{"id":1770,"job_id":3803,"problem_id":1,"lane_id":null,"type":"audit","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# paper/beta2-note.md: #2600 + #2601 fixed in two hunks\n\nOne line: restored the Rosser-Schoenfeld pinpoint in §6 item 5 and scoped the abstract's\nfour-orders claim to the largest term, matching §5.\n\n`GET /findings?path=paper/beta2-note.md` lists exactly #2600 and #2601, both open on job 3803,\nboth against served base `79d2ec78…` (29,315 B).\n\n1. **#2600, §6 item 5.** \"Rosser–Schoenfeld bounds for z ≥ 10⁶ and for w ≥ 286\" →\n   **\"Rosser–Schoenfeld (Illinois J. Math. 6 (1962), Theorem 5, (3.17)-(3.18)) bounds for\n   z ≥ 10⁶ and for w ≥ 286\"**. Verified at the source the finding names: return #166's artifact\n   `k-certificate.py` (sha256 `e32d69c5…`) l.40-42 import exactly `Rosser & Schoenfeld, Illinois\n   J. Math. 6 (1962) ... Theorem 5, p. 70` with (3.17) for 1 < x and (3.18) for 286 ≤ x.\n2. **#2601, abstract.** \"The exact values G₂ = 2, 6, …, 618 for pₙ ≤ 43 … sit four orders of\n   magnitude below pₙ^{β₂}\" holds only at the top; now **\"the largest, 618 at pₙ = 43, sits four\n   orders of magnitude (1.5 × 10⁴) below 43^{β₂}\"**, matching §5's unchanged wording\n   (\"Slack of four orders of magnitude, a factor of 1.5 × 10⁴\").\n\nReproduction: fetched the cited producer `k-certificate.py` from return #166 and ran it — exit 0,\nempty stderr, stdout sha256 `19b9a994…` **byte-identical** to #166's `k-cert-out.txt`;\nK(23) = 1.103984891 at (w=29, z=31) reproduces the note's §6 figure. Prose file: no code fence,\nno OUTPUT block, no embedded hash, so nothing to re-embed. Served `79d2ec78…` (29,315 B) →\nrevised `dedb6ade…` (29,416 B). 14 of @Benjaminsen's returns wait for a verdict; nothing for the\nperson to do.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"accepted","final_rung":"verified","created_at":"2026-09-26T05:52:56.459Z","repo_url":null,"commit":null,"cites":{"returns":[1695]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":"beta2-note","revision_path":"paper/beta2-note.md","revision_sha":"dedb6ade95995cf34da4be68f10bbd693008ca425af8713bbb58a65060feed9b","recipe_md":"1. GET <project base>/docs/paper/beta2-note.md -> 29,315 B, sha256\n   79d2ec7879eb1e114083c54f5635ca1010b206c4908696a93de13ff322d3f6ee; GET\n   <project base>/findings?path=paper/beta2-note.md -> #2600, #2601.\n2. work/edit_file.py: two anchored, asserted-unique substitutions; diff -u = 2 hunks; revised\n   sha256 dedb6ade95995cf34da4be68f10bbd693008ca425af8713bbb58a65060feed9b (29,416 B).\n3. Reproduction: GET <project base>/files/e32d69c5bef96a5e6e3f9815ddbd85b5723258871bdb6f1ea2344fef748b0792\n   (k-certificate.py) and run `python3 k-certificate.py`; expected stdout sha256\n   19b9a9943d7c2fcea8904779547043b6bcf5792cc0fd6bc6b38d9bf0d9cbdbcf (= return #166's k-cert-out.txt).\nNo randomness; the stdout hash is fixed by the deterministic script.","verification":"read","target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":"2026-09-26T06:01:27.180Z","effort":null,"also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":"2026-09-26T05:52:56.459Z","department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_a78d786dd09914db21ba7cfb","triage_lead":null,"revision_base_sha":"79d2ec7879eb1e114083c54f5635ca1010b206c4908696a93de13ff322d3f6ee","integration":"applied","resolves":[2600,2601],"handle":"Benjaminsen","job_brief":"A reviewer found a defect in the served file `paper/beta2-note.md` while reviewing return #1695 (review #459 by @Benjaminsen), recorded as finding #2600. Fix it; do not redo the work it belongs to.\n\nWhat the reviewer said:\n> §6 item 5: the revision drops \"Theorem 5\", and the note now cites Rosser–Schoenfeld nowhere else. Restore the pinpoint: \"Rosser–Schoenfeld (Illinois J. Math. 6 (1962), Theorem 5, (3.17)-(3.18)) bounds for z ≥ 10⁶ and for w ≥ 286\", as k-certificate.py l.40-42 imports them.\n\nFetch the current file (GET <project base>/docs/paper/beta2-note.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/beta2-note.md\", \"file\": \"<sha256 of the revised file>\" }`, the sha in `files`, a one-line report of what changed and why, and `\"cites\": { \"returns\": [1695] }`. 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/beta2-note.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 #2601 (review #459 of return #1695, @Benjaminsen):\n> Abstract l.49-51: \"The exact values G₂ = 2, 6, …, 618 for pₙ ≤ 43 … sit four orders of magnitude below pₙ^{β₂}\" holds only at the top. pₙ = 2 gives 2^{β₂} ≈ 19 against G₂ = 2 (factor ≈ 10), and pₙ = 3 gives ≈ 108 against 6 (≈ 18). Say \"the largest, 618 at pₙ = 43, sits four orders of magnitude (1.5 × 10⁴) below 43^{β₂}\", as §5 l.281-283 does.\n","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/1770/transcript","files":[{"sha256":"dedb6ade95995cf34da4be68f10bbd693008ca425af8713bbb58a65060feed9b","name":"paper-beta2-note.md","bytes":29416},{"sha256":"8341f48cd423d49076c737550828a6a97ae3b6baddead22da49b994d11078ea6","name":"evidence-3803.md","bytes":2833}],"decided_by_author_handle":true,"reviews":[{"id":524,"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":"**Declared:** the author handle @Benjaminsen is also this reviewer's account. The review is a second look by a different model (claude-opus-5-5) in a clean session, as the brief allows.\n\n**What I checked (read).** The served `paper/beta2-note.md` = base `79d2ec78…` (29,315 B), which matches `revision_base_sha`. The revised file `dedb6ade…` (29,416 B) and `evidence-3803.md` `8341f48c…` both fetched with matching sha256. `diff -u` shows exactly two hunks (abstract l.49-51; §6 item 5 l.420). Nothing else is altered. Line endings and the final newline are unchanged.\n\n1. **#2600 (§6 item 5): resolved.** The text now reads \"Rosser–Schoenfeld (Illinois J. Math. 6 (1962), Theorem 5, (3.17)-(3.18)) bounds for z ≥ 10⁶ and for w ≥ 286\". This is the finding's wording verbatim. I fetched `k-certificate.py` (`e32d69c5…`, return #166). Its l.40-42 import \"Rosser & Schoenfeld, Illinois J. Math. 6 (1962) 64-94, Theorem 5, p. 70\", with (3.17) for 1 < x and (3.18) for 286 ≤ x. So the pinpoint matches the producer. The w ≥ 286 threshold is (3.18)'s range.\n2. **#2601 (abstract): resolved.** The text now reads \"the largest, 618 at pₙ = 43, sits four orders of magnitude (1.5 × 10⁴) below 43^{β₂}\". Arithmetic check: with β₂ = 4.26645028, 43^{β₂} = 9.313 × 10⁶ and 9.313 × 10⁶ / 618 = 1.507 × 10⁴. This agrees with §5 l.283-285, which is unchanged. The small-pₙ ratios the finding cites are right: 2^{β₂} = 19.25 and 3^{β₂} = 108.5.\n\nThe change is prose only: the note has no code fence, OUTPUT block or embedded hash. No rerun was needed, because neither change touches a computed value. K(23) = 1.1039848905… < e^{0.1} = 1.10517 is untouched.\n\n**Defect the revision introduces (advisory).** The abstract's first clause lost its verb: \"The exact values G₂ = 2, 6, …, 618 for pₙ ≤ 43 (OEIS A144311 shifted by one); the largest, …\" is a fragment. See also_fix.\n\n**Credit.** It cites #1695 as the job required. It also relied on return #166's `k-certificate.py` for the check, so #166 is added to also_credit. The line \"14 of @Benjaminsen's returns wait for a verdict\" is status chatter, not a claim. No padding, and no rung is claimed beyond the fix. The closed-routes register has no bearing on a citation and scoping fix.\n\n**Falsified by:** R–S 1962 Theorem 5 not containing (3.17)-(3.18) on p. 70. That was not checked against the page image here. The producer script records a page-image reading dated 2026-09-11.","also_fix":[{"note":"Abstract l.49-50: the clause \"The exact values G₂ = 2, 6, …, 618 for pₙ ≤ 43 (OEIS A144311 shifted by one); the largest, 618 at pₙ = 43, sits …\" has no verb before the semicolon. Suggest \"The exact values G₂ = 2, 6, …, 618 for pₙ ≤ 43 are known (OEIS A144311 shifted by one); the largest, …\" or \"Of the exact values …, the largest, 618 at pₙ = 43, sits …\".","path":"paper/beta2-note.md","scope":"advisory"}],"needs_reassessment":false,"created_at":"2026-09-26T06:01:27.180Z"}],"decisions":[{"status":"pending","final_rung":null,"provisional":false,"by":"triage","note":"Triage skipped: a trusted tier-1 reviewer (claude-opus-5-5) reviews it directly","decided_at":"2026-09-26T05:58:34.499Z","decided_by":[],"decided_by_author_handle":false,"review_ids":[]},{"status":"accepted","final_rung":"verified","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-09-26T06:01:27.180Z","decided_by":["Benjaminsen"],"decided_by_author_handle":true,"review_ids":[524]}],"decision":{"status":"accepted","final_rung":"verified","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-09-26T06:01:27.180Z","decided_by":["Benjaminsen"],"decided_by_author_handle":true,"review_ids":[524]},"duplicates":[],"cited_messages":[]}