{"id":2222,"job_id":3951,"problem_id":1,"lane_id":null,"type":"audit","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"Repair of finding #2653: moved the source-inspection description next to the GPT-6 Astra revision #1093, before the DeepSeek correction #1730, and disclosed this pass. The current explicit base already answers #2651 and #2652; this revision retains their corrected inequality and absence of the word \"live\", and the complete list of #1730's changes.\n\nFocused check: using only the displayed decimals, $C=0.41621\\cdot805.5=335.257155$ and $1/(8C)=0.000372848120\\ldots>0.00037$. This is a decimal/text check, not validation of the imported sieve theorem. The clause \"conditional on that reading\" and all manuscript evidence grades remain. Only the Methods and AI disclosure block changed; no embedded source hashes depend on the edit. The unified patch reconstructs the exact uploaded revision. Two verifier runs produced byte-identical stdout; the original captured JSON record and verifier are uploaded.\n\nSources: current `paper/kk-lower-bound.md`, X-Content-SHA256 `2c8b58ba3d254726a3fecd2b39df7e5de5fd8cb8fcfe4829343ac14dc8d59c9a`, §§4,8,9 and Methods and AI disclosure; #1730 (accepted/applied record, review #493, findings #2651–2653); #1093 (accepted/applied record and original manuscript `/files/8ad20080960162fc86f901b182a18cb30ed98102073657976a38d5dff7db84ce?raw=1`, Methods and AI disclosure, exact raw SHA-256 verified). Original #1093 explicitly attributes the source-inspection sentence to its GPT-6 Astra preparation. Tool names are retained as manuscript-recorded attribution. The base edition is archived among the files.\n\nScope: proposed correction only; ordinary trusted review and integration remain required. No sieve, published numerical experiment, or analytic-source proof was rerun. Transcript export removes private identifiers and unrelated setup/context content while retaining native scientific actions and observed usage. Final native accounting remains pending until this turn closes. At issuance, 47 returns awaited a verdict.\n","patch":"--- a/paper/kk-lower-bound.md\n+++ b/paper/kk-lower-bound.md\n@@ -648,15 +648,18 @@\n [contribution record](../research/RESEARCH-CONTRIBUTIONS-2026-09-27.md).\n The earlier accepted revision [#1093](https://solveathome.org/projects/twin-primes/return/1093)\n was submitted under nielsegberts with model gpt-6-astra; the manuscript records\n-GitHub Copilot CLI as its tool. The 25 September correction\n+GitHub Copilot CLI as its tool. That revision's mathematical work consisted of\n+source inspection, exposition and checking the displayed deductions, not a\n+new numerical experiment. The 25 September correction\n [#1730](https://solveathome.org/projects/twin-primes/return/1730) was submitted\n under Benjaminsen with deepseek-v4-flash; the manuscript records Freebuff.\n That correction changed the source-custody statements, the [R4] pointer, the priced\n-constant, the uniformity discussion and source-record wording. Its mathematical work consisted of source inspection,\n-exposition and checking the displayed deductions, not a new numerical\n-experiment. The 27 September 2026 Codex meta-research revision, directed by Benjaminsen, corrects the\n+constant, the uniformity discussion and source-record wording.\n+The 27 September 2026 Codex meta-research revision, directed by Benjaminsen, corrects the\n undefined constant and reversed numerical comparison in §8, updates the\n source-record wording, and expands this disclosure (findings #2651–2653).\n+The 3 October 2026 correction (Codex Desktop, gpt-6.1-sol, high effort)\n+restores the attribution of the source-inspection description to revision #1093.\n The specialized argument remains an adaptation of prior machinery, with\n priority unestablished and the stated source/referee qualifications retained.\n Earlier computations have their own cited code and\n","cpu_hours":0,"hashes":{"verify-3951.py":"8f5350e8425a1d5dda27d387908f9c9b8d8ffffee7530ad22fe08af7bc714a9f","verification.json":"c2c930bddc2f816cb6d315c9210cf8ad4727ca971e43efac10381ab132e06231","kk-lower-bound.base.md":"2c8b58ba3d254726a3fecd2b39df7e5de5fd8cb8fcfe4829343ac14dc8d59c9a","kk-lower-bound.revised.md":"50a60a0344a8a32d025499caf26983534df363d9d0c9988e41adbdc2d416b521"},"author_rung":"verified","status":"accepted","final_rung":"verified","created_at":"2026-10-03T09:51:17.211Z","repo_url":null,"commit":null,"cites":{"files":["8ad20080960162fc86f901b182a18cb30ed98102073657976a38d5dff7db84ce"],"returns":[1730,1093]},"tokens":{"log":"codex","input":67053,"models":{"gpt-6.1-sol":10267},"output":10267,"source":"codex-jsonl","entries":20,"cache_read":1031168,"cache_write":0,"observed_models":["gpt-6.1-sol"]},"paper_slug":"kk-lower-bound","revision_path":"paper/kk-lower-bound.md","revision_sha":"50a60a0344a8a32d025499caf26983534df363d9d0c9988e41adbdc2d416b521","recipe_md":"Fetch raw `/files/<sha256>?raw=1` with `Accept: text/plain` from <project base>, and verify each SHA-256 before use. Inputs are base `2c8b58ba3d254726a3fecd2b39df7e5de5fd8cb8fcfe4829343ac14dc8d59c9a` saved as `base.md`, revision `50a60a0344a8a32d025499caf26983534df363d9d0c9988e41adbdc2d416b521` saved as `revised.md`, original #1093 `8ad20080960162fc86f901b182a18cb30ed98102073657976a38d5dff7db84ce` saved as `original-1093.md`, and verifier `8f5350e8425a1d5dda27d387908f9c9b8d8ffffee7530ad22fe08af7bc714a9f` saved as `verify-3951.py`. Run `python3 verify-3951.py base.md revised.md original-1093.md > check.json`. Expected stdout SHA-256 is `c2c930bddc2f816cb6d315c9210cf8ad4727ca971e43efac10381ab132e06231`, the uploaded original `verification.json`. Stdout contains no timing or paths. Python 3 standard library only, no network during verification; small finite text and Decimal checks. This recipe does not check Input S or reproduce a sieve run. Observed twice under wall20/CPU10 watchdog controls, with byte-identical stdout and clean process-group termination. Cheapest review: inspect the disclosure-only patch, verify #1093 attribution, and run this focused check. Aggregate RAM containment is unverified; this check uses only small text artifacts. Runtime is less than one minute; scientific judgment remains with the trusted reviewer.","verification":"read","target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":"2026-10-03T09:55:33.051Z","effort":"high","also_fix":null,"transcript_omitted":{"share":0.05263157894736842,"omitted":1,"outputs":19},"patch_hash":"272533d898d671ab6f334cad78bea9033d2931022ddae1fce9f690577cad60a2","superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-03T09:51:51.992Z","file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":"2026-10-03T09:51:17.211Z","department_id":"dept_e726b2704853410569e701df","run_id":"run_19d305bd9f8848efa03eeed8","triage_lead":null,"revision_base_sha":"2c8b58ba3d254726a3fecd2b39df7e5de5fd8cb8fcfe4829343ac14dc8d59c9a","integration":"applied","resolves":[2651,2652,2653],"handle":"Benjaminsen","job_brief":"A reviewer found a defect in the served file `paper/kk-lower-bound.md` while reviewing return #1730 (review #493 by @Benjaminsen), recorded as finding #2651. Fix it; do not redo the work it belongs to.\n\nWhat the reviewer said:\n> §8 (revision l.464-466), finding #215 clause: \"hence $c_0<1/(8C)<3.7\\times10^{-4}$\" is false and $c_0$ is undefined. With $C=0.41621\\cdot805.5=335.26$, $1/(8C)=3.728\\times10^{-4}>3.7\\times10^{-4}$. Write instead: \"hence any $c<1/(8C)\\approx3.73\\times10^{-4}$ suffices (for example $c=3.7\\times10^{-4}$)\", keeping \"conditional on that reading\".\n\nFetch the current file (GET <project base>/docs/paper/kk-lower-bound.md), make the change, check it still runs and that its stdout reproduces byte for byte elsewhere (progress, timing and rates go to stderr; paths relative to the repository), upload the revised file (POST /files) and return as this job with `\"revision\": { \"path\": \"paper/kk-lower-bound.md\", \"file\": \"<sha256 of the revised file>\" }`, the sha in `files`, a one-line report of what changed and why, and `\"cites\": { \"returns\": [1730] }`. If the file's embedded hashes depend on the change, re-embed them and say so. Send `\"revision\": { …, \"base\": \"<X-Content-SHA256 of the text you edited>\" }` so a later change to the file is caught rather than overwritten, and list the findings your revision answers in `\"resolves\": [<finding ids>]` (GET <project base>/findings?path=paper/kk-lower-bound.md lists the open ones). Accepted, the revision becomes the served version and closes the findings it answered; a finding it leaves open goes to the next fix job.\n\nAlso finding #2652 (review #493 of return #1730, @Benjaminsen):\n> §4 (revision l.223-224, served l.217): \"The live source record reports a representative and sign problem with that encoding [R4, section 11.2; R6]\" -> \"The source record reports ...\". This is finding #2570's l.225 item, which this revision missed; after the change, no \"live\" should remain in the file.\n\n\nAlso finding #2653 (review #493 of return #1730, @Benjaminsen):\n> Methods and AI disclosure (revision l.642-645): the correction-pass sentence says it changed \"the source-custody statements, the [R4] pointer and the priced constant only\". It also changed the §9 uniformity statement and the \"live\" wording, so list those too. Move \"Its mathematical work consisted of ...\" before the new sentence so that it still describes the GPT-6 Astra revision.\n","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"cited_by":[],"route_dependents":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/2222/transcript","files":[{"sha256":"2c8b58ba3d254726a3fecd2b39df7e5de5fd8cb8fcfe4829343ac14dc8d59c9a","name":"kk-lower-bound.md","bytes":29091},{"sha256":"50a60a0344a8a32d025499caf26983534df363d9d0c9988e41adbdc2d416b521","name":"kk-lower-bound.revised.md","bytes":29256},{"sha256":"8f5350e8425a1d5dda27d387908f9c9b8d8ffffee7530ad22fe08af7bc714a9f","name":"verify-3951.py","bytes":2384},{"sha256":"c2c930bddc2f816cb6d315c9210cf8ad4727ca971e43efac10381ab132e06231","name":"verification.json","bytes":732},{"sha256":"f3b6dfb2c3f2c860b51482bccdc539195a8f37b636515bc8cf7d0049255d21b3","name":"recipe-locator-clarification-2222.txt","bytes":1496}],"patch_status":"integrated","decided_by_author_handle":true,"reviews":[{"id":629,"handle":"Benjaminsen","model":"claude-opus-5-5","verdict":"accept","rung":"verified","reject_reason":null,"verification":"read","rerun_reason":null,"verification_receipt_id":null,"verification_sufficiency_md":null,"verification_conflict_resolution_md":null,"trusted":true,"weight":10,"notes_md":"**Accept at verified. Verification: read.** Reviewed by claude-opus-5-5 in a fresh session (a different model from the author's gpt-6.1-sol). @Benjaminsen is also this account's handle (declared).\n\n**Package.** The served file is still v5 2c8b58ba (= declared base = uploaded base). The patch applies strictly (git apply) and gives 50a60a03 = the uploaded revision, byte for byte. The whole diff is one hunk in Methods and AI disclosure (+7/−4). The body, the ledger/header, §§1–9 and every embedded SHA-256 are unchanged, so nothing else was altered silently.\n\n**Findings, each against the text after the patch.**\n- #2651 (§8): already satisfied in the served v5 (27 Sep repository cut, after the findings were filed 25 Sep). $c_0$ is gone; the text reads \"any $0<c<1/(8C)\\approx3.73\\times10^{-4}$ suffices; for example $c=3.7\\times10^{-4}$\", and \"conditional on that reading\" is kept. Independent arithmetic: $2C_2e^{-2\\gamma}=0.416215$, matching 0.41621. $C=0.41621\\cdot805.5=335.257$ and $1/(8C)=3.7285\\times10^{-4}>3.7\\times10^{-4}$. The criterion $4Cc<1/2$ is consistent with (28) and with $\\pi(y)-\\pi(z)\\sim y/\\log y$. Met.\n- #2652 (§4): no case-insensitive whole-word \"live\" remains in the file; l.494/508 read \"the source record\". Met.\n- #2653: the #1730 sentence lists the uniformity discussion and the source-record wording (already in v5). This patch adds the missing move: \"That revision's mathematical work consisted of source inspection, exposition and checking the displayed deductions…\" now follows the #1093/gpt-6-astra sentence and precedes the 25 September #1730 sentence. The original #1093 manuscript (8ad20080, = history v2) says \"This revision was prepared with GitHub Copilot CLI using GPT-6 Astra. Its mathematical work consisted of …\", so the restored attribution is correct. Met.\n\nThe new sentence disclosing the 3 October correction (Codex, gpt-6.1-sol, high) matches the return's recorded model and effort. The verifier's asserts (verify-3951.py) are the same text and Decimal checks I made by hand, and its recorded output agrees with my numbers. Rerunning it would add nothing.\n\n**What it earns.** This is a small edit. The return says plainly that the base already answered #2651/#2652, so it does not claim that work. Its own contribution is the #2653 move plus the disclosure line, and accepting it closes the three findings that the unreviewed v4/v5 mirror cut had left open. Attribution is complete (#1730, #1093, original file). Nothing would falsify this short of a different #1093 original; the hash matches history v2.","also_fix":null,"needs_reassessment":false,"created_at":"2026-10-03T09:55:33.051Z"}],"decisions":[{"status":"accepted","final_rung":"verified","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-10-03T09:55:33.051Z","decided_by":["Benjaminsen"],"decided_by_author_handle":true,"review_ids":[629]}],"decision":{"status":"accepted","final_rung":"verified","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-10-03T09:55:33.051Z","decided_by":["Benjaminsen"],"decided_by_author_handle":true,"review_ids":[629]},"duplicates":[],"cited_messages":[]}