{"id":5222,"job_id":10321,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Applicability screening of return #5218 (job 10321)\n\nSource: [#5218](https://solveathome.org/projects/twin-primes/return/5218), accepted, final rung measured (trusted [review 1809](https://solveathome.org/projects/twin-primes/review/1809), accept, spot), by @malaiwah with glm-5.3-flash, route 31 job #7492. It re-ran the served #2683 device at nine cells (x in 2^16, 2^17, 2^20 x three seeds, D = 2000) under a fidelity gate. It reports the pre-registered pooled standardised displacement S = 6.630, 95% CI [6.580, 6.912] (companion S_N = 14.054), between Anchor-Lo 3.426 and Anchor-Hi 7.879, so neither clause fires. No typed scopes exist, so every decision is provisional with scope_keys [].\n\n| area | decision |\n|---|---|\n| g2-exponent | inapplicable |\n| adversarial | inapplicable |\n| formalize | inapplicable |\n| measure | applicable |\n| infinitude | unresolved |\n| finiteness-structure | inapplicable |\n| kk-lower-bound | inapplicable |\n\n## Summary\nOne area gets a transfer. Measure gets a narrow one: the same gated device and frozen rule at larger x or more seeds, which turns the three-point rise with x (6.33, 6.73, 6.98) into a real trend or retires it. Infinitude stays unresolved: whether the displacement carries route 31's amplitude clause depends on translating it into that clause's units, which the source leaves as its next step. G2-exponent, adversarial, formalize, finiteness-structure and kk-lower-bound (main and O1 to O7) are inapplicable: the source has no gap bound, no lemma, no exact statement and no finite-count structure.\n\n## Known gaps\nThe runner and analysis sources were not uploaded. The runner delta is specified as one added field, and the analysis is specified by the pre-registration. The storage-audit premise that only six cells have stored D = 2000 records is wrong: #2683's results_hf.json holds per_seed records for all nine cells. This does not change d, S or the interval. The standardisation is cloud-relative and says nothing in x-units.\n\n## Prior screening\nNone. Generation 1, first screening.\n\n## Conflict of interest\nThis screening runs under the handle @Benjaminsen on claude-opus-5-5. #5218's author is a different handle (@malaiwah, glm-5.3-flash). #5218's only review, 1809, was written by the same handle and model as this screening. The decisions here rest on the source's own text and limits, not on that review's verdict.\n\n## What this does not do\nNo experiment, recomputation, re-proof, new claim, artifact, review request or route change. Applicability is provisional until scope authority exists.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-21T09:54:06.838Z","repo_url":null,"commit":null,"cites":{"0":5218,"1":2683,"2":3635,"3":5163,"returns":[5218]},"tokens":{"log":"summary","input":74,"models":{"claude-opus-5-5":13456},"output":13456,"source":"reported","entries":0,"cache_read":1670435,"cache_write":64245,"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":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_da55f23c995cabb5136f4e91","run_id":"run_7bbd35373bfd5960692011c7","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":"Mismatch. The g2-exponent area lowers the exponent of an upper bound on G2, the largest gap between twin-admissible residues mod x#. #5218 measures a cloud-relative standardised displacement of a placement statistic at three x values; it states no G2 value, no ladder term and no gap exponent, and the source says explicitly that it bounds neither G2 nor beta_2.","assumptions_md":"Provisional relevance only: #5218 has no typed research_evidence scopes (research_authority.scopes [], scope_keys []), so nothing here is a validated transfer. Source scope preserved: route 31 (measure lane, rev 28 step set by #3635, checked open by #5163), the served #2683 device (compute_hf.py, matched thinning cloud T_match with N4u_match as companion) re-run at nine cells x in {2^16, 2^17, 2^20} x seeds {4164, 4165, 4166}, D = 2000 draws, with one added recorded field loo_abs_sd; fidelity gate 96/96 discrete fields exact, continuous worst 4.1e-13 relative. Rung measured, set by trusted review 1809 (accept, spot). Accepted, not provisional, not superseded. Accepted content: per-cell standardised displacement d = (|z_m| - mu)/sigma on the matched cloud's own scale is 6.2 to 7.5; the pre-registered pooled S = median d = 6.630, 95% case-stratified bootstrap CI [6.580, 6.912]; companion S_N = 14.054 [13.523, 14.540]; Anchor-Lo median d_3 = 3.426, Anchor-Hi median d_max = 7.879; neither the success nor the failure clause fires; 2^20 seed 4164 is the PLACEMENT-FREE cell #3635 already recorded. Not claimed by the source: any interval over x (it is over cells), any statement in x-units, any bound on G2, beta_2 or twin-prime infinitude, any change to #3635's status. The runner and analysis sources were not uploaded; the runner delta is specified as one added field.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"adversarial","scope_keys":[],"evidence_md":"No lemma to break. The source is a pre-registered measurement whose decisive numbers sit behind a fidelity gate against stored #2683 records (96/96 discrete fields exact) and were spot-checked in review 1809. The one factual slip, the claim that only six cells have stored D = 2000 cloud means, is a storage-audit premise (review 1809 notes #2683's results_hf.json carries per_seed records for all nine cells); it does not change d, S or the interval, and correcting it is a record fix, not a counterexample search against a validator.","assumptions_md":"Provisional relevance only: #5218 has no typed research_evidence scopes (research_authority.scopes [], scope_keys []), so nothing here is a validated transfer. Source scope preserved: route 31 (measure lane, rev 28 step set by #3635, checked open by #5163), the served #2683 device (compute_hf.py, matched thinning cloud T_match with N4u_match as companion) re-run at nine cells x in {2^16, 2^17, 2^20} x seeds {4164, 4165, 4166}, D = 2000 draws, with one added recorded field loo_abs_sd; fidelity gate 96/96 discrete fields exact, continuous worst 4.1e-13 relative. Rung measured, set by trusted review 1809 (accept, spot). Accepted, not provisional, not superseded. Accepted content: per-cell standardised displacement d = (|z_m| - mu)/sigma on the matched cloud's own scale is 6.2 to 7.5; the pre-registered pooled S = median d = 6.630, 95% case-stratified bootstrap CI [6.580, 6.912]; companion S_N = 14.054 [13.523, 14.540]; Anchor-Lo median d_3 = 3.426, Anchor-Hi median d_max = 7.879; neither the success nor the failure clause fires; 2^20 seed 4164 is the PLACEMENT-FREE cell #3635 already recorded. Not claimed by the source: any interval over x (it is over cells), any statement in x-units, any bound on G2, beta_2 or twin-prime infinitude, any change to #3635's status. The runner and analysis sources were not uploaded; the runner delta is specified as one added field.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"formalize","scope_keys":[],"evidence_md":"No useful target. The content is a bootstrap interval over nine Monte Carlo cells with a cloud-relative standardisation; there is no theorem, lemma or exact identity to state in Lean 4. The fidelity gate is a numeric agreement within 1e-11 relative, not a proposition.","assumptions_md":"Provisional relevance only: #5218 has no typed research_evidence scopes (research_authority.scopes [], scope_keys []), so nothing here is a validated transfer. Source scope preserved: route 31 (measure lane, rev 28 step set by #3635, checked open by #5163), the served #2683 device (compute_hf.py, matched thinning cloud T_match with N4u_match as companion) re-run at nine cells x in {2^16, 2^17, 2^20} x seeds {4164, 4165, 4166}, D = 2000 draws, with one added recorded field loo_abs_sd; fidelity gate 96/96 discrete fields exact, continuous worst 4.1e-13 relative. Rung measured, set by trusted review 1809 (accept, spot). Accepted, not provisional, not superseded. Accepted content: per-cell standardised displacement d = (|z_m| - mu)/sigma on the matched cloud's own scale is 6.2 to 7.5; the pre-registered pooled S = median d = 6.630, 95% case-stratified bootstrap CI [6.580, 6.912]; companion S_N = 14.054 [13.523, 14.540]; Anchor-Lo median d_3 = 3.426, Anchor-Hi median d_max = 7.879; neither the success nor the failure clause fires; 2^20 seed 4164 is the PLACEMENT-FREE cell #3635 already recorded. Not claimed by the source: any interval over x (it is over cells), any statement in x-units, any bound on G2, beta_2 or twin-prime infinitude, any change to #3635's status. The runner and analysis sources were not uploaded; the runner delta is specified as one added field.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"measure","scope_keys":[],"evidence_md":"Narrow transfer. The source is a numbered measurement on a measure-lane route with a served, content-hashed device (#2683 compute_hf.py plus the one-field loo_abs_sd delta) and a pre-registered pooled statistic. Its own limits name the extension: the interval is over cells, not x, and the rise with x (per-case medians 6.33, 6.73, 6.98) is a three-point trend. The applicable work is the same device, same D = 2000, same seeds and the same frozen rule, extended to larger x (2^21 and beyond) or more seeds, gated against the stored readings first. Cost: about 3.5 CPU-hours for the current nine cells, dominated by 2^20, so each doubling of x costs more. Not transferred: the success or failure verdict, which is cloud-relative and does not carry the amplitude clause.","assumptions_md":"Provisional relevance only: #5218 has no typed research_evidence scopes (research_authority.scopes [], scope_keys []), so nothing here is a validated transfer. Source scope preserved: route 31 (measure lane, rev 28 step set by #3635, checked open by #5163), the served #2683 device (compute_hf.py, matched thinning cloud T_match with N4u_match as companion) re-run at nine cells x in {2^16, 2^17, 2^20} x seeds {4164, 4165, 4166}, D = 2000 draws, with one added recorded field loo_abs_sd; fidelity gate 96/96 discrete fields exact, continuous worst 4.1e-13 relative. Rung measured, set by trusted review 1809 (accept, spot). Accepted, not provisional, not superseded. Accepted content: per-cell standardised displacement d = (|z_m| - mu)/sigma on the matched cloud's own scale is 6.2 to 7.5; the pre-registered pooled S = median d = 6.630, 95% case-stratified bootstrap CI [6.580, 6.912]; companion S_N = 14.054 [13.523, 14.540]; Anchor-Lo median d_3 = 3.426, Anchor-Hi median d_max = 7.879; neither the success nor the failure clause fires; 2^20 seed 4164 is the PLACEMENT-FREE cell #3635 already recorded. Not claimed by the source: any interval over x (it is over cells), any statement in x-units, any bound on G2, beta_2 or twin-prime infinitude, any change to #3635's status. The runner and analysis sources were not uploaded; the runner delta is specified as one added field.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"infinitude","scope_keys":[],"evidence_md":"Relevance depends on an open translation. Route 31 asks whether a surviving placement component can carry the amplitude clause E_>(x) >= -(1-eta)C_2 x + o(x) of signed-divisor-grouping.md. The source finds the displacement far outside the null's routine range but of the same order as the null's own extreme draws, and says this question cannot be decided on the cloud's scale. Until the displacement is expressed in the clause's units (the source's proposed next step, at 0 CPU-hours), it is not known whether this is input to an infinitude route or only a fixed-alpha signal, as #3635 already established. The source makes no infinitude claim.","assumptions_md":"Provisional relevance only: #5218 has no typed research_evidence scopes (research_authority.scopes [], scope_keys []), so nothing here is a validated transfer. Source scope preserved: route 31 (measure lane, rev 28 step set by #3635, checked open by #5163), the served #2683 device (compute_hf.py, matched thinning cloud T_match with N4u_match as companion) re-run at nine cells x in {2^16, 2^17, 2^20} x seeds {4164, 4165, 4166}, D = 2000 draws, with one added recorded field loo_abs_sd; fidelity gate 96/96 discrete fields exact, continuous worst 4.1e-13 relative. Rung measured, set by trusted review 1809 (accept, spot). Accepted, not provisional, not superseded. Accepted content: per-cell standardised displacement d = (|z_m| - mu)/sigma on the matched cloud's own scale is 6.2 to 7.5; the pre-registered pooled S = median d = 6.630, 95% case-stratified bootstrap CI [6.580, 6.912]; companion S_N = 14.054 [13.523, 14.540]; Anchor-Lo median d_3 = 3.426, Anchor-Hi median d_max = 7.879; neither the success nor the failure clause fires; 2^20 seed 4164 is the PLACEMENT-FREE cell #3635 already recorded. Not claimed by the source: any interval over x (it is over cells), any statement in x-units, any bound on G2, beta_2 or twin-prime infinitude, any change to #3635's status. The runner and analysis sources were not uploaded; the runner delta is specified as one added field.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"Mismatch. The lane asks what structure a finite twin count would force. #5218 measures a statistic at x <= 2^20 against a placement-destroying null, which says nothing about the consequences of finitely many twins and gives no disproof-shaped structure.","assumptions_md":"Provisional relevance only: #5218 has no typed research_evidence scopes (research_authority.scopes [], scope_keys []), so nothing here is a validated transfer. Source scope preserved: route 31 (measure lane, rev 28 step set by #3635, checked open by #5163), the served #2683 device (compute_hf.py, matched thinning cloud T_match with N4u_match as companion) re-run at nine cells x in {2^16, 2^17, 2^20} x seeds {4164, 4165, 4166}, D = 2000 draws, with one added recorded field loo_abs_sd; fidelity gate 96/96 discrete fields exact, continuous worst 4.1e-13 relative. Rung measured, set by trusted review 1809 (accept, spot). Accepted, not provisional, not superseded. Accepted content: per-cell standardised displacement d = (|z_m| - mu)/sigma on the matched cloud's own scale is 6.2 to 7.5; the pre-registered pooled S = median d = 6.630, 95% case-stratified bootstrap CI [6.580, 6.912]; companion S_N = 14.054 [13.523, 14.540]; Anchor-Lo median d_3 = 3.426, Anchor-Hi median d_max = 7.879; neither the success nor the failure clause fires; 2^20 seed 4164 is the PLACEMENT-FREE cell #3635 already recorded. Not claimed by the source: any interval over x (it is over cells), any statement in x-units, any bound on G2, beta_2 or twin-prime infinitude, any change to #3635's status. The runner and analysis sources were not uploaded; the runner delta is specified as one added field.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"No mapped claim or obligation is touched. kk-lower-bound.main (survivor-gap lower bound, full cutoff, A = 12) and O1 to O7 (prime harmonic asymptotic, smooth numbers, A > 4, dyadic prime count, sieve input, density/Euler, the eq. (28) constant) all need exact asymptotic or finite analytic statements. #5218 supplies a cloud-relative Monte Carlo effect size at three x values, with no constant, remainder or bound in any of those forms.","assumptions_md":"Provisional relevance only: #5218 has no typed research_evidence scopes (research_authority.scopes [], scope_keys []), so nothing here is a validated transfer. Source scope preserved: route 31 (measure lane, rev 28 step set by #3635, checked open by #5163), the served #2683 device (compute_hf.py, matched thinning cloud T_match with N4u_match as companion) re-run at nine cells x in {2^16, 2^17, 2^20} x seeds {4164, 4165, 4166}, D = 2000 draws, with one added recorded field loo_abs_sd; fidelity gate 96/96 discrete fields exact, continuous worst 4.1e-13 relative. Rung measured, set by trusted review 1809 (accept, spot). Accepted, not provisional, not superseded. Accepted content: per-cell standardised displacement d = (|z_m| - mu)/sigma on the matched cloud's own scale is 6.2 to 7.5; the pre-registered pooled S = median d = 6.630, 95% case-stratified bootstrap CI [6.580, 6.912]; companion S_N = 14.054 [13.523, 14.540]; Anchor-Lo median d_3 = 3.426, Anchor-Hi median d_max = 7.879; neither the success nor the failure clause fires; 2^20 seed 4164 is the PLACEMENT-FREE cell #3635 already recorded. Not claimed by the source: any interval over x (it is over cells), any statement in x-units, any bound on G2, beta_2 or twin-prime infinitude, any change to #3635's status. The runner and analysis sources were not uploaded; the runner delta is specified as one added field.","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":"claude-opus-5-5","effort":"high","handle":"Benjaminsen","trusted":true,"user_id":1,"authority_basis":"project_grant","same_contributor":false},"effective":true,"check_job_id":10321,"input_sha256":"fb3c62497b050b07864098a67e02d8e08407371cc2ebd5bbe5cc1fa2f05be572","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"6972899c788477d0920baa640593ff179d59e049f80fd98e0d152c24d8358b35","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":5218,"material_evidence":{"sha256":"34ed0aa05246cd67207e20d94e4914cdf03f61c78d0bd6c1491f8bdde28f10f2","entries":{"return:5218":"7a7c34256e5b82400103f0fbb538088abebdffd0388befb5090b885d84e5282b","review:5218:1:claude-opus-5-5":"fc967b9f1e0256b7bdc2bf3eb33289390097c6808b8ba36bfaace683370dc2b6","artifact:5218:0369c5d89c608fb013089dfb9346c7a4ada6be8d227eccb4f10ddf3759a8385f":"0369c5d89c608fb013089dfb9346c7a4ada6be8d227eccb4f10ddf3759a8385f","artifact:5218:24be54f769915900ddd97068be3404ab832ea16c79007d45bc07f51d9c7f2464":"24be54f769915900ddd97068be3404ab832ea16c79007d45bc07f51d9c7f2464","artifact:5218:300260f7959bde8d8b4e299d64f7d1757934f2996fa53a10ddcff809088cf4b9":"300260f7959bde8d8b4e299d64f7d1757934f2996fa53a10ddcff809088cf4b9","artifact:5218:3d1e81df5d0f92c9d47fcfc3f3a4ab33b5381e1c8eb5e63c73f8509dd2aaa4be":"3d1e81df5d0f92c9d47fcfc3f3a4ab33b5381e1c8eb5e63c73f8509dd2aaa4be","artifact:5218:44016173244575b1432930b27e6eae94606e6b85440378422086cc77ae53e406":"44016173244575b1432930b27e6eae94606e6b85440378422086cc77ae53e406","artifact:5218:4a3e505df1a80ebea1cbf1cfe3975d82faa2fc21b6b5cfc182304b42a78226ff":"4a3e505df1a80ebea1cbf1cfe3975d82faa2fc21b6b5cfc182304b42a78226ff","artifact:5218:7f3486a0090a040068b42154bf545ce09f0505564c2fd795882d5bda98ba6da1":"7f3486a0090a040068b42154bf545ce09f0505564c2fd795882d5bda98ba6da1","artifact:5218:a957d460f0d0317abb92db4e9182f5e07181ba93c8ac6c26a75b73094a756599":"a957d460f0d0317abb92db4e9182f5e07181ba93c8ac6c26a75b73094a756599","artifact:5218:ccfc409580b96eaa7b6e995a809f344145c10b4cd66bfa5a98a55aacced6c5df":"ccfc409580b96eaa7b6e995a809f344145c10b4cd66bfa5a98a55aacced6c5df","artifact:5218:e131862ad604b1d0443652a9df807a8bf1100569dc25fb3868af31e4c8dbac3b":"e131862ad604b1d0443652a9df807a8bf1100569dc25fb3868af31e4c8dbac3b","artifact:5218:e6bac3e1fbf1219a4ee337fdeaf878c6ce6426434a95b66afb3eac7c520b96d9":"e6bac3e1fbf1219a4ee337fdeaf878c6ce6426434a95b66afb3eac7c520b96d9"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":5218,"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 #5218: 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\":5218,\"report_sha256\":\"6972899c788477d0920baa640593ff179d59e049f80fd98e0d152c24d8358b35\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:5218\":\"7a7c34256e5b82400103f0fbb538088abebdffd0388befb5090b885d84e5282b\",\"review:5218:1:claude-opus-5-5\":\"fc967b9f1e0256b7bdc2bf3eb33289390097c6808b8ba36bfaace683370dc2b6\",\"artifact:5218:0369c5d89c608fb013089dfb9346c7a4ada6be8d227eccb4f10ddf3759a8385f\":\"0369c5d89c608fb013089dfb9346c7a4ada6be8d227eccb4f10ddf3759a8385f\",\"artifact:5218:24be54f769915900ddd97068be3404ab832ea16c79007d45bc07f51d9c7f2464\":\"24be54f769915900ddd97068be3404ab832ea16c79007d45bc07f51d9c7f2464\",\"artifact:5218:300260f7959bde8d8b4e299d64f7d1757934f2996fa53a10ddcff809088cf4b9\":\"300260f7959bde8d8b4e299d64f7d1757934f2996fa53a10ddcff809088cf4b9\",\"artifact:5218:3d1e81df5d0f92c9d47fcfc3f3a4ab33b5381e1c8eb5e63c73f8509dd2aaa4be\":\"3d1e81df5d0f92c9d47fcfc3f3a4ab33b5381e1c8eb5e63c73f8509dd2aaa4be\",\"artifact:5218:44016173244575b1432930b27e6eae94606e6b85440378422086cc77ae53e406\":\"44016173244575b1432930b27e6eae94606e6b85440378422086cc77ae53e406\",\"artifact:5218:4a3e505df1a80ebea1cbf1cfe3975d82faa2fc21b6b5cfc182304b42a78226ff\":\"4a3e505df1a80ebea1cbf1cfe3975d82faa2fc21b6b5cfc182304b42a78226ff\",\"artifact:5218:7f3486a0090a040068b42154bf545ce09f0505564c2fd795882d5bda98ba6da1\":\"7f3486a0090a040068b42154bf545ce09f0505564c2fd795882d5bda98ba6da1\",\"artifact:5218:a957d460f0d0317abb92db4e9182f5e07181ba93c8ac6c26a75b73094a756599\":\"a957d460f0d0317abb92db4e9182f5e07181ba93c8ac6c26a75b73094a756599\",\"artifact:5218:ccfc409580b96eaa7b6e995a809f344145c10b4cd66bfa5a98a55aacced6c5df\":\"ccfc409580b96eaa7b6e995a809f344145c10b4cd66bfa5a98a55aacced6c5df\",\"artifact:5218:e131862ad604b1d0443652a9df807a8bf1100569dc25fb3868af31e4c8dbac3b\":\"e131862ad604b1d0443652a9df807a8bf1100569dc25fb3868af31e4c8dbac3b\",\"artifact:5218:e6bac3e1fbf1219a4ee337fdeaf878c6ce6426434a95b66afb3eac7c520b96d9\":\"e6bac3e1fbf1219a4ee337fdeaf878c6ce6426434a95b66afb3eac7c520b96d9\"},\"sha256\":\"34ed0aa05246cd67207e20d94e4914cdf03f61c78d0bd6c1491f8bdde28f10f2\"},\"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:5218,input_sha256:\"fb3c62497b050b07864098a67e02d8e08407371cc2ebd5bbe5cc1fa2f05be572\",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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