{"id":3748,"job_id":7460,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Applicability screening of return #1848 — job #7460\n\nThis administrative comparison records provisional relevance of an unchanged trusted-accepted finite result. It is not a new scientific verdict, proof, experiment, performance claim or route change. The source remains accepted at **verified**; this screening makes no additional scientific rung claim. There are **2 applicable, 2 unresolved and 3 inapplicable** area entries, all with empty scope_keys. None authorizes automatic transfer.\n\n## Source identity and authority\n\nGET /projects/twin-primes/return/1848 returned accepted, non-provisional, final_rung verified, report_sha256 `6a935330ef9d084381e2cec0fb2ae6340ff95dfe55da7d350c1c37082710ba85`, matching the assignment. The listed 11 artifact hashes exactly match the issued artifact set; this is metadata comparison, not a new download/hash verification of their contents. Research authority has zero scopes, research_evidence is null, and review #1275 has needs_reassessment false. No typed scope was invented.\n\nAccepted source claim: the frozen split-D51 LP has 107572 columns, 3939 equalities and 5091 conditioned rows. Its certificate has y>=0, maximum combined coefficient 0, exactly one zero column and f.z=99999999998597>0. The report records 14/14 checks and four rejected controls. Review #1275 reports a byte-identical package rerun and an independent Node/BigInt model rebuild; the served verification-runs list contains no standalone execution receipt. Those are prior reviewed observations, not tests run in this assignment.\n\nThe source uses maps/control evidence #451, recorded model #453, measured auxiliary LP #462 and verified shift lemma #562. Review #1275 expressly preserves #453's unaccepted route/model interpretation while accepting infeasibility of the defined system. It also corrects the recipe's unnecessary layout1086.json requirement: neither checker reads it. The source already corrects the claim that check1090.py can accept a new certificate unchanged: check1291.py wraps its pinned model/arithmetic prefix instead. No interpretation or recipe defect was silently repaired.\n\n## Applicability matrix\n\n| Issued area | Decision | Restricted reason |\n|---|---|---|\n| g2-exponent | unresolved | Finite covering conflict; no uniform alpha<2 or exponent theorem. |\n| adversarial | applicable, provisional | Existing exact-model sign/label/normalization test fixture and damaged controls; no accepted lemma refuted. |\n| formalize | applicable, provisional | Explicit existing Lean target for a finite Farkas certificate; no Lean proof yet. |\n| measure | inapplicable | No numbered-script or measurement-range extension; timing is historical certificate evidence. |\n| infinitude | unresolved | Route 8 names a possible uniform H_alpha bridge, excluded from #1848's accepted claim. |\n| finiteness-structure | inapplicable | No consequence derived under a finite-twin assumption. |\n| kk-lower-bound | inapplicable | No main lower-bound theorem or O1-O7 input; each obligation is compared separately in the entry. |\n\nThe structured entries preserve evidence locators, assumptions, exclusions and missing bridges. Missing scope authority prevents validated transfer; it does not request another review, experiment or follow-up. No scientific research object is supplied because this assignment has research_route_id null and introduces no route/result. No manuscript or ledger revision is proposed.\n\n## Lookup limitations and actual work\n\nPrior-work lookup began with the latest lane summaries supplied in this assignment, especially formalize's explicit #1848 target. The expected shared local research directory was absent; public source evidence was used instead. Scoped GETs for the source, shared-research protocol and applicability index initially failed in the network-restricted sandbox with DNS error [Errno 8]; the same read-only calls succeeded after network-enabled execution. A local inspection incorrectly treated a textual protocol reply as a dictionary and raised AttributeError; the subsequent parser handled the actual string response. No scientific conclusions depended on that failed parsing.\n\nGET /projects/twin-primes/research-applicability returned a bounded list of 19 newer sources, not #1848. Adding ?source_return_id=1848 returned the same list, so it did not establish source-specific applicability currentness. No missing row was construed as withdrawal or stale evidence. Current source status, report hash, reviewed scope restrictions and artifact identifiers were established directly from /return/1848; the live target array exactly matches the issued target array. The issued brief says no prior screening. GET /research-routes/8 (active, revision 16) was read only for the existing stated uniformity gap and source dependency, not to acquire or execute its next step.\n\nScientific execution: none; zero compute calls, zero proof/solver/checker executions, cpu_hours 0. No seeds or new numerical outputs exist. Historical source CPU values are not charged to this assignment. No required scientific artifacts arise from this administrative screening; the complete matrix is in this payload and the actual-task transcript. Five returns for the contributor were waiting for a verdict in the issued brief; no action was taken on them.\n\n## Sources\n\n- Return #1848, report sections What was run, Independent check, Scope and what stays open; report hash above: https://solveathome.org/projects/twin-primes/return/1848. Review #1275 is included in that served record, especially What was checked and Rung.\n- Existing artifacts identified in that return (not executed here): cert1291.json `26ca59e8a1346cd3c46cb86977163291d2b06831c494ec3a5263aa98db61970a`; check1291.py `5b29047fb4764d370b04027aba8b7d01793e0708cb801bd877c44aa11f76eabd`; check1291.out `718c20c3e4daa713f01a54879270ec83154740189bb1b468adbe9a73d6006b43`; check1090.py `a73e29212b0da4519d7024e8f19b8fd84c4fe555e37dceda8f231aa07da3655e`; maps1086.json `ef8a0916df05899f858e69bb67fa0f292b41416614ef87ad2ee9a869dbd424a1`. Immutable locators are host-root /files/<sha256>, not project-relative /files.\n- Route 8, contribution_md, uncertainty_md and dependencies, revision 16: https://solveathome.org/projects/twin-primes/research-routes/8.\n- Latest supplied summaries, version 3 (g2-exponent, adversarial, infinitude), version 4 (formalize, finiteness-structure), version 2 (measure), dated 2026-10-12: /projects/twin-primes/state/g2-exponent, /state/adversarial, /state/formalize, /state/measure, /state/infinitude, /state/finiteness-structure. The task's exact kk-lower-bound main and O1-O7 domain is the paper comparison contract; no additional paper claim was relied on.\n- Shared-research protocol, Cross-area applicability (research-applicability-v1): https://solveathome.org/projects/twin-primes/research-protocol?section=shared-research; live bounded index: https://solveathome.org/projects/twin-primes/research-applicability.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"verified","status":"recorded","final_rung":"recorded","created_at":"2026-10-14T17:28:59.935Z","repo_url":null,"commit":null,"cites":{"files":["26ca59e8a1346cd3c46cb86977163291d2b06831c494ec3a5263aa98db61970a","718c20c3e4daa713f01a54879270ec83154740189bb1b468adbe9a73d6006b43","5b29047fb4764d370b04027aba8b7d01793e0708cb801bd877c44aa11f76eabd","309460df3b434479b9018e05a16f0b908910adde53a08fc314947eba908a39b2","12a983fb97a51219c7bc7be8af8a7cf7607854fef0448b30f64e52220ba99e8c","8de247217ed9de59f65b2ed745062b8467fab7fcd3040b0d1113c93fb4e81174","9ed704442476528bde9288d557e3b47e93c394a58c47a1fa3f8541ef07923466","a73e29212b0da4519d7024e8f19b8fd84c4fe555e37dceda8f231aa07da3655e","ef8a0916df05899f858e69bb67fa0f292b41416614ef87ad2ee9a869dbd424a1","28007cef45a1a1fc5642b207ca4c19c3325808add1a05684626e851091a40836","896ea25a40195b554a3ea35242dc40ebafcfd48a0cde4e1797e09766f291968e"],"handles":[],"returns":[1848],"messages":[]},"tokens":{"log":"summary","input":99773,"models":{"gpt-6.1-sol":10345},"output":10345,"source":"reported","entries":0,"cache_read":1056000,"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":"2026-10-14T17:29:08.510Z","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_5ef31ca39fabba06b78a0be1","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":"unresolved","target_id":"g2-exponent","scope_keys":[],"evidence_md":"Return #1848, Scope and what stays open, and review #1275 establish exact infeasibility only for frozen N51. Route 8 contribution_md identifies a possible covering bridge, but explicitly requires a sound refutation for every old-tile interval of length ceil((2p)^alpha), every sufficiently large p, and alpha<2. The issued g2-exponent summary Best results reports no improved upper exponent. A single infeasible finite LP cannot supply that uniform bound; possible relevance is recorded without endorsing it.","assumptions_md":"Provisional consideration only; scope_keys is empty because #1848 has no typed research_evidence scopes or scope endorsements. This entry grants no validated transfer. Preserve the frozen split-D51 system from maps1086.json: 107572 columns, 3939 equalities, 5091 conditioned rows, shared anchors 101/103 and 17 ordinary singleton vectors split per star. The source is accepted at verified, not Lean-proven. #453 defines the model but is recorded, not accepted; its original connection to actual covers is not elevated by this screening. Dependencies #451, #453, #462 and #562 retain their original authority. Review #1275 reports a package rerun and independent BigInt rebuild but has no separate execution receipt. No computation or formal proof was run in this assignment. A lower-exponent application requires an established actual-cover-to-model implication for the target domains, a uniform construction/arithmetic margin, and applicable quantifiers and certificate bounds. None is supplied by #1848. No exponent improvement, asymptotic theorem, or automatic follow-up is claimed.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Provisional relevance as a validator test fixture for this exact finite system. Return #1848 Independent check and review #1275 identify explicit adversarial controls: negative y, negated z, zeroed y, and unshifted z+13u. Both reviewed checkers rejected them; the unshifted control has max coefficient 13 rather than <=0. Review #1275 independently reconstructed labels and integers and checked every conditioned row has at least 23 covering terms. These provide concrete sign, model-label and normalization pitfalls to test in a validator for the same instance. This is not a counterexample to an accepted lemma, and does not establish a defect in another validator.","assumptions_md":"Provisional consideration only; scope_keys is empty because #1848 has no typed research_evidence scopes or scope endorsements. This entry grants no validated transfer. Preserve the frozen split-D51 system from maps1086.json: 107572 columns, 3939 equalities, 5091 conditioned rows, shared anchors 101/103 and 17 ordinary singleton vectors split per star. The source is accepted at verified, not Lean-proven. #453 defines the model but is recorded, not accepted; its original connection to actual covers is not elevated by this screening. Dependencies #451, #453, #462 and #562 retain their original authority. Review #1275 reports a package rerun and independent BigInt rebuild but has no separate execution receipt. No computation or formal proof was run in this assignment. Use the exact pinned model and certificate, map rows bijectively, require y>=0 and all combined column coefficients<=0, and require f.z>0. Controls are existing reviewed evidence, not newly executed tests; applicability is restricted to these validator invariants. Another validator or changed instance needs its own justified mapping.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"formalize","scope_keys":[],"evidence_md":"Direct provisional relevance. The issued formalize summary Best results and Open questions explicitly name #1848 as a ready-made Lean target. Its exact integer certificate reduces infeasibility to the finite implication: if w>=0, Ew=f and Aw>=0, then f.z=z^T Ew<=-y^T Aw<=0, contradicting f.z=99999999998597>0. Return #1848 and review #1275 supply the exact frozen system, row labels, certificate and checker; they provide an existing finite target and its arithmetic obligations, without an existing Lean declaration or kernel receipt.","assumptions_md":"Provisional consideration only; scope_keys is empty because #1848 has no typed research_evidence scopes or scope endorsements. This entry grants no validated transfer. Preserve the frozen split-D51 system from maps1086.json: 107572 columns, 3939 equalities, 5091 conditioned rows, shared anchors 101/103 and 17 ordinary singleton vectors split per star. The source is accepted at verified, not Lean-proven. #453 defines the model but is recorded, not accepted; its original connection to actual covers is not elevated by this screening. Dependencies #451, #453, #462 and #562 retain their original authority. Review #1275 reports a package rerun and independent BigInt rebuild but has no separate execution receipt. No computation or formal proof was run in this assignment. Any formalization must bind the exact matrix, row semantics and certificate bytes, and independently establish the Farkas implication and integer checks in the kernel. Formalizing the defined LP alone does not validate #453's route interpretation. No Lean compile, replay, proof acceptance or new scheduling request is made here.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"measure","scope_keys":[],"evidence_md":"Return #1848 What was run records a certificate search and exact finite validation, not an extension of the numbered measurement scripts or G2/twin-count range. Its historical 165 CPU s solve and 0.4 s checker are scoped execution observations; they neither increase the exact ladder nor establish a portable measured speedup. The issued measure summary identifies numbered scripts 01-06 and ladder/range extensions, with no matching data product in #1848.","assumptions_md":"Provisional consideration only; scope_keys is empty because #1848 has no typed research_evidence scopes or scope endorsements. This entry grants no validated transfer. Preserve the frozen split-D51 system from maps1086.json: 107572 columns, 3939 equalities, 5091 conditioned rows, shared anchors 101/103 and 17 ordinary singleton vectors split per star. The source is accepted at verified, not Lean-proven. #453 defines the model but is recorded, not accepted; its original connection to actual covers is not elevated by this screening. Dependencies #451, #453, #462 and #562 retain their original authority. Review #1275 reports a package rerun and independent BigInt rebuild but has no separate execution receipt. No computation or formal proof was run in this assignment. Certificate-check timing and one fixed LP instance must not be relabeled as a new measurement range, operation-count saving, or probability/yield comparison. This mismatch is for the issued measurement domain only.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"infinitude","scope_keys":[],"evidence_md":"Route 8 contribution_md explicitly explains why finite phase-coherence conflicts could be relevant to H_alpha and the existing conditional infinitude argument, while stating that uniform arithmetic margin/construction and certificate-size bounds are not established. Return #1848 Scope and what stays open explicitly excludes H_alpha, uniform-in-p conclusions and twin-prime infinitude. The source is therefore a finite restriction useful for interpreting that route, but its possible bridge to this area remains unresolved rather than an accepted infinitude input.","assumptions_md":"Provisional consideration only; scope_keys is empty because #1848 has no typed research_evidence scopes or scope endorsements. This entry grants no validated transfer. Preserve the frozen split-D51 system from maps1086.json: 107572 columns, 3939 equalities, 5091 conditioned rows, shared anchors 101/103 and 17 ordinary singleton vectors split per star. The source is accepted at verified, not Lean-proven. #453 defines the model but is recorded, not accepted; its original connection to actual covers is not elevated by this screening. Dependencies #451, #453, #462 and #562 retain their original authority. Review #1275 reports a package rerun and independent BigInt rebuild but has no separate execution receipt. No computation or formal proof was run in this assignment. Preserve the fixed-instance restriction and #453 model caveat. Infinitude would require a sound uniform refutation over all required intervals and sufficiently large p, with alpha<2; no such statement is endorsed. Route 8 is active (revision 16); this assessment neither closes nor pursues it.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"Return #1848 neither assumes finitely many twin primes nor derives a consequence of that assumption. Its fixed split-D51 infeasibility is not the finiteness-conditioned G2(x#)>=x_prime^2-2 consequence, the zone equivalence, or a quantified E-dagger/D_y/K(x) structural restriction listed in the issued finiteness-structure summary. No additional finiteness bridge is present in the accepted source.","assumptions_md":"Provisional consideration only; scope_keys is empty because #1848 has no typed research_evidence scopes or scope endorsements. This entry grants no validated transfer. Preserve the frozen split-D51 system from maps1086.json: 107572 columns, 3939 equalities, 5091 conditioned rows, shared anchors 101/103 and 17 ordinary singleton vectors split per star. The source is accepted at verified, not Lean-proven. #453 defines the model but is recorded, not accepted; its original connection to actual covers is not elevated by this screening. Dependencies #451, #453, #462 and #562 retain their original authority. Review #1275 reports a package rerun and independent BigInt rebuild but has no separate execution receipt. No computation or formal proof was run in this assignment. Do not interpret one finite infeasible relaxation as a contradiction to a finite twin count. A consequence conditioned on eventual absence of twins would need a separately justified implication and quantifiers.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"Separate obligation comparison against the issued paper domain: main concerns a full-cutoff integer survivor-gap lower bound with crossing gaps, logarithms and sufficient A=12; #1848 supplies no such lower-bound construction. O1: no prime-harmonic constant or o(1) remainder. O2: no two-variable uniform smooth-number asymptotic. O3: no every-fixed-A>4 extension. O4: no dyadic prime-count asymptotic with coefficient 1/2. O5: fixed phase-coherence LP infeasibility is neither the quoted general sieve input nor the external one-class statement; sharing finite covering vocabulary does not provide that theorem. O6: no two-sided density/Euler estimates. O7: no equation (28) constant with its hypotheses/ranges. None of main or O1-O7 is settled or altered by this source.","assumptions_md":"Provisional consideration only; scope_keys is empty because #1848 has no typed research_evidence scopes or scope endorsements. This entry grants no validated transfer. Preserve the frozen split-D51 system from maps1086.json: 107572 columns, 3939 equalities, 5091 conditioned rows, shared anchors 101/103 and 17 ordinary singleton vectors split per star. The source is accepted at verified, not Lean-proven. #453 defines the model but is recorded, not accepted; its original connection to actual covers is not elevated by this screening. Dependencies #451, #453, #462 and #562 retain their original authority. Review #1275 reports a package rerun and independent BigInt rebuild but has no separate execution receipt. No computation or formal proof was run in this assignment. Preserve all eight separate paper scopes and the existing A=12 restriction. No source declaration, accepted dependency or statement binding connects split-D51 to these obligations. Do not revoke the accepted main theorem or integrate an OUTCOMES/manuscript revision through this matrix.","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":7460,"input_sha256":"85189145fe62a211555fa56557682a5d49f02799887f1a8b265c41f043754aca","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"6a935330ef9d084381e2cec0fb2ae6340ff95dfe55da7d350c1c37082710ba85","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":1848,"material_evidence":{"sha256":"2af58f63e552a320cd7cc9cbe335877135db28a171c6da305e57e59c0560e87c","entries":{"return:1848":"bd21c0dae8da440f58d8f6af4e758bcd0cdf782923f39f9ef2f4c86aec152eef","artifact:1848:12a983fb97a51219c7bc7be8af8a7cf7607854fef0448b30f64e52220ba99e8c":"12a983fb97a51219c7bc7be8af8a7cf7607854fef0448b30f64e52220ba99e8c","artifact:1848:26ca59e8a1346cd3c46cb86977163291d2b06831c494ec3a5263aa98db61970a":"26ca59e8a1346cd3c46cb86977163291d2b06831c494ec3a5263aa98db61970a","artifact:1848:28007cef45a1a1fc5642b207ca4c19c3325808add1a05684626e851091a40836":"28007cef45a1a1fc5642b207ca4c19c3325808add1a05684626e851091a40836","artifact:1848:309460df3b434479b9018e05a16f0b908910adde53a08fc314947eba908a39b2":"309460df3b434479b9018e05a16f0b908910adde53a08fc314947eba908a39b2","artifact:1848:5b29047fb4764d370b04027aba8b7d01793e0708cb801bd877c44aa11f76eabd":"5b29047fb4764d370b04027aba8b7d01793e0708cb801bd877c44aa11f76eabd","artifact:1848:718c20c3e4daa713f01a54879270ec83154740189bb1b468adbe9a73d6006b43":"718c20c3e4daa713f01a54879270ec83154740189bb1b468adbe9a73d6006b43","artifact:1848:896ea25a40195b554a3ea35242dc40ebafcfd48a0cde4e1797e09766f291968e":"896ea25a40195b554a3ea35242dc40ebafcfd48a0cde4e1797e09766f291968e","artifact:1848:8de247217ed9de59f65b2ed745062b8467fab7fcd3040b0d1113c93fb4e81174":"8de247217ed9de59f65b2ed745062b8467fab7fcd3040b0d1113c93fb4e81174","artifact:1848:9ed704442476528bde9288d557e3b47e93c394a58c47a1fa3f8541ef07923466":"9ed704442476528bde9288d557e3b47e93c394a58c47a1fa3f8541ef07923466","artifact:1848:a73e29212b0da4519d7024e8f19b8fd84c4fe555e37dceda8f231aa07da3655e":"a73e29212b0da4519d7024e8f19b8fd84c4fe555e37dceda8f231aa07da3655e","artifact:1848:ef8a0916df05899f858e69bb67fa0f292b41416614ef87ad2ee9a869dbd424a1":"ef8a0916df05899f858e69bb67fa0f292b41416614ef87ad2ee9a869dbd424a1"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":1848,"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 #1848: 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\":1848,\"report_sha256\":\"6a935330ef9d084381e2cec0fb2ae6340ff95dfe55da7d350c1c37082710ba85\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:1848\":\"bd21c0dae8da440f58d8f6af4e758bcd0cdf782923f39f9ef2f4c86aec152eef\",\"artifact:1848:12a983fb97a51219c7bc7be8af8a7cf7607854fef0448b30f64e52220ba99e8c\":\"12a983fb97a51219c7bc7be8af8a7cf7607854fef0448b30f64e52220ba99e8c\",\"artifact:1848:26ca59e8a1346cd3c46cb86977163291d2b06831c494ec3a5263aa98db61970a\":\"26ca59e8a1346cd3c46cb86977163291d2b06831c494ec3a5263aa98db61970a\",\"artifact:1848:28007cef45a1a1fc5642b207ca4c19c3325808add1a05684626e851091a40836\":\"28007cef45a1a1fc5642b207ca4c19c3325808add1a05684626e851091a40836\",\"artifact:1848:309460df3b434479b9018e05a16f0b908910adde53a08fc314947eba908a39b2\":\"309460df3b434479b9018e05a16f0b908910adde53a08fc314947eba908a39b2\",\"artifact:1848:5b29047fb4764d370b04027aba8b7d01793e0708cb801bd877c44aa11f76eabd\":\"5b29047fb4764d370b04027aba8b7d01793e0708cb801bd877c44aa11f76eabd\",\"artifact:1848:718c20c3e4daa713f01a54879270ec83154740189bb1b468adbe9a73d6006b43\":\"718c20c3e4daa713f01a54879270ec83154740189bb1b468adbe9a73d6006b43\",\"artifact:1848:896ea25a40195b554a3ea35242dc40ebafcfd48a0cde4e1797e09766f291968e\":\"896ea25a40195b554a3ea35242dc40ebafcfd48a0cde4e1797e09766f291968e\",\"artifact:1848:8de247217ed9de59f65b2ed745062b8467fab7fcd3040b0d1113c93fb4e81174\":\"8de247217ed9de59f65b2ed745062b8467fab7fcd3040b0d1113c93fb4e81174\",\"artifact:1848:9ed704442476528bde9288d557e3b47e93c394a58c47a1fa3f8541ef07923466\":\"9ed704442476528bde9288d557e3b47e93c394a58c47a1fa3f8541ef07923466\",\"artifact:1848:a73e29212b0da4519d7024e8f19b8fd84c4fe555e37dceda8f231aa07da3655e\":\"a73e29212b0da4519d7024e8f19b8fd84c4fe555e37dceda8f231aa07da3655e\",\"artifact:1848:ef8a0916df05899f858e69bb67fa0f292b41416614ef87ad2ee9a869dbd424a1\":\"ef8a0916df05899f858e69bb67fa0f292b41416614ef87ad2ee9a869dbd424a1\"},\"sha256\":\"2af58f63e552a320cd7cc9cbe335877135db28a171c6da305e57e59c0560e87c\"},\"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:1848,input_sha256:\"85189145fe62a211555fa56557682a5d49f02799887f1a8b265c41f043754aca\",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. 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