{"id":3488,"job_id":7185,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Applicability screening of return #3475 (job 7185)\n\nSource: #3475 (adversarial lane, job 7136, no route; accepted at measured by trusted review #1125; report sha256 b2a6bd50...e2f). The snapshot is current: the report sha256 matches, the status is accepted with final_rung measured, there are no typed scopes and no prior screening. Disclosures: #3475 was authored under this department's handle (@Benjaminsen, by a different model), and review #1125, which accepted it, came from this department's job 7182; the decision is flagged decided_by_author_handle. This screening is a third look from the same department. It relies only on the source report, its served artifacts list and review #1125, and adds no judgment of scientific validity.\n\n| area | decision |\n|---|---|\n| g2-exponent | inapplicable |\n| adversarial | applicable (provisional, scope_keys []) |\n| formalize | inapplicable |\n| measure | inapplicable |\n| infinitude | inapplicable |\n| finiteness-structure | inapplicable |\n| kk-lower-bound (main, O1-O7) | inapplicable |\n\n## Summary\n#3475 is an adversarial check of the recorded absolute-mass verdict of the global smooth-majorant note. The parts accepted by #1125 are: exact profile data, identity (7) on 305 exact fixtures, the ten-prime witness Fhat = -84 at x = 10^30, nonmultiplicativity (all VERIFIED); and harmonic mass, the w_T pair ratio and zero majorant violations, at x <= 10^6 only (MEASURED). These are in-domain evidence for the adversarial area as a negative counterexample search plus a constructive witness. The section-2 \"constant floor >= 30 C2\" is refuted as worded: Fhat_R is identically 1 at the measured scales. It is not carried into any entry. No other area's domain is touched. The absolute-mass line is already REFUTED in the OUTCOMES closed-routes register. The finite measurements extend no numbered script, and nothing addresses G2, finiteness structure, Lean or the kk-lower-bound obligations.\n\n## What this does not do\nNo experiment, recomputation, new claim, artifact, review request or route change. Every entry is provisional (scope_keys []) and none is a validated transfer. The adversarial entry inherits #1125's narrowing (finite range only; finite proxies do not validate (14) or an O(x) constant; floor claim excluded). The only gap recorded is the missing typed scope authority. No new work is requested: the source's signed-test proposal at non-degenerate scales stays the author's proposal and is subject to ordinary review.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-13T11:32:31.340Z","repo_url":null,"commit":null,"cites":{"returns":[3475]},"tokens":{"log":"summary","input":64,"models":{"claude-opus-5-5":16151},"output":16151,"source":"reported","entries":0,"cache_read":1437388,"cache_write":64213,"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_6a1fed34eac356fe9b64f772","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 area asks for a lower unconditional G2 upper-bound exponent. #3475 checks the recorded absolute-mass verdict of the global smooth-majorant note (an upper bound on sum |Fhat_L(n)Fhat_R(n-2)| and its prime-power transfer); it states no bound on G2, no exponent and no gap statement, and its finite measurements at x <= 10^6 bear on no exponent.","assumptions_md":"Provisional relevance only: #3475 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer; the missing scope authority is an open validation condition, not a request for a new experiment or review. Source scope preserved as accepted by trusted review #1125 (rung measured, finite range only): VERIFIED - the C3 taper profile data (endpoint derivatives, density integral 1), the finite-difference identity (7) on 305 exact-integer fixture cases, the ten-prime witness Fhat = -84 at x = 10^30, and the nonmultiplicativity counterexample w_T(210) > w_T(30)w_T(7); MEASURED for x <= 10^6 only - harmonic mass 3.54..3.90, sum w_T(n)w_T(n-2) = (16.1..23.4) x/T^2, zero violations of the majorant (6) up to 2e5. Excluded: the section-2 'constant floor >= 30 C2' claim, refuted as worded by #1125 (at x = 10^4 and 10^5 the right cutoff window x^.04..x^.05 lies below 2, so Fhat_R is identically 1 and the measured regime does not exercise (14)). Finite proxies do not validate the asymptotic (14) or any O(x) constant.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Bridge, provisional. The area is counterexample search against accepted lemmas and validators, and #3475 is exactly such a record (it was produced in this lane, job 7136): an independent adversarial check of the registry row Q-global-smooth-majorant (PARTIAL) and its notes global-smooth-majorant.md / global-factor-signs.md. Usable existing evidence: (a) a negative counterexample search - zero violations of the pointwise majorant (6) for n <= 2e5 (worst |Fhat_i|/w_T = 268.9 against C_L = 8.2e5) and over 583 structured prime products; (b) exact re-confirmations of the profile data and identity (7); (c) a constructive realisation of the note's recorded ten-prime counterexample (Fhat = -84 at x = 10^30, all samples on constant parts of the taper) and of the nonmultiplicativity counterexample. Review #1125 accepted these as a legitimate adversarial check that largely re-confirms the note and its existing exact controls (global-smooth-majorant-validation.js). Nothing accepted was broken; the only new claim (the constant floor) is refuted and is not carried. Coverage stays finite (n <= 2e5 for (6), x <= 10^6 for the measurements).","assumptions_md":"Provisional relevance only: #3475 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer; the missing scope authority is an open validation condition, not a request for a new experiment or review. Source scope preserved as accepted by trusted review #1125 (rung measured, finite range only): VERIFIED - the C3 taper profile data (endpoint derivatives, density integral 1), the finite-difference identity (7) on 305 exact-integer fixture cases, the ten-prime witness Fhat = -84 at x = 10^30, and the nonmultiplicativity counterexample w_T(210) > w_T(30)w_T(7); MEASURED for x <= 10^6 only - harmonic mass 3.54..3.90, sum w_T(n)w_T(n-2) = (16.1..23.4) x/T^2, zero violations of the majorant (6) up to 2e5. Excluded: the section-2 'constant floor >= 30 C2' claim, refuted as worded by #1125 (at x = 10^4 and 10^5 the right cutoff window x^.04..x^.05 lies below 2, so Fhat_R is identically 1 and the measured regime does not exercise (14)). Finite proxies do not validate the asymptotic (14) or any O(x) constant.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"formalize","scope_keys":[],"evidence_md":"Mismatch. The area formalises accepted lemmas in Lean 4. #3475 carries no Lean content and proves no lemma: identity (7) and the majorant (6) are the note's statements, and #3475 adds only finite exact-arithmetic fixture checks (305 cases) and exact rational profile data. These could serve as test fixtures for a future formalisation of the note's lemmas, but that is a property of the note, not a bridge from this source.","assumptions_md":"Provisional relevance only: #3475 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer; the missing scope authority is an open validation condition, not a request for a new experiment or review. Source scope preserved as accepted by trusted review #1125 (rung measured, finite range only): VERIFIED - the C3 taper profile data (endpoint derivatives, density integral 1), the finite-difference identity (7) on 305 exact-integer fixture cases, the ten-prime witness Fhat = -84 at x = 10^30, and the nonmultiplicativity counterexample w_T(210) > w_T(30)w_T(7); MEASURED for x <= 10^6 only - harmonic mass 3.54..3.90, sum w_T(n)w_T(n-2) = (16.1..23.4) x/T^2, zero violations of the majorant (6) up to 2e5. Excluded: the section-2 'constant floor >= 30 C2' claim, refuted as worded by #1125 (at x = 10^4 and 10^5 the right cutoff window x^.04..x^.05 lies below 2, so Fhat_R is identically 1 and the measured regime does not exercise (14)). Finite proxies do not validate the asymptotic (14) or any O(x) constant.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"measure","scope_keys":[],"evidence_md":"Mismatch. The area extends numbered measurement scripts to larger ranges. #3475's measurements come from its own new scripts (compute_aw.py, check_aw.py) at x = 10^3..10^6 at the note's cutoffs; they extend no numbered measurement script's range. Its stated next step (a signed pair-sum test, meaningful only where both cutoff windows are non-degenerate, x >= 2^25, about 3.4e7, per #1125) is a proposal that has not been executed, and an extension of the accepted finite scope would need ordinary scientific review.","assumptions_md":"Provisional relevance only: #3475 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer; the missing scope authority is an open validation condition, not a request for a new experiment or review. Source scope preserved as accepted by trusted review #1125 (rung measured, finite range only): VERIFIED - the C3 taper profile data (endpoint derivatives, density integral 1), the finite-difference identity (7) on 305 exact-integer fixture cases, the ten-prime witness Fhat = -84 at x = 10^30, and the nonmultiplicativity counterexample w_T(210) > w_T(30)w_T(7); MEASURED for x <= 10^6 only - harmonic mass 3.54..3.90, sum w_T(n)w_T(n-2) = (16.1..23.4) x/T^2, zero violations of the majorant (6) up to 2e5. Excluded: the section-2 'constant floor >= 30 C2' claim, refuted as worded by #1125 (at x = 10^4 and 10^5 the right cutoff window x^.04..x^.05 lies below 2, so Fhat_R is identically 1 and the measured regime does not exercise (14)). Finite proxies do not validate the asymptotic (14) or any O(x) constant.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"Mismatch. The area is routes toward infinitude that are not in the refuted registry. #3475 opens no route: it leaves the sufficient signed margin (17) explicitly OPEN and estimates no sign. The line it bears on - bounding the absolute or negative mass below C2 x - is already in the OUTCOMES closed-routes register as REFUTED (2026-09-06, switching-negative-mass.md section 5), and the note's own section 6 says the same majorant cannot supply (17). The one statement that would have bounded this route further (the constant floor) is refuted as worded by #1125.","assumptions_md":"Provisional relevance only: #3475 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer; the missing scope authority is an open validation condition, not a request for a new experiment or review. Source scope preserved as accepted by trusted review #1125 (rung measured, finite range only): VERIFIED - the C3 taper profile data (endpoint derivatives, density integral 1), the finite-difference identity (7) on 305 exact-integer fixture cases, the ten-prime witness Fhat = -84 at x = 10^30, and the nonmultiplicativity counterexample w_T(210) > w_T(30)w_T(7); MEASURED for x <= 10^6 only - harmonic mass 3.54..3.90, sum w_T(n)w_T(n-2) = (16.1..23.4) x/T^2, zero violations of the majorant (6) up to 2e5. Excluded: the section-2 'constant floor >= 30 C2' claim, refuted as worded by #1125 (at x = 10^4 and 10^5 the right cutoff window x^.04..x^.05 lies below 2, so Fhat_R is identically 1 and the measured regime does not exercise (14)). Finite proxies do not validate the asymptotic (14) or any O(x) constant.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"Mismatch. #3475 says nothing about what a finite twin-prime count would force. Its content is limited to finite checks of an upper-bound majorant and of exact identities on smoothed Moebius-type coefficients; it makes no conditional or disproof-shaped statement.","assumptions_md":"Provisional relevance only: #3475 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer; the missing scope authority is an open validation condition, not a request for a new experiment or review. Source scope preserved as accepted by trusted review #1125 (rung measured, finite range only): VERIFIED - the C3 taper profile data (endpoint derivatives, density integral 1), the finite-difference identity (7) on 305 exact-integer fixture cases, the ten-prime witness Fhat = -84 at x = 10^30, and the nonmultiplicativity counterexample w_T(210) > w_T(30)w_T(7); MEASURED for x <= 10^6 only - harmonic mass 3.54..3.90, sum w_T(n)w_T(n-2) = (16.1..23.4) x/T^2, zero violations of the majorant (6) up to 2e5. Excluded: the section-2 'constant floor >= 30 C2' claim, refuted as worded by #1125 (at x = 10^4 and 10^5 the right cutoff window x^.04..x^.05 lies below 2, so Fhat_R is identically 1 and the measured regime does not exercise (14)). Finite proxies do not validate the asymptotic (14) or any O(x) constant.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"Mismatch for kk-lower-bound.main and for each obligation O1-O7 (survivor-gap lower bound with A = 12, prime harmonic asymptotic, uniform smooth-number asymptotic, fixed A > 4, dyadic prime count with coefficient 1/2, sieve input / one-class statement, two-sided density/Euler estimates, the eq. (28) constant). #3475's harmonic-mass figures (3.54..3.90) are finite measurements of the note's own weight sum (8), not a prime harmonic asymptotic, and its products of primes near x^(1/k) are test inputs, not a smooth-number estimate. No designated declaration of the paper is addressed.","assumptions_md":"Provisional relevance only: #3475 declares no typed research_evidence scopes (research_authority.scopes = []), so scope_keys is [] and nothing here is a validated transfer; the missing scope authority is an open validation condition, not a request for a new experiment or review. Source scope preserved as accepted by trusted review #1125 (rung measured, finite range only): VERIFIED - the C3 taper profile data (endpoint derivatives, density integral 1), the finite-difference identity (7) on 305 exact-integer fixture cases, the ten-prime witness Fhat = -84 at x = 10^30, and the nonmultiplicativity counterexample w_T(210) > w_T(30)w_T(7); MEASURED for x <= 10^6 only - harmonic mass 3.54..3.90, sum w_T(n)w_T(n-2) = (16.1..23.4) x/T^2, zero violations of the majorant (6) up to 2e5. Excluded: the section-2 'constant floor >= 30 C2' claim, refuted as worded by #1125 (at x = 10^4 and 10^5 the right cutoff window x^.04..x^.05 lies below 2, so Fhat_R is identically 1 and the measured regime does not exercise (14)). Finite proxies do not validate the asymptotic (14) or any O(x) constant.","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":true},"effective":true,"check_job_id":7185,"input_sha256":"f5ca4817eb4c68032add328eabbf078bed8f3c449145dcf870ca4633001e54e9","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"b2a6bd50d09e9401d48ae6f945a24fa6eddae2f2bd4e37a112150b3d77890e2f","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":3475,"material_evidence":{"sha256":"101372ef62c0a89f0e180f5cba37ea0880f20d5c4fcc0e025bb4f556b536c21d","entries":{"return:3475":"aa269293d8bfa26b6aac8465b0aa78adf61256f746ac4cd6cf3405414d5688e7","artifact:3475:02f764ca887d9153a587ad080a7e5edfe6029bb003a5faf3b28b3542899bb034":"02f764ca887d9153a587ad080a7e5edfe6029bb003a5faf3b28b3542899bb034","artifact:3475:0d326d55431ee5033fe3cb9f3252ae36d66bed5d3318bc16d5285d51ec4e0866":"0d326d55431ee5033fe3cb9f3252ae36d66bed5d3318bc16d5285d51ec4e0866","artifact:3475:248abac639637229b6f1c680c77e97b9c75f16b068d4aaa1c2968f5f33fd15de":"248abac639637229b6f1c680c77e97b9c75f16b068d4aaa1c2968f5f33fd15de","artifact:3475:319d4e6b089c0923e163db98196f8e276a426aefdf2a589c4dce2f8558cd3945":"319d4e6b089c0923e163db98196f8e276a426aefdf2a589c4dce2f8558cd3945","artifact:3475:338bc5c33606de922995b0dfe4f6f99547f62c0cee737c20d68ca295639f56f5":"338bc5c33606de922995b0dfe4f6f99547f62c0cee737c20d68ca295639f56f5","artifact:3475:547f84f96fc5ba6eb50e815b0773c247e32b601b717f25b1acf163a26c27c4b6":"547f84f96fc5ba6eb50e815b0773c247e32b601b717f25b1acf163a26c27c4b6","artifact:3475:579e4ffca97c987c2a4adbef316761f592a177d69c4953ca68faa86fc734c5a4":"579e4ffca97c987c2a4adbef316761f592a177d69c4953ca68faa86fc734c5a4","artifact:3475:59ed636a4fd3ecb4b9d9c9994f60f0222fd7413be700a1f0f460fbb4e7dbcb81":"59ed636a4fd3ecb4b9d9c9994f60f0222fd7413be700a1f0f460fbb4e7dbcb81","artifact:3475:612726c478312333103dee331d86eae179b679e93a3986bf8d9da10009c0805c":"612726c478312333103dee331d86eae179b679e93a3986bf8d9da10009c0805c","artifact:3475:6c6fc2ed5f02def8697defb230df6af6a92611e4b08c24951885f9ed0529a628":"6c6fc2ed5f02def8697defb230df6af6a92611e4b08c24951885f9ed0529a628","artifact:3475:72c0c93c73e7d6d3f61f7077fc1e85754eb271d8a09b5ec1946e908300b048a5":"72c0c93c73e7d6d3f61f7077fc1e85754eb271d8a09b5ec1946e908300b048a5","artifact:3475:a6e6f50eeebc9f4d53e7db294fc6c44b24e91cf8b904e1ab0df3bf2a6e09ff27":"a6e6f50eeebc9f4d53e7db294fc6c44b24e91cf8b904e1ab0df3bf2a6e09ff27","artifact:3475:b2a6bd50d09e9401d48ae6f945a24fa6eddae2f2bd4e37a112150b3d77890e2f":"b2a6bd50d09e9401d48ae6f945a24fa6eddae2f2bd4e37a112150b3d77890e2f","artifact:3475:c376515d3a03f550049dc19ec22fe5ff5b1d7cb06ff71c6344769f7026949a05":"c376515d3a03f550049dc19ec22fe5ff5b1d7cb06ff71c6344769f7026949a05","artifact:3475:ffe7036245430dca57f9ef7e2db99c4202efb5829bcfcd6baf80f3f61f28bb4c":"ffe7036245430dca57f9ef7e2db99c4202efb5829bcfcd6baf80f3f61f28bb4c"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":3475,"consideration_only":true,"scientific_authority":false,"provisional_relevance":true,"base_assessment_return_id":null},"handle":"Benjaminsen","job_brief":"Bounded applicability screening of accepted scientific return #3475: 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\":3475,\"report_sha256\":\"b2a6bd50d09e9401d48ae6f945a24fa6eddae2f2bd4e37a112150b3d77890e2f\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:3475\":\"aa269293d8bfa26b6aac8465b0aa78adf61256f746ac4cd6cf3405414d5688e7\",\"artifact:3475:02f764ca887d9153a587ad080a7e5edfe6029bb003a5faf3b28b3542899bb034\":\"02f764ca887d9153a587ad080a7e5edfe6029bb003a5faf3b28b3542899bb034\",\"artifact:3475:0d326d55431ee5033fe3cb9f3252ae36d66bed5d3318bc16d5285d51ec4e0866\":\"0d326d55431ee5033fe3cb9f3252ae36d66bed5d3318bc16d5285d51ec4e0866\",\"artifact:3475:248abac639637229b6f1c680c77e97b9c75f16b068d4aaa1c2968f5f33fd15de\":\"248abac639637229b6f1c680c77e97b9c75f16b068d4aaa1c2968f5f33fd15de\",\"artifact:3475:319d4e6b089c0923e163db98196f8e276a426aefdf2a589c4dce2f8558cd3945\":\"319d4e6b089c0923e163db98196f8e276a426aefdf2a589c4dce2f8558cd3945\",\"artifact:3475:338bc5c33606de922995b0dfe4f6f99547f62c0cee737c20d68ca295639f56f5\":\"338bc5c33606de922995b0dfe4f6f99547f62c0cee737c20d68ca295639f56f5\",\"artifact:3475:547f84f96fc5ba6eb50e815b0773c247e32b601b717f25b1acf163a26c27c4b6\":\"547f84f96fc5ba6eb50e815b0773c247e32b601b717f25b1acf163a26c27c4b6\",\"artifact:3475:579e4ffca97c987c2a4adbef316761f592a177d69c4953ca68faa86fc734c5a4\":\"579e4ffca97c987c2a4adbef316761f592a177d69c4953ca68faa86fc734c5a4\",\"artifact:3475:59ed636a4fd3ecb4b9d9c9994f60f0222fd7413be700a1f0f460fbb4e7dbcb81\":\"59ed636a4fd3ecb4b9d9c9994f60f0222fd7413be700a1f0f460fbb4e7dbcb81\",\"artifact:3475:612726c478312333103dee331d86eae179b679e93a3986bf8d9da10009c0805c\":\"612726c478312333103dee331d86eae179b679e93a3986bf8d9da10009c0805c\",\"artifact:3475:6c6fc2ed5f02def8697defb230df6af6a92611e4b08c24951885f9ed0529a628\":\"6c6fc2ed5f02def8697defb230df6af6a92611e4b08c24951885f9ed0529a628\",\"artifact:3475:72c0c93c73e7d6d3f61f7077fc1e85754eb271d8a09b5ec1946e908300b048a5\":\"72c0c93c73e7d6d3f61f7077fc1e85754eb271d8a09b5ec1946e908300b048a5\",\"artifact:3475:a6e6f50eeebc9f4d53e7db294fc6c44b24e91cf8b904e1ab0df3bf2a6e09ff27\":\"a6e6f50eeebc9f4d53e7db294fc6c44b24e91cf8b904e1ab0df3bf2a6e09ff27\",\"artifact:3475:b2a6bd50d09e9401d48ae6f945a24fa6eddae2f2bd4e37a112150b3d77890e2f\":\"b2a6bd50d09e9401d48ae6f945a24fa6eddae2f2bd4e37a112150b3d77890e2f\",\"artifact:3475:c376515d3a03f550049dc19ec22fe5ff5b1d7cb06ff71c6344769f7026949a05\":\"c376515d3a03f550049dc19ec22fe5ff5b1d7cb06ff71c6344769f7026949a05\",\"artifact:3475:ffe7036245430dca57f9ef7e2db99c4202efb5829bcfcd6baf80f3f61f28bb4c\":\"ffe7036245430dca57f9ef7e2db99c4202efb5829bcfcd6baf80f3f61f28bb4c\"},\"sha256\":\"101372ef62c0a89f0e180f5cba37ea0880f20d5c4fcc0e025bb4f556b536c21d\"},\"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:3475,input_sha256:\"f5ca4817eb4c68032add328eabbf078bed8f3c449145dcf870ca4633001e54e9\",entries:[{target_id,decision:\"applicable|inapplicable|unresolved\",scope_keys:[<declared source keys; [] when the accepted report has no typed scope>],evidence_md,assumptions_md}]}. Cite source evidence and explain the possible bridge or mismatch with each area's exact domain. Missing scope authority is an unresolved validation condition, not a demand for another full review or experiment. Applicability remains provisional unless every referenced scope satisfies the existing exact scientific authority rules; only validated entries can be transferred automatically. Preserve the claim's original scope; an extension is unresolved until ordinary scientific review. An unresolved entry is a recorded gap, not an instruction for a new experiment. Submit no new scientific claims, artifacts, review request or route changes in this administrative screening. Record existing evidence even when every area is inapplicable. GET <project>/research-applicability is the live index; OUTCOMES document integration is separate.","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"lean_execution_binding":null,"lean_scientific_identity":null,"lean_execution_identity":null,"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"cited_by":[],"route_dependents":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/3488/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"6848ae73353aa6b8cad48f2bdfd3ec40c8bdc0e72261d85db2df1d1a1ab711fe","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}