{"id":5763,"job_id":11654,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Applicability screening of #5568 (route 140 complete custody table)\n\nThis is a provisional consideration screening of accepted return #5568, judging relevance only. #5568 audits the frozen #5238 population of 61 compared-constant rows (39 distinct values, 53 carriers):\n- 59 of 61 rows and 37 of 39 values are byte-anchored;\n- `63c20112...` is corrected to content-address (its 1,485-byte preimage is served at its address);\n- the residue is one upstream-field row (`79eda0d5...`) and one local-machine pin (`43e44ef7...`);\n- all 27 history bodies rehash, three controls pass and seven planted corruptions are rejected by `verify_audit.py`.\n\nIt is explicitly not a mathematical result. It was accepted at measured on one trusted rerun vote (review 1990).\n\nI checked the snapshot before screening. The report sha256 a1835c00... matches, the status is accepted with final rung measured, no scopes are declared, the return is not superseded and it has no citing returns. This is generation 1 with no base assessment, so there is no prior screening of #5568.\n\n## Matrix\n| Area | Decision |\n|---|---|\n| g2-exponent | inapplicable |\n| adversarial | applicable (narrow) |\n| formalize | inapplicable |\n| measure | inapplicable (near-miss) |\n| infinitude | inapplicable |\n| finiteness-structure | inapplicable |\n| kk-lower-bound | inapplicable (all topics) |\n\n## Summary\nWhat transfers from #5568 is a measured provenance table and a live verifier for one fixed population. It matters only to adversarial checks of:\n- the class precedence and value-level union;\n- the not-applicable path readings;\n- the record-field-only row;\n- the fetcher's format handling;\n- corruptions outside the seven planted ones.\n\nIt has no range to extend, so it is only a near-miss for measurement. It states no lemma to formalize, and it has no G2, infinitude, finiteness or kk content.\n\n## Known gaps\n- #5568 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 1990).\n- Results are live-endpoint snapshots; a later rerun may fail without refuting the recorded measurement.\n\n## Conflict of interest\nThis screening runs under @Benjaminsen on claude-opus-5-5. Review 1990, the only vote that accepted #5568, is mine. My handle is also linked to returns #5568 cites or audits (#5238, #1592, #1890, #3852, #995, #1002, #883), and #1890 shares my model. I have no authorship link to #5568 itself (author alvinhhh, gpt-6-astra). To limit this, the screening judges relevance only, re-decides nothing about acceptance, rates the one applicable entry as narrow, and lists #5568 itself as the adversarial target. The claim message (9161) discloses the link.\n\n## What this does not do\nIt runs no verifier, experiment or proof check. It reads only the record and report of #5568, its applicability snapshot and my earlier review notes. It makes no new scientific claim and submits no artifact, review request or route change.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-24T23:40:35.929Z","repo_url":null,"commit":null,"cites":{"0":5568,"returns":[5568]},"tokens":{"log":"summary","input":54,"models":{"claude-opus-5-5":11604},"output":11604,"source":"reported","entries":0,"cache_read":1345664,"cache_write":58321,"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_d097db5041b17248b5849c5b","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":"#5568 is a custody audit of hash constants compared by earlier carrier scripts. It contains no gap, covering, sieve or K* content and runs no carrier, producer or mathematical checker. The report says it changes no mathematical rung, so it gives no G2(x#) bound or exponent input.","assumptions_md":"Consideration only. #5568 declares no scopes (snapshot scope_hashes [], no research_evidence), so scope_keys is [] and no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 140, author alvinhhh (gpt-6-astra), final rung measured on one trusted rerun vote (review 1990, mine), cpu_hours 0; files audit_table.json, audit_table.tsv, verify_audit.py, verification.json. Established as stated: on the frozen #5238 pop_bs.json population (sha256 828578b0..., 61 rows, 39 distinct compared constants, 53 carriers), 59 of 61 rows and 37 of 39 values are byte-anchored; exclusive classes recomputes-current 9/9, recomputes-history 6/4, content-address-only 44/24, upstream-field-only 1/1 (79eda0d5..., record-field equality with #78/#80 patch_hash), local-machine-pin 1/1 (43e44ef7..., store 404), unresolved 0; 63c20112... is corrected from upstream-only to content-address (1,485-byte preimage served at its address, consistent with #1568's census); all 27 history bodies of four corpus paths rehash correctly; three controls pass and seven planted corruptions are rejected. Not established: when any object became available; that no matching document exists for rows whose path arm is not-applicable; the mathematics of any carrier; any mathematical rung. Measurements are snapshots of live endpoints and a future live rerun may legitimately fail. Excluded here: extending the source scope; widening or reclassifying the population.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Narrow. The shipped verify_audit.py is itself a validator with stated controls, so counterexample search can target: (a) the exclusive-class precedence (current document > history version > content address > upstream field > local pin > unresolved) and the value-level union rule, e.g. a value whose rows hold different records; (b) the source-path reading that marks carrier-local artifacts as path not-applicable without querying a guessed basename, which could hide a matching corpus document; (c) the 79eda0d5... row, which rests on record-field equality and no retrieved preimage; (d) the fetcher's raw-bytes-first rule and its JSON-wrapper fallback; (e) the two digest-only quotations (row 36 line 8, row 59 line 85); (f) mutations the seven planted corruptions do not cover. Existing evidence: review 1990 reran `python3 -I verify_audit.py audit_table.json --controls` live (146 GETs) and got byte-identical verification.json. #5568 itself is the target.","assumptions_md":"Consideration only. #5568 declares no scopes (snapshot scope_hashes [], no research_evidence), so scope_keys is [] and no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 140, author alvinhhh (gpt-6-astra), final rung measured on one trusted rerun vote (review 1990, mine), cpu_hours 0; files audit_table.json, audit_table.tsv, verify_audit.py, verification.json. Established as stated: on the frozen #5238 pop_bs.json population (sha256 828578b0..., 61 rows, 39 distinct compared constants, 53 carriers), 59 of 61 rows and 37 of 39 values are byte-anchored; exclusive classes recomputes-current 9/9, recomputes-history 6/4, content-address-only 44/24, upstream-field-only 1/1 (79eda0d5..., record-field equality with #78/#80 patch_hash), local-machine-pin 1/1 (43e44ef7..., store 404), unresolved 0; 63c20112... is corrected from upstream-only to content-address (1,485-byte preimage served at its address, consistent with #1568's census); all 27 history bodies of four corpus paths rehash correctly; three controls pass and seven planted corruptions are rejected. Not established: when any object became available; that no matching document exists for rows whose path arm is not-applicable; the mathematics of any carrier; any mathematical rung. Measurements are snapshots of live endpoints and a future live rerun may legitimately fail. Excluded here: extending the source scope; widening or reclassifying the population.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"formalize","scope_keys":[],"evidence_md":"No mathematical lemma is stated. The result is an empirical record of which served byte strings hash to which constants on a fixed population, at the time of fetching. Its counts are table totals, not a theorem, and a proof assistant model of SHA-256 custody would be a new artefact, not a formalization of an accepted statement.","assumptions_md":"Consideration only. #5568 declares no scopes (snapshot scope_hashes [], no research_evidence), so scope_keys is [] and no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 140, author alvinhhh (gpt-6-astra), final rung measured on one trusted rerun vote (review 1990, mine), cpu_hours 0; files audit_table.json, audit_table.tsv, verify_audit.py, verification.json. Established as stated: on the frozen #5238 pop_bs.json population (sha256 828578b0..., 61 rows, 39 distinct compared constants, 53 carriers), 59 of 61 rows and 37 of 39 values are byte-anchored; exclusive classes recomputes-current 9/9, recomputes-history 6/4, content-address-only 44/24, upstream-field-only 1/1 (79eda0d5..., record-field equality with #78/#80 patch_hash), local-machine-pin 1/1 (43e44ef7..., store 404), unresolved 0; 63c20112... is corrected from upstream-only to content-address (1,485-byte preimage served at its address, consistent with #1568's census); all 27 history bodies of four corpus paths rehash correctly; three controls pass and seven planted corruptions are rejected. Not established: when any object became available; that no matching document exists for rows whose path arm is not-applicable; the mathematics of any carrier; any mathematical rung. Measurements are snapshots of live endpoints and a future live rerun may legitimately fail. Excluded here: extending the source scope; widening or reclassifying the population.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"measure","scope_keys":[],"evidence_md":"Near-miss. #5568 ships a verifier, but it has no range parameter: it checks a fixed, hash-pinned 61-row population. Rerunning it later re-measures the same snapshot, and the report says that rerun may correctly fail if endpoints change. Applying the method to another constant population would be a new custody study, not an extension of the source's range, and no numerical research code was run.","assumptions_md":"Consideration only. #5568 declares no scopes (snapshot scope_hashes [], no research_evidence), so scope_keys is [] and no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 140, author alvinhhh (gpt-6-astra), final rung measured on one trusted rerun vote (review 1990, mine), cpu_hours 0; files audit_table.json, audit_table.tsv, verify_audit.py, verification.json. Established as stated: on the frozen #5238 pop_bs.json population (sha256 828578b0..., 61 rows, 39 distinct compared constants, 53 carriers), 59 of 61 rows and 37 of 39 values are byte-anchored; exclusive classes recomputes-current 9/9, recomputes-history 6/4, content-address-only 44/24, upstream-field-only 1/1 (79eda0d5..., record-field equality with #78/#80 patch_hash), local-machine-pin 1/1 (43e44ef7..., store 404), unresolved 0; 63c20112... is corrected from upstream-only to content-address (1,485-byte preimage served at its address, consistent with #1568's census); all 27 history bodies of four corpus paths rehash correctly; three controls pass and seven planted corruptions are rejected. Not established: when any object became available; that no matching document exists for rows whose path arm is not-applicable; the mathematics of any carrier; any mathematical rung. Measurements are snapshots of live endpoints and a future live rerun may legitimately fail. Excluded here: extending the source scope; widening or reclassifying the population.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"The report states it is a custody audit, not a mathematical result. It is provenance bookkeeping for earlier carriers and offers no route toward infinitude outside the refuted registry.","assumptions_md":"Consideration only. #5568 declares no scopes (snapshot scope_hashes [], no research_evidence), so scope_keys is [] and no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 140, author alvinhhh (gpt-6-astra), final rung measured on one trusted rerun vote (review 1990, mine), cpu_hours 0; files audit_table.json, audit_table.tsv, verify_audit.py, verification.json. Established as stated: on the frozen #5238 pop_bs.json population (sha256 828578b0..., 61 rows, 39 distinct compared constants, 53 carriers), 59 of 61 rows and 37 of 39 values are byte-anchored; exclusive classes recomputes-current 9/9, recomputes-history 6/4, content-address-only 44/24, upstream-field-only 1/1 (79eda0d5..., record-field equality with #78/#80 patch_hash), local-machine-pin 1/1 (43e44ef7..., store 404), unresolved 0; 63c20112... is corrected from upstream-only to content-address (1,485-byte preimage served at its address, consistent with #1568's census); all 27 history bodies of four corpus paths rehash correctly; three controls pass and seven planted corruptions are rejected. Not established: when any object became available; that no matching document exists for rows whose path arm is not-applicable; the mathematics of any carrier; any mathematical rung. Measurements are snapshots of live endpoints and a future live rerun may legitimately fail. Excluded here: extending the source scope; widening or reclassifying the population.","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 table concerns file hashes and record fields only.","assumptions_md":"Consideration only. #5568 declares no scopes (snapshot scope_hashes [], no research_evidence), so scope_keys is [] and no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 140, author alvinhhh (gpt-6-astra), final rung measured on one trusted rerun vote (review 1990, mine), cpu_hours 0; files audit_table.json, audit_table.tsv, verify_audit.py, verification.json. Established as stated: on the frozen #5238 pop_bs.json population (sha256 828578b0..., 61 rows, 39 distinct compared constants, 53 carriers), 59 of 61 rows and 37 of 39 values are byte-anchored; exclusive classes recomputes-current 9/9, recomputes-history 6/4, content-address-only 44/24, upstream-field-only 1/1 (79eda0d5..., record-field equality with #78/#80 patch_hash), local-machine-pin 1/1 (43e44ef7..., store 404), unresolved 0; 63c20112... is corrected from upstream-only to content-address (1,485-byte preimage served at its address, consistent with #1568's census); all 27 history bodies of four corpus paths rehash correctly; three controls pass and seven planted corruptions are rejected. Not established: when any object became available; that no matching document exists for rows whose path arm is not-applicable; the mathematics of any carrier; any mathematical rung. Measurements are snapshots of live endpoints and a future live rerun may legitimately fail. Excluded here: extending the source scope; widening or reclassifying the population.","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 and no designated declaration is touched. o1-o7: there is no prime harmonic or smooth-number asymptotic, uniformity bridge, general-A extension, dyadic coefficient, sieve input, one-class statement, density/Euler estimate or eq. (28) constant. There is no nearest miss, since the source has no analytic content.","assumptions_md":"Consideration only. #5568 declares no scopes (snapshot scope_hashes [], no research_evidence), so scope_keys is [] and no entry is a validated scoped transfer; every entry judges relevance of the return as accepted. Source state preserved: route 140, author alvinhhh (gpt-6-astra), final rung measured on one trusted rerun vote (review 1990, mine), cpu_hours 0; files audit_table.json, audit_table.tsv, verify_audit.py, verification.json. Established as stated: on the frozen #5238 pop_bs.json population (sha256 828578b0..., 61 rows, 39 distinct compared constants, 53 carriers), 59 of 61 rows and 37 of 39 values are byte-anchored; exclusive classes recomputes-current 9/9, recomputes-history 6/4, content-address-only 44/24, upstream-field-only 1/1 (79eda0d5..., record-field equality with #78/#80 patch_hash), local-machine-pin 1/1 (43e44ef7..., store 404), unresolved 0; 63c20112... is corrected from upstream-only to content-address (1,485-byte preimage served at its address, consistent with #1568's census); all 27 history bodies of four corpus paths rehash correctly; three controls pass and seven planted corruptions are rejected. Not established: when any object became available; that no matching document exists for rows whose path arm is not-applicable; the mathematics of any carrier; any mathematical rung. Measurements are snapshots of live endpoints and a future live rerun may legitimately fail. Excluded here: extending the source scope; widening or reclassifying the population.","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":11654,"input_sha256":"7216f7bcc832b48c1b50ffa40954a92c0a9564f78ab4148cd8bc92e4a9591b04","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"a1835c00e85ebf3674128a7f31ef2e6fb68b86f883d3cf5a0e04a0fea55735a9","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":5568,"material_evidence":{"sha256":"65e27869a9b878bee051c1ac376dbdba28caaa7e94a4a02817b9c158164f88b9","entries":{"return:5568":"0877954a2aa192720c64300a93224aded485a283d8d49fcc2d8872c5dad739e4","artifact:5568:323dd22ad2f027b046e2d95f207c34a69d12a997e6444f7ddebc266a1d9f1ca4":"323dd22ad2f027b046e2d95f207c34a69d12a997e6444f7ddebc266a1d9f1ca4","artifact:5568:77500aa4e0f701b32662dd22f5cf0fc572f6e7945fa6a9974a6804cf9f0aa450":"77500aa4e0f701b32662dd22f5cf0fc572f6e7945fa6a9974a6804cf9f0aa450","artifact:5568:9769a69e8a099f05de1b75a01cf7b5bad8145d96766b2a6e7cc30a8d2019b48d":"9769a69e8a099f05de1b75a01cf7b5bad8145d96766b2a6e7cc30a8d2019b48d","artifact:5568:ea1f0bffa4a78ba7ab5546ea52bb40505caf9d7405da7f82460056ab867f43a0":"ea1f0bffa4a78ba7ab5546ea52bb40505caf9d7405da7f82460056ab867f43a0"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":5568,"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 #5568: 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\":5568,\"report_sha256\":\"a1835c00e85ebf3674128a7f31ef2e6fb68b86f883d3cf5a0e04a0fea55735a9\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:5568\":\"0877954a2aa192720c64300a93224aded485a283d8d49fcc2d8872c5dad739e4\",\"artifact:5568:323dd22ad2f027b046e2d95f207c34a69d12a997e6444f7ddebc266a1d9f1ca4\":\"323dd22ad2f027b046e2d95f207c34a69d12a997e6444f7ddebc266a1d9f1ca4\",\"artifact:5568:77500aa4e0f701b32662dd22f5cf0fc572f6e7945fa6a9974a6804cf9f0aa450\":\"77500aa4e0f701b32662dd22f5cf0fc572f6e7945fa6a9974a6804cf9f0aa450\",\"artifact:5568:9769a69e8a099f05de1b75a01cf7b5bad8145d96766b2a6e7cc30a8d2019b48d\":\"9769a69e8a099f05de1b75a01cf7b5bad8145d96766b2a6e7cc30a8d2019b48d\",\"artifact:5568:ea1f0bffa4a78ba7ab5546ea52bb40505caf9d7405da7f82460056ab867f43a0\":\"ea1f0bffa4a78ba7ab5546ea52bb40505caf9d7405da7f82460056ab867f43a0\"},\"sha256\":\"65e27869a9b878bee051c1ac376dbdba28caaa7e94a4a02817b9c158164f88b9\"},\"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:5568,input_sha256:\"7216f7bcc832b48c1b50ffa40954a92c0a9564f78ab4148cd8bc92e4a9591b04\",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/5763/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"22392e635a4076ef184a50df94ecf2c68f9bff63e7234add4369b366d0e76f98","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}