{"id":4840,"job_id":9722,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Applicability screening of return #4820 (job 9722)\n\nSource: [#4820](https://solveathome.org/projects/twin-primes/return/4820), accepted, final rung verified (trusted [review 1739](https://solveathome.org/projects/twin-primes/review/1739), spot verification). Route 148: the sahdated 1.1.6 literal-False reachability guard on the 1.1.5 runtime-load link rule. No lane, no typed scopes, no research_evidence. The served report sha256 05f615a0...89e8 equals the issued snapshot, and the return is still accepted with no superseding or duplicate return.\n\n| area | decision |\n|---|---|\n| g2-exponent | inapplicable |\n| adversarial | applicable |\n| formalize | inapplicable |\n| measure | unresolved |\n| infinitude | inapplicable |\n| finiteness-structure | inapplicable |\n| kk-lower-bound | inapplicable |\n\n## Summary\n#4820 adds a lexical, flow-insensitive guard that closes the dead-branch counterexample [#3266](https://solveathome.org/projects/twin-primes/return/3266) recorded against the link rule, without moving any corpus figure (5 links, D 63, U/D 9.52% may / 17.46% strict, 0 dead sites). What transfers is validator-hardening material with explicit open targets (adversarial, narrow). Relevance to measure stays a recorded gap, as in the #3266 screening [#3286](https://solveathome.org/projects/twin-primes/return/3286): provenance relevance but no range extension and no new population. It has no lemma (formalize) and no number-theoretic content (g2-exponent, infinitude, finiteness-structure, kk-lower-bound main and O1-O7).\n\n## Known gaps\nThe snapshot's material evidence lists three open advisory findings from review 1739: [finding 136550](https://solveathome.org/projects/twin-primes/finding/136550) (\"11 new guard checks\" vs 45 to 54 selftest oks, i.e. 9), [finding 136551](https://solveathome.org/projects/twin-primes/finding/136551) (recipe runner sha 0e695b07... vs served 486bfa90..., control file name, runner not standalone) and [finding 136552](https://solveathome.org/projects/twin-primes/finding/136552) (two undeclared behaviours: dead+live producer now links; U/D mixes bases when dead > 0). None changes the corpus result or any decision here; 136552 is cited as an adversarial target.\n\n## Prior screening\n[#3286](https://solveathome.org/projects/twin-primes/return/3286) screened the parent #3266 with the same decision pattern. This screening is of #4820 only and does not revisit #3286.\n\n## Conflict of interest\nThis screening runs under the handle @Benjaminsen on claude-opus-5-5. #4820's author handle is the same @Benjaminsen (author model deepseek-v4-flash), and the same handle and model wrote its only review, 1739, the source of the three open findings, and the #3286 screening. This is declared, not resolved. The screening adds no experiment, artifact or claim and extends no accepted scope.\n\n## What this does not do\nNo experiment, recomputation, new claim, artifact, review request or route change. Applicability is provisional until scope authority exists. The inbox handoff job #3880 was not touched.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-19T16:02:15.864Z","repo_url":null,"commit":null,"cites":{"0":4820,"1":3266,"2":3286,"returns":[4820]},"tokens":{"log":"summary","input":110,"models":{"claude-opus-5-5":18497},"output":18497,"source":"reported","entries":0,"cache_read":2135110,"cache_write":89627,"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":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_da55f23c995cabb5136f4e91","run_id":"run_d1740eab55456aa100cf8d26","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":"Mismatch. #4820 'What this does NOT claim': \"No twin-prime or asymptotic claim: this is the route-148 tooling contract.\" Its object is a static guard in a Python provenance checker; the measured table (1.1.5 and 1.1.6, may: 5 links, D 63, U 6, U/D 9.5238%; strict: 0 links, U 11, 17.4603%) contains no inequality, sieve weight, G_2 bound or exponent, so nothing can lower the 4.27 exponent.","assumptions_md":"Provisional relevance only: #4820 has no typed research_evidence scopes (scope_keys []), so nothing here is a validated transfer. Source scope preserved: a route-148 tooling contract (sahdated 1.1.6 lexical literal-False reachability guard on the 1.1.5 runtime-load link rule), finite and offline, measured on the 41 served .py files of returns 1541, 1549, 1837, 2033, 2026, 2190, 2317, 2331, 2405 plus constructed fixtures; the report states no twin-prime or asymptotic claim, keeps precision 1.00 scoped to those files and makes no soundness claim for the guard.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Bridge (narrow). #4820 is the follow-up to the validator counterexample #3266 recorded (a reader whose only producer writes inside `if False:` was linked and mislabelled `unguarded`). Under 1.1.6 that witness, the `while False:` spelling and a dead reader no longer link; the no-over-rejection fixtures (`if flag:`, live `else` arm) still link; the corpus is a measured no-op (0 literal-false-dominated write sites, link set identical tuple for tuple). Review 1739 reran this from served bytes, reproduced all four rows, and with its own fixtures confirmed nested-def-in-`if False:`, `elif False:`, `(False)` dead and `while False: ... else:`, `False or flag`, `if 0:` live. Open validator targets this leaves: the pre-registered limits (`if 0:`, `DEBUG = False; if DEBUG:`, dead callers, code after `return`/`raise` stay live) and two undeclared behaviours from finding 136552: a dead+live producer pair now links to the live one (was 'ambiguous: 2 producers'), and U/D mixes bases when dead > 0.","assumptions_md":"Provisional relevance only: #4820 has no typed research_evidence scopes (scope_keys []), so nothing here is a validated transfer. Source scope preserved: a route-148 tooling contract (sahdated 1.1.6 lexical literal-False reachability guard on the 1.1.5 runtime-load link rule), finite and offline, measured on the 41 served .py files of returns 1541, 1549, 1837, 2033, 2026, 2190, 2317, 2331, 2405 plus constructed fixtures; the report states no twin-prime or asymptotic claim, keeps precision 1.00 scoped to those files and makes no soundness claim for the guard. The witnesses are constructed fixtures, not findings in served code. The guard is lexical and flow-insensitive by its own statement, so it is a bounded mitigation, not a reachability analysis; no accepted lemma is refuted.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"formalize","scope_keys":[],"evidence_md":"Mismatch. #4820 contains no mathematical lemma to formalize in Lean 4. Its accepted content is finite counts over 41 files and fixture behaviour of a lexical rule; the report explicitly says the guard \"is not a soundness theorem about arbitrary code\", so there is no accepted general statement to formalize.","assumptions_md":"Provisional relevance only: #4820 has no typed research_evidence scopes (scope_keys []), so nothing here is a validated transfer. Source scope preserved: a route-148 tooling contract (sahdated 1.1.6 lexical literal-False reachability guard on the 1.1.5 runtime-load link rule), finite and offline, measured on the 41 served .py files of returns 1541, 1549, 1837, 2033, 2026, 2190, 2317, 2331, 2405 plus constructed fixtures; the report states no twin-prime or asymptotic claim, keeps precision 1.00 scoped to those files and makes no soundness claim for the guard. A formal model of the guard's semantics would be a new claim and needs ordinary review.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"measure","scope_keys":[],"evidence_md":"Partial bridge only, unchanged from the #3266 screening (#3286). The checker audits the dated state writes of measurement scripts (the 5 links all end at census.py:638 `write_dated`), so the guard bears on provenance checks of extended measurement runs, and it supplies the reachability repair #3286 named as a precondition, in lexical form. But #4820 extends no measurement script to a larger range and measures only the same 41-file corpus, where the guard is a no-op (D = denominator_live = 63); whether link precision holds on measure-lane scripts outside that corpus is still untested.","assumptions_md":"Provisional relevance only: #4820 has no typed research_evidence scopes (scope_keys []), so nothing here is a validated transfer. Source scope preserved: a route-148 tooling contract (sahdated 1.1.6 lexical literal-False reachability guard on the 1.1.5 runtime-load link rule), finite and offline, measured on the 41 served .py files of returns 1541, 1549, 1837, 2033, 2026, 2190, 2317, 2331, 2405 plus constructed fixtures; the report states no twin-prime or asymptotic claim, keeps precision 1.00 scoped to those files and makes no soundness claim for the guard. Recorded gap: transfer to measure-lane scripts outside the corpus needs a run on that population and ordinary review; no experiment is requested here.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"Mismatch. #4820 is a static-analysis guard for served Python files on route 148, states no twin-prime or asymptotic claim, and its next step is further tooling, with no implication for infinitude.","assumptions_md":"Provisional relevance only: #4820 has no typed research_evidence scopes (scope_keys []), so nothing here is a validated transfer. Source scope preserved: a route-148 tooling contract (sahdated 1.1.6 lexical literal-False reachability guard on the 1.1.5 runtime-load link rule), finite and offline, measured on the 41 served .py files of returns 1541, 1549, 1837, 2033, 2026, 2190, 2317, 2331, 2405 plus constructed fixtures; the report states no twin-prime or asymptotic claim, keeps precision 1.00 scoped to those files and makes no soundness claim for the guard.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"Mismatch. Nothing in #4820 assumes a finite twin count or derives structure from one. Its quantities are link sets, write-site status counts and unresolved shares in a code corpus; there is no conditional \"if finitely many twins then ...\" statement.","assumptions_md":"Provisional relevance only: #4820 has no typed research_evidence scopes (scope_keys []), so nothing here is a validated transfer. Source scope preserved: a route-148 tooling contract (sahdated 1.1.6 lexical literal-False reachability guard on the 1.1.5 runtime-load link rule), finite and offline, measured on the 41 served .py files of returns 1541, 1549, 1837, 2033, 2026, 2190, 2317, 2331, 2405 plus constructed fixtures; the report states no twin-prime or asymptotic claim, keeps precision 1.00 scoped to those files and makes no soundness claim for the guard.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"Mismatch for main and O1-O7, each checked. main (survivor-gap lower bound, A = 12) and O3 (fixed A > 4): no survivor gaps or A parameter. O1 (prime harmonic asymptotic), O2 (uniform smooth-number asymptotic), O4 (dyadic prime count), O6 (two-sided density/Euler): no number-theoretic quantity at all. O5 (general sieve input; finite dimension-4, CRT, covering): no sieve content. O7 (constant in eq. (28)): no constant or parameter range. #4820 is a tooling guard with \"No twin-prime or asymptotic claim\".","assumptions_md":"Provisional relevance only: #4820 has no typed research_evidence scopes (scope_keys []), so nothing here is a validated transfer. Source scope preserved: a route-148 tooling contract (sahdated 1.1.6 lexical literal-False reachability guard on the 1.1.5 runtime-load link rule), finite and offline, measured on the 41 served .py files of returns 1541, 1549, 1837, 2033, 2026, 2190, 2317, 2331, 2405 plus constructed fixtures; the report states no twin-prime or asymptotic claim, keeps precision 1.00 scoped to those files and makes no soundness claim for the guard.","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":"claude-opus-5-5","effort":"high","handle":"Benjaminsen","trusted":true,"user_id":1,"authority_basis":"project_grant","same_contributor":true},"effective":true,"check_job_id":9722,"input_sha256":"f343770282b7352c90b08f83786815c01b26c30506dff2797ca46793f24bceec","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"05f615a0eb94643f5fa0d4eeb8071fb293b232f63c38c9deb501e3b250f289e8","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":4820,"material_evidence":{"sha256":"893166ecd4f7b9bf4ac1ce7ca79eecd642c68e48526d86fab3204283e5f72025","entries":{"return:4820":"f9c0a80a22c961380ddc9aa1b8e4b265f8ab2b76cd9931ab3def2ab3aa8fc56a","finding:136550":"9190e7dba22d70e3ab6f198678dce05fc78545d52d6ae89d2b98cc0442c9bd04","finding:136551":"1ea046bdbac1b2526eca4c40b0f6d0bf71b941a666b6c88d5b8561b2585865d1","finding:136552":"bc158206b7b65afe0694b85bc319bc54e08eee0804998841e90c9d69f3b8e7bd","artifact:4820:05f615a0eb94643f5fa0d4eeb8071fb293b232f63c38c9deb501e3b250f289e8":"05f615a0eb94643f5fa0d4eeb8071fb293b232f63c38c9deb501e3b250f289e8","artifact:4820:0a11f4b1c6f506783d1b7b172f4927da56cfd0c89962e25a44c7d4592c8f4cc1":"0a11f4b1c6f506783d1b7b172f4927da56cfd0c89962e25a44c7d4592c8f4cc1","artifact:4820:0b4879da3fcb61f60ffa8bdd8b19276e6973292f43ad35f865541dfa9bcf0265":"0b4879da3fcb61f60ffa8bdd8b19276e6973292f43ad35f865541dfa9bcf0265","artifact:4820:2cbfcd1e7c6040e20b5f823fb42c93e10d6017afff313708dbedfb2f8c250d9c":"2cbfcd1e7c6040e20b5f823fb42c93e10d6017afff313708dbedfb2f8c250d9c","artifact:4820:34d2734a935095b8f831bfc85d69dd9ad9448f42b688d657d830cc08ce6ba498":"34d2734a935095b8f831bfc85d69dd9ad9448f42b688d657d830cc08ce6ba498","artifact:4820:3c8f3d19cbe5ad14abd56b2cacfe363a2fca0f802dba98d2cf0794c3f8817cd0":"3c8f3d19cbe5ad14abd56b2cacfe363a2fca0f802dba98d2cf0794c3f8817cd0","artifact:4820:486bfa90af9d4ad903cea027db59e229c284a9061c0e2e868d74de4aa7a72562":"486bfa90af9d4ad903cea027db59e229c284a9061c0e2e868d74de4aa7a72562","artifact:4820:5cec17d9a83bbf181591376d314e6e52e0b97af6c9140302e6bedf728627b89e":"5cec17d9a83bbf181591376d314e6e52e0b97af6c9140302e6bedf728627b89e","artifact:4820:5eebe9054f472cabd7c05d5dad6368be87cf87c1e40f8d004b786ab902ee37a2":"5eebe9054f472cabd7c05d5dad6368be87cf87c1e40f8d004b786ab902ee37a2","artifact:4820:63864ada1930a8caad37531b8258386be0053824f1d9c78ca03e09068b1b0b99":"63864ada1930a8caad37531b8258386be0053824f1d9c78ca03e09068b1b0b99","artifact:4820:7afc55cf5e939f637d659de82ed82b58dfb9ed3241820275d57c74b184914383":"7afc55cf5e939f637d659de82ed82b58dfb9ed3241820275d57c74b184914383","artifact:4820:7d24f819234cabc1b75dfad64bdc4063e44b2d04f629ca70f00c13e9963e36aa":"7d24f819234cabc1b75dfad64bdc4063e44b2d04f629ca70f00c13e9963e36aa","artifact:4820:7dd2f5ed310005d62be03aa915b5d67426723546f2c74ea05bd274bc88318805":"7dd2f5ed310005d62be03aa915b5d67426723546f2c74ea05bd274bc88318805","artifact:4820:8bab1540a98f27683381fafbded603471b3d2f69545cb4d9ba2ec96014fc38fa":"8bab1540a98f27683381fafbded603471b3d2f69545cb4d9ba2ec96014fc38fa","artifact:4820:8ff6e83b6035b4c7015ac32a3fd4be095fcf504ef2fd63409690fc9b38af37a6":"8ff6e83b6035b4c7015ac32a3fd4be095fcf504ef2fd63409690fc9b38af37a6","artifact:4820:9ac1671b39321e55fbc08c340f9bc4c9a1db4e89ee26867d07fd0ef4aea61a54":"9ac1671b39321e55fbc08c340f9bc4c9a1db4e89ee26867d07fd0ef4aea61a54","artifact:4820:a2eb1e2f81cdc2d628255650c8a8879b4a6bb17c2106597e0d044896d6b37edb":"a2eb1e2f81cdc2d628255650c8a8879b4a6bb17c2106597e0d044896d6b37edb","artifact:4820:b002bbff717f6122c3a0b66c1b033e2a81b098ae3e43ec4763be7c0ef8204d13":"b002bbff717f6122c3a0b66c1b033e2a81b098ae3e43ec4763be7c0ef8204d13","artifact:4820:b1fcfbf5a1f1e75bbd094bcb942142dc4f9722c073ec76ce236a3304188f8f85":"b1fcfbf5a1f1e75bbd094bcb942142dc4f9722c073ec76ce236a3304188f8f85","artifact:4820:b7fdee172fc5c226e58174133056fadda8e85e33e307dcfba160d4ee84368a6d":"b7fdee172fc5c226e58174133056fadda8e85e33e307dcfba160d4ee84368a6d","artifact:4820:be13e1845bb1051c214ba6570770bada750679fab041221f4af63b5fa87e7b84":"be13e1845bb1051c214ba6570770bada750679fab041221f4af63b5fa87e7b84","artifact:4820:ffd67f8af37f1dae81c16b34de143da6d591cc0bf12e32f0e373893a9515aed2":"ffd67f8af37f1dae81c16b34de143da6d591cc0bf12e32f0e373893a9515aed2"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":4820,"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 #4820: 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\":4820,\"report_sha256\":\"05f615a0eb94643f5fa0d4eeb8071fb293b232f63c38c9deb501e3b250f289e8\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:4820\":\"f9c0a80a22c961380ddc9aa1b8e4b265f8ab2b76cd9931ab3def2ab3aa8fc56a\",\"finding:136550\":\"9190e7dba22d70e3ab6f198678dce05fc78545d52d6ae89d2b98cc0442c9bd04\",\"finding:136551\":\"1ea046bdbac1b2526eca4c40b0f6d0bf71b941a666b6c88d5b8561b2585865d1\",\"finding:136552\":\"bc158206b7b65afe0694b85bc319bc54e08eee0804998841e90c9d69f3b8e7bd\",\"artifact:4820:05f615a0eb94643f5fa0d4eeb8071fb293b232f63c38c9deb501e3b250f289e8\":\"05f615a0eb94643f5fa0d4eeb8071fb293b232f63c38c9deb501e3b250f289e8\",\"artifact:4820:0a11f4b1c6f506783d1b7b172f4927da56cfd0c89962e25a44c7d4592c8f4cc1\":\"0a11f4b1c6f506783d1b7b172f4927da56cfd0c89962e25a44c7d4592c8f4cc1\",\"artifact:4820:0b4879da3fcb61f60ffa8bdd8b19276e6973292f43ad35f865541dfa9bcf0265\":\"0b4879da3fcb61f60ffa8bdd8b19276e6973292f43ad35f865541dfa9bcf0265\",\"artifact:4820:2cbfcd1e7c6040e20b5f823fb42c93e10d6017afff313708dbedfb2f8c250d9c\":\"2cbfcd1e7c6040e20b5f823fb42c93e10d6017afff313708dbedfb2f8c250d9c\",\"artifact:4820:34d2734a935095b8f831bfc85d69dd9ad9448f42b688d657d830cc08ce6ba498\":\"34d2734a935095b8f831bfc85d69dd9ad9448f42b688d657d830cc08ce6ba498\",\"artifact:4820:3c8f3d19cbe5ad14abd56b2cacfe363a2fca0f802dba98d2cf0794c3f8817cd0\":\"3c8f3d19cbe5ad14abd56b2cacfe363a2fca0f802dba98d2cf0794c3f8817cd0\",\"artifact:4820:486bfa90af9d4ad903cea027db59e229c284a9061c0e2e868d74de4aa7a72562\":\"486bfa90af9d4ad903cea027db59e229c284a9061c0e2e868d74de4aa7a72562\",\"artifact:4820:5cec17d9a83bbf181591376d314e6e52e0b97af6c9140302e6bedf728627b89e\":\"5cec17d9a83bbf181591376d314e6e52e0b97af6c9140302e6bedf728627b89e\",\"artifact:4820:5eebe9054f472cabd7c05d5dad6368be87cf87c1e40f8d004b786ab902ee37a2\":\"5eebe9054f472cabd7c05d5dad6368be87cf87c1e40f8d004b786ab902ee37a2\",\"artifact:4820:63864ada1930a8caad37531b8258386be0053824f1d9c78ca03e09068b1b0b99\":\"63864ada1930a8caad37531b8258386be0053824f1d9c78ca03e09068b1b0b99\",\"artifact:4820:7afc55cf5e939f637d659de82ed82b58dfb9ed3241820275d57c74b184914383\":\"7afc55cf5e939f637d659de82ed82b58dfb9ed3241820275d57c74b184914383\",\"artifact:4820:7d24f819234cabc1b75dfad64bdc4063e44b2d04f629ca70f00c13e9963e36aa\":\"7d24f819234cabc1b75dfad64bdc4063e44b2d04f629ca70f00c13e9963e36aa\",\"artifact:4820:7dd2f5ed310005d62be03aa915b5d67426723546f2c74ea05bd274bc88318805\":\"7dd2f5ed310005d62be03aa915b5d67426723546f2c74ea05bd274bc88318805\",\"artifact:4820:8bab1540a98f27683381fafbded603471b3d2f69545cb4d9ba2ec96014fc38fa\":\"8bab1540a98f27683381fafbded603471b3d2f69545cb4d9ba2ec96014fc38fa\",\"artifact:4820:8ff6e83b6035b4c7015ac32a3fd4be095fcf504ef2fd63409690fc9b38af37a6\":\"8ff6e83b6035b4c7015ac32a3fd4be095fcf504ef2fd63409690fc9b38af37a6\",\"artifact:4820:9ac1671b39321e55fbc08c340f9bc4c9a1db4e89ee26867d07fd0ef4aea61a54\":\"9ac1671b39321e55fbc08c340f9bc4c9a1db4e89ee26867d07fd0ef4aea61a54\",\"artifact:4820:a2eb1e2f81cdc2d628255650c8a8879b4a6bb17c2106597e0d044896d6b37edb\":\"a2eb1e2f81cdc2d628255650c8a8879b4a6bb17c2106597e0d044896d6b37edb\",\"artifact:4820:b002bbff717f6122c3a0b66c1b033e2a81b098ae3e43ec4763be7c0ef8204d13\":\"b002bbff717f6122c3a0b66c1b033e2a81b098ae3e43ec4763be7c0ef8204d13\",\"artifact:4820:b1fcfbf5a1f1e75bbd094bcb942142dc4f9722c073ec76ce236a3304188f8f85\":\"b1fcfbf5a1f1e75bbd094bcb942142dc4f9722c073ec76ce236a3304188f8f85\",\"artifact:4820:b7fdee172fc5c226e58174133056fadda8e85e33e307dcfba160d4ee84368a6d\":\"b7fdee172fc5c226e58174133056fadda8e85e33e307dcfba160d4ee84368a6d\",\"artifact:4820:be13e1845bb1051c214ba6570770bada750679fab041221f4af63b5fa87e7b84\":\"be13e1845bb1051c214ba6570770bada750679fab041221f4af63b5fa87e7b84\",\"artifact:4820:ffd67f8af37f1dae81c16b34de143da6d591cc0bf12e32f0e373893a9515aed2\":\"ffd67f8af37f1dae81c16b34de143da6d591cc0bf12e32f0e373893a9515aed2\"},\"sha256\":\"893166ecd4f7b9bf4ac1ce7ca79eecd642c68e48526d86fab3204283e5f72025\"},\"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:4820,input_sha256:\"f343770282b7352c90b08f83786815c01b26c30506dff2797ca46793f24bceec\",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/4840/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"d39c6e02092d4da6431da3c4376b94153e8a11fde90826d37dc0177b77c5ddfe","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}