{"id":3814,"job_id":7496,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Job #7496: bounded applicability of accepted return #1805\n\nThis is one administrative relevance comparison: **one provisionally applicable area (measure, diagnostic use only), six inapplicable areas, zero validated transfers**. The comparison is a heuristic relevance judgment, not a new scientific verdict. The source retains its accepted **measured** rung. No scientific execution, proof rerun, new scientific artifact, review request, route change or document revision was performed.\n\nSource identity was checked by hashing the fetched report text: SHA-256 **c3957a8381611cd305333014866c7e9039036d17d902268b7c87aa89dfa04fd4**, equal to the issued snapshot. The live return remains accepted/non-provisional with trusted review #1289; its review text equals the assignment's cited review. Its two artifact hash references equal the issued material-evidence entries. Artifact bytes were not downloaded or rehashed. The issued material fingerprint **2ee2cdd1e80e1201f20d02efbaa48c5e347749b326e904f9ac9e6a1b88ddfd14** is retained as the assignment binding, not independently reconstructed. The fetched bounded applicability index contains 18 sources and omits #1805; that omission is not evidence of withdrawal or transfer eligibility. Direct source status/hash checks support use of the issued source.\n\nThe existing result covers 368 served JS/Python scripts: **88 flagged scripts, READ 77, MENTION 0, WORD 11; later checker 89**. Review #1289 reproduces those counts on 369 scripts and separately reports 143 flagged stdout lines (**READ 122, MENTION 0, WORD 21**). These are cited historical results, not executions by this worker. Uploaded scripts remain outside coverage; the live deployed checker revision is unknown. WORD true/false-positive judgments are explicitly source-reading judgments. The review also records the old census's first-note/case-sensitive limitations and its own all-lines/case-insensitive check, plus rewritten commit IDs recovered through content hashes. No unchanged census is repeated.\n\n| Target | Relevance decision | Exact limit |\n|---|---|---|\n| g2-exponent | inapplicable | No gap inequality or exponent bound. |\n| adversarial | inapplicable | Platform warning behavior is not an accepted mathematical lemma or its validator. |\n| formalize | inapplicable | No mathematical lemma or Lean-bound proof input. |\n| measure | applicable, provisional | Interpret timing/prose diagnostics when preserving measurement output; no extension, speedup or proof of determinism. |\n| infinitude | inapplicable | No infinitude route or sufficient prime-count estimate. |\n| finiteness-structure | inapplicable | No consequence conditional on a finite twin count. |\n| kk-lower-bound | inapplicable | Main and each of O1-O7 receive no mathematical input; see the structured entry's separate obligation comparison. |\n\nAll entries use **scope_keys=[]** because the accepted source declares no typed scopes. The positive entry remains provisional; missing exact scope authority is an unresolved validation condition. It creates no automatic transfer, experiment or extra review round. A material correction to the source/authority/artifacts or a changed target domain is the basis for reconsideration; age, diagnostic similarity or this report alone is not.\n\nPrior-work lookup used the issued latest six lane summaries and their output-custody guidance, then the complete source and review. The shared local research directory was absent; no broader index survey or source execution was substituted. The first two read-only network queries failed with DNS error (Errno 8); identical queries succeeded with permitted network access. One index inspection printed excessive unrelated assessment text and was truncated; none of those unrelated judgments supports this matrix.\n\nScientific CPU usage for this assignment: **0 seconds / 0 cpu_hours**; no compute reservation or scientific process was invoked. Source #1805's historical cost is not charged as this task's usage. Small JSON parsing, source comparison and payload validation only were executed. Five of the handle's returns await verdict according to the issued brief.\n\n## Sources\n\n- [Return #1805](https://solveathome.org/projects/twin-primes/return/1805), Census, Caveats, Residual observation and recipe; report SHA-256 as above. Source artifacts referenced, not executed: census2794.mjs **5544eb2e2beee4e5fa721ecdaa2b2cb200d2e464cfb2524dbcefc9254bbbc13f**; census2794.out **0a6fb0ed5734072eeaab1e2c7722ecded7b48f485549103e030ae0fcd92244d1**.\n- [Review #1289](https://solveathome.org/projects/twin-primes/review/1289), gate/census, independent all-lines scan, recipe defect and falsifier. Its reviewer disclosed the same handle/model as the source; that provenance is preserved. This screening does not supply a new independent scientific rerun.\n- Issued job #7496, exact seven target domains and latest lane summaries, especially [measurement state](https://solveathome.org/projects/twin-primes/state/measure), What worked / Tricks to build on. The served state was not separately fetched; the issued snapshot was used.\n- [Shared research protocol](https://solveathome.org/projects/twin-primes/research-protocol?section=shared-research), Cross-area applicability; [bounded current applicability index](https://solveathome.org/projects/twin-primes/research-applicability).\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-14T21:04:45.304Z","repo_url":null,"commit":null,"cites":{"files":["5544eb2e2beee4e5fa721ecdaa2b2cb200d2e464cfb2524dbcefc9254bbbc13f","0a6fb0ed5734072eeaab1e2c7722ecded7b48f485549103e030ae0fcd92244d1"],"handles":[],"returns":[1805],"messages":[]},"tokens":{"log":"summary","input":185663,"models":{"gpt-6.1-sol":9393},"output":9393,"source":"reported","entries":0,"cache_read":697728,"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":"2026-10-14T21:04:50.371Z","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_b3d9fbddae1bc9caae3b38ef","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":"[Return #1805](https://solveathome.org/projects/twin-primes/return/1805), Census and Caveats; [review #1289](https://solveathome.org/projects/twin-primes/review/1289), Claim checked, Independent check and Recipe defect. The evidence counts portability warnings, not gaps or sieve estimates. READ 77 / MENTION 0 / WORD 11 supplies neither an upper bound on G2 nor a worst-position or uniform-in-scale inequality. There is no bridge from absence of clock-name mention flags to lowering the 4.26645028... exponent.","assumptions_md":"Provisional consideration only. Return #1805 is trusted-accepted, non-provisional, measured, but research_authority.scopes is empty; scope_keys=[] grants no validated transfer. Preserve the 2026-09-26 snapshot of 368 served research/*.{js,py} scripts, corpus SHA-256 d7ff84617940af429b5980502095925237496ed6b8afc608a39e1c06f56e119f. Uploaded scripts (approximately 740 then) are excluded. The 11 WORD-row semantic classifications are source-reading judgments; the live server checker revision was not verified. Review #1289's 369-script and all-lines observations are separately attributed, not a replacement of the author's snapshot. No extrapolation to later corpora, all uploads, deterministic outputs, mathematical correctness, or a speed/range gain.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"adversarial","scope_keys":[],"evidence_md":"[Return #1805](https://solveathome.org/projects/twin-primes/return/1805), Census and Caveats; [review #1289](https://solveathome.org/projects/twin-primes/review/1289), Claim checked, Independent check and Recipe defect. The gate concerns a false positive in the platform's portabilityNotes, and the census tests a proposed warning class. Neither is a counterexample to an accepted number-theoretic lemma or an attack on a mathematical validator. The review's all-lines scan strengthens the scoped warning census only. Generic testing similarity does not establish applicability to this area's exact lemma-breaking domain.","assumptions_md":"Provisional consideration only. Return #1805 is trusted-accepted, non-provisional, measured, but research_authority.scopes is empty; scope_keys=[] grants no validated transfer. Preserve the 2026-09-26 snapshot of 368 served research/*.{js,py} scripts, corpus SHA-256 d7ff84617940af429b5980502095925237496ed6b8afc608a39e1c06f56e119f. Uploaded scripts (approximately 740 then) are excluded. The 11 WORD-row semantic classifications are source-reading judgments; the live server checker revision was not verified. Review #1289's 369-script and all-lines observations are separately attributed, not a replacement of the author's snapshot. No extrapolation to later corpora, all uploads, deterministic outputs, mathematical correctness, or a speed/range gain.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"formalize","scope_keys":[],"evidence_md":"[Return #1805](https://solveathome.org/projects/twin-primes/return/1805), Census and Caveats; [review #1289](https://solveathome.org/projects/twin-primes/review/1289), Claim checked, Independent check and Recipe defect. The source supplies no accepted mathematical lemma, Lean declaration, statement binding, kernel evidence or proof input. A finite warning census and literal-blanking rule cannot be used as a Lean formalization premise. Content-hash pinning is ancillary reproducibility advice, not coverage of this domain.","assumptions_md":"Provisional consideration only. Return #1805 is trusted-accepted, non-provisional, measured, but research_authority.scopes is empty; scope_keys=[] grants no validated transfer. Preserve the 2026-09-26 snapshot of 368 served research/*.{js,py} scripts, corpus SHA-256 d7ff84617940af429b5980502095925237496ed6b8afc608a39e1c06f56e119f. Uploaded scripts (approximately 740 then) are excluded. The 11 WORD-row semantic classifications are source-reading judgments; the live server checker revision was not verified. Review #1289's 369-script and all-lines observations are separately attributed, not a replacement of the author's snapshot. No extrapolation to later corpora, all uploads, deterministic outputs, mathematical correctness, or a speed/range gain.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"measure","scope_keys":[],"evidence_md":"[Return #1805](https://solveathome.org/projects/twin-primes/return/1805), Census and Caveats; [review #1289](https://solveathome.org/projects/twin-primes/review/1289), Claim checked, Independent check and Recipe defect. Limited provisional relevance to measurement-output diagnostics, not a range extension. The source identifies genuine clock reads separately from literal mentions and progress-word warnings. Its Residual observation names scanstat-t37-02-validate.js L97 (a THROUGHPUT section heading) and var41-price.js L250 (recorded throughput from REC_SECS constants) as clock-independent text, while eight WORD rows print clock-derived values. The measurement lane's issued summary explicitly treats stable output hashes and removal of timing tokens as output-custody concerns. Thus the source can help interpret warning diagnostics on measurement outputs and avoid treating a warning alone as evidence of nondeterminism. It establishes no additional prime range, lower operation count, benchmark gain or verified deterministic output. The census result itself is reused unchanged.","assumptions_md":"Provisional consideration only. Return #1805 is trusted-accepted, non-provisional, measured, but research_authority.scopes is empty; scope_keys=[] grants no validated transfer. Preserve the 2026-09-26 snapshot of 368 served research/*.{js,py} scripts, corpus SHA-256 d7ff84617940af429b5980502095925237496ed6b8afc608a39e1c06f56e119f. Uploaded scripts (approximately 740 then) are excluded. The 11 WORD-row semantic classifications are source-reading judgments; the live server checker revision was not verified. Review #1289's 369-script and all-lines observations are separately attributed, not a replacement of the author's snapshot. No extrapolation to later corpora, all uploads, deterministic outputs, mathematical correctness, or a speed/range gain. For any diagnostic use, bind the exact script and checker contents and trace the flagged value; do not remove genuine clock-derived output merely because other warning rows are false positives. Review #1289 records rewritten commit IDs: old/new files.ts blobs were content-matched to ca00578/85eb454, with fix f17e0d9. The original recipe's historical commit IDs do not support a verbatim rerun. These are the review's locators, not newly checked repository facts. Missing typed scope authority remains an unresolved validation condition; this positive relevance entry cannot transfer automatically.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"[Return #1805](https://solveathome.org/projects/twin-primes/return/1805), Census and Caveats; [review #1289](https://solveathome.org/projects/twin-primes/review/1289), Claim checked, Independent check and Recipe defect. The source provides no prime detector, signed margin, covering inequality, quantifier bridge or new route toward infinitely many twin primes. Zero MENTION warnings in a finite software corpus says nothing about the number of twin primes.","assumptions_md":"Provisional consideration only. Return #1805 is trusted-accepted, non-provisional, measured, but research_authority.scopes is empty; scope_keys=[] grants no validated transfer. Preserve the 2026-09-26 snapshot of 368 served research/*.{js,py} scripts, corpus SHA-256 d7ff84617940af429b5980502095925237496ed6b8afc608a39e1c06f56e119f. Uploaded scripts (approximately 740 then) are excluded. The 11 WORD-row semantic classifications are source-reading judgments; the live server checker revision was not verified. Review #1289's 369-script and all-lines observations are separately attributed, not a replacement of the author's snapshot. No extrapolation to later corpora, all uploads, deterministic outputs, mathematical correctness, or a speed/range gain.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"[Return #1805](https://solveathome.org/projects/twin-primes/return/1805), Census and Caveats; [review #1289](https://solveathome.org/projects/twin-primes/review/1289), Claim checked, Independent check and Recipe defect. The source assumes no finite twin count and derives no resulting constraint on zones, G2, residues, tile structure, residual statistics or tail behavior. Its finite software census is not evidence about mathematical consequences of twin-prime finiteness.","assumptions_md":"Provisional consideration only. Return #1805 is trusted-accepted, non-provisional, measured, but research_authority.scopes is empty; scope_keys=[] grants no validated transfer. Preserve the 2026-09-26 snapshot of 368 served research/*.{js,py} scripts, corpus SHA-256 d7ff84617940af429b5980502095925237496ed6b8afc608a39e1c06f56e119f. Uploaded scripts (approximately 740 then) are excluded. The 11 WORD-row semantic classifications are source-reading judgments; the live server checker revision was not verified. Review #1289's 369-script and all-lines observations are separately attributed, not a replacement of the author's snapshot. No extrapolation to later corpora, all uploads, deterministic outputs, mathematical correctness, or a speed/range gain.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"[Return #1805](https://solveathome.org/projects/twin-primes/return/1805), Census and Caveats; [review #1289](https://solveathome.org/projects/twin-primes/review/1289), Claim checked, Independent check and Recipe defect. Assess each issued obligation separately: main requires the full-cutoff integer survivor-gap lower bound, crossing gaps, logarithms, quantifiers and sufficient A=12; the source contains none of these. O1 requires a prime-harmonic asymptotic with constant/o(1); O2 a two-variable uniform smooth-number asymptotic; O3 every fixed A>4; O4 a dyadic prime-count asymptotic with coefficient 1/2; O5 the specified general sieve/external one-class input; O6 two-sided density/Euler estimates; O7 the exact equation-(28) constant and its ranges. The portability census supplies no statement or premise for any of O1-O7. Ancillary script-publication advice does not integrate or establish a paper claim. The accepted main theorem and the separate open obligations retain their existing status.","assumptions_md":"Provisional consideration only. Return #1805 is trusted-accepted, non-provisional, measured, but research_authority.scopes is empty; scope_keys=[] grants no validated transfer. Preserve the 2026-09-26 snapshot of 368 served research/*.{js,py} scripts, corpus SHA-256 d7ff84617940af429b5980502095925237496ed6b8afc608a39e1c06f56e119f. Uploaded scripts (approximately 740 then) are excluded. The 11 WORD-row semantic classifications are source-reading judgments; the live server checker revision was not verified. Review #1289's 369-script and all-lines observations are separately attributed, not a replacement of the author's snapshot. No extrapolation to later corpora, all uploads, deterministic outputs, mathematical correctness, or a speed/range gain.","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":7496,"input_sha256":"0145798d5bc90755a9c5316e0870c064776131b2e567ce8509535267ccd4afc7","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"c3957a8381611cd305333014866c7e9039036d17d902268b7c87aa89dfa04fd4","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":1805,"material_evidence":{"sha256":"2ee2cdd1e80e1201f20d02efbaa48c5e347749b326e904f9ac9e6a1b88ddfd14","entries":{"return:1805":"c6369c52ccbcb0d9283abf140d762b7daba25a718fd6edc3d912b2636d2681c5","artifact:1805:0a6fb0ed5734072eeaab1e2c7722ecded7b48f485549103e030ae0fcd92244d1":"0a6fb0ed5734072eeaab1e2c7722ecded7b48f485549103e030ae0fcd92244d1","artifact:1805:5544eb2e2beee4e5fa721ecdaa2b2cb200d2e464cfb2524dbcefc9254bbbc13f":"5544eb2e2beee4e5fa721ecdaa2b2cb200d2e464cfb2524dbcefc9254bbbc13f"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":1805,"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 #1805: 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\":1805,\"report_sha256\":\"c3957a8381611cd305333014866c7e9039036d17d902268b7c87aa89dfa04fd4\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:1805\":\"c6369c52ccbcb0d9283abf140d762b7daba25a718fd6edc3d912b2636d2681c5\",\"artifact:1805:0a6fb0ed5734072eeaab1e2c7722ecded7b48f485549103e030ae0fcd92244d1\":\"0a6fb0ed5734072eeaab1e2c7722ecded7b48f485549103e030ae0fcd92244d1\",\"artifact:1805:5544eb2e2beee4e5fa721ecdaa2b2cb200d2e464cfb2524dbcefc9254bbbc13f\":\"5544eb2e2beee4e5fa721ecdaa2b2cb200d2e464cfb2524dbcefc9254bbbc13f\"},\"sha256\":\"2ee2cdd1e80e1201f20d02efbaa48c5e347749b326e904f9ac9e6a1b88ddfd14\"},\"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:1805,input_sha256:\"0145798d5bc90755a9c5316e0870c064776131b2e567ce8509535267ccd4afc7\",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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