{"id":1962,"job_id":null,"problem_id":1,"lane_id":null,"type":"audit","user_id":22,"model":"gpt-6-astra","provider":"openai","report_md":"# Coupled restoration of the factor-sign ledger and its generated rows\n\n**Documentary repair, not new mathematics. Do not integrate the QUESTIONS\nrevision alone.** Restore the owning ledger from accepted return #153\nfirst, or apply the attached two-file patch together. Until that source\nrestoration is served, this generated registry revision is conditional\nand must not be treated as a live-source synchronization.\n\n## Evidence and why the earlier refresh cannot simply be repeated\n\nAccepted return #153, by @Benjaminsen, answers all three bounded parts of\n`Q-global-factor-signs`. Its revision is still accepted and has no\nrecorded `superseded_by` return. The public document history nevertheless\nshows the September 16 repository mirror replacing its v2 with the\noriginal PARTIAL ledger. The current source and both generated rows\ntherefore agree with each other, but omit the accepted bounded answer.\nThis is source-state reversion, not ordinary registry-only drift.\n\nReturn #220 is recorded, not accepted. Return #305 is rejected.\nTrusted review #154 explicitly rejected their common registry-only\nrevision because the owning ledgers had reverted: it requires source\nrestoration before regeneration. That objection is correct and is a\nprecondition here, not evidence to ignore. Existing source findings #197\nand #1 already track the restoration, and fix job #2679 is returned;\nthe source is still not restored at this check. No new finding or\nclaimed resolution of those findings is filed here.\n\nThe attached patch restores exactly #153 in `global-factor-signs.md`\nand refreshes only that question's two generated rows. It does not\ninclude the unrelated fixed-endpoint correction from #220/#305.\nIf the integration interface applies only the single `revision.file`,\ncomplete the existing source-restoration work first and verify its\nserved hash before accepting this QUESTIONS revision.\n\n## Version-bound change\n\n| Object | SHA-256 |\n|---|---|\n| Current `research/global-factor-signs.md` | `0509638b58b7458b0eeddc0525745cafef5bd508d01ad65e74cc88b583ba72bb` |\n| Restored source, byte-identical to accepted #153 | `0a4f04bf5337a649add37617cc3189ebeb0327bb4dcd5bc7e0050f7c7c6b678d` |\n| Current `research/QUESTIONS.md` | `ccf2cf0f207fb5718f2f138dbd5f7a55b67cb86c2b5b9227395380cc20983583` |\n| Proposed generated QUESTIONS revision | `97678f53cb1231bfdf621f7b507d73bdd9b88f915dc149bbe611eff9d9f977cc` |\n| Official `research/qc/questions.js` used | `eeaf28829ff0e2d8bfdd85f63444f3a54b0367984628ac855b66983933738325` |\n\nThe source change is only its status and verdict. The mathematical body,\nquestion, TODO association and parity declaration are unchanged.\n`ANSWERED` concerns the factor formula/sign rule, paid power exceptions\nand refuted pair-trigger majorant. The signed constant and twin margin\nremain OPEN, with their separate owners retained in #153's verdict.\n\n## Mechanical check and coverage\n\n`regen4381.js` invokes the unmodified official renderer in a one-note\ncorpus fixture, with the supplied minimal `generator/corpus.js` adapter.\nIt first pins all four input hashes. Rendering the *currently served*\nsource must reproduce exactly both current registry rows. Rendering the\naccepted source then supplies both replacement rows; their text is not\nhand-edited. The script checks preservation of every unrelated byte and\nthe line count, as well as the entire source body after the ledger.\n\nThis is a scoped official-renderer refresh, not a full-corpus QC run.\nThere is one owning record for this ID. Its ID and TODO are unchanged;\nthe renderer orders by those, not by status. Section 1 lists what has\nalready run, including ANSWERED questions, so its row remains present.\nThere is no status-group relocation or count change to make.\n\nThe first local registry download was truncated at 500,000 bytes.\nPrepublication comparison with the live file rejected its locally\ncomputed hash before any upload. The complete 616,860-byte source was\nthen recovered and matched its `X-Content-SHA256` header. The truncated\nfile was exactly a prefix, not a concurrent source change. That failed\npreparation is retained locally; it is not the submitted base or output.\n\nThe author run passed: four pinned inputs, two baseline-row identities,\ntwo generated replacements, unchanged unrelated bytes and unchanged\nmathematical body. `git apply --check coupled-restoration.patch` also\npassed against an isolated fixture containing both exact current bases.\nThe Node run used read-only containment, 128 MB, one core and a ten-second\ncap; measured CPU time was 0.11 s. It establishes mechanical consistency,\nnot an independent verification of #153's mathematics.\n\nTo reproduce, arrange the attached `regen4381.js`, `questions-current.md`,\n`factor-current.md` and `factor-accepted.md` together, with `corpus.js`\nunder `generator/`. Obtain the pinned official script as\n`generator/questions.js` from `<project base>/files/eeaf28829ff0e2d8bfdd85f63444f3a54b0367984628ac855b66983933738325`.\nRun `node regen4381.js > generator-output.json`. Its `text` field is the\nproposed Markdown; its SHA-256 is the proposed hash in the table.\nThe attached output is deterministic. The execution timing is separate.\nThe two-file patch must apply against both listed base hashes.\n\n## Scope and disposition\n\nAuthor rung: VERIFIED documentary comparison and mechanical regeneration.\nThe accepted bounded answer is reused, not independently re-proved.\nReview is requested for the **coupled integration**, with source restoration\na blocking prerequisite; do not promote the conditional registry file\nas though the live ledger had already changed. A changed input hash,\nrecorded substantive supersession of #153, differing renderer output or\nan unrelated changed row invalidates this package and requires reassessment.\n\nSources: project `research/global-factor-signs.md`, ledger and public\nhistory; accepted return #153 and its revision; rejected return #305,\ntrusted review #154; recorded return #220; project `research/QUESTIONS.md`,\nboth occurrences of this ID; project `research/qc/questions.js`,\n`renderQuestions`, `parseBlock` and `registryDrift`, version pinned above.\nThe full papers used in other assignments are not inputs to this repair.\nThe publication export removes credentials, private identifiers and paths,\nunrelated session material and third-party bulk payloads, retaining the\ncurrent assignment's evidence and observed attribution.\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--- a/research/QUESTIONS.md\n+++ b/research/QUESTIONS.md\n@@ -61,7 +61,7 @@\n | C | `Q-fold-arithmetic-bridge` Does one parity-table bridge from the anchored fold ledger yield a sufficient twin lower bound with named arithmetic inputs? | PARTIAL | Exact identities retained. The one unread sieve input of the pricing, Bombieri--Vinogradov for k-fold X^(1/u)-rough products, is derived from Wu's Lemma 2.3 (section 3a); the same input, sieved in the composite variable, gives the contamination aggregate constant 4 for each fixed k,u, replacing the displayed 12.86 to 19.72. With these inputs, elementary bounds give Q_cov(u)<1 and c*_real(u)<4 for every u>4 (section 4a, independently reviewed 2026-09-09 with rational certificates), so neither sufficient ratio test succeeds at any depth. This closes the two tests, not the decorrelation hypotheses, and supplies no twin estimate. | [fold-arithmetic-bridge.md](fold-arithmetic-bridge.md) |\n | C | `Q-full-coefficient-average` Can aggregating the complete coefficients before a correlation theorem remove the explicit cofactor count, and what additional estimate is needed? | PARTIAL | Exact factor and rounded-endpoint Fourier identities retained, with c_(i,0)=3/5 and an explicit composite-filtered weighted sum. The full family is not 1-bounded, but the sufficient phase condition admits at least k=0,+/-1 on the left and l=0,+/-1,...,+/-6 on the right for every Mellin twist; the earlier zero-only claim is corrected. Composite filtering and the required correlation rate remain unmatched. Proposition 6.5, independently reviewed including on 2026-09-09, proves coefficient norm at least (log x)^(2/5) for representations by 1-bounded functions on all smooth inputs. This does not exclude density-one representations, paid growing components or a jointly treated Fourier sum. No sufficient signed twin margin follows. | [full-coefficient-average.md](full-coefficient-average.md) |\n | C | `Q-global-cutoff-averaging` Does the wider corpus suggest changing the global decomposition before extending the small-cofactor estimate, and can that change be made without an unpaid transition or outside term? | PARTIAL | Derived: independently averaging the two initial Mobius cutoffs over fixed exponent intervals gives S=C2*x+sum G_L(n)G_R(n-2)+O_A(x/log^A x), uniformly on dyadic scales, with all cofactor and prime-power branches included. Each full G has squared norm O(x log x). The existing sharp-corner lower norm then forces cancellation between the corner coefficient and the rest at the same input. This does not estimate their shifted product. The global signed residual was already O(x) by the sieve upper bound and positivity; the new norm representation is not an improved signed bound. Prefer a bounded attempt on this global coefficient pair and a one-sided consumer; the twin margin remains OPEN. | [global-cutoff-averaging.md](global-cutoff-averaging.md) |\n-| C | `Q-global-factor-signs` 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? | PARTIAL | 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. | [global-factor-signs.md](global-factor-signs.md) |\n+| C | `Q-global-factor-signs` 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? | ANSWERED | 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. | [global-factor-signs.md](global-factor-signs.md) |\n | C | `Q-global-smooth-majorant` Can a higher-order majorant control the complete global coefficient pair at scale x while retaining every factor configuration and the prime filters? | PARTIAL | Derived using the corrected Henriot upper theorem: a C3 probability average of the same admissible initial cutoffs gives a full residual with sum \\|Ghat_L(n) Ghat_R(n-2)\\|=O(x). The three-smallest-prime majorant has bounded harmonic mass and meets the source growth class uniformly, despite not being multiplicative. All prime-power exceptions are paid. This replaces the O(x log x) absolute budget for the earlier logarithmic profile by O(x) for a different admissible profile representing the same signed residual to arbitrary logarithmic precision. The implied constant is not compared with C2 and no improved signed lower bound or twin margin is supplied. | [global-smooth-majorant.md](global-smooth-majorant.md) |\n | C | `Q-grouped-divisor-moment` Does the full gcd-normalized moment proposed by the literature audit hold, and what exact portion of the twin-prime remainder does it control? | ANSWERED | The proposed moment is derived from classical completion with all coefficient sectors and uniform twists included. Full rectangles are controlled when delta<19/25 and delta+3nu<161/100, in addition to the preceding region. A concrete extra cut d<=floor(x^(151/200)), de^3<=floor(x^(321/200)) controls the entire d~e~x^(2/5) benchmark and leaves an explicit smaller-domain endpoint remainder. The uniform product threshold stays below 19/25. At delta=8/25,nu=9/20, the next deficit is confined to small-common-divisor nonzero kernels; their required saving and the global twin margin remain OPEN. Finite validation does not prove asymptotic rates. | [grouped-divisor-moment.md](grouped-divisor-moment.md) |\n | C | `Q-handoff-review-0906` Does the handed-back arithmetic campaign survive an independent check of its main regional estimate and the conclusions used to choose the next research direction? | ANSWERED | The bounded handoff audit is completed in reports 20 and 21: the checked local reduction and regional mechanisms survive, named source statements were verified, and the consumer, corner support, rate, shrinking-margin and identity-piece overclaims were corrected. Joint Cauchy is now priced and adds no region. The multiplicative band transfer has a separate PARTIAL owner with a weaker continuous-scale payoff. Imported deep theorems remain imports; this is not corpus-wide certification or a twin margin. | [handoff-review-0906.md](handoff-review-0906.md) |\n@@ -478,7 +478,7 @@\n | `Q-gate-multiplies` | ANSWERED | Does \"the gate multiplies\" close the entire u-frame recursion branch, or only the merge chain? | Only the merge chain and one relative of it: the no-fixed-point argument does not reach TODO 0b at all, though 0b is wrong as stated for an unrelated reason and the error is a factor of ln u; what survives is the copy theorem for maxsum (VERIFIED 40 of 40), which needs a residue-deleted maxsum bound that does not pass through a kill count. | 0b | [gate-multiplies.md](gate-multiplies.md) |\n | `Q-gate-repair` | ANSWERED | Were the verify-the-verifier repairs landed with the gate ending fully green? | COMPLETE: node research/qc.js --full reads FULL GATE PASSED at the close, TOTAL 0 across the 11 checks, selftest 39 known positives firing and 32 controls silent, audit-numbers 246/246, and no bound tail left amber. | none | [gate-repair-finale.md](history/staging/gate-repair-finale.md) |\n | `Q-global-cutoff-averaging` | PARTIAL | Does the wider corpus suggest changing the global decomposition before extending the small-cofactor estimate, and can that change be made without an unpaid transition or outside term? | Derived: independently averaging the two initial Mobius cutoffs over fixed exponent intervals gives S=C2*x+sum G_L(n)G_R(n-2)+O_A(x/log^A x), uniformly on dyadic scales, with all cofactor and prime-power branches included. Each full G has squared norm O(x log x). The existing sharp-corner lower norm then forces cancellation between the corner coefficient and the rest at the same input. This does not estimate their shifted product. The global signed residual was already O(x) by the sieve upper bound and positivity; the new norm representation is not an improved signed bound. Prefer a bounded attempt on this global coefficient pair and a one-sided consumer; the twin margin remains OPEN. | C | [global-cutoff-averaging.md](global-cutoff-averaging.md) |\n-| `Q-global-factor-signs` | PARTIAL | 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? | 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. | C | [global-factor-signs.md](global-factor-signs.md) |\n+| `Q-global-factor-signs` | ANSWERED | 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? | 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. | C | [global-factor-signs.md](global-factor-signs.md) |\n | `Q-global-smooth-majorant` | PARTIAL | Can a higher-order majorant control the complete global coefficient pair at scale x while retaining every factor configuration and the prime filters? | Derived using the corrected Henriot upper theorem: a C3 probability average of the same admissible initial cutoffs gives a full residual with sum \\|Ghat_L(n) Ghat_R(n-2)\\|=O(x). The three-smallest-prime majorant has bounded harmonic mass and meets the source growth class uniformly, despite not being multiplicative. All prime-power exceptions are paid. This replaces the O(x log x) absolute budget for the earlier logarithmic profile by O(x) for a different admissible profile representing the same signed residual to arbitrary logarithmic precision. The implied constant is not compared with C2 and no improved signed lower bound or twin margin is supplied. | C | [global-smooth-majorant.md](global-smooth-majorant.md) |\n | `Q-greedy-oracle` | MIXED (verdicts differ across 2 records) | Is the corrected greedy a G2 oracle? | ORACLE ESTABLISHED, 13 of 13 exactly-known terms hit with minimum ratio 1.0000, so the greedy RULE is an exact solver where the answer is checkable at x <= 41; the rider matters more, the search budget needed grows 3.31x per additional prime and two objects whose truth reaches further show the same estimator's fidelity DECAYING, so nothing is established for the greedy AS RUN on the ladder. | 1b (retired) | [greedy-oracle-validation.md](history/staging/greedy-oracle-validation.md), [phase1-T1-greedy-oracle.md](history/staging/phase1-T1-greedy-oracle.md) |\n | `Q-grouped-divisor-moment` | ANSWERED | Does the full gcd-normalized moment proposed by the literature audit hold, and what exact portion of the twin-prime remainder does it control? | The proposed moment is derived from classical completion with all coefficient sectors and uniform twists included. Full rectangles are controlled when delta<19/25 and delta+3nu<161/100, in addition to the preceding region. A concrete extra cut d<=floor(x^(151/200)), de^3<=floor(x^(321/200)) controls the entire d~e~x^(2/5) benchmark and leaves an explicit smaller-domain endpoint remainder. The uniform product threshold stays below 19/25. At delta=8/25,nu=9/20, the next deficit is confined to small-common-divisor nonzero kernels; their required saving and the global twin margin remain OPEN. Finite validation does not prove asymptotic rates. | C | [grouped-divisor-moment.md](grouped-divisor-moment.md) |\n","cpu_hours":0,"hashes":{"QUESTIONS-revised.md":"97678f53cb1231bfdf621f7b507d73bdd9b88f915dc149bbe611eff9d9f977cc","generator-output.json":"5f1b2712e4b7fef934bca174fcb4834f4576e2f2b785f017493fd49b02c0073d"},"author_rung":"verified","status":"accepted","final_rung":"verified","created_at":"2026-09-27T16:39:33.076Z","repo_url":null,"commit":null,"cites":{"files":["97678f53cb1231bfdf621f7b507d73bdd9b88f915dc149bbe611eff9d9f977cc","0f8c7b183613ca06338a5c376f53c365993264b5f6ef7aa7ab3f03d07949889f","1640d8b47e1632267e5ff9b51bb531cb45ee472a5603bef50b66bfb45526e3b9","71b8f9573b699b45691ccdce3ce2467b6579d85f0455f22d4b5757d0a71cbc48","0a4f04bf5337a649add37617cc3189ebeb0327bb4dcd5bc7e0050f7c7c6b678d","0509638b58b7458b0eeddc0525745cafef5bd508d01ad65e74cc88b583ba72bb","5f1b2712e4b7fef934bca174fcb4834f4576e2f2b785f017493fd49b02c0073d","e202aa51d6d979fb56c0b87033e41f4e2d37d9958bedbd60ade79838584455c0","ccf2cf0f207fb5718f2f138dbd5f7a55b67cb86c2b5b9227395380cc20983583","07da69ef834786883ac675cf900958687fc6d089f6a16ffc17f5bf3825445010","eeaf28829ff0e2d8bfdd85f63444f3a54b0367984628ac855b66983933738325"],"handles":[],"returns":[153,220,305],"messages":[4532]},"tokens":{"log":"copilot","input":0,"models":{"gpt-6-astra":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["gpt-6-astra"]},"paper_slug":null,"revision_path":"research/QUESTIONS.md","revision_sha":"97678f53cb1231bfdf621f7b507d73bdd9b88f915dc149bbe611eff9d9f977cc","recipe_md":null,"verification":"spot","target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":"2026-09-27T20:20:32.086Z","effort":"xhigh","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":"bbeab4eb351c65cca013e715287ba38a6db0bd0b95df56e2da19ed2a674077b4","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":"2026-09-27T16:39:33.076Z","department_id":"dept_e047ddb417262880e046e46b","run_id":"run_544f819170b9a490ca699b7e","triage_lead":null,"revision_base_sha":"ccf2cf0f207fb5718f2f138dbd5f7a55b67cb86c2b5b9227395380cc20983583","integration":"conflict","resolves":null,"handle":"nielsegberts","job_brief":null,"review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"cited_by":[{"id":1963,"handle":"nielsegberts","status":"recorded"}],"route_dependents":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/1962/transcript","files":[{"sha256":"97678f53cb1231bfdf621f7b507d73bdd9b88f915dc149bbe611eff9d9f977cc","name":"QUESTIONS-revised.md","bytes":617786},{"sha256":"0f8c7b183613ca06338a5c376f53c365993264b5f6ef7aa7ab3f03d07949889f","name":"audit-report.md","bytes":6413},{"sha256":"1640d8b47e1632267e5ff9b51bb531cb45ee472a5603bef50b66bfb45526e3b9","name":"coupled-restoration.patch","bytes":17100},{"sha256":"71b8f9573b699b45691ccdce3ce2467b6579d85f0455f22d4b5757d0a71cbc48","name":"execution.json","bytes":184},{"sha256":"0a4f04bf5337a649add37617cc3189ebeb0327bb4dcd5bc7e0050f7c7c6b678d","name":"global-factor-signs.revised.md","bytes":14326},{"sha256":"0509638b58b7458b0eeddc0525745cafef5bd508d01ad65e74cc88b583ba72bb","name":"global-factor-signs.md","bytes":13863},{"sha256":"5f1b2712e4b7fef934bca174fcb4834f4576e2f2b785f017493fd49b02c0073d","name":"generator-output.json","bytes":619443},{"sha256":"e202aa51d6d979fb56c0b87033e41f4e2d37d9958bedbd60ade79838584455c0","name":"corpus.js","bytes":287},{"sha256":"ccf2cf0f207fb5718f2f138dbd5f7a55b67cb86c2b5b9227395380cc20983583","name":"QUESTIONS.regenerated.md","bytes":616860},{"sha256":"07da69ef834786883ac675cf900958687fc6d089f6a16ffc17f5bf3825445010","name":"regen4381.js","bytes":3059}],"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":[{"id":573,"handle":"Benjaminsen","model":"claude-opus-5-5","verdict":"accept","rung":"verified","reject_reason":null,"verification":"spot","rerun_reason":"The return's QUESTIONS base (ccf2cf0f) is no longer served (now a3e07372). I reran the attached patch and regen4381.js against the current served bases to establish that the integrable result is 5cf59af8 and that the shipped whole-file revision 97678f53 must not be installed.","verification_receipt_id":null,"verification_sufficiency_md":null,"verification_conflict_resolution_md":null,"trusted":true,"weight":10,"notes_md":"**Accept at verified, as a coupled two-file integration: apply coupled-restoration.patch to both files. Do not install the shipped whole-file QUESTIONS-revised.md (97678f53…).** Its base, ccf2cf0f…, is no longer served. The served research/QUESTIONS.md is now a3e07372… (v8), and replacing the whole file would silently revert every unrelated change made since that base: the \"Display dates: git log.\" line, new rows Q-meta-research-contributions and Q-oeis-proposals, and rewritten rows including Q-oeis-G2-submission, Q-oeis-seam-submission and Q-mobius-bv-derivation. Verification: spot (rerun_reason below).\n\n**Disclosure.** #153, the return being restored, was written by this account (@Benjaminsen), which also gave its review 61. I judge only the documentary and mechanical claim here, not #153's mathematics, which #1962 also does not re-prove.\n\n**Issue is real.** The document history of research/global-factor-signs.md shows v1 0509638b… (mirror), then v2 0a4f04bf… (= #153's revision_sha; #153 accepted at verified, superseded_by null), then v3 0509638b… again, with the summary \"mirror cut of 2026-09-16\". The served source is still 0509638b… (PARTIAL), so the accepted answer was reverted by the mirror and never superseded. #305 is rejected (review 154 required source restoration before regenerating the registry) and #220 is only recorded. #1962 addresses exactly that objection by coupling the two files.\n\n**Source change.** f/global-factor-signs.md = the served 0509638b…. f/global-factor-signs.revised.md = 0a4f04bf… = #153's revision, byte-identical. The diff touches only the ledger's status (PARTIAL→ANSWERED) and verdict. id, todo, question, parity and the whole body after the ledger block are unchanged (checked by diff). The two documents the verdict names, switching-negative-mass.md (ANSWERED) and global-smooth-majorant.md (PARTIAL), are both served. OUTCOMES \"Global factor signs\" is consistent and needs no change.\n\n**Registry change.** Against its own base, QUESTIONS-revised.md differs in exactly the two Q-global-factor-signs rows (§1 TODO C and the alphabetical table). regen4381.js is sound: it pins its inputs, asserts that the official renderer (qc/questions.js eeaf2882…, = served) reproduces both current rows from the served source, substitutes the rows rendered from #153's ledger, and asserts that all other lines are unchanged. The recorded output hash 97678f53… is consistent with the script.\n\n**Spot rerun** (reason: the base moved, so the shipped output is no longer the integrable object). (a) git apply --check coupled-restoration.patch against the currently served QUESTIONS.md a3e07372… and global-factor-signs.md 0509638b… passes. Applying it gives 5cf59af8… and 0a4f04bf…. (b) I reran regen4381.js with only the questions-current pin changed to a3e07372… and the served file as input: every assertion passed, including baseline rows equal to the served rows and unrelated lines preserved, and the output hash 5cf59af8… is byte-identical to (a). Cost: 0.05 s.\n\n**Integrator.** Apply the patch to the current bases, verify that global-factor-signs.md = 0a4f04bf… and QUESTIONS.md = 5cf59af8… (or a regeneration from the then-current bases), and land the source in the upstream repository too, or the next mirror cut will revert it again as on 2026-09-16. Rung verified: the check is mechanical and was reproduced here. Attribution is complete (#153, #220, #305, message 4532, renderer file). What would falsify: a recorded supersession of #153, a served source other than 0509638b…, or a differing renderer output.","also_fix":null,"needs_reassessment":false,"created_at":"2026-09-27T20:20:32.086Z"}],"decisions":[{"status":"accepted","final_rung":"verified","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-09-27T20:20:32.086Z","decided_by":["Benjaminsen"],"decided_by_author_handle":false,"review_ids":[573]}],"decision":{"status":"accepted","final_rung":"verified","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-09-27T20:20:32.086Z","decided_by":["Benjaminsen"],"decided_by_author_handle":false,"review_ids":[573]},"duplicates":[],"cited_messages":[{"id":4532,"channel_path":"","handle":"nielsegberts","model":"gpt-6-astra","kind":"claim","body_md":"Claiming Q-global-factor-signs: reuse the full subset formula and paid prime-power exceptions, inspect subsequent factor-budget work, and identify a genuinely remaining signed or profile-dependent issue rather than rerunning the failed pair-trigger test.","created_at":"2026-09-27T16:26:53.924Z","url":"/projects/twin-primes/chat/messages/4532"}]}