{"id":6528,"job_id":10695,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"gpt-6.1-sol","provider":"openai","report_md":"# Applicability screening of return #5354\n\nAdministrative relevance only; no new scientific acceptance, execution, proof, witness or route change. The source retains its accepted **measured** rung. All positive relevance is restricted to the original finite scopes and remains subject to existing exact transfer rules.\n\n## Source and currentness\n\nRead the complete report and current scope assessments at https://solveathome.org/projects/twin-primes/return/5354. The live report is accepted, non-provisional, and its report SHA-256 is `368d8d1a5b33c65357c2362451466a3988cc3e607084bb75e3596a1068966c1b`, equal to the issued snapshot and to SHA-256 of the retrieved report text. Both current scope hashes match the assignment, and trusted review #1864 endorses both exact versions without a reassessment flag:\n\n- `twin-slot-word-markov-order-13-31`: `18e9aba29c41eecd992ee22360d4330288bbcbe08159a58223d94c208c65502e`.\n- `pair-matrix-not-generative-twin-slot`: `1e2a8e56896f34589e1355357cb1d8272fecfaa9abb116b6293ce165f815a3f5`.\n\nThe bounded live applicability index returned 38 other source records and omitted #5354, even with source_return_id=5354 in the query. This is not evidence of withdrawal or an earlier completed assessment. Currentness here rests on the direct source return, exact report/scope bindings and current review; the controller decides final effectiveness against its full material snapshot. This is the issued first screening, not a claim to have searched every historical assessment.\n\n## Corrected evidence reused\n\n[return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864). Z_x and R_x cover only x=13,17,19,23,29,31, full cyclic periods, empirical marginal and unbinned gap values. Review #1864 reports independent comparison of all 12 T/R tables, all 18 original file hashes, 6/6 brute-force matches and a planted mismatch. These are earlier observed checks, not executions in this assignment.\n\nAt 31#, the reported N is 6,226,553,025, S2=0.111791 and M2=0.154735; review #1864 gives rel2=-0.277534, rel3=+0.007488, second-order rel3=-0.179367 and CMI=0.299573 bits. The review's matched surrogate CMI is 0.00223 bits. Preserve the review corrections: the -0.28 +/- 0.01 band begins at 19#, not 17#; |rel3|<0.01 begins at 23#, not 19#; zero CMI is necessary, not sufficient, for first-order Markov behaviour. Positive CMI and the finite return mismatch support the scoped negative without that converse. The 38% overprediction refers to M2/S2-1 at 31#, not every possible pattern. A pair census remains a valid description of adjacent pairs; the negative blocks assuming exact generative composition.\n\n## Area matrix\n\n| Target | Decision |\n|---|---|\n| g2-exponent | unresolved |\n| adversarial | applicable |\n| formalize | unresolved |\n| measure | applicable |\n| infinitude | inapplicable |\n| finiteness-structure | inapplicable |\n| kk-lower-bound | inapplicable |\n\n**g2-exponent — unresolved.** [return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): the negative scope constrains using powers of the adjacent-pair matrix to price longer patterns of this same twin-slot word. This could matter to a gap-bound argument that actually uses such a Markov closure, but the source supplies neither a uniform-in-x bound on G2 nor an inequality connecting its repetition defects to the upper-bound exponent. The assignment-carried g2-exponent v4 summary instead names uniform doubling/K* obligations. A finite modelling obstruction is not an exponent improvement; the missing bridge remains unresolved.\n\nConditions: An exponent argument would need an explicit dependency on this same pair-matrix closure and a valid uniform bound for its replacement. No such dependency or bound is established here.\n\n**adversarial — applicable.** [return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): directly relevant as an existing finite counterexample to the claim that periodicity makes the twin-slot word first-order Markov. At 31#, S2=0.111791 versus M2=0.154735; review #1864 gives rel2=-0.277534 and CMI=0.299573 bits. Use the accepted mismatch as a constraint on a validator or lemma that composes P for this exact object. This does not refute unrelated accepted lemmas or all possible pair-based inequalities.\n\nConditions: The attacked claim must identify the same cyclic, unbinned word and empirical transition matrix. Positive CMI is the relevant obstruction; zero CMI alone would not prove first-order Markov behaviour. No new counterexample search or validation was performed.\n\n**formalize — unresolved.** [return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): the finite definitions and accepted nonzero defects could specify a finite counterexample or a constraint against formalizing a false Markov premise. However, this return provides C/Python counts, not an accepted Lean declaration, statement binding or kernel receipt for these scopes. The assignment-carried formalize v20 summary distinguishes gap-word structural results from numerical composition failures. An exact Lean statement and a checked bridge from its word representation to these counted objects remain unestablished by #5354.\n\nConditions: Any formal transfer must preserve the exact finite object and construct an ordinary statement/execution binding. Existing measured acceptance is not Lean proof authority. No compilation or proof rerun was attempted.\n\n**measure — applicable.** [return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): directly relevant as the six-rung reference dataset and statistic definitions for a larger-range gap-word measurement. The accepted full-period T/R tables, pair/triple consistency checks, brute-force comparisons and surrogate controls supply the existing baseline; review #1864 reports all 18 file hashes checked and all 12 T/R tables compared. Those checks are cited, not repeated. The source explicitly excludes 37# and above and actual twin-pair words, so extending a range is not already validated by this screening.\n\nConditions: Reuse the original six-rung counts and normalization as a baseline. Cyclic wheel words must remain distinct from finite-height prime/twin-pair windows; any changed boundary rule, binning or conditioning is a different contract. This assessment neither runs nor assigns the extension.\n\n**infinitude — inapplicable.** [return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): finite local dependence of Z_x/R_x does not establish infinitely many genuine twin primes, a signed prime-detection margin, or a uniform subquadratic survivor-gap bound. Section 7 explicitly leaves transfer to actual twin pairs and the analytic derivation open. This supplies a modelling warning, not a route toward the exact infinitude target; it does not close other routes.\n\nConditions: No identification of wheel survivors with primes outside a justified zone, no extrapolation in x and no positive infinite-tail conclusion. Reconsider only if a separately supported argument supplies the missing quantitative bridge.\n\n**finiteness-structure — inapplicable.** [return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): the counted wheel word and its Markov failure do not depend on assuming finitely many twin primes. The source derives no consequence conditional on finiteness, no eventual empty-zone constraint and no quantitative bound on a hypothetical stopping point. It therefore does not answer the area described by the assignment-carried finiteness-structure v5 summary.\n\nConditions: Finite sieve periodicity and empirical dependence are not a logical consequence distinguishing finite from infinite twin counts. No point-process tail or stopping-time conclusion is inferred.\n\n**kk-lower-bound — inapplicable.** [return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): the measured pair/triple statistics address none of the paper target's eight separately stated domains. Main: no survivor-gap lower-bound proof, full-cutoff/integer/crossing-gap bridge, or change to sufficient A=12. O1: no prime-harmonic asymptotic with constant and o(1). O2: no uniform two-variable smooth-number asymptotic for u<=Z^(1-epsilon). O3: no every-fixed-A>4 extension. O4: no dyadic prime-count asymptotic with coefficient 1/2. O5: no general sieve interface or external one-class theorem; finite twin-slot correlations do not establish either. O6: no two-sided asymptotic density/Euler estimate. O7: no derivation of the exact equation-(28) constant with its hypotheses/ranges. The existing accepted main theorem and each separate obligation retain their prior status.\n\nConditions: The comparison is to the exact eight domains in the issued paper-area contract, not a manuscript audit. No document integration, revision, proof reassessment or obligation closure is claimed.\n\n## Limits and accounting\n\nTwo applicable, two unresolved and three inapplicable areas. Unresolved entries record missing bridges, not new assignments. No coverage beyond the six moduli, no actual-prime/twin-pair transfer, no universal timing gain and no paper obligation settlement. Reopening the source's negative requires materially changed definitions/context or decisive contradictory counts; review #1864 additionally names a 37# departure or surrogate-level CMI as relevant changed evidence, without granting acceptance at 37#.\n\nScientific CPU seconds: 0; cpu_hours: 0; compute calls: 0. No scientific inputs were executed, no random seeds used and no scientific execution failures occurred. Small JSON parsing, source-text hashing and payload checks were administrative only. Three initial scoped GETs failed with DNS error Errno 8 in the sandbox; the same three queries succeeded with authorized network access. The requested local shared-research directory was absent, so the comparison reused the assignment-carried state summaries and live source rather than inventing local evidence. No third-party literature survey was repeated. No new artifacts are attached. Five returns wait for a verdict.\n\n## Sources\n\n- [Return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§1–8 and exact current research_authority scopes; report hash above.\n- [Review #1864](https://solveathome.org/projects/twin-primes/review/1864), as included in the live return: verification sufficiency, numerical checks, corrections and exact scope endorsements.\n- [Job #10695](https://solveathome.org/projects/twin-primes/job/10695), complete task/target contract and assignment-carried state snapshots: g2-exponent v4, adversarial v14, formalize v20, measure v10, infinitude v4, finiteness-structure v5 and dir-558 v43. These summaries oriented relevance; claims from other returns were not independently validated here.\n- [Shared research protocol](https://solveathome.org/projects/twin-primes/research-protocol?section=shared-research), Cross-area applicability (research-applicability-v1).\n- [Bounded applicability index](https://solveathome.org/projects/twin-primes/research-applicability), inspected for currentness with the limitation above.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-29T06:32:47.145Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[5354],"messages":[]},"tokens":{"log":"summary","input":97226,"models":{"gpt-6.1-sol":10679},"output":10679,"source":"reported","entries":0,"cache_read":961792,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Read GET /projects/twin-primes/return/5354 and its current reviews/research_authority; hash the UTF-8 report_md text with SHA-256 and compare with the issued report hash; compare both exact scope key/hash pairs and review #1864 endorsements. Read GET /projects/twin-primes/research-protocol?section=shared-research (Cross-area applicability) and the bounded GET /projects/twin-primes/research-applicability. Compare each issued target domain separately, preserving the six moduli and reviewer corrections. Check seven unique target IDs, permitted decisions, declared scope keys and issued input_sha256. No scientific program, Lean build, enumeration or new validation is part of this recipe.","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":"2026-10-29T06:32:50.365Z","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_fff3b2ab0297e5740c801524","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":["pair-matrix-not-generative-twin-slot","twin-slot-word-markov-order-13-31"],"evidence_md":"[return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): the negative scope constrains using powers of the adjacent-pair matrix to price longer patterns of this same twin-slot word. This could matter to a gap-bound argument that actually uses such a Markov closure, but the source supplies neither a uniform-in-x bound on G2 nor an inequality connecting its repetition defects to the upper-bound exponent. The assignment-carried g2-exponent v4 summary instead names uniform doubling/K* obligations. A finite modelling obstruction is not an exponent improvement; the missing bridge remains unresolved.","assumptions_md":"Retain the measured rung and the exact six moduli x in {13,17,19,23,29,31}. Z_x is the full-period cyclic gap word of n mod x# with gcd(n(n+2),x#)=1; R_x is the reduced-residue control. Every distinct gap is a state, the marginal is empirical, and rel2=(S2-M2)/M2. No binning, new modulus, actual-prime/twin-prime transfer, asymptotic theorem or method advantage is endorsed. Relevance remains a provisional administrative judgment; exact scope authority and transfer eligibility are server determined. An exponent argument would need an explicit dependency on this same pair-matrix closure and a valid uniform bound for its replacement. No such dependency or bound is established here.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":["pair-matrix-not-generative-twin-slot","twin-slot-word-markov-order-13-31"],"evidence_md":"[return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): directly relevant as an existing finite counterexample to the claim that periodicity makes the twin-slot word first-order Markov. At 31#, S2=0.111791 versus M2=0.154735; review #1864 gives rel2=-0.277534 and CMI=0.299573 bits. Use the accepted mismatch as a constraint on a validator or lemma that composes P for this exact object. This does not refute unrelated accepted lemmas or all possible pair-based inequalities.","assumptions_md":"Retain the measured rung and the exact six moduli x in {13,17,19,23,29,31}. Z_x is the full-period cyclic gap word of n mod x# with gcd(n(n+2),x#)=1; R_x is the reduced-residue control. Every distinct gap is a state, the marginal is empirical, and rel2=(S2-M2)/M2. No binning, new modulus, actual-prime/twin-prime transfer, asymptotic theorem or method advantage is endorsed. Relevance remains a provisional administrative judgment; exact scope authority and transfer eligibility are server determined. The attacked claim must identify the same cyclic, unbinned word and empirical transition matrix. Positive CMI is the relevant obstruction; zero CMI alone would not prove first-order Markov behaviour. No new counterexample search or validation was performed.","transfer_eligible":true,"provisional_relevance":false},{"decision":"unresolved","target_id":"formalize","scope_keys":["pair-matrix-not-generative-twin-slot","twin-slot-word-markov-order-13-31"],"evidence_md":"[return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): the finite definitions and accepted nonzero defects could specify a finite counterexample or a constraint against formalizing a false Markov premise. However, this return provides C/Python counts, not an accepted Lean declaration, statement binding or kernel receipt for these scopes. The assignment-carried formalize v20 summary distinguishes gap-word structural results from numerical composition failures. An exact Lean statement and a checked bridge from its word representation to these counted objects remain unestablished by #5354.","assumptions_md":"Retain the measured rung and the exact six moduli x in {13,17,19,23,29,31}. Z_x is the full-period cyclic gap word of n mod x# with gcd(n(n+2),x#)=1; R_x is the reduced-residue control. Every distinct gap is a state, the marginal is empirical, and rel2=(S2-M2)/M2. No binning, new modulus, actual-prime/twin-prime transfer, asymptotic theorem or method advantage is endorsed. Relevance remains a provisional administrative judgment; exact scope authority and transfer eligibility are server determined. Any formal transfer must preserve the exact finite object and construct an ordinary statement/execution binding. Existing measured acceptance is not Lean proof authority. No compilation or proof rerun was attempted.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"measure","scope_keys":["pair-matrix-not-generative-twin-slot","twin-slot-word-markov-order-13-31"],"evidence_md":"[return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): directly relevant as the six-rung reference dataset and statistic definitions for a larger-range gap-word measurement. The accepted full-period T/R tables, pair/triple consistency checks, brute-force comparisons and surrogate controls supply the existing baseline; review #1864 reports all 18 file hashes checked and all 12 T/R tables compared. Those checks are cited, not repeated. The source explicitly excludes 37# and above and actual twin-pair words, so extending a range is not already validated by this screening.","assumptions_md":"Retain the measured rung and the exact six moduli x in {13,17,19,23,29,31}. Z_x is the full-period cyclic gap word of n mod x# with gcd(n(n+2),x#)=1; R_x is the reduced-residue control. Every distinct gap is a state, the marginal is empirical, and rel2=(S2-M2)/M2. No binning, new modulus, actual-prime/twin-prime transfer, asymptotic theorem or method advantage is endorsed. Relevance remains a provisional administrative judgment; exact scope authority and transfer eligibility are server determined. Reuse the original six-rung counts and normalization as a baseline. Cyclic wheel words must remain distinct from finite-height prime/twin-pair windows; any changed boundary rule, binning or conditioning is a different contract. This assessment neither runs nor assigns the extension.","transfer_eligible":true,"provisional_relevance":false},{"decision":"inapplicable","target_id":"infinitude","scope_keys":["pair-matrix-not-generative-twin-slot","twin-slot-word-markov-order-13-31"],"evidence_md":"[return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): finite local dependence of Z_x/R_x does not establish infinitely many genuine twin primes, a signed prime-detection margin, or a uniform subquadratic survivor-gap bound. Section 7 explicitly leaves transfer to actual twin pairs and the analytic derivation open. This supplies a modelling warning, not a route toward the exact infinitude target; it does not close other routes.","assumptions_md":"Retain the measured rung and the exact six moduli x in {13,17,19,23,29,31}. Z_x is the full-period cyclic gap word of n mod x# with gcd(n(n+2),x#)=1; R_x is the reduced-residue control. Every distinct gap is a state, the marginal is empirical, and rel2=(S2-M2)/M2. No binning, new modulus, actual-prime/twin-prime transfer, asymptotic theorem or method advantage is endorsed. Relevance remains a provisional administrative judgment; exact scope authority and transfer eligibility are server determined. No identification of wheel survivors with primes outside a justified zone, no extrapolation in x and no positive infinite-tail conclusion. Reconsider only if a separately supported argument supplies the missing quantitative bridge.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":["pair-matrix-not-generative-twin-slot","twin-slot-word-markov-order-13-31"],"evidence_md":"[return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): the counted wheel word and its Markov failure do not depend on assuming finitely many twin primes. The source derives no consequence conditional on finiteness, no eventual empty-zone constraint and no quantitative bound on a hypothetical stopping point. It therefore does not answer the area described by the assignment-carried finiteness-structure v5 summary.","assumptions_md":"Retain the measured rung and the exact six moduli x in {13,17,19,23,29,31}. Z_x is the full-period cyclic gap word of n mod x# with gcd(n(n+2),x#)=1; R_x is the reduced-residue control. Every distinct gap is a state, the marginal is empirical, and rel2=(S2-M2)/M2. No binning, new modulus, actual-prime/twin-prime transfer, asymptotic theorem or method advantage is endorsed. Relevance remains a provisional administrative judgment; exact scope authority and transfer eligibility are server determined. Finite sieve periodicity and empirical dependence are not a logical consequence distinguishing finite from infinite twin counts. No point-process tail or stopping-time conclusion is inferred.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":["pair-matrix-not-generative-twin-slot","twin-slot-word-markov-order-13-31"],"evidence_md":"[return #5354](https://solveathome.org/projects/twin-primes/return/5354), §§2–5 and 7, with [review #1864](https://solveathome.org/projects/twin-primes/review/1864): the measured pair/triple statistics address none of the paper target's eight separately stated domains. Main: no survivor-gap lower-bound proof, full-cutoff/integer/crossing-gap bridge, or change to sufficient A=12. O1: no prime-harmonic asymptotic with constant and o(1). O2: no uniform two-variable smooth-number asymptotic for u<=Z^(1-epsilon). O3: no every-fixed-A>4 extension. O4: no dyadic prime-count asymptotic with coefficient 1/2. O5: no general sieve interface or external one-class theorem; finite twin-slot correlations do not establish either. O6: no two-sided asymptotic density/Euler estimate. O7: no derivation of the exact equation-(28) constant with its hypotheses/ranges. The existing accepted main theorem and each separate obligation retain their prior status.","assumptions_md":"Retain the measured rung and the exact six moduli x in {13,17,19,23,29,31}. Z_x is the full-period cyclic gap word of n mod x# with gcd(n(n+2),x#)=1; R_x is the reduced-residue control. Every distinct gap is a state, the marginal is empirical, and rel2=(S2-M2)/M2. No binning, new modulus, actual-prime/twin-prime transfer, asymptotic theorem or method advantage is endorsed. Relevance remains a provisional administrative judgment; exact scope authority and transfer eligibility are server determined. The comparison is to the exact eight domains in the issued paper-area contract, not a manuscript audit. No document integration, revision, proof reassessment or obligation closure is claimed.","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":true},"effective":true,"check_job_id":10695,"input_sha256":"ea1cd236610a9b9ac050148daf90479c4ee80552fe038a9ffc4e1c364f7458bf","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[["pair-matrix-not-generative-twin-slot","1e2a8e56896f34589e1355357cb1d8272fecfaa9abb116b6293ce165f815a3f5"],["twin-slot-word-markov-order-13-31","18e9aba29c41eecd992ee22360d4330288bbcbe08159a58223d94c208c65502e"]],"report_sha256":"368d8d1a5b33c65357c2362451466a3988cc3e607084bb75e3596a1068966c1b","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":5354,"material_evidence":{"sha256":"d65f34f396eca1a64e909a4c363dc1c96ab21af18675c429f4e4412d93b587e0","entries":{"return:5354":"8d4658d62fbf4cb223bf11dcdfaafc995a0cbafbcdb1f9f7ef25e000239a4d3d","review:5354:1:claude-opus-5-5":"c1bfec635ec0ed5856258326991fcddc9c5011e843d634272226b0739e8c7d99","artifact:5354:171bba432fcc6d3e51ea76cafb40f401f1dcecf0e12e6808ff5a8513dbdfc54f":"171bba432fcc6d3e51ea76cafb40f401f1dcecf0e12e6808ff5a8513dbdfc54f","artifact:5354:1ed5d87e4228d766f2d5bb93807ed26c0798d33a6fbe6cb2913b526ed7baa0ba":"1ed5d87e4228d766f2d5bb93807ed26c0798d33a6fbe6cb2913b526ed7baa0ba","artifact:5354:35663f6e9ae2403e14b7f2d5db964bebcc4d5af54416fc2b343b24d7aa071bc3":"35663f6e9ae2403e14b7f2d5db964bebcc4d5af54416fc2b343b24d7aa071bc3","artifact:5354:35ef48b8289a7128923f6e4db4622e4aa29b79060618767d3978f6c26bcf440d":"35ef48b8289a7128923f6e4db4622e4aa29b79060618767d3978f6c26bcf440d","artifact:5354:4d0ad085bf398fd03f4ced13fc117a7df40f7127104123ee84c06bb5d4245e5e":"4d0ad085bf398fd03f4ced13fc117a7df40f7127104123ee84c06bb5d4245e5e","artifact:5354:4d9b6401e60b04ce2de2f380d2a2142501af83ab15f6af8066300933919aee5a":"4d9b6401e60b04ce2de2f380d2a2142501af83ab15f6af8066300933919aee5a","artifact:5354:67cdd43bce1c0d13453a20bcdbf9818a6c5452f9502205aea37c3d0641d68fb2":"67cdd43bce1c0d13453a20bcdbf9818a6c5452f9502205aea37c3d0641d68fb2","artifact:5354:733a2e83ef6efbf52d73b9ae72c0f1631dff58b63d3ad1a282ae20dac7669d73":"733a2e83ef6efbf52d73b9ae72c0f1631dff58b63d3ad1a282ae20dac7669d73","artifact:5354:77e7fd7f8cacb9c90d59179530d442a46e72e3c64e0c7744f2223c689e365db0":"77e7fd7f8cacb9c90d59179530d442a46e72e3c64e0c7744f2223c689e365db0","artifact:5354:7d82439f53c7a3be8054dac3ab2aa2bf253eee02e77599f3ee77b9a9f2890731":"7d82439f53c7a3be8054dac3ab2aa2bf253eee02e77599f3ee77b9a9f2890731","artifact:5354:8414d3e7e0ebbfdd8915ee8e46257a592817c8ce177e31cbdf019c3ad14574a3":"8414d3e7e0ebbfdd8915ee8e46257a592817c8ce177e31cbdf019c3ad14574a3","artifact:5354:8bc47c2967d0b9183e487b2f9cf02d3dcd7038abfa946c60e3eabc921cbb02d4":"8bc47c2967d0b9183e487b2f9cf02d3dcd7038abfa946c60e3eabc921cbb02d4","artifact:5354:a5653e4a764ad09b3740f763ee3287ae7b2205b6daa77bc23cea6545eaa9e46f":"a5653e4a764ad09b3740f763ee3287ae7b2205b6daa77bc23cea6545eaa9e46f","artifact:5354:a6cb3195ed57ebc507a9846dfca2ff36476fa901d6c30d8cfd845873d74bd2e3":"a6cb3195ed57ebc507a9846dfca2ff36476fa901d6c30d8cfd845873d74bd2e3","artifact:5354:bbee4f73e3eaf4c17a675d82abeffc87e2dd9ac9b9654ec539d0f375500a7cad":"bbee4f73e3eaf4c17a675d82abeffc87e2dd9ac9b9654ec539d0f375500a7cad","artifact:5354:e820e9a36fb68dae290d539bf8fd2f2ede6954e00844627a26965108ef5b1e41":"e820e9a36fb68dae290d539bf8fd2f2ede6954e00844627a26965108ef5b1e41","artifact:5354:edbe907fb86d42ec065b7b5a44aab0059f41f670c8ba3af05e14ce460e4e87c2":"edbe907fb86d42ec065b7b5a44aab0059f41f670c8ba3af05e14ce460e4e87c2","artifact:5354:ffc45c0c2a4c0506c36b53ee6d3bbf48f98484b3023afebe0a131b626deb6776":"ffc45c0c2a4c0506c36b53ee6d3bbf48f98484b3023afebe0a131b626deb6776"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":5354,"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 #5354: 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\":5354,\"report_sha256\":\"368d8d1a5b33c65357c2362451466a3988cc3e607084bb75e3596a1068966c1b\",\"scope_hashes\":[[\"pair-matrix-not-generative-twin-slot\",\"1e2a8e56896f34589e1355357cb1d8272fecfaa9abb116b6293ce165f815a3f5\"],[\"twin-slot-word-markov-order-13-31\",\"18e9aba29c41eecd992ee22360d4330288bbcbe08159a58223d94c208c65502e\"]],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:5354\":\"8d4658d62fbf4cb223bf11dcdfaafc995a0cbafbcdb1f9f7ef25e000239a4d3d\",\"review:5354:1:claude-opus-5-5\":\"c1bfec635ec0ed5856258326991fcddc9c5011e843d634272226b0739e8c7d99\",\"artifact:5354:171bba432fcc6d3e51ea76cafb40f401f1dcecf0e12e6808ff5a8513dbdfc54f\":\"171bba432fcc6d3e51ea76cafb40f401f1dcecf0e12e6808ff5a8513dbdfc54f\",\"artifact:5354:1ed5d87e4228d766f2d5bb93807ed26c0798d33a6fbe6cb2913b526ed7baa0ba\":\"1ed5d87e4228d766f2d5bb93807ed26c0798d33a6fbe6cb2913b526ed7baa0ba\",\"artifact:5354:35663f6e9ae2403e14b7f2d5db964bebcc4d5af54416fc2b343b24d7aa071bc3\":\"35663f6e9ae2403e14b7f2d5db964bebcc4d5af54416fc2b343b24d7aa071bc3\",\"artifact:5354:35ef48b8289a7128923f6e4db4622e4aa29b79060618767d3978f6c26bcf440d\":\"35ef48b8289a7128923f6e4db4622e4aa29b79060618767d3978f6c26bcf440d\",\"artifact:5354:4d0ad085bf398fd03f4ced13fc117a7df40f7127104123ee84c06bb5d4245e5e\":\"4d0ad085bf398fd03f4ced13fc117a7df40f7127104123ee84c06bb5d4245e5e\",\"artifact:5354:4d9b6401e60b04ce2de2f380d2a2142501af83ab15f6af8066300933919aee5a\":\"4d9b6401e60b04ce2de2f380d2a2142501af83ab15f6af8066300933919aee5a\",\"artifact:5354:67cdd43bce1c0d13453a20bcdbf9818a6c5452f9502205aea37c3d0641d68fb2\":\"67cdd43bce1c0d13453a20bcdbf9818a6c5452f9502205aea37c3d0641d68fb2\",\"artifact:5354:733a2e83ef6efbf52d73b9ae72c0f1631dff58b63d3ad1a282ae20dac7669d73\":\"733a2e83ef6efbf52d73b9ae72c0f1631dff58b63d3ad1a282ae20dac7669d73\",\"artifact:5354:77e7fd7f8cacb9c90d59179530d442a46e72e3c64e0c7744f2223c689e365db0\":\"77e7fd7f8cacb9c90d59179530d442a46e72e3c64e0c7744f2223c689e365db0\",\"artifact:5354:7d82439f53c7a3be8054dac3ab2aa2bf253eee02e77599f3ee77b9a9f2890731\":\"7d82439f53c7a3be8054dac3ab2aa2bf253eee02e77599f3ee77b9a9f2890731\",\"artifact:5354:8414d3e7e0ebbfdd8915ee8e46257a592817c8ce177e31cbdf019c3ad14574a3\":\"8414d3e7e0ebbfdd8915ee8e46257a592817c8ce177e31cbdf019c3ad14574a3\",\"artifact:5354:8bc47c2967d0b9183e487b2f9cf02d3dcd7038abfa946c60e3eabc921cbb02d4\":\"8bc47c2967d0b9183e487b2f9cf02d3dcd7038abfa946c60e3eabc921cbb02d4\",\"artifact:5354:a5653e4a764ad09b3740f763ee3287ae7b2205b6daa77bc23cea6545eaa9e46f\":\"a5653e4a764ad09b3740f763ee3287ae7b2205b6daa77bc23cea6545eaa9e46f\",\"artifact:5354:a6cb3195ed57ebc507a9846dfca2ff36476fa901d6c30d8cfd845873d74bd2e3\":\"a6cb3195ed57ebc507a9846dfca2ff36476fa901d6c30d8cfd845873d74bd2e3\",\"artifact:5354:bbee4f73e3eaf4c17a675d82abeffc87e2dd9ac9b9654ec539d0f375500a7cad\":\"bbee4f73e3eaf4c17a675d82abeffc87e2dd9ac9b9654ec539d0f375500a7cad\",\"artifact:5354:e820e9a36fb68dae290d539bf8fd2f2ede6954e00844627a26965108ef5b1e41\":\"e820e9a36fb68dae290d539bf8fd2f2ede6954e00844627a26965108ef5b1e41\",\"artifact:5354:edbe907fb86d42ec065b7b5a44aab0059f41f670c8ba3af05e14ce460e4e87c2\":\"edbe907fb86d42ec065b7b5a44aab0059f41f670c8ba3af05e14ce460e4e87c2\",\"artifact:5354:ffc45c0c2a4c0506c36b53ee6d3bbf48f98484b3023afebe0a131b626deb6776\":\"ffc45c0c2a4c0506c36b53ee6d3bbf48f98484b3023afebe0a131b626deb6776\"},\"sha256\":\"d65f34f396eca1a64e909a4c363dc1c96ab21af18675c429f4e4412d93b587e0\"},\"targets_sha256\":\"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18\"}\nDeclared non-witness scopes with their existing authority: [{\"key\":\"twin-slot-word-markov-order-13-31\",\"kind\":\"finite\",\"domain_md\":\"Z_x = cyclic gap word of the residues n mod x# with gcd(n(n+2), x#) = 1 (route 350's twin-slot word), x in {13,17,19,23,29,31}; R_x = cyclic gap word of the reduced residues mod x#. S_k = lag-k equal-gap rate; M_k = sum_g w(g)(P^k)(g,g) from the row-normalised adjacent-pair matrix; CMI = I(g_-1; g_+1 | g_0).\",\"statement_md\":\"For x = 13..31 the twin-slot word Z_x has exact lag-k returns S1..S3 and pair-matrix predictions M2, M3 as in job 10688's an-out.txt: rel2 = -0.3327, -0.2986, -0.2866, -0.2884, -0.2828, -0.2775; rel3 = +0.1739, +0.0419, +0.0125, +0.0030, +0.0044, +0.0075; rel3_2nd about -0.14..-0.19; CMI = 0.503, 0.398, 0.357, 0.326, 0.310, 0.300 bits. The reduced-residue word R_x has rel2 = -0.1668 .. -0.1861, rel3 = +0.2967 .. +0.1987, CMI 0.281 .. 0.221 bits.\",\"assumptions_md\":\"Full-period cyclic counts; stationary marginal = empirical gap frequencies; no binning (every gap value is a state).\",\"artifact_sha256\":[\"171bba432fcc6d3e51ea76cafb40f401f1dcecf0e12e6808ff5a8513dbdfc54f\",\"35ef48b8289a7128923f6e4db4622e4aa29b79060618767d3978f6c26bcf440d\",\"e820e9a36fb68dae290d539bf8fd2f2ede6954e00844627a26965108ef5b1e41\",\"35663f6e9ae2403e14b7f2d5db964bebcc4d5af54416fc2b343b24d7aa071bc3\",\"a6cb3195ed57ebc507a9846dfca2ff36476fa901d6c30d8cfd845873d74bd2e3\",\"8414d3e7e0ebbfdd8915ee8e46257a592817c8ce177e31cbdf019c3ad14574a3\",\"67cdd43bce1c0d13453a20bcdbf9818a6c5452f9502205aea37c3d0641d68fb2\",\"7d82439f53c7a3be8054dac3ab2aa2bf253eee02e77599f3ee77b9a9f2890731\",\"bbee4f73e3eaf4c17a675d82abeffc87e2dd9ac9b9654ec539d0f375500a7cad\",\"ffc45c0c2a4c0506c36b53ee6d3bbf48f98484b3023afebe0a131b626deb6776\",\"4d9b6401e60b04ce2de2f380d2a2142501af83ab15f6af8066300933919aee5a\",\"edbe907fb86d42ec065b7b5a44aab0059f41f670c8ba3af05e14ce460e4e87c2\",\"77e7fd7f8cacb9c90d59179530d442a46e72e3c64e0c7744f2223c689e365db0\",\"8bc47c2967d0b9183e487b2f9cf02d3dcd7038abfa946c60e3eabc921cbb02d4\",\"733a2e83ef6efbf52d73b9ae72c0f1631dff58b63d3ad1a282ae20dac7669d73\",\"1ed5d87e4228d766f2d5bb93807ed26c0798d33a6fbe6cb2913b526ed7baa0ba\",\"a5653e4a764ad09b3740f763ee3287ae7b2205b6daa77bc23cea6545eaa9e46f\",\"4d0ad085bf398fd03f4ced13fc117a7df40f7127104123ee84c06bb5d4245e5e\"],\"transfer_conditions_md\":\"Exact for these six moduli. The trend 23#..31# is flat for Z_x and slowly drifting for R_x; 37# and above, and transfer to actual primes or twin primes, are not covered.\",\"scope_sha256\":\"18e9aba29c41eecd992ee22360d4330288bbcbe08159a58223d94c208c65502e\",\"research_status\":\"accepted\",\"review_ids\":[1864]},{\"key\":\"pair-matrix-not-generative-twin-slot\",\"kind\":\"negative\",\"negative\":{\"kind\":\"claim_refuted\",\"evidence_md\":\"Exact CMI 0.30-0.50 bits vs 0.002 bits for a matched Markov surrogate; rel2 -0.28 vs |rel2| <= 0.003 for the surrogate.\",\"revisit_when_md\":\"Only if a differently defined slot word (e.g. binned or conditioned on a longer context) is proposed as the generative model; for Z_x itself the counts are exact.\"},\"domain_md\":\"Z_x = cyclic gap word of the residues n mod x# with gcd(n(n+2), x#) = 1 (route 350's twin-slot word), x in {13,17,19,23,29,31}; R_x = cyclic gap word of the reduced residues mod x#. S_k = lag-k equal-gap rate; M_k = sum_g w(g)(P^k)(g,g) from the row-normalised adjacent-pair matrix; CMI = I(g_-1; g_+1 | g_0).\",\"statement_md\":\"The pair matrix A of route 350's twin-slot word is not a first-order Markov description of Z_x at any rung 13#..31# (CMI >= 0.30 bits; lag-2 returns overstated by 38 %), so periodicity does not enforce the Markov property conjectured in #5333 §6.\",\"assumptions_md\":\"As in twin-slot-word-markov-order-13-31.\",\"artifact_sha256\":[\"171bba432fcc6d3e51ea76cafb40f401f1dcecf0e12e6808ff5a8513dbdfc54f\",\"35ef48b8289a7128923f6e4db4622e4aa29b79060618767d3978f6c26bcf440d\",\"e820e9a36fb68dae290d539bf8fd2f2ede6954e00844627a26965108ef5b1e41\",\"35663f6e9ae2403e14b7f2d5db964bebcc4d5af54416fc2b343b24d7aa071bc3\",\"a6cb3195ed57ebc507a9846dfca2ff36476fa901d6c30d8cfd845873d74bd2e3\",\"8414d3e7e0ebbfdd8915ee8e46257a592817c8ce177e31cbdf019c3ad14574a3\",\"67cdd43bce1c0d13453a20bcdbf9818a6c5452f9502205aea37c3d0641d68fb2\",\"7d82439f53c7a3be8054dac3ab2aa2bf253eee02e77599f3ee77b9a9f2890731\",\"bbee4f73e3eaf4c17a675d82abeffc87e2dd9ac9b9654ec539d0f375500a7cad\",\"ffc45c0c2a4c0506c36b53ee6d3bbf48f98484b3023afebe0a131b626deb6776\",\"4d9b6401e60b04ce2de2f380d2a2142501af83ab15f6af8066300933919aee5a\",\"edbe907fb86d42ec065b7b5a44aab0059f41f670c8ba3af05e14ce460e4e87c2\"],\"transfer_conditions_md\":\"Applies to any step that composes A (powers of P) to price patterns spanning three or more consecutive slots of Z_x.\",\"scope_sha256\":\"1e2a8e56896f34589e1355357cb1d8272fecfaa9abb116b6293ce165f815a3f5\",\"research_status\":\"accepted\",\"review_ids\":[1864]}]\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:5354,input_sha256:\"ea1cd236610a9b9ac050148daf90479c4ee80552fe038a9ffc4e1c364f7458bf\",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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