Mister-Meeseeks · Oct 14, 2026 · Oct 13, 2026 · Oct 13, 2026
diff --git a/research/seed18-r439-b509-independent-replay/CLAIM.json b/research/seed18-r439-b509-independent-replay/CLAIM.json
@@ -0,0 +1,34 @@
+{
+  "assignment_seed": 18,
+  "track": "bit supplier",
+  "base_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f",
+  "coordination": "No pinned sprint coordination issue exists; open issue search found only #913 (all-size/compiler) and #650 (Discussions).",
+  "scope": "Independent audit of PR #1221 at head 6deda901721316fcb61c6e2a6dd6b537de183452: directly replay its R439 frame-509 20-ADD replacement over GF(2) on the 11 local registers and over Z on the local replacement window; rebuild the word to compare ordered frame paths and the full ADD invoice. No new circuit, supplier adoption, or kappa is claimed.",
+  "method": "Use a direct row-bitset interpreter for the local Boolean map and integer coefficient vectors for the local before/after maps, independent of the proposal's verifier and native checker.",
+  "expected_deliverable": "Small reproducible verifier, source pins, exact result receipt, and focused controls in this directory; scoped independent verification only.",
+  "expected_finish_utc": "2026-10-13T23:20:00Z",
+  "result": {
+    "status": "submitted for review as an independent finite verification; no new circuit or kappa",
+    "pr": "https://github.com/CrocSwap/integer-mult-bounds/pull/1344",
+    "commit": "4d7463c6f3d2ee1b33603c6180ed71f50819cbe7",
+    "finding": "The 21-ADD PR973 and 20-ADD PR1221 local blocks have equal GF(2) maps on 11 registers; their integer map difference is exactly 2 e_468 e_33^T. The selected/predecessor/candidate whole-word ADD invoices are 24305/24285/24283, with 661 unchanged ordered frame paths.",
+    "checks": "Independent verifier and three controls pass; the exact PR1221 verifier, ten tests, and Linux C++ native suite also pass."
+  },
+  "candidate_tasks": [
+    {
+      "task": "R439 frame-509 PR #1221: independent whole-word GF(2) and local integer-map replay",
+      "decision": "chosen",
+      "reason": "No review is recorded on #1221; its own validation is extensive, and the proposed row-bitset/Z-map method is code-disjoint."
+    },
+    {
+      "task": "R420 quad4 all-length cleanup floor",
+      "decision": "rejected",
+      "reason": "Recent overlapping results #1266 and #1296 cover this object and claim."
+    },
+    {
+      "task": "Selected PR589 hosting/provenance/COPY audit",
+      "decision": "rejected",
+      "reason": "Recent overlapping results #1307 and #1329 cover these exact boundaries."
+    }
+  ]
+}
diff --git a/research/seed18-r439-b509-independent-replay/LICENSE b/research/seed18-r439-b509-independent-replay/LICENSE
@@ -0,0 +1,201 @@
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diff --git a/research/seed18-r439-b509-independent-replay/NOTICE.md b/research/seed18-r439-b509-independent-replay/NOTICE.md
@@ -0,0 +1,18 @@
+# Attribution and assistance
+
+This independent audit was prepared and submitted through **@1337isnot1337**
+with substantial **OpenAI Codex AI assistance** in task selection, implementation,
+verification and writing. No independent human review or delegated worker is
+claimed. The package is covered by the repository's Apache-2.0 license; see
+`LICENSE`.
+
+The audited 20-ADD frame-509 candidate is Hanson Sun's (@bbMisk) PR #1221. Its
+21-ADD predecessor is Cinna Davis's (@1337isnot1337) PR #973. Their source
+notices are retained unchanged under `inputs/`. The frozen selected bit word is
+DreamingOfClouds's PR #589 on eumemic's PR #555, with the prior ancestry and
+attribution preserved in the selected result and its source manifest.
+
+This audit replays the local 11-register Boolean and integer maps using a
+separate row-bitset / coefficient-vector implementation. It does not replace
+the proposal's H1-H5/native checks, adopt its circuit as a supplier, or claim a
+new kappa.
diff --git a/research/seed18-r439-b509-independent-replay/README.md b/research/seed18-r439-b509-independent-replay/README.md
@@ -0,0 +1,58 @@
+# Independent local replay: R439 frame 509
+
+This package independently replays the local matrix claim in Hanson Sun's
+[PR #1221](https://github.com/CrocSwap/integer-mult-bounds/pull/1221) at exact
+head `6deda901721316fcb61c6e2a6dd6b537de183452`, against Cinna Davis's PR #973
+block at `c05dc72734c25dd069077157224d4dd30c6e8c19` and the selected PR589 word
+pinned in `SOURCES.json`.
+
+The direct row-bitset interpreter checks the complete 11-register local map
+over GF(2), independently of the proposal verifier's column/truth-table code.
+An integer coefficient-vector replay checks the exact local difference. The
+word builder then confirms that the splice yields the reported whole-word ADD
+counts and preserves all 661 ordered frame paths. This is an independent
+replay of those finite claims; it does not reprove H1-H5 or native legality.
+
+The exact local result is:
+
+| Local splice | ADDs | Boolean map | Integer map |
+|---|---:|---|---|
+| PR973 predecessor | 21 | same as candidate | baseline |
+| PR1221 candidate | 20 | same as predecessor | predecessor minus `2 e_468 e_33^T` |
+
+The full selected / predecessor / candidate word invoice recomputes as
+24,305 / 24,285 / 24,283 ADDs. The builder changes only the B/C ADD lists; all
+other pinned word fields, including the ret/scatter schedule, remain equal, and
+all 661 ordered frame paths match. The separate PR #1221 checker replay also
+confirms its complete paid profile. This scalar circuit saving does not change
+the selected conditional `κ = 836330098538459/500000000000000000`; the complex
+supplier remains binding.
+
+## Reproduce
+
+From the repository root, with Python 3.11+ and only the standard library:
+
+```sh
+python3 -I -B research/seed18-r439-b509-independent-replay/verify.py
+python3 -I -B research/seed18-r439-b509-independent-replay/test_audit.py -v
+```
+
+Expected verifier marker:
+
+```text
+PASS_R439_B509_MATRIX_AUDIT local_f2_inputs=11 integer_delta=2*e468e33 frame_paths=661 ADDs=24305/24285/24283 no_new_kappa
+```
+
+As an additional independent-host replay, the exact PR #1221 package passed
+its own verifier, ten package tests, and unchanged C++ native checks here on
+Linux x86_64 / CPython 3.14.7 / GCC 16.2.1 / Boost 1.92.0. The reproduced
+markers are recorded in `VALIDATION.json`. This supplements the source author's
+macOS arm64 run; it does not substitute for human review or hosted CI.
+
+## Scope
+
+The result validates only the local finite matrix identity, the pinned splice,
+its frame paths, and the listed ADD invoices. The PR #1221 H1-H5/native
+obligations are inherited from the candidate's own checks and were rerun as
+described above. No global minimum, hosted-supplier adoption, new kappa, or
+complete multiplication theorem is claimed.
diff --git a/research/seed18-r439-b509-independent-replay/RESULT.json b/research/seed18-r439-b509-independent-replay/RESULT.json
@@ -0,0 +1,41 @@
+{
+  "base_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f",
+  "candidate_head": "6deda901721316fcb61c6e2a6dd6b537de183452",
+  "candidate_pr": 1221,
+  "integer_delta_prior_minus_candidate": [
+    {
+      "destination": 468,
+      "prior_minus_candidate": 2,
+      "source": 33
+    }
+  ],
+  "local_adds": {
+    "candidate": 20,
+    "predecessor": 21
+  },
+  "local_f2_basis_columns_equal": 11,
+  "local_registers": [
+    17,
+    22,
+    33,
+    38,
+    50,
+    60,
+    67,
+    77,
+    87,
+    92,
+    468
+  ],
+  "new_kappa_claimed": false,
+  "non_splice_fields_unchanged": true,
+  "ordered_frame_paths_equal": 661,
+  "predecessor_head": "c05dc72734c25dd069077157224d4dd30c6e8c19",
+  "predecessor_pr": 973,
+  "status": "PASS_R439_B509_MATRIX_AUDIT",
+  "whole_word_ADD_invoice": {
+    "candidate": 24283,
+    "predecessor": 24285,
+    "selected": 24305
+  }
+}
diff --git a/research/seed18-r439-b509-independent-replay/SOURCES.json b/research/seed18-r439-b509-independent-replay/SOURCES.json
@@ -0,0 +1,30 @@
+{
+  "format": "seed18-r439-b509-independent-replay/1",
+  "base_commit": "bce54fb3f895cbe5cd4c0eb477c3afeed100190f",
+  "candidate_pr": 1221,
+  "candidate_head": "6deda901721316fcb61c6e2a6dd6b537de183452",
+  "predecessor_pr": 973,
+  "predecessor_head": "c05dc72734c25dd069077157224d4dd30c6e8c19",
+  "selected_bit_lineage": "DreamingOfClouds PR589 on eumemic PR555, as recorded in certificates/selected-result.json and the PR1221 source manifest",
+  "files": {
+    "research/seed18-r439-b509-independent-replay/inputs/PR973-CANDIDATE.json": {
+      "sha256": "4c340610fb641a3699224016b4a322005fa9c578d9761b23220b01bc67ab4068",
+      "git_blob": "40a28f124a8561b437f0cc0aefbfb49224dcf3a0"
+    },
+    "research/seed18-r439-b509-independent-replay/inputs/PR1221-CANDIDATE.json": {
+      "sha256": "66bd9ef28754b6d0925d82137c0b2b90cb21b9234ffed18c41d31ab6b4f6192c",
+      "git_blob": "86f33af1791026ce0cf61a4cc77cd5a9c4813994"
+    },
+    "research/e8-bit-p111-tuned/tune/bitE8mut-p111-tuned.json.gz": {
+      "sha256": "e3e301e62bc2b41dbf1ceac0acf3d35824ebeab1848c5a2142d4577b109da52f",
+      "git_blob": "85a4499bf9e4911a705d50567a2c2ef6cf23739a"
+    }
+  },
+  "replay_environment": {
+    "os": "Linux x86_64",
+    "python": "3.14.7",
+    "cxx": "GCC 16.2.1",
+    "boost": "1.92.0",
+    "native_command": "BOOST_INCLUDE=/usr/include python3 -I -B research/r439-b509-boolean-seed05/native.py"
+  }
+}