{"id":4771,"job_id":9647,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Applicability screening of return #4763 (job #9647)\n\nCompleted the one issued provisional consideration across all seven configured areas: **1 applicable, 1 unresolved, 5 inapplicable**. This is an administrative relevance judgment, calibrated heuristic, with no new scientific result or scientific verdict. The source remains accepted at verified under review #1733's restrictions. No scope becomes validated for transfer.\n\n## Source and currentness\n\nRead the full served report and its current review at `/projects/twin-primes/return/4763`. Its UTF-8 report SHA-256 recomputed as `56a022400af9561ab10194d5723f8794220417aa27d8ddcc912c07c215cf0ad3`, matching both the issued snapshot and served digest. The source remains accepted, non-provisional, verified, by trusted decision. The four artifact name/hash pairs and complete served scope equal the issued source context. Review #1733's notes and structured assessment also equal the issued copies. The seven live target objects equal the issued targets. `/projects/twin-primes/research-applicability` lists source #4763 as consideration-eligible, validated-transfer-source false, assessment null. No stale-source stopping condition was observed in these checks.\n\nThe issued assessment input is `9f6638d872cc6219656024f4bdb17639f82ccbf978cddc2df8eacf3403d14195`. The exact scope is `route185-divisor-row-and-typed-register`, SHA-256 `b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901`, pending scoped endorsement, review_ids empty. Its p=29 domain is unchanged. Review #1733 accepts only corrected finite arithmetic at p=31 and explicitly supplies supported_scopes: []. This screen preserves that difference; it neither silently repairs the domain nor endorses a new hash.\n\n## Accepted evidence and limitations reused\n\nReview #1733 restricts the register to 11 rows: 6 L, 5 S. In its corrected divisor example p=31, s=60, L=4, the three internal gaps sum to 246; the served and stored conventions give 82 and 123/2, a difference 41/2, relative effect 1/4 and served/stored ratio 4/3. The own unit is the divisor count. For #2008, closed R-1/2 and open R+1/2 differ by 1 integer-origin unit, not half a variable gap. The source's 45 normal passes and five corrupt-run failures are historical observations reported and inspected in the source review, not new execution here. The corrupt final VERDICT is unconditional; the nonzero exit and named failures govern its interpretation.\n\nThe predicate and the collapse test support only this finite recorded classification. They do not independently prove an exhaustive partition, a universal subtype theorem, novelty across external literature, regenerated producer data, an asymptotic statement, or a TPC result. The source credits #2288 for the divisor premise, #2297 for tail rows and collapse test, #2509 for predicate/typed rows, #2878/#4759 for the missing-row obligation, and #1976/#2254 for the original values. These predecessor credits and restrictions are inherited through #4763 and #1733; those predecessor reports and the external prior-art papers were not independently re-surveyed here.\n\n## Matrix\n\n| Target | Decision | Exact relevance or mismatch |\n|---|---|---|\n| g2-exponent | inapplicable | No uniform bound or exponent-improving bridge; run-count convention is a different parameter. |\n| adversarial | applicable, provisional | Existing denominator/unit regression example, consequential corruption controls, and warning about substring truth checks and unconditional VERDICT output. |\n| formalize | unresolved | Possible finite rational/predicate statement, but no corrected accepted target correspondence, Lean declarations or receipt; universal interpretation withheld. |\n| measure | inapplicable | No numbered-instrument range extension, larger census, producer or measured algorithmic gain. |\n| infinitude | inapplicable | No unbounded signed margin, occupied-zone implication or infinitude theorem. |\n| finiteness-structure | inapplicable | Origin/classNull labels provide no consequence conditional on finitely many twins. |\n| kk-lower-bound | inapplicable | Neither main nor any separate O1-O7 assertion receives its required statement-specific evidence. |\n\nEach structured entry preserves the exact declared scope key, its unresolved authority condition, source/review locators, target-specific assumptions and exclusions. Positive relevance is provisional. Only the server can determine effective consideration and validated-transfer flags. The formalize gap does not schedule a new experiment or another review.\n\n## Work and failures\n\nScientific CPU seconds: 0. Compute calls: 0. Scientific inputs executed: none; seeds: none; scientific execution failures: none. No scientific program, witness search, proof or producer was run. No new public artifact, route change, review request or document revision is supplied. Only the controller will publish this result.\n\nThe initial three read-only API calls failed with DNS error `[Errno 8] nodename nor servname provided, or not known` inside the restricted network environment. Repeating those same reads with approved network access succeeded with status 200. One local evidence-display command failed with AttributeError because the shared-research reply is text, not an object; parsing its observed type corrected the display without changing source data. The suggested local shared-research directory was absent, so the issued latest lane summaries and current served source/review were used. These were inspection failures, not scientific failures or a remaining source blocker.\n\n## Sources\n\n- `/projects/twin-primes/return/4763`, report sections Row, Register, Corpus verdict, Custody, Prior art and Depends on; served report hash above; complete source record and artifact metadata read.\n- `/projects/twin-primes/review/1733`, as included in the served return: Decisive evidence, Corrections and withheld extensions, structured research_assessment. This is the scientific authority reused.\n- Latest summaries included in job #9647: `/projects/twin-primes/state/g2-exponent` v4; `state/adversarial` v10; `state/formalize` v6; `state/measure` v2; `state/infinitude` v3; `state/finiteness-structure` v5, especially Best results, Tricks and Open questions. These are issued summary snapshots, not claims of fresh page fetches.\n- Job #9647, The task: exact seven target domains, including separately enumerated kk-lower-bound.main and O1-O7.\n- `/projects/twin-primes/research-applicability`, source #4763 row and live target configuration; `/projects/twin-primes/research-protocol?section=shared-research`, Cross-area applicability.\n- Cached department protocol, evidence, publication and files sections only.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-19T07:50:47.698Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[4763],"messages":[]},"tokens":{"log":"summary","input":96136,"models":{"gpt-6.1-sol":11768},"output":11768,"source":"reported","entries":0,"cache_read":874112,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Source-only administrative recipe; no scientific execution. With controller/task locations supplied locally, run `python3 day_runner_v3.py hello --directory \"$TASK_DIRECTORY\"`, then `python3 day_runner_v3.py get --directory \"$TASK_DIRECTORY\" --path /projects/twin-primes/return/4763`, the same get command for `/projects/twin-primes/research-applicability`, and for `/projects/twin-primes/research-protocol?section=shared-research`. The command paths are privacy-normalized. Read the issued latest summaries, source report and current review once. Compute SHA-256 of report_md encoded as UTF-8, compare it with the issued report hash, compare exact scope objects, artifact name/hash pairs, review notes/assessment and target configuration with the issued copies, and require accepted/non-provisional/trusted source status. Compare every issued target domain with the review-restricted source, record the matrix and preserve unendorsed scope status. This recipe describes the reads and metadata comparisons actually performed, not a producer/checker rerun.","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":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-19T07:50:54.075Z","file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_881be467b0112d2f39dc8f0b","run_id":"run_0f7c43b7501c47d6f1f98e0e","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":{"schema":"research-applicability-v1","entries":[{"decision":"inapplicable","target_id":"g2-exponent","scope_keys":["route185-divisor-row-and-typed-register"],"evidence_md":"/projects/twin-primes/return/4763, Row/Register, as restricted by /projects/twin-primes/review/1733, establishes finite denominator and register distinctions. The issued /projects/twin-primes/state/g2-exponent summary v4, Best results/Open questions, concerns improving the upper exponent 4.26645028... via a uniform bound. The relative denominator effect 1/L concerns a fixed-population run count; the source supplies no bound uniform in the sieve level, doubling cap, or upper-exponent reduction.","assumptions_md":"Do not identify the run length L with the asymptotic sieve parameter or turn a finite convention correction into an upper bound. Inapplicability is to the stated exponent-improvement target, not a refutation of other exponent routes. Provisional relevance only. The declared scope route185-divisor-row-and-typed-register (SHA-256 b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901) remains pending scoped endorsement, with review_ids []; review #1733 endorses no exact scope. Its unchanged domain says p=29, whereas acceptance is restricted to corrected p=31. Preserve the 11 named rows, 6 L and 5 S, the stipulated own-unit predicate, and the #2008 correction: closed R-1/2 to open R+1/2 is a shift of 1 integer-origin unit, not half a variable gap. No new row, universal subtype theorem, literature novelty, producer regeneration, speedup or TPC consequence is established. Missing scope authority remains an unresolved validation condition for any possible transfer; this screen neither endorses the scope nor requests further execution.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":["route185-divisor-row-and-typed-register"],"evidence_md":"Direct provisional relevance: /projects/twin-primes/return/4763, Row/Custody, and /projects/twin-primes/review/1733, Decisive evidence/Corrections, provide an existing finite regression example for validator scrutiny. The same three gaps with sum 246 are divided by 3 or 4, yielding 82 or 123/2; distinguishing divisor count from population prevents a convention error from being treated as a change of object. Review #1733 reports 45 normal PASS lines and five corrupt-run failures, and warns that the corrupt output prints an unconditional final VERDICT despite its nonzero exit. Its substring check also cannot establish the scientific truth of an obsolete p=29 quotation. These are concrete source examples for the issued /projects/twin-primes/state/adversarial summary, Tricks/Open questions, concerning controls that affect quantities actually read by validators.","assumptions_md":"Relevance covers these named denominator, unit and control-interpretation examples only. The 45 passes and five failures are historical observations inspected by review #1733, not executions by this screener. No fresh counterexample to another accepted lemma or claim of general validator soundness follows. Provisional relevance only. The declared scope route185-divisor-row-and-typed-register (SHA-256 b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901) remains pending scoped endorsement, with review_ids []; review #1733 endorses no exact scope. Its unchanged domain says p=29, whereas acceptance is restricted to corrected p=31. Preserve the 11 named rows, 6 L and 5 S, the stipulated own-unit predicate, and the #2008 correction: closed R-1/2 to open R+1/2 is a shift of 1 integer-origin unit, not half a variable gap. No new row, universal subtype theorem, literature novelty, producer regeneration, speedup or TPC consequence is established. Missing scope authority remains an unresolved validation condition for any possible transfer; this screen neither endorses the scope nor requests further execution.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"formalize","scope_keys":["route185-divisor-row-and-typed-register"],"evidence_md":"/projects/twin-primes/return/4763, Row/Register, and /projects/twin-primes/review/1733 identify finite rational arithmetic and an explicit predicate that could be candidate statements for formalization. However, the issued /projects/twin-primes/state/formalize summary v6 concerns exact Lean declarations, definitions and accepted statement bindings. This source supplies no Lean declarations or receipt, and its only typed domain still pins the wrong prime. Review #1733 also withholds the universal/subtype reading. Thus there is possible finite-statement relevance, but no established correspondence to a corrected, accepted formal target.","assumptions_md":"An exact corrected statement and its ordinary scientific authority would be needed before transferring it as an accepted formalization target. This is a recorded applicability gap, not a new formalization proposal or a request to rerun or prove anything. No existing Lean lemma or manuscript binding is changed. Provisional relevance only. The declared scope route185-divisor-row-and-typed-register (SHA-256 b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901) remains pending scoped endorsement, with review_ids []; review #1733 endorses no exact scope. Its unchanged domain says p=29, whereas acceptance is restricted to corrected p=31. Preserve the 11 named rows, 6 L and 5 S, the stipulated own-unit predicate, and the #2008 correction: closed R-1/2 to open R+1/2 is a shift of 1 integer-origin unit, not half a variable gap. No new row, universal subtype theorem, literature novelty, producer regeneration, speedup or TPC consequence is established. Missing scope authority remains an unresolved validation condition for any possible transfer; this screen neither endorses the scope nor requests further execution.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"measure","scope_keys":["route185-divisor-row-and-typed-register"],"evidence_md":"/projects/twin-primes/return/4763, Files/Custody, with /projects/twin-primes/review/1733, records a finite register checker, not a larger-range measurement instrument. The issued /projects/twin-primes/state/measure summary v2, What worked/Tricks/Open questions, identifies numbered scripts 01-06, exact ladder producers, and larger tile/range outputs. The source adds no such range, ladder term, census, scalable producer or measured cost advantage; its report expressly says no producer was rerun.","assumptions_md":"The denominator example is useful background hygiene, but no exact mapping to a numbered instrument or demonstrated range-extension mechanism is supplied. Source integrity checks, check counts and control failures are not measurement throughput or expanded scientific coverage. Provisional relevance only. The declared scope route185-divisor-row-and-typed-register (SHA-256 b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901) remains pending scoped endorsement, with review_ids []; review #1733 endorses no exact scope. Its unchanged domain says p=29, whereas acceptance is restricted to corrected p=31. Preserve the 11 named rows, 6 L and 5 S, the stipulated own-unit predicate, and the #2008 correction: closed R-1/2 to open R+1/2 is a shift of 1 integer-origin unit, not half a variable gap. No new row, universal subtype theorem, literature novelty, producer regeneration, speedup or TPC consequence is established. Missing scope authority remains an unresolved validation condition for any possible transfer; this screen neither endorses the scope nor requests further execution.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":["route185-divisor-row-and-typed-register"],"evidence_md":"/projects/twin-primes/return/4763, Register/Corpus verdict, is restricted by /projects/twin-primes/review/1733 to the corrected finite table; no result on the Twin Prime Conjecture is endorsed. The issued /projects/twin-primes/state/infinitude summary v3, Best results/Open questions, requires a sufficient signed estimate on unbounded scales or another proved implication to infinitely many twins. The finite L/S labels and divisor discrepancy supply neither such estimate nor infinitely many occupied zones.","assumptions_md":"No finite-to-infinite extrapolation or new route is licensed. A class labeled S denotes the stipulated finite opposing-value test, not a signed asymptotic saving. Existing route closures and open signed-margin obligations are unaffected. Provisional relevance only. The declared scope route185-divisor-row-and-typed-register (SHA-256 b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901) remains pending scoped endorsement, with review_ids []; review #1733 endorses no exact scope. Its unchanged domain says p=29, whereas acceptance is restricted to corrected p=31. Preserve the 11 named rows, 6 L and 5 S, the stipulated own-unit predicate, and the #2008 correction: closed R-1/2 to open R+1/2 is a shift of 1 integer-origin unit, not half a variable gap. No new row, universal subtype theorem, literature novelty, producer regeneration, speedup or TPC consequence is established. Missing scope authority remains an unresolved validation condition for any possible transfer; this screen neither endorses the scope nor requests further execution.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":["route185-divisor-row-and-typed-register"],"evidence_md":"/projects/twin-primes/return/4763, Register, includes origin/tail and classNull rows, but /projects/twin-primes/review/1733 limits these to the named finite classification and corrects the origin unit. The issued /projects/twin-primes/state/finiteness-structure summary v5, Best results/Open questions, asks for quantified consequences conditional on finitely many twins, beyond eventual zone emptiness and G2(x#) >= x-prime-squared minus 2. Neither the source nor its accepted correction imposes that finiteness hypothesis or derives any new conditional structure. A shared statistic name alone supplies no bridge.","assumptions_md":"Do not use the heuristic interpretation of S as a theorem about a finite twin count, identify classNull with a finiteness null hypothesis, or reinterpret an origin shift as evidence for or against eventual absence of twins. This decision leaves the lane hypotheses and statistical models unchanged. Provisional relevance only. The declared scope route185-divisor-row-and-typed-register (SHA-256 b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901) remains pending scoped endorsement, with review_ids []; review #1733 endorses no exact scope. Its unchanged domain says p=29, whereas acceptance is restricted to corrected p=31. Preserve the 11 named rows, 6 L and 5 S, the stipulated own-unit predicate, and the #2008 correction: closed R-1/2 to open R+1/2 is a shift of 1 integer-origin unit, not half a variable gap. No new row, universal subtype theorem, literature novelty, producer regeneration, speedup or TPC consequence is established. Missing scope authority remains an unresolved validation condition for any possible transfer; this screen neither endorses the scope nor requests further execution.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":["route185-divisor-row-and-typed-register"],"evidence_md":"/projects/twin-primes/return/4763 and /projects/twin-primes/review/1733 concern route-185 finite register arithmetic, not any designated kk-lower-bound declaration or its assumptions. Against the exact issued paper domain: main receives no survivor-gap lower-bound proof, full-cutoff/integer/crossing-gap binding or quantifier/logarithm evidence; O1 receives no prime-harmonic constant or o(1) remainder; O2 no two-variable uniform smooth-number asymptotic up to u <= Z^(1-epsilon); O3 no extension from sufficient A=12 to every fixed A>4; O4 no dyadic prime-count asymptotic with coefficient 1/2; O5 no quoted general sieve/external one-class input; O6 no two-sided density/Euler estimates; O7 no equation (28) constant with its hypotheses and ranges. The finite divisor row addresses none of those exact obligations.","assumptions_md":"Keep main and O1-O7 separate. General awareness of boundary conventions does not identify a defect in the current manuscript or settle any listed obligation. No new manuscript revision, integration or assurance judgment is made, and unrelated open obligations do not revoke the accepted main theorem. Provisional relevance only. The declared scope route185-divisor-row-and-typed-register (SHA-256 b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901) remains pending scoped endorsement, with review_ids []; review #1733 endorses no exact scope. Its unchanged domain says p=29, whereas acceptance is restricted to corrected p=31. Preserve the 11 named rows, 6 L and 5 S, the stipulated own-unit predicate, and the #2008 correction: closed R-1/2 to open R+1/2 is a shift of 1 integer-origin unit, not half a variable gap. No new row, universal subtype theorem, literature novelty, producer regeneration, speedup or TPC consequence is established. Missing scope authority remains an unresolved validation condition for any possible transfer; this screen neither endorses the scope nor requests further execution.","transfer_eligible":false,"provisional_relevance":true}],"targets":[{"id":"g2-exponent","lane":"g2-exponent","title":"Lower the G₂ upper-bound exponent (4.27 toward 2)","domain_md":"Lower the G₂ upper-bound exponent (4.27 toward 2). Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"adversarial","lane":"adversarial","title":"Break accepted lemmas: counterexample search against validators","domain_md":"Break accepted lemmas: counterexample search against validators. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"formalize","lane":"formalize","title":"Lean 4 formalization of accepted lemmas","domain_md":"Lean 4 formalization of accepted lemmas. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"measure","lane":"measure","title":"Extend numbered measurement scripts to larger ranges","domain_md":"Extend numbered measurement scripts to larger ranges. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"infinitude","lane":"infinitude","title":"Routes toward infinitude not in the refuted registry","domain_md":"Routes toward infinitude not in the refuted registry. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"finiteness-structure","lane":"finiteness-structure","title":"What structure a finite twin count would force (disproof-shaped lane)","domain_md":"What structure a finite twin count would force (disproof-shaped lane). Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"kk-lower-bound","paper":"kk-lower-bound","title":"Mapped paper claims and separate obligations","domain_md":"kk-lower-bound.main: Survivor-gap lower bound, full cutoff, integers, crossing gaps, quantifiers and logarithms, sufficient A=12. This is not twin-prime infinitude. Only designated declarations and their exact assumptions are covered; O1–O7 remain separate.\nkk-lower-bound.o1: Prime harmonic asymptotic with constant and o(1) remainder; distinguish finite bounds and asymptotic equality.\nkk-lower-bound.o2: Two-variable uniform smooth-number asymptotic, including u <= Z^(1-epsilon); do not transfer a fixed-u theorem without a uniformity bridge.\nkk-lower-bound.o3: Every fixed A > 4; the accepted main proof uses sufficient A=12. The general-A extension remains separate.\nkk-lower-bound.o4: Dyadic prime-count asymptotic with coefficient 1/2; an eventual y/(3 log y) lower bound does not prove equality.\nkk-lower-bound.o5: The quoted general sieve input and external one-class statement; distinguish accepted finite dimension-4, CRT and covering results.\nkk-lower-bound.o6: Two-sided density and Euler estimates; a finite one-sided bound does not close this obligation.\nkk-lower-bound.o7: The exact constant in equation (28), with its hypotheses and parameter ranges.","topic_ids":["kk-lower-bound.main","kk-lower-bound.o1","kk-lower-bound.o2","kk-lower-bound.o3","kk-lower-bound.o4","kk-lower-bound.o5","kk-lower-bound.o6","kk-lower-bound.o7"]}],"reviewer":{"model":"gpt-6.1-sol","effort":"high","handle":"Benjaminsen","trusted":true,"user_id":1,"authority_basis":"project_grant","same_contributor":true},"effective":true,"check_job_id":9647,"input_sha256":"9f6638d872cc6219656024f4bdb17639f82ccbf978cddc2df8eacf3403d14195","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[["route185-divisor-row-and-typed-register","b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901"]],"report_sha256":"56a022400af9561ab10194d5723f8794220417aa27d8ddcc912c07c215cf0ad3","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":4763,"material_evidence":{"sha256":"b2bf5a90fdbc328222eb953f8dede4316e7f4ae8c780c003b5a0a41eb85883f0","entries":{"return:4763":"b69493ff44b8789dce9041362fee3867db4a493422848828fce671816994e5bf","review:4763:1:gpt-6.1-sol":"ebbb661d8fa33cf1b50ef0dee1ed6ab90a8daaa917840f8a69ac868dd9f7d866","artifact:4763:0b81e551694c59de82383b55c0d7759846427e87131de6202f144c774e1562ef":"0b81e551694c59de82383b55c0d7759846427e87131de6202f144c774e1562ef","artifact:4763:58c243c81d4c7173403205ab4df3ee709e72d07213a1ca51610c12a58ff7f201":"58c243c81d4c7173403205ab4df3ee709e72d07213a1ca51610c12a58ff7f201","artifact:4763:67749d51be954a3f0b3d665bb43896a95200b685c0092763de548bcec60d634d":"67749d51be954a3f0b3d665bb43896a95200b685c0092763de548bcec60d634d","artifact:4763:6d62be40d3324ebd2b153e30c1b603710076a437e5caa9beb708d7dae0c5c4a1":"6d62be40d3324ebd2b153e30c1b603710076a437e5caa9beb708d7dae0c5c4a1"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":4763,"consideration_only":true,"scientific_authority":false,"provisional_relevance":true,"base_assessment_return_id":null},"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"Bounded applicability screening of accepted scientific return #4763: provisional consideration before validated transfer. This is relevance judgment, not another acceptance of the source or endorsement of unvalidated scopes. Do not run experiments, reproduce a computation or re-prove the source. No prior screening. Read the source and its current scope assessments once.\n\nSource snapshot: {\"version\":\"research-applicability-v1\",\"consideration_only\":true,\"source_return_id\":4763,\"report_sha256\":\"56a022400af9561ab10194d5723f8794220417aa27d8ddcc912c07c215cf0ad3\",\"scope_hashes\":[[\"route185-divisor-row-and-typed-register\",\"b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901\"]],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:4763\":\"b69493ff44b8789dce9041362fee3867db4a493422848828fce671816994e5bf\",\"review:4763:1:gpt-6.1-sol\":\"ebbb661d8fa33cf1b50ef0dee1ed6ab90a8daaa917840f8a69ac868dd9f7d866\",\"artifact:4763:0b81e551694c59de82383b55c0d7759846427e87131de6202f144c774e1562ef\":\"0b81e551694c59de82383b55c0d7759846427e87131de6202f144c774e1562ef\",\"artifact:4763:58c243c81d4c7173403205ab4df3ee709e72d07213a1ca51610c12a58ff7f201\":\"58c243c81d4c7173403205ab4df3ee709e72d07213a1ca51610c12a58ff7f201\",\"artifact:4763:67749d51be954a3f0b3d665bb43896a95200b685c0092763de548bcec60d634d\":\"67749d51be954a3f0b3d665bb43896a95200b685c0092763de548bcec60d634d\",\"artifact:4763:6d62be40d3324ebd2b153e30c1b603710076a437e5caa9beb708d7dae0c5c4a1\":\"6d62be40d3324ebd2b153e30c1b603710076a437e5caa9beb708d7dae0c5c4a1\"},\"sha256\":\"b2bf5a90fdbc328222eb953f8dede4316e7f4ae8c780c003b5a0a41eb85883f0\"},\"targets_sha256\":\"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18\"}\nDeclared non-witness scopes with their existing authority: [{\"key\":\"route185-divisor-row-and-typed-register\",\"kind\":\"finite\",\"domain_md\":\"The 11 rows of the route-185 register: 9 from #2509/#2297, plus #2008 and the #1976 divisor row (p = 29, L = 4).\",\"statement_md\":\"Under the route-185 register predicate (L iff 2*offset is an integer in the row's own unit; S only with a live opposing value), the #1976 divisor family is L. It divides W = 246 over the same 3 internal gaps by L-1 = 3 (served 82) or by L = 4 (stored 123/2): a one-count shift on the divisor axis, relative effect 1/L. The completed 11-row register has 6 L rows and 5 S rows, no untyped row, and the collapse test fails for every S row.\",\"assumptions_md\":\"The predicate is as implemented in #2509 check_co.py. The tail rows are completed from #2297 check_af.json. Served text and file shas are as of job #6052.\",\"artifact_sha256\":[\"67749d51be954a3f0b3d665bb43896a95200b685c0092763de548bcec60d634d\",\"6d62be40d3324ebd2b153e30c1b603710076a437e5caa9beb708d7dae0c5c4a1\",\"58c243c81d4c7173403205ab4df3ee709e72d07213a1ca51610c12a58ff7f201\",\"0b81e551694c59de82383b55c0d7759846427e87131de6202f144c774e1562ef\"],\"transfer_conditions_md\":\"This is a typing of these rows only. Whether a new row is L or S has to be decided with the same predicate in that row's own unit.\",\"scope_sha256\":\"b866e317e5bd3c635e4c2f62e848a7447bad86cbb9c0b8e647da8bc7523f8901\",\"research_status\":\"pending scoped endorsement\",\"review_ids\":[]}]\nConfigured areas: [{\"id\":\"g2-exponent\",\"title\":\"Lower the G₂ upper-bound exponent (4.27 toward 2)\",\"lane\":\"g2-exponent\",\"topic_ids\":[],\"domain_md\":\"Lower the G₂ upper-bound exponent (4.27 toward 2). Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.\"},{\"id\":\"adversarial\",\"title\":\"Break accepted lemmas: counterexample search against validators\",\"lane\":\"adversarial\",\"topic_ids\":[],\"domain_md\":\"Break accepted lemmas: counterexample search against validators. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.\"},{\"id\":\"formalize\",\"title\":\"Lean 4 formalization of accepted lemmas\",\"lane\":\"formalize\",\"topic_ids\":[],\"domain_md\":\"Lean 4 formalization of accepted lemmas. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.\"},{\"id\":\"measure\",\"title\":\"Extend numbered measurement scripts to larger ranges\",\"lane\":\"measure\",\"topic_ids\":[],\"domain_md\":\"Extend numbered measurement scripts to larger ranges. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.\"},{\"id\":\"infinitude\",\"title\":\"Routes toward infinitude not in the refuted registry\",\"lane\":\"infinitude\",\"topic_ids\":[],\"domain_md\":\"Routes toward infinitude not in the refuted registry. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.\"},{\"id\":\"finiteness-structure\",\"title\":\"What structure a finite twin count would force (disproof-shaped lane)\",\"lane\":\"finiteness-structure\",\"topic_ids\":[],\"domain_md\":\"What structure a finite twin count would force (disproof-shaped lane). Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.\"},{\"id\":\"kk-lower-bound\",\"title\":\"Mapped paper claims and separate obligations\",\"paper\":\"kk-lower-bound\",\"topic_ids\":[\"kk-lower-bound.main\",\"kk-lower-bound.o1\",\"kk-lower-bound.o2\",\"kk-lower-bound.o3\",\"kk-lower-bound.o4\",\"kk-lower-bound.o5\",\"kk-lower-bound.o6\",\"kk-lower-bound.o7\"],\"domain_md\":\"kk-lower-bound.main: Survivor-gap lower bound, full cutoff, integers, crossing gaps, quantifiers and logarithms, sufficient A=12. This is not twin-prime infinitude. Only designated declarations and their exact assumptions are covered; O1–O7 remain separate.\\nkk-lower-bound.o1: Prime harmonic asymptotic with constant and o(1) remainder; distinguish finite bounds and asymptotic equality.\\nkk-lower-bound.o2: Two-variable uniform smooth-number asymptotic, including u <= Z^(1-epsilon); do not transfer a fixed-u theorem without a uniformity bridge.\\nkk-lower-bound.o3: Every fixed A > 4; the accepted main proof uses sufficient A=12. The general-A extension remains separate.\\nkk-lower-bound.o4: Dyadic prime-count asymptotic with coefficient 1/2; an eventual y/(3 log y) lower bound does not prove equality.\\nkk-lower-bound.o5: The quoted general sieve input and external one-class statement; distinguish accepted finite dimension-4, CRT and covering results.\\nkk-lower-bound.o6: Two-sided density and Euler estimates; a finite one-sided bound does not close this obligation.\\nkk-lower-bound.o7: The exact constant in equation (28), with its hypotheses and parameter ranges.\"}]\n\nFor each area return applicability_assessment:{source_return_id:4763,input_sha256:\"9f6638d872cc6219656024f4bdb17639f82ccbf978cddc2df8eacf3403d14195\",entries:[{target_id,decision:\"applicable|inapplicable|unresolved\",scope_keys:[<declared source keys; [] when the accepted report has no typed scope>],evidence_md,assumptions_md}]}. Cite source evidence and explain the possible bridge or mismatch with each area's exact domain. Missing scope authority is an unresolved validation condition, not a demand for another full review or experiment. Applicability remains provisional unless every referenced scope satisfies the existing exact scientific authority rules; only validated entries can be transferred automatically. Preserve the claim's original scope; an extension is unresolved until ordinary scientific review. An unresolved entry is a recorded gap, not an instruction for a new experiment. Submit no new scientific claims, artifacts, review request or route changes in this administrative screening. Record existing evidence even when every area is inapplicable. GET <project>/research-applicability is the live index; OUTCOMES document integration is separate.","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"lean_execution_binding":null,"lean_scientific_identity":null,"lean_execution_identity":null,"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/4771/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"ab1afa698fb7bd50cccb176758ee27af6e60512405d0a666bc2a6e00110d2005","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}