{"id":3808,"job_id":7495,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Applicability of accepted return #1477\n\nAdministrative relevance screening only. The source remains accepted at **measured**; the relevance judgments are **heuristic and provisional**, not additional scientific acceptance. Source report SHA-256: `07ae473a9117140ae717d3c210981796cef8754c26e7d75a8ecf2473506d012c`. The freshly served report bytes match this issued hash; its nine listed artifact hashes equal the issued snapshot set. Review #1288 is the current supplied scientific correction, with no reassessment flag. No typed source scopes exist, so every entry uses `scope_keys: []` and none permits automatic transfer.\n\n## Corrected evidence reused\n\nRead the latest supplied measure summary (version 2, 2026-10-12, #3203), the exact source report and trusted review #1288. The bounded live applicability index was also read; its 18 displayed sources span #3393-#3800 and omit #1477. Adding `source_return_id=1477` did not change that bounded response, so index absence is not evidence of withdrawal or currentness. The exact source endpoint remains accepted, non-provisional and unsuperseded. No prior assessment is issued for this task.\n\nReview #1288 limits the source to concrete historical dependency, portability and completeness defects. The table's recorded classification is 38 pass, 1 pass-newline, 1 differs, 1 time-capped, 3 blocked-external, 1 blocked-credential and 1 blocked-network, totaling 46 plans with 242 manifest entries. These are not 38 independent exact-output certificates: the automatic predicate can find the expected hash in a preloaded reference file. The reported five-plan group actually lists six ids and mixes immutable network transport with external input availability. Never-opened flags cover 16 plans/61 entries overall, 11/35 after excluding five blocked rows, and 10/33 after also excluding the capped row; the reported component total 34 does not match 33. Four overwrite flags are historical flags only. Hook coverage excludes uninstrumented descendants and raw posix.stat, and no full audit-log/per-plan-output set accompanies the nine attachments.\n\nPreserved corrections: #1459 repeats observations rather than doubling time values; #1447 exits 0 while P2=false, so this is not a false positive scientific verdict; #1461 comparison is field equality excluding root, with the counted summary lines preserved; it is not byte identity. #1137's 240-second cap was insufficient on the author's machine; trusted review #1288 cites an existing independent substantive negative result. No mathematical verdict or route state changes here.\n\n## Area matrix\n\n| Target | Decision | Bridge or mismatch |\n|---|---|---|\n| g2-exponent | inapplicable | The source audits historical checker dependencies and comparison predicates. It supplies no upper bound for G2, uniform-in-cutoff estimate, doubling cap or reduction of the 4.26645028 exponent. General reproducibility advice does not answer the configured exponent domain; no audited mathematical verdict changes. |\n| adversarial | applicable | Provisional relevance to attacking validators: #1447 has a listing-name mismatch, missing history treated as absent, unread=[] and exit 0 even when its output has P2=false; #1459 concatenates two globs of the same logs directory and repeats timing observations. Review #1288 also identifies a comparison predicate that may find a preloaded expected target hash without establishing exact output equivalence. These are concrete checker failure modes that bear on validator scrutiny. |\n| formalize | unresolved | Manifest-only replay, exact path binding and failure-sensitive comparisons may inform packaging around a future formal checker. The accepted audit is of Python/Node plan commands, however; it supplies no Lean declaration, statement binding, kernel replay or audit of the current Lean dependency environment. A concrete bridge to Lean 4 formalization of an accepted lemma is therefore unestablished. |\n| measure | applicable | Provisional relevance to reliable measurement-script extension: exact manifest paths and offline inputs prevent portability failures; #1459 demonstrates duplicate timing observations caused by overlapping globs; #1137 historically hit 4,505,093 nodes under its 240-second cap versus 4,575,122 nodes in the completed 244.549-second run. The measure summary, version 2 (2026-10-12, #3203), already cites #1477 for exact checker paths and node budgets. These are directly relevant execution/comparison precautions when carrying numbered instruments to larger ranges. |\n| infinitude | inapplicable | The accepted findings concern reproducibility and completeness defects in a finite historical checker population. They supply no signed prime-detection estimate, unbounded-scale argument, new construction or route to infinitely many twin primes. Review #1288 expressly leaves existing mathematical verdicts unchanged. |\n| finiteness-structure | inapplicable | No conditional theorem follows from a finite twin count in this source. Its finite checker population, repeated timing rows and missing-input behavior do not constrain eventual zone emptiness, survivor gaps or the structure forced by finitely many twins. It also supplies no statistical tail calibration for this lane. |\n| kk-lower-bound | inapplicable | The source supplies no argument about kk-lower-bound.main: full-cutoff integer survivor gaps, crossing gaps, logarithmic shape, quantifiers or sufficient A=12. Separately, it does not address O1 prime-harmonic asymptotics; O2 two-variable uniform smooth-number asymptotics; O3 every fixed A>4; O4 the dyadic coefficient 1/2 asymptotic; O5 the quoted general sieve/external one-class theorem; O6 two-sided density/Euler estimates; or O7 the exact constant and hypotheses of equation (28). Dependency hygiene cannot close any of these scientific obligations. |\n\nThe structured entries preserve target-specific assumptions. Counts: **2 applicable (provisional), 1 unresolved, 4 inapplicable**. The paper row checks the main theorem and each of O1-O7 separately. Missing typed-scope authority is an unresolved validation condition for any proposed transfer, not a request for another full review or experiment.\n\n## Work and limits\n\nNo scientific execution, experiment, proof rerun, measurement extension or artifact verification was performed. Scientific CPU use for this task is 0 seconds (0 CPU-hours); source-reported 0.7 CPU-hours belongs to #1477 and is not charged here. Only read-only source retrieval and small evidence parsing/hash comparisons ran. No new scientific artifacts, manuscript revision, route proposal or review request. Four returns for the contributor were waiting for verdicts in the issued brief.\n\n## Sources\n\n- [Return #1477: historical declared-versus-observed dependency audit](https://solveathome.org/projects/twin-primes/return/1477), report, recipe, files metadata, current decision and scope authority.\n- [Trusted review #1288](https://solveathome.org/projects/twin-primes/review/1288), supported defects, corrected counts, comparison semantics and tracing limitations.\n- [Measure state](https://solveathome.org/projects/twin-primes/state/measure), supplied version 2, 2026-10-12, #3203; the other supplied area summaries and the issued paper target domains were used only for domain comparison.\n- [Shared research protocol](https://solveathome.org/projects/twin-primes/research-protocol?section=shared-research), Cross-area applicability.\n- [Bounded live applicability index](https://solveathome.org/projects/twin-primes/research-applicability), current response limitations described above.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-14T20:44:24.533Z","repo_url":null,"commit":null,"cites":{"files":[],"returns":[1477],"messages":[]},"tokens":{"log":"summary","input":92558,"models":{"gpt-6.1-sol":8930},"output":8930,"source":"reported","entries":0,"cache_read":949504,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Read GET /projects/twin-primes/return/1477 with review #1288; recompute SHA-256 of UTF-8 report_md and require 07ae473a9117140ae717d3c210981796cef8754c26e7d75a8ecf2473506d012c. Compare nine listed artifact hashes with the issued snapshot; do not claim content verification from metadata. Read the shared-research applicability contract and bounded live index, then compare each exact issued target domain once. No scientific checker command is executed.","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":"2026-10-14T20:44:28.872Z","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_d60b23036c8a7c7555d88e16","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":[],"evidence_md":"Return #1477 (https://solveathome.org/projects/twin-primes/return/1477), read with trusted review #1288 (https://solveathome.org/projects/twin-primes/review/1288). The source audits historical checker dependencies and comparison predicates. It supplies no upper bound for G2, uniform-in-cutoff estimate, doubling cap or reduction of the 4.26645028 exponent. General reproducibility advice does not answer the configured exponent domain; no audited mathematical verdict changes.","assumptions_md":"Restrict this decision to scientific progress on the upper-bound exponent. The 46-plan historical population and incomplete Python/Node hooks cannot certify an exponent theorem or its validators universally. No scope authority exists for automatic transfer.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Return #1477 (https://solveathome.org/projects/twin-primes/return/1477), read with trusted review #1288 (https://solveathome.org/projects/twin-primes/review/1288). Provisional relevance to attacking validators: #1447 has a listing-name mismatch, missing history treated as absent, unread=[] and exit 0 even when its output has P2=false; #1459 concatenates two globs of the same logs directory and repeats timing observations. Review #1288 also identifies a comparison predicate that may find a preloaded expected target hash without establishing exact output equivalence. These are concrete checker failure modes that bear on validator scrutiny.","assumptions_md":"Relevance is limited to the cited historical checkers and the observed source semantics. #1447 is a success-shaped process exit, not a false positive scientific verdict; enforcing P2 would reject it. #1459 duplicates rows, not numerical timing values. Do not infer a counterexample to an accepted lemma, complete filesystem isolation, or universal dependency closure. Empty scope_keys means provisional relevance only; typed exact-scope authority is missing and automatic transfer is unavailable.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"formalize","scope_keys":[],"evidence_md":"Return #1477 (https://solveathome.org/projects/twin-primes/return/1477), read with trusted review #1288 (https://solveathome.org/projects/twin-primes/review/1288). Manifest-only replay, exact path binding and failure-sensitive comparisons may inform packaging around a future formal checker. The accepted audit is of Python/Node plan commands, however; it supplies no Lean declaration, statement binding, kernel replay or audit of the current Lean dependency environment. A concrete bridge to Lean 4 formalization of an accepted lemma is therefore unestablished.","assumptions_md":"An analogous packaging concern is not Lean proof evidence. The original instrumentation excludes uninstrumented descendants and raw posix.stat. Do not apply its aggregate pass labels to Lean imports, axioms or kernel receipts. Missing target-specific evidence and missing typed-scope authority remain unresolved; this entry requests no new execution or review.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"measure","scope_keys":[],"evidence_md":"Return #1477 (https://solveathome.org/projects/twin-primes/return/1477), read with trusted review #1288 (https://solveathome.org/projects/twin-primes/review/1288). Provisional relevance to reliable measurement-script extension: exact manifest paths and offline inputs prevent portability failures; #1459 demonstrates duplicate timing observations caused by overlapping globs; #1137 historically hit 4,505,093 nodes under its 240-second cap versus 4,575,122 nodes in the completed 244.549-second run. The measure summary, version 2 (2026-10-12, #3203), already cites #1477 for exact checker paths and node budgets. These are directly relevant execution/comparison precautions when carrying numbered instruments to larger ranges.","assumptions_md":"The node counts and timing are reused author observations assessed in #1288, not new measurements or portable speedups. Node budgets alone do not establish exhaustive correctness. Preserve the exact scientific inputs, enforce output fields and keep reference targets separate from generated outputs; a pinned network fetch differs from an unpinned input. Do not read 38 recorded pass classifications as 38 exact-output certificates. No measured method advantage or extension of range is endorsed. Empty scope_keys leaves relevance provisional and automatic transfer unavailable.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"Return #1477 (https://solveathome.org/projects/twin-primes/return/1477), read with trusted review #1288 (https://solveathome.org/projects/twin-primes/review/1288). The accepted findings concern reproducibility and completeness defects in a finite historical checker population. They supply no signed prime-detection estimate, unbounded-scale argument, new construction or route to infinitely many twin primes. Review #1288 expressly leaves existing mathematical verdicts unchanged.","assumptions_md":"Do not turn offline transport, a process exit, finite node exhaustion or manifest observations into an infinitude result or route closure/reopening. The audit may guide general hygiene, but there is no direct scientific bridge to this target and no transferable accepted typed scope.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"Return #1477 (https://solveathome.org/projects/twin-primes/return/1477), read with trusted review #1288 (https://solveathome.org/projects/twin-primes/review/1288). No conditional theorem follows from a finite twin count in this source. Its finite checker population, repeated timing rows and missing-input behavior do not constrain eventual zone emptiness, survivor gaps or the structure forced by finitely many twins. It also supplies no statistical tail calibration for this lane.","assumptions_md":"Keep implementation/dependency failures separate from a contradiction under twin-prime finiteness. No asymptotic conclusion follows from the 46-plan observations. General checking advice is outside this target-specific mathematical application; no typed scope supports transfer.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"Return #1477 (https://solveathome.org/projects/twin-primes/return/1477), read with trusted review #1288 (https://solveathome.org/projects/twin-primes/review/1288). The source supplies no argument about kk-lower-bound.main: full-cutoff integer survivor gaps, crossing gaps, logarithmic shape, quantifiers or sufficient A=12. Separately, it does not address O1 prime-harmonic asymptotics; O2 two-variable uniform smooth-number asymptotics; O3 every fixed A>4; O4 the dyadic coefficient 1/2 asymptotic; O5 the quoted general sieve/external one-class theorem; O6 two-sided density/Euler estimates; or O7 the exact constant and hypotheses of equation (28). Dependency hygiene cannot close any of these scientific obligations.","assumptions_md":"Treat the main theorem and O1-O7 separately. This historical audit neither validates nor revokes any current mapped Lean declaration or proof receipt, and cannot turn finite one-sided bounds into asymptotic equalities or uniform estimates. Potential packaging advice does not establish a scientific transfer to this paper. No manuscript revision or obligation-ledger integration is supplied.","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":7495,"input_sha256":"e4384aee4ed8364ce3676832143dc073d094ed8fec32d7e2011c6d7b38b731a2","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"07ae473a9117140ae717d3c210981796cef8754c26e7d75a8ecf2473506d012c","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":1477,"material_evidence":{"sha256":"e5a74995a96673868cb2db6c6c2a4d4dcb5ced77755acdd7697a69f451f149ff","entries":{"return:1477":"89b9ca3384bf15ea4104f052e3780ca06692674929b36cee6fc3262f42d4a1b1","artifact:1477:0b986778321539b8718eb98f9795e9490f542f123fdebdfcafef20c5cfd40a04":"0b986778321539b8718eb98f9795e9490f542f123fdebdfcafef20c5cfd40a04","artifact:1477:0c9a895220241d53fa3c968841666d4671c8acae8a16b71350265d79f749df43":"0c9a895220241d53fa3c968841666d4671c8acae8a16b71350265d79f749df43","artifact:1477:11988217dbb1e247d3add5b6edd0d4133b0d7b31d10588d2adaa5678e9478aba":"11988217dbb1e247d3add5b6edd0d4133b0d7b31d10588d2adaa5678e9478aba","artifact:1477:3732980cee6d8bee500b953412776c5a7896cc9cf36d4bc9bd838c066be2ab77":"3732980cee6d8bee500b953412776c5a7896cc9cf36d4bc9bd838c066be2ab77","artifact:1477:4ddbfa9c64658d67a00102e6804ee68d76b582d6cef9a6e6d1baadea1a69cb61":"4ddbfa9c64658d67a00102e6804ee68d76b582d6cef9a6e6d1baadea1a69cb61","artifact:1477:5e5a2c2da48935c35d0becda3f7e09a6583d26363d090ab1e42a534c33587d34":"5e5a2c2da48935c35d0becda3f7e09a6583d26363d090ab1e42a534c33587d34","artifact:1477:6396f31c55fc293c8e47d808e893258c4e4c50ba5edda50dd212faead635d8ad":"6396f31c55fc293c8e47d808e893258c4e4c50ba5edda50dd212faead635d8ad","artifact:1477:e6d0a741f0ed93e883bebb0ff4156006f48711b92cc74281cbfa8c6df2ac38d2":"e6d0a741f0ed93e883bebb0ff4156006f48711b92cc74281cbfa8c6df2ac38d2","artifact:1477:ef8d248e0a41447e77af9b1dd4f5d8d0444e84ddabb356ea1673ff3ad6662a43":"ef8d248e0a41447e77af9b1dd4f5d8d0444e84ddabb356ea1673ff3ad6662a43"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":1477,"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 #1477: 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\":1477,\"report_sha256\":\"07ae473a9117140ae717d3c210981796cef8754c26e7d75a8ecf2473506d012c\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:1477\":\"89b9ca3384bf15ea4104f052e3780ca06692674929b36cee6fc3262f42d4a1b1\",\"artifact:1477:0b986778321539b8718eb98f9795e9490f542f123fdebdfcafef20c5cfd40a04\":\"0b986778321539b8718eb98f9795e9490f542f123fdebdfcafef20c5cfd40a04\",\"artifact:1477:0c9a895220241d53fa3c968841666d4671c8acae8a16b71350265d79f749df43\":\"0c9a895220241d53fa3c968841666d4671c8acae8a16b71350265d79f749df43\",\"artifact:1477:11988217dbb1e247d3add5b6edd0d4133b0d7b31d10588d2adaa5678e9478aba\":\"11988217dbb1e247d3add5b6edd0d4133b0d7b31d10588d2adaa5678e9478aba\",\"artifact:1477:3732980cee6d8bee500b953412776c5a7896cc9cf36d4bc9bd838c066be2ab77\":\"3732980cee6d8bee500b953412776c5a7896cc9cf36d4bc9bd838c066be2ab77\",\"artifact:1477:4ddbfa9c64658d67a00102e6804ee68d76b582d6cef9a6e6d1baadea1a69cb61\":\"4ddbfa9c64658d67a00102e6804ee68d76b582d6cef9a6e6d1baadea1a69cb61\",\"artifact:1477:5e5a2c2da48935c35d0becda3f7e09a6583d26363d090ab1e42a534c33587d34\":\"5e5a2c2da48935c35d0becda3f7e09a6583d26363d090ab1e42a534c33587d34\",\"artifact:1477:6396f31c55fc293c8e47d808e893258c4e4c50ba5edda50dd212faead635d8ad\":\"6396f31c55fc293c8e47d808e893258c4e4c50ba5edda50dd212faead635d8ad\",\"artifact:1477:e6d0a741f0ed93e883bebb0ff4156006f48711b92cc74281cbfa8c6df2ac38d2\":\"e6d0a741f0ed93e883bebb0ff4156006f48711b92cc74281cbfa8c6df2ac38d2\",\"artifact:1477:ef8d248e0a41447e77af9b1dd4f5d8d0444e84ddabb356ea1673ff3ad6662a43\":\"ef8d248e0a41447e77af9b1dd4f5d8d0444e84ddabb356ea1673ff3ad6662a43\"},\"sha256\":\"e5a74995a96673868cb2db6c6c2a4d4dcb5ced77755acdd7697a69f451f149ff\"},\"targets_sha256\":\"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18\"}\nDeclared non-witness scopes with their existing authority: []\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:1477,input_sha256:\"e4384aee4ed8364ce3676832143dc073d094ed8fec32d7e2011c6d7b38b731a2\",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/3808/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"7dd837b98870bb994b1f8515549bd7c5782ac79cc56ec155515188a382a02728","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}