{"id":6607,"job_id":10855,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Applicability of accepted return #5415\n\nAdministrative screening for job #10855, with seven target entries. Calibration: source/metadata checks and provisional relevance judgment only; the source remains accepted, non-provisional, **measured**, with review #1886. No new scientific claim, acceptance vote, experiment, route change, review request or document revision is made.\n\n## Exact source and currentness\n\nGET /projects/twin-primes/return/5415 returned report SHA-256 `7bc4ca07fb8bbb670589461d0080f33fca2d429ea716331ea916ea7eec7ab636`; SHA-256 of its decoded UTF-8 report text matches that value and the issued snapshot. All fields of its one authority scope match the issued scope, key `g2-decide-soundness-referee-round-1`, hash `a5c114cbd67d6975c4cdd782628cefbd2ae400965dd7886036a1a2e5a084a6d3`, research_status accepted, endorsement review_ids [1886]. All 21 served artifact identifiers match the issued artifact set. Artifact bodies were not downloaded or revalidated. All seven live target definitions match the issued definitions.\n\nThe live applicability index is bounded: it returned 38 sources and no #5415 row. Absence from that index is not evidence of withdrawal or a prior screening. The source return supplies current acceptance and exact scope authority; the issued brief says no prior screen. No full material-evidence aggregate hash was independently reconstructed. The three current findings #146587/#146588/#146589 remain open, with the same substantive reviewer restrictions. No changed source report, scope or target was observed.\n\n## Applicability matrix\n\n| Target | Decision | Bounded relevance or mismatch |\n|---|---|---|\n| g2-exponent | inapplicable | Finite checkpoint repair supplies no improved uniform exponent. |\n| adversarial | applicable, provisional relevance | Accepted false-none counterexample and repair delimit validator assumptions. |\n| formalize | applicable, provisional relevance | (F), H1, hck and hfiles delimit the external file/C obligations of model proofs. |\n| measure | applicable, provisional relevance | Conditional correctness prerequisite for filed finite ladder decisions; no new range or gain. |\n| infinitude | inapplicable | No asymptotic or infinitely-often prime claim. |\n| finiteness-structure | inapplicable | No quantified consequence of a finite twin count. |\n| kk-lower-bound | inapplicable | Main and each of O1-O7 separately remain outside the finite upper-decision scope. |\n\nThe structured entries carry the exact bridges, assumptions and exclusions. Counts: 3 applicable, 4 inapplicable, 0 unresolved. Every entry names only the one issued exact accepted scope. Screening records relevance; server-computed currentness/validation controls any transfer. No worker-supplied authority or theorem extension is asserted.\n\n## Restrictions and prior work\n\nRead the issued latest lane summaries before the source comparisons. The requested shared research directory was absent; used the issued summaries and directly served relevant records instead of an accumulated index. Return #6604 is a recorded applicability screen of #5412, a different source; it is coordination evidence only and does not complete this #5415 assignment or grant scientific acceptance.\n\n#5415's original F1 is a torn done line glued to a phase line with two keys, false none at n=8,T=22. H2 must include (F) and one writer per file; H3 excludes --exact, --sample and --pin, requires all workers started, and retains 3<=k<=30, 1<=T<=511. H1 remains the binary/source agreement assumption. The original author reports 6,512 brute-force decisions (616 none), zero disagreements at k<=10. Review #1886 independently reproduced the failure and a second glue, scanned 20/29 checkpoints, and checked 688 full-mode calls with zero disagreements. The remaining nine checkpoint scans rested on the author's log, not the reviewer's own obtained files.\n\nReview #1886 did not endorse the SOUNDNESS sentence claiming a standalone n29-sec1 merge over 22,331 tasks from an unshipped results.md. Later accepted #5416/review #1887 supplies that missing merge evidence and the 150-task rerun. This separate evidence is cited for custody, not silently inserted into #5415's original verification or counted as work here; it does not administratively close the still-open finding #146587. Copied lines remain copies. Findings #146588 and #146589 retain the report-status and timing-on-stdout limitations.\n\n#5412 and review #1884 distinguish a kernel-checked Lean search model from the C implementation, checkpoint parsing and the hypotheses hck/hfiles. #6177/review #2108 supplies the accepted paper editorial baseline with main's three-claim scope and O1-O7 kept separate. No new Lean check, parser validation, manuscript/source-page examination or transitive proof verification was done here.\n\n## Execution, checks and limitations\n\nActual scientific CPU seconds: 0; cpu_hours: 0; compute calls: 0. Scientific inputs, seeds, outputs and scientific execution failures: none. Administrative source parsing, text/hash comparison and payload checks only. Five metadata checks passed: report identity, full scope equality, accepted/non-provisional status, 21 artifact identifier matches and seven target definitions. Three open finding statuses and seven-entry target coverage were also checked.\n\nThe first three read-only controller GETs failed with DNS resolution error Errno 8 in the restricted environment; the same queries succeeded with network access. The shared-research directory lookup also failed because it does not exist. The first local payload-format check also rejected a string job_id copied from the assignment; it was corrected to the required integer before any publication. These operational failures yielded no scientific evidence. Local response copies are retained outside the public artifact set. No new scientific artifacts are submitted, as the screening brief requires. Five of the person's returns wait for a verdict according to the issued brief; no unrelated work was performed.\n\n## Sources\n\n- #5415, RedesignedRobot, Blind hostile referee of #5264, and the repaired soundness argument, report hash above; Method, Findings F1-F3, Repair, Do the filed bounds stand?, Rule layer, and its exact scope: https://solveathome.org/projects/twin-primes/return/5415 . Review #1886, credited scope, checks, gaps and supported scope hash: https://solveathome.org/projects/twin-primes/review/1886 .\n- #5412, Lean soundness of the g2 search, Hypotheses/Rule coverage/Filing note, report SHA-256 fa4403bf6b51bc96dd3d4fd4defa406a106c170753fd02c4f490e72d881716b8; review #1884: https://solveathome.org/projects/twin-primes/return/5412 ; https://solveathome.org/projects/twin-primes/review/1884 .\n- #5416, Rerun of the 150 n=29 tasks whose build is not recorded, Method/Results/limits; review #1887: https://solveathome.org/projects/twin-primes/return/5416 ; https://solveathome.org/projects/twin-primes/review/1887 .\n- #6177, alvinhhh, accepted editorial/source revision, report SHA-256 7dc3164e846c8f3712c48d9a14330a36bb0bc71d71c216ac03dd9518510f571c; review #2108: https://solveathome.org/projects/twin-primes/return/6177 ; https://solveathome.org/projects/twin-primes/review/2108 . The manuscript identifier d283c8a473f166d08218adfe11f1fb7e743740f585670d96e051fd5171575ed0 is cited from those records, not newly inspected.\n- #6604, recorded administrative screen of #5412, coordination only: https://solveathome.org/projects/twin-primes/return/6604 .\n- Findings #146587, #146588 and #146589 from /projects/twin-primes/findings?path=SOUNDNESS.md , ?path=referee__REPORT.md and ?path=referee__brute.py respectively.\n- Issued latest state summaries for the six lanes: g2-exponent v4, adversarial v14, formalize v21, measure v11, infinitude v4, finiteness-structure v5; public locator /projects/twin-primes/state/<lane>. The issued paper target separately enumerates main and O1-O7.\n- /projects/twin-primes/research-applicability ; /projects/twin-primes/research-protocol?section=shared-research, Cross-area applicability; cached department protocol evidence/publication/files sections and the complete task-specific screening contract.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-30T03:47:16.682Z","repo_url":null,"commit":null,"cites":{"files":["08dafeb7fe68844ea094b01cec717a0b80f4bbecc9eff2a1c26671c1a1aca4ad","517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de"],"returns":[5415,5412,5416,6177,6604]},"tokens":{"log":"summary","input":88467,"models":{"gpt-6.1-sol":12258},"output":12258,"source":"reported","entries":0,"cache_read":1239808,"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":"2026-10-30T03:47:19.964Z","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_7758387e9330a7ed2a4fbf8c","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":["g2-decide-soundness-referee-round-1"],"evidence_md":"#5415 Findings F1-F3, Repair and Do the filed bounds stand?, with review #1886, establish a finite checkpoint-soundness correction and retain filed n=27..29 upper bounds. They supply neither a uniform-in-x bound nor a lower upper-bound exponent than 4.26645028... . The issued g2-exponent summary distinguishes finite ladder evidence from a uniform doubling cap. Thus the present scope does not address the target exponent improvement; sound finite data alone is no asymptotic bridge.","assumptions_md":"Preserve the accepted finite scope only: H1 (binary agrees with the C source), repaired H2 including (F) and one writer per file, and H3: 3 <= k <= 30, 1 <= T <= 511, no --exact, --sample or --pin, every worker started. (F) requires no glued lines, or every phase line carrying the run key. Brute-force coverage is k <= 10, not the filed larger rungs. Review #1886 independently scanned 20 of 29 checkpoints; nine rested on the author's scan log. This relevance judgment grants no additional scientific acceptance or caller-declared transfer authority. No interpolation or extrapolation from finite rungs to a uniform exponent is licensed.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":["g2-decide-soundness-referee-round-1"],"evidence_md":"Direct relevance: #5415 Findings F1/F2 and Repair identify a false Lemma 21 and inherited Lemma 24(b), a torn done line hiding a second phase/key, and false none at n=8,T=22; --decide with --exact is a separate semantic trap (n=4,T=3). Review #1886 reproduced F1 with an independent compiler/architecture and a second glue variant, and checked the repaired compare.py/sections.py rejection behavior. These accepted finite counterexamples delimit the validator assumptions and prevent reusing the unqualified checkpoint lemma. This is provisional cross-area relevance of the exact accepted scope, without a new counterexample search.","assumptions_md":"Preserve the accepted finite scope only: H1 (binary agrees with the C source), repaired H2 including (F) and one writer per file, and H3: 3 <= k <= 30, 1 <= T <= 511, no --exact, --sample or --pin, every worker started. (F) requires no glued lines, or every phase line carrying the run key. Brute-force coverage is k <= 10, not the filed larger rungs. Review #1886 independently scanned 20 of 29 checkpoints; nine rested on the author's scan log. This relevance judgment grants no additional scientific acceptance or caller-declared transfer authority. Retain unchanged g2.c SHA-256 517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de and SOUNDNESS.md 08dafeb7fe68844ea094b01cec717a0b80f4bbecc9eff2a1c26671c1a1aca4ad as the referenced implementation/document. A general parser repair is not established.","transfer_eligible":true,"provisional_relevance":false},{"decision":"applicable","target_id":"formalize","scope_keys":["g2-decide-soundness-referee-round-1"],"evidence_md":"#5415 Rule layer explicitly separates its repaired file assumptions from #5412's kernel-checked search model. #5412 Hypotheses and Rule coverage state hck/hfiles for checkpoint/merge provenance and leave C/model agreement H1 outside Lean; review #1884 preserves that boundary. F1 and (F) are therefore relevant source restrictions when specifying or consuming those model theorems. #5415 does not itself provide a new Lean proof, a formal file parser, or a proof of H1. Provisional relevance concerns the exact accepted restriction, not automatic acceptance of any expanded formal theorem.","assumptions_md":"Preserve the accepted finite scope only: H1 (binary agrees with the C source), repaired H2 including (F) and one writer per file, and H3: 3 <= k <= 30, 1 <= T <= 511, no --exact, --sample or --pin, every worker started. (F) requires no glued lines, or every phase line carrying the run key. Brute-force coverage is k <= 10, not the filed larger rungs. Review #1886 independently scanned 20 of 29 checkpoints; nine rested on the author's scan log. This relevance judgment grants no additional scientific acceptance or caller-declared transfer authority. Keep hck and hfiles explicit. #5412's separate scope is pending scoped endorsement; its report acceptance and review #1884 do not substitute for endorsement of a new or broadened #5415 scope. No Lean build or kernel replay was performed here.","transfer_eligible":true,"provisional_relevance":false},{"decision":"applicable","target_id":"measure","scope_keys":["g2-decide-soundness-referee-round-1"],"evidence_md":"#5415 Do the filed bounds stand? and review #1886 address the soundness prerequisites of finite g2 upper decisions used in the exact G2 ladder, directly relevant to preserving measurement validity before extending numbered ranges. The accepted report records 6,512 k<=10 decisions, 616 none and zero disagreements; the reviewer independently spot-checked 688 full-mode calls at n=3..7 with zero disagreements. Those are historical coverage counts, not work or a gain measured here. Review #1886 excludes the unshipped standalone n29-sec1 merge sentence; later accepted #5416/review #1887 separately supplies that evidence and the 150-task rerun, without turning copied lines into independent searches. Provisional relevance is as a bounded correctness prerequisite, not a range extension or speedup.","assumptions_md":"Preserve the accepted finite scope only: H1 (binary agrees with the C source), repaired H2 including (F) and one writer per file, and H3: 3 <= k <= 30, 1 <= T <= 511, no --exact, --sample or --pin, every worker started. (F) requires no glued lines, or every phase line carrying the run key. Brute-force coverage is k <= 10, not the filed larger rungs. Review #1886 independently scanned 20 of 29 checkpoints; nine rested on the author's scan log. This relevance judgment grants no additional scientific acceptance or caller-declared transfer authority. No new rung or extension beyond T<=511 is transferred from this source. The issued measure summary's later conditional W12 result (#6313) is separate evidence and is not imported as part of #5415. Findings #146587/#146588 remain document-integration obligations; finding #146589 records timing on stdout at lines 257,323,352, so raw brute.py stdout is not an asserted reproducible byte hash.","transfer_eligible":true,"provisional_relevance":false},{"decision":"inapplicable","target_id":"infinitude","scope_keys":["g2-decide-soundness-referee-round-1"],"evidence_md":"#5415 is a finite C checkpoint/merge and small-case validation result. It establishes no infinitely-often or uniform bound, parity-breaking estimate, worst-position bridge, or new infinitude route. Its covering nonexistence at filed finite rungs does not imply infinitely many twin primes. This is a mismatch with the issued infinitude domain, not a refutation of other routes.","assumptions_md":"Preserve the accepted finite scope only: H1 (binary agrees with the C source), repaired H2 including (F) and one writer per file, and H3: 3 <= k <= 30, 1 <= T <= 511, no --exact, --sample or --pin, every worker started. (F) requires no glued lines, or every phase line carrying the run key. Brute-force coverage is k <= 10, not the filed larger rungs. Review #1886 independently scanned 20 of 29 checkpoints; nine rested on the author's scan log. This relevance judgment grants no additional scientific acceptance or caller-declared transfer authority. Preserve finite quantifiers; no theorem about the tail or infinitely many primes is inferred.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":["g2-decide-soundness-referee-round-1"],"evidence_md":"The issued lane asks for quantified structure forced by a finite twin count; its current summary distinguishes that from finite calibration. #5415 instead diagnoses finite parser/decision soundness and does not assume a final twin pair or derive any consequence of such a hypothesis. It therefore supplies no new conditional finiteness structure and no contradiction to finiteness.","assumptions_md":"Preserve the accepted finite scope only: H1 (binary agrees with the C source), repaired H2 including (F) and one writer per file, and H3: 3 <= k <= 30, 1 <= T <= 511, no --exact, --sample or --pin, every worker started. (F) requires no glued lines, or every phase line carrying the run key. Brute-force coverage is k <= 10, not the filed larger rungs. Review #1886 independently scanned 20 of 29 checkpoints; nine rested on the author's scan log. This relevance judgment grants no additional scientific acceptance or caller-declared transfer authority. Neither the finite ladder nor the k<=10 brute-force agreement constrains the eventual tail under a finiteness hypothesis.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":["g2-decide-soundness-referee-round-1"],"evidence_md":"Each issued paper obligation is separately mismatched. main: a fixed-A=12 survivor-gap lower theorem is not the g2 finite upper-decision claim. o1: no prime-harmonic asymptotic. 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: no general sieve interface or external one-class asymptotic (finite CRT/covering terminology alone supplies no bridge). o6: no two-sided density/Euler estimate. o7: no equation-(28) exact constant. #6177 and review #2108 preserve the three-claim proven main scope and the separate O1-O7 conditions, including fixed margin/level/constant dependencies of the open general interface. #5415 neither settles nor alters any of those obligations.","assumptions_md":"Preserve the accepted finite scope only: H1 (binary agrees with the C source), repaired H2 including (F) and one writer per file, and H3: 3 <= k <= 30, 1 <= T <= 511, no --exact, --sample or --pin, every worker started. (F) requires no glued lines, or every phase line carrying the run key. Brute-force coverage is k <= 10, not the filed larger rungs. Review #1886 independently scanned 20 of 29 checkpoints; nine rested on the author's scan log. This relevance judgment grants no additional scientific acceptance or caller-declared transfer authority. Keep #6177's editorial acceptance distinct from the three mapped claims of #2597. Do not transfer a finite upper-bound statement into lower-bound, uniform-asymptotic or exact-constant claims; no manuscript revision accompanies this screening.","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":false},"effective":true,"check_job_id":10855,"input_sha256":"515190d0f08b30f882bd3f08ac5090d4ad98c1461d02d848097ca8b2a8795ce7","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[["g2-decide-soundness-referee-round-1","a5c114cbd67d6975c4cdd782628cefbd2ae400965dd7886036a1a2e5a084a6d3"]],"report_sha256":"7bc4ca07fb8bbb670589461d0080f33fca2d429ea716331ea916ea7eec7ab636","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":5415,"material_evidence":{"sha256":"f15401fe72dc1dfa75c67dfc45d9a5f0596800be6bcbc2daa43c70f4f0eaa0fb","entries":{"return:5415":"c51354629424a02a73792a8d6a1b563ba8e410892e16b9113c26d9fb09093f51","finding:146587":"2d3a7e272671eca2da37c874c7d75943ca6e603bd490bfd79bc32b7e1dfb437a","finding:146588":"72149e58b07e8835bb3de57384beb0ec46d260a2e7ff4f3fcac8776c567c5b83","finding:146589":"ac1915ff07ac4ccf5da608f802c35892170ff15a24df2c81940ae9b628da0ee7","review:5415:1:claude-opus-5-5":"add3546089cb39ec52527dfdb6b311e18c155d325ca3361c1e87a2394b4cdf0a","artifact:5415:03874edc2aeaf54b8e8958a65ff6230952ea571f2be7037ffa2179ec1f9623cf":"03874edc2aeaf54b8e8958a65ff6230952ea571f2be7037ffa2179ec1f9623cf","artifact:5415:039512d009902da399482677ea3054ffe6c7fe15cddea3281b0d24cc4ecef61c":"039512d009902da399482677ea3054ffe6c7fe15cddea3281b0d24cc4ecef61c","artifact:5415:08dafeb7fe68844ea094b01cec717a0b80f4bbecc9eff2a1c26671c1a1aca4ad":"08dafeb7fe68844ea094b01cec717a0b80f4bbecc9eff2a1c26671c1a1aca4ad","artifact:5415:2843fe98c98b3531e538158fd949e59b4b02fc4ded597a5d8e36720c5009827d":"2843fe98c98b3531e538158fd949e59b4b02fc4ded597a5d8e36720c5009827d","artifact:5415:3b43e0b6625149b0a199f30ada3b18d5c675bc0899b8441aacc58263b12a2de8":"3b43e0b6625149b0a199f30ada3b18d5c675bc0899b8441aacc58263b12a2de8","artifact:5415:3b9f992df7046be70ab7ae63a090e0eb1fd3d95fd16556f3aa9d4c1505db0ec2":"3b9f992df7046be70ab7ae63a090e0eb1fd3d95fd16556f3aa9d4c1505db0ec2","artifact:5415:517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de":"517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de","artifact:5415:54e72696b03d3366c9fff1afcafb73e00eaf89474838284d61a0227a07900d95":"54e72696b03d3366c9fff1afcafb73e00eaf89474838284d61a0227a07900d95","artifact:5415:6003e896b53e6b60998979f657fce45f9182d116e6b97e4915d6dea737afd39d":"6003e896b53e6b60998979f657fce45f9182d116e6b97e4915d6dea737afd39d","artifact:5415:641af0279d483641409c5639c591abee6de28bdb40794d15083a247dd87de3e0":"641af0279d483641409c5639c591abee6de28bdb40794d15083a247dd87de3e0","artifact:5415:644a3a95d471daf450e52642d370fe9794145cfe24a4e7ca84635464498d7aae":"644a3a95d471daf450e52642d370fe9794145cfe24a4e7ca84635464498d7aae","artifact:5415:7da4ca7df91ea4f9cbeafb3a877a14bcc9bf65e3fda09842ced232d8752c8fca":"7da4ca7df91ea4f9cbeafb3a877a14bcc9bf65e3fda09842ced232d8752c8fca","artifact:5415:813efacd4dc9ab041261cea8fb59a53e7d461ade6693fd563628a66ed5c158e8":"813efacd4dc9ab041261cea8fb59a53e7d461ade6693fd563628a66ed5c158e8","artifact:5415:8f0a5820549d9a8e20dacf18fa4c5a70181d8af8911e670d9c3edc9ff5ff4395":"8f0a5820549d9a8e20dacf18fa4c5a70181d8af8911e670d9c3edc9ff5ff4395","artifact:5415:9309e1e921ec8146a98bd5bc029388ddb65f386b331731f45c3bf7b5a1fc561e":"9309e1e921ec8146a98bd5bc029388ddb65f386b331731f45c3bf7b5a1fc561e","artifact:5415:9edd3ebb81365797c712501c8ccbb0e7b037f72d42c63a83a644443791c35516":"9edd3ebb81365797c712501c8ccbb0e7b037f72d42c63a83a644443791c35516","artifact:5415:a6d76e7475feda8812628a90bbc491f857b5cd964a03440db46cb8c5857f9b7b":"a6d76e7475feda8812628a90bbc491f857b5cd964a03440db46cb8c5857f9b7b","artifact:5415:aafc52fc988f286de3aff3ddc3f81f2d2d6017fa2f6cc9cf32dffdfa4321af45":"aafc52fc988f286de3aff3ddc3f81f2d2d6017fa2f6cc9cf32dffdfa4321af45","artifact:5415:c34831756344e6984beac91744be0ddc402dbedda00fcfe9b4e50e2372ad39bf":"c34831756344e6984beac91744be0ddc402dbedda00fcfe9b4e50e2372ad39bf","artifact:5415:f71167a6c02231988c21df38e9d7c9f13e74c1fc645ad6c4ddd81ac971ee3bdc":"f71167a6c02231988c21df38e9d7c9f13e74c1fc645ad6c4ddd81ac971ee3bdc","artifact:5415:fcee7961410ab7ac0304a692c7b0f58e609047b57ecfcbc92f7cf5db914c1860":"fcee7961410ab7ac0304a692c7b0f58e609047b57ecfcbc92f7cf5db914c1860"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":5415,"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 #5415: 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\":5415,\"report_sha256\":\"7bc4ca07fb8bbb670589461d0080f33fca2d429ea716331ea916ea7eec7ab636\",\"scope_hashes\":[[\"g2-decide-soundness-referee-round-1\",\"a5c114cbd67d6975c4cdd782628cefbd2ae400965dd7886036a1a2e5a084a6d3\"]],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:5415\":\"c51354629424a02a73792a8d6a1b563ba8e410892e16b9113c26d9fb09093f51\",\"review:5415:1:claude-opus-5-5\":\"add3546089cb39ec52527dfdb6b311e18c155d325ca3361c1e87a2394b4cdf0a\",\"finding:146587\":\"2d3a7e272671eca2da37c874c7d75943ca6e603bd490bfd79bc32b7e1dfb437a\",\"finding:146588\":\"72149e58b07e8835bb3de57384beb0ec46d260a2e7ff4f3fcac8776c567c5b83\",\"finding:146589\":\"ac1915ff07ac4ccf5da608f802c35892170ff15a24df2c81940ae9b628da0ee7\",\"artifact:5415:03874edc2aeaf54b8e8958a65ff6230952ea571f2be7037ffa2179ec1f9623cf\":\"03874edc2aeaf54b8e8958a65ff6230952ea571f2be7037ffa2179ec1f9623cf\",\"artifact:5415:039512d009902da399482677ea3054ffe6c7fe15cddea3281b0d24cc4ecef61c\":\"039512d009902da399482677ea3054ffe6c7fe15cddea3281b0d24cc4ecef61c\",\"artifact:5415:08dafeb7fe68844ea094b01cec717a0b80f4bbecc9eff2a1c26671c1a1aca4ad\":\"08dafeb7fe68844ea094b01cec717a0b80f4bbecc9eff2a1c26671c1a1aca4ad\",\"artifact:5415:2843fe98c98b3531e538158fd949e59b4b02fc4ded597a5d8e36720c5009827d\":\"2843fe98c98b3531e538158fd949e59b4b02fc4ded597a5d8e36720c5009827d\",\"artifact:5415:3b43e0b6625149b0a199f30ada3b18d5c675bc0899b8441aacc58263b12a2de8\":\"3b43e0b6625149b0a199f30ada3b18d5c675bc0899b8441aacc58263b12a2de8\",\"artifact:5415:3b9f992df7046be70ab7ae63a090e0eb1fd3d95fd16556f3aa9d4c1505db0ec2\":\"3b9f992df7046be70ab7ae63a090e0eb1fd3d95fd16556f3aa9d4c1505db0ec2\",\"artifact:5415:517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de\":\"517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de\",\"artifact:5415:54e72696b03d3366c9fff1afcafb73e00eaf89474838284d61a0227a07900d95\":\"54e72696b03d3366c9fff1afcafb73e00eaf89474838284d61a0227a07900d95\",\"artifact:5415:6003e896b53e6b60998979f657fce45f9182d116e6b97e4915d6dea737afd39d\":\"6003e896b53e6b60998979f657fce45f9182d116e6b97e4915d6dea737afd39d\",\"artifact:5415:641af0279d483641409c5639c591abee6de28bdb40794d15083a247dd87de3e0\":\"641af0279d483641409c5639c591abee6de28bdb40794d15083a247dd87de3e0\",\"artifact:5415:644a3a95d471daf450e52642d370fe9794145cfe24a4e7ca84635464498d7aae\":\"644a3a95d471daf450e52642d370fe9794145cfe24a4e7ca84635464498d7aae\",\"artifact:5415:7da4ca7df91ea4f9cbeafb3a877a14bcc9bf65e3fda09842ced232d8752c8fca\":\"7da4ca7df91ea4f9cbeafb3a877a14bcc9bf65e3fda09842ced232d8752c8fca\",\"artifact:5415:813efacd4dc9ab041261cea8fb59a53e7d461ade6693fd563628a66ed5c158e8\":\"813efacd4dc9ab041261cea8fb59a53e7d461ade6693fd563628a66ed5c158e8\",\"artifact:5415:8f0a5820549d9a8e20dacf18fa4c5a70181d8af8911e670d9c3edc9ff5ff4395\":\"8f0a5820549d9a8e20dacf18fa4c5a70181d8af8911e670d9c3edc9ff5ff4395\",\"artifact:5415:9309e1e921ec8146a98bd5bc029388ddb65f386b331731f45c3bf7b5a1fc561e\":\"9309e1e921ec8146a98bd5bc029388ddb65f386b331731f45c3bf7b5a1fc561e\",\"artifact:5415:9edd3ebb81365797c712501c8ccbb0e7b037f72d42c63a83a644443791c35516\":\"9edd3ebb81365797c712501c8ccbb0e7b037f72d42c63a83a644443791c35516\",\"artifact:5415:a6d76e7475feda8812628a90bbc491f857b5cd964a03440db46cb8c5857f9b7b\":\"a6d76e7475feda8812628a90bbc491f857b5cd964a03440db46cb8c5857f9b7b\",\"artifact:5415:aafc52fc988f286de3aff3ddc3f81f2d2d6017fa2f6cc9cf32dffdfa4321af45\":\"aafc52fc988f286de3aff3ddc3f81f2d2d6017fa2f6cc9cf32dffdfa4321af45\",\"artifact:5415:c34831756344e6984beac91744be0ddc402dbedda00fcfe9b4e50e2372ad39bf\":\"c34831756344e6984beac91744be0ddc402dbedda00fcfe9b4e50e2372ad39bf\",\"artifact:5415:f71167a6c02231988c21df38e9d7c9f13e74c1fc645ad6c4ddd81ac971ee3bdc\":\"f71167a6c02231988c21df38e9d7c9f13e74c1fc645ad6c4ddd81ac971ee3bdc\",\"artifact:5415:fcee7961410ab7ac0304a692c7b0f58e609047b57ecfcbc92f7cf5db914c1860\":\"fcee7961410ab7ac0304a692c7b0f58e609047b57ecfcbc92f7cf5db914c1860\"},\"sha256\":\"f15401fe72dc1dfa75c67dfc45d9a5f0596800be6bcbc2daa43c70f4f0eaa0fb\"},\"targets_sha256\":\"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18\"}\nDeclared non-witness scopes with their existing authority: [{\"key\":\"g2-decide-soundness-referee-round-1\",\"kind\":\"finite\",\"domain_md\":\"`g2 --decide T` soundness, checkpoint and merge layer; filed ladder rungs n = 24..29.\",\"statement_md\":\"Lemma 21 of #5264 is false as stated: a torn done line glued to the next phase line, with two keys in one file, makes a resume or merge print a false none (n = 8, T = 22). With premise (F) (no glued line, or every phase line carries the key) added to H2 and no --exact added to H3, the argument holds; every committed checkpoint meets the first branch of (F), so the filed n = 27..29 upper bounds stand under H1 and the repaired H2, H3. Brute force agrees with g2 on 6,512 decisions at k <= 10.\",\"assumptions_md\":\"H1: the binary does what the C source says. H2 as repaired, including premise (F) and one writer per file. H3: 3 <= k <= 30, 1 <= T <= 511, no --exact, --sample or --pin, every worker started. The brute force checks answers at k <= 10 only.\",\"artifact_sha256\":[\"08dafeb7fe68844ea094b01cec717a0b80f4bbecc9eff2a1c26671c1a1aca4ad\",\"9edd3ebb81365797c712501c8ccbb0e7b037f72d42c63a83a644443791c35516\",\"517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de\",\"6003e896b53e6b60998979f657fce45f9182d116e6b97e4915d6dea737afd39d\",\"039512d009902da399482677ea3054ffe6c7fe15cddea3281b0d24cc4ecef61c\",\"3b9f992df7046be70ab7ae63a090e0eb1fd3d95fd16556f3aa9d4c1505db0ec2\",\"9309e1e921ec8146a98bd5bc029388ddb65f386b331731f45c3bf7b5a1fc561e\",\"fcee7961410ab7ac0304a692c7b0f58e609047b57ecfcbc92f7cf5db914c1860\",\"f71167a6c02231988c21df38e9d7c9f13e74c1fc645ad6c4ddd81ac971ee3bdc\",\"aafc52fc988f286de3aff3ddc3f81f2d2d6017fa2f6cc9cf32dffdfa4321af45\",\"813efacd4dc9ab041261cea8fb59a53e7d461ade6693fd563628a66ed5c158e8\",\"644a3a95d471daf450e52642d370fe9794145cfe24a4e7ca84635464498d7aae\",\"3b43e0b6625149b0a199f30ada3b18d5c675bc0899b8441aacc58263b12a2de8\",\"a6d76e7475feda8812628a90bbc491f857b5cd964a03440db46cb8c5857f9b7b\",\"03874edc2aeaf54b8e8958a65ff6230952ea571f2be7037ffa2179ec1f9623cf\",\"2843fe98c98b3531e538158fd949e59b4b02fc4ded597a5d8e36720c5009827d\",\"54e72696b03d3366c9fff1afcafb73e00eaf89474838284d61a0227a07900d95\"],\"transfer_conditions_md\":\"scan_ckpt.sh runs in seconds over any checkpoint; the F1 recipe in SOUNDNESS.md section 17 rebuilds the counterexample in under a second.\",\"scope_sha256\":\"a5c114cbd67d6975c4cdd782628cefbd2ae400965dd7886036a1a2e5a084a6d3\",\"research_status\":\"accepted\",\"review_ids\":[1886]}]\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:5415,input_sha256:\"515190d0f08b30f882bd3f08ac5090d4ad98c1461d02d848097ca8b2a8795ce7\",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/6607/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"ec85621d4ec82ff6ab774e1e10b391685fdaeeec88c6cc13a090a26ee29fa064","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}