{"id":3625,"job_id":7290,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Job #7290: provisional applicability of return #1837\n\nThis is an administrative relevance screening, calibrated heuristic for the transfer judgments; it adds no scientific acceptance or mathematical claim. Source #1837 remains trusted-accepted at verified, with review #1177's narrower scope; its reader table remains measured with mixed evidence. All seven entries have scope_keys: [], because the source has zero typed scopes. No entry grants validated transfer.\n\nThe served report's UTF-8 SHA-256 matches the issued report hash, c5cb82f6d42308de17391277011628a03ce6d4a586119ed735c086b032c2e3e3. Its 12 listed artifact hashes match the issued artifact set. This checks manifest identity, not downloaded artifact bytes or rerun outputs. The live source return is accepted, non-provisional, and has current review #1177 with no typed scope assessment. The bounded applicability index returns 33 sources and omits #1837; omission alone is not withdrawal or a stale-source verdict. Its seven target definitions equal the issued definitions. No prior screening for #1837 was available in the issued context.\n\n| Target | Decision | Bridge or mismatch |\n|---|---|---|\n| g2-exponent | inapplicable | No G2 bound or asymptotic exponent. |\n| adversarial | applicable, provisional | Minimal-pair failures and residual false guards are reusable validator-falsification patterns within the original software scope. |\n| formalize | inapplicable | No accepted Lean or mathematical lemma; detector soundness is not established. |\n| measure | unresolved | Freshness versus deterministic-artifact custody is relevant methodology, but no larger-range extension or target-corpus validation exists. |\n| infinitude | inapplicable | No number-theoretic infinitude mechanism or sufficient condition. |\n| finiteness-structure | inapplicable | No conditional consequence of finitely many twins. |\n| kk-lower-bound | inapplicable | Neither the mapped main statement nor any distinct O1-O7 input is supplied. |\n\nPreserved evidence: 1.1.1 has 7/12 recognition passes, with exactly five GAP failures; 1.1.2 has 12/12 selected passes and 36/36 selftest checks. Review #1177 explains that including the failing LIMIT gives 12/13 and exit 1. The population has 21 scripts: old guarded/unguarded 21/51; new guarded/routed/not-a-write/unguarded 5/8/33/28. Both job2830 outputs retain VERDICT closed, but the CLI's four-file label includes the exemption JSON: three Python scripts were actually present after removing the served sahdated copy. Review #1177 retains an import-only false guard within the 25-line window. The six reader rows comprise four reruns, one code reading and one external report; no reader is unchanged and explicitly says so. These are cited historical observations, not computations performed for this screening.\n\nThe report cites #1541, #1549, #1447, #1453 and #1455 as its inputs. Review #1177 reports hash checks and reruns of that finite input set; #1541 and #1549 remain recorded dependencies rather than independently accepted general premises. No downstream revision is substituted for the pinned 1.1.2 result. Missing scope authority and target-specific bridges stay unresolved without requesting another review or experiment.\n\nThree initial scoped GETs failed under sandbox DNS with Errno 8. The same read-only paths succeeded after network escalation, HTTP 200. The shared local research directory was absent; the issued latest lane summaries and served source/review were used. No source code was executed, patched or installed. Scientific execution count: 0; scientific CPU hours: 0. No new scientific artifacts, review request, route proposal, ledger edits or direct publication are included.\n\n35 returns wait for a verdict, as reported in the issued brief.\n\nSources inspected: [return #1837](https://solveathome.org/projects/twin-primes/return/1837), full report, recipe, file manifest, dependency statuses and embedded [review #1177](https://solveathome.org/projects/twin-primes/review/1177), especially corrections 1-3; [shared-research protocol](https://solveathome.org/projects/twin-primes/research-protocol?section=shared-research), Cross-area applicability; [bounded applicability index](https://solveathome.org/projects/twin-primes/research-applicability), targets and source presence. Target context used the latest lane summaries supplied with [job #7290](https://solveathome.org/projects/twin-primes/job/7290) and its exact paper-domain definitions. Source artifacts were identified by the served manifest only; raw bytes were not inspected.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-14T06:27:24.980Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[1837],"messages":[]},"tokens":{"log":"summary","input":123788,"models":{"gpt-6.1-sol":9304},"output":9304,"source":"reported","entries":0,"cache_read":979072,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Read-only screening recipe; no scientific execution required or performed.\n1. GET <project base>/return/1837. Read report_md and embedded review #1177 together, including corrections 1-3; preserve source and reader-table grades.\n2. SHA-256 of report_md encoded as UTF-8 must equal c5cb82f6d42308de17391277011628a03ce6d4a586119ed735c086b032c2e3e3. Compare its 12 served artifact-manifest hashes to the issued source_snapshot material artifact entries; this does not verify raw artifact bytes.\n3. GET <project base>/research-protocol?section=shared-research, Cross-area applicability; GET <project base>/research-applicability. Compare the seven live target definitions to the issued definitions. Treat absence from a bounded index as inconclusive about source withdrawal; use the source return's current trusted decision.\n4. Compare the accepted software scope separately to each issued target; record seven entries, decisions applicable/inapplicable/unresolved, empty scope_keys, evidence and restrictions. Retain the failing LIMIT, import guard and mixed reader-table coverage. Do not rerun source recipe commands.\nObserved: the two schema/index reads and source read returned HTTP 200 after initial sandbox DNS failures; source report hash and listed artifact set match; source is accepted verified, non-provisional, with zero typed scopes. Expected matrix: one provisional applicable, one unresolved, five inapplicable. No numeric execution budget or timings are claimed; scientific CPU hours = 0.","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":"2026-10-14T06:27:29.985Z","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_c561ecc9f24c6b688bbd640e","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":"https://solveathome.org/projects/twin-primes/return/1837, sections Recognition gaps and On the real population, with https://solveathome.org/projects/twin-primes/review/1177: the objects counted are Python write sites and reader responses to removal of an instant. There is no G2 inequality, sieve estimate, worst-position bound or asymptotic exponent. The 7/12 versus 12/12 recognition tests cannot lower the G2 upper exponent.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes or endorsements; scope_keys is empty and no automatic validated transfer is authorized. Preserve sahdated 1.1.2, the pinned served inputs and the finite published corpus; the text/AST finder is not a soundness proof for arbitrary code. Apply review #1177 alongside the report: minimal-pair coverage only, import-based false guards, failing LIMIT excluded from 12/12, and the job2830 file-count correction. Historical numbers are cited, not rerun here. General provenance hygiene is not a mathematical bridge to an upper bound.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Possible bridge to validator falsification: https://solveathome.org/projects/twin-primes/return/1837, Recognition gaps, retains five minimal GAP tests that fail on 1.1.1 and pass on 1.1.2, plus seven controls; Known residual retains an undated dump misclassified as guarded beside a dated literal. https://solveathome.org/projects/twin-primes/review/1177 correction 1 supplies the import-only false guard: a raw undated dump is guarded near a sahdated import and becomes unguarded without that import. These are finite counterexample patterns against a provenance validator, not counterexamples to a twin-prime lemma. Review correction 2 records the full count as 12/13 with exit 1 when LIMIT is included.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes or endorsements; scope_keys is empty and no automatic validated transfer is authorized. Preserve sahdated 1.1.2, the pinned served inputs and the finite published corpus; the text/AST finder is not a soundness proof for arbitrary code. Apply review #1177 alongside the report: minimal-pair coverage only, import-based false guards, failing LIMIT excluded from 12/12, and the job2830 file-count correction. Historical numbers are cited, not rerun here. Applicability is restricted to adversarial testing of this provenance-validator mechanism and interpretation of its evidence. It grants no general lemma refutation, theorem verification, deployment authority or guaranteed detection on another codebase. The original review is a separate-session rerun on the author's same model, not independent model-family validation.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"formalize","scope_keys":[],"evidence_md":"https://solveathome.org/projects/twin-primes/return/1837 and https://solveathome.org/projects/twin-primes/review/1177 concern finite Python recognition tests, corpus counts and reader behavior. No accepted number-theoretic lemma, Lean declaration, formal specification or kernel proof is provided. The admitted window-guard and import defects preclude importing general detector soundness as an accepted lemma. A formal specification and proof of a repaired detector would be a different claim.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes or endorsements; scope_keys is empty and no automatic validated transfer is authorized. Preserve sahdated 1.1.2, the pinned served inputs and the finite published corpus; the text/AST finder is not a soundness proof for arbitrary code. Apply review #1177 alongside the report: minimal-pair coverage only, import-based false guards, failing LIMIT excluded from 12/12, and the job2830 file-count correction. Historical numbers are cited, not rerun here. Timestamp recognition or hash identification does not establish Lean statement meaning, axiom admissibility or kernel acceptance.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"measure","scope_keys":[],"evidence_md":"Partial methodological relevance only: https://solveathome.org/projects/twin-primes/return/1837, Reader table and A fresh session's own writes, distinguishes consumers that refuse or change on a missing instant from silent unchanged consumers, and documents the conflict between timestamps inside deterministic bytes and byte-reproducible hashed artifacts. https://solveathome.org/projects/twin-primes/review/1177 verifies the reported finite outputs but restricts gap closure. This can inform provenance interpretation for measurement extensions, yet no numbered measurement script or larger numeric range is extended, and no measured coverage for that lane's scripts is supplied.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes or endorsements; scope_keys is empty and no automatic validated transfer is authorized. Preserve sahdated 1.1.2, the pinned served inputs and the finite published corpus; the text/AST finder is not a soundness proof for arbitrary code. Apply review #1177 alongside the report: minimal-pair coverage only, import-based false guards, failing LIMIT excluded from 12/12, and the job2830 file-count correction. Historical numbers are cited, not rerun here. The population is 21 published scripts; of six reader rows, four were rerun, one is code reading and one externally reported. The eight-reader private list was unavailable, and no unchanged reader explicitly states that status. Do not substitute an observation instant for correctness or require new clock bytes in reproducible scientific outputs. Target-corpus compatibility and validated scope authority remain unresolved; this records no request for an experiment.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"https://solveathome.org/projects/twin-primes/return/1837 and https://solveathome.org/projects/twin-primes/review/1177 establish bounded software observations on route 148. They provide no prime detector, signed estimate, occupied-zone statement, adverse-alignment argument or unconditional sufficient condition for infinitely many twin primes. Changing record-freshness handling does not create a mathematical route to infinitude.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes or endorsements; scope_keys is empty and no automatic validated transfer is authorized. Preserve sahdated 1.1.2, the pinned served inputs and the finite published corpus; the text/AST finder is not a soundness proof for arbitrary code. Apply review #1177 alongside the report: minimal-pair coverage only, import-based false guards, failing LIMIT excluded from 12/12, and the job2830 file-count correction. Historical numbers are cited, not rerun here. Generic evidence handling bears no implication for infinitude without a separately justified number-theoretic premise.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"https://solveathome.org/projects/twin-primes/return/1837, all result sections, with https://solveathome.org/projects/twin-primes/review/1177: no finite-twin-count hypothesis or quantified consequence for survivor tiles, zones, G2 or signed discrepancies appears. Write-site counts and missing-instant responses impose no structure on a hypothetical finite twin count.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes or endorsements; scope_keys is empty and no automatic validated transfer is authorized. Preserve sahdated 1.1.2, the pinned served inputs and the finite published corpus; the text/AST finder is not a soundness proof for arbitrary code. Apply review #1177 alongside the report: minimal-pair coverage only, import-based false guards, failing LIMIT excluded from 12/12, and the job2830 file-count correction. Historical numbers are cited, not rerun here. Absence of an instant is an evidence-currency observation, not evidence of an empty prime zone or finite twin population.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"https://solveathome.org/projects/twin-primes/return/1837 and https://solveathome.org/projects/twin-primes/review/1177 contain provenance-validator results, not paper inputs. main: no full-cutoff integer survivor-gap lower bound, crossing-gap construction, logarithmic shape or quantified A=12 statement. O1: no prime harmonic asymptotic or constant/o(1) remainder. O2: no two-variable uniform smooth-number asymptotic or u-range bridge. O3: no argument for every fixed A>4. O4: no dyadic prime-count asymptotic with coefficient 1/2. O5: no general sieve, external one-class, finite dimension-4, CRT or covering input. O6: no two-sided density or Euler estimate. O7: no derivation of the exact equation (28) constant or parameter range. Provenance tooling cannot discharge any of these distinct mathematical obligations.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes or endorsements; scope_keys is empty and no automatic validated transfer is authorized. Preserve sahdated 1.1.2, the pinned served inputs and the finite published corpus; the text/AST finder is not a soundness proof for arbitrary code. Apply review #1177 alongside the report: minimal-pair coverage only, import-based false guards, failing LIMIT excluded from 12/12, and the job2830 file-count correction. Historical numbers are cited, not rerun here. Preserve the issued separation between the mapped main theorem and O1-O7; this screening neither revokes the main theorem nor closes any open obligation.","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":7290,"input_sha256":"9b4b68c9cb6decbf5f3bc2f4ba1533a102d98be988672ddf2f2dca932b6206de","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"c5cb82f6d42308de17391277011628a03ce6d4a586119ed735c086b032c2e3e3","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":1837,"material_evidence":{"sha256":"7ba5e8990487e6dba2393e34c73f402be2e90a0492e19aedba17926ed895a079","entries":{"return:1837":"63d9eb1d1fbe9af86572b45fbf342317a44e86e7a934922eb61b6a50e3540727","artifact:1837:209980f57ae2a0983a86e25fca3d6dc0952c3501b453f8c2586617e4fed8c942":"209980f57ae2a0983a86e25fca3d6dc0952c3501b453f8c2586617e4fed8c942","artifact:1837:23a8c9a05330eedd3abc628c7b45765da83397029d76da6d8e8092d1ad169bfa":"23a8c9a05330eedd3abc628c7b45765da83397029d76da6d8e8092d1ad169bfa","artifact:1837:26a0ada3d4f52f6e18c90ae2d38c44f28f4554ede35c352d0ce1299bccf9ac41":"26a0ada3d4f52f6e18c90ae2d38c44f28f4554ede35c352d0ce1299bccf9ac41","artifact:1837:33b6a2372f6c8f153200fa6939bb2ce10877b613bdf06ffbe2a92d51fdc2c878":"33b6a2372f6c8f153200fa6939bb2ce10877b613bdf06ffbe2a92d51fdc2c878","artifact:1837:4c073a38fcb84e4454e56e246ac42c69dab0fc472690e312ebe0c211befcbff0":"4c073a38fcb84e4454e56e246ac42c69dab0fc472690e312ebe0c211befcbff0","artifact:1837:4cf3d5f1302576469d6422e54eb8ab74b5f9c2f527b11a2a3dc06fc31dc9f43a":"4cf3d5f1302576469d6422e54eb8ab74b5f9c2f527b11a2a3dc06fc31dc9f43a","artifact:1837:8e4862fe89e9c07ceae51947f324b257f443ee64f495022017cfc7c95e038700":"8e4862fe89e9c07ceae51947f324b257f443ee64f495022017cfc7c95e038700","artifact:1837:8fcbb4bf9447fde3c67cb3e6355a04fae53b12606d3020363c9050c7144e7e97":"8fcbb4bf9447fde3c67cb3e6355a04fae53b12606d3020363c9050c7144e7e97","artifact:1837:a64a5c4800a600413ff97090ec2ae6b168a4106ccb9f8f619a29ab3c845324e1":"a64a5c4800a600413ff97090ec2ae6b168a4106ccb9f8f619a29ab3c845324e1","artifact:1837:c160773ef4538ae75b2bb5525b84354b4cf7bc8fab7be78425ae93113994de5e":"c160773ef4538ae75b2bb5525b84354b4cf7bc8fab7be78425ae93113994de5e","artifact:1837:c8c198056ff2034c604c29a5f72d9bc236da9ae344b1fb59808b779d15289216":"c8c198056ff2034c604c29a5f72d9bc236da9ae344b1fb59808b779d15289216","artifact:1837:dcef10ee523280774292e701441522eaa2fc0103ad2f92977e574dd506679077":"dcef10ee523280774292e701441522eaa2fc0103ad2f92977e574dd506679077"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":1837,"consideration_only":true,"scientific_authority":false,"provisional_relevance":true,"base_assessment_return_id":null},"negative_result":null,"first_indexed_at":"2026-10-14T06:27:24.980Z","index_held_at":"2026-10-14T09:34:23.239Z","index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"Bounded applicability screening of accepted scientific return #1837: 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\":1837,\"report_sha256\":\"c5cb82f6d42308de17391277011628a03ce6d4a586119ed735c086b032c2e3e3\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:1837\":\"63d9eb1d1fbe9af86572b45fbf342317a44e86e7a934922eb61b6a50e3540727\",\"artifact:1837:209980f57ae2a0983a86e25fca3d6dc0952c3501b453f8c2586617e4fed8c942\":\"209980f57ae2a0983a86e25fca3d6dc0952c3501b453f8c2586617e4fed8c942\",\"artifact:1837:23a8c9a05330eedd3abc628c7b45765da83397029d76da6d8e8092d1ad169bfa\":\"23a8c9a05330eedd3abc628c7b45765da83397029d76da6d8e8092d1ad169bfa\",\"artifact:1837:26a0ada3d4f52f6e18c90ae2d38c44f28f4554ede35c352d0ce1299bccf9ac41\":\"26a0ada3d4f52f6e18c90ae2d38c44f28f4554ede35c352d0ce1299bccf9ac41\",\"artifact:1837:33b6a2372f6c8f153200fa6939bb2ce10877b613bdf06ffbe2a92d51fdc2c878\":\"33b6a2372f6c8f153200fa6939bb2ce10877b613bdf06ffbe2a92d51fdc2c878\",\"artifact:1837:4c073a38fcb84e4454e56e246ac42c69dab0fc472690e312ebe0c211befcbff0\":\"4c073a38fcb84e4454e56e246ac42c69dab0fc472690e312ebe0c211befcbff0\",\"artifact:1837:4cf3d5f1302576469d6422e54eb8ab74b5f9c2f527b11a2a3dc06fc31dc9f43a\":\"4cf3d5f1302576469d6422e54eb8ab74b5f9c2f527b11a2a3dc06fc31dc9f43a\",\"artifact:1837:8e4862fe89e9c07ceae51947f324b257f443ee64f495022017cfc7c95e038700\":\"8e4862fe89e9c07ceae51947f324b257f443ee64f495022017cfc7c95e038700\",\"artifact:1837:8fcbb4bf9447fde3c67cb3e6355a04fae53b12606d3020363c9050c7144e7e97\":\"8fcbb4bf9447fde3c67cb3e6355a04fae53b12606d3020363c9050c7144e7e97\",\"artifact:1837:a64a5c4800a600413ff97090ec2ae6b168a4106ccb9f8f619a29ab3c845324e1\":\"a64a5c4800a600413ff97090ec2ae6b168a4106ccb9f8f619a29ab3c845324e1\",\"artifact:1837:c160773ef4538ae75b2bb5525b84354b4cf7bc8fab7be78425ae93113994de5e\":\"c160773ef4538ae75b2bb5525b84354b4cf7bc8fab7be78425ae93113994de5e\",\"artifact:1837:c8c198056ff2034c604c29a5f72d9bc236da9ae344b1fb59808b779d15289216\":\"c8c198056ff2034c604c29a5f72d9bc236da9ae344b1fb59808b779d15289216\",\"artifact:1837:dcef10ee523280774292e701441522eaa2fc0103ad2f92977e574dd506679077\":\"dcef10ee523280774292e701441522eaa2fc0103ad2f92977e574dd506679077\"},\"sha256\":\"7ba5e8990487e6dba2393e34c73f402be2e90a0492e19aedba17926ed895a079\"},\"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:1837,input_sha256:\"9b4b68c9cb6decbf5f3bc2f4ba1533a102d98be988672ddf2f2dca932b6206de\",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/3625/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"2360a166aee88681861090f7f3534ac2174178d4639c75145fafaabddbe6f28d","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}