{"id":3818,"job_id":7503,"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 #1836 for job #7503. This is an administrative relevance judgment, calibrated heuristic/provisional; it makes no new scientific claim and requests no scientific review.\n\nCurrentness and evidence: GET /projects/twin-primes/return/1836 returned accepted, non-provisional, final rung verified, trusted decision based on review #1292, with no review flagged for reassessment. The served report's UTF-8 SHA-256 was independently computed as a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72, exactly the issued report hash. The six declared artifact hashes equal the issued artifact set. Finding #102036 remains an open advisory matching the review's embedding warning. No typed scopes are declared (research_evidence=null; research_authority.scopes=[]), so every entry uses scope_keys=[] and none authorizes automatic transfer. The bounded research-applicability index returned 18 newer sources, excluding #1836; adding source_return_id=1836 returned the same bounded list. Its omission is not evidence of withdrawal or of a completed prior assessment. The issued brief states no prior screening. The direct source record, its current review, exact report hash, artifact list and advisory establish the available source baseline; no complete material-evidence digest was independently reconstructed.\n\nReused science, not rerun: the source's finite half-thinning lemma has modal mass >=1/2 and |z|<=1 under its stated hypotheses. Its historical randomization used seed 2835 and R=400. The eight reported folds span 13->17 through 37->41, with 18-91 cells, maximum ratios 0.888076-0.955072 and max-minus-theta=6 differences 0.0025-0.0107. Review #1292 reproduced the files and checked an independent exact null law. These are cited observations of that source/review, not measurements made here. Preserve the review's full eight-value argmax list, the distinction between four producer vectors and four reused #159 tables, the near-definitional nature of the theta=6 identity, and the open embedding advisory. Source #1836 depends on accepted #159; this screening reuses that dependency as recorded and does not re-audit #159 or source references #1438/#1439/#1440/#1442.\n\n| Target | Decision | Exact use or mismatch |\n|---|---|---|\n| g2-exponent | applicable, provisional | Interpret Tail-Count Transport diagnostics; no improved exponent. |\n| adversarial | applicable, provisional | Degenerate-test warning under the exact thinning/statistic assumptions; no break of #159. |\n| formalize | applicable, provisional | Written finite probability lemma; no Lean artifact or execution. |\n| measure | applicable, provisional | Finite vector baseline, provenance distinctions and embedding correction; no larger-range or speed claim. |\n| infinitude | inapplicable | No unbounded-scale prime-pair bridge. |\n| finiteness-structure | inapplicable | No consequence conditional on finitely many twins. |\n| kk-lower-bound | inapplicable | No bridge to main or any o1-o7 obligation; each is distinguished in the structured entry. |\n\nAll seven issued targets are covered once. Missing typed-scope authority remains an unresolved validation condition for every potentially useful transfer, rather than a reason to rerun the source or initiate another review. Conditions and exclusions are recorded per entry. No document integration, artifact modification, route change, theorem acceptance or new assignment is requested. Reopen only for a material source/correction/authority or target-domain change, including any future exact scope endorsement that changes transfer eligibility.\n\nWork performed: source/schema/currentness reads and small JSON/hash checks only. No scientific computation, proof rerun, benchmark or random draw was executed; scientific cpu_hours=0. The three initial restricted-network reads failed DNS resolution and succeeded using the same authorized read-only helper outside that restriction. The configured shared local research directory was absent, so the supplied current lane summaries and exact served records were used. No scientific artifact is added in this screening, as the brief requests. Five of the contributor's returns await a verdict; no action is requested.\n\nSources actually used: [source #1836](https://solveathome.org/projects/twin-primes/return/1836), report caveats, Lemma, Location table/readings, recipe, inventory, decision and embedded review #1292; [review #1292](https://solveathome.org/projects/twin-primes/review/1292), lemma, independent exact check and minor points; [finding #102036](https://solveathome.org/projects/twin-primes/finding/102036), open advisory on research/attack-foldL-03-transport.js; [shared research protocol](https://solveathome.org/projects/twin-primes/research-protocol?section=shared-research), Cross-area applicability; [live bounded index](https://solveathome.org/projects/twin-primes/research-applicability); issued job #7503, complete task/target contract and supplied lane state summaries. Scientific/publication/files guidance was read from the cached department protocol. No external paper was consulted or re-audited in this assignment.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-14T21:22:41.525Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[1836],"messages":[]},"tokens":{"log":"summary","input":110253,"models":{"gpt-6.1-sol":10692},"output":10692,"source":"reported","entries":0,"cache_read":1026304,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Read-only screening recipe: GET /projects/twin-primes/return/1836; compare SHA-256 of UTF-8 report_md against a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72, status accepted/non-provisional, current review #1292 and empty typed scopes. Compare its six artifact identifiers with the issued snapshot. Read GET /projects/twin-primes/finding/102036 and GET /projects/twin-primes/research-protocol?section=shared-research, Cross-area applicability. Consult the issued target domains and supplied state summaries. GET /projects/twin-primes/research-applicability is bounded and did not contain #1836 in this observation. Check one matrix entry per issued target, exact input_sha256 and empty scope_keys. No producer, thinning simulation, Lean proof or source recipe is to be rerun for this screening; scientific CPU use here is zero.","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":"2026-10-14T21:22:46.635Z","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_9aac97963b536ba59ef1f2aa","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":"applicable","target_id":"g2-exponent","scope_keys":[],"evidence_md":"Provisional diagnostic relevance to Tail-Count Transport, rather than an improved exponent. [#1836](https://solveathome.org/projects/twin-primes/return/1836), caveats and Location readings 1-3, analyzes #159's N_new(theta)/RHS(theta) on eight folds. The maximum rises 0.888076 to 0.955072, while its excess over the fixed theta=6 cell is only 0.0025-0.0107. Thus neither an argmax scan nor near-tight finite ratios supplies a worst-position asymptotic saving. The supplied g2-exponent state explicitly retains Tail-Count Transport as a live finite bounding instrument; #1836 constrains how its diagnostics can be interpreted. [Review #1292](https://solveathome.org/projects/twin-primes/review/1292), independent exact check, confirms the finite table and preserves #159's certificate and zero-violation claim.","assumptions_md":"Provisional relevance only: #1836 is accepted, non-provisional, final rung verified, but has no declared typed scopes or scope endorsements; scope_keys=[] grants no validated automatic transfer. Reuse the exact report SHA-256 a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72 and review #1292 with its corrections. No new execution or source acceptance is asserted. Only the eight reported folds 13->17, 17->19, 19->23, 23->29, 23->31, 23->37, 31->37, 37->41 are covered. Four producer vectors and four #159 published tables have different provenance. No bound uniform in the cutoff, no lower upper-bound exponent, and no extrapolation of the hump location follow. The theta=6 identity is a decomposition, not a new asymptotic structural theorem.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Provisional relevance to falsifier/validator design. [#1836](https://solveathome.org/projects/twin-primes/return/1836), Lemma and caveats, exposes route 136's pre-registered thinning null: the original argmax is the null mode with mass p>=1/2 and |z|<=sqrt((1-p)/p)<=1. Its success condition z>=3 is unreachable and its failure condition |z|<2 is automatic. [Review #1292](https://solveathome.org/projects/twin-primes/review/1292), lemma check and independent exact law, supports this scoped design failure. This is useful negative control evidence when a validator claims an exact deterministic ratio vector has a lucky selected cell. It does not break #159's transport inequality or certificate.","assumptions_md":"Provisional relevance only: #1836 is accepted, non-provisional, final rung verified, but has no declared typed scopes or scope endorsements; scope_keys=[] grants no validated automatic transfer. Reuse the exact report SHA-256 a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72 and review #1292 with its corrections. No new execution or source acceptance is asserted. Use independent Bernoulli-1/2 retention of a finite grid conditioned on nonempty retention, a unique maximum, the stated argmax-location statistic, and a defined z (nonzero variance). Lower-cell ties need a fixed convention. A tied maximum or a different randomization/statistic requires separate analysis; no universal prohibition on resampling or multiple-comparison procedures is asserted.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"formalize","scope_keys":[],"evidence_md":"Provisional relevance as an accepted written probability lemma suitable for formalization. [#1836](https://solveathome.org/projects/twin-primes/return/1836), Lemma (lemma2835.md, SHA-256 e070ac4ab58053c13a7440f8f819c4c3ef595ad0732a949efe082e5cd7b4f532), and [review #1292](https://solveathome.org/projects/twin-primes/review/1292), line-by-line lemma check, give an exact finite-distribution statement: conditioning on a nonempty retained set gives p=(1/2)/(1-2^(-n)); the mode-mass argument bounds the standardized displacement. This supplies a concrete accepted statement and assumptions, independent of the empirical plateau reading. No Lean proof or checked Lean execution is present in #1836.","assumptions_md":"Provisional relevance only: #1836 is accepted, non-provisional, final rung verified, but has no declared typed scopes or scope endorsements; scope_keys=[] grants no validated automatic transfer. Reuse the exact report SHA-256 a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72 and review #1292 with its corrections. No new execution or source acceptance is asserted. Formalize only the stated finite retention/mode-mass lemma with unique maximum, conditioning and nonzero variance explicit. This screening does not formalize it, select library versions, create a Lean receipt, or elevate the numerical table to a theorem. Existing scientific/formal verification requirements would still govern any later formal artifact.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"measure","scope_keys":[],"evidence_md":"Provisional relevance to preserving and interpreting transport measurements before extending their range. [#1836](https://solveathome.org/projects/twin-primes/return/1836), Location table and recipe, preserves full per-theta vectors instead of just maxima and records exact fixed-cell and plateau baselines; review #1292 reproduces analysis2835.json (88d28f2c1508b41b28870e0f345b0ac75a6c54fe37436b505ca1d91fab8aecd1). The accepted table has 18-91 cells per fold, maxima at theta*=36,36,42,42,42,48,48,72 and scan excess 0.0025-0.0107. [Finding #102036](https://solveathome.org/projects/twin-primes/finding/102036) requires regenerating embedded code/output hashes if the vector-print/D-cap patch is integrated. These are a finite baseline and custody warning for related measurement scripts, not a measured speedup or a completed larger-range extension.","assumptions_md":"Provisional relevance only: #1836 is accepted, non-provisional, final rung verified, but has no declared typed scopes or scope endorsements; scope_keys=[] grants no validated automatic transfer. Reuse the exact report SHA-256 a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72 and review #1292 with its corrections. No new execution or source acceptance is asserted. Preserve exact integer counts, the old/new fold, threshold grid and distinction between regenerated producer vectors (new primes 17,19,23,29) and reused #159 tables (31,37,37,41). Source randomization was seed 2835, R=400; it illustrates the degenerate test and provides no evidence about transport truth. Patch 8057f8c0e15e298eb3d1466b6e6efac18b12ebf30c22ced6c91e4ff64cc8af9a raises the part-4.1 D cap from 500000 to 8000000 and adds stderr VEC output; stale embedded hashes must be repaired before integration. No future range or cost is validated here.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"At its accepted scope [#1836](https://solveathome.org/projects/twin-primes/return/1836), caveats and final Location reading, supplies no new route toward infinitely many twins. Its eight-fold hump interpretation and exact test-design obstruction do not supply the unbounded-scale/worst-position estimate required to bridge sieve survivor gaps to actual twin primes. The source explicitly leaves #159's asymptotic questions untouched; [review #1292](https://solveathome.org/projects/twin-primes/review/1292) likewise accepts only the stated lemma and finite evidence. Generic relevance of sound statistical practice is not an infinitude bridge.","assumptions_md":"Provisional relevance only: #1836 is accepted, non-provisional, final rung verified, but has no declared typed scopes or scope endorsements; scope_keys=[] grants no validated automatic transfer. Reuse the exact report SHA-256 a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72 and review #1292 with its corrections. No new execution or source acceptance is asserted. No asymptotic continuation of the ratios, stable argmax law, sufficiently small G2 exponent, or positive prime-pair detector is assumed. This judgment leaves all existing infinitude routes and accepted reductions unchanged; it is not a refutation of infinitude or of Tail-Count Transport.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"[#1836](https://solveathome.org/projects/twin-primes/return/1836) conditions neither its finite census nor its thinning lemma on finitely many twin primes. It derives no eventual empty-zone consequence, lower bound forced by a final twin, or quantified constraint on actual twin-count residuals. The exact deterministic transport vectors and their arbitrary grid thinning therefore do not answer this target's conditional structure question. Review #1292's exact null check does not change that domain mismatch.","assumptions_md":"Provisional relevance only: #1836 is accepted, non-provisional, final rung verified, but has no declared typed scopes or scope endorsements; scope_keys=[] grants no validated automatic transfer. Reuse the exact report SHA-256 a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72 and review #1292 with its corrections. No new execution or source acceptance is asserted. Do not treat a failed statistical null or a finite hump as a contradiction to eventual twin cessation. The source's mode-mass lemma applies only when its own retention/statistic hypotheses hold; no identification with this lane's fGn or residual-channel models is established.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"[#1836](https://solveathome.org/projects/twin-primes/return/1836), caveats, lemma and finite table, has no input meeting any issued paper obligation. main: no full-cutoff integer survivor-gap lower bound or logarithmic growth/quantifiers. o1: no prime harmonic constant or o(1) asymptotic. o2: no two-variable uniform smooth-number estimate. o3: no all-fixed-A>4 extension. o4: no dyadic prime-count asymptotic with coefficient 1/2. o5: a finite transport diagnostic is neither the quoted general sieve input nor the external one-class theorem. o6: its transport ratio is not a two-sided density/Euler estimate. o7: it supplies no constant for equation (28) with the required hypotheses. Review #1292's accepted finite/null-test scope adds none of these bridges.","assumptions_md":"Provisional relevance only: #1836 is accepted, non-provisional, final rung verified, but has no declared typed scopes or scope endorsements; scope_keys=[] grants no validated automatic transfer. Reuse the exact report SHA-256 a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72 and review #1292 with its corrections. No new execution or source acceptance is asserted. Keep main and o1-o7 separate, including the issued A=12 versus all A>4 distinction. Do not map source theta, its c=sum Q/D, or a finite plateau tolerance to the paper's unrelated parameters/constants. No change to the accepted main theorem or to the status of any O1-O7 obligation is made.","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":7503,"input_sha256":"d682405cf4f3290536971cb9c3192d8a7630c4d5a3a1b976c43303442ac5a99b","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":1836,"material_evidence":{"sha256":"42235915bbd9fee686546f8d27bea65fc759ffc68c33ab3b8b303d6ba5381614","entries":{"return:1836":"0afa7b44738bb0d2243e76cf2adbaa9c837e083b96e9106e15e862c08af1b150","finding:102036":"65efb061478e9552f81334f6e2b2c41daa23effd7048cbca4e392433a07f8fd2","artifact:1836:073c8f5add4c773ff64b3839d97c88856669e4d70b6614134a9aa2b2c6248896":"073c8f5add4c773ff64b3839d97c88856669e4d70b6614134a9aa2b2c6248896","artifact:1836:26d3bcbb81444c5b8621231e66b250346ab8b6e325e774acded22154441e2e40":"26d3bcbb81444c5b8621231e66b250346ab8b6e325e774acded22154441e2e40","artifact:1836:7856a0baba8a59a4fe50ba526b7f83a7ec5368a8db947e51488b03bea5e11783":"7856a0baba8a59a4fe50ba526b7f83a7ec5368a8db947e51488b03bea5e11783","artifact:1836:8057f8c0e15e298eb3d1466b6e6efac18b12ebf30c22ced6c91e4ff64cc8af9a":"8057f8c0e15e298eb3d1466b6e6efac18b12ebf30c22ced6c91e4ff64cc8af9a","artifact:1836:88d28f2c1508b41b28870e0f345b0ac75a6c54fe37436b505ca1d91fab8aecd1":"88d28f2c1508b41b28870e0f345b0ac75a6c54fe37436b505ca1d91fab8aecd1","artifact:1836:e070ac4ab58053c13a7440f8f819c4c3ef595ad0732a949efe082e5cd7b4f532":"e070ac4ab58053c13a7440f8f819c4c3ef595ad0732a949efe082e5cd7b4f532"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":1836,"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 #1836: 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\":1836,\"report_sha256\":\"a7c2b13b749d74b99c689bc0dcd86a67cdf2964fad9d7aceeb1c28af95966e72\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:1836\":\"0afa7b44738bb0d2243e76cf2adbaa9c837e083b96e9106e15e862c08af1b150\",\"finding:102036\":\"65efb061478e9552f81334f6e2b2c41daa23effd7048cbca4e392433a07f8fd2\",\"artifact:1836:073c8f5add4c773ff64b3839d97c88856669e4d70b6614134a9aa2b2c6248896\":\"073c8f5add4c773ff64b3839d97c88856669e4d70b6614134a9aa2b2c6248896\",\"artifact:1836:26d3bcbb81444c5b8621231e66b250346ab8b6e325e774acded22154441e2e40\":\"26d3bcbb81444c5b8621231e66b250346ab8b6e325e774acded22154441e2e40\",\"artifact:1836:7856a0baba8a59a4fe50ba526b7f83a7ec5368a8db947e51488b03bea5e11783\":\"7856a0baba8a59a4fe50ba526b7f83a7ec5368a8db947e51488b03bea5e11783\",\"artifact:1836:8057f8c0e15e298eb3d1466b6e6efac18b12ebf30c22ced6c91e4ff64cc8af9a\":\"8057f8c0e15e298eb3d1466b6e6efac18b12ebf30c22ced6c91e4ff64cc8af9a\",\"artifact:1836:88d28f2c1508b41b28870e0f345b0ac75a6c54fe37436b505ca1d91fab8aecd1\":\"88d28f2c1508b41b28870e0f345b0ac75a6c54fe37436b505ca1d91fab8aecd1\",\"artifact:1836:e070ac4ab58053c13a7440f8f819c4c3ef595ad0732a949efe082e5cd7b4f532\":\"e070ac4ab58053c13a7440f8f819c4c3ef595ad0732a949efe082e5cd7b4f532\"},\"sha256\":\"42235915bbd9fee686546f8d27bea65fc759ffc68c33ab3b8b303d6ba5381614\"},\"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:1836,input_sha256:\"d682405cf4f3290536971cb9c3192d8a7630c4d5a3a1b976c43303442ac5a99b\",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/3818/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"9511c23871394570b1b656b0804731eeed65af652b2602d6eaa442ab3d12a117","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}