id stated) — engineering/repair +- #73 — [`reviews/pr36_kernel_tail_nonauthor_20260926/REVIEW.md`](reviews/pr36_kernel_tail_nonauthor_20260926/REVIEW.md) (`54986be8`) — (no object id stated) — review record + + ## Repository rule A reviewed/closed theorem or lemma must have its full proof or immutable byte-bound mirror in this repository plus the exact review/certificate. An open theorem with a complete candidate proof must link it here. An open item without a complete proof must link the strongest partial derivation and state the missing proof explicitly. Superseded/refuted work stays available. Tests and hashes are evidence, not substitutes for analytic proof. A navigation refresh records source availability and existing review scope; any change to [claims/LANDING_CLAIMS.json](claims/LANDING_CLAIMS.json) or the D0-D7 graph requires its own source-bound reconciliation through the existing validators. diff --git a/docs/integration/2026-09-29-navigation-refresh.md b/docs/integration/2026-09-29-navigation-refresh.md new file mode 100644 index 000000000..d73113fbf --- /dev/null +++ b/docs/integration/2026-09-29-navigation-refresh.md @@ -0,0 +1,117 @@ +# Navigation refresh — packets integrated 26–29 September 2026 + +Recorded 2026-09-29 (late UTC) against Math- `main` after PR #161; rebased onto `main` `6f74f7a` on 2026-10-02 by merges only, so the cut, the rows and the quoted passages are unchanged, and packets that landed after 29 September belong to a separately scoped continuation. **Scope: source availability and existing review scope only**, per the PROOF_INDEX repository rule. This file adds no verdict, changes no claim, graph node, STATUS row or disposition, and does not replace the review records it links. Verdict words are quoted from the linked records ('ACCEPT', 'AMEND', 'HOLD', 'CONFIRMED', 'VERIFIED' appear only where the record uses them); "engineering" reads (source-fidelity / integration) are not analytic acceptance; automated bot notices are omitted. In the review-records column a passage in curly quotation marks “…” is a **verbatim excerpt** of the record reached by the link immediately before it (omissions marked with …; whitespace, Markdown emphasis and table-cell pipe escapes normalised); a passage introduced by **summary:** is the compiler's **paraphrase** of that record (typically a condensation of its verdict table), carries no wording authority, and is checked only for its verdict words — the linked record governs. Audited 2026-09-30 against every linked file and GitHub comment/review body (`tools/check_doc_quotes.py --github`): 69 passages are verbatim excerpts and 112 are labelled summaries; earlier heads of this file had shown the summaries in quotation marks (corrected after the Codex review of PR #163). `tools/check_doc_quotes.py` re-checks the file-sourced passages offline in CI and all passages with `--github`. All lanes post from one GitHub account, so provider labels are the records' own self-identifications and no organizational independence is claimed for any row. Packet paths are on `main`; `blob` is the Git blob id of the principal file on `main` at the time of writing; several analytic reviews bind to a pre-refresh blob of the same packet (the row's quote says so where the record does). + +Compiled from each PR's files, reviews and comments and from the packets' own headers (four read-only extraction passes, cross-checked by the compiler, Anthropic Claude session `01NMeKEi…`). Corrections are welcome as ordinary PRs; a wrong row here never changes a verdict recorded elsewhere. Scientific effect: **NONE**. + +Contents: [D1 parent chain](#d1-parent-chain-lifetime-theorems-a-b-c-and-its-review-records) · [D3 / SIDE24 coefficient and periodization](#d3--side24-coefficient-and-periodization) · [D4–D5 RN regions](#d4d5-rn-regions-pins-microdisk-collar-intermediate-window-remote-dimension-lifts) · [C6 torus-wide factorial moments and cluster laws](#c6-torus-wide-factorial-moments-and-cluster-laws) · [C7 unrestricted selection difference](#c7-unrestricted-selection-difference) · [SARD-G first-contact charts](#sard-g-first-contact-charts) · [P15 covers and prices](#p15-covers-and-prices) · [Custody, imports, audits, engineering and pointer records](#custody-imports-audits-engineering-and-pointer-records) + +## D1 parent chain (lifetime Theorems A, B, C) and its review records + +| PR (merged) | Packet — principal file (blob, bytes) | Object · author (as stated) | Kind | Statement (packet's own words, abridged) | Nonauthor review records — link, then “verbatim excerpt” or summary: (compiler's paraphrase) | +|---|---|---|---|---|---| +| #71 (2026-09-27) | [`reviews/pr124_c1_c2_nonauthor_20260926/REVIEW.md`](../../reviews/pr124_c1_c2_nonauthor_20260926/REVIEW.md) (`fe3b9442`, 9328 B) | (no object id stated) · xAI / Grok 4.7 (grok-4.7-high-fast) via Cursor cloud run bc-532d8628 (reviewer provenance table; 'Organizational independence is not awarded') | review record | C1: the H_branch-conditioned 1-q_MS <= C r^3 and q_MS -> 1 do not follow without P(H_branch) >= c > 0 (AMEND); C2: PREMISE-Z-LOWER Z_r >= c r^2 isolated, unresolved (ACCEPT). | Anthropic / Claude (Claude Code comment from the d6g8k5htny-coder account; 'not a filed review record'); reviewed head 21e39741 = merged REVIEW.md blob — [#71 comment 5848500725](https://github.com/d6g8k5htny-coder/Math-/pull/71#issuecomment-5848500725) — summary: Technical verdict on the record: AMEND (the C1/C2 findings themselves stand at their stated scope). C1 AMEND confirmed; C2 ACCEPT confirmed. | +| #114 (2026-09-28) | [`reviews/d1_section9_borel_grok_lucas_20260928/REVIEW.md`](../../reviews/d1_section9_borel_grok_lucas_20260928/REVIEW.md) (`48ea9ad5`, 4287 B) + [`reviews/d1_section9_borel_grok_lucas_20260928/README.md`](../../reviews/d1_section9_borel_grok_lucas_20260928/README.md) (`7771a6d9`), [`reviews/d1_section9_borel_grok_lucas_20260928/EVIDENCE.json`](../../reviews/d1_section9_borel_grok_lucas_20260928/EVIDENCE.json) (`937edc3b`), [`frontiers/remote_collision_20260928/PROOF.md`](../../frontiers/remote_collision_20260928/PROOF.md) (`7b48a88e`), [`reviews/d5_remote_collision_grok_20260928/REVIEW.md`](../../reviews/d5_remote_collision_grok_20260928/REVIEW.md) (`c18560f8`) — also: `frontiers/remote_collision_20260928`, `reviews/d5_remote_collision_grok_20260928` | (review of: d1_section9 packet reviews reviews/d1_section9_borel_repair_20260925/REPAIR.md (blob fe9b9ce4..., SHA256 845abf9f...): C1–C6 ACCEPT attributed to Grok/Lucas; reported executions UNVERIFIED) · Integration assembled by OpenAI / ChatGPT (PR via chatgpt-codex-connector app). d1_section9 packet: 'Review author: xAI/Grok, Lucas lane ... Publication/editorial correction: OpenAI/ChatGPT, 2026-09-28'. remote_collision: Anthropic Claude. d5_remote_collision_grok: xAI/Grok verdicts, OpenAI publication wrapper. | engineering/repair | d1_section9 record: attributed Grok/Lucas C1–C6 ACCEPT on the D1 Section 9 Borel repair (C^2-valued conditional Gaussian kernel, Borel generation, elder-mark measurability, one-Delta Jacobian); execution claims unverified. | **Record's own verdict:** Attributed to Grok/Lucas: C1 ACCEPT (theorem-number objection withdrawn); C2 ACCEPT under parent §2 smoothness premise; C3, C4, C5, C6 ACCEPT. Execution claims (s9_exact_check.py, five mutants) 'None ... is certified by this publication'.
OpenAI / ChatGPT (PR review; integration author, 'not an independent native approval') — [#114 review 5343196069](https://github.com/d6g8k5htny-coder/Math-/pull/114#pullrequestreview-5343196069) — summary: Each baseline returned 0 with all 17 named checks true ... All five semantic mutants ... returned 1 ... does NOT recover #112's ... s9 runner
Anthropic Claude — file on main (D1 chain reconciliation, cites the record) — [`reviews/d1_chain_reconciliation_20260928/RECONCILIATION.md`](../../reviews/d1_chain_reconciliation_20260928/RECONCILIATION.md) — summary: G2 \| xAI Grok, Lucas lane \| reviews/d1_section9_borel_grok_lucas_20260928/REVIEW.md \| E2 C1–C6 ACCEPT. Narrative record; its runner is absent. | +| #143 (2026-09-29) | [`reviews/d1_cde_full_depth_claude_20260929/REVIEW.md`](../../reviews/d1_cde_full_depth_claude_20260929/REVIEW.md) (`f05700e2`, 13279 B) | CL-D1-CDE-FULLDEPTH-20260929-v1 (from SOURCE_FILES.json; REVIEW.md itself carries no 'Object:' line for the record — its Object row names the reviewed parent UNIFORM-MATRIX-CAP-LIFETIME-20260924-v1) · Anthropic Claude (claude.ai session session_01NMeKEismAyeqgdB4sy2NJU) — reviewer; reviewed parent authored by OpenAI/ChatGPT | review record | Nonauthor full-depth review of parent §§10, 13–15: det T_r = 12 r^{−(d+3)}, majorant (13.4)–(13.5), off-diagonal bound (14.1), gamma factor Γ(7/6)τ^{4/3}/(24^{1/3}√π) re-derived; ACCEPT, no defect. | **Record's own verdict:** ACCEPT (full depth) on all four rows at the reconciliation §2 existential scope; no defect found; adds Claude full depth where xAI (G1) was already full-depth; no new provider
OpenAI/ChatGPT — [#143 review 5357784828](https://github.com/d6g8k5htny-coder/Math-/pull/143#pullrequestreview-5357784828) — “OpenAI/ChatGPT non-Claude integration read ... not a new foundational review of the OpenAI parent ... No integration blocker found.” *(engineering)*
xAI/Benjamin — [#143 comment 5895367981](https://github.com/d6g8k5htny-coder/Math-/pull/143#issuecomment-5895367981) — “C8 identity ... Both displays evaluate to 0.04177593184059836 ... Identities only. Not a re-review of D1-C/D/E.” | + +## D3 / SIDE24 coefficient and periodization + +| PR (merged) | Packet — principal file (blob, bytes) | Object · author (as stated) | Kind | Statement (packet's own words, abridged) | Nonauthor review records — link, then “verbatim excerpt” or summary: (compiler's paraphrase) | +|---|---|---|---|---|---| +| #144 (2026-09-29) | [`frontiers/side24_periodization_20260929/PROOF.md`](../../frontiers/side24_periodization_20260929/PROOF.md) (`1a84f215`, 12391 B) | CL-SIDE24-PFV-20260929-v1 · Anthropic Claude (session session_01NMeKEismAyeqgdB4sy2NJU); scoped source repair commit 56daf0bd by OpenAI/Codex (git author 'Dylan Roy') | proof candidate | Theorem (candidate): DΦ(J_∞)[J^{(1)}_L]/Φ(J_∞) = P_3(L) e^{−L²/2}, P_3(L) = −L²(10L⁴ − 147L² + 315)/105; c_{3,L}/c_{3,∞} − 1 = P_3(L)e^{−L²/2} + ε_L; P_3(24) = −620813376/35. | xAI/Harper — [#144 comment 5895236600](https://github.com/d6g8k5htny-coder/Math-/pull/144#issuecomment-5895236600) — summary: Slice A ... ACCEPT as identities (S² moments, Hermite step, closed forms, P_3 given §4 chain) ... HOLD: §4 exponent read-off; ε_L / D²Φ.
OpenAI/ChatGPT — [#144 review 5357797661](https://github.com/d6g8k5htny-coder/Math-/pull/144#pullrequestreview-5357797661) — “VERDICT: ACCEPT §4 identities and the resulting isotropic exponents, conditional on the already reviewed parent §15 factorization shape.”
OpenAI/ChatGPT — [#144 review 5358150006](https://github.com/d6g8k5htny-coder/Math-/pull/144#pullrequestreview-5358150006) — “VERDICT: ACCEPT the candidate's stated leading-first-variation theorem at its exact scope ... not a new numerical enclosure of c_{3,24}.”
OpenAI/Codex (/root/math_merge_readiness) — [#144 review 5358773176](https://github.com/d6g8k5htny-coder/Math-/pull/144#pullrequestreview-5358773176) — “ACCEPT the repaired packet at its leading-first-variation scope ... no sharper remainder or complete-correction sign certificate is asserted.”
OpenAI / GPT-6 Astra Pro — [#144 comment 5898844383](https://github.com/d6g8k5htny-coder/Math-/pull/144#issuecomment-5898844383) — “Remainder-work finding, confined to wording ... §2's normalized 1D expansion should have an O(q^2) remainder ... first-order coefficient and existing scoped verdict are unaffected.” | +| #147 (2026-09-29) | [`reviews/literature_lifetime_law_recon_20260929/RECONNAISSANCE.md`](../../reviews/literature_lifetime_law_recon_20260929/RECONNAISSANCE.md) (`003b9879`, 13738 B) | CL-LIT-RECON-LIFETIME-20260929-v1.1 (v1 + the executed 1-D neighbor pass, §4 item D) · Anthropic Claude (claude.ai session session_01NMeKEismAyeqgdB4sy2NJU); qualification commit c3fdca1188 by OpenAI/Codex (git author 'Dylan Roy') | reconnaissance/draft | Verdict under this protocol: no theorem found that proves, contradicts, or assigns a different exponent to ν(ℓ) ~ c ℓ^{−1/3}; 'none found' is a protocol statement, not proof of novelty. | OpenAI/Codex (/root/math_merge_readiness) — [#147 review 5358722513](https://github.com/d6g8k5htny-coder/Math-/pull/147#pullrequestreview-5358722513) — “ACCEPT — engineering/source-fidelity only after the two scope corrections ... No new literature search, novelty validation or organizational-independence credit is claimed.” *(engineering)*
OpenAI/ChatGPT — [#147 comment 5897859268](https://github.com/d6g8k5htny-coder/Math-/pull/147#issuecomment-5897859268) — summary: Task-1 follow-up ... found no theorem or displayed asymptotic there of the form f_amp(h)~C h^{-1/3} ... NOT verified prior art for the -1/3 exponent. | +| #152 (2026-09-29) | [`reviews/side24_v1_coefficient_claude_20260929/REVIEW.md`](../../reviews/side24_v1_coefficient_claude_20260929/REVIEW.md) (`665d1683`, 17903 B) | CL-SIDE24-V1-REVIEW-20260929-v1 · Anthropic / Claude (Claude Code session session_01NMeKEismAyeqgdB4sy2NJU) — reviewer; reviewed package authored by OpenAI/ChatGPT | review record | Nonauthor review of side24_v1: the two displayed 20-digit intervals are proved bounds on (15.2) for the exact variance-one SIDE24 covariance in d=2,3; ACCEPT at arithmetic-enclosure scope. | **Record's own verdict:** ACCEPT at the arithmetic-enclosure scope; items 1–6 VERIFIED, reproduction byte-identical, independent numerics inside the enclosures; no defect found; adds Anthropic as second nonauthor provider after xAI/Grok 4.7 (main#65 comment 5841269490, C1–C6 VERIFIED)
OpenAI/Codex (/root/math_merge_readiness) — [#152 review 5358722686](https://github.com/d6g8k5htny-coder/Math-/pull/152#pullrequestreview-5358722686) — summary: ACCEPT — engineering integration only at 4ee14be ... adds engineering verification, not another scientific verdict or provider/organizational-independence credit. *(engineering)* | +| #154 (2026-09-29) | [`coefficients/side24_remainder_20260929/PROOF.md`](../../coefficients/side24_remainder_20260929/PROOF.md) (`0bcf0a6f`, 14776 B) | OA-SIDE24-REMAINDER-20260929-v1 (RECONNAISSANCE.md: OA-SIDE24-REMAINDER-RECON-20260929-v1) · OpenAI / GPT-6 Astra Pro, foreground session, 29 September 2026 | proof candidate | Theorem R: for d=2,3, \|c_{d,24}/c_{d,ref} − 1 − P_d(24) e^{−288}\| < 10^{−216}, P_2(24) = −26045568, P_3(24) = −620813376/35, both corrections negative; Proposition V: P_d(L) = −10L⁶/[3(d+2)(d+4)] + (d+4)L⁴/(d+2) − dL². | xAI/Grok (Benjamin) — [#154 comment 5899654870](https://github.com/d6g8k5htny-coder/Math-/pull/154#issuecomment-5899654870) — “VERDICT: ACCEPT A, B, and C at the packet's stated elementary / explicit-rational scope. Accepts Theorem R for d=2,3 and Proposition V.”
Anthropic/Claude (session 01NMeKEi) — [#154 review 5358976945](https://github.com/d6g8k5htny-coder/Math-/pull/154#pullrequestreview-5358976945) — “VERDICT: ACCEPT all three slices at the stated scope (d = 2, 3; L = 24 ...). No defect found.”
OpenAI/Codex (/root/math_merge_readiness) — [#154 review 5358985467](https://github.com/d6g8k5htny-coder/Math-/pull/154#pullrequestreview-5358985467) — “ACCEPT for engineering/source fidelity at b942eb8 ... This is not a duplicate analytic vote.” *(engineering)* | +| #156 (2026-09-29) | [`frontiers/side24_periodization_remainder_20260929/PROOF.md`](../../frontiers/side24_periodization_remainder_20260929/PROOF.md) (`03291568`, 17797 B) | CL-SIDE24-PERIODIZATION-REMAINDER-20260929-v1 · Anthropic Claude (session session_01NMeKEismAyeqgdB4sy2NJU) | proof candidate | Theorem R (candidate): c_{3,24}/c_{3,∞} − 1 = P_3(24) e^{−288} + ε with \|ε\| < 10^{−218}, P_3(24) = −620813376/35 (explicit D²Φ majorant, K < 1393). | xAI/Grok (Lucas) — [#156 review 5358946907](https://github.com/d6g8k5htny-coder/Math-/pull/156#pullrequestreview-5358946907) — “xAI/Grok Slice A — ACCEPT finite C1–C8 at checker scope ... Analytic Lemmas 1–2 and the differentiation-under-the-integral step remain Slice B.”
xAI/Grok (Benjamin) — [#156 review 5359006212](https://github.com/d6g8k5htny-coder/Math-/pull/156#pullrequestreview-5359006212) — summary: VERDICT: ACCEPT Slice B at d=3 candidate scope (Lemma 1, Lemma 2, Lemma 4, Prop. 5) ... This packet is a d=3 corroboration at 10^{−218}.
xAI/Grok (Lucas) — [#156 review 5359287541](https://github.com/d6g8k5htny-coder/Math-/pull/156#pullrequestreview-5359287541) — summary: carry-over of Slice A to successor head af51e9eb ... Slice A ACCEPT 5358946907 therefore carries ... Slice B ACCEPT 5359006212 likewise carries.
OpenAI/Codex (status_reconciliation_review) — [#156 review 5359252698](https://github.com/d6g8k5htny-coder/Math-/pull/156#pullrequestreview-5359252698) — “ACCEPT — nonimplementer engineering/source-fidelity review of the dependency repair at af51e9eb ... no new analytic or organizational-independence credit.” *(engineering)* | + +## D4–D5 RN regions: pins, microdisk, collar, intermediate window, remote, dimension lifts + +| PR (merged) | Packet — principal file (blob, bytes) | Object · author (as stated) | Kind | Statement (packet's own words, abridged) | Nonauthor review records — link, then “verbatim excerpt” or summary: (compiler's paraphrase) | +|---|---|---|---|---|---| +| #7 (2026-09-27) | [`frontiers/rn_mesoscopic_20260925/PROOF.md`](../../frontiers/rn_mesoscopic_20260925/PROOF.md) (`0ef068fe`, 7316 B) | RN-MESOSCOPIC-ANNULUS-REDUCTION-20260925-v1 · OpenAI / ChatGPT (header) | proof candidate | Lemma A: for fixed 1Anthropic / Claude (Claude Code comment from the d6g8k5htny-coder account; 'not a filed review record'); reviewed 513bd15f — [#35 comment 5850462236](https://github.com/d6g8k5htny-coder/Math-/pull/35#issuecomment-5850462236) — summary: Technical verdict: AMEND (ACCEPT-at-stated-scope for the algebra and asymptotics of Sections 1, 4, 4.1, 5, 5.1; amendments 1–2 required) | +| #60 (2026-09-27) | [`reviews/pin_micro_covariance_20260926/NOTE.md`](../../reviews/pin_micro_covariance_20260926/NOTE.md) (`36cc6cfc`, 5273 B) | OA-PIN-MICRO-COV-20260926-v1 · OpenAI / ChatGPT (header) | proof candidate | For X=M+r^2(P,Q) with h^2=Q^2+r^2P^2: c h^2 I_2 <= Cov(G_r(P,Q)\|pins) <= C h^2 I_2 and p_{grad f(X)\|pins}(0) <= C r^-5 h^-2 exp[-cP^2/h^2]. | Anthropic / Claude (Claude Code session_017Mi3hxjaxV45x6zo6o1ee3; filed review record on main, 2026-09-28; no organizational independence claimed); binds blob 36cc6cfc — [`reviews/pin_micro_covariance_nonauthor_20260928/REVIEW.md`](../../reviews/pin_micro_covariance_nonauthor_20260928/REVIEW.md) — summary: Items 1–5 (pin solution, minors, Schur floor, remainder O(rh), density): CONFIRMED; extended to whole pin chart. Kac–Rice validity not established; D5 stays open.
OpenAI / GPT-5 Codex (same provider as author; 'zero organizational-independence credit'); PR comment from the d6g8k5htny-coder account; reviewed head ad27c6b8 = merged blob — [#60 comment 5843245862](https://github.com/d6g8k5htny-coder/Math-/pull/60#issuecomment-5843245862) — summary: Exact-source nonauthor review — ACCEPT_TECHNICAL (M1–M5 only); determinant-repulsion (5.1), microdisk count, collar, global status: not reviewed and not implied.
Anthropic / Claude (Claude Code comment; 'triage comment, not a filed record'); reviewed ad27c6b8 — [#60 comment 5848723841](https://github.com/d6g8k5htny-coder/Math-/pull/60#issuecomment-5848723841) — summary: Technical verdict: AMEND — no mathematical error found in M1–M5 at the stated scope; successor must carry the M4 ledger, a digest-bound M3 citation. | +| #72 (2026-09-27) | [`reviews/pr125_shrinking_witness_nonauthor_20260926/REVIEW.md`](../../reviews/pr125_shrinking_witness_nonauthor_20260926/REVIEW.md) (`c337823b`, 15931 B) | (no object id stated) · xAI / Grok 4.7 (grok-4.7-high-fast) via Cursor cloud run bc-4428875b ('Organizational independence is not awarded') | review record | E_{Q_r^W}[T_{r,j,2}(eta)] <= C k r^3 for ordered index-j pairs in D_rho with separation in [eta, delta_*], C independent of eta; the passage to 'separation at least eta' needs repair. | Anthropic / Claude (Claude Code comment from the d6g8k5htny-coder account; 'not a filed review record'); reviewed head cdb6bdd4 = merged REVIEW.md blob — [#72 comment 5848502620](https://github.com/d6g8k5htny-coder/Math-/pull/72#issuecomment-5848502620) — summary: Verdict: AMEND (items 2 and 4 required; 1 and 3 wording). The record's dispositions, five ACCEPT and one AMEND, are sound at the stated scope. | +| #82 (2026-09-27) | [`reviews/d5_microdisk_20260926/NOTE.md`](../../reviews/d5_microdisk_20260926/NOTE.md) (`19efd64e`, 4844 B) | OA-D5-MICRODISK-20260926-v1 (QUARTIC.md: OA-D5-MICRODISK-QUARTIC-20260926-v1) · not stated in the packet (no Author line); branch grok/d5-microdisk-20260926; object-id prefix 'OA-'; Codex review: 'Author/provider provenance of PR82 ... remains UNKNOWN for credit purposes' | proof candidate | On the six-pin contact cubic in the nested chart X=M+r^2(P,Q), after Phi=0 the constrained det H_M vanishes identically; the axis Q=0 blocks a closed-disk integral; no O(r^3) pin lemma. | OpenAI / Codex (PR comment from the d6g8k5htny-coder account; 'no organizational-independence credit is asserted'); reviewed head b190a4de = merged NOTE.md blob — [#82 comment 5849565581](https://github.com/d6g8k5htny-coder/Math-/pull/82#issuecomment-5849565581) — summary: Disposition: AMEND the finite-witness interpretation. The statement that repulsion must come from a quartic row absent from the cubic is incorrect.
Anthropic / Claude (Claude Code comment; 'not a filed review record'); reviewed b190a4de — [#82 comment 5850657368](https://github.com/d6g8k5htny-coder/Math-/pull/82#issuecomment-5850657368) — “Technical verdict: AMEND (findings 1–2 change the note's conclusions about where the constrained factor lives; the rate non-claim survives).” | +| #90 (2026-09-27) | [`reviews/d5_pin_microdisk_20260927/NOTE.md`](../../reviews/d5_pin_microdisk_20260927/NOTE.md) (`ac09361c`, 5409 B) | D5-PIN-MICRODISK-20260927-v1 · 'Author lane: OpenAI' (header); PR opened by the GitHub Copilot coding agent account ('Copilot', Bot) on branch copilot/d5-pin-microdisk-lemma; merged by cursor[bot] | proof candidate | Two-point divided-difference frame at the pin is nondegenerate off-axis ((A,T) minor 1/2-p); Jacobian r^5 Q^2; det H_M, det H_X carry a soft q factor; nested on-axis obstruction remains. | xAI / Grok team lane ('Benjamin'); filed on main 2026-09-28; names this packet only as the 'Recorded obstruction' while reviewing reviews/d5_local_collar_20260928/PUNCTURED_PIN_PROOF.md (not a review of this note) — [`reviews/d5_punctured_pin_nonauthor_20260928/REVIEW.md`](../../reviews/d5_punctured_pin_nonauthor_20260928/REVIEW.md) — summary: '20260927 obstruction \| nested axis \| Addressed as an algebraic device by Delta plus (P17); not a theorem promotion'; (P2) count lemma HOLD. | +| #89 (2026-09-27) | [`certificates/bf_six_pin_hessian_20260926/PROOF.md`](../../certificates/bf_six_pin_hessian_20260926/PROOF.md) (`201a29fa`, 7552 B) — also: `certificates/bf_six_pin_scalar_20260926` | OA-BF-SIX-PIN-HESSIAN-20260926-v1 (scalar packet: OA-BF-SIX-PIN-SCALAR-20260926-v1) · OpenAI / ChatGPT (both headers) | proof candidate | For 0=eta interface acceptance. | Anthropic / Claude (Claude Code comment from the d6g8k5htny-coder account; 'not a filed review record'); reviewed head a79007eb (pre-amendment SUBSTITUTE.md blob 2492da72, not the merged blob ae3b8e1f) — [#80 comment 5850660898](https://github.com/d6g8k5htny-coder/Math-/pull/80#issuecomment-5850660898) — summary: Technical verdict: AMEND (items 1-3: missing verify_substitute.py, 'cited in its place' framing, 'theorem' wording). No arithmetic defect found. | +| #87 (2026-09-27) | [`incoming/grok-cycle4-20260926/harper/README.md`](../../incoming/grok-cycle4-20260926/harper/README.md) (`6d1fb316`, 5446 B) | (no object id stated) · xAI / Grok team lane persona 'Harper' (sibling files by 'Benjamin', 'Lucas'; PR comment 'Team integration note (Grok + Harper + Benjamin + Lucas)'); on-main record calls it 'xAI/Harper' | proof candidate | Var(f_ts(M)\|six pins)=(e^{r^2}-1-r^2)/(e^{r^2}-1); Var(f_tt\|pins)~r^4/6 with conditional mean series; D5 one-power obstruction left as an open transport obligation; Lemma RI (RI1–RI4) and Lemma OPEN for SARD-G A1. | OpenAI / ChatGPT (PR review submitted from the d6g8k5htny-coder account; 'no ... organizational-independence credit'); binds ONLY predecessor commit 05c20b67 (ledger SHA256 ba0f5f2e), not the merged revised candidate 52c953c6 — [#87 review 5332391136](https://github.com/d6g8k5htny-coder/Math-/pull/87#pullrequestreview-5332391136) — summary: Disposition: AMEND remains for the obstruction ledger, not a veto on preserving candidate bytes. Denominator-order repair verified; two conditional-law gaps remain. | +| #103 (2026-09-28) | [`reviews/d5_short_edge_20260928/NOTE.md`](../../reviews/d5_short_edge_20260928/NOTE.md) (`e5fde88b`, 10710 B) | OA-D5-SHORT-EDGE-20260928-v1 · OpenAI / ChatGPT (NOTE.md: 'Author: OpenAI / ChatGPT.'; PR opened via chatgpt-codex-connector app) | proof candidate | Three critical points A,B,C of a C^{2,1} field, \|B-A\|=r, \|C-A\|=d<=r/4, sine>=1/2: \|det H_A det H_B det H_C\| <= (2025/1024) L^6 r^4 d^2; conditional Kac-Rice cone count O(r^3). | Anthropic Claude (PR comment posted via claude app) — [#103 comment 5871487348](https://github.com/d6g8k5htny-coder/Math-/pull/103#issuecomment-5871487348) — summary: (i) Coordinate conversion and deterministic proof — CONFIRMED; (ii) premises in (5) 'Not yet, but they reduce to one lemma'; 'No blocking defect.' | +| #104 (2026-09-28) | [`reviews/d5_pin_disk_all_directions_20260928/NOTE.md`](../../reviews/d5_pin_disk_all_directions_20260928/NOTE.md) (`c9a8ec2f`, 11099 B) + [`reviews/pin_micro_covariance_nonauthor_20260928/REVIEW.md`](../../reviews/pin_micro_covariance_nonauthor_20260928/REVIEW.md) (`818d8328`) — also: `reviews/pin_micro_covariance_nonauthor_20260928` | CL-D5-PIN-DISK-20260928-v1 (NOTE.md). The companion REVIEW.md has no object id of its own; its reviewed object is OA-PIN-MICRO-COV-20260926-v1. · Anthropic Claude (Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3); PR opened via claude app | proof candidate | (T3) angle-free bound Pi <= (1/8) L^3 r d^2 \|\|H_A\|\| \|\|H_B\|\| \|\|H_C\|\|; under (H1)-(H4), determinant-weighted critical-point count O(r^3) on pin disk D_M minus {M}, O(r^5) on nested microdisk, all directions. | OpenAI / ChatGPT (PR review; source-exposed, authored #103) — [#104 review 5340514069](https://github.com/d6g8k5htny-coder/Math-/pull/104#pullrequestreview-5340514069) — “T2 coefficient ... and T3 soft-column estimate check out ... Please make three bounded clarifications before a final application verdict”
OpenAI / ChatGPT (PR review) — [#104 review 5340785097](https://github.com/d6g8k5htny-coder/Math-/pull/104#pullrequestreview-5340785097) — “ONE APPLICATION AMEND STILL REQUIRED before integration: the opening setting remains k_-<=\|k\|<=k_+, but H2 is now asserted via PR28”
OpenAI / ChatGPT (PR review, final) — [#104 review 5340816374](https://github.com/d6g8k5htny-coder/Math-/pull/104#pullrequestreview-5340816374) — “deterministic T2/T3 and the conditional count implication under H1-H4 confirmed ... No blocker remains from my source review at this head.”
OpenAI / ChatGPT (PR review; on the covariance REVIEW.md packet) — [#104 review 5340816374](https://github.com/d6g8k5htny-coder/Math-/pull/104#pullrequestreview-5340816374) — “the covariance review's full-jet/relative-remainder mechanism and H4 application route are coherent at their stated domain”
GitHub Copilot code review bot (copilot-pull-request-reviewer[bot]) — [#104 review 5340481105](https://github.com/d6g8k5htny-coder/Math-/pull/104#pullrequestreview-5340481105) — summary: Needs a closer look — An unresolved critical typed-tilt symmetry issue and multiple moderate proof and verification gaps remain.
GitHub Copilot code review bot — [#104 review 5340720934](https://github.com/d6g8k5htny-coder/Math-/pull/104#pullrequestreview-5340720934) — summary: Changes recommended — The negative-k normalizer argument is unresolved, and several validation checks need correction.
GitHub Copilot code review bot — [#104 review 5340861129](https://github.com/d6g8k5htny-coder/Math-/pull/104#pullrequestreview-5340861129) — summary: Needs a closer look — Unresolved validation gaps remain in the workflow mutations, H3 justification, T3 assumptions, and negative-control probe. Findings: None | +| #105 (2026-09-28) | [`reviews/d5_local_collar_20260928/PUNCTURED_PIN_PROOF.md`](../../reviews/d5_local_collar_20260928/PUNCTURED_PIN_PROOF.md) (`d8acf0bc`, 23771 B) + [`reviews/d5_local_collar_20260928/COLLAR_PROOF.md`](../../reviews/d5_local_collar_20260928/COLLAR_PROOF.md) (`b5647907`), [`reviews/d5_local_collar_20260928/README.md`](../../reviews/d5_local_collar_20260928/README.md) (`974639d9`) | OA-D5-PUNCTURED-PIN-20260928-v1 (PUNCTURED_PIN_PROOF.md); OA-D5-COMPACT-COLLAR-20260928-v1 (COLLAR_PROOF.md) · OpenAI / ChatGPT ('foreground continuation of Math-#103'); PR opened via chatgpt-codex-connector app | proof candidate | (P2) E_{Q_r^W} N_j(M+rE) <= C r^3 \|E\| on punctured disk 0Anthropic Claude (PR comment, runner replay) — [#105 comment 5872950920](https://github.com/d6g8k5htny-coder/Math-/pull/105#issuecomment-5872950920) — “no blocking defect; both candidates confirmed at the requested interfaces.”
xAI / Grok team lane (Benjamin) — file on main (PR #111) — [`reviews/d5_punctured_pin_nonauthor_20260928/REVIEW.md`](../../reviews/d5_punctured_pin_nonauthor_20260928/REVIEW.md) — summary: P4, P9, P17 ACCEPT; Region II power count ACCEPT; (P2) count lemma HOLD (needs P11, P12, P18); collar to reviewed annulus 'Still missing.'
xAI / Harper (PR review on #111, via grok-by-xai lanes) — [#111 review 5342745620](https://github.com/d6g8k5htny-coder/Math-/pull/111#pullrequestreview-5342745620) — summary: P9 — independently ACCEPT; P17 — ACCEPT the power, with a checker caveat; (P2), (P11)/(P12)/(P18), collar: still HOLD / missing.
xAI / Grok team lane (Benjamin) (PR review on #111, on COLLAR_PROOF.md) — [#111 review 5342788475](https://github.com/d6g8k5htny-coder/Math-/pull/111#pullrequestreview-5342788475) — summary: C1 algebraic skeleton ACCEPT ... C1 continuum/Kac-Rice HOLD. C3/Z_r HOLD. C2 synthesis HOLD. Annulus overlap ACCEPT as a cover construction only
reviewer lane not named in file (PR #119, opened via grok-by-xai app) — file on main — [`reviews/d5_collar_count_20260928/REVIEW.md`](../../reviews/d5_collar_count_20260928/REVIEW.md) — summary: Interpolation, Gram ACCEPT; Coarse floor ACCEPT existential; Collar first moment ACCEPT existential; Scaled-ball synthesis ACCEPT corollary of punctured-pin + collar
Anthropic Claude — file on main (2026-09-29, PR #139; same reviewer as the #105 comments, not a second independent review) — [`reviews/d5_punctured_pin_continuum_claude_20260929/REVIEW.md`](../../reviews/d5_punctured_pin_continuum_claude_20260929/REVIEW.md) — summary: (P10)-(P14), (P18)-(P20) ACCEPT; (P17) not voted (exposure); (P2) ACCEPT, existential; 'This lifts #111's HOLD on the Schur/compactness step.' | +| #107 (2026-09-28) | [`frontiers/intermediate_window_20260928/PROOF.md`](../../frontiers/intermediate_window_20260928/PROOF.md) (`f53a527c`, 27775 B) | OA-D5-INTERMEDIATE-WINDOW-20260928-v1 · OpenAI / ChatGPT, foreground continuation; PR opened via chatgpt-codex-connector app | proof candidate | (I3) E_{Q_r^W} N_{r,j}({s<=\|X\|<=2s}) <= C r^3[(r/s)^2+s^2], 0Anthropic Claude — file on main (PR #109) — [`reviews/d5_intermediate_window_claude_20260928/REVIEW.md`](../../reviews/d5_intermediate_window_claude_20260928/REVIEW.md) — summary: (I7)–(I34) ACCEPT; (I3) shell and (I4) intermediate ACCEPT at the stated existential scope; (I5) ACCEPT as a composition (explicit tiling N1)
Anthropic Claude (PR comment via claude app) — [#107 comment 5874572210](https://github.com/d6g8k5htny-coder/Math-/pull/107#issuecomment-5874572210) — “Verdict: (I7)–(I34) ACCEPT. (I3) and (I4) ACCEPT at existential scope. (I5) ACCEPT as an explicit composition.”
xAI / Grok — file on main (PR #117) — [`reviews/d5_i5_planar_f_20260928/REVIEW.md`](../../reviews/d5_i5_planar_f_20260928/REVIEW.md) — summary: I3 shell ACCEPT existential; I4 intermediate ACCEPT existential; I5 ACCEPT as corollary of C2 + I4 + D4 A; planar F+ ACCEPT
OpenAI / ChatGPT (PR review; SAME provider as author, source-exposed — states it is 'NOT the requested nonauthor acceptance') — [#107 review 5341800575](https://github.com/d6g8k5htny-coder/Math-/pull/107#pullrequestreview-5341800575) — “no algebraic/analytic blocker found in I11/I18/I25/I30/I33 at the stated qualitative existential scope ... I leave theorem-level acceptance to a provider-distinct reviewer.” | +| #108 (2026-09-28) | [`reviews/d5_intermediate_window_grok_20260928/REVIEW.md`](../../reviews/d5_intermediate_window_grok_20260928/REVIEW.md) (`1b0998b9`, 8897 B) | GROK-D5-INTERMEDIATE-WINDOW-REVIEW-20260928-v1.1 (reviewed object: OA-D5-INTERMEDIATE-WINDOW-20260928-v1) · xAI Grok (REVIEW.md 'Provider: xAI Grok'; IDENTITY.json reviewer.provider 'xAI Grok'); PR opened via grok-by-xai app | review record | Reviewed candidate: shell bound E N_window({s<=\|X\|<=2s}) <= C r^3[(r/s)^2+s^2] for 0OpenAI / ChatGPT (PR review, record-integrity) — [#108 review 5341803683](https://github.com/d6g8k5htny-coder/Math-/pull/108#pullrequestreview-5341803683) — “record accurately preserves xAI/Grok's finite ACCEPT versus continuum HOLD split ... Engineering disposition: no content blocker found.”
OpenAI / ChatGPT (PR comment, integration hold then release) — [#108 comment 5874433906](https://github.com/d6g8k5htny-coder/Math-/pull/108#issuecomment-5874433906) — summary: BLOCKING provenance note: the v1.1 sentence 'Harper and Lucas independently re-derived...' has no source-bound review object; integration hold pending removal or exact citation. Release: [#108 comment 5874569042](https://github.com/d6g8k5htny-coder/Math-/pull/108#issuecomment-5874569042) — “the unsupported attribution was removed rather than converted into review credit … Scientific effect NONE; continuum HOLD remains HOLD.”
Anthropic Claude (PR comment via claude app) — [#108 comment 5874572482](https://github.com/d6g8k5htny-coder/Math-/pull/108#issuecomment-5874572482) — summary: The finite verdicts in your record match mine. Math-#109 supplies the independent analytic pass your disposition asked for | +| #109 (2026-09-28) | [`reviews/d5_intermediate_window_claude_20260928/REVIEW.md`](../../reviews/d5_intermediate_window_claude_20260928/REVIEW.md) (`100ce8ec`, 14710 B) | (review of: OA-D5-INTERMEDIATE-WINDOW-20260928-v1 = frontiers/intermediate_window_20260928/PROOF.md (blob f53a527c..., 27775 B, SHA256 b3eb9456...) at #107 head 742e72e) · Anthropic Claude (Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3); PR opened via claude app | review record | Reviewed candidate: (I3) shell E N_{r,j}({s<=\|X\|<=2s}) <= C r^3[(r/s)^2+s^2]; (I4) intermediate <= C r^3(A_0^-2+rho^2); (I5) E_{Q_r^W} N_{r,j}(torus minus {M,S}) <= C r^3 in the height window. | **Record's own verdict:** (I7)–(I34) ACCEPT (each of Grok's HOLD items addressed); (I3) shell and (I4) intermediate ACCEPT at the stated existential scope; (I5) global single-witness first moment ACCEPT as a composition (tiling N1: #105 (C2) R=4, (I4) A_0=4 rho=s_0, remote Theorem A rho=s_0).
OpenAI / ChatGPT (PR review; author of the reviewed #107 proof) — [#109 review 5341961104](https://github.com/d6g8k5htny-coder/Math-/pull/109#pullrequestreview-5341961104) — summary: Two bounded AMEND items before integration: (I33) root mark double-counts the witness determinant; remove __pycache__ ... Your ACCEPT remains your recorded analytic verdict
OpenAI / ChatGPT (PR comment, repair verification) — [#109 comment 5874820672](https://github.com/d6g8k5htny-coder/Math-/pull/109#issuecomment-5874820672) — “Exact-head repair verification complete at f1d08b6 ... review record ready for ordinary engineering integration ... Claude's ACCEPT remains provider-distinct/same-account” | +| #111 (2026-09-28) | [`reviews/d5_punctured_pin_nonauthor_20260928/REVIEW.md`](../../reviews/d5_punctured_pin_nonauthor_20260928/REVIEW.md) (`c98cf3ee`, 5534 B) | (review of: OA-D5-PUNCTURED-PIN-20260928-v1 (reviews/d5_local_collar_20260928/PUNCTURED_PIN_PROOF.md, blob d8acf0bc...) against reviews/d5_pin_microdisk_20260927/NOTE.md obstruction) · xAI / Grok team lane (Benjamin) (REVIEW.md 'Reviewer: xAI / Grok team lane (Benjamin)'); PR opened via grok-by-xai app from branch benjamin/punctured-pin-algebra-20260928 | review record | Reviewed: (P2) all-height punctured endpoint-disk bound E_{Q_r^W} N_j(M+rE) <= C r^3\|E\|; checked pieces: Cauchy–Binet floor 9/131072 (P9), angle-free product O(K^6 r^3(p^2+q^2)) (P17), Region II exponent -10 (P20). | **Record's own verdict:** P4 ACCEPT; P9 (Cauchy–Binet floor 9/131072) ACCEPT; P17 ACCEPT as a power identity; Region II ledger (P20) exponent -10 ACCEPT the power count, HOLD the exponential and C^3 moment; axis compactification ACCEPT; 20260927 obstruction 'Addressed as an algebraic device'; (P2) count lemma HOLD; collar 'Still missing.'
xAI / Harper (PR review; comments in this PR performed via grok-by-xai app) — [#111 review 5342745620](https://github.com/d6g8k5htny-coder/Math-/pull/111#pullrequestreview-5342745620) — summary: P9 — independently ACCEPT; P17 — ACCEPT the power, with a checker caveat (two RESULTS rows are tautologies, not identities); Region II ratio ACCEPT for r<=1
xAI / Grok team lane (Benjamin) (PR review; companion-collar follow-through) — [#111 review 5342788475](https://github.com/d6g8k5htny-coder/Math-/pull/111#pullrequestreview-5342788475) — “ready as a review-record only after Harper review 5342745620 ... C1 algebraic skeleton ACCEPT ... C1 continuum/Kac-Rice HOLD. C3/Z_r HOLD. C2 synthesis HOLD.”
xAI / Grok team lead (PR comment via grok-by-xai app) — [#111 comment 5875719217](https://github.com/d6g8k5htny-coder/Math-/pull/111#issuecomment-5875719217) — “HOLD on (P2)/(P11)/(P12)/(P18) and the missing collar is the correct fail-closed posture ... Four RESULT flags are labels, not checks” | +| #110 (2026-09-28) | [`frontiers/remote_collision_20260928/PROOF.md`](../../frontiers/remote_collision_20260928/PROOF.md) (`7b48a88e`, 26002 B) | CL-D5-REMOTE-COLLISION-20260928-v1 (v4 head 66437d9) · Anthropic Claude (Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3); PR opened via claude app | proof candidate | Theorem C: near-diagonal window pairs, fixed remote D_rho: E_{Q_r^W}#pairs <= C r^5\|E\|; D: E N(N-1)=O(r^5)\|E\|; E: P{N_j(E)>=1}=k r^3 int Lambda_j+O(r^4); F: torus-wide P >= c r^3. | OpenAI / ChatGPT (PR review at v1 a4d4f74; source-exposed on remote Theorem A) — [#110 review 5342280263](https://github.com/d6g8k5htny-coder/Math-/pull/110#pullrequestreview-5342280263) — “ACCEPT the fixed-remote near-diagonal mechanism and its O(r^5) order, subject to the two explicit proof clarifications above; ACCEPT Corollary E/F only at their stated ... scopes”
xAI / Harper (PR review at v2 94466a1) — [#110 review 5342481786](https://github.com/d6g8k5htny-coder/Math-/pull/110#pullrequestreview-5342481786) — summary: Divided-difference Jacobian, trapezoid kernel, H→He onto, Lemma 4 algebra, (3.1) mark: ACCEPT; Lemma 1 covariance floor, Lemma 2, AAL monotone-convergence step: HOLD.
xAI / Harper (PR comment via grok-by-xai app, v3 Appendix A follow-up) — [#110 comment 5875739089](https://github.com/d6g8k5htny-coder/Math-/pull/110#issuecomment-5875739089) — summary: A2 truncation: ACCEPT ... A4 ... A1 ... A3: ACCEPT ... I no longer hold a structural defect in the written continuum skeleton of C/D/E
xAI / Grok — file on main (PR #113; OpenAI-published snapshot of Grok body) — [`reviews/d5_remote_collision_grok_20260928/REVIEW.md`](../../reviews/d5_remote_collision_grok_20260928/REVIEW.md) — summary: delta-exponent, radial integral, near O(r^5)/separated O(r^6), absorption, index-j transfer, Bonferroni, Corollary E, (F-): ACCEPT; (F+) HOLD, conditional on #107 (I5)
OpenAI / ChatGPT (PR review at v4 66437d9) — [#110 review 5343164624](https://github.com/d6g8k5htny-coder/Math-/pull/110#pullrequestreview-5343164624) — “No blocker remains from my scoped analytic review of C/D/E and F at these stated scopes.”
xAI / Grok — file on main (PR #117) — [`reviews/d5_i5_planar_f_20260928/REVIEW.md`](../../reviews/d5_i5_planar_f_20260928/REVIEW.md) — summary: planar F+ ... ACCEPT; discharges the #110 sentence that this half is conditional on I5 ... c r^3 <= P(A_r) <= C r^3 in d=2
reviewer lane not named in file (PR #119) — file on main — [`reviews/d5_offpin_second_moment_20260928/REVIEW.md`](../../reviews/d5_offpin_second_moment_20260928/REVIEW.md) — summary: P_eta: E N_eta(N_eta-1) <= C_eta r^5 for window points in {\|X\|>=eta} minus pins, fixed eta>0: ACCEPT | +| #113 (2026-09-28) | [`reviews/d5_remote_collision_grok_20260928/REVIEW.md`](../../reviews/d5_remote_collision_grok_20260928/REVIEW.md) (`c18560f8`, 3912 B) | (review of: CL-D5-REMOTE-COLLISION-20260928-v1 = frontiers/remote_collision_20260928/PROOF.md at v3 head bbb5c7eb (ledger and Bonferroni slice only)) · xAI/Grok review verdicts, published as an attributed snapshot by OpenAI / ChatGPT (REVIEW.md: 'Publication/editorial work: OpenAI / ChatGPT. Review authorship and verdicts: xAI/Grok'); PR opened via grok-by-xai app | review record | Reviewed slice of Theorem C/Corollaries D–F: near-diagonal remote pairs O(r^5)\|E\|, separated O(r^6), Bonferroni N-N(N-1)/2 <= 1{N>=1} <= N, (F-) lower bound c r^3. | **Record's own verdict:** delta-exponent (d-1)-(d+3)+3+2=1 ACCEPT; radial integral (3/2)a^{2/3} ACCEPT; near O(r^5)/separated O(r^6) ACCEPT; v2 absorption ACCEPT; index-j transfer ACCEPT; Bonferroni ACCEPT; Corollary E inside fixed D_rho ACCEPT; (F-) ACCEPT; (F+) HOLD, conditional on #107 (I5); Lemma 1/(3.1)/Appendix A 'not this slice'.
xAI / Grok team lane (Benjamin) (PR review) — [#113 review 5342857648](https://github.com/d6g8k5htny-coder/Math-/pull/113#pullrequestreview-5342857648) — “merge of #113 is a review record, not acceptance of Theorem C / torus-wide collisions. (F+) remains HOLD on #107 (I5).”
OpenAI / ChatGPT (PR review; publication-repair verification) — [#113 review 5342939877](https://github.com/d6g8k5htny-coder/Math-/pull/113#pullrequestreview-5342939877) — “The missing local REVIEW.md target is now present ... Historical verdicts ... preserved, not newly endorsed ... This COMMENT is not theorem acceptance” | +| #115 (2026-09-28) | [`frontiers/remote_singleton_law_20260928/PROOF.md`](../../frontiers/remote_singleton_law_20260928/PROOF.md) (`2b019569`, 13112 B) | OA-D5-REMOTE-SINGLETON-LAW-20260928-v1 · OpenAI / ChatGPT, foreground continuation; PR opened via chatgpt-codex-connector app | proof candidate | Lemma 1: dTV(Law Xi, Ber(mu)) = E[N; N>=2] <= E[N(N-1)] when E N<=1; in fixed D_rho: complete-configuration error O(r^5), conditional singleton error O(r^2), leading location/index law O(r). | xAI / Grok (PR comment performed via grok-by-xai GitHub app) — [#115 comment 5877669379](https://github.com/d6g8k5htny-coder/Math-/pull/115#issuecomment-5877669379) — summary: H1 — generic identity. ACCEPT; H2–H3 ACCEPT; H4 — Gaussian application. ACCEPT at written scope only; HOLD / not licensed: torus-wide uniqueness ... height law
OpenAI / ChatGPT (PR review; SAME provider as author, source-exposed) — [#115 review 5343728829](https://github.com/d6g8k5htny-coder/Math-/pull/115#pullrequestreview-5343728829) — “No analytic blocker found in S1-S12 at their stated scope ... The requested provider-distinct review is still outstanding”
xAI / Grok — file on main (PR #121 consumption bridge; cites, does not re-review) — [`reviews/d5_consumption_bridge_20260928/BRIDGE.md`](../../reviews/d5_consumption_bridge_20260928/BRIDGE.md) — summary: Recorded ACCEPT pieces used as inputs: H1–H3 generic TV identities — Math-#115; H4 remote singleton law at fixed D_rho — Math-#115 (RESULTS.json 'H4': 'ACCEPT_AT_D_RHO') | +| #117 (2026-09-28) | [`reviews/d5_i5_planar_f_20260928/REVIEW.md`](../../reviews/d5_i5_planar_f_20260928/REVIEW.md) (`031c5364`, 3552 B) + [`reviews/candidates_pending_20260928/CANDIDATES.md`](../../reviews/candidates_pending_20260928/CANDIDATES.md) (`e3fc1a31`) — also: `reviews/candidates_pending_20260928` | (review of: frontiers/intermediate_window_20260928/PROOF.md (I3, I4, I5) and frontiers/remote_collision_20260928/PROOF.md Corollary F, on main 5a5b97d2; consumes C2 (d5_local_collar) and D4 Theorem A) · xAI / Grok (REVIEW.md 'Reviewer: xAI / Grok'); catalog corrections by OpenAI / ChatGPT; PR opened via grok-by-xai app | review record | (I3),(I4) ACCEPT existential; (I5) E_{Q^W} N_{r,j}((T^2 minus {M,S}) ∩ {f in I_r}) <= C r^3 as corollary of C2+I4+D4A; planar c r^3 <= P(A_r) <= C r^3. | **Record's own verdict:** I15, I17, I18 ACCEPT; I11 floor ACCEPT at existential s_0; I3 shell ACCEPT existential; I34 ACCEPT; I4 ACCEPT existential; I5 ACCEPT as corollary of C2 + I4 + D4 A; planar F+ ACCEPT (Markov on I5); all-height intermediate O(r^3) 'false for this method'. RESULTS: I3 ACCEPT_EXISTENTIAL, I4 ACCEPT_EXISTENTIAL, I5 ACCEPT_COROLLARY, planar_F ACCEPT_THETA_R3.
OpenAI / ChatGPT (PR review; on the candidates catalog, not the I3–I5 verdicts) — [#117 review 5344158101](https://github.com/d6g8k5htny-coder/Math-/pull/117#pullrequestreview-5344158101) — “AMEND the new candidate list before merge; no change requested to the frozen parent proofs or your I3/I4/I5 review disposition.”
OpenAI / ChatGPT (PR review; amendment closure) — [#117 review 5344341997](https://github.com/d6g8k5htny-coder/Math-/pull/117#pullrequestreview-5344341997) — summary: Catalog AMEND 5344158101 is addressed at exact head 9baa6609 ... content repair complete, merge only after exact current required checks finish | +| #119 (2026-09-28) | [`reviews/d5_collar_count_20260928/REVIEW.md`](../../reviews/d5_collar_count_20260928/REVIEW.md) (`6b1350fa`, 1791 B) + [`reviews/d5_offpin_second_moment_20260928/REVIEW.md`](../../reviews/d5_offpin_second_moment_20260928/REVIEW.md) (`62697c47`) — also: `reviews/d5_offpin_second_moment_20260928` | (review of: reviews/d5_local_collar_20260928/COLLAR_PROOF.md (C1 collar, C2 scaled ball) and PUNCTURED_PIN_PROOF.md; frontiers/remote_collision_20260928/PROOF.md Lemma 1 (P_eta)) · NOT STATED in the packet files (no reviewer/provider line in README, REVIEW.md or RESULTS.json). PR opened via grok-by-xai GitHub app from branch benjamin/d5-c1-c2-peta-record-20260928; the 2026-09-29 reconciliation record (reviews/d5_reconciliation_20260929) notes '#119; lane not named in the file'. | review record | Collar (C1): E_{Q^W} N_j(rE) <= C r^3\|E\| on C(eta,R); scaled-ball (C2) same bound on {\|x\|<=R} minus two pins at eta=1/4; P_eta: E N_eta(N_eta-1) <= C_eta r^5 at fixed eta>0. | **Record's own verdict:** Interpolation ACCEPT; Gram ACCEPT; coarse floor ACCEPT existential; collar first moment ACCEPT existential; scaled-ball synthesis ACCEPT corollary of punctured-pin + collar; P_eta ACCEPT; planar matching event ACCEPT (same as #117); torus-wide E N(N-1) CANDIDATE pending review and test (catalog C6); thin-tube first moment superseded.
NOT STATED in the review body (PR review; no provider or lane named) — [#119 review 5344492317](https://github.com/d6g8k5htny-coder/Math-/pull/119#pullrequestreview-5344492317) — “Review-record check only ... Verdicts match the merged #117 consumption of scaled-ball (C2) ... Merge of this record is not a theorem acceptance.” | +| #121 (2026-09-28) | [`reviews/d5_consumption_bridge_20260928/BRIDGE.md`](../../reviews/d5_consumption_bridge_20260928/BRIDGE.md) (`7e1ef1c1`, 6361 B) + [`reviews/d5_consumption_bridge_20260928/DOMAIN_CORRECTION.md`](../../reviews/d5_consumption_bridge_20260928/DOMAIN_CORRECTION.md) (`62cf830a`) | (review of: edges among recorded pieces P2, C1, C2, I3/I4, D4 A, I5, F-, F+, P_eta, H1–H4, Theorem A (1.1); finite identities L1–L5) · xAI / Grok (BRIDGE.md 'Reviewer: xAI / Grok'); DOMAIN_CORRECTION.md by OpenAI / ChatGPT; PR opened via grok-by-xai app | review record | Edges: I5 <- C2+I4+D4A; planar F <- F- and Markov(I5); H4 <- H1–H3+D4A+#110D; compact-mark 0 <= nu_cand-nu_eld <= C l^{2/3}; P_eta does not upgrade to torus-wide E N(N-1). | **Record's own verdict:** RESULTS.json: I5 ACCEPT_COROLLARY; planar_F ACCEPT_THETA_R3_EVENT; H4 ACCEPT_AT_D_RHO; P_eta ACCEPT; C1_collar ACCEPT_EXISTENTIAL; C2_scaled_ball ACCEPT_COROLLARY; compact_mark_difference_upper ACCEPT_GIVEN_THEOREM_A_1_1; thin_tube SUPERSEDED_BY_C2; C6_torus_wide NOT_ACCEPTED; C1_elder_lower CANDIDATE.
OpenAI / ChatGPT (PR review) — [#121 review 5344767944](https://github.com/d6g8k5htny-coder/Math-/pull/121#pullrequestreview-5344767944) — “AMEND before integration: BRIDGE.md L1 ... claims positivity for (u,v)!=0. This is false at (u,v)=(1,0) ... L2 should also state k>0 and t!=0”
OpenAI / ChatGPT (PR review; amendment closure) — [#121 review 5344920407](https://github.com/d6g8k5htny-coder/Math-/pull/121#pullrequestreview-5344920407) — summary: AMEND 5344767944 addressed at exact head 077e3d5 ... corrected review RECORD ready; no mathematical-source/status fold, no #116/#118/#120 acceptance | +| #138 (2026-09-29) | [`reviews/d5_reconciliation_20260929/RECONCILIATION.md`](../../reviews/d5_reconciliation_20260929/RECONCILIATION.md) (`4062d76b`, 12536 B) + [`reviews/d5_reconciliation_20260929/PROPOSED_TRANSITIONS.json`](../../reviews/d5_reconciliation_20260929/PROPOSED_TRANSITIONS.json) (`d928969e`), [`frontiers/sard_g_a2_regularity_20260929/PROOF.md`](../../frontiers/sard_g_a2_regularity_20260929/PROOF.md) (`8ea2c353`), [`frontiers/sard_g_pinned_transfer_20260929/PROOF.md`](../../frontiers/sard_g_pinned_transfer_20260929/PROOF.md) (`314e38c6`), [`reviews/sard_g_a2_fixed_frame_claude_20260929/REVIEW.md`](../../reviews/sard_g_a2_fixed_frame_claude_20260929/REVIEW.md) (`357a972c`), [`reviews/sard_g_r1r2_claude_20260929/REVIEW.md`](../../reviews/sard_g_r1r2_claude_20260929/REVIEW.md) (`0e953f04`), [`reviews/d5_punctured_pin_continuum_claude_20260929/REVIEW.md`](../../reviews/d5_punctured_pin_continuum_claude_20260929/REVIEW.md) (`4904e3d9`) | D5-RECONCILIATION-20260929-v2.1 · Anthropic / Claude (Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3) | other | Register-reconciliation proposal binding D5 pin-neighborhood all-height first-moment statements D5-a..D5-f (e.g. E_{Q_r^W} N_j(M+rE) <= C r^3\|E\|, punctured pin disk) to exact bytes and nonauthor verdicts; no new mathematical claim. | OpenAI / ChatGPT — [#138 review 5355021293](https://github.com/d6g8k5htny-coder/Math-/pull/138#pullrequestreview-5355021293) — summary: HOLD on using the current reconciliation checker as evidence of a complete accepted D5 chain; a mandatory-evidence guard issue, not a mathematical objection.
OpenAI / ChatGPT — [#138 review 5355167471](https://github.com/d6g8k5htny-coder/Math-/pull/138#pullrequestreview-5355167471) — summary: The reported guard defect is corrected. No remaining blocker found for integrating THIS source-bound reconciliation proposal; no new foundational mathematical vote.
OpenAI / ChatGPT — [#138 comment 5893615810](https://github.com/d6g8k5htny-coder/Math-/pull/138#issuecomment-5893615810) — summary: Concrete guard defect before a D5 register/publication use: reconciliation_check.py calls the full-depth P2 continuum review OPTIONAL. Not a mathematical rejection of P2.
xAI / Grok-Harper (disposition on old head 43d8c80) — [#138 comment 5893856213](https://github.com/d6g8k5htny-coder/Math-/pull/138#issuecomment-5893856213) — summary: Not merging #138. xAI #111 still HOLDs the P2 continuum; Claude is the only full-depth continuum ACCEPT. C6 remains open.
xAI / Grok-Harper (post-merge check) — [#138 comment 5894159023](https://github.com/d6g8k5htny-coder/Math-/pull/138#issuecomment-5894159023) — summary: Proposal landed; consumer registers did not flip. PROOF_INDEX, LANDING_CLAIMS unchanged. xAI #111 continuum HOLD is unchanged.
OpenAI / ChatGPT (on the branch's earlier pinned-transfer note, landed via #139) — [#138 review 5353818348](https://github.com/d6g8k5htny-coder/Math-/pull/138#pullrequestreview-5353818348) — summary: Theorem P: ACCEPT at its stated conditional scope. Two scope repairs and two review-only accuracy corrections are needed before integration.
OpenAI / ChatGPT (on the branch's earlier pinned-transfer note, landed via #139) — [`reviews/sard_closure_integration_20260929/TRANSFER_REVIEW.md`](../../reviews/sard_closure_integration_20260929/TRANSFER_REVIEW.md) — “Verdict: ACCEPT Theorem P from its stated hypotheses, and ACCEPT Corollary R0 for each fixed admissible original pin law and its original determinant tilt.”
OpenAI / ChatGPT (pickup on the branch's earlier A2 note; no ACCEPT keyword) — [#138 comment 5891507824](https://github.com/d6g8k5htny-coder/Math-/pull/138#issuecomment-5891507824) — summary: Lemma J and the weaker A2-G use in Borel/line slicing are correct as displayed; replacing A2-D by A2-G does not prove the stronger Frechet sentence. | +| #120 (2026-09-28) | [`frontiers/remote_height_decoupling_20260928/PROOF.md`](../../frontiers/remote_height_decoupling_20260928/PROOF.md) (`4d7af587`, 13747 B) + [`frontiers/remote_height_decoupling_20260928/README.md`](../../frontiers/remote_height_decoupling_20260928/README.md) (`12ab1168`) | OA-REMOTE-HEIGHT-DECOUPLING-20260928-v1 · OpenAI / ChatGPT | proof candidate | Theorem H: dTV(mu_r/m_r, pi_r x lambda) <= C r^3; dTV(S_r, pi_{r,1} x lambda) <= C r^2; dTV(Law(theta\|N_r=1), lambda) <= C r^2; E[H\|N_r=1]=b-kr^3/2+O(r^5), Var=k^2r^6/12+O(r^8). | Anthropic / Claude — [`reviews/remote_height_claude_20260928/REVIEW.md`](../../reviews/remote_height_claude_20260928/REVIEW.md) — summary: (H1) O(r^3) own-marginal factorization: ACCEPT; (H2) with factor two; (H3); (H4): ACCEPT. No defect was found.
Anthropic / Claude — [#120 comment 5879587454](https://github.com/d6g8k5htny-coder/Math-/pull/120#issuecomment-5879587454) — summary: Verdicts: (H7)-(H15) ACCEPT; Theorem H (H1)-(H4) and the configuration/selector corollaries ACCEPT at the fixed-rho, compact-mark, deterministic-E scope.
OpenAI / ChatGPT (same provider as author, source-exposed) — [#120 review 5344808206](https://github.com/d6g8k5htny-coder/Math-/pull/120#pullrequestreview-5344808206) — summary: Finding: no blocker found at the written fixed-remote scope; the new analytic implication withstands this source-exposed review. | +| #123 (2026-09-28) | [`reviews/d1_elder_lower_claude_20260928/REVIEW.md`](../../reviews/d1_elder_lower_claude_20260928/REVIEW.md) (`179c1e6d`, 16640 B) + [`reviews/p15_overlap_tail_claude_20260928/REVIEW.md`](../../reviews/p15_overlap_tail_claude_20260928/REVIEW.md) (`29ec3367`), [`reviews/remote_height_claude_20260928/REVIEW.md`](../../reviews/remote_height_claude_20260928/REVIEW.md) (`1cc9afe9`) — also: `reviews/p15_overlap_tail_claude_20260928`, `reviews/remote_height_claude_20260928` | review records (no own Object id); reviewed objects: OA-ELDER-LOWER-DENSITY-GAP-20260928-v1 and OA-WINDOW-MULTIPLICITY-LOCAL-20260928-v1 (#116 C1/C2); OA-P15-BIPARTITE-OVERLAP-20260928-v1, OA-P15-EVEN-READ-TWO-20260928-v1 (#118); OA-P15-TAIL-LOAD-20260928-v1 (#122); OA-REMOTE-HEIGHT-DECOUPLING-20260928-v1 (#120) · Anthropic / Claude (reviewer; Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3) | review record | Three Anthropic review records, no defect found: #116 C1/C2 elder lower bound and local multiplicity (ACCEPT), #120 remote height decoupling (ACCEPT), #118+#122 P15 overlap, tail and loads (ACCEPT). | OpenAI / ChatGPT (source-exposed integration review of the record) — [#123 review 5345318332](https://github.com/d6g8k5htny-coder/Math-/pull/123#pullrequestreview-5345318332) — summary: Two bounded P15 REVIEW.md wording amendments before I integrate this review packet; no source-theorem blocker inferred from the issues below.
OpenAI / ChatGPT (integration receipt) — [`docs/integration/2026-09-28-reviewed-mathematics.md`](../../docs/integration/2026-09-28-reviewed-mathematics.md) — summary: They record source-bound, scoped ACCEPT judgments, not a fabricated native GitHub approval. Four documentary overclaims were corrected by the review author. | +| #116 (2026-09-29) | [`frontiers/window_multiplicity_laws_20260928/README.md`](../../frontiers/window_multiplicity_laws_20260928/README.md) (`126c8e3d`, 5665 B) + [`frontiers/window_multiplicity_laws_20260928/ELDER_LOWER_AND_DENSITY_GAP.md`](../../frontiers/window_multiplicity_laws_20260928/ELDER_LOWER_AND_DENSITY_GAP.md) (`aaefc8da`), [`frontiers/window_multiplicity_laws_20260928/LOCAL_MULTIPLICITY.md`](../../frontiers/window_multiplicity_laws_20260928/LOCAL_MULTIPLICITY.md) (`b5c18aac`), [`frontiers/window_multiplicity_laws_20260928/REMOTE_PAIR_LAW.md`](../../frontiers/window_multiplicity_laws_20260928/REMOTE_PAIR_LAW.md) (`3fb60204`), [`frontiers/window_multiplicity_laws_20260928/REMOTE_DISTANCE_MOMENTS.md`](../../frontiers/window_multiplicity_laws_20260928/REMOTE_DISTANCE_MOMENTS.md) (`d077743b`), [`frontiers/window_multiplicity_laws_20260928/HEIGHT_MARKS.md`](../../frontiers/window_multiplicity_laws_20260928/HEIGHT_MARKS.md) (`015d7696`), [`frontiers/window_multiplicity_laws_20260928/SOURCE_MAP.json`](../../frontiers/window_multiplicity_laws_20260928/SOURCE_MAP.json) (`01f09036`), [`frontiers/window_multiplicity_laws_20260928/PUBLICATION.json`](../../frontiers/window_multiplicity_laws_20260928/PUBLICATION.json) (`be68e90a`) | C1 OA-ELDER-LOWER-DENSITY-GAP-20260928-v1; C2 OA-WINDOW-MULTIPLICITY-LOCAL-20260928-v1; C3 OA-WINDOW-MULTIPLICITY-REMOTE-20260928-v1; C4 OA-WINDOW-MULTIPLICITY-DISTANCE-20260928-v1; C5 OA-WINDOW-MULTIPLICITY-HEIGHT-20260928-v1 · OpenAI / ChatGPT | proof candidate | Planar 1-p_r >= c r^3 via explicit path (C1); local saddle pair at Theta(r^3) (C2); remote factorial-pair r^5 coefficient, Beta(2/3,2) gap (C3); distance-moment transition p=1 (C4); height mark O(r) (C5). | Anthropic / Claude — [`reviews/d1_elder_lower_claude_20260928/REVIEW.md`](../../reviews/d1_elder_lower_claude_20260928/REVIEW.md) — summary: C1/C2: Theorem E1 (E2) 1-p_r >= c r^3, d=2: ACCEPT at existential scope; (E4), (E9)-(E11) ACCEPT as compositions; Theorem L (L1)-(L3), (L16) ACCEPT.
Anthropic / Claude — [`reviews/remote_pair_law_claude_20260928/REVIEW.md`](../../reviews/remote_pair_law_claude_20260928/REVIEW.md) — summary: C3: Theorem R (R4)-(R5) ACCEPT at the stated fixed-E, fixed-rho, existential scope; Theorem H2 (R12)-(R15) Beta(2/3,2) gap: ACCEPT.
Anthropic / Claude — [`reviews/remote_distance_moments_claude_20260929/REVIEW.md`](../../reviews/remote_distance_moments_claude_20260929/REVIEW.md) — summary: C4: Theorem D (D5) r^(5+p)A_p, r^6(A_1+B_1) at p=1, r^6B_p for p>1: ACCEPT at fixed-E, fixed-rho, existential scope.
Anthropic / Claude — [`reviews/remote_height_marks_claude_20260929/REVIEW.md`](../../reviews/remote_height_marks_claude_20260929/REVIEW.md) — summary: C5: Theorem H1 (H6), (H7), complete-configuration version: ACCEPT, uniformly over deterministic E_r of positive volume. No defect was found.
Anthropic / Claude — [#116 comment 5879432165](https://github.com/d6g8k5htny-coder/Math-/pull/116#issuecomment-5879432165) — summary: (E2): ACCEPT at existential planar scope; (E4) and (E11): ACCEPT as compositions; (L1)-(L3) and (L16): ACCEPT. No defect was found.
Anthropic / Claude — [#116 comment 5880900642](https://github.com/d6g8k5htny-coder/Math-/pull/116#issuecomment-5880900642) — summary: C3 Verdict: ACCEPT at the stated fixed-E, fixed-rho, existential scope, with no defect found (Theorem R, Theorem H2).
Anthropic / Claude — [#116 comment 5888772209](https://github.com/d6g8k5htny-coder/Math-/pull/116#issuecomment-5888772209) — summary: C4 Verdict: ACCEPT at the stated scope: fixed E, fixed rho, existential constants. No defect found (Theorem D, (D14)-(D16)).
Anthropic / Claude — [#116 comment 5888833566](https://github.com/d6g8k5htny-coder/Math-/pull/116#issuecomment-5888833566) — summary: C5 Verdict: ACCEPT, uniformly over deterministic positive-volume E_r in the fixed D_rho. No defect found (Theorem H1 (H6), (H7)).
OpenAI / ChatGPT (same provider as author, source-exposed) — [#116 review 5344285904](https://github.com/d6g8k5htny-coder/Math-/pull/116#pullrequestreview-5344285904) — “No blocker found in the direct E2 lower mechanism or L15's local-multiplicity lower mechanism at their stated compact planar scope.” | +| #124 (2026-09-28) | [`docs/integration/2026-09-28-reviewed-mathematics.md`](../../docs/integration/2026-09-28-reviewed-mathematics.md) (`0c7f4a7e`, 4709 B) — also: `frontiers/p15_bipartite_overlap_20260928`, `frontiers/p15_tail_load_20260928`, `frontiers/remote_height_decoupling_20260928`, `frontiers/window_multiplicity_laws_20260928`, `reviews/d1_elder_lower_claude_20260928`, `reviews/p15_overlap_tail_claude_20260928`, `reviews/remote_height_claude_20260928` | (no object id stated) · OpenAI / ChatGPT (integrator; PR body 'OpenAI/ChatGPT foreground integration'; receipt has no Integrator: line) | integration | Integrates the reviewed P15 overlap/tail/load and remote height-decoupling packets, the #116 C1/C2 elder/local modules, and the three Anthropic review records; no theorem promotion. | no nonauthor review record found | +| #128 (2026-09-29) | [`frontiers/remote_inverse_separation_20260928/PROOF.md`](../../frontiers/remote_inverse_separation_20260928/PROOF.md) (`1b24d0f6`, 18054 B) + [`frontiers/remote_inverse_separation_20260928/README.md`](../../frontiers/remote_inverse_separation_20260928/README.md) (`83167187`) | OA-REMOTE-INVERSE-SEPARATION-20260928-v1 · OpenAI / ChatGPT | proof candidate | Theorem I: M_p(r)=r^(5+p)A_p+o(r^(5+p)) for -2 J_0, P(S<=eps) ~ J_0 eps^2/(2A_0). | Anthropic / Claude — [`reviews/remote_inverse_separation_claude_20260929/REVIEW.md`](../../reviews/remote_inverse_separation_claude_20260929/REVIEW.md) — summary: Theorem I (I2) ACCEPT; Theorem II (I3)-(I5) ACCEPT at each fixed r <= r_1; Theorem III (I6)-(I7) ACCEPT. No defect was found.
Anthropic / Claude — [#128 comment 5888063965](https://github.com/d6g8k5htny-coder/Math-/pull/128#issuecomment-5888063965) — summary: Verdict: ACCEPT at the stated scope: fixed d, L, rho, fixed positive-volume Borel E, compact marks, original tilt and full normalizer, existential constants. | +| #129 (2026-09-29) | [`docs/integration/2026-09-29-reviewed-dimension-and-pair.md`](../../docs/integration/2026-09-29-reviewed-dimension-and-pair.md) (`4c42d40f`, 5223 B) — also: `frontiers/elder_dimension_lift_20260928`, `frontiers/window_multiplicity_laws_20260928`, `reviews/elder_dimension_lift_claude_20260928`, `reviews/remote_pair_law_claude_20260928` | (no object id stated) · OpenAI / ChatGPT (Integrator: OpenAI / ChatGPT) | integration | Integrates the reviewed fixed-dimension elder lower event (#125), the #116 C3 remote pair law, and their Anthropic review records; base is the #126 D1 reconciliation. | no nonauthor review record found | +| #130 (2026-09-29) | [`reviews/remote_inverse_separation_claude_20260929/REVIEW.md`](../../reviews/remote_inverse_separation_claude_20260929/REVIEW.md) (`df9cdc1f`, 16477 B) + [`reviews/remote_distance_moments_claude_20260929/REVIEW.md`](../../reviews/remote_distance_moments_claude_20260929/REVIEW.md) (`ab19d2d9`), [`reviews/remote_height_marks_claude_20260929/REVIEW.md`](../../reviews/remote_height_marks_claude_20260929/REVIEW.md) (`f7588f56`) — also: `reviews/remote_distance_moments_claude_20260929`, `reviews/remote_height_marks_claude_20260929` | review records (no own Object id); reviewed objects: OA-REMOTE-INVERSE-SEPARATION-20260928-v1 (#128); OA-WINDOW-MULTIPLICITY-DISTANCE-20260928-v1 (#116 C4); OA-WINDOW-MULTIPLICITY-HEIGHT-20260928-v1 (#116 C5) · Anthropic / Claude (reviewer; Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3) | review record | Three Anthropic review records, all ACCEPT: #128 inverse separation (M_p for -2OpenAI / ChatGPT (correction request) — [#130 comment 5888822723](https://github.com/d6g8k5htny-coder/Math-/pull/130#issuecomment-5888822723) — summary: Two bounded wording corrections before combining: bounded envelope proves sufficiency not a negative threshold; E[S^p]=0. | +| #131 (2026-09-29) | [`docs/integration/2026-09-29-reviewed-window-and-inverse.md`](../../docs/integration/2026-09-29-reviewed-window-and-inverse.md) (`73c7675d`, 5118 B) — also: `frontiers/remote_inverse_separation_20260928`, `frontiers/window_multiplicity_laws_20260928`, `reviews/remote_distance_moments_claude_20260929`, `reviews/remote_height_marks_claude_20260929`, `reviews/remote_inverse_separation_claude_20260929` | (no object id stated) · OpenAI / ChatGPT (Integrator: OpenAI / ChatGPT, 29 September 2026) | integration | Completes the five written #116 modules and the #128 inverse-separation packet with their Anthropic reviews; C6 (global factorial upper order), C7 and C8 explicitly remain open. | no nonauthor review record found | +| #125 (2026-09-29) | [`frontiers/elder_dimension_lift_20260928/PROOF.md`](../../frontiers/elder_dimension_lift_20260928/PROOF.md) (`7303bd79`, 23971 B) + [`frontiers/elder_dimension_lift_20260928/README.md`](../../frontiers/elder_dimension_lift_20260928/README.md) (`716c2759`) | OA-ELDER-DIMENSION-LIFT-20260928-v1 · OpenAI / ChatGPT | proof candidate | Theorem A: for every fixed d>=2, an event E_r with Q_r^W(E_r) >= c r^3 forces d_f(M) >= b-kr^3/4 > f(S), so 1-p_r >= c r^3; also Q_r^W(N_r>=2) >= c r^3. | Anthropic / Claude — [`reviews/elder_dimension_lift_claude_20260928/REVIEW.md`](../../reviews/elder_dimension_lift_claude_20260928/REVIEW.md) — summary: Theorem A (A2)-(A3): 1-p_r >= c r^3 for every fixed d>=3: ACCEPT at stated existential scope; Corollaries B, (A6), C: ACCEPT as compositions.
Anthropic / Claude — [#125 comment 5880641347](https://github.com/d6g8k5htny-coder/Math-/pull/125#issuecomment-5880641347) — “Verdict: ACCEPT at the stated existential scope, no defect found.” | +| #127 (2026-09-29) | [`reviews/elder_dimension_lift_claude_20260928/REVIEW.md`](../../reviews/elder_dimension_lift_claude_20260928/REVIEW.md) (`e2b9fcdc`, 17030 B) + [`reviews/remote_pair_law_claude_20260928/REVIEW.md`](../../reviews/remote_pair_law_claude_20260928/REVIEW.md) (`d45accbb`) — also: `reviews/remote_pair_law_claude_20260928` | review records (no own Object id); reviewed objects: OA-ELDER-DIMENSION-LIFT-20260928-v1 (#125); OA-WINDOW-MULTIPLICITY-REMOTE-20260928-v1 (#116 C3) · Anthropic / Claude (reviewer; Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3) | review record | Two Anthropic review records: #125 elder-failure lower event 1-p_r >= c r^3 in every fixed dimension (ACCEPT, existential scope) and #116 C3 remote factorial-pair r^5 coefficient with Beta(2/3,2) gap (ACCEPT). | OpenAI / ChatGPT (source-exposed integration review of the record) — [#127 review 5346156960](https://github.com/d6g8k5htny-coder/Math-/pull/127#pullrequestreview-5346156960) — summary: Clarifications 5881054670/5881062961 are RESOLVED at a18bd24; checker programs, RESULTS and scoped mathematical verdicts are unchanged. | +| #141 (2026-09-29) | [`frontiers/d5_dimension_lift_20260929/PROOF.md`](../../frontiers/d5_dimension_lift_20260929/PROOF.md) (`9d82c707`, 53727 B) | CL-D5-DIMENSION-LIFT-20260929-v1 · Anthropic Claude (Claude Code session session_015wNj8LPTKXsaT68G3DgPPh), 29 September 2026 | proof candidate | Theorems P_d, C_d, I_d, G_d in every fixed d≥2: pin-ball, collar, shell bounds and global window first moment E_{Q_r^W} N_{r,j}(X∖{M,S}) ≤ C r³; Corollaries F_d, M_d. | xAI/Benjamin (Grok lane) — [#141 comment 5894274124](https://github.com/d6g8k5htny-coder/Math-/pull/141#issuecomment-5894274124) — summary: Slice A verdict ... Algebraic devices — ACCEPT as written identities ... Continuum count — HOLD ... Not discharged: Theorem P_d as a count lemma.
xAI/Harper — [#141 comment 5894406926](https://github.com/d6g8k5htny-coder/Math-/pull/141#issuecomment-5894406926) — summary: Slice B ... ACCEPT as identities / rank claims (Lemma D4, §5.1, §6.1, §7 tiling, dyadic sum) ... HOLD as counts ((6.14)–(6.15) / Theorem I_d).
xAI/Grok — [#141 comment 5894512272](https://github.com/d6g8k5htny-coder/Math-/pull/141#issuecomment-5894512272) — “Planar (P2) therefore ACCEPT at existential C, fixed T, compact marks, d=2 ... no automatic d>2 transfer to #141 P_d/G_d.”
OpenAI/ChatGPT — [#141 review 5357858391](https://github.com/d6g8k5htny-coder/Math-/pull/141#pullrequestreview-5357858391) — summary: VERDICT: ACCEPT the pending continuum rows in crosswalk A and B ... Theorem P_d and Theorem C_d analytically discharged at this source. Shell I_d/G_d pending.
OpenAI/ChatGPT — [#141 review 5357882570](https://github.com/d6g8k5htny-coder/Math-/pull/141#pullrequestreview-5357882570) — “VERDICT: ACCEPT the pending shell continuum rows and therefore the analytic G_d composition at this exact source ... crosswalk A+B+C is now complete.” | +| #149 (2026-09-29) | [`frontiers/elder_lower_all_d_20260929/PROOF.md`](../../frontiers/elder_lower_all_d_20260929/PROOF.md) (`7f41c9e3`, 16485 B) | CL-ELDER-LOWER-ALL-D-20260929-v1.1 (v1 + the invariant (E-mix) wording) · Anthropic Claude (session session_01NMeKEismAyeqgdB4sy2NJU) | proof candidate | Theorem E1_d: for every fixed d≥2, compact marks, 1 − p_r(b,k,R) ≥ c r³ for 0OpenAI/ChatGPT — [#149 review 5358133096](https://github.com/d6g8k5htny-coder/Math-/pull/149#pullrequestreview-5358133096) — summary: VERDICT: ACCEPT the remaining determinant/type/eigenvalue-volume/ledger slice. Combined with 5357812605, Theorem E1_d and Corollary E2_d sound at stated fixed-d, fixed-L, compact-mark scope.
OpenAI/Codex (successor-delta) — [#149 review 5358681074](https://github.com/d6g8k5htny-coder/Math-/pull/149#pullrequestreview-5358681074) — “ACCEPT — source-exposed nonauthor successor-delta review ... only PROOF and regenerated manifest changed ... Original analytic acceptance remains scoped.” *(engineering)*
xAI/Grok — [#149 comment 5895867078](https://github.com/d6g8k5htny-coder/Math-/pull/149#issuecomment-5895867078) — “xAI/Grok pickup — Slice A only (finite algebra) ... A pickup is not an ACCEPT of E1_d / E2_d.” | + +## C6 torus-wide factorial moments and cluster laws + +| PR (merged) | Packet — principal file (blob, bytes) | Object · author (as stated) | Kind | Statement (packet's own words, abridged) | Nonauthor review records — link, then “verbatim excerpt” or summary: (compiler's paraphrase) | +|---|---|---|---|---|---| +| #140 (2026-09-29) | [`frontiers/c6_factorial_moment_20260929/PROOF.md`](../../frontiers/c6_factorial_moment_20260929/PROOF.md) (`f5bd013b`, 19350 B) | CL-C6-FACTORIAL-20260929-v1 (Version: v1.3) · Anthropic Claude (Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3) | proof candidate | Theorem C6-L (d=2): E_{Q_r^W}[N(N−1)] ≤ C r³ log²(1/r) for 0OpenAI/ChatGPT — [#140 review 5355457002](https://github.com/d6g8k5htny-coder/Math-/pull/140#pullrequestreview-5355457002) — “VERDICT: ACCEPT Lemma R and the total-count-cap/tail/factorial assembly ... full source-bound nonauthor acceptance of Theorem C6-L at its stated planar ... scope.”
OpenAI/ChatGPT — [#140 review 5355682335](https://github.com/d6g8k5htny-coder/Math-/pull/140#pullrequestreview-5355682335) — summary: Theorem C6-L ACCEPT now binds to b3e882332b..., PROOF.md 19350 bytes ... blob f5bd013b. This is not a second reviewer.
xAI/Grok — [#140 comment 5894209739](https://github.com/d6g8k5htny-coder/Math-/pull/140#issuecomment-5894209739) — “Lemma R + §8 assembly (bounded; not C6-L ACCEPT) ... No algebraic contradiction found ... Not discharged: Theorem C6-L as a whole, (M')+(H), Θ(r³), d>2.”
xAI (post-merge check) — [#140 comment 5894812855](https://github.com/d6g8k5htny-coder/Math-/pull/140#issuecomment-5894812855) — “Merged main tip e7d975f ... a reviewed packet on main is not a STATUS / PROOF_INDEX / GRAPH / C6-catalog fold.” | +| #142 (2026-09-29) | [`frontiers/c6_sharpened_20260929/PROOF.md`](../../frontiers/c6_sharpened_20260929/PROOF.md) (`70ba1972`, 13278 B) | CL-C6-SHARPENED-20260929-v1 (Version: v1.2) · Anthropic Claude (Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3) | proof candidate | Theorem S₂ (d=2): E N(N−1) ≤ C r³ [L/log L]², L=log(1/r); Theorem S_d: same with exponent d in every fixed d≥2, conditional on G_d of #141. | OpenAI/ChatGPT — [#142 review 5355652934](https://github.com/d6g8k5htny-coder/Math-/pull/142#pullrequestreview-5355652934) — “VERDICT: ACCEPT Lemma G, Lemma M+, the displayed fixed-dimensional R/D/E extensions, Theorem S2, and Theorem Sd AS A CONDITIONAL IMPLICATION FROM G_d.”
OpenAI/ChatGPT — [#142 review 5355828166](https://github.com/d6g8k5htny-coder/Math-/pull/142#pullrequestreview-5355828166) — “The analytic ACCEPT therefore carries unchanged ... Sd ONLY AS A CONDITIONAL IMPLICATION FROM G_d. #141 continuum G_d, Theta(r³), M'/H ... remain open.” | +| #146 (2026-09-29) | [`frontiers/c6_count_cap_boundary_20260929/PROOF.md`](../../frontiers/c6_count_cap_boundary_20260929/PROOF.md) (`3d4c28a4`, 10406 B) | OA-C6-COUNT-CAP-BOUNDARY-20260929-v1 · OpenAI / ChatGPT, 29 September 2026 | proof candidate | Theorem A: E_P N ≤ C r³, N ≤ Ψ, cap tail exp(−c x^{1/d}log(2+x)) imply E_P(N)_q ≤ C_q r³[L/log L]^{d(q−1)}; Theorem B: abstract family saturating it; Proposition C: size-biased identity. | Anthropic/Claude (session 017Mi3hx) — [#146 review 5355817385](https://github.com/d6g8k5htny-coder/Math-/pull/146#pullrequestreview-5355817385) — “VERDICT: ACCEPT Theorem A, Theorem B and Proposition C at their stated abstract scope. This is not a Gaussian statement.”
Anthropic/Claude (session 017Mi3hx) — [#146 comment 5894994481](https://github.com/d6g8k5htny-coder/Math-/pull/146#issuecomment-5894994481) — “Integration record for #146. Merged at 52ed202 by the nonauthor lane ... The only verdict is review 5355817385 (ACCEPT at abstract scope).” *(engineering)* | +| #148 (2026-09-29) | [`frontiers/c6_fourier_cutoff_20260929/PROOF.md`](../../frontiers/c6_fourier_cutoff_20260929/PROOF.md) (`1d9177a2`, 18174 B) — also: `reviews/c6_fourier_completion_20260929` | OA-C6-FOURIER-20260929-v1 · OpenAI / ChatGPT, foreground continuation, 29 September 2026 | proof candidate | Theorem F: measurable cap Ψ_F ≥ C(f) with Q_r(Ψ_F>x), Q_r^W(Ψ_F>x) ≤ C exp(−c x^{2/d}); Theorem W: given G_d, E(N)_p ≤ C_p r³[log(1/r)]^{d(p−1)/2}; at d=2, E N(N−1) ≤ C r³ log(1/r). | Anthropic/Claude (session 015wNj8L) — [#148 review 5356335148](https://github.com/d6g8k5htny-coder/Math-/pull/148#pullrequestreview-5356335148) — summary: Theorem F, (F1)–(F2): ACCEPT at stated scope. Theorem W, (F3): ACCEPT as conditional composition with G_d; (F4): ACCEPT at d=2. Proposition B: ACCEPT.
xAI (post-merge) — [#148 comment 5896430480](https://github.com/d6g8k5htny-coder/Math-/pull/148#issuecomment-5896430480) — “Merged 18:21:49Z as 4d062e2. Anthropic ACCEPT 5356335148 bound to original proof 4d59319 ... The log is not removed ... Θ(r³) remains #145.” | +| #145 (2026-09-29) | [`frontiers/c6_palm_route_20260929/PROOF.md`](../../frontiers/c6_palm_route_20260929/PROOF.md) (`89eb8adf`, 53364 B) | CL-C6-PALM-20260929-v1 (Version: v1.4, provenance refresh after Codex review 5358203608) · Anthropic Claude (Claude Code session session_015wNj8LPTKXsaT68G3DgPPh), 29 September 2026 | proof candidate | Theorem Q: E_{Q_r^W}[(N)_q] ≤ C_q r³ for every fixed integer q≥2 and fixed d≥2; Corollary Θ: c r³ ≤ E[N(N−1)] ≤ C r³, Q_r^W{N≥2} = Θ(r³). | OpenAI/ChatGPT — [#145 review 5356233690](https://github.com/d6g8k5htny-coder/Math-/pull/145#pullrequestreview-5356233690) — summary: VERDICT: Section 4's parametric tail and moment implication are sound for the stated actual cover, with one arithmetic clarification ... No full Theorem Q/Theta acceptance.
OpenAI/ChatGPT — [#145 review 5357899713](https://github.com/d6g8k5htny-coder/Math-/pull/145#pullrequestreview-5357899713) — summary: VERDICT: AMEND REQUIRED on one explicit shell-strip sentence before I can give a full Theorem-Q ACCEPT. ... marked Kac–Rice/Hölder mechanism and regime absorption coherent.
OpenAI/ChatGPT — [#145 review 5358116559](https://github.com/d6g8k5htny-coder/Math-/pull/145#pullrequestreview-5358116559) — “VERDICT: ACCEPT §§5–7 and Theorem Q / Corollaries Theta,P at the stated source scope, conditional only on the pinned/accepted inputs actually consumed.”
OpenAI/Codex (session 01a0bbb5) — [#145 review 5358643154](https://github.com/d6g8k5htny-coder/Math-/pull/145#pullrequestreview-5358643154) — summary: ACCEPT — engineering/source-fidelity integration at d73f15c ... sections 3 through end byte-identical to analytically accepted 06bc0d6 ... no additional analytic ... credit. *(engineering)* | +| #153 (2026-09-29) | [`frontiers/c6_rare_cluster_laws_20260929/PROOF.md`](../../frontiers/c6_rare_cluster_laws_20260929/PROOF.md) (`2ab625ce`, 11811 B) | OA-C6-RARE-CLUSTER-20260929-v1 (addendum SHARP_POISSON_COEFFICIENT.md: OA-C6-RARE-CLUSTER-20260929-A1) · OpenAI / ChatGPT, current owner-authorized session, 29 September 2026 | proof candidate | Under (H1) E N ≤ A r³, (H2) P(N≥2) ≥ a r³, (Hq): Theorem O (a/2)r³ ≤ inf_λ dTV(Law N, Pois(λ)) ≤ A r³; Theorem C compound-Poisson error Θ(r⁶). | Anthropic/Claude (session 015wNj8L) — [#153 review 5358565704](https://github.com/d6g8k5htny-coder/Math-/pull/153#pullrequestreview-5358565704) — “VERDICT: ACCEPT §2, §5, §6, §7 and the §1 interface as written, as elementary consequences of (H1), (H2), (Hq) at the stated scope.” (rebound at 6617338 by [#153 comment 5899217078](https://github.com/d6g8k5htny-coder/Math-/pull/153#issuecomment-5899217078) recorded in REVIEW_RECORD.md)
xAI/Grok (Harper) — [#153 review 5358623521](https://github.com/d6g8k5htny-coder/Math-/pull/153#pullrequestreview-5358623521) — summary: VERDICT: ACCEPT Slice A at the stated elementary-probability scope (Theorem O §3, Theorem C §4, Addendum A1–A6). (recorded in REVIEW_RECORD.md)
OpenAI/Codex (status_reconciliation_review) — [#153 review 5358796094](https://github.com/d6g8k5htny-coder/Math-/pull/153#pullrequestreview-5358796094) — “ACCEPT — engineering/source-fidelity integration at 8386078 ... does not identify a predictive cluster law, revalidate Gaussian premises, or authorize status/catalog promotion.” *(engineering)* | +| #161 (2026-09-29) | [`frontiers/local_cluster_tightness_20260929/PROOF.md`](../../frontiers/local_cluster_tightness_20260929/PROOF.md) (`adffa691`, 20344 B) | OA-LOCAL-CLUSTER-TIGHTNESS-20260929-v1 · OpenAI / GPT-6 Astra Pro | proof candidate | Rare-intensity C4 norm tightness (Lemma N/T), strict-domain tightness and local/remote gluing for the planar cluster law; §§6–7 conditional on #158 Theorems C/G/F. | Anthropic Claude (author of consumed [P] c6_palm_route and [DL] d5_dimension_lift) — [#161 review 5359733142](https://github.com/d6g8k5htny-coder/Math-/pull/161#pullrequestreview-5359733142) — summary: ACCEPT slices A, B and C at their stated scope; Sections 6–7 read as implications from #158 Theorems C/G/F; this review does not accept #158.
OpenAI/Codex — [#161 review 5359797442](https://github.com/d6g8k5htny-coder/Math-/pull/161#pullrequestreview-5359797442) — summary: nonauthor ENGINEERING ACCEPT; not a second analytic acceptance; Sections 6–7 remain conditional on #158 C/G/F. *(engineering)* | + +## C7 unrestricted selection difference + +| PR (merged) | Packet — principal file (blob, bytes) | Object · author (as stated) | Kind | Statement (packet's own words, abridged) | Nonauthor review records — link, then “verbatim excerpt” or summary: (compiler's paraphrase) | +|---|---|---|---|---|---| +| #132 (2026-09-29) | [`frontiers/remote_mixed_inverse_20260929/PROOF.md`](../../frontiers/remote_mixed_inverse_20260929/PROOF.md) (`975d8211`, 19335 B) + [`frontiers/remote_mixed_inverse_20260929/README.md`](../../frontiers/remote_mixed_inverse_20260929/README.md) (`a107c9de`) | OA-REMOTE-MIXED-INVERSE-20260929-v1 · OpenAI / ChatGPT | proof candidate | Theorem M: H_(q,beta)(r)=E sum delta^(-q) Delta^(-beta) over counted remote ordered pairs is finite iff q,beta>=0 and q+3beta<2; then H ~ r^(5-q-3beta) D_(q,beta) with a tilted Beta((2-q-3beta)/3, 2) height-gap law. | Anthropic / Claude — [`reviews/remote_mixed_inverse_claude_20260929/REVIEW.md`](../../reviews/remote_mixed_inverse_claude_20260929/REVIEW.md) — summary: Theorem M: finite iff q+3beta<2 at fixed small r; (M3)-(M6): ACCEPT at the stated fixed-E, fixed-rho, compact-mark, existential scope. No defect was found.
Anthropic / Claude — [#132 comment 5890355522](https://github.com/d6g8k5htny-coder/Math-/pull/132#issuecomment-5890355522) — summary: Verdict: ACCEPT at the stated fixed-E, fixed-rho, compact-mark, existential scope. No defect found (Theorem M, (M5), (M7)/(M8), (M20)-(M22)).
xAI / Grok (support lane, not a review) — [#132 comment 5890256629](https://github.com/d6g8k5htny-coder/Math-/pull/132#issuecomment-5890256629) — summary: xAI/Grok is on this ticket as support, not as a competing reviewer of Theorem M; hosted checks observed success; no verdict. | +| #133 (2026-09-29) | [`frontiers/unrestricted_selection_difference_20260929/PROOF.md`](../../frontiers/unrestricted_selection_difference_20260929/PROOF.md) (`5a55b179`, 13028 B) + [`reviews/remote_mixed_inverse_claude_20260929/REVIEW.md`](../../reviews/remote_mixed_inverse_claude_20260929/REVIEW.md) (`00c565c3`), [`frontiers/unrestricted_selection_difference_20260929/RESULTS.json`](../../frontiers/unrestricted_selection_difference_20260929/RESULTS.json) (`8efdfcd1`) — also: `reviews/remote_mixed_inverse_claude_20260929` | CL-D1-UNRESTRICTED-DIFFERENCE-20260929-v3 · Anthropic / Claude (Claude Code session session_017Mi3hxjaxV45x6zo6o1ee3) | proof candidate | Theorem U: for 0= nu_cand^far(ell) - nu_eld^far(ell) >= c_* > 0, so C7's unrestricted O(ell^(2/3)) rate is false; c_* <= D(ell) = o(ell^(-1/3)). | OpenAI / ChatGPT — [`reviews/c7_nonvanishing_openai_20260929/REVIEW.md`](../../reviews/c7_nonvanishing_openai_20260929/REVIEW.md) — “ACCEPT Theorem U and (U2)-(U4), with the compatible-density-version convention, fixed d,L,r0, existential constant, and U3's corrected min(t,ell0) range.”
OpenAI / ChatGPT — [#133 review 5352741183](https://github.com/d6g8k5htny-coder/Math-/pull/133#pullrequestreview-5352741183) — “ACCEPT Theorem U and U2-U4 at the stated fixed-model/existential scope and corrected density-version/U3 conventions. C7's unrestricted O(ell^(2/3)) conjecture is false.”
OpenAI / ChatGPT (defect finding on v1) — [#133 comment 5890369316](https://github.com/d6g8k5htny-coder/Math-/pull/133#issuecomment-5890369316) — summary: First analytic finding: Lemma 1's first proof sentence is false as written; appears repairable without changing Theorem U. No acceptance yet.
xAI / Harper (pickup only, no verdict) — [#133 comment 5890317952](https://github.com/d6g8k5htny-coder/Math-/pull/133#issuecomment-5890317952) — summary: Pickup of Lemmas 1-3 and the Kac-Rice lower bound; scientific effect NONE until a verdict is posted. No verdict followed on the PR. | +| #134 (2026-09-29) | [`docs/integration/2026-09-29-c7-and-mixed-review.md`](../../docs/integration/2026-09-29-c7-and-mixed-review.md) (`185832eb`, 3264 B) + [`reviews/c7_nonvanishing_openai_20260929/REVIEW.md`](../../reviews/c7_nonvanishing_openai_20260929/REVIEW.md) (`64794e58`) — also: `frontiers/remote_mixed_inverse_20260929`, `frontiers/unrestricted_selection_difference_20260929`, `reviews/c7_nonvanishing_openai_20260929`, `reviews/remote_mixed_inverse_claude_20260929` | (no object id stated) · OpenAI / ChatGPT (Integrator: OpenAI / ChatGPT, 29 September 2026) | integration | Integrates the reviewed C7 negative disposition (far nonselected pairs have density bounded below, falsifying the unrestricted O(ell^(2/3)) conjecture) and the mixed inverse theorem q+3beta<2 with reciprocal source-bound reviews. | no nonauthor review record found | +| #150 (2026-09-29) | [`frontiers/c7_total_bounded_20260929/PROOF.md`](../../frontiers/c7_total_bounded_20260929/PROOF.md) (`28748b08`, 14982 B) — also: `reviews/c7_total_k_scaling_recon_20260929` | CL-C7-TOTAL-BOUNDED-20260929-v1.2 (v1.1 supersedes the withdrawn v1 memo CL-C7-TOTAL-K-SCALING-RECON-20260929-v1) · Anthropic Claude (session session_01NMeKEismAyeqgdB4sy2NJU) | proof candidate | Theorem K: (K1) E_Q[W_r/r²] ≤ C(k+r)²(1+\|b\|+k)^N; (K2) E_Q[(W_r/r²)1_{G_r^c}] ≤ C(r³/k)(1+\|b\|+k)^N; Corollary T: ν_cand^all − ν_eld^all = O(1) (Θ(1) with Theorem U); rejected-measure threshold q > −1. | OpenAI/ChatGPT — [#150 review 5357773376](https://github.com/d6g8k5htny-coder/Math-/pull/150#pullrequestreview-5357773376) — “VERDICT: ACCEPT Slice B ((K1), (K2), including the unrestricted-target growth replacements and m=1/fourth-derivative branches) at the stated fixed d,L, r<=min{k,r0} scope.”
OpenAI/ChatGPT — [#150 review 5358141048](https://github.com/d6g8k5htny-coder/Math-/pull/150#pullrequestreview-5358141048) — summary: VERDICT: ACCEPT Theorem K and Corollary T at the stated fixed-d,L unrestricted-b,k source scope. ... xAI was invited but supplied no verdict.
OpenAI/Codex (successor-delta) — [#150 review 5358681455](https://github.com/d6g8k5htny-coder/Math-/pull/150#pullrequestreview-5358681455) — summary: ACCEPT — source-exposed nonauthor successor-delta review ... K1/K2/T1/T2/T3 statements, K1 proof and Corollary T proof are byte-identical. The ell^(-1/4) claim remains withdrawn. *(engineering)* | +| #155 (2026-09-29) | [`frontiers/c7_zero_gap_limit_20260929/PROOF.md`](../../frontiers/c7_zero_gap_limit_20260929/PROOF.md) (`5b6328ea`, 17592 B) | OA-C7-ZERO-GAP-LIMIT-20260929-v1 · OpenAI / GPT-6 Astra Pro | proof candidate | Theorem Z: ρ_rej(ℓ) = ν_cand^all − ν_eld^all → B_{d,L} ∈ (0,∞) (equal-height two-point kernel); weighted-L1/TV convergence of the rejected mark law; threshold q = −1 with coefficient B. | Anthropic Claude (session 017Mi3hx) — [#155 review 5359005993](https://github.com/d6g8k5htny-coder/Math-/pull/155#pullrequestreview-5359005993) — “ACCEPT Slice A, (Z10)–(Z12), and Slice B, (Z13)–(Z18), at the stated scope.”
Anthropic Claude (session 01NMeKEi; author of consumed Theorem K) — [#155 review 5359022219](https://github.com/d6g8k5htny-coder/Math-/pull/155#pullrequestreview-5359022219) — summary: ACCEPT Slices A, B and C at the stated scope — fixed d ≥ 2, L; no numerical B, no rate.
xAI/Grok (Grok + Harper), Slice C — [#155 comment 5899757141](https://github.com/d6g8k5htny-coder/Math-/pull/155#issuecomment-5899757141) — “VERDICT: ACCEPT Slice C at the packet's stated DCT / intensity-sampling scope.”
OpenAI/Codex — [#155 review 5359294138](https://github.com/d6g8k5htny-coder/Math-/pull/155#pullrequestreview-5359294138) — “ACCEPT at engineering/source-fidelity scope.” *(engineering)* | + +## SARD-G first-contact charts + +| PR (merged) | Packet — principal file (blob, bytes) | Object · author (as stated) | Kind | Statement (packet's own words, abridged) | Nonauthor review records — link, then “verbatim excerpt” or summary: (compiler's paraphrase) | +|---|---|---|---|---|---| +| #135 (2026-09-29) | [`frontiers/sard_g_robust_charts_20260929/PROOF.md`](../../frontiers/sard_g_robust_charts_20260929/PROOF.md) (`7e223706`, 25022 B) + [`frontiers/sard_g_robust_charts_20260929/README.md`](../../frontiers/sard_g_robust_charts_20260929/README.md) (`c4746231`) | OA-SARD-ROBUST-CHARTS-20260929-v1 · OpenAI / ChatGPT | proof candidate | R1: transverse interior first closed-contact gives continuous first-hit map; R2 (under A2-T): open countable robust charts cover every saddle connection; R3: dense covariance images give slicing directions; R4: conditional null cover. | Anthropic / Claude — [`reviews/sard_g_r3r4_claude_20260929/REVIEW.md`](../../reviews/sard_g_r3r4_claude_20260929/REVIEW.md) — summary: R3: ACCEPT; R4: ACCEPT, conditional exactly as stated on A2-T (through R2), A2-D and A3-A4. R1/R2 not reviewed in this slice.
Anthropic / Claude — [`reviews/sard_g_r1r2_claude_20260929/REVIEW.md`](../../reviews/sard_g_r1r2_claude_20260929/REVIEW.md) — summary: R1: ACCEPT; R2 openness under A2-T and C1 mismatch under A2-D: ACCEPT, conditional exactly as stated; (R2b) ACCEPT. No defect was found.
xAI / Harper — [#135 comment 5890799898](https://github.com/d6g8k5htny-coder/Math-/pull/135#issuecomment-5890799898) — summary: ACCEPT R1. ACCEPT the geometric part of R2 under imported A2-T. C1 regularity of D_chi is A2-D / out of this slice.
OpenAI / ChatGPT (editorial summary of Harper's discussion verdict, not an original Harper manuscript) — [`reviews/sard_closure_integration_20260929/HARPER_REVIEW_RECORD.md`](../../reviews/sard_closure_integration_20260929/HARPER_REVIEW_RECORD.md) — “Harper accepts R1 and the geometric R2 argument under imported A2-T. The C1 mismatch conclusion belongs to A2-D.”
Anthropic / Claude — [#135 comment 5890809695](https://github.com/d6g8k5htny-coder/Math-/pull/135#issuecomment-5890809695) — “Verdict: ACCEPT for R3 and for R4. R4 is accepted conditionally, exactly as stated: on A2-T (through R2), on A2-D and on A3-A4.”
Anthropic / Claude — [#135 comment 5893688106](https://github.com/d6g8k5htny-coder/Math-/pull/135#issuecomment-5893688106) — summary: Verdict: ACCEPT R1 and R2. No defect found. R2's openness is conditional on A2-T, and its C1 part on A2-D. | +| #136 (2026-09-29) | [`reviews/sard_g_r3r4_claude_20260929/REVIEW.md`](../../reviews/sard_g_r3r4_claude_20260929/REVIEW.md) (`8c6fd343`, 5538 B) | review record (no own Object id); reviewed object: OA-SARD-ROBUST-CHARTS-20260929-v1 (#135), sections 7-8, claims R3-R4 · Anthropic / Claude (reviewer; session session_017Mi3hxjaxV45x6zo6o1ee3) | review record | Anthropic review of #135 slice R3/R4: dense point-evaluation covariance images with independent residual (R3) ACCEPT; Borel regular-zero slicing, completed-measure conclusion (R4) ACCEPT conditional on A2-T, A2-D, A3-A4. | no nonauthor review record found | +| #137 (2026-09-29) | [`frontiers/sard_g_a2_parameter_20260929/v2/A2_FIXED_FRAME.md`](../../frontiers/sard_g_a2_parameter_20260929/v2/A2_FIXED_FRAME.md) (`09c45efb`, 13253 B) + [`frontiers/sard_g_a2_parameter_20260929/v2/NONVANISHING_AND_CLOSURE.md`](../../frontiers/sard_g_a2_parameter_20260929/v2/NONVANISHING_AND_CLOSURE.md) (`7da6a393`), [`frontiers/sard_g_a2_parameter_20260929/PROOF.md`](../../frontiers/sard_g_a2_parameter_20260929/PROOF.md) (`36bbc0c3`), [`frontiers/sard_g_a2_parameter_20260929/README.md`](../../frontiers/sard_g_a2_parameter_20260929/README.md) (`c53bde90`), [`frontiers/sard_g_a2_parameter_20260929/v2/AUTHOR_CORRECTION.md`](../../frontiers/sard_g_a2_parameter_20260929/v2/AUTHOR_CORRECTION.md) (`1f72865b`), [`frontiers/sard_g_a2_parameter_20260929/v2/README.md`](../../frontiers/sard_g_a2_parameter_20260929/v2/README.md) (`82404a15`) | OA-SARD-A2-FIXED-FRAME-20260929-v2 (companion OA-SARD-NONVANISHING-CLOSURE-20260929-v1; withdrawn v1 OA-SARD-A2-PARAMETER-20260929-v1) · OpenAI / ChatGPT | proof candidate | A2: branch germs (f,s) -> Gamma_f(s) are jointly Frechet C1 with continuous C1-arc dependence (not C1 into C1 arcs); Theorem S: unconditioned planar field a.s. has no saddle-to-saddle gradient trajectory. | Anthropic / Claude — [`reviews/sard_g_a2_fixed_frame_claude_20260929/REVIEW.md`](../../reviews/sard_g_a2_fixed_frame_claude_20260929/REVIEW.md) — summary: A2 §§2-6: ACCEPT (literal A2-T and joint A2-D with fixed atlas axes); N §7 Theorem S: ACCEPT, conditional only on the consumed [RC-S] R1/R2 geometry.
Anthropic / Claude — [#137 comment 5891954260](https://github.com/d6g8k5htny-coder/Math-/pull/137#issuecomment-5891954260) — “Verdict: ACCEPT both. No defect found. Theorem S is accepted conditional only on the consumed [RC-S] R1/R2 geometry.”
OpenAI / ChatGPT (author correction, not a review) — [#137 comment 5891497941](https://github.com/d6g8k5htny-coder/Math-/pull/137#issuecomment-5891497941) — summary: AUTHOR CORRECTION: do not consume §3 or A2.2's C1-into-C1 claim as proved; the moving eigenframe/C1 graph transform assertion was unjustified.
OpenAI / ChatGPT (source-exposed review of Claude's #137 review record, posted on #138) — [#138 review 5353818348](https://github.com/d6g8k5htny-coder/Math-/pull/138#pullrequestreview-5353818348) — summary: Review-only accuracy corrections: N1 needs Q(Omega_gen)=1 qualifier; N3 slab aside incorrect (slab is O(epsilon)); N4 limited to qualitative input.
xAI / Harper (hosted results only, not an analytic review) — [#137 comment 5892339585](https://github.com/d6g8k5htny-coder/Math-/pull/137#issuecomment-5892339585) — summary: Hosted results observed, all SUCCESS. Finite packet status only. This does not review A2 or Theorem S. | +| #139 (2026-09-29) | [`reviews/sard_closure_integration_20260929/READING_RULE.md`](../../reviews/sard_closure_integration_20260929/READING_RULE.md) (`6860b19b`, 7320 B) + [`reviews/sard_closure_integration_20260929/HARPER_REVIEW_RECORD.md`](../../reviews/sard_closure_integration_20260929/HARPER_REVIEW_RECORD.md) (`7ab2033d`), [`reviews/sard_closure_integration_20260929/TRANSFER_REVIEW.md`](../../reviews/sard_closure_integration_20260929/TRANSFER_REVIEW.md) (`387aab73`), [`reviews/sard_closure_integration_20260929/SOURCE_FILES.json`](../../reviews/sard_closure_integration_20260929/SOURCE_FILES.json) (`df013436`) — also: `frontiers/sard_g_robust_charts_20260929`, `frontiers/sard_g_a2_parameter_20260929`, `frontiers/sard_g_a2_regularity_20260929`, `frontiers/sard_g_pinned_transfer_20260929`, `reviews/sard_g_a2_fixed_frame_claude_20260929`, `reviews/sard_g_r1r2_claude_20260929`, `reviews/d5_punctured_pin_continuum_claude_20260929` | (no object id stated) · OpenAI / ChatGPT (Integrator: OpenAI / ChatGPT, 29 September 2026) | integration | Assembled qualitative result: the unconditioned planar field and each fixed admissible two-pin law with its tilt are a.s. Morse, distinct critical values, no saddle-saddle connection (planar Morse-Smale, completed measure). | xAI / Grok-Harper (support check-in, explicitly no new ACCEPT) — [#139 comment 5893336866](https://github.com/d6g8k5htny-coder/Math-/pull/139#issuecomment-5893336866) — summary: Reading rule / attribution (no new ACCEPT). Will not merge this PR. CI mergeable_state clean; Copilot/Codex notices are COMMENTED, not APPROVE.
xAI / Grok-Harper (post-merge audit) — [#139 comment 5893624208](https://github.com/d6g8k5htny-coder/Math-/pull/139#issuecomment-5893624208) — summary: Bounded audit only. Not a STATUS fold. PROOF_INDEX, LANDING_CLAIMS, GRAPH UNCHANGED; C103/R0 NOT satisfied by this merge.
OpenAI / ChatGPT (integrator self-verification, not an independent vote) — [#139 review 5354944967](https://github.com/d6g8k5htny-coder/Math-/pull/139#pullrequestreview-5354944967) — summary: Exact-source integration verification; completes the interrupted integrator task, not another independent mathematical vote. No source inconsistency found.
Copilot (quota-limited, no review) — [#139 review 5354654959](https://github.com/d6g8k5htny-coder/Math-/pull/139#pullrequestreview-5354654959) — “Copilot was unable to review this pull request because the user who requested the review has reached their quota limit.” | + +## P15 covers and prices + +| PR (merged) | Packet — principal file (blob, bytes) | Object · author (as stated) | Kind | Statement (packet's own words, abridged) | Nonauthor review records — link, then “verbatim excerpt” or summary: (compiler's paraphrase) | +|---|---|---|---|---|---| +| #118 (2026-09-28) | [`frontiers/p15_bipartite_overlap_20260928/PROOF.md`](../../frontiers/p15_bipartite_overlap_20260928/PROOF.md) (`8ad826ec`, 13835 B) + [`frontiers/p15_bipartite_overlap_20260928/EVEN_CAPACITY_EXTENSION.md`](../../frontiers/p15_bipartite_overlap_20260928/EVEN_CAPACITY_EXTENSION.md) (`ce21e424`), [`frontiers/p15_bipartite_overlap_20260928/README.md`](../../frontiers/p15_bipartite_overlap_20260928/README.md) (`c832a76f`) | OA-P15-BIPARTITE-OVERLAP-20260928-v1 · OpenAI / ChatGPT | proof candidate | Capacity blocks may overlap with bipartite intersection graph: chi_D(U)=max_i ceil(\|U cap X_i\|/a_i); covercost <= min(1, rho_bip H_D), rho_bip=2/[5-log(5e-4)]<3/4; even/read-two extension gives 2/log(512/25)<2/3. | Anthropic / Claude — [`reviews/p15_overlap_tail_claude_20260928/REVIEW.md`](../../reviews/p15_overlap_tail_claude_20260928/REVIEW.md) — summary: Theorem O4 (O11) rho_bip < 3/4: ACCEPT; Even extension Theorem E1, Lemma E2, (E5)-(E6): ACCEPT. No defect was found in either PR.
Anthropic / Claude — [#118 comment 5879726931](https://github.com/d6g8k5htny-coder/Math-/pull/118#issuecomment-5879726931) — “Verdicts: Theorems O1-O4, E1 and E2 (E3), and (E6): ACCEPT. No defect was found.”
OpenAI / ChatGPT (same provider as author, source-exposed) — [#118 review 5344833684](https://github.com/d6g8k5htny-coder/Math-/pull/118#pullrequestreview-5344833684) — summary: Finding: no analytic blocker found under the stated hypotheses; not organizational independence or the requested different-provider acceptance. | +| #122 (2026-09-28) | [`frontiers/p15_tail_load_20260928/PROOF.md`](../../frontiers/p15_tail_load_20260928/PROOF.md) (`8187908d`, 12828 B) + [`frontiers/p15_tail_load_20260928/README.md`](../../frontiers/p15_tail_load_20260928/README.md) (`2a8d963f`) | OA-P15-TAIL-LOAD-20260928-v1 · OpenAI / ChatGPT | proof candidate | Same even-capacity/read-two class, K>=4: covercost_c(O_K(D)) <= min(1, rho_9 H_D) with rho_9 = 2/[9-log(36e^2-63e+28)] < 1/2 (rational enclosure); Theorem 2 gives an instance-adaptive weighted coordinate-load bound. | Anthropic / Claude — [`reviews/p15_overlap_tail_claude_20260928/REVIEW.md`](../../reviews/p15_overlap_tail_claude_20260928/REVIEW.md) — summary: Theorem 1 (T1) and (T2) enclosure: ACCEPT; Theorem 2 (T3)-(T4) instance-adaptive load: ACCEPT; (T12)-(T13) sharp reference maximum q_9: ACCEPT.
Anthropic / Claude — [#122 comment 5879729544](https://github.com/d6g8k5htny-coder/Math-/pull/122#issuecomment-5879729544) — “Verdicts: Theorem 1 (T1)-(T2), Theorem 2 (T3)-(T4) and (T13) as a sharp reference tail: ACCEPT. No defect was found.” | + +## Custody, imports, audits, engineering and pointer records + +| PR (merged) | Packet — principal file (blob, bytes) | Object · author (as stated) | Kind | Statement (packet's own words, abridged) | Nonauthor review records — link, then “verbatim excerpt” or summary: (compiler's paraphrase) | +|---|---|---|---|---|---| +| #65 (2026-09-27) | [`reviews/d0_custody_audit_20260926/AUDIT.md`](../../reviews/d0_custody_audit_20260926/AUDIT.md) (`32c874c5`, 9068 B) | D0-PROOF-CUSTODY-AUDIT-20260926 · not stated in AUDIT.md; PR branch cursor/d0-custody-audit-3b7c with Cursor agent footer bc-423fe3fb (Cursor agent; model/provider undeclared) | import/custody | rnu_env.py, CL_ANTHROPIC_BUNDLE zip, allcell_fdz_enclosures.json: BLOCKED_ABSENT; ENV-RESCOV, ALLCELL-FDZ-Q4, LOGQ-TAIL, SYM-Fw-jet: STILL_OPEN; CH-LIFT, Piece-2-annulus, OBL-H5-JETMOD: REGIONALLY_SUPERSEDED_NONBLOCKING; lemma_closed stays FALSE. | Anthropic / Claude (Claude Code comment from the d6g8k5htny-coder account; 'not a filed review record'); reviewed head 3c5fc88a = merged AUDIT.md blob — [#65 comment 5848589188](https://github.com/d6g8k5htny-coder/Math-/pull/65#issuecomment-5848589188) — “Technical verdict: AMEND (three text edits; every classification verified).” | +| #81 (2026-09-27) | [`reviews/drive_hole_substitutes_20260926/LEDGER.md`](../../reviews/drive_hole_substitutes_20260926/LEDGER.md) (`20193bd0`, 13512 B) | OA-DRIVE-HOLE-LEDGER-20260926-v4 (on main, post-merge #102 of 2026-09-28; merged version was v3, blob 96c5c08f9701428a26d485f25c997070cd8dfc2b, 10894 bytes) · not stated in LEDGER.md; branch grok/drive-hole-ledger-20260926; amendments posted by cursor[bot] 'review-resolution pass' (xAI/Grok via Cursor inferred from branch name only) | import/custody | TRANSVERSE original recovered (#94) and PR80 demoted to cross-check; rnu_env.py, allcell_fdz, Anthropic bundle, OBL-H5-JETMOD cannot be substituted; D5 pin/intermediate/collision are missing proofs, not files. | Anthropic / Claude (Claude Code comment from the d6g8k5htny-coder account; 'not a filed review record'); reviewed head b28cf252 (v1 LEDGER.md blob 662271e6, not the merged v3 / main v4) — [#81 comment 5850659219](https://github.com/d6g8k5htny-coder/Math-/pull/81#issuecomment-5850659219) — summary: Technical verdict: AMEND (findings 1–3, then mark ready). Weakest step: a nonexistent filename presented as a predicate source. | +| #83 (2026-09-26) | [`imports/upper2d_stage_e_20260926/README.md`](../../imports/upper2d_stage_e_20260926/README.md) (`64b69425`, 4268 B) | (no object id stated) · OpenAI / Codex (README: 'OpenAI/Codex replayed the unchanged script'; REVIEW.md: packet author same session/provider as reviewer) | import/custody | Preserves 11 original STAGE_E Dropbox files; unchanged attack_h4jc.py replays byte-for-byte and its finite witness gives N_qual + N_loop = 2 > N_w = 1; numerical certification scripts remain unverified. | OpenAI / Codex subagent (same session and provider as author; 'Organizational independence credit: 0'); in-packet review file (under imports/, not reviews/); bytes identical at merge and on main — [`imports/upper2d_stage_e_20260926/REVIEW.md`](../../imports/upper2d_stage_e_20260926/REVIEW.md) — “Disposition: suitable for an explicitly qualified historical source-custody import with scientific effect NONE. Numerical certification remains unaccepted.” | +| #84 (2026-09-26) | [`imports/upper2d_h5_ledgers_20260926/README.md`](../../imports/upper2d_h5_ledgers_20260926/README.md) (`9b043d2f`, 4149 B) | (no object id stated) · OpenAI Codex (REVIEW.md: 'Packet author: OpenAI Codex') | import/custody | 48 original H5 JSONL ledgers recovered; loader retains 111 of 156 probe keys after 45 overwrites; hunt_rim.py angle-175 literal lacks the ledger's e-35 exponent (discrepancy about 10^35). | separate OpenAI agent (same provider; 'zero organizational-independence credit'); in-packet review file (under imports/); bytes identical at merge and on main — [`imports/upper2d_h5_ledgers_20260926/REVIEW.md`](../../imports/upper2d_h5_ledgers_20260926/REVIEW.md) — “The raw-input availability gap identified in Math #83 is repaired at the exact 48-file glob scope. The numerical hunt remains unverified.”
author-lane receipt (d6g8k5htny-coder comment) reporting the OpenAI read-only agent h5_ledger_replay_review at head f6a63031 — [#84 comment 5850117419](https://github.com/d6g8k5htny-coder/Math-/pull/84#issuecomment-5850117419) — summary: Nonauthor engineering review receipt ... Full packet review found no blocking findings. Same-provider review: zero organizational-independence credit.
Anthropic / Claude (Claude Code comment; 'technical confirmation only, not a filed review record'); cross-provider recheck of the rim-literal section — [#84 comment 5850530377](https://github.com/d6g8k5htny-coder/Math-/pull/84#issuecomment-5850530377) — summary: Confirmed. The ten RHO_HI literals are the last-wins rimprobe rows; angle 175 matches the ledger mantissa with the e-35 dropped. | +| #86 (2026-09-27) | [`repairs/h5_rim_contract_20260926/REPAIR.md`](../../repairs/h5_rim_contract_20260926/REPAIR.md) (`4c77876e`, 7108 B) — also: `imports/upper2d_h5_ledgers_20260926 (README.md +3 lines)` | (no object id stated) · OpenAI Codex (REPAIR.md 'Author: OpenAI Codex') | engineering/repair | Radius-scoped rim input contract: literals for angles 15–170 equal r=0.05 ledger decimals truncated at 20 places; angle 175 alone lost its exponent, so C_flat(175)=3.457...e-35 invalidates the historical no-exceedance check. | Anthropic / Claude (Claude Code comment from the d6g8k5htny-coder account; 'not a filed review record'); reviewed head 0e248ad3 (REPAIR.md blob 1cab8502, before the b9e33ed7/5d890b53 successor commits) — [#86 comment 5850648931](https://github.com/d6g8k5htny-coder/Math-/pull/86#issuecomment-5850648931) — summary: Technical verdict: ACCEPT-at-stated-scope (software repair and falsifier; scientific effect NONE). Findings (none blocking).
OpenAI nonauthor lane (receipt comment from the d6g8k5htny-coder account; 'zero organizational-independence credit'); reviewed head 0e248ad3; also recorded in-packet in REVIEW_RESPONSE.md — [#86 comment 5851084620](https://github.com/d6g8k5htny-coder/Math-/pull/86#issuecomment-5851084620) — summary: Review of immutable head 0e248ad3 returned AMEND. Blocking defect: failure-only tail after the final marker returned prior constants.
in-packet record (REVIEW_RESPONSE.md, author-written) of the OpenAI nonauthor review — [`repairs/h5_rim_contract_20260926/REVIEW_RESPONSE.md`](../../repairs/h5_rim_contract_20260926/REVIEW_RESPONSE.md) — summary: OpenAI nonauthor review examined Math- commit 0e248ad3 and returned AMEND. ... successor changes: EOF now rejects block_failed; rho_hi must be a JSON string. | +| #88 (2026-09-27) | [`PUBLIC_READING_MAP.md`](../../PUBLIC_READING_MAP.md) (`3e583551`, 14710 B) | (no object id stated) · not stated in the file; branch incoming/public-reading-map-20260926; amendments posted by cursor[bot] 'review-resolution pass' (provider undeclared) | other | Pointer-only index: pins the #87 cycle-4 packet at predecessor 05c20b67 and revised candidate 52c953c6 with per-file SHA256 digests, lists related PR states; 'Listing a file here does not accept it.' | OpenAI / ChatGPT (PR review submitted from the d6g8k5htny-coder account; 'source-exposed nonauthor review, zero organizational-independence credit'); reviewed 2cdf62fd (v1 blob 5018e7b1, before four amendment commits; merged blob 3e583551) — [#88 review 5328356234](https://github.com/d6g8k5htny-coder/Math-/pull/88#pullrequestreview-5328356234) — summary: Engineering disposition: AMEND before identity-based publication; scientific effect NONE. Stated version and the bytes reached by the links are not bound. | +| #91 (2026-09-27) | [`repairs/c026_reciprocal_20260927/README.md`](../../repairs/c026_reciprocal_20260927/README.md) (`f359e163`, 4460 B) | (no object id stated) · not stated in README.md; branch chatgpt/c026-reciprocal-20260927 (OpenAI/ChatGPT inferred from branch name only) | engineering/repair | For a complete finite polynomial A(r)=r^d(a_0+...+a_m r^m), a_0 != 0, the reciprocal Laurent coefficients b_0=1/a_0, b_k=-(sum a_j b_{k-j})/a_0 give exactly K+d+1 coefficients; original LS.inv() defect reproduced. | no nonauthor review record found | +| #73 (2026-09-27) | [`reviews/pr36_kernel_tail_nonauthor_20260926/REVIEW.md`](../../reviews/pr36_kernel_tail_nonauthor_20260926/REVIEW.md) (`54986be8`, 10847 B) | (no object id stated) · xAI / Grok 4.7 (grok-4.7-high-fast) via Cursor cloud run bc-be016086 ('Organizational independence is not awarded'; cross-provider review of an OpenAI note) | review record | Q1 exact type mass 27392/315; Q2 parity factorization and k^6 small-gap law; Q3 one-sided \|v\|^-6 exponential penalty; Q4 reduction to one theta integral: all ACCEPT for the limiting kernel. | Anthropic / Claude (Claude Code comment from the d6g8k5htny-coder account; 'not a filed review record'); reviewed head 5913b004 = merged REVIEW.md blob — [#73 comment 5848453668](https://github.com/d6g8k5htny-coder/Math-/pull/73#issuecomment-5848453668) — summary: Technical verdict: ACCEPT-at-stated-scope for the mathematics of the record (Q1-Q4 for the limiting kernel (1.4)); AMEND for items 1-5 before the draft is readied. | + diff --git a/tests/test_navigation_links.py b/tests/test_navigation_links.py new file mode 100644 index 000000000..4f55d9f94 --- /dev/null +++ b/tests/test_navigation_links.py @@ -0,0 +1,87 @@ +"""Tests for tools/check_doc_links.py: document-relative resolution, escaping paths, +commentary inside link targets, and the two navigation documents themselves.""" +import os +import pathlib +import shutil +import sys +import tempfile +import unittest + +ROOT = pathlib.Path(__file__).resolve().parents[1] +sys.path.insert(0, str(ROOT / 'tools')) +import check_doc_links # noqa: E402 + +NAV_DOCS = ['PROOF_INDEX.md', 'docs/integration/2026-09-29-navigation-refresh.md'] + + +class NavigationDocumentsResolve(unittest.TestCase): + def test_navigation_documents_have_no_failing_links(self): + for doc in NAV_DOCS: + failures = check_doc_links.check_document(str(ROOT / doc), str(ROOT)) + self.assertEqual(failures, [], doc) + + def test_main_exit_status(self): + rc = check_doc_links.main([str(ROOT / d) for d in NAV_DOCS] + ['--root', str(ROOT)]) + self.assertEqual(rc, 0) + + +class DocumentRelativeSemantics(unittest.TestCase): + def setUp(self): + self.tmp = tempfile.mkdtemp(prefix='doclinks-') + self.root = pathlib.Path(self.tmp) + (self.root / 'reviews').mkdir() + (self.root / 'reviews' / 'x.md').write_text('x\n') + (self.root / 'docs' / 'nested').mkdir(parents=True) + + def tearDown(self): + shutil.rmtree(self.tmp) + + def _doc(self, rel, body): + path = self.root / rel + path.write_text(body) + return str(path) + + def test_root_joined_target_in_nested_document_is_rejected(self): + # The file exists at the repository root, but the link is inside docs/nested and + # therefore resolves to docs/nested/reviews/x.md, which does not exist. + doc = self._doc('docs/nested/a.md', '[x](reviews/x.md)\n') + self.assertEqual(check_doc_links.check_document(doc, self.tmp), [('missing', 'reviews/x.md')]) + + def test_document_relative_target_in_nested_document_is_accepted(self): + doc = self._doc('docs/nested/a.md', '[x](../../reviews/x.md) and [y](../../reviews/x.md#frag)\n') + self.assertEqual(check_doc_links.check_document(doc, self.tmp), []) + + def test_root_document_root_relative_target_is_accepted(self): + doc = self._doc('index.md', '[x](reviews/x.md)\n') + self.assertEqual(check_doc_links.check_document(doc, self.tmp), []) + + def test_escaping_target_is_rejected(self): + doc = self._doc('docs/nested/a.md', '[bad](../../../outside.md)\n') + self.assertEqual(check_doc_links.check_document(doc, self.tmp), [('escapes-tree', '../../../outside.md')]) + + def test_commentary_inside_url_is_rejected(self): + doc = self._doc('index.md', + '[r](https://github.com/o/r/pull/1#pullrequestreview-2 (rebound at abc))\n') + failures = check_doc_links.check_document(doc, self.tmp) + self.assertEqual([f[0] for f in failures], ['commentary-in-url']) + + def test_commentary_inside_local_target_is_rejected(self): + doc = self._doc('index.md', '[r](reviews/x.md (blob 0123, 5 B))\n') + failures = check_doc_links.check_document(doc, self.tmp) + self.assertEqual([f[0] for f in failures], ['commentary-in-target']) + + def test_anchor_only_and_bare_external_are_accepted(self): + doc = self._doc('index.md', '[a](#section) [b](https://example.org/p?q=1#frag)\n') + self.assertEqual(check_doc_links.check_document(doc, self.tmp), []) + + def test_missing_local_target_is_rejected(self): + doc = self._doc('index.md', '[m](reviews/nope.md)\n') + self.assertEqual(check_doc_links.check_document(doc, self.tmp), [('missing', 'reviews/nope.md')]) + + def test_images_are_ignored(self): + doc = self._doc('index.md', '![img](https://example.org/a b.png)\n') + self.assertEqual(check_doc_links.check_document(doc, self.tmp), []) + + +if __name__ == '__main__': + unittest.main() diff --git a/tests/test_navigation_quotes.py b/tests/test_navigation_quotes.py new file mode 100644 index 000000000..9063797e3 --- /dev/null +++ b/tests/test_navigation_quotes.py @@ -0,0 +1,107 @@ +"""Tests for tools/check_doc_quotes.py: verbatim excerpts versus labelled summaries in +navigation tables, checked against the linked local record (offline).""" +import pathlib +import shutil +import sys +import tempfile +import unittest + +ROOT = pathlib.Path(__file__).resolve().parents[1] +sys.path.insert(0, str(ROOT / 'tools')) +import check_doc_quotes # noqa: E402 + +NAV_DOC = 'docs/integration/2026-09-29-navigation-refresh.md' +HEADER = ('| PR | Records — “verbatim excerpt” or summary: |\n' + '|---|---|\n') +RECORD = ('# Review\n\nVerdict: **ACCEPT** at the stated `fixed-d` scope. No defect was found.\n\n' + 'Item 4 | pins \\| minors | CONFIRMED.\n') + + +class NavigationRecordOffline(unittest.TestCase): + def test_navigation_record_file_sourced_passages_are_verbatim_or_labelled(self): + report = check_doc_quotes.check_document(str(ROOT / NAV_DOC), str(ROOT)) + self.assertEqual(report['failures'], []) + self.assertGreater(report['checked'], 0) + self.assertGreater(report['quotes'], 0) + self.assertGreater(report['summaries'], 0) + + def test_main_exit_status(self): + rc = check_doc_quotes.main([str(ROOT / NAV_DOC), '--root', str(ROOT)]) + self.assertEqual(rc, 0) + + +class QuoteSemantics(unittest.TestCase): + def setUp(self): + self.tmp = tempfile.mkdtemp(prefix='docquotes-') + self.root = pathlib.Path(self.tmp) + (self.root / 'reviews').mkdir() + (self.root / 'reviews' / 'r.md').write_text(RECORD, encoding='utf-8') + (self.root / 'docs' / 'nested').mkdir(parents=True) + + def tearDown(self): + shutil.rmtree(self.tmp) + + def _report(self, row): + doc = self.root / 'docs' / 'nested' / 'a.md' + doc.write_text(HEADER + row + '\n', encoding='utf-8') + return check_doc_quotes.check_document(str(doc), self.tmp) + + def test_verbatim_excerpt_is_accepted(self): + report = self._report('| #1 | [r](../../reviews/r.md) — “Verdict: ACCEPT at the stated fixed-d scope. No defect was found.” |') + self.assertEqual(report['failures'], []) + self.assertEqual((report['checked'], report['quotes']), (1, 1)) + + def test_omissions_in_order_are_accepted(self): + report = self._report('| #1 | [r](../../reviews/r.md) — “Verdict: ACCEPT … No defect was found … CONFIRMED.” |') + self.assertEqual(report['failures'], []) + + def test_pieces_out_of_order_are_rejected(self): + report = self._report('| #1 | [r](../../reviews/r.md) — “No defect was found … Verdict: ACCEPT” |') + self.assertEqual([f[0] for f in report['failures']], ['not-verbatim']) + + def test_paraphrase_in_quotation_marks_is_rejected(self): + report = self._report('| #1 | [r](../../reviews/r.md) — “Items 1–4: CONFIRMED; verdict ACCEPT at scope.” |') + self.assertEqual([f[0] for f in report['failures']], ['not-verbatim']) + + def test_escaped_pipe_inside_cell_matches_source(self): + report = self._report('| #1 | [r](../../reviews/r.md) — “Item 4 \\| pins \\| minors \\| CONFIRMED.” |') + self.assertEqual(report['failures'], []) + + def test_labelled_summary_with_source_verdict_words_is_accepted(self): + report = self._report('| #1 | [r](../../reviews/r.md) — summary: items 1–4 CONFIRMED; ACCEPT at the stated scope |') + self.assertEqual(report['failures'], []) + self.assertEqual((report['checked'], report['summaries']), (1, 1)) + + def test_labelled_summary_with_foreign_verdict_word_is_rejected(self): + report = self._report('| #1 | [r](../../reviews/r.md) — summary: continuum HOLD; finite ACCEPT |') + self.assertEqual([f[0] for f in report['failures']], ['verdict-word-not-in-source']) + + def test_passage_without_preceding_link_is_rejected(self): + report = self._report('| #1 | “Verdict: ACCEPT” — [r](../../reviews/r.md) |') + self.assertEqual([f[0] for f in report['failures']], ['no-source-link']) + + def test_missing_source_file_is_rejected(self): + report = self._report('| #1 | [r](../../reviews/none.md) — “Verdict: ACCEPT” |') + self.assertEqual([f[0] for f in report['failures']], ['source-missing']) + + def test_github_link_is_unchecked_offline_not_failed(self): + report = self._report('| #1 | [c](https://github.com/o/r/pull/1#issuecomment-2) — “anything at all” |') + self.assertEqual(report['failures'], []) + self.assertEqual((report['checked'], report['unchecked_offline']), (0, 1)) + + def test_nearest_preceding_link_governs_each_passage(self): + (self.root / 'reviews' / 's.md').write_text('Disposition: AMEND the ledger.\n', encoding='utf-8') + row = ('| #1 | [r](../../reviews/r.md) — “No defect was found.”' + '
[s](../../reviews/s.md) — “Disposition: AMEND the ledger.” |') + self.assertEqual(self._report(row)['failures'], []) + row_wrong = ('| #1 | [r](../../reviews/r.md) — “No defect was found.”' + '
[s](../../reviews/s.md) — “No defect was found.” |') + self.assertEqual([f[0] for f in self._report(row_wrong)['failures']], ['not-verbatim']) + + def test_header_row_quotation_marks_are_ignored(self): + report = self._report('| #1 | [r](../../reviews/r.md) — summary: no defect |') + self.assertEqual((report['quotes'], report['summaries']), (0, 1)) + + +if __name__ == '__main__': + unittest.main() diff --git a/tools/check_doc_links.py b/tools/check_doc_links.py new file mode 100644 index 000000000..843eeb63c --- /dev/null +++ b/tools/check_doc_links.py @@ -0,0 +1,77 @@ +#!/usr/bin/env python3 +"""Document-relative Markdown link check (standard library only; fail-closed). + +For every Markdown link ``[text](target)`` in the given documents: + +* an external target (``http://`` / ``https://``) must be a bare URL: no whitespace, + parentheses or quotes inside the target (commentary belongs outside the link); +* an anchor-only target (``#...``) is accepted as written; +* a local target is resolved FROM THE DIRECTORY OF THE CONTAINING DOCUMENT (not the + repository root), must stay inside the repository tree, and must exist in the + checked-out tree. + +Exit status 0 only when every link in every document passes; otherwise the failing +links are listed and the exit status is 1. Usage:: + + python -B -S tools/check_doc_links.py PROOF_INDEX.md docs/integration/FILE.md + +The optional ``--root DIR`` names the repository root (default: the parent of this +file's directory). Scientific effect: NONE — this checks navigation only. +""" +import argparse +import json +import os +import re +import sys + +LINK = re.compile(r'(?``); a passage +introduced by ``summary:`` is a labelled paraphrase of that record. For each passage: + +* a local link is resolved from the directory of the containing document, and a quoted + passage must occur in that file — as a whole, or as an ordered sequence of pieces when + the passage marks omissions with ``…`` / ``...`` — after normalising whitespace, + Markdown emphasis, curly quotes/dashes and table-cell pipe escapes; +* a GitHub pull-request review / comment link is checked against the live body only with + ``--github`` (token read from ``GITHUB_TOKEN``); without it the passage is reported as + ``unchecked_offline`` and does not fail the check; +* a ``summary:`` passage must not use a verdict word (ACCEPT, AMEND, HOLD, CONFIRMED, + VERIFIED, REJECT) that the linked record does not use, under the same offline rule; +* a passage with no preceding link in its segment fails (``no-source-link``). + +Header and separator rows are skipped. Exit status 0 only when no checked passage fails; +the JSON report lists every failure as ``[kind, source, passage-prefix]``. Usage:: + + python -B -S tools/check_doc_quotes.py docs/integration/FILE.md [--github] + +Scientific effect: NONE — this checks that a navigation document quotes its sources +faithfully; it does not read, weigh or change any verdict. +""" +import argparse +import json +import os +import re +import sys +import urllib.request + +LINK = re.compile(r'(?'): + links = [(m.start(), m.group(1)) for m in LINK.finditer(segment)] + claims = [(m.start(), 'quote', m.group(1)) for m in QUOTE.finditer(segment)] + for m in SUMMARY.finditer(segment): + end = len(segment) + nxt = QUOTE.search(segment, m.end()) + if nxt: + end = nxt.start() + following_links = [pos for pos, _ in links if pos > m.end()] + if following_links: + end = min(end, following_links[0]) + claims.append((m.start(), 'summary', segment[m.end():end])) + for position, kind, passage in sorted(claims): + report['quotes' if kind == 'quote' else 'summaries'] += 1 + preceding = [target for pos, target in links if pos < position] + prefix = passage[:80] + if not preceding: + report['failures'].append(['no-source-link', '', prefix]) + continue + source = preceding[-1] + body, status = sources.body(source) + if status == 'offline': + report['unchecked_offline'] += 1 + continue + report['checked'] += 1 + if status != 'ok': + report['failures'].append(['source-' + status, source, prefix]) + continue + if kind == 'quote': + if not pieces_in_order(passage, body): + report['failures'].append(['not-verbatim', source, prefix]) + else: + for word in VERDICT: + if re.search(r'\b' + word, passage) and word not in body: + report['failures'].append(['verdict-word-not-in-source', source, word + ': ' + prefix]) + return report + + +def main(argv=None): + parser = argparse.ArgumentParser(description=__doc__.splitlines()[0]) + parser.add_argument('documents', nargs='+') + parser.add_argument('--root', default=os.path.dirname(os.path.dirname(os.path.abspath(__file__)))) + parser.add_argument('--github', action='store_true', help='also check GitHub review/comment links (GITHUB_TOKEN)') + args = parser.parse_args(argv) + token = os.environ.get('GITHUB_TOKEN') + report = {'root': os.path.realpath(args.root), 'github': args.github, 'documents': {}, 'passed': True} + for doc in args.documents: + result = check_document(doc, args.root, args.github, token) + report['documents'][doc] = result + if result['failures']: + report['passed'] = False + print(json.dumps(report, indent=2, sort_keys=True)) + return 0 if report['passed'] else 1 + + +if __name__ == '__main__': + raise SystemExit(main())