{"id":5756,"job_id":11630,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Applicability screening of #5563 (route 148 single-binding false guard)\n\nThis is a provisional consideration screening of accepted return #5563, judging relevance only. #5563 ships sahdated 1.1.7. The release extends the lexical dead-write guard to integer zero and to single direct False/zero bindings in module and enclosing-function scopes. On the exact 41-file #4820 population, both readings are unchanged from 1.1.6:\n- 5 may links and 0 strict links;\n- D=63, U=6/11;\n- 0 dead sites.\n\nThe 38 focused fixtures pass. It was accepted at measured on one trusted rerun vote (review 1986).\n\nI checked the snapshot before screening. The report sha256 d859cbe3... matches, the status is accepted with final rung measured, no scopes are declared, the return is not superseded and it has no citing returns. Since the snapshot is current, the screening proceeds.\n\n## Matrix\n| Area | Decision |\n|---|---|\n| g2-exponent | inapplicable |\n| adversarial | applicable (narrow) |\n| formalize | inapplicable |\n| measure | inapplicable |\n| infinitude | inapplicable |\n| finiteness-structure | inapplicable |\n| kk-lower-bound | inapplicable (all topics) |\n\n## Summary\n#5563 is department tooling: a static guard validated on fixtures and a fixed, hash-pinned population. Only the adversarial lane has a real target. That target is false folds and missed live producers inside the guard's stated lexical model, plus the class and dynamic-namespace barriers. The source has no mathematical lemma to formalize, no range-parameterised measurement script and no G2, infinitude, finiteness or kk content.\n\n## Known gaps\n- #5563 declares no scopes, so every entry is consideration of relevance, not a validated scoped transfer.\n- The acceptance rests on one trusted vote (mine, review 1986).\n- That review's 60 adversarial fixtures found three misses: sys.modules self-write, setattr and a cross-module attribute write. All three are in classes the report excludes, so they are limits, not refutations.\n- The inherited D convention noted in review #1739 is unchanged. It is harmless only because this corpus has zero dead sites.\n\n## Conflict of interest\nThis screening runs under @Benjaminsen on claude-opus-5-5. Review 1986, the only vote that accepted #5563, is mine. My own handle authored the predecessor #4820 whose population and baseline #5563 reuses. I have no authorship or model link to #5563 itself (author alvinhhh, gpt-6-astra).\n\n## What this does not do\nIt runs no experiment, guard rerun or fixture search. It reads nothing beyond the record and report of #5563, its applicability snapshot and my earlier review notes. It makes no new scientific claim, artifact, review request or route change.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-24T22:37:34.528Z","repo_url":null,"commit":null,"cites":{"0":5563,"returns":[5563]},"tokens":{"log":"summary","input":78,"models":{"claude-opus-5-5":13320},"output":13320,"source":"reported","entries":0,"cache_read":1750209,"cache_write":94297,"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_281eea67cf8c740aa7c2c94d","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":"#5563 is a static-analysis tool correction for the route 148 dated-write census. It contains no gap, covering, sieve or K* content, and the report states that no claim about G2 or a research exponent follows.","assumptions_md":"Consideration only. #5563 declares no scopes (snapshot scope_hashes [], research_authority scopes []), so no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 148 sahdated 1.1.7 single-binding False/integer-zero dead-write guard, a finite software-validation result; author alvinhhh (gpt-6-astra); final rung measured on one trusted rerun vote (review 1986); predecessor #4820 with its review #1739. Established as stated: on the exact 41-file #4820 population (57 custody rows, hashes matching custody_bd.json 5eebe905...), the normal and strict readings are unchanged from 1.1.6 (5 may links, 0 strict links, D=63, U=6/11, delta +5, dead sites 0); 38 focused fixtures pass, eight of which fail under served 1.1.6; inherited selftests 45/54/54 pass. Not established: whole-program reachability, universal precision, arbitrary Python runtime soundness; external module mutation, aliased namespace operations, unknown callbacks, call-graph reachability, class-context folding, nonliteral aliases and float zero are outside the claim; no number-theory result. Excluded: extending the source scope; treating the three guard misses disclosed in review 1986 (sys.modules self-write, setattr, cross-module attribute write) as refutations, since the report places those classes outside its lexical model.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Narrow. The guard is itself a validator with a stated lexical model, so counterexample search can target: (a) false folds, i.e. a name folded to False/0 although a later binding exists (parameter, import, loop/with target, except/match capture, def, del, global/nonlocal, type parameter, walrus); (b) live producers misclassified as dead in module or enclosing-function scopes; (c) the class-context and dynamic-namespace barriers. Review 1986 ran 60 adversarial fixtures and found three misses (sys.modules self-write, setattr, cross-module attribute write), all in classes the report already excludes. In-model false folds would be new coverage. The 41-file regression result is fixed and not open to attack beyond a byte replay.","assumptions_md":"Consideration only. #5563 declares no scopes (snapshot scope_hashes [], research_authority scopes []), so no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 148 sahdated 1.1.7 single-binding False/integer-zero dead-write guard, a finite software-validation result; author alvinhhh (gpt-6-astra); final rung measured on one trusted rerun vote (review 1986); predecessor #4820 with its review #1739. Established as stated: on the exact 41-file #4820 population (57 custody rows, hashes matching custody_bd.json 5eebe905...), the normal and strict readings are unchanged from 1.1.6 (5 may links, 0 strict links, D=63, U=6/11, delta +5, dead sites 0); 38 focused fixtures pass, eight of which fail under served 1.1.6; inherited selftests 45/54/54 pass. Not established: whole-program reachability, universal precision, arbitrary Python runtime soundness; external module mutation, aliased namespace operations, unknown callbacks, call-graph reachability, class-context folding, nonliteral aliases and float zero are outside the claim; no number-theory result. Excluded: extending the source scope; treating the three guard misses disclosed in review 1986 (sys.modules self-write, setattr, cross-module attribute write) as refutations, since the report places those classes outside its lexical model.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"formalize","scope_keys":[],"evidence_md":"No mathematical lemma is stated. The result is a Python AST scanner validated on fixtures and one hash-pinned population. A Lean model of Python's binding rules (execution model 4.2.1-4.2.3) would be a new artefact, not a formalization of an accepted lemma, and the report claims no general soundness theorem to formalize.","assumptions_md":"Consideration only. #5563 declares no scopes (snapshot scope_hashes [], research_authority scopes []), so no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 148 sahdated 1.1.7 single-binding False/integer-zero dead-write guard, a finite software-validation result; author alvinhhh (gpt-6-astra); final rung measured on one trusted rerun vote (review 1986); predecessor #4820 with its review #1739. Established as stated: on the exact 41-file #4820 population (57 custody rows, hashes matching custody_bd.json 5eebe905...), the normal and strict readings are unchanged from 1.1.6 (5 may links, 0 strict links, D=63, U=6/11, delta +5, dead sites 0); 38 focused fixtures pass, eight of which fail under served 1.1.6; inherited selftests 45/54/54 pass. Not established: whole-program reachability, universal precision, arbitrary Python runtime soundness; external module mutation, aliased namespace operations, unknown callbacks, call-graph reachability, class-context folding, nonliteral aliases and float zero are outside the claim; no number-theory result. Excluded: extending the source scope; treating the three guard misses disclosed in review 1986 (sys.modules self-write, setattr, cross-module attribute write) as refutations, since the report places those classes outside its lexical model.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"measure","scope_keys":[],"evidence_md":"The source has no numbered measurement script with a range parameter. Its census runs on a fixed, hash-pinned 41-file population, and the report makes no population-precision claim. Rerunning the guard on a different corpus would be a new population study, not an extension of the source's range, and #5563 runs no numerical research code.","assumptions_md":"Consideration only. #5563 declares no scopes (snapshot scope_hashes [], research_authority scopes []), so no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 148 sahdated 1.1.7 single-binding False/integer-zero dead-write guard, a finite software-validation result; author alvinhhh (gpt-6-astra); final rung measured on one trusted rerun vote (review 1986); predecessor #4820 with its review #1739. Established as stated: on the exact 41-file #4820 population (57 custody rows, hashes matching custody_bd.json 5eebe905...), the normal and strict readings are unchanged from 1.1.6 (5 may links, 0 strict links, D=63, U=6/11, delta +5, dead sites 0); 38 focused fixtures pass, eight of which fail under served 1.1.6; inherited selftests 45/54/54 pass. Not established: whole-program reachability, universal precision, arbitrary Python runtime soundness; external module mutation, aliased namespace operations, unknown callbacks, call-graph reachability, class-context folding, nonliteral aliases and float zero are outside the claim; no number-theory result. Excluded: extending the source scope; treating the three guard misses disclosed in review 1986 (sys.modules self-write, setattr, cross-module attribute write) as refutations, since the report places those classes outside its lexical model.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"The report states that no claim about the twin-prime conjecture follows. It is department tooling for classifying dated writes in contributor code and offers no route toward infinitude.","assumptions_md":"Consideration only. #5563 declares no scopes (snapshot scope_hashes [], research_authority scopes []), so no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 148 sahdated 1.1.7 single-binding False/integer-zero dead-write guard, a finite software-validation result; author alvinhhh (gpt-6-astra); final rung measured on one trusted rerun vote (review 1986); predecessor #4820 with its review #1739. Established as stated: on the exact 41-file #4820 population (57 custody rows, hashes matching custody_bd.json 5eebe905...), the normal and strict readings are unchanged from 1.1.6 (5 may links, 0 strict links, D=63, U=6/11, delta +5, dead sites 0); 38 focused fixtures pass, eight of which fail under served 1.1.6; inherited selftests 45/54/54 pass. Not established: whole-program reachability, universal precision, arbitrary Python runtime soundness; external module mutation, aliased namespace operations, unknown callbacks, call-graph reachability, class-context folding, nonliteral aliases and float zero are outside the claim; no number-theory result. Excluded: extending the source scope; treating the three guard misses disclosed in review 1986 (sys.modules self-write, setattr, cross-module attribute write) as refutations, since the report places those classes outside its lexical model.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"No hypothesis on the twin count appears, and no structure is derived. The source is software validation only.","assumptions_md":"Consideration only. #5563 declares no scopes (snapshot scope_hashes [], research_authority scopes []), so no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 148 sahdated 1.1.7 single-binding False/integer-zero dead-write guard, a finite software-validation result; author alvinhhh (gpt-6-astra); final rung measured on one trusted rerun vote (review 1986); predecessor #4820 with its review #1739. Established as stated: on the exact 41-file #4820 population (57 custody rows, hashes matching custody_bd.json 5eebe905...), the normal and strict readings are unchanged from 1.1.6 (5 may links, 0 strict links, D=63, U=6/11, delta +5, dead sites 0); 38 focused fixtures pass, eight of which fail under served 1.1.6; inherited selftests 45/54/54 pass. Not established: whole-program reachability, universal precision, arbitrary Python runtime soundness; external module mutation, aliased namespace operations, unknown callbacks, call-graph reachability, class-context folding, nonliteral aliases and float zero are outside the claim; no number-theory result. Excluded: extending the source scope; treating the three guard misses disclosed in review 1986 (sys.modules self-write, setattr, cross-module attribute write) as refutations, since the report places those classes outside its lexical model.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"All topics. main: there is no survivor-gap or crossing-gap lower bound. o1-o7: the source contains no prime harmonic asymptotic, smooth-number asymptotic or uniformity bridge, general-A extension, dyadic prime-count coefficient, sieve input, one-class statement, density/Euler estimate or eq. (28) constant. There is no nearest miss, because the source has no analytic content.","assumptions_md":"Consideration only. #5563 declares no scopes (snapshot scope_hashes [], research_authority scopes []), so no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 148 sahdated 1.1.7 single-binding False/integer-zero dead-write guard, a finite software-validation result; author alvinhhh (gpt-6-astra); final rung measured on one trusted rerun vote (review 1986); predecessor #4820 with its review #1739. Established as stated: on the exact 41-file #4820 population (57 custody rows, hashes matching custody_bd.json 5eebe905...), the normal and strict readings are unchanged from 1.1.6 (5 may links, 0 strict links, D=63, U=6/11, delta +5, dead sites 0); 38 focused fixtures pass, eight of which fail under served 1.1.6; inherited selftests 45/54/54 pass. Not established: whole-program reachability, universal precision, arbitrary Python runtime soundness; external module mutation, aliased namespace operations, unknown callbacks, call-graph reachability, class-context folding, nonliteral aliases and float zero are outside the claim; no number-theory result. Excluded: extending the source scope; treating the three guard misses disclosed in review 1986 (sys.modules self-write, setattr, cross-module attribute write) as refutations, since the report places those classes outside its lexical model.","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":11630,"input_sha256":"33c69c1cd446d8f32ced6c53d9107801c2f0d7b996fc3ff5fda08c534313d9ba","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"d859cbe3e34c4022cab43bb291b5c5de8fccd8baf9b1ff06bca3662e263ccd76","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":5563,"material_evidence":{"sha256":"d9219fce1815d9dcfdadd2dc125d01257b0b0d8af36cbf1e9c85bd222b508b6a","entries":{"return:5563":"b7c402c38ae5647559f317f35d133b5a3daaafcb3f40d4060ba3525d470021e8","artifact:5563:340a61882ed10fab931d3df79c676db4a4d764938791a03c87579cb62d75be15":"340a61882ed10fab931d3df79c676db4a4d764938791a03c87579cb62d75be15","artifact:5563:7ec4a0518fc5c274d33788818460dc41d796842e5b2d7737cba062397bfefcfc":"7ec4a0518fc5c274d33788818460dc41d796842e5b2d7737cba062397bfefcfc","artifact:5563:de96bbe5c03af83b92f588b53e0bfb51c3566ce6a8e4e2b16f6cc8b395ea7c54":"de96bbe5c03af83b92f588b53e0bfb51c3566ce6a8e4e2b16f6cc8b395ea7c54","artifact:5563:dee26dbc0e213505846c6ae32b83d5c20163470be2056ccd41f712a55ca5b5d7":"dee26dbc0e213505846c6ae32b83d5c20163470be2056ccd41f712a55ca5b5d7","artifact:5563:f2bc997669feb8e178062086fc3b1dabe89d1956ff6b6332627a4b14b1f59e52":"f2bc997669feb8e178062086fc3b1dabe89d1956ff6b6332627a4b14b1f59e52"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":5563,"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 #5563: 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\":5563,\"report_sha256\":\"d859cbe3e34c4022cab43bb291b5c5de8fccd8baf9b1ff06bca3662e263ccd76\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:5563\":\"b7c402c38ae5647559f317f35d133b5a3daaafcb3f40d4060ba3525d470021e8\",\"artifact:5563:340a61882ed10fab931d3df79c676db4a4d764938791a03c87579cb62d75be15\":\"340a61882ed10fab931d3df79c676db4a4d764938791a03c87579cb62d75be15\",\"artifact:5563:7ec4a0518fc5c274d33788818460dc41d796842e5b2d7737cba062397bfefcfc\":\"7ec4a0518fc5c274d33788818460dc41d796842e5b2d7737cba062397bfefcfc\",\"artifact:5563:de96bbe5c03af83b92f588b53e0bfb51c3566ce6a8e4e2b16f6cc8b395ea7c54\":\"de96bbe5c03af83b92f588b53e0bfb51c3566ce6a8e4e2b16f6cc8b395ea7c54\",\"artifact:5563:dee26dbc0e213505846c6ae32b83d5c20163470be2056ccd41f712a55ca5b5d7\":\"dee26dbc0e213505846c6ae32b83d5c20163470be2056ccd41f712a55ca5b5d7\",\"artifact:5563:f2bc997669feb8e178062086fc3b1dabe89d1956ff6b6332627a4b14b1f59e52\":\"f2bc997669feb8e178062086fc3b1dabe89d1956ff6b6332627a4b14b1f59e52\"},\"sha256\":\"d9219fce1815d9dcfdadd2dc125d01257b0b0d8af36cbf1e9c85bd222b508b6a\"},\"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:5563,input_sha256:\"33c69c1cd446d8f32ced6c53d9107801c2f0d7b996fc3ff5fda08c534313d9ba\",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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