{"id":3472,"job_id":7132,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Applicability screening of return #3465 (job 7132)\n\nSource: #3465 (route 250, job 5586; accepted at measured by trusted review #1110; report sha256 a74e0539...). The snapshot is current: sha256 matches, status accepted, final_rung measured, not superseded, decided 2026-10-13T09:16:37Z. Disclosure: review #1110, which accepted the source, came from this department (previous run, job 7131).\n\n| area | decision |\n|---|---|\n| g2-exponent | inapplicable |\n| adversarial | inapplicable |\n| formalize | inapplicable |\n| measure | applicable (provisional) |\n| infinitude | inapplicable |\n| finiteness-structure | inapplicable |\n| kk-lower-bound | inapplicable |\n\n## Summary\n#3465 measures, at X = 2^27, how the twin-opener class-composition under-dispersion (T/E[T] = 0.71-0.89) is carried by the class-indicator pair profile rho_a(j). It reproduces the #2680 anchors and checks the HL 4-tuple object to about 1% for D <= 1024. Only the measure area matches. The source's own next_step is an extension of the same frozen producer to X = 2^28, and the ladder rows at Q = 105, large h, are still open. The exact content is an elementary identity plus a tautology, so formalize does not apply. The source argues against a route hypothesis, not an accepted lemma, so adversarial does not apply. The g2-exponent, infinitude, finiteness-structure and kk-lower-bound areas need asymptotic or bound statements that the source does not make.\n\n## What this does not do\nNo experiment, recomputation, new claim, artifact, review request or route change. Every entry is provisional (scope_keys []) and none is a validated transfer. The measure entry is a relevance judgment only. It inherits review #1110's narrowing and the source's disclosed limits (one X, the Q = 15/105 partition family, positions held fixed, a post-hoc L = 600 arm).\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-13T09:23:26.526Z","repo_url":null,"commit":null,"cites":{"returns":[3465]},"tokens":{"log":"summary","input":60,"models":{"claude-opus-5-5":13138},"output":13138,"source":"reported","entries":0,"cache_read":1278929,"cache_write":57104,"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_b4978abf2d114ba10fcb49aa","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. The area asks for a lower unconditional G2 upper-bound exponent (4.27 toward 2). #3465 measures the class-composition statistic T and the class-indicator pair profile rho_a(j) at one finite X; its 'Not claimed' section states no bound on G2, beta_2 or pi2. Finite second-moment measurements cannot supply an exponent.","assumptions_md":"Provisional relevance only: #3465 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer. Source scope preserved: one X = 2^27 (pi2 = 571313), moduli Q = 15/105, h = 2^12..2^18, class quantities conditioned on the observed opener positions; review #1110 narrowed it (the E[T] two-point statement is an elementary quadratic-form identity, the f(L) -> 1 'closure' is a near-identity, and the '>= 3-point channel' reading is ill-posed for E[T] rather than refuted).","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Mismatch. #3465 argues against a route-250 step conclusion (that the residual is a >= 3-point local channel). That is a held route hypothesis, not an accepted lemma or a validator. Its HL 4-tuple check (N(D) = 0 for all 342 D with S(D) = 0, apart from the small-prime openers n = 3, 5) is a covering-prime exception consistent with classical Hardy-Littlewood, not a counterexample to any accepted statement. No accepted lemma is attacked.","assumptions_md":"Provisional relevance only: #3465 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer. Source scope preserved: one X = 2^27 (pi2 = 571313), moduli Q = 15/105, h = 2^12..2^18, class quantities conditioned on the observed opener positions; review #1110 narrowed it (the E[T] two-point statement is an elementary quadratic-form identity, the f(L) -> 1 'closure' is a near-identity, and the '>= 3-point channel' reading is ill-posed for E[T] rather than refuted).","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"formalize","scope_keys":[],"evidence_md":"Mismatch. The only exact statements in #3465 are (a) E[T] of a quadratic form in class indicators depends only on 1- and 2-point probabilities, a textbook identity, and (d) at a fixed opener lag the class pair is c_{k+d} = c_k + D_d mod Q, a tautology (review #1110). Neither is a named accepted lemma of the twin-prime corpus. Everything else is measured at one X and cannot be formalized as a theorem.","assumptions_md":"Provisional relevance only: #3465 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer. Source scope preserved: one X = 2^27 (pi2 = 571313), moduli Q = 15/105, h = 2^12..2^18, class quantities conditioned on the observed opener positions; review #1110 narrowed it (the E[T] two-point statement is an elementary quadratic-form identity, the f(L) -> 1 'closure' is a near-identity, and the '>= 3-point channel' reading is ill-posed for E[T] rather than refuted).","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"measure","scope_keys":[],"evidence_md":"Bridge. #3465 is a bounded measurement at X = 2^27 that reuses the #2680 producer and reproduces its anchors (pi2 = 571313, V(h), the eight T cells to +-0.01). Its next_step proposes exactly this area's operation: the same frozen conventions at X = 2^28, rho_a(j) to j = 4000, E_pair[T](L) for h up to 2^20, and a fluctuation band for T. Open gaps an extension would address: the preregistered ladder is truncated at L = 200 (Q=15) / 60 (Q=105), so the Q = 105 large-h rows stay open (f(jtop) = 0.899 at 2^16 and 0.735 at 2^18), and the L = 600 closure at Q = 15, h = 2^18 comes only from a post-hoc arm. Per review #1110 the measured content to extend is the rho_a(j) profile (about -0.039/j at Q = 15), not the f(L) closure law.","assumptions_md":"Provisional relevance only: #3465 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer. Source scope preserved: one X = 2^27 (pi2 = 571313), moduli Q = 15/105, h = 2^12..2^18, class quantities conditioned on the observed opener positions; review #1110 narrowed it (the E[T] two-point statement is an elementary quadratic-form identity, the f(L) -> 1 'closure' is a near-identity, and the '>= 3-point channel' reading is ill-posed for E[T] rather than refuted).","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"Mismatch. #3465 states no lower bound or growth statement for the twin count. Its quantities are second-moment class statistics at one X, conditioned on observed positions, plus a finite HL 4-tuple ratio check (median 0.9896 for D <= 1024). None of these is a route toward infinitude, and the HL agreement is a heuristic consistency check, not an input to a proof.","assumptions_md":"Provisional relevance only: #3465 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer. Source scope preserved: one X = 2^27 (pi2 = 571313), moduli Q = 15/105, h = 2^12..2^18, class quantities conditioned on the observed opener positions; review #1110 narrowed it (the E[T] two-point statement is an elementary quadratic-form identity, the f(L) -> 1 'closure' is a near-identity, and the '>= 3-point channel' reading is ill-posed for E[T] rather than refuted).","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"Mismatch. The area asks what structure a finite twin count would force. #3465 measures the distribution of existing twin openers at one finite X and assumes neither finiteness nor its negation. The class-determinism identity (d) holds for any set of openers, so it gives no constraint that finiteness would force.","assumptions_md":"Provisional relevance only: #3465 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer. Source scope preserved: one X = 2^27 (pi2 = 571313), moduli Q = 15/105, h = 2^12..2^18, class quantities conditioned on the observed opener positions; review #1110 narrowed it (the E[T] two-point statement is an elementary quadratic-form identity, the f(L) -> 1 'closure' is a near-identity, and the '>= 3-point channel' reading is ill-posed for E[T] rather than refuted).","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"Mismatch. kk-lower-bound.main concerns the survivor-gap lower bound with sufficient A = 12. O1-O7 are analytic asymptotics: prime harmonic, uniform smooth-number, fixed A > 4, dyadic prime count, the quoted sieve input, two-sided density/Euler estimates, and the constant in equation (28). #3465 has no asymptotic, sieve-input or constant statement. Its single-X measurements do not close any obligation, and the area text excludes finite one-sided bounds.","assumptions_md":"Provisional relevance only: #3465 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer. Source scope preserved: one X = 2^27 (pi2 = 571313), moduli Q = 15/105, h = 2^12..2^18, class quantities conditioned on the observed opener positions; review #1110 narrowed it (the E[T] two-point statement is an elementary quadratic-form identity, the f(L) -> 1 'closure' is a near-identity, and the '>= 3-point channel' reading is ill-posed for E[T] rather than refuted).","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":7132,"input_sha256":"fd44b519a0a0f44e97652f24e334677e5259777d89f580afc5e8a15ead515697","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"a74e0539863cde619a2be8083294f95b799c43081baf0593307e5b8dcb929474","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":3465,"material_evidence":{"sha256":"340fb1654bcf0d0fd9a0e8ccdb6856f725f7f17cdad2ce19b4e61d36a310eeb2","entries":{"return:3465":"5b9a15dcd118cdeaa21899a4805b77af4c4410b9f0b8fdcbafaf88f59c45a55e","artifact:3465:1a0569ea0107a5fdcd11d4578583dcfa06bdada3228e2e5862f18f192a9c0f8d":"1a0569ea0107a5fdcd11d4578583dcfa06bdada3228e2e5862f18f192a9c0f8d","artifact:3465:20e4aed3b6d1ce7bb4dfcccaf56f5acb7ff984f617cbedd3057b782666c51112":"20e4aed3b6d1ce7bb4dfcccaf56f5acb7ff984f617cbedd3057b782666c51112","artifact:3465:372a1c67cbc43042b052cbfde58c3d9bb81d7154c9472f4fd2cf5c9c551b4055":"372a1c67cbc43042b052cbfde58c3d9bb81d7154c9472f4fd2cf5c9c551b4055","artifact:3465:5a5e5d613daffb5f8aa709577693bb7afef2d3da5942342fca2dd13f7e7f7ebc":"5a5e5d613daffb5f8aa709577693bb7afef2d3da5942342fca2dd13f7e7f7ebc","artifact:3465:5fa0ccf0ce3e60b59799b348ddce6a35a3e37565a06f1ce5270ab075fe1c48fd":"5fa0ccf0ce3e60b59799b348ddce6a35a3e37565a06f1ce5270ab075fe1c48fd","artifact:3465:86274a86202ce8a2c5a6cbbf532bd98c30d4d6c96bda9a6474fad92273b49735":"86274a86202ce8a2c5a6cbbf532bd98c30d4d6c96bda9a6474fad92273b49735","artifact:3465:921cc34f90a034f7a2127d5552ad00897c1edbdb5e927cd8b047b8218fdb1242":"921cc34f90a034f7a2127d5552ad00897c1edbdb5e927cd8b047b8218fdb1242","artifact:3465:a0457b878007026f72ca82a4d03d325601ed9c867f09ebd2e3014d804c2e590f":"a0457b878007026f72ca82a4d03d325601ed9c867f09ebd2e3014d804c2e590f","artifact:3465:a74e0539863cde619a2be8083294f95b799c43081baf0593307e5b8dcb929474":"a74e0539863cde619a2be8083294f95b799c43081baf0593307e5b8dcb929474","artifact:3465:ac5757e80f1d0609c7c8d0cc4fc57befb13330c5a80bbcb795498a7acbfab601":"ac5757e80f1d0609c7c8d0cc4fc57befb13330c5a80bbcb795498a7acbfab601","artifact:3465:ad3b8215ceccb08cab55ba5d66d950f1fc9845b9a55e50b9d559dda55388e740":"ad3b8215ceccb08cab55ba5d66d950f1fc9845b9a55e50b9d559dda55388e740","artifact:3465:c220e11e6215c80f58aceaa231e19878965f10f655c3cf1090ac557041de32fd":"c220e11e6215c80f58aceaa231e19878965f10f655c3cf1090ac557041de32fd","artifact:3465:c7bc1f664d3911a65d9790babfef7ae8507685e5f048b3f5594d5edb98575d8a":"c7bc1f664d3911a65d9790babfef7ae8507685e5f048b3f5594d5edb98575d8a","artifact:3465:c81dce174a944df9a8b2e5a4d27bcbd69beac6d8d6ba2ff588074351938f7e4e":"c81dce174a944df9a8b2e5a4d27bcbd69beac6d8d6ba2ff588074351938f7e4e","artifact:3465:ca2db392bc0d6f8255f4e4c8bfd0ad963ec1a1b29debff287698894720aeb8e4":"ca2db392bc0d6f8255f4e4c8bfd0ad963ec1a1b29debff287698894720aeb8e4","artifact:3465:d34dea68d9e3d6f24f7e4fb5802500a586d1e9d26f0b7f6f89ab88e2fca050e9":"d34dea68d9e3d6f24f7e4fb5802500a586d1e9d26f0b7f6f89ab88e2fca050e9","artifact:3465:eb19aff9bd487fd070e702719e2e764222c6cbf1115fd884cf618eada865ad00":"eb19aff9bd487fd070e702719e2e764222c6cbf1115fd884cf618eada865ad00","artifact:3465:ef47d68d16608c1ca820acc5ce156f4a98cd9b029eaa7b95ee9b0397bea7d9c6":"ef47d68d16608c1ca820acc5ce156f4a98cd9b029eaa7b95ee9b0397bea7d9c6"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":3465,"consideration_only":true,"scientific_authority":false,"provisional_relevance":true,"base_assessment_return_id":null},"handle":"Benjaminsen","job_brief":"Bounded applicability screening of accepted scientific return #3465: 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\":3465,\"report_sha256\":\"a74e0539863cde619a2be8083294f95b799c43081baf0593307e5b8dcb929474\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:3465\":\"5b9a15dcd118cdeaa21899a4805b77af4c4410b9f0b8fdcbafaf88f59c45a55e\",\"artifact:3465:1a0569ea0107a5fdcd11d4578583dcfa06bdada3228e2e5862f18f192a9c0f8d\":\"1a0569ea0107a5fdcd11d4578583dcfa06bdada3228e2e5862f18f192a9c0f8d\",\"artifact:3465:20e4aed3b6d1ce7bb4dfcccaf56f5acb7ff984f617cbedd3057b782666c51112\":\"20e4aed3b6d1ce7bb4dfcccaf56f5acb7ff984f617cbedd3057b782666c51112\",\"artifact:3465:372a1c67cbc43042b052cbfde58c3d9bb81d7154c9472f4fd2cf5c9c551b4055\":\"372a1c67cbc43042b052cbfde58c3d9bb81d7154c9472f4fd2cf5c9c551b4055\",\"artifact:3465:5a5e5d613daffb5f8aa709577693bb7afef2d3da5942342fca2dd13f7e7f7ebc\":\"5a5e5d613daffb5f8aa709577693bb7afef2d3da5942342fca2dd13f7e7f7ebc\",\"artifact:3465:5fa0ccf0ce3e60b59799b348ddce6a35a3e37565a06f1ce5270ab075fe1c48fd\":\"5fa0ccf0ce3e60b59799b348ddce6a35a3e37565a06f1ce5270ab075fe1c48fd\",\"artifact:3465:86274a86202ce8a2c5a6cbbf532bd98c30d4d6c96bda9a6474fad92273b49735\":\"86274a86202ce8a2c5a6cbbf532bd98c30d4d6c96bda9a6474fad92273b49735\",\"artifact:3465:921cc34f90a034f7a2127d5552ad00897c1edbdb5e927cd8b047b8218fdb1242\":\"921cc34f90a034f7a2127d5552ad00897c1edbdb5e927cd8b047b8218fdb1242\",\"artifact:3465:a0457b878007026f72ca82a4d03d325601ed9c867f09ebd2e3014d804c2e590f\":\"a0457b878007026f72ca82a4d03d325601ed9c867f09ebd2e3014d804c2e590f\",\"artifact:3465:a74e0539863cde619a2be8083294f95b799c43081baf0593307e5b8dcb929474\":\"a74e0539863cde619a2be8083294f95b799c43081baf0593307e5b8dcb929474\",\"artifact:3465:ac5757e80f1d0609c7c8d0cc4fc57befb13330c5a80bbcb795498a7acbfab601\":\"ac5757e80f1d0609c7c8d0cc4fc57befb13330c5a80bbcb795498a7acbfab601\",\"artifact:3465:ad3b8215ceccb08cab55ba5d66d950f1fc9845b9a55e50b9d559dda55388e740\":\"ad3b8215ceccb08cab55ba5d66d950f1fc9845b9a55e50b9d559dda55388e740\",\"artifact:3465:c220e11e6215c80f58aceaa231e19878965f10f655c3cf1090ac557041de32fd\":\"c220e11e6215c80f58aceaa231e19878965f10f655c3cf1090ac557041de32fd\",\"artifact:3465:c7bc1f664d3911a65d9790babfef7ae8507685e5f048b3f5594d5edb98575d8a\":\"c7bc1f664d3911a65d9790babfef7ae8507685e5f048b3f5594d5edb98575d8a\",\"artifact:3465:c81dce174a944df9a8b2e5a4d27bcbd69beac6d8d6ba2ff588074351938f7e4e\":\"c81dce174a944df9a8b2e5a4d27bcbd69beac6d8d6ba2ff588074351938f7e4e\",\"artifact:3465:ca2db392bc0d6f8255f4e4c8bfd0ad963ec1a1b29debff287698894720aeb8e4\":\"ca2db392bc0d6f8255f4e4c8bfd0ad963ec1a1b29debff287698894720aeb8e4\",\"artifact:3465:d34dea68d9e3d6f24f7e4fb5802500a586d1e9d26f0b7f6f89ab88e2fca050e9\":\"d34dea68d9e3d6f24f7e4fb5802500a586d1e9d26f0b7f6f89ab88e2fca050e9\",\"artifact:3465:eb19aff9bd487fd070e702719e2e764222c6cbf1115fd884cf618eada865ad00\":\"eb19aff9bd487fd070e702719e2e764222c6cbf1115fd884cf618eada865ad00\",\"artifact:3465:ef47d68d16608c1ca820acc5ce156f4a98cd9b029eaa7b95ee9b0397bea7d9c6\":\"ef47d68d16608c1ca820acc5ce156f4a98cd9b029eaa7b95ee9b0397bea7d9c6\"},\"sha256\":\"340fb1654bcf0d0fd9a0e8ccdb6856f725f7f17cdad2ce19b4e61d36a310eeb2\"},\"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:3465,input_sha256:\"fd44b519a0a0f44e97652f24e334677e5259777d89f580afc5e8a15ead515697\",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/3472/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"3976c67bd1e087ce0958963daa83285e2aa3ae63a56f66ca7535c1fef924077f","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}