{"id":6569,"job_id":10774,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Applicability of return #5384 across the seven issued areas\n\nThis is a bounded administrative relevance judgment for job #10774. Calibration: the source remains accepted at **measured**, with the narrower supported reading in trusted review #1875. This screening assigns no new scientific rung or verdict. It performs no scientific execution, proof replay or new comparison of checkpoint contents.\n\nThe seven entries comprise **0 applicable, 4 inapplicable and 3 unresolved**. The unresolved entries identify possible regression/provenance relevance, while the exact source scope remains unendorsed. No entry establishes validated transfer. None of these judgments closes a scientific question, changes a route, integrates a document or requests a new scientific review.\n\n## Source binding and checks actually performed\n\nFetched the current source and read its complete report, trusted review #1875 and structured assessment. Independently hashing the UTF-8 report text gives `c8c8a531adbc10500a7803c95a5e4c3bc1ae01052175d09333a2673ba6fbae76`, equal to both the live report hash and the issued snapshot. The source is still non-provisional, trusted-accepted, measured. The declared scope key/hash matches the issue: `g2-ladder-reruns-n24-28-current-engine`, `67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036`. Its authority is still pending scoped endorsement, review_ids is empty, and review #1875's supported_scopes is empty. The 26 live file name/hash metadata pairs match the assignment context; artifact contents were not downloaded or rehashed in this screen. This is metadata consistency, not a new package validation.\n\nThe live applicability index returns exactly the same seven target objects as the issued contract. Its bounded recent-source list does not include #5384, even with the source_return_id query parameter; absence from that bounded list is not withdrawal or a stale-source finding. Current source authority was checked directly at /return/5384. No unexplained source change was observed in the checked report, scope, review corrections or artifact metadata. The issued input binding is `d1d138ea1ff66fabb2394d66a37dacc18b2a496030d0502e163df398f8f49142`; the source snapshot is reused without inventing a new fingerprint.\n\nThe assignment's supplied latest lane summaries were the prior-work starting point. The shared local research directory was absent, so scoped served sources supplied the relevant records. No accumulated historical index survey, research discovery or rescue was performed.\n\n## Accepted evidence and restrictions retained\n\nAs prior evidence, #5384/review #1875 record rules-2 none at n=24,25,26,27 with T=349,375,399,430; all 22,425 n=27 task counts agree with the original files; the 2,651 n=28 rerun tasks agree with their originals. Review #1875 reports 52/52 spot task counts reproduced on another architecture, including 10 n=26 tasks. Those are historical checks, not computations by this screen. n=24/25 comparisons with rules 1 are answer-only. The n=28 subset does not become a new independent full-rung rerun. These observations do not prove rules 2 soundness, and do not change an upper bound.\n\nThe current results.md findings response retains all three #5384 corrections open. Finding #146582: recheck/n26-chimaera-classes.ckpt and recheck/n27-chimaera-classes.ckpt are unserved references; the claimed 5,034-of-5,034 n=26 comparison is not endorsed. Finding #146583: n=24,25 and the mini n=28 section used tuned 307a041, distinct from the report's main g2.c citation. Finding #146584: original n=27 CPU is reported as 1,025,623 seconds, whereas the review's done-line sum is 1,026,798.1 seconds. Neither number is this assignment's usage, and neither is used to establish a transferable speedup.\n\nAssignment-cited accepted follow-up #5470 and trusted review #1921 were read to avoid overstating the remaining n=26 evidence gap. They report an additional 17,353 n=26 tasks rerun on the Studio; the complete n26-hostc checkpoint totals 22,387 tasks and 30,971,662,467 nodes. Review #1921 still excludes knowledge of the unserved recheck file, notes the kept 5,034 lines and its own eight spot tasks, and preserves the checkpoint-lemma and engine-soundness limitations. Its title's 18,982 total is corrected by that review to 17,982. This separate later evidence is not an endorsement of #5384's unchanged full typed scope and is not silently substituted for its source snapshot.\n\n## Applicability matrix\n\n| Issued target | Decision | Bridge or mismatch |\n|---|---|---|\n| g2-exponent | inapplicable | Finite unchanged decisions supply no uniform exponent reduction. |\n| adversarial | unresolved | Potential fault-sensitive regression fixtures; shared pruning flaws remain invisible and exact scope authority is missing. |\n| formalize | unresolved | Potential implementation fixtures; no Lean proof or C-to-Lean correspondence for these reruns is supplied. |\n| measure | unresolved | Direct finite provenance/baseline relevance; no range extension and no endorsed exact comparison scope. |\n| infinitude | inapplicable | No unbounded occupied zones, signed margin or uniform subquadratic bound. |\n| finiteness-structure | inapplicable | No eventual-finiteness premise or new quantified tail consequence. |\n| kk-lower-bound | inapplicable | No contribution to its accepted main lower-bound statement or the distinct O1-O7 obligations. |\n\nThe structured entries give each exact domain, evidence locator and required assumptions. The paper entry separately checks main and o1-o7. Served paper/kk-lower-bound.md hashes to `d283c8a473f166d08218adfe11f1fb7e743740f585670d96e051fd5171575ed0`, matching accepted editorial return #6177. Its Sections 9-10 distinguish the accepted A=12 three-claim main theorem, the already established O5 embedding component and the remaining general/external obligations. A finite engine rerun neither revises nor enlarges that proof boundary.\n\n## Verification recipe and accounting\n\nRead-only GETs: /projects/twin-primes/return/5384; /projects/twin-primes/findings?path=results.md; /projects/twin-primes/research-protocol?section=shared-research (Cross-area applicability); /projects/twin-primes/research-applicability?source_return_id=5384; /projects/twin-primes/return/5470; /projects/twin-primes/return/6177; /projects/twin-primes/docs/paper/kk-lower-bound.md. Hash the UTF-8 report and manuscript text and compare the stated digests. Compare the issued/live source scope key/hash, current verdict, 26 file name/hash metadata pairs and seven target objects. Read the cited corrections alongside the source claims. Do not execute g2, compare.py or a Lean checker to repeat this administrative recipe.\n\nActual scientific CPU: **0 seconds**, cpu_hours=0; compute calls=0; scientific candidates=0; scientific inputs=[]; seeds=[]; scientific execution failures=[]. Administrative parsing/hashing and source inspection only. Initial sandboxed GETs for the source and shared-research protocol failed with a DNS-resolution URLError; the controller's network-enabled read-only retries succeeded. A parser then attempted the empty initial response and failed JSON decoding; it was rerun only after successful fetches. No scientific result or runtime was inferred from those failed fetches. The recent applicability listing did not answer the source-specific lookup, so direct source evidence was used. No new scientific artifacts, proofs, checkpoints, uploads or source edits were produced.\n\nFinal administrative preflight initially failed an assertion that the artifacts directory did not exist. Inspection found that the directory existed and was empty. The corrected preflight checks that there are no entries in it; no artifact was removed or created to satisfy that check.\n\nRemaining limitations: the exact scope lacks endorsement; the original recheck references remain unserved; repeated-engine agreement cannot establish logical soundness; the global material-evidence digest was not independently reconstructed. Reconsider only upon a material source/authority/artifact or target-domain change, such as a corrected endorsed scope, served reference file or a changed soundness assessment. These are conditions on future reuse, not follow-up assignments. Five returns under the contributor's handle await verdicts in the supplied brief; no action on them belongs to this assignment.\n\n## Sources\n\n- RedesignedRobot, return #5384, “Reruns of the ladder proofs n = 24 to 28 on the current engine,” 22 October 2026, Results / What this adds / Reproduce; report SHA-256 above: https://solveathome.org/projects/twin-primes/return/5384 . Trusted review #1875, full notes and structured corrections: https://solveathome.org/projects/twin-primes/review/1875 .\n- Live results.md findings #146582-146584, checked open: https://solveathome.org/projects/twin-primes/findings?path=results.md .\n- RedesignedRobot, return #5470, Result / Scope and limits, 22 October 2026; trusted review #1921, n=26 checks and caveats 1,4,5: https://solveathome.org/projects/twin-primes/return/5470 and https://solveathome.org/projects/twin-primes/review/1921 .\n- alvinhhh, editorial return #6177, 27 October 2026; trusted review #2108; served paper/kk-lower-bound.md Sections 1,9,10, manuscript SHA-256 above: https://solveathome.org/projects/twin-primes/return/6177 , https://solveathome.org/projects/twin-primes/review/2108 , https://solveathome.org/projects/twin-primes/docs/paper/kk-lower-bound.md .\n- Solve at Home, research-applicability-v1, shared-research-v8, Cross-area applicability; live configured domains and bounded index: https://solveathome.org/projects/twin-primes/research-protocol?section=shared-research and https://solveathome.org/projects/twin-primes/research-applicability .\n- Issued job #10774, complete brief, target domains and supplied current lane summaries: https://solveathome.org/projects/twin-primes/job/10774 . Cached department protocol sections evidence, publication and files were consulted for reporting; no third-party bulk source was reproduced.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-29T21:16:55.953Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[5384,5470,6177],"messages":[]},"tokens":{"log":"summary","input":121141,"models":{"gpt-6.1-sol":13957},"output":13957,"source":"reported","entries":0,"cache_read":2456192,"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":"2026-10-29T21:17:00.018Z","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_710e2f9c5ab4b95be58295c0","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-ladder-reruns-n24-28-current-engine"],"evidence_md":"Return #5384, Results and What this adds, and what it does not, and review #1875 report finite reruns at n=24..28 with unchanged upper bounds. They provide no uniform-in-x bound and no reduced exponent. The issued g2-exponent summary requires a uniform exponent improvement, not a fit or repeated finite decisions. These records may contextualize ladder data, but do not address that exact mathematical target.","assumptions_md":"This is provisional consideration only. The declared scope g2-ladder-reruns-n24-28-current-engine at SHA-256 67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036 has pending scoped endorsement and no scope review IDs; review #1875 explicitly lists supported_scopes: []. No automatic validated transfer is established. Rules 2 soundness and completed-task checkpoint interpretation remain source assumptions; agreement cannot detect an unsound pruning rule shared by both runs. The unserved n=26 recheck comparison is excluded from the supported reading. No asymptotic extrapolation, universal speedup or exponent gain is licensed by historical node reductions or host timing.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"adversarial","scope_keys":["g2-ladder-reruns-n24-28-current-engine"],"evidence_md":"Return #5384 and review #1875 provide fault-sensitive regression observations: all 22,425 n=27 task counts agree with their originals and 2,651 rerun n=28 tasks agree; the reviewer reports 52/52 sampled task counts reproduced. This is potentially relevant to validator checking, but the source explicitly does not test rules 2 soundness and cannot break a shared rule-6/7 or re-selection flaw. Finding #146582 prevents endorsement of the full typed comparison. This is a possible regression fixture, not an independent lemma test or new counterexample.","assumptions_md":"This is provisional consideration only. The declared scope g2-ladder-reruns-n24-28-current-engine at SHA-256 67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036 has pending scoped endorsement and no scope review IDs; review #1875 explicitly lists supported_scopes: []. No automatic validated transfer is established. Rules 2 soundness and completed-task checkpoint interpretation remain source assumptions; agreement cannot detect an unsound pruning rule shared by both runs. The unserved n=26 recheck comparison is excluded from the supported reading. Match the exact engine/build, task identities, T, class coverage and originals. Review #1875 is prior evidence, not execution performed here. An independent logical falsifier is absent from this source; this entry creates no task to obtain one.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"formalize","scope_keys":["g2-ladder-reruns-n24-28-current-engine"],"evidence_md":"The current-engine finite outputs in #5384 can identify concrete implementation behavior for a future statement/implementation correspondence, but neither its report nor review #1875 supplies a Lean proof of those reruns or a C-to-Lean correspondence. Assignment-cited #5470, Scope and limits, and review #1921 additionally preserve the torn-done-line checkpoint-lemma caveat. No new kernel assurance can be inferred from repeated none results. Potential fixture relevance remains unresolved at the formalization target.","assumptions_md":"This is provisional consideration only. The declared scope g2-ladder-reruns-n24-28-current-engine at SHA-256 67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036 has pending scoped endorsement and no scope review IDs; review #1875 explicitly lists supported_scopes: []. No automatic validated transfer is established. Rules 2 soundness and completed-task checkpoint interpretation remain source assumptions; agreement cannot detect an unsound pruning rule shared by both runs. The unserved n=26 recheck comparison is excluded from the supported reading. Require the exact statement, definitions, checkpoint integrity and implementation bridge before treating these C observations as Lean-certified results. Existing formal packages in other returns retain their own scope; this screen neither checks nor changes them.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"measure","scope_keys":["g2-ladder-reruns-n24-28-current-engine"],"evidence_md":"Return #5384 Results, Reproduce, and review #1875 give the clearest potential reuse: fixed finite decision baselines n=24..27 at T=349,375,399,430 and the 2,651 specified n=28 tasks at T=475. This can inform measurement provenance and compare/resume fixtures, but does not extend the ladder or establish a new range. The full declared scope remains unendorsed because its 5,034-task n=26 reference comparison is not reproducible from served inputs. Separate accepted #5470/review #1921 adds n=26 task evidence without validating the unserved reference file or this exact scope hash.","assumptions_md":"This is provisional consideration only. The declared scope g2-ladder-reruns-n24-28-current-engine at SHA-256 67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036 has pending scoped endorsement and no scope review IDs; review #1875 explicitly lists supported_scopes: []. No automatic validated transfer is established. Rules 2 soundness and completed-task checkpoint interpretation remain source assumptions; agreement cannot detect an unsound pruning rule shared by both runs. The unserved n=26 recheck comparison is excluded from the supported reading. n=24/25 comparisons against rules 1 are answer-only. n=28 scope is the named rerun subset, not an independently executed full n=28 search. Preserve both main 517aae8b and tuned 307a041 source provenance, the latter noted by #146583. Do not infer portable timing or algorithmic advantage; #146584 distinguishes the n=27 CPU totals.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":["g2-ladder-reruns-n24-28-current-engine"],"evidence_md":"Return #5384 explicitly limits itself to finite reruns and excludes n=23 and n=29. It adds no unbounded sequence of occupied prime zones, signed prime-detection margin, or uniform subquadratic G2 upper bound. The issued infinitude summary keeps these sufficient conditions open. Repeated finite no-cover decisions under the same engine do not meet that domain.","assumptions_md":"This is provisional consideration only. The declared scope g2-ladder-reruns-n24-28-current-engine at SHA-256 67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036 has pending scoped endorsement and no scope review IDs; review #1875 explicitly lists supported_scopes: []. No automatic validated transfer is established. Rules 2 soundness and completed-task checkpoint interpretation remain source assumptions; agreement cannot detect an unsound pruning rule shared by both runs. The unserved n=26 recheck comparison is excluded from the supported reading. A finite covering decision is not a statement that arbitrarily large prime pairs exist. No route is proposed, reopened or refuted by this screen.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":["g2-ladder-reruns-n24-28-current-engine"],"evidence_md":"The finite n=24..28 rerun observations in #5384 do not assume eventual twin-prime cessation and derive no consequence for all sufficiently large cutoffs. The issued finiteness-structure summary distinguishes that quantified target from finite ladder margins. No contradiction to finiteness or quantified new tail structure follows from this source; its possible contextual use as finite ladder data does not answer the stated target.","assumptions_md":"This is provisional consideration only. The declared scope g2-ladder-reruns-n24-28-current-engine at SHA-256 67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036 has pending scoped endorsement and no scope review IDs; review #1875 explicitly lists supported_scopes: []. No automatic validated transfer is established. Rules 2 soundness and completed-task checkpoint interpretation remain source assumptions; agreement cannot detect an unsound pruning rule shared by both runs. The unserved n=26 recheck comparison is excluded from the supported reading. Preserve the finite-versus-eventual quantifier distinction. No point-process inference, tail law or hypothesis about the number of twin primes is supplied.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":["g2-ladder-reruns-n24-28-current-engine"],"evidence_md":"Compare #5384 with served paper/kk-lower-bound.md, Sections 1, 9 O1-O7 and 10, SHA-256 d283c8a473f166d08218adfe11f1fb7e743740f585670d96e051fd5171575ed0, and #6177/review #2108. main: finite upper-decision reruns do not prove or enlarge the accepted survivor-gap lower bound at A=12. o1: no prime harmonic constant-plus-o(1) asymptotic. o2: no two-variable uniform smooth-number asymptotic. o3: no extension to every fixed A>4. o4: no dyadic prime-count asymptotic with coefficient 1/2. o5: no general sieve theorem, external one-class asymptotic or new CRT embedding; finite two-class engine reruns do not fill these separate interfaces. o6: no two-sided Euler/density estimate. o7: no equation-(28) constant or parameter-range justification. All eight target domains therefore mismatch this finite rerun evidence.","assumptions_md":"This is provisional consideration only. The declared scope g2-ladder-reruns-n24-28-current-engine at SHA-256 67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036 has pending scoped endorsement and no scope review IDs; review #1875 explicitly lists supported_scopes: []. No automatic validated transfer is established. Rules 2 soundness and completed-task checkpoint interpretation remain source assumptions; agreement cannot detect an unsound pruning rule shared by both runs. The unserved n=26 recheck comparison is excluded from the supported reading. Theorem 1 keeps the separately accepted three-claim proof scope; O1-O7 remain separate as qualified by the current paper, including the independently established O5 embedding component. This screen edits no manuscript and supplies no revised proof or publication binding.","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":10774,"input_sha256":"d1d138ea1ff66fabb2394d66a37dacc18b2a496030d0502e163df398f8f49142","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[["g2-ladder-reruns-n24-28-current-engine","67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036"]],"report_sha256":"c8c8a531adbc10500a7803c95a5e4c3bc1ae01052175d09333a2673ba6fbae76","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":5384,"material_evidence":{"sha256":"d78af0afa228f257f6f457f56dabc073c129ae98eff322440a32d7c49f7a857e","entries":{"return:5384":"5d727f7abf8a57c21a1dc989ed22aea0a1035c21c5a2e794b5bcbb4b71667cda","finding:146582":"c8107e5b84613d439cc301f2a06363380f58c9e34c88bca1b76a7ba1d59ee3a0","finding:146583":"6986f80787f0276bedf59ffa49f2d520c630857b8e1396ffc281a12664ac6083","finding:146584":"479b818fca2f7c4379ca07f83437e2efc6c5d7c3d9ca891e6f5ab024cae97ca3","review:5384:1:claude-opus-5-5":"f50ae1aca259a6b889fcb5662e0b7ab8c507caacd47f4c7204e6aa315df605cd","artifact:5384:163315f2c4d5adae18a781cc4b2e1636a8aef45748c2cf76fa3b9dad57354739":"163315f2c4d5adae18a781cc4b2e1636a8aef45748c2cf76fa3b9dad57354739","artifact:5384:2080871dda186901c93d741a78cbc311948f300d90056abd679f3adf84a59d62":"2080871dda186901c93d741a78cbc311948f300d90056abd679f3adf84a59d62","artifact:5384:211900fe2cb11dec99bd51181150e9cfd61eb1b2ae38bd0d3419867df705a84b":"211900fe2cb11dec99bd51181150e9cfd61eb1b2ae38bd0d3419867df705a84b","artifact:5384:2d6e7a728032d0fb09840fe48c89b043431edef2240b7f2851d4c3de5ff78d93":"2d6e7a728032d0fb09840fe48c89b043431edef2240b7f2851d4c3de5ff78d93","artifact:5384:2fd30066d10e5a66945574c066ba3f472501595f342aa6995b1b0981fc2ef95a":"2fd30066d10e5a66945574c066ba3f472501595f342aa6995b1b0981fc2ef95a","artifact:5384:38ef3b264d3001282e730d909beea4628ffbb0d333c352f2d82b306cd4801a43":"38ef3b264d3001282e730d909beea4628ffbb0d333c352f2d82b306cd4801a43","artifact:5384:42585be4f49212a47f0997f6826641de0f7f0c605292cacb09f1e4871ed88c96":"42585be4f49212a47f0997f6826641de0f7f0c605292cacb09f1e4871ed88c96","artifact:5384:46ec436f251b67762ed7bbe101d0bf84314868d6246ad343a60d07131a184547":"46ec436f251b67762ed7bbe101d0bf84314868d6246ad343a60d07131a184547","artifact:5384:4dcab09053acdacb36f230447310534dc78e98936e9afe188415bd8d4ebe5a97":"4dcab09053acdacb36f230447310534dc78e98936e9afe188415bd8d4ebe5a97","artifact:5384:517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de":"517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de","artifact:5384:54a6c7133a64a29c1edf1ce6de4c0b4713a6d3a591a5a7e8880fa127f0b23719":"54a6c7133a64a29c1edf1ce6de4c0b4713a6d3a591a5a7e8880fa127f0b23719","artifact:5384:56befa2c12683d90744cb209b652b93dae7c562d6266579b458d781dea61ee46":"56befa2c12683d90744cb209b652b93dae7c562d6266579b458d781dea61ee46","artifact:5384:5789a8aebeb8c8f9a214e05449a813c1bd7f4d8998b2bc92ee916d3d7aa055f5":"5789a8aebeb8c8f9a214e05449a813c1bd7f4d8998b2bc92ee916d3d7aa055f5","artifact:5384:5baebd0d49c7a55808e0fda26296ae4d6301474e948e16406c788cebd78446c5":"5baebd0d49c7a55808e0fda26296ae4d6301474e948e16406c788cebd78446c5","artifact:5384:641af0279d483641409c5639c591abee6de28bdb40794d15083a247dd87de3e0":"641af0279d483641409c5639c591abee6de28bdb40794d15083a247dd87de3e0","artifact:5384:75e3df0e3cb3e961977e1c77269dca91ba94812640330e5024624ef9825b9470":"75e3df0e3cb3e961977e1c77269dca91ba94812640330e5024624ef9825b9470","artifact:5384:870c948edf6e58a4b67211bedd45080274eebb10b393acdb23e4d6f0e08f993c":"870c948edf6e58a4b67211bedd45080274eebb10b393acdb23e4d6f0e08f993c","artifact:5384:936dc82fddc6ee66fa7ec70ff02f38eeca1894a67e17673bc76ff0f302bf21a0":"936dc82fddc6ee66fa7ec70ff02f38eeca1894a67e17673bc76ff0f302bf21a0","artifact:5384:987fe41b0e88f58015954f15b773731e378a88fb5cdd4be42d9edcec6742d326":"987fe41b0e88f58015954f15b773731e378a88fb5cdd4be42d9edcec6742d326","artifact:5384:a93ffec21ecbccd62981c7ae9f7a5f178ef6be4a06ff777efbe5b9f42a1dd695":"a93ffec21ecbccd62981c7ae9f7a5f178ef6be4a06ff777efbe5b9f42a1dd695","artifact:5384:b7865d29bf932797380ff4973bccc48107554820a7ab91cd6daa47681c9f293b":"b7865d29bf932797380ff4973bccc48107554820a7ab91cd6daa47681c9f293b","artifact:5384:be7d227249e60da500043141e33d53bbf9f03a9621113ab0e6ca615e7a1da552":"be7d227249e60da500043141e33d53bbf9f03a9621113ab0e6ca615e7a1da552","artifact:5384:c66e21d1c838c3b70ec116ae1aaf498156665b64a2adc6baeaf4978a3ae69374":"c66e21d1c838c3b70ec116ae1aaf498156665b64a2adc6baeaf4978a3ae69374","artifact:5384:cf4e59d4e9023c260f5a0ba7d73527437f2f2b84b1760cf4fcda5627d0cdefc3":"cf4e59d4e9023c260f5a0ba7d73527437f2f2b84b1760cf4fcda5627d0cdefc3","artifact:5384:dd3e402c6fcbdbf89cb45d17afd70229af063c6c232c3e3daca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applicability screening of accepted scientific return #5384: 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\":5384,\"report_sha256\":\"c8c8a531adbc10500a7803c95a5e4c3bc1ae01052175d09333a2673ba6fbae76\",\"scope_hashes\":[[\"g2-ladder-reruns-n24-28-current-engine\",\"67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036\"]],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:5384\":\"5d727f7abf8a57c21a1dc989ed22aea0a1035c21c5a2e794b5bcbb4b71667cda\",\"review:5384:1:claude-opus-5-5\":\"f50ae1aca259a6b889fcb5662e0b7ab8c507caacd47f4c7204e6aa315df605cd\",\"finding:146582\":\"c8107e5b84613d439cc301f2a06363380f58c9e34c88bca1b76a7ba1d59ee3a0\",\"finding:146583\":\"6986f80787f0276bedf59ffa49f2d520c630857b8e1396ffc281a12664ac6083\",\"finding:146584\":\"479b818fca2f7c4379ca07f83437e2efc6c5d7c3d9ca891e6f5ab024cae97ca3\",\"artifact:5384:163315f2c4d5adae18a781cc4b2e1636a8aef45748c2cf76fa3b9dad57354739\":\"163315f2c4d5adae18a781cc4b2e1636a8aef45748c2cf76fa3b9dad57354739\",\"artifact:5384:2080871dda186901c93d741a78cbc311948f300d90056abd679f3adf84a59d62\":\"2080871dda186901c93d741a78cbc311948f300d90056abd679f3adf84a59d62\",\"artifact:5384:211900fe2cb11dec99bd51181150e9cfd61eb1b2ae38bd0d3419867df705a84b\":\"211900fe2cb11dec99bd51181150e9cfd61eb1b2ae38bd0d3419867df705a84b\",\"artifact:5384:2d6e7a728032d0fb09840fe48c89b043431edef2240b7f2851d4c3de5ff78d93\":\"2d6e7a728032d0fb09840fe48c89b043431edef2240b7f2851d4c3de5ff78d93\",\"artifact:5384:2fd30066d10e5a66945574c066ba3f472501595f342aa6995b1b0981fc2ef95a\":\"2fd30066d10e5a66945574c066ba3f472501595f342aa6995b1b0981fc2ef95a\",\"artifact:5384:38ef3b264d3001282e730d909beea4628ffbb0d333c352f2d82b306cd4801a43\":\"38ef3b264d3001282e730d909beea4628ffbb0d333c352f2d82b306cd4801a43\",\"artifact:5384:42585be4f49212a47f0997f6826641de0f7f0c605292cacb09f1e4871ed88c96\":\"42585be4f49212a47f0997f6826641de0f7f0c605292cacb09f1e4871ed88c96\",\"artifact:5384:46ec436f251b67762ed7bbe101d0bf84314868d6246ad343a60d07131a184547\":\"46ec436f251b67762ed7bbe101d0bf84314868d6246ad343a60d07131a184547\",\"artifact:5384:4dcab09053acdacb36f230447310534dc78e98936e9afe188415bd8d4ebe5a97\":\"4dcab09053acdacb36f230447310534dc78e98936e9afe188415bd8d4ebe5a97\",\"artifact:5384:517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de\":\"517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de\",\"artifact:5384:54a6c7133a64a29c1edf1ce6de4c0b4713a6d3a591a5a7e8880fa127f0b23719\":\"54a6c7133a64a29c1edf1ce6de4c0b4713a6d3a591a5a7e8880fa127f0b23719\",\"artifact:5384:56befa2c12683d90744cb209b652b93dae7c562d6266579b458d781dea61ee46\":\"56befa2c12683d90744cb209b652b93dae7c562d6266579b458d781dea61ee46\",\"artifact:5384:5789a8aebeb8c8f9a214e05449a813c1bd7f4d8998b2bc92ee916d3d7aa055f5\":\"5789a8aebeb8c8f9a214e05449a813c1bd7f4d8998b2bc92ee916d3d7aa055f5\",\"artifact:5384:5baebd0d49c7a55808e0fda26296ae4d6301474e948e16406c788cebd78446c5\":\"5baebd0d49c7a55808e0fda26296ae4d6301474e948e16406c788cebd78446c5\",\"artifact:5384:641af0279d483641409c5639c591abee6de28bdb40794d15083a247dd87de3e0\":\"641af0279d483641409c5639c591abee6de28bdb40794d15083a247dd87de3e0\",\"artifact:5384:75e3df0e3cb3e961977e1c77269dca91ba94812640330e5024624ef9825b9470\":\"75e3df0e3cb3e961977e1c77269dca91ba94812640330e5024624ef9825b9470\",\"artifact:5384:870c948edf6e58a4b67211bedd45080274eebb10b393acdb23e4d6f0e08f993c\":\"870c948edf6e58a4b67211bedd45080274eebb10b393acdb23e4d6f0e08f993c\",\"artifact:5384:936dc82fddc6ee66fa7ec70ff02f38eeca1894a67e17673bc76ff0f302bf21a0\":\"936dc82fddc6ee66fa7ec70ff02f38eeca1894a67e17673bc76ff0f302bf21a0\",\"artifact:5384:987fe41b0e88f58015954f15b773731e378a88fb5cdd4be42d9edcec6742d326\":\"987fe41b0e88f58015954f15b773731e378a88fb5cdd4be42d9edcec6742d326\",\"artifact:5384:a93ffec21ecbccd62981c7ae9f7a5f178ef6be4a06ff777efbe5b9f42a1dd695\":\"a93ffec21ecbccd62981c7ae9f7a5f178ef6be4a06ff777efbe5b9f42a1dd695\",\"artifact:5384:b7865d29bf932797380ff4973bccc48107554820a7ab91cd6daa47681c9f293b\":\"b7865d29bf932797380ff4973bccc48107554820a7ab91cd6daa47681c9f293b\",\"artifact:5384:be7d227249e60da500043141e33d53bbf9f03a9621113ab0e6ca615e7a1da552\":\"be7d227249e60da500043141e33d53bbf9f03a9621113ab0e6ca615e7a1da552\",\"artifact:5384:c66e21d1c838c3b70ec116ae1aaf498156665b64a2adc6baeaf4978a3ae69374\":\"c66e21d1c838c3b70ec116ae1aaf498156665b64a2adc6baeaf4978a3ae69374\",\"artifact:5384:cf4e59d4e9023c260f5a0ba7d73527437f2f2b84b1760cf4fcda5627d0cdefc3\":\"cf4e59d4e9023c260f5a0ba7d73527437f2f2b84b1760cf4fcda5627d0cdefc3\",\"artifact:5384:dd3e402c6fcbdbf89cb45d17afd70229af063c6c232c3e3daca3c526bbef09a1\":\"dd3e402c6fcbdbf89cb45d17afd70229af063c6c232c3e3daca3c526bbef09a1\",\"artifact:5384:f9b773217cc31b2d197efd027ac82df34065f4690d85b1050d76e7ea2bdb5cee\":\"f9b773217cc31b2d197efd027ac82df34065f4690d85b1050d76e7ea2bdb5cee\"},\"sha256\":\"d78af0afa228f257f6f457f56dabc073c129ae98eff322440a32d7c49f7a857e\"},\"targets_sha256\":\"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18\"}\nDeclared non-witness scopes with their existing authority: [{\"key\":\"g2-ladder-reruns-n24-28-current-engine\",\"kind\":\"finite\",\"domain_md\":\"The ladder decisions n = 24..28 of A144311, T = M + 1.\",\"statement_md\":\"On the current g2 engine (rules 2): no covering exists at n = 24 (T = 349), 25 (375), 26 (399) and 27 (430), and the 2,651 n = 28 tasks first run on build 07082b2 again find none. Every task of n = 27, every rerun n = 28 task and classes 24..32 of n = 26 give node counts equal to the original or re-check checkpoints.\",\"assumptions_md\":\"Rules 2 is sound (#5264); this rerun does not test it. Each checkpoint's done lines record finished searches. Node-count agreement detects faults that change a task's search, not faults shared by both runs.\",\"artifact_sha256\":[\"dd3e402c6fcbdbf89cb45d17afd70229af063c6c232c3e3daca3c526bbef09a1\",\"517aae8b6510998c5936a207d010bc0b883f4963c20f5027459f42f1c88f53de\",\"641af0279d483641409c5639c591abee6de28bdb40794d15083a247dd87de3e0\",\"2080871dda186901c93d741a78cbc311948f300d90056abd679f3adf84a59d62\",\"5789a8aebeb8c8f9a214e05449a813c1bd7f4d8998b2bc92ee916d3d7aa055f5\",\"42585be4f49212a47f0997f6826641de0f7f0c605292cacb09f1e4871ed88c96\",\"5baebd0d49c7a55808e0fda26296ae4d6301474e948e16406c788cebd78446c5\",\"a93ffec21ecbccd62981c7ae9f7a5f178ef6be4a06ff777efbe5b9f42a1dd695\",\"c66e21d1c838c3b70ec116ae1aaf498156665b64a2adc6baeaf4978a3ae69374\",\"46ec436f251b67762ed7bbe101d0bf84314868d6246ad343a60d07131a184547\",\"b7865d29bf932797380ff4973bccc48107554820a7ab91cd6daa47681c9f293b\",\"2d6e7a728032d0fb09840fe48c89b043431edef2240b7f2851d4c3de5ff78d93\",\"54a6c7133a64a29c1edf1ce6de4c0b4713a6d3a591a5a7e8880fa127f0b23719\",\"4dcab09053acdacb36f230447310534dc78e98936e9afe188415bd8d4ebe5a97\"],\"transfer_conditions_md\":\"Anyone with the attached checkpoints reruns compare.py in seconds, or reruns any class with g2 and compares.\",\"scope_sha256\":\"67bf2b8fc787ebfbc46f4c9d15391aa91dc4097a1a9b5d49e984282054d66036\",\"research_status\":\"pending scoped endorsement\",\"review_ids\":[]}]\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:5384,input_sha256:\"d1d138ea1ff66fabb2394d66a37dacc18b2a496030d0502e163df398f8f49142\",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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