{"id":1326,"job_id":2679,"problem_id":1,"lane_id":null,"type":"audit","user_id":17,"model":"claude-fable-5-1","provider":"anthropic","report_md":"# Job #2679 (fix `research/global-factor-signs.md`): re-apply accepted revision #153 on top of the 2026-09-16 mirror cut\n\n**What changed and why.** The revised file is byte-for-byte the content of accepted return #153 (@Benjaminsen, accepted 2026-09-12, final rung verified, sha 0a4f04bf…): the ledger block's `status: PARTIAL` becomes `ANSWERED` and its `verdict:` line becomes #153's verdict. Nothing else differs from the served file (12 unified-diff lines, all inside the `<!-- ledger … -->` block; `global-factor-signs.patch`). No embedded hashes, no script, so nothing to re-embed or run.\n\n**Why this is the right fix.** The document's history (`/history/research/global-factor-signs.md`, saved as `hist-global-factor-signs.json` on review #154) shows v1 = mirror 0509638b (09-12), v2 = #153's revision 0a4f04bf (accepted, effects applied 2026-09-12), v3 = \"as mirrored from the research repository, cut of 2026-09-16 (private d0cef20)\" with the same content as v1. The upstream file was last modified 2026-09-06, so the cut did not carry a newer upstream edit; it re-imported the pre-#153 file and silently reverted the accepted revision. Re-applying v2 restores the accepted state and makes the registry refreshes that copied it (#220, #305, rejected in review #154 only because the ledger had flipped back) consistent again once regenerated. The judgement that the three parts of the question are answered at their stated scope is #153's and its reviewer's, not re-examined here; the task is document state.\n\n**Scope and what remains.** Rung: verified (a diff of the revised file against the served file and against #153's file was computed; the only difference from served is the ledger block). Not done here: the analogous reversions of #151 (`research/fixed-endpoint-discrepancy.md`) and #80 (`research/QUESTIONS.md`) by the same cut, which have their own also_fix entries in review #154; and the store-level question of whether future mirror cuts should preserve accepted overlays, which no file revision can settle. Cost: 0 CPU-h.\n\nCites: return #305 (the review target), review #154, return #153 (the content restored), the maintainer's cut record in the history endpoint.\n","patch":"--- a/research/global-factor-signs.md\n+++ b/research/global-factor-signs.md\n@@ -2,11 +2,11 @@\n \n <!-- ledger\n id: Q-global-factor-signs\n-status: PARTIAL\n+status: ANSWERED\n todo: C\n parity: Exact divisor algebra for the full logarithmic profiles, an elementary count of exceptional prime-power divisors, and the standard divisor bound; PNT is used only for existence of the single-input factor cell. The signed shifted estimate is not supplied. Refutation concerns a specified pair-trigger majorant, not sieve methods generally.\n question: Which full factor configurations cause negative global products, can prime-power exceptions be paid, and does a pair-trigger upper bound control the negative part?\n-verdict: Derived: G_i(n)=Lambda_(>W_i)(n)-F_i(s_i(n))*log t_i(n)-E_i(n), with all small-prime factors in s_i and all primes of t_i exceeding W_i. The correction is supported on a small-prime power exceeding W_i; its full shifted effect is O_epsilon(x^(39/40+epsilon)). After also paying proper prime powers, the residual is a composite-filtered signed smooth/rough cofactor sum. A ten-small-prime cell has F=-84 although every pair lies below a, refuting the proposed pair-trigger majorant. Prime filters contribute explicit terms when bounding the negative part; dropping them is an upper bound, not an identity. No scale-x signed improvement or twin margin follows.\n+verdict: All three parts are answered at their stated scope. Derived: G_i(n)=Lambda_(>W_i)(n)-F_i(s_i(n))*log t_i(n)-E_i(n), with all small-prime factors in s_i and all primes of t_i exceeding W_i; on regular composite inputs a global product is negative exactly when the two F values have opposite signs. The correction is supported on a small-prime power exceeding W_i; its full shifted effect is O_epsilon(x^(39/40+epsilon)), so the prime-power exceptions are paid. After also paying proper prime powers, the residual is a composite-filtered signed smooth/rough cofactor sum. A ten-small-prime cell has F=-84 although every pair lies below a, refuting the proposed pair-trigger majorant. Prime filters contribute explicit terms when bounding the negative part; dropping them is an upper bound, not an identity. What remains is carried elsewhere: switching-negative-mass.md proves the negative-only target false at these cutoffs, and global-smooth-majorant.md gives an absolute O(x) budget for the C3 profile with a non-vanishing majorant, leaving its signed constant OPEN. No scale-x signed improvement or twin margin follows.\n -->\n \n **Twin-prime infinitude remains OPEN; this attempt gives no improved\n","cpu_hours":0,"hashes":{"global-factor-signs.md":"0a4f04bf5337a649add37617cc3189ebeb0327bb4dcd5bc7e0050f7c7c6b678d","global-factor-signs.patch":"2c02fa801b22cbffd8c27324fbd5d3fce7c7733c515aaf8df16f71d4b9e5fac1","hist-global-factor-signs.json":"539f2fb0e4f01ca2416f50f6588d22b62bb6086f29eabbd1350eeb3ce283d0a9"},"author_rung":"verified","status":"superseded","final_rung":null,"created_at":"2026-09-19T19:05:52.757Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":["Benjaminsen","mikecann","AndreBaltazar8"],"returns":[305,153],"messages":[]},"tokens":{"log":"claude-code","input":96,"models":{"claude-fable-5-1":7182},"output":7182,"source":"claude-jsonl","entries":3,"cache_read":299556,"cache_write":10437,"observed_models":["claude-fable-5-1"]},"paper_slug":null,"revision_path":"research/global-factor-signs.md","revision_sha":"0a4f04bf5337a649add37617cc3189ebeb0327bb4dcd5bc7e0050f7c7c6b678d","recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","also_fix":null,"transcript_omitted":null,"patch_hash":"7c17b80dc4d3412280645afacd7e921f7ceb1dafe9d96eaa6144f3ad65723da7","superseded_by":"153","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":null,"department_id":null,"run_id":null,"triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"natepac","job_brief":"A reviewer found a defect in the served file `research/global-factor-signs.md` while reviewing return #305 (review #154 by @natepac). Fix it; do not redo the work it belongs to.\n\nWhat the reviewer said:\n> The 2026-09-16 mirror cut (v3, private d0cef20) reverted accepted revision #153 (v2, 0a4f04bf, ANSWERED) to the 09-12 mirror content (0509638b, PARTIAL). Either re-apply #153 on top of the cut or record in the history that the cut supersedes it; registry refreshes (#220, #305) copied v2 and are now inconsistent with the served ledger.\n\nFetch the current file (GET <project base>/docs/research/global-factor-signs.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\": \"research/global-factor-signs.md\", \"file\": \"<sha256 of the revised file>\" }`, the sha in `files`, a one-line report of what changed and why, and `\"cites\": { \"returns\": [305] }`. If the file's embedded hashes depend on the change, re-embed them and say so. Accepted, the revision becomes the served version.\n\nAlso finding #197 (review #317 of return #1630, @Benjaminsen):\n> Serves v3 = v1 (0509638b, PARTIAL) from the 2026-09-16 bulk revert. Accepted #153 (v2, 0a4f04bf, ANSWERED at bounded scope) has no recorded supersession. Restore #153's revision or record a reviewed supersession, then regenerate QUESTIONS.md. (Conflict: the reviewer's handle wrote #153.)\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/1326/transcript","files":[{"sha256":"0a4f04bf5337a649add37617cc3189ebeb0327bb4dcd5bc7e0050f7c7c6b678d","name":"global-factor-signs.revised.md","bytes":14326},{"sha256":"2c02fa801b22cbffd8c27324fbd5d3fce7c7733c515aaf8df16f71d4b9e5fac1","name":"global-factor-signs.patch","bytes":2580},{"sha256":"539f2fb0e4f01ca2416f50f6588d22b62bb6086f29eabbd1350eeb3ce283d0a9","name":"hist-global-factor-signs.json","bytes":2969}],"patch_status":"pending integration: the integrator applies accepted patches to the research repository by hand; build on the served file plus this patch until then","decided_by_author_handle":false,"reviews":[],"decisions":[{"status":"superseded","final_rung":null,"provisional":false,"by":"duplicate","note":"the same change as accepted return #153: folded into it, one change, one payment, no review","decided_at":"2026-09-19T19:05:52.757Z","decided_by":[],"decided_by_author_handle":false,"review_ids":[]}],"decision":{"status":"superseded","final_rung":null,"provisional":false,"by":"duplicate","note":"the same change as accepted return #153: folded into it, one change, one payment, no review","decided_at":"2026-09-19T19:05:52.757Z","decided_by":[],"decided_by_author_handle":false,"review_ids":[]},"duplicates":[],"cited_messages":[]}