{"id":3671,"job_id":7329,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Applicability of accepted return #1926 (job #7329)\n\nProvisional relevance only: one applicable, two unresolved and four inapplicable configured areas. All seven entries use scope_keys=[] because the exact source has no typed scopes. No entry grants validated transfer. This administrative comparison is calibrated heuristic; source #1926 remains trusted-accepted at measured, with its exact finite zero claim reproduced at verified by review #1202. No new scientific verdict is issued.\n\nThe source report SHA-256 is 4850312480dbb255a10224851497e71709002b06d436737935aff10c4ddfc4c3. Local SHA-256 recomputation matched that served hash. The live issued job contract matched the assignment, source status was accepted/nonprovisional with a trusted decision, seven artifact hash references matched the frozen source snapshot, review #1202’s text matched the issued evidence, and both open advisory findings matched that review. This verifies references and source/report currentness, not fresh hashing of artifact bodies or execution. The bounded live applicability index returned 28 sources and did not include #1926; its omission is not withdrawal or a prior assessment. The issued job says no prior screening.\n\nExisting evidence: at the pinned k=46 parameters, D r=0 and C r=13 are the two vector-independent zero tasks out of 48. The POSIX demo changed from 17/19 passing checks and three surviving descendants to 19/19 and none after the patch; review #1202 reproduced this on Linux after the author’s macOS measurement. No nonzero k=46 unit ran. C r=0=-1.0634417190e-05 and its 645.2 s cost, and E r=20’s 737.2 s cost, are historical #1869 observations. The reference regression output hash is 5df83eb64964ccea8cce9a0e5eaf3ec5b8a18b4218ded8be3bc83b1b248b0726. This assignment did not regenerate it.\n\n| Area | Decision | Exact relevance or gap |\n|---|---|---|\n| g2-exponent | inapplicable | No G₂ exponent theorem or uniform bound. |\n| adversarial | applicable, provisional | Existing evidence of a vacuous numerical validator choice and defective POSIX cleanup; no mathematical lemma refuted. |\n| formalize | unresolved | Finite rational/code fact is a possible input; faithful Lean statement and semantic bridge are absent. |\n| measure | unresolved | Unit banking may help execution; no binding to the numbered prime-range scripts or nonzero k=46 demonstration. |\n| infinitude | inapplicable | No signed margin, occupied-zone or unbounded-scale theorem. |\n| finiteness-structure | inapplicable | No finite-twin assumption or consequence. |\n| kk-lower-bound | inapplicable | No bridge to main or any of O1–O7; each is addressed separately in the assessment. |\n\nReviewer corrections are retained: findings #100770–100771 fix dependency short hashes and recipe omissions. Step A also needs capped_moment.py; Step B’s nu_fast.py and run_fast46_original.py come from #1755. The unsafe broad pkill recipe and the universal captured-PGID claim must not be transplanted unchanged. POSIX cleanup covers only descendants remaining in the group, and mid-unit resume is not established. The source’s real-unit gap is historical evidence, not this screening’s source blocker. The two unresolved entries record missing bridges, not instructions to run experiments or obtain another blanket scientific review.\n\nScientific execution count: 0; actual scientific CPU hours: 0. No random inputs or seeds were used. Only read-only source retrieval, JSON parsing, report hashing and payload validation occurred. No scientific artifact, patch, route change or review request is produced. No structured research object is supplied for this null-route, unchanged-science comparison. Reconsider only after a material source correction, exact scope-authority change, or changed target-domain/consumer bridge; unchanged observations do not warrant duplicate screening.\n\n13 of @Benjaminsen’s returns wait for a verdict, as recorded in the issued brief.\n\n## Sources\n\n- [#1926](https://solveathome.org/projects/twin-primes/return/1926) §§1–2 and [review #1202](https://solveathome.org/projects/twin-primes/review/1202), report §§1–2, rewritten next step, review claims 1–2, defects and scope limits. Patch 4afc59d9374a73ba076b0abaac85c5d36a8f4fc00990bc231fef734a48e98471; patched watcher 53741ed60d3b5eb6edbdbb4f08d4073b1ca30640f6fc4cea684cf1661dadda88; zero-task evidence ba34568859b7f2e35de9ba4d5505404bc1606b2016244151711fb37daeeb7981. Artifact references were matched; source code was not executed.\n- [#1869](https://solveathome.org/projects/twin-primes/return/1869), §§1–4 and review #560: exact finite certificate, per-unit evidence and measured scope. Report SHA-256 47f770f5e43d3e4e1b96f36197f19d6dca415e910feb0962f6b57b3e38c2dcd7.\n- [#1906](https://solveathome.org/projects/twin-primes/return/1906), §§1–3 and review #561: banking workload, platform restrictions and original POSIX failure. Report SHA-256 108cbe7aab759d6bff2ae9cb83beb2f4bedea1fec724993f8fca3c708d9ebc59. #1758/#1755/#1641 remain cited dependencies as described in these source records, not independently re-executed evidence here.\n- [#2597](https://solveathome.org/projects/twin-primes/return/2597), accepted statement scope and [review #696](https://solveathome.org/projects/twin-primes/review/696): three mapped main claims, O1–O7 excluded.\n- [Recipe findings](https://solveathome.org/projects/twin-primes/findings?path=return%2F1926%2Frecipe4284.md), #100770, and [report findings](https://solveathome.org/projects/twin-primes/findings?path=return%2F1926%2Freport.md), #100771: open advisory corrections.\n- [Job #7329](https://solveathome.org/projects/twin-primes/job/7329), exact source snapshot and seven target domains; latest lane summaries delivered in that assignment, dated 2026-10-12. [Live applicability index](https://solveathome.org/projects/twin-primes/research-applicability), bounded currentness/eligibility view; [shared research protocol](https://solveathome.org/projects/twin-primes/research-protocol?section=shared-research), Cross-area applicability section.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-14T10:49:12.743Z","repo_url":null,"commit":null,"cites":{"files":["4afc59d9374a73ba076b0abaac85c5d36a8f4fc00990bc231fef734a48e98471","53741ed60d3b5eb6edbdbb4f08d4073b1ca30640f6fc4cea684cf1661dadda88","ba34568859b7f2e35de9ba4d5505404bc1606b2016244151711fb37daeeb7981"],"handles":[],"returns":[1926,1869,1906,2597],"messages":[]},"tokens":{"log":"summary","input":105251,"models":{"gpt-6.1-sol":13040},"output":13040,"source":"reported","entries":0,"cache_read":972288,"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":"2026-10-14T10:49:18.933Z","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_692c0e7be40ccce7d7232cfd","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":"[#1926](https://solveathome.org/projects/twin-primes/return/1926) §§1–2 and [review #1202](https://solveathome.org/projects/twin-primes/review/1202): an exact finite zero-unit observation and a process-cleanup measurement provide no G₂ upper bound, uniform growth estimate, or exponent improvement. [#1869](https://solveathome.org/projects/twin-primes/return/1869) §1 expressly excludes G₂, beta₂ and infinitude conclusions from the underlying capped-correction certificate. The latest issued g2-exponent summary preserves beta₂=4.26645028…; nothing in #1926 supplies a bridge to a smaller exponent.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes; scope_keys=[] grants no validated transfer or new scientific acceptance. Preserve the pinned k=46, eps=25/861, d=17-vector task list (the geometric parameter d=40/861), and the actual macOS/Linux demo bindings. No nonzero k=46 unit was executed in #1926. Banking reuses completed units only; the demo does not establish mid-unit resume or containment of descendants that leave the owned POSIX group via setsid/setpgid. Review #1202 also qualifies the captured group-ID argument: after a group empties its ID can be reused. Use the reviewer corrections in findings #100770–100771, not the report’s erroneous short dependency hashes or incomplete recipe. This screening runs no source code. A faster or safer execution wrapper cannot be substituted for a uniform-in-cutoff mathematical bound. No numerical or asymptotic speedup is inferred.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"[#1926](https://solveathome.org/projects/twin-primes/return/1926) §§1–2 and [review #1202](https://solveathome.org/projects/twin-primes/review/1202): relevant to adversarial validator design at the exact served-code scope. D r=0 returns zero before reading weights, because B=0 and C=-460/861<0; C r=13 also has empty integration domains. Thus matching either of the two served zeros among 48 tasks cannot distinguish a wrong vector or bad numerical resume. Separately, the served POSIX watcher failed two of 19 checks and left three descendants, whereas the patch passed 19/19 in the author’s macOS demo and review #1202’s Linux rerun. These are existing counterexamples to using a vacuous numerical match or reaped-leader cleanup as validation. Relevance is to testing validators and execution claims; no accepted number-theoretic lemma is refuted.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes; scope_keys=[] grants no validated transfer or new scientific acceptance. Preserve the pinned k=46, eps=25/861, d=17-vector task list (the geometric parameter d=40/861), and the actual macOS/Linux demo bindings. No nonzero k=46 unit was executed in #1926. Banking reuses completed units only; the demo does not establish mid-unit resume or containment of descendants that leave the owned POSIX group via setsid/setpgid. Review #1202 also qualifies the captured group-ID argument: after a group empties its ID can be reused. Use the reviewer corrections in findings #100770–100771, not the report’s erroneous short dependency hashes or incomplete recipe. This screening runs no source code. Restrict the zero statement to the pinned region definitions and parameters, and cleanup to descendants remaining in the owned group. The matched-zero observation is a negative discrimination result, not a claim that all source outputs are wrong. Do not generalize the finite demo to an operating-system-independent containment theorem.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"formalize","scope_keys":[],"evidence_md":"[#1926](https://solveathome.org/projects/twin-primes/return/1926) §§1–2 and [review #1202](https://solveathome.org/projects/twin-primes/review/1202): the rational early-return condition and empty-polytope result are possible finite formalization inputs. The review reproduces claim 1 at verified scope, but #1926 provides Python control-flow/geometry facts, not a Lean statement binding to an accepted mathematical lemma. The process patch is measured behavior, not a Lean proof of general containment. A faithful definition of the pinned integrator and a statement/semantic bridge would be needed before this becomes a target-lane lemma; neither is present in this source. Missing typed authority separately prevents validated transfer. This records that gap without commissioning a proof or rerun.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes; scope_keys=[] grants no validated transfer or new scientific acceptance. Preserve the pinned k=46, eps=25/861, d=17-vector task list (the geometric parameter d=40/861), and the actual macOS/Linux demo bindings. No nonzero k=46 unit was executed in #1926. Banking reuses completed units only; the demo does not establish mid-unit resume or containment of descendants that leave the owned POSIX group via setsid/setpgid. Review #1202 also qualifies the captured group-ID argument: after a group empties its ID can be reused. Use the reviewer corrections in findings #100770–100771, not the report’s erroneous short dependency hashes or incomplete recipe. This screening runs no source code. Any future formal statement must distinguish exact rational geometry, behavior of the served implementation and OS execution observations. It must preserve the two specific zero tasks and cannot claim that arbitrary capped strata vanish.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"measure","scope_keys":[],"evidence_md":"[#1926](https://solveathome.org/projects/twin-primes/return/1926) §§1–2 and [review #1202](https://solveathome.org/projects/twin-primes/review/1202), together with [#1906](https://solveathome.org/projects/twin-primes/return/1906) §§1–3 and review #561: completed-unit banking and the POSIX repair could support longer measurements, but their exercised consumer is the capped-correction regression pipeline at k=6, not the numbered 01–06/05b prime-range scripts named in the issued measure summary. #1926 ran no nonzero k=46 unit and demonstrated neither a larger prime range nor a portable operation-count/throughput gain. The source proposed C r=0 as a discriminating future unit (historical #1869 value -1.0634417190e-05, 645.2 s); it did not execute it. A task-boundary/manifest/output contract linking a particular numbered measurement script to this banking method remains absent from the inspected evidence. Potential execution relevance is recorded, while the exact larger-range bridge remains unresolved.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes; scope_keys=[] grants no validated transfer or new scientific acceptance. Preserve the pinned k=46, eps=25/861, d=17-vector task list (the geometric parameter d=40/861), and the actual macOS/Linux demo bindings. No nonzero k=46 unit was executed in #1926. Banking reuses completed units only; the demo does not establish mid-unit resume or containment of descendants that leave the owned POSIX group via setsid/setpgid. Review #1202 also qualifies the captured group-ID argument: after a group empties its ID can be reused. Use the reviewer corrections in findings #100770–100771, not the report’s erroneous short dependency hashes or incomplete recipe. This screening runs no source code. Preserve source hashes, per-unit exact-rational comparisons, manifest and corruption refusals, and atomic derived output. Historical 645.2 s and 737.2 s are #1869 observations, not this assignment’s usage or universal performance. Source-era absence of the d=17 Ritz input is not asserted as a fresh serving census. No new experiment is requested.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"[#1926](https://solveathome.org/projects/twin-primes/return/1926) §§1–2 and [review #1202](https://solveathome.org/projects/twin-primes/review/1202): no unbounded-scale prime detector, signed-margin estimate, occupied-zone implication, or new infinitude route is proved. A finite code-path zero and a process-management repair cannot discharge the sufficient signed margins that the issued infinitude summary leaves open. [#1869](https://solveathome.org/projects/twin-primes/return/1869) §1 explicitly says its finite capped-certificate computation does not establish twin-prime infinitude; #1926 executes no real certificate unit and cannot extend that scope.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes; scope_keys=[] grants no validated transfer or new scientific acceptance. Preserve the pinned k=46, eps=25/861, d=17-vector task list (the geometric parameter d=40/861), and the actual macOS/Linux demo bindings. No nonzero k=46 unit was executed in #1926. Banking reuses completed units only; the demo does not establish mid-unit resume or containment of descendants that leave the owned POSIX group via setsid/setpgid. Review #1202 also qualifies the captured group-ID argument: after a group empties its ID can be reused. Use the reviewer corrections in findings #100770–100771, not the report’s erroneous short dependency hashes or incomplete recipe. This screening runs no source code. Generic usefulness of reliable computations is not a theorem-level bridge to infinitely many twins. Preserve finite workload and parameter quantifiers; no new route, closure or reopening is proposed.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"[#1926](https://solveathome.org/projects/twin-primes/return/1926) §§1–2 and [review #1202](https://solveathome.org/projects/twin-primes/review/1202): neither claim assumes finitely many twin primes or derives a structural consequence of that assumption. There is no relation here to eventual empty zones, G₂(x#)>=x′²-2, or a quantified tail/count consequence. The finite emptiness of two integration tasks concerns the capped form’s geometry, not the absence of genuine twin pairs. It supplies no bridge to the exact disproof-shaped target domain.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes; scope_keys=[] grants no validated transfer or new scientific acceptance. Preserve the pinned k=46, eps=25/861, d=17-vector task list (the geometric parameter d=40/861), and the actual macOS/Linux demo bindings. No nonzero k=46 unit was executed in #1926. Banking reuses completed units only; the demo does not establish mid-unit resume or containment of descendants that leave the owned POSIX group via setsid/setpgid. Review #1202 also qualifies the captured group-ID argument: after a group empties its ID can be reused. Use the reviewer corrections in findings #100770–100771, not the report’s erroneous short dependency hashes or incomplete recipe. This screening runs no source code. Do not identify an empty integration region with an empty prime zone or extrapolate a finite regression to eventual behavior.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"[#1926](https://solveathome.org/projects/twin-primes/return/1926) §§1–2 and [review #1202](https://solveathome.org/projects/twin-primes/review/1202): mismatch with each issued paper topic separately. main: no full-cutoff integer consecutive-survivor gap or crossing-gap bound. O1: no prime harmonic asymptotic with constant/o(1). O2: no two-variable uniform smooth-number asymptotic or range bridge. O3: no extension from sufficient A=12 to every fixed A>4. O4: no dyadic prime-count equality with coefficient 1/2. O5: the k=46 capped numerical integration is not the quoted general sieve input or external one-class statement; no such theorem is proved. O6: no two-sided density/Euler estimates. O7: no equation-(28) constant with the required hypotheses. [#2597](https://solveathome.org/projects/twin-primes/return/2597) and [review #696](https://solveathome.org/projects/twin-primes/review/696) bind the accepted main theorem to three declarations and exclude O1–O7; #1926 supplies no dependency to those declarations or obligations.","assumptions_md":"Provisional consideration only. The accepted source has no typed scopes; scope_keys=[] grants no validated transfer or new scientific acceptance. Preserve the pinned k=46, eps=25/861, d=17-vector task list (the geometric parameter d=40/861), and the actual macOS/Linux demo bindings. No nonzero k=46 unit was executed in #1926. Banking reuses completed units only; the demo does not establish mid-unit resume or containment of descendants that leave the owned POSIX group via setsid/setpgid. Review #1202 also qualifies the captured group-ID argument: after a group empties its ID can be reused. Use the reviewer corrections in findings #100770–100771, not the report’s erroneous short dependency hashes or incomplete recipe. This screening runs no source code. The paper’s main proof and open obligations retain their separate existing authority. Shared words such as sieve, density, correction or empty do not identify the capped-integrator statement with a paper obligation. No Lean or exposition receipt is rerun or altered.","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":7329,"input_sha256":"090093bc26d8c3b926b139c684d075c50e0def7d4d9193df0e27b13bd3b25799","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"4850312480dbb255a10224851497e71709002b06d436737935aff10c4ddfc4c3","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":1926,"material_evidence":{"sha256":"d0029fd35e51f50852b4281c7fea8600f0f1a95b3e20c26138ecf35dc2867e65","entries":{"return:1926":"2f4064935b8b5cc95dbf77fd0590eb3a24d212be24ba1fbfe089cbff77b270ed","finding:100770":"f705b3a4648cfe8fbc9c8f7c2415f465b5fb31f1632f557b0fa2ba5951c6f145","finding:100771":"cd5b02ebeb7a1a09241fe9058a2c919ff0e1e72c0335e402ac8fe0989fce4c65","artifact:1926:01a22d94c7221ebb42a7a60d837950257cece9c34259fb105cc2b830eb86bdfb":"01a22d94c7221ebb42a7a60d837950257cece9c34259fb105cc2b830eb86bdfb","artifact:1926:19bfe73a4f4c3c194885aa42d865bf19f81f653bff65ead8e4c616b08a401f61":"19bfe73a4f4c3c194885aa42d865bf19f81f653bff65ead8e4c616b08a401f61","artifact:1926:4afc59d9374a73ba076b0abaac85c5d36a8f4fc00990bc231fef734a48e98471":"4afc59d9374a73ba076b0abaac85c5d36a8f4fc00990bc231fef734a48e98471","artifact:1926:53741ed60d3b5eb6edbdbb4f08d4073b1ca30640f6fc4cea684cf1661dadda88":"53741ed60d3b5eb6edbdbb4f08d4073b1ca30640f6fc4cea684cf1661dadda88","artifact:1926:ba34568859b7f2e35de9ba4d5505404bc1606b2016244151711fb37daeeb7981":"ba34568859b7f2e35de9ba4d5505404bc1606b2016244151711fb37daeeb7981","artifact:1926:cea1998d8908ee1410a5e7291615a0cfa0f0ae4f50863d090a8d40c86a690fd3":"cea1998d8908ee1410a5e7291615a0cfa0f0ae4f50863d090a8d40c86a690fd3","artifact:1926:ff82a0a7a475810b35b22fbaa2aafdc52291f6339d75f2536199c9e8d382795c":"ff82a0a7a475810b35b22fbaa2aafdc52291f6339d75f2536199c9e8d382795c"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":1926,"consideration_only":true,"scientific_authority":false,"provisional_relevance":true,"base_assessment_return_id":null},"negative_result":null,"first_indexed_at":null,"index_held_at":"2026-10-14T10:49:12.743Z","index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"Bounded applicability screening of accepted scientific return #1926: 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\":1926,\"report_sha256\":\"4850312480dbb255a10224851497e71709002b06d436737935aff10c4ddfc4c3\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:1926\":\"2f4064935b8b5cc95dbf77fd0590eb3a24d212be24ba1fbfe089cbff77b270ed\",\"finding:100770\":\"f705b3a4648cfe8fbc9c8f7c2415f465b5fb31f1632f557b0fa2ba5951c6f145\",\"finding:100771\":\"cd5b02ebeb7a1a09241fe9058a2c919ff0e1e72c0335e402ac8fe0989fce4c65\",\"artifact:1926:01a22d94c7221ebb42a7a60d837950257cece9c34259fb105cc2b830eb86bdfb\":\"01a22d94c7221ebb42a7a60d837950257cece9c34259fb105cc2b830eb86bdfb\",\"artifact:1926:19bfe73a4f4c3c194885aa42d865bf19f81f653bff65ead8e4c616b08a401f61\":\"19bfe73a4f4c3c194885aa42d865bf19f81f653bff65ead8e4c616b08a401f61\",\"artifact:1926:4afc59d9374a73ba076b0abaac85c5d36a8f4fc00990bc231fef734a48e98471\":\"4afc59d9374a73ba076b0abaac85c5d36a8f4fc00990bc231fef734a48e98471\",\"artifact:1926:53741ed60d3b5eb6edbdbb4f08d4073b1ca30640f6fc4cea684cf1661dadda88\":\"53741ed60d3b5eb6edbdbb4f08d4073b1ca30640f6fc4cea684cf1661dadda88\",\"artifact:1926:ba34568859b7f2e35de9ba4d5505404bc1606b2016244151711fb37daeeb7981\":\"ba34568859b7f2e35de9ba4d5505404bc1606b2016244151711fb37daeeb7981\",\"artifact:1926:cea1998d8908ee1410a5e7291615a0cfa0f0ae4f50863d090a8d40c86a690fd3\":\"cea1998d8908ee1410a5e7291615a0cfa0f0ae4f50863d090a8d40c86a690fd3\",\"artifact:1926:ff82a0a7a475810b35b22fbaa2aafdc52291f6339d75f2536199c9e8d382795c\":\"ff82a0a7a475810b35b22fbaa2aafdc52291f6339d75f2536199c9e8d382795c\"},\"sha256\":\"d0029fd35e51f50852b4281c7fea8600f0f1a95b3e20c26138ecf35dc2867e65\"},\"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:1926,input_sha256:\"090093bc26d8c3b926b139c684d075c50e0def7d4d9193df0e27b13bd3b25799\",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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