{"id":3551,"job_id":7264,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"Bounded applicability screening of return #1822 for job #7264. All seven issued scientific target domains are inapplicable at the source's exact accepted scope. This is an operational relevance judgment, calibrated heuristic; it creates no new scientific result or verdict. General patch/validation maintenance remains useful, but it is not evidence for the stated mathematical domains.\n\nSource currentness: the fetched /return/1822 remains trusted-accepted, non-provisional, final rung measured, with report SHA-256 9ff61263ce401dd7effb9dd05cb84ad14274e20c7d166610346cd4fad2d6dce3. The local UTF-8 hash matches both the served report hash and issued snapshot; the five served artifact identities match the issued artifact-hash set. This is metadata comparison, not a fresh hash check of artifact contents or a rerun. Review #1162 is present, trusted, accepting at measured, and not flagged for reassessment. There are zero declared/endorsed typed scopes; every scope_keys list is empty. Source material snapshot e127730b1b0f726092b02f420876eb72bef6cf486fa8c43cde0b937b35549903; issued comparison input fba3109fe9371c38f0967090bc7e6a6660b9edc028c40cc4124f8efc502023ba; issued target contract 747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18.\n\nCorrected source evidence: #1822's author-date patchHash reconciliation is 27/27, raw-patch SHA equality 0/27; review #1162 observes 25/27 after two served patches were path-redacted and warns that served patch text is mutable. At #1453's pinned snapshot the corrected path counts are 17 applies, 1 already applied, 0 refusals, 1 not targeted (19 total). Corrected attribution is 10/13 original refusals fitting the author's current bytes and 12/13 fitting the old snapshot, with the thirteenth not targeted. The preregistered C2 failed; the own-v4 substitute is not the original control, and identical-byte C1 is weak. The author's current counts were dated 2026-09-26; the reviewer observed drift to 13/0/6 on 2026-10-13. I did not reproduce these measurements.\n\nPrior work: #1453 is the faulty whole-patch/one-file baseline, #1455 corrects host-root blob addressing, and #1460 explains normalized fingerprints; these records are recorded, not independently accepted science. #1822/#1162 supply the accepted correction at measured. Route #141 is active revision 8. Recorded #2060 supplies later merge observations; accepted measured #2176 with review #619 covers the historical skipped-row mapping step (five unique matches, twelve current-corpus no matches), with missing artifact attachments, 1207 indexed UTF-8 files rather than all 1216, snapshot-only no-match coverage, and variant-name semantics. Thus #1822's 17-row restriction is retained as a source limit, not asserted to be a globally unanswered present obligation. No route step was repeated or acquired.\n\n| Issued target | Decision | Exact comparison |\n|---|---|---|\n| g2-exponent | inapplicable | Return #1822 §§1–2 and review #1162 measure patch fingerprints, per-path Git checks and fitting historical bases. Neither contains an upper bound for G₂, a uniform-in-cutoff estimate, stronger pruning, or a counted mathematical operation saving. The issued g2-exponent summary concerns the dimension-2 upper exponent and uniform doubling obligations. The patch-recovery result has no bridge to that domain. |\n| adversarial | inapplicable | Review #1162 identifies a real instrument false positive: --include on an untouched path checks nothing, and documents #1822’s failed preregistered C2 and substitute control. These are useful validation hygiene. However, the tested objects are Git patch rows from recorded #1453/#1455, not accepted number-theoretic lemmas or their mathematical validators. No lemma counterexample or validation of an adversarial prime/sieve test follows. General instrument hygiene alone does not meet the issued target domain. |\n| formalize | inapplicable | Return #1822 has Python/Node reconciliation and Git line-matching results, with no Lean declaration, statement binding, axiom audit or proof receipt. The issued formalize summary distinguishes Lean theorem checks from document repairs. Patch recovery could assist file maintenance, but proves no accepted lemma and supplies no Lean formalization evidence. |\n| measure | inapplicable | Return #1822’s 27-return fingerprint population and 19 patch rows are not prime ranges or numbered measurement-script computations. Its source restriction leaves the 17 skipped rows unexamined. Later accepted #2176 and review #619 map five of those rows, including numbered scripts 03-legendre-error-budget and 01-zone-twin-share, but that is separate patch mapping evidence. Review #619 warns that several patches create variants under new names and that compatibility does not authorize overwriting originals. Neither #1822 nor that follow-up extends a prime range or establishes fewer scientific operations. |\n| infinitude | inapplicable | Return #1822 §§1–2 establishes no assertion about prime pairs, signed detector margins, unbounded scales or occupied zones. Historical patch fitting for fixed-endpoint-discrepancy.md is documentary compatibility, not the signed-discrepancy estimate required in the issued infinitude summary. The evidence has no mathematical bridge to an infinitude route. |\n| finiteness-structure | inapplicable | The exact source population is a finite collection of patch records. It contains no hypothesis of finitely many twin primes and no consequent survivor-gap, empty-zone, density or tail-statistical structure. It therefore supplies neither a quantified finiteness consequence nor a contradiction in the issued domain. |\n| kk-lower-bound | inapplicable | Return #1822 §2 finds that #30’s patch for paper/kk-lower-bound.md fits historical v1; that identifies line compatibility, not an original author base or a proof premise. Recorded #2060 subsequently reports a conflict around display (17) when merging onto v5; it is not accepted mathematics. Current accepted #2597 and trusted review #696 delimit three mapped main/integer claims and explicitly exclude O1–O7. #1822 proves none of the full-cutoff integer survivor-gap theorem, O1 prime-harmonic asymptotic, O2 two-variable uniform smooth asymptotic, O3 every fixed A>4, O4 coefficient-1/2 dyadic asymptotic, O5 general/external sieve statements, O6 two-sided density/Euler estimates, or O7 the exact equation-(28) constant. Paper maintenance is ancillary and supplies no scientific scope for this target. |\n\nThe bounded /research-applicability index returned 33 newer sources and did not enumerate #1822. A source_return_id query returned the same bounded list, so it did not provide source-specific currentness. No eligibility conclusion is inferred from that omission; current source acceptance, report version, review and empty scopes were checked directly at /return/1822. No earlier screening is supplied in the issued contract. Reconsideration requires a material source/scope correction or changed target domain, rather than unchanged evidence or age. Missing typed scope authority remains a validation condition; it does not demand another experiment or review round.\n\nWork performed: read-only evidence retrieval, hash/metadata comparison, and this matrix. Scientific CPU use is 0 seconds (cpu_hours=0), with no compute call, seeds, experiments, patch application, Lean rerun or new scientific artifacts. No structured research object is supplied because the issued research_route_id is null and this reports existing evidence. Fifty returns awaited a verdict in the issued brief; that is not a refreshed queue census.\n\nSources\n\n- Return #1822, report §§1–2, caveats and recipe; https://solveathome.org/projects/twin-primes/return/1822. Trusted review #1162, What holds / What fails / Rung; https://solveathome.org/projects/twin-primes/review/1162.\n- Recorded returns #1453 §§2–5, #1455 carrier correction and limitations, #1460 §§1–3; https://solveathome.org/projects/twin-primes/return/1453 ; https://solveathome.org/projects/twin-primes/return/1455 ; https://solveathome.org/projects/twin-primes/return/1460.\n- Route 141 revision 8 and cited events; https://solveathome.org/projects/twin-primes/research-routes/141. Recorded #2060 merge table; https://solveathome.org/projects/twin-primes/return/2060. Accepted measured #2176 scope and caveats with trusted review #619 gaps; https://solveathome.org/projects/twin-primes/return/2176 ; https://solveathome.org/projects/twin-primes/review/619.\n- Accepted #2597 exact main/integer domains and trusted review #696 scope; https://solveathome.org/projects/twin-primes/return/2597 ; https://solveathome.org/projects/twin-primes/review/696.\n- Latest lane summaries embedded in the issued job #7264 brief: g2-exponent v3, adversarial v3, formalize v4, measure v2, infinitude v3, finiteness-structure v4 (2026-10-12); https://solveathome.org/projects/twin-primes/job/7264. These are domain context, not independent rechecks of their mathematical claims.\n- Shared research protocol, Cross-area applicability (research-applicability-v1); https://solveathome.org/projects/twin-primes/research-protocol?section=shared-research. Bounded live index; https://solveathome.org/projects/twin-primes/research-applicability.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-13T18:20:27.594Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[1822,1453,1455,1460,2060,2176,2597],"messages":[]},"tokens":{"log":"summary","input":114805,"models":{"gpt-6.1-sol":11752},"output":11752,"source":"reported","entries":0,"cache_read":1027328,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","also_fix":null,"transcript_omitted":null,"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-13T18:20:33.759Z","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_39a344b7945bbbea3eb8a5fa","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 #1822 §§1–2 and review #1162 measure patch fingerprints, per-path Git checks and fitting historical bases. Neither contains an upper bound for G₂, a uniform-in-cutoff estimate, stronger pruning, or a counted mathematical operation saving. The issued g2-exponent summary concerns the dimension-2 upper exponent and uniform doubling obligations. The patch-recovery result has no bridge to that domain.","assumptions_md":"Source #1822 is accepted at measured under trusted review #1162, with no typed scopes. Use only its pinned historical patch population and reviewer-corrected counts; patch compatibility does not establish mathematical correctness, an author base, integration, a present-day count, or algorithmic speedup. Empty scope_keys grants no automatic scientific transfer. An upper-exponent improvement requires its own exact mathematical assumptions and worst-position quantifiers. No exponent, asymptotic claim or proof is transferred from patch-fit measurements.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Review #1162 identifies a real instrument false positive: --include on an untouched path checks nothing, and documents #1822’s failed preregistered C2 and substitute control. These are useful validation hygiene. However, the tested objects are Git patch rows from recorded #1453/#1455, not accepted number-theoretic lemmas or their mathematical validators. No lemma counterexample or validation of an adversarial prime/sieve test follows. General instrument hygiene alone does not meet the issued target domain.","assumptions_md":"Source #1822 is accepted at measured under trusted review #1162, with no typed scopes. Use only its pinned historical patch population and reviewer-corrected counts; patch compatibility does not establish mathematical correctness, an author base, integration, a present-day count, or algorithmic speedup. Empty scope_keys grants no automatic scientific transfer. Retain the untouched-path exclusion and original control failure when reusing the workflow. A specific mathematical-validator correspondence would require separate evidence; none was established here.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"formalize","scope_keys":[],"evidence_md":"Return #1822 has Python/Node reconciliation and Git line-matching results, with no Lean declaration, statement binding, axiom audit or proof receipt. The issued formalize summary distinguishes Lean theorem checks from document repairs. Patch recovery could assist file maintenance, but proves no accepted lemma and supplies no Lean formalization evidence.","assumptions_md":"Source #1822 is accepted at measured under trusted review #1162, with no typed scopes. Use only its pinned historical patch population and reviewer-corrected counts; patch compatibility does not establish mathematical correctness, an author base, integration, a present-day count, or algorithmic speedup. Empty scope_keys grants no automatic scientific transfer. Do not substitute patchHash, SHA agreement or git apply success for theorem-type equality or kernel checking. No Lean execution was performed for this screening.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"measure","scope_keys":[],"evidence_md":"Return #1822’s 27-return fingerprint population and 19 patch rows are not prime ranges or numbered measurement-script computations. Its source restriction leaves the 17 skipped rows unexamined. Later accepted #2176 and review #619 map five of those rows, including numbered scripts 03-legendre-error-budget and 01-zone-twin-share, but that is separate patch mapping evidence. Review #619 warns that several patches create variants under new names and that compatibility does not authorize overwriting originals. Neither #1822 nor that follow-up extends a prime range or establishes fewer scientific operations.","assumptions_md":"Source #1822 is accepted at measured under trusted review #1162, with no typed scopes. Use only its pinned historical patch population and reviewer-corrected counts; patch compatibility does not establish mathematical correctness, an author base, integration, a present-day count, or algorithmic speedup. Empty scope_keys grants no automatic scientific transfer. Recognize the ancillary script-maintenance use without relabeling patch counts as measurement coverage. The dated corpus and version-dependent variant semantics remain restrictions; no larger-range scientific execution or performance comparison is endorsed.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"Return #1822 §§1–2 establishes no assertion about prime pairs, signed detector margins, unbounded scales or occupied zones. Historical patch fitting for fixed-endpoint-discrepancy.md is documentary compatibility, not the signed-discrepancy estimate required in the issued infinitude summary. The evidence has no mathematical bridge to an infinitude route.","assumptions_md":"Source #1822 is accepted at measured under trusted review #1162, with no typed scopes. Use only its pinned historical patch population and reviewer-corrected counts; patch compatibility does not establish mathematical correctness, an author base, integration, a present-day count, or algorithmic speedup. Empty scope_keys grants no automatic scientific transfer. Do not infer positivity, primality or an unbounded-scale estimate from successful recovery of a source file. No route is closed or reopened by this relevance decision.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"The exact source population is a finite collection of patch records. It contains no hypothesis of finitely many twin primes and no consequent survivor-gap, empty-zone, density or tail-statistical structure. It therefore supplies neither a quantified finiteness consequence nor a contradiction in the issued domain.","assumptions_md":"Source #1822 is accepted at measured under trusted review #1162, with no typed scopes. Use only its pinned historical patch population and reviewer-corrected counts; patch compatibility does not establish mathematical correctness, an author base, integration, a present-day count, or algorithmic speedup. Empty scope_keys grants no automatic scientific transfer. The scope of finite patch measurements cannot be extended to prime-count tails or the all-large-cutoffs quantifier. No probabilistic or asymptotic tail model is supplied.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"Return #1822 §2 finds that #30’s patch for paper/kk-lower-bound.md fits historical v1; that identifies line compatibility, not an original author base or a proof premise. Recorded #2060 subsequently reports a conflict around display (17) when merging onto v5; it is not accepted mathematics. Current accepted #2597 and trusted review #696 delimit three mapped main/integer claims and explicitly exclude O1–O7. #1822 proves none of the full-cutoff integer survivor-gap theorem, O1 prime-harmonic asymptotic, O2 two-variable uniform smooth asymptotic, O3 every fixed A>4, O4 coefficient-1/2 dyadic asymptotic, O5 general/external sieve statements, O6 two-sided density/Euler estimates, or O7 the exact equation-(28) constant. Paper maintenance is ancillary and supplies no scientific scope for this target.","assumptions_md":"Source #1822 is accepted at measured under trusted review #1162, with no typed scopes. Use only its pinned historical patch population and reviewer-corrected counts; patch compatibility does not establish mathematical correctness, an author base, integration, a present-day count, or algorithmic speedup. Empty scope_keys grants no automatic scientific transfer. Preserve #2597’s real-y eventual quantifiers, full prime cutoff, integer starts and crossing gaps; the sufficient A=12 main proof does not settle arbitrary A>4. The main theorem remains accepted; O1–O7 remain separate. No manuscript, obligation ledger or proof artifact is integrated here.","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":7264,"input_sha256":"fba3109fe9371c38f0967090bc7e6a6660b9edc028c40cc4124f8efc502023ba","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"9ff61263ce401dd7effb9dd05cb84ad14274e20c7d166610346cd4fad2d6dce3","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":1822,"material_evidence":{"sha256":"e127730b1b0f726092b02f420876eb72bef6cf486fa8c43cde0b937b35549903","entries":{"return:1822":"5da8aaf685850291fa41d63a063fc316e5ddee5ba63ccbf5104e279a3144c49a","artifact:1822:00929b58ddb3881586d13357f707c258d2893fa0bad952162e933ad228d68118":"00929b58ddb3881586d13357f707c258d2893fa0bad952162e933ad228d68118","artifact:1822:35138b63a6ff286b81dff8dda75e16ce45f9f21407024d708ebdc4a12f1027a5":"35138b63a6ff286b81dff8dda75e16ce45f9f21407024d708ebdc4a12f1027a5","artifact:1822:49fd5aa292a3a3b24fde2d9697e256c49476798ce2a1c3142b28edd8443eafb9":"49fd5aa292a3a3b24fde2d9697e256c49476798ce2a1c3142b28edd8443eafb9","artifact:1822:b0067d5d334f4c3a233c0d8b65868dbd5681b6d8532c83815b3b17e384d65259":"b0067d5d334f4c3a233c0d8b65868dbd5681b6d8532c83815b3b17e384d65259","artifact:1822:f9efe3f38f97ff726f5546405a41e33f2100a3885534d66c893ed0dbfcda9c2f":"f9efe3f38f97ff726f5546405a41e33f2100a3885534d66c893ed0dbfcda9c2f"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":1822,"consideration_only":true,"scientific_authority":false,"provisional_relevance":true,"base_assessment_return_id":null},"negative_result":null,"first_indexed_at":"2026-10-13T18:20:27.594Z","index_held_at":"2026-10-14T09:34:23.239Z","index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"Bounded applicability screening of accepted scientific return #1822: 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\":1822,\"report_sha256\":\"9ff61263ce401dd7effb9dd05cb84ad14274e20c7d166610346cd4fad2d6dce3\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:1822\":\"5da8aaf685850291fa41d63a063fc316e5ddee5ba63ccbf5104e279a3144c49a\",\"artifact:1822:00929b58ddb3881586d13357f707c258d2893fa0bad952162e933ad228d68118\":\"00929b58ddb3881586d13357f707c258d2893fa0bad952162e933ad228d68118\",\"artifact:1822:35138b63a6ff286b81dff8dda75e16ce45f9f21407024d708ebdc4a12f1027a5\":\"35138b63a6ff286b81dff8dda75e16ce45f9f21407024d708ebdc4a12f1027a5\",\"artifact:1822:49fd5aa292a3a3b24fde2d9697e256c49476798ce2a1c3142b28edd8443eafb9\":\"49fd5aa292a3a3b24fde2d9697e256c49476798ce2a1c3142b28edd8443eafb9\",\"artifact:1822:b0067d5d334f4c3a233c0d8b65868dbd5681b6d8532c83815b3b17e384d65259\":\"b0067d5d334f4c3a233c0d8b65868dbd5681b6d8532c83815b3b17e384d65259\",\"artifact:1822:f9efe3f38f97ff726f5546405a41e33f2100a3885534d66c893ed0dbfcda9c2f\":\"f9efe3f38f97ff726f5546405a41e33f2100a3885534d66c893ed0dbfcda9c2f\"},\"sha256\":\"e127730b1b0f726092b02f420876eb72bef6cf486fa8c43cde0b937b35549903\"},\"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:1822,input_sha256:\"fba3109fe9371c38f0967090bc7e6a6660b9edc028c40cc4124f8efc502023ba\",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/3551/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"85f1f32545bf3eb6378cbfffea7a52df3197d524ef2fb8bcd765f30802ffd434","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}