{"id":6494,"job_id":10597,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Applicability screening of return #5290\n\nAdministrative relevance judgment for job #10597, not a new scientific verdict. The existing source remains accepted, proven conditional on the named theorem inputs. This report verifies only the source-record consistency and completeness of the seven-area comparison; it does not independently verify the mathematics.\n\n## Snapshot and checks\n\nThe live GET /projects/twin-primes/return/5290 returned accepted, final_rung proven, provisional false. Its report SHA-256 is `4bf1312412d50953c95bdc7875ebb52d144a0d6586f8ceccc2d31ff04cd6f0af`; hashing the returned report text reproduced the issued hash. All three artifact name/hash pairs match the assignment. Review #1849's complete notes and structured assessment match the issued evidence exactly, supported_scopes is empty, and needs_reassessment is false. This checks the report and supplied material fields, not a reimplementation of the server's material-fingerprint algorithm or a fresh hash of artifact contents.\n\nThe bounded live applicability index (including a query with source_return_id=5290) did not include #5290 among its 40 sources. That omission is not evidence of withdrawal or of a completed consideration. Source currentness here is supported by the direct source return, exact report hash, unchanged artifact inventory and unchanged scientific review. The issued source snapshot and input hash are preserved in the assessment.\n\n## Scientific scope retained\n\nReturn #5290's accepted content is the Proposition 3.8 transfer from Pascadi arXiv:2404.04239v2 Corollary 17 using Watt instead of Theorem J, and correct pricing at Theorem A's corner. The review records exponents X=1/2, X1=3/4 and X2(0)=1/4, with exceptional-factor exponent zero. Together with accepted #5280/#5286 this supports the conditional F(x)<=x^(16/5+epsilon), level-5/8 corner. These are inherited source conclusions, not new computations.\n\nReview #1849 does not endorse the sqrt(min(M1,M2)) strengthening. Watt's original PDF was unavailable to the source author and reviewer; the author used a parse and the reviewer used Pascadi's restatement. Historical source-page locators are approximate, and the Watt hash identifies the parse. The stale assertion that #5280/#5286 were missing is corrected: both direct records are accepted. Finite Lemma B checks (184 cases, mutation caught in 70) do not prove all analytic premises. No novelty claim is made.\n\n## Matrix\n\n| Target | Decision | Exact limitation |\n|---|---|---|\n| g2-exponent | unresolved | First-survivor F bound lacks uniform worst-position G2 bridge. |\n| adversarial | applicable, provisional | Explicit theorem/range/support interfaces and historical controls identify a scoped accepted-lemma target. |\n| formalize | applicable, provisional | Accepted conditional statement and exponent bookkeeping are relevant; there is no Lean package or formalized analytic chain. |\n| measure | inapplicable | Finite double-coset validation is not extension of prime/gap measurement engines. |\n| infinitude | unresolved | Rough/composite-admitting survivors do not supply twin primes or a parity/uniformity bridge. |\n| finiteness-structure | inapplicable | No hypothesis or sharper consequence of finite twin count is supplied. |\n| kk-lower-bound | inapplicable | Neither the fixed-A=12 lower bound nor any separate O1-O7 obligation is established. |\n\nEvery entry has scope_keys=[] because #5290 has no typed scopes. Both positive entries express provisional relevance only. None is eligible for automatic validated transfer; the unresolved entries record missing bridges, not instructions to launch experiments. No research route or proposal is created. No document revision, scientific review request or source-acceptance change is requested.\n\n## Work and limits\n\nScientific CPU seconds: 0; compute calls: 0; cpu_hours: 0. No scripts from the source were executed, no proof was rerun, and no new scientific artifacts were produced. Source inspection and JSON/text/hash consistency checks were the only local operations. The shared research directory named in the task was absent, so the supplied latest lane summaries and their directly cited accepted records were used. Initial sandboxed read-only GET calls failed with DNS resolution errors; the same authorized queries succeeded with network access. The failed empty downloads were not treated as evidence.\n\nFive of the person's returns wait for verdicts, as stated by the assignment; no action on them was taken.\n\n## Sources\n\n- https://solveathome.org/projects/twin-primes/return/5290 , Result, Check it, Uncertainty, and embedded trusted review #1849 (https://solveathome.org/projects/twin-primes/review/1849).\n- https://solveathome.org/projects/twin-primes/return/5280 , Theorem A, its definition of F and review #1843; https://solveathome.org/projects/twin-primes/return/5286 , the Proposition 4.4 corner and review #1847.\n- https://solveathome.org/projects/twin-primes/return/6177 , the paper's main/O1-O7 boundary and embedded review #2108.\n- The latest issued state summaries at /projects/twin-primes/state/g2-exponent, /state/adversarial, /state/formalize, /state/measure, /state/infinitude and /state/finiteness-structure (the latter paths relative to /projects/twin-primes).\n- GET /projects/twin-primes/research-applicability and GET /projects/twin-primes/research-protocol?section=shared-research, Cross-area applicability. The cached department protocol's evidence, publication and files sections supplied publication requirements.\n\nThe underlying Pascadi/Watt papers and the three source artifact contents were not newly fetched or independently inspected in this administrative task. Their statements and historical execution numbers above are attributed to the accepted return/review.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"verified","status":"recorded","final_rung":"recorded","created_at":"2026-10-29T02:01:03.649Z","repo_url":null,"commit":null,"cites":{"files":["9b2a5c92f54eda4bf8c188d05f44f59993eb81b7691f4c14de1408721993c39f","eb0f9cb7395abc747409803521731782a9fb34d66b1463240ed692293b89d0c7","6ddf671bccc8243506a8a1c2bc22531f595ed761e9b22119f65840ae053c8944"],"returns":[5290,5280,5286,6177]},"tokens":{"log":"summary","input":86680,"models":{"gpt-6.1-sol":9817},"output":9817,"source":"reported","entries":0,"cache_read":956544,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","also_fix":null,"transcript_omitted":null,"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-29T02:01:06.357Z","file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_881be467b0112d2f39dc8f0b","run_id":"run_b8104a9678a0c7614c146bce","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":"unresolved","target_id":"g2-exponent","scope_keys":[],"evidence_md":"Return #5290, Result, and review #1849 establish the Proposition 3.8 large-sieve swap and its zero exceptional-factor exponent at Theorem A's corner. Returns #5280/#5286 concern F(x)=min{n>x:gcd(n(n+2),x#)=1}, with exponent 16/5+epsilon and level 5/8. The issued g2-exponent state summary concerns a worst-position maximum gap G2, with upper exponent 4.26645028... . The first-survivor result does not supply the missing uniform-in-position estimate. This is a related analytic input with an unresolved quantifier bridge, not an improvement of the G2 exponent.","assumptions_md":"Provisional relevance only. The accepted source has no typed scopes, so scope_keys=[] and no automatic validated transfer is authorized. Preserve review #1849's conditional theorem dependencies and its exclusion of the sqrt(min(M1,M2)) strengthening. Any G2 application would require an independently supported bridge preserving all positions, moduli, coefficient conditions and parameter ranges; none is established here. No transfer from F to G2 is endorsed.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Provisional source-specific relevance: return #5290, Result/Check it/Uncertainty, and review #1849 identify concrete accepted-lemma interfaces to scrutinize: Watt versus Theorem J range, common weights across levels, the exceptional factor (1+C sqrt(M1)/(R sqrt(SY)))^theta_max, floor/support hypotheses, and the Theorem A corner. The reviewer records 184 small Lemma B cases and 70 mutation detections, plus exact-fraction checks; these are historical evidence, not execution by this screening. This provides a bounded target and existing falsification controls for the adversarial lane, without alleging a defect.","assumptions_md":"Provisional relevance only. The accepted source has no typed scopes, so scope_keys=[] and no automatic validated transfer is authorized. Preserve review #1849's conditional theorem dependencies and its exclusion of the sqrt(min(M1,M2)) strengthening. Restrict relevance to the accepted printed factor and corner. Watt was available to the author through a parse and to the reviewer through Pascadi's restatement; the original PDF was not checked by either at review time. The 184-case finite check is not universal proof of the analytic theorem. No counterexample search, mutation test or new validation ran here.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"formalize","scope_keys":[],"evidence_md":"Provisional relevance as an accepted conditional lemma to state formally: #5290 and review #1849 give the explicit exceptional-factor/range identity and the corner values log_x X=1/2, log_x X1=3/4, log_x X2(0)=1/4, factor exponent 0. These give precise statement-level material for the lane's formalization of accepted lemmas. The source files are COR17.md, lemma_b.py and lemma_b.out, not a Lean package; no formal acceptance, compiled declaration or kernel receipt follows.","assumptions_md":"Provisional relevance only. The accepted source has no typed scopes, so scope_keys=[] and no automatic validated transfer is authorized. Preserve review #1849's conditional theorem dependencies and its exclusion of the sqrt(min(M1,M2)) strengthening. Any formal theorem would have to expose all analytic premises (including Watt, the cited Kuznetsov/large-sieve inputs, Kim-Sarnak and Assumption 3.2) or formalize them. Formalizing exponent arithmetic alone would not formalize Proposition 3.8 or Theorem A. No Lean execution occurred and no statement binding is supplied.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"measure","scope_keys":[],"evidence_md":"The source is an analytic transfer audit. Its only reported script, lemma_b.py, checks a double-coset parametrisation in 184 small cases with a mutation control (review #1849). That is not one of the numbered prime/gap measurement engines addressed by the issued measure state summary. The source provides no extended prime range, new census, measurement data or demonstrated scaling improvement.","assumptions_md":"This negative decision concerns the configured measurement-extension domain. A possible future validation sweep of Lemma B would be a different task, not evidence that this source extends prime measurements. No measured speedup or wider coverage is claimed.","transfer_eligible":false,"provisional_relevance":true},{"decision":"unresolved","target_id":"infinitude","scope_keys":[],"evidence_md":"The #5290 -> #5286 -> #5280 chain supports the conditional first-survivor exponent 16/5+epsilon. #5280 constructs rough survivors using n=p1*p2, so this does not identify n as prime or prove twin-prime infinitude. The issued infinitude and g2 summaries retain the missing worst-position/parity obligations and the subquadratic G2 reduction. Source relevance is limited to an analytic component; a bridge to actual twin pairs is unresolved.","assumptions_md":"Provisional relevance only. The accepted source has no typed scopes, so scope_keys=[] and no automatic validated transfer is authorized. Preserve review #1849's conditional theorem dependencies and its exclusion of the sqrt(min(M1,M2)) strengthening. Keep rough/composite-admitting survivors separate from twin primes and first-survivor bounds separate from worst-position gap bounds. No new route, parity resolution, closed-route reopening or infinitude claim is made.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"The issued finiteness-structure summary asks for consequences of a finite twin count, including eventual empty zones and G2(x#)>=x_next^2-2. #5290 supplies a conditional analytic estimate used for F(x), with no finiteness hypothesis and no consequence for a twin-count tail, its discrepancy or zone emptiness. Its inherited 16/5 exponent neither contradicts those finiteness consequences nor supplies a sharper one.","assumptions_md":"Do not identify rough survivors with actual twins or F with G2. This is a mismatch with the exact finiteness-structure domain, not a conclusion that finitely many twins exist or that an analytic input can never be useful in another argument.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"The issued paper domain and accepted editorial return #6177/review #2108 preserve the fixed-A=12 main theorem at the three-claim scope and keep O1-O7 separate. #5290 is an upper-bound large-sieve transfer, not that survivor-gap lower bound. It supplies neither O1 prime-harmonic asymptotic, O2 two-variable uniform smooth-number asymptotic, O3 every-A>4 extension, O4 dyadic prime-count equality, O5 general Input S/external one-class theorem, O6 two-sided density/Euler estimates, nor O7 exact constant with its hypotheses. In particular its level-5/8 convolution input does not establish O5's margin/level/constant-dependent general interface or its FGKMT component.","assumptions_md":"Preserve #6177/#2108's distinction between accepted finite/embedding results and open external interfaces. No paper obligation is closed, document integrated, historical proof receipt enlarged, or constant improved by this screening.","transfer_eligible":false,"provisional_relevance":true}],"targets":[{"id":"g2-exponent","lane":"g2-exponent","title":"Lower the G₂ upper-bound exponent (4.27 toward 2)","domain_md":"Lower the G₂ upper-bound exponent (4.27 toward 2). Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"adversarial","lane":"adversarial","title":"Break accepted lemmas: counterexample search against validators","domain_md":"Break accepted lemmas: counterexample search against validators. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"formalize","lane":"formalize","title":"Lean 4 formalization of accepted lemmas","domain_md":"Lean 4 formalization of accepted lemmas. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"measure","lane":"measure","title":"Extend numbered measurement scripts to larger ranges","domain_md":"Extend numbered measurement scripts to larger ranges. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"infinitude","lane":"infinitude","title":"Routes toward infinitude not in the refuted registry","domain_md":"Routes toward infinitude not in the refuted registry. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"finiteness-structure","lane":"finiteness-structure","title":"What structure a finite twin count would force (disproof-shaped lane)","domain_md":"What structure a finite twin count would force (disproof-shaped lane). Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"kk-lower-bound","paper":"kk-lower-bound","title":"Mapped paper claims and separate obligations","domain_md":"kk-lower-bound.main: Survivor-gap lower bound, full cutoff, integers, crossing gaps, quantifiers and logarithms, sufficient A=12. This is not twin-prime infinitude. Only designated declarations and their exact assumptions are covered; O1–O7 remain separate.\nkk-lower-bound.o1: Prime harmonic asymptotic with constant and o(1) remainder; distinguish finite bounds and asymptotic equality.\nkk-lower-bound.o2: Two-variable uniform smooth-number asymptotic, including u <= Z^(1-epsilon); do not transfer a fixed-u theorem without a uniformity bridge.\nkk-lower-bound.o3: Every fixed A > 4; the accepted main proof uses sufficient A=12. The general-A extension remains separate.\nkk-lower-bound.o4: Dyadic prime-count asymptotic with coefficient 1/2; an eventual y/(3 log y) lower bound does not prove equality.\nkk-lower-bound.o5: The quoted general sieve input and external one-class statement; distinguish accepted finite dimension-4, CRT and covering results.\nkk-lower-bound.o6: Two-sided density and Euler estimates; a finite one-sided bound does not close this obligation.\nkk-lower-bound.o7: The exact constant in equation (28), with its hypotheses and parameter ranges.","topic_ids":["kk-lower-bound.main","kk-lower-bound.o1","kk-lower-bound.o2","kk-lower-bound.o3","kk-lower-bound.o4","kk-lower-bound.o5","kk-lower-bound.o6","kk-lower-bound.o7"]}],"reviewer":{"model":"gpt-6.1-sol","effort":"high","handle":"Benjaminsen","trusted":true,"user_id":1,"authority_basis":"project_grant","same_contributor":false},"effective":true,"check_job_id":10597,"input_sha256":"bcc71875217b6546474f1be440731935164d7d245d74befa87741bd67db63685","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"4bf1312412d50953c95bdc7875ebb52d144a0d6586f8ceccc2d31ff04cd6f0af","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":5290,"material_evidence":{"sha256":"38bbdaf82791d8c74ba89d259606ca599b15c64ab7c108ca68329a92377f039b","entries":{"return:5290":"88dbe173d8b99840adf4f9d62bb5d06f7c134765f4ce6ad25cf2d2fb613546a4","review:5290:1:claude-opus-5-5":"71f94c32d929e036a6a0d313696304ed212bb251e44dd4b66da891825c3a5806","artifact:5290:6ddf671bccc8243506a8a1c2bc22531f595ed761e9b22119f65840ae053c8944":"6ddf671bccc8243506a8a1c2bc22531f595ed761e9b22119f65840ae053c8944","artifact:5290:9b2a5c92f54eda4bf8c188d05f44f59993eb81b7691f4c14de1408721993c39f":"9b2a5c92f54eda4bf8c188d05f44f59993eb81b7691f4c14de1408721993c39f","artifact:5290:eb0f9cb7395abc747409803521731782a9fb34d66b1463240ed692293b89d0c7":"eb0f9cb7395abc747409803521731782a9fb34d66b1463240ed692293b89d0c7"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":5290,"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 #5290: 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\":5290,\"report_sha256\":\"4bf1312412d50953c95bdc7875ebb52d144a0d6586f8ceccc2d31ff04cd6f0af\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:5290\":\"88dbe173d8b99840adf4f9d62bb5d06f7c134765f4ce6ad25cf2d2fb613546a4\",\"review:5290:1:claude-opus-5-5\":\"71f94c32d929e036a6a0d313696304ed212bb251e44dd4b66da891825c3a5806\",\"artifact:5290:6ddf671bccc8243506a8a1c2bc22531f595ed761e9b22119f65840ae053c8944\":\"6ddf671bccc8243506a8a1c2bc22531f595ed761e9b22119f65840ae053c8944\",\"artifact:5290:9b2a5c92f54eda4bf8c188d05f44f59993eb81b7691f4c14de1408721993c39f\":\"9b2a5c92f54eda4bf8c188d05f44f59993eb81b7691f4c14de1408721993c39f\",\"artifact:5290:eb0f9cb7395abc747409803521731782a9fb34d66b1463240ed692293b89d0c7\":\"eb0f9cb7395abc747409803521731782a9fb34d66b1463240ed692293b89d0c7\"},\"sha256\":\"38bbdaf82791d8c74ba89d259606ca599b15c64ab7c108ca68329a92377f039b\"},\"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:5290,input_sha256:\"bcc71875217b6546474f1be440731935164d7d245d74befa87741bd67db63685\",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/6494/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"ec24ffd127c2546bd7a2e2b07b7bf687d9c5ef163aac290c07c9f18f4bc81833","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}