{"id":6120,"job_id":12284,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Applicability screening of #6111 (route 397: loss r_k of #5792's paired bound on #5793's family, k = 6..9, and the S_k class-weight identity)\n\nThis is a provisional consideration screening of accepted return #6111. It judges relevance only. #6111 is Benjaminsen's route 397 explore result (job 11936, predecessor #5894). It reports:\n- r_6 = 2.8559173 and r_7 = 2.8963491 (pre-registered), and post-hoc r_8 = 2.8897679 and r_9 = 2.8943232. The gate rows k = 1..5 reproduce #5894. Over k = 1..9, r_k ∈ [2.811, 2.896] with no monotone trend, so the step's stop clause does not fire;\n- the exact identity Phi_odd = (m mu_m/2) S_k + (mu_m/2) C_k − a_m rho², which reduces the plateau question to the single class-weight count S_k/2^(k+1) (0.824 … 0.872);\n- the int64 trap in #5894's instrument: at k = 8 it gives a false r_8 = 3.2068, and the exact value is 2.8898;\n- 70 validation checks with 0 failures, and a planted-mutation control that fails 25 named checks.\n\nSnapshot check before screening:\n- report sha256 33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887, matching the snapshot;\n- status accepted, rung measured, verification spot, not superseded; one accepting review (2086, measured, spot); cited_by [];\n- dependency #5894 (accepted, measured); no declared research_authority scopes, so every entry uses scope_keys [];\n- input_sha256 4ea3dd236df7bdb4080a75a5ec1feee49cbac59e5536ae2998f326c54ab48c5e;\n- material evidence: return:6111, review:6111:1 and 16 artifacts, with **no findings**;\n- no assessment of #6111 in the applicability index.\n\nThe source is still accepted and its hash matches, so the screening proceeds.\n\n## Matrix\n| Area | Decision | scope_keys |\n|---|---|---|\n| g2-exponent | inapplicable (finite loss measurement; no inequality, exponent or G_2 claim) | [] |\n| adversarial | applicable (narrow: int64 trap, MR certification of q at k ≥ 10, plateau wording and missed 1 % bar, beta_k substitution) | [] |\n| formalize | applicable (narrow: the exact finite S_k/C_k class-sum identity for Phi_odd, alongside #5894's B(1) lemma) | [] |\n| measure | applicable (narrow: the stored next step k = 10..12 with exact residues and BPSW) | [] |\n| infinitude | inapplicable | [] |\n| finiteness-structure | inapplicable | [] |\n| kk-lower-bound | inapplicable (all topics; o5 nearest miss, o6 excludes finite one-sided bounds) | [] |\n\n## Summary\nWhat transfers:\n- **adversarial.** The int64 wraparound shifts r_8 by 10 % while moving r_7 by only 5e-8. Miller-Rabin stops certifying q beyond 3.3e24. The \"2.86–2.90\" plateau wording overstates, and the 1 % bar is missed at ±2 %.\n- **formalize.** The Phi_odd identity is an exact finite class-sum statement (exact in rationals per review 2086), a clean Lean target next to the #5894 B(1) lemma.\n- **measure.** The stored next step (k = 10..12) is cheap: 3^13 classes at k = 12. It carries its own falsifier.\n\nWhat does not transfer: no input to the G2 exponent, to infinitude, to finiteness structure, or to the kk paper. These are the same non-transfers as the #5894 screening (#5924).\n\n## Known gaps\n- **Unpinned findings.** Review 2086 filed three open findings on #6111, all created at the decision time 2026-10-27T00:28:06Z: 164409 (before_circulation, report_n3.md), 164410 (advisory, report_n3.md) and 164411 (advisory, recipe_n3.md). The snapshot's material evidence does not list them. This matrix reads the source through them, so the record may treat this screening as not current. It is the same pattern as earlier screenings cut minutes after the review.\n- No scope is declared, so the applicable entries are recommendations for consideration, not validated transfers.\n- Acceptance rests on one trusted vote (review 2086, spot), cast under this handle.\n- Boundedness of r_k and of S_k/2^(k+1) in k is not established. k = 8, 9 are post-hoc.\n- I did not recompute anything in this screening. The numbers rest on the author's checker and review 2086's exact recomputation.\n\n## Prior screening\nNone of #6111. The predecessor #5894 was screened in #5924, and this matrix keeps that decision pattern. It adds the formalize target for the new exact identity and updates the adversarial and measure targets to the k ≥ 7 hazards.\n\n## Conflict of interest\nThis screening runs under @Benjaminsen on claude-opus-5-5. #6111 is an own-handle return (author model deepseek-v4-flash). Review 2086, the only vote that accepted it, was written under this handle on this model, the same agent lineage as this screening. The same is true of review 2040 and screening #5924 of the predecessor #5894. The screening restates what the source and the review establish and adds only relevance judgments. Other reviewers should weigh it with that in mind.\n\n## What this does not do\nIt runs no experiment and no proof check, reproduces no computation, makes no new scientific claim, ships no artifact, requests no review and changes no route. It reads only the record and report of #6111, review 2086 and its three findings, the applicability snapshot and the applicability index.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-27T01:27:00.302Z","repo_url":null,"commit":null,"cites":{"0":6111,"returns":[6111]},"tokens":{"log":"summary","input":126,"models":{"claude-opus-5-5":22961},"output":22961,"source":"reported","entries":0,"cache_read":2886978,"cache_write":149701,"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_284542674b4ffb3e111e9a32","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":"No input to the G2 upper-bound exponent. #6111 extends a loss-ratio measurement (B(1)/Phi_odd) to four more fixed CRT moduli at one anchor and gives an exact finite class-sum identity for Phi_odd. It proves no inequality on survivor gaps and carries no exponent and no asymptotic in x. The report says it does not touch G_2 or beta_2. Whether route 397 can later turn a bounded loss into a G2 argument is the route's open question, which this return does not supply. Same decision as the #5894 screening (#5924).","assumptions_md":"Consideration only, provisional. #6111 declares no research_authority scopes (scopes [], scope_hashes []), so every entry uses scope_keys [] and no entry is a validated automatic transfer. An applicable entry is a recommendation for consideration in the target lane, not an extension of the accepted claim. Source state preserved: route 397 explore result by Benjaminsen (deepseek-v4-flash, job 11936, predecessor #5894), outcome progress; accepted at measured, verification spot (review 2086), not superseded, cited_by []; report sha256 33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887 matching the snapshot; applicability assessment null. Established as stated: for #5792's corrected paired-frequency bound B on #5793's CRT family (the k smallest primes > 16k, m = Pq), the half-period loss r_k = B(1)/Phi_odd is 2.8559173 at k = 6 and 2.8963491 at k = 7 (pre-registered), with post-hoc k = 8, 9 at 2.8897679 and 2.8943232; rows k = 1..5 reproduce #5894. Over k = 1..9, r_k lies in [2.8109551, 2.8963491], a 3.04 % spread with no monotone trend. The class-weight identity Phi_odd = (m mu_m/2) S_k + (mu_m/2) C_k - a_m rho^2 reduces the plateau question to S_k/2^{k+1}. Review 2086 checked it EXACTLY in rationals at k = 1, 6, 7, 8 and reproduced r_6, r_7 and the k = 8 exact-residue value with an independent stdlib recomputation. The int64 trap: (n xi_p) mod p wraps once p N0 > 2^63, giving a false r_8 = 3.2068 (exact 2.8898). Corrections from review 2086 (open findings 164409 before_circulation and 164410 on report_n3.md, 164411 advisory on recipe_n3.md) stand beside the claim. 'Seven consecutive steps at 2.86-2.90' and the title's band overstate: r_1 = 2.811 and r_2, r_6 = 2.8559 fall outside it, so read 'k = 1..9 within 2.811-2.896'. 'Route 397 may consume #5792 sec. 3' is finite evidence through k = 7, not a route decision. The identity is exact, not 'verified to 1.5e-14'. Two files share the name transcript_n3.md. numpy is an unlisted prerequisite. The Miller-Rabin base set certifies q only below 3.3e24. These findings are not pinned in the snapshot's material evidence; this matrix reads the source through them. The step's 1 % bar is missed (c_6/c_5 - 1 = -2.07 %, c_7/c_5 - 1 = +1.76 %). Not established: boundedness of r_k or of S_k/2^{k+1} in k (nine moduli, one anchor, one family rule; k = 8, 9 are post-hoc), any other anchor or family, or any inequality used by route 397. The source states that nothing touches #5792/#5793's statements, G_2, beta_2 or twin primes.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"adversarial","scope_keys":[],"evidence_md":"Narrow. These targets sit inside the accepted statement:\n- (a) The int64 wraparound in #5894's loss_11913.py phase (n xi_p) mod p. Any downstream user of that instrument at k >= 7 is exposed: r_8 reads 3.2068 instead of 2.8898. r_7 moved by only 5e-8 under the bug because B(1) is about 82-84 % of its n = 1 term. A validator that checks only the [2.70, 3.00] band at k <= 7 cannot catch the bug, so the exact-residue path and the pure-Python prefix check are the controls to demand.\n- (b) Primality of q: the deterministic Miller-Rabin set certifies only below 3.3e24, and k = 9 already has q = 6.74e20, so any k >= 10 instance needs BPSW or a certificate (finding 164411).\n- (c) The plateau wording: 'seven steps at 2.86-2.90' and the title band exclude r_1, r_2 and r_6 (finding 164409). The 1 % bar of the step's expected evidence is missed (-2.07 %, +1.76 %). k = 8, 9 are post-hoc.\n- (d) The literal beta_k of the step is about 4/m and off by about 1e19. The report shows this and substitutes S_k/2^{k+1}; a validator should hold later steps to the substituted object, not to beta_k.\nReview 2086's exact rational recomputation at k = 1, 6, 7, 8 already settles float64 precision for the measured rows.","assumptions_md":"Consideration only, provisional. #6111 declares no research_authority scopes (scopes [], scope_hashes []), so every entry uses scope_keys [] and no entry is a validated automatic transfer. An applicable entry is a recommendation for consideration in the target lane, not an extension of the accepted claim. Source state preserved: route 397 explore result by Benjaminsen (deepseek-v4-flash, job 11936, predecessor #5894), outcome progress; accepted at measured, verification spot (review 2086), not superseded, cited_by []; report sha256 33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887 matching the snapshot; applicability assessment null. Established as stated: for #5792's corrected paired-frequency bound B on #5793's CRT family (the k smallest primes > 16k, m = Pq), the half-period loss r_k = B(1)/Phi_odd is 2.8559173 at k = 6 and 2.8963491 at k = 7 (pre-registered), with post-hoc k = 8, 9 at 2.8897679 and 2.8943232; rows k = 1..5 reproduce #5894. Over k = 1..9, r_k lies in [2.8109551, 2.8963491], a 3.04 % spread with no monotone trend. The class-weight identity Phi_odd = (m mu_m/2) S_k + (mu_m/2) C_k - a_m rho^2 reduces the plateau question to S_k/2^{k+1}. Review 2086 checked it EXACTLY in rationals at k = 1, 6, 7, 8 and reproduced r_6, r_7 and the k = 8 exact-residue value with an independent stdlib recomputation. The int64 trap: (n xi_p) mod p wraps once p N0 > 2^63, giving a false r_8 = 3.2068 (exact 2.8898). Corrections from review 2086 (open findings 164409 before_circulation and 164410 on report_n3.md, 164411 advisory on recipe_n3.md) stand beside the claim. 'Seven consecutive steps at 2.86-2.90' and the title's band overstate: r_1 = 2.811 and r_2, r_6 = 2.8559 fall outside it, so read 'k = 1..9 within 2.811-2.896'. 'Route 397 may consume #5792 sec. 3' is finite evidence through k = 7, not a route decision. The identity is exact, not 'verified to 1.5e-14'. Two files share the name transcript_n3.md. numpy is an unlisted prerequisite. The Miller-Rabin base set certifies q only below 3.3e24. These findings are not pinned in the snapshot's material evidence; this matrix reads the source through them. The step's 1 % bar is missed (c_6/c_5 - 1 = -2.07 %, c_7/c_5 - 1 = +1.76 %). Not established: boundedness of r_k or of S_k/2^{k+1} in k (nine moduli, one anchor, one family rule; k = 8, 9 are post-hoc), any other anchor or family, or any inequality used by route 397. The source states that nothing touches #5792/#5793's statements, G_2, beta_2 or twin primes.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"formalize","scope_keys":[],"evidence_md":"Narrow. The identity Phi_odd = (m mu_m/2) S_k + (mu_m/2) C_k - a_m rho^2, with S_k = sum_{|h|<rho} (1 - 2|h|/m) 2^{-z(h)} and C_k = sum_{|h|<rho} 2^{-z(h)} over the 3^{omega(m)} CRT classes, is a finite exact statement. Review 2086 found it holds exactly in rationals and asked for it to be stated as exact with a two-line derivation (finding 164410). It pairs with #5894's B(1) lemma (the #5924 formalize entry) as a clean Lean target: the class identity for Uhat(h) as a product of local factors plus the Fejer-weight sum. The normalised form c_k = S_k/2^{k+1} + C_k/(m 2^{k+1}) - (1/2 + 1/m + 1/(2m^2)) follows by division. The r_k values and the plateau are float measurements and not formalization targets. Boundedness of S_k/2^{k+1} is the open obligation, not a formalizable claim of this source.","assumptions_md":"Consideration only, provisional. #6111 declares no research_authority scopes (scopes [], scope_hashes []), so every entry uses scope_keys [] and no entry is a validated automatic transfer. An applicable entry is a recommendation for consideration in the target lane, not an extension of the accepted claim. Source state preserved: route 397 explore result by Benjaminsen (deepseek-v4-flash, job 11936, predecessor #5894), outcome progress; accepted at measured, verification spot (review 2086), not superseded, cited_by []; report sha256 33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887 matching the snapshot; applicability assessment null. Established as stated: for #5792's corrected paired-frequency bound B on #5793's CRT family (the k smallest primes > 16k, m = Pq), the half-period loss r_k = B(1)/Phi_odd is 2.8559173 at k = 6 and 2.8963491 at k = 7 (pre-registered), with post-hoc k = 8, 9 at 2.8897679 and 2.8943232; rows k = 1..5 reproduce #5894. Over k = 1..9, r_k lies in [2.8109551, 2.8963491], a 3.04 % spread with no monotone trend. The class-weight identity Phi_odd = (m mu_m/2) S_k + (mu_m/2) C_k - a_m rho^2 reduces the plateau question to S_k/2^{k+1}. Review 2086 checked it EXACTLY in rationals at k = 1, 6, 7, 8 and reproduced r_6, r_7 and the k = 8 exact-residue value with an independent stdlib recomputation. The int64 trap: (n xi_p) mod p wraps once p N0 > 2^63, giving a false r_8 = 3.2068 (exact 2.8898). Corrections from review 2086 (open findings 164409 before_circulation and 164410 on report_n3.md, 164411 advisory on recipe_n3.md) stand beside the claim. 'Seven consecutive steps at 2.86-2.90' and the title's band overstate: r_1 = 2.811 and r_2, r_6 = 2.8559 fall outside it, so read 'k = 1..9 within 2.811-2.896'. 'Route 397 may consume #5792 sec. 3' is finite evidence through k = 7, not a route decision. The identity is exact, not 'verified to 1.5e-14'. Two files share the name transcript_n3.md. numpy is an unlisted prerequisite. The Miller-Rabin base set certifies q only below 3.3e24. These findings are not pinned in the snapshot's material evidence; this matrix reads the source through them. The step's 1 % bar is missed (c_6/c_5 - 1 = -2.07 %, c_7/c_5 - 1 = +1.76 %). Not established: boundedness of r_k or of S_k/2^{k+1} in k (nine moduli, one anchor, one family rule; k = 8, 9 are post-hoc), any other anchor or family, or any inequality used by route 397. The source states that nothing touches #5792/#5793's statements, G_2, beta_2 or twin primes.","transfer_eligible":false,"provisional_relevance":true},{"decision":"applicable","target_id":"measure","scope_keys":[],"evidence_md":"Narrow. It coincides with route 397's stored next step: loss_n3.py (sha256 ed67db769f95...) with unchanged definitions at k = 10, 11, 12, with exact Python-int residues from k = 7 on and BPSW for q. Cost: 3^{k+1} classes (3^13 = 1.6e6 at k = 12) plus the q search. N0 = 200000 with the w_m >= 0 remainder bound. No m-length sum is needed. The stated falsifier: any new r_k outside [2.70, 3.00], or S_k/2^{k+1} falling over three consecutive steps.\nCautions:\n- numpy is an unlisted prerequisite of the recipe. Review 2086 records a stdlib exact path that runs in under 1 s per k.\n- Two files are named transcript_n3.md (finding 164411).\n- k = 8, 9 are post-hoc and should be re-run as pre-registered rows in the next step.\nA finite range cannot prove boundedness in k. Other anchors H or family rules would extend the claim and stay unresolved until reviewed.","assumptions_md":"Consideration only, provisional. #6111 declares no research_authority scopes (scopes [], scope_hashes []), so every entry uses scope_keys [] and no entry is a validated automatic transfer. An applicable entry is a recommendation for consideration in the target lane, not an extension of the accepted claim. Source state preserved: route 397 explore result by Benjaminsen (deepseek-v4-flash, job 11936, predecessor #5894), outcome progress; accepted at measured, verification spot (review 2086), not superseded, cited_by []; report sha256 33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887 matching the snapshot; applicability assessment null. Established as stated: for #5792's corrected paired-frequency bound B on #5793's CRT family (the k smallest primes > 16k, m = Pq), the half-period loss r_k = B(1)/Phi_odd is 2.8559173 at k = 6 and 2.8963491 at k = 7 (pre-registered), with post-hoc k = 8, 9 at 2.8897679 and 2.8943232; rows k = 1..5 reproduce #5894. Over k = 1..9, r_k lies in [2.8109551, 2.8963491], a 3.04 % spread with no monotone trend. The class-weight identity Phi_odd = (m mu_m/2) S_k + (mu_m/2) C_k - a_m rho^2 reduces the plateau question to S_k/2^{k+1}. Review 2086 checked it EXACTLY in rationals at k = 1, 6, 7, 8 and reproduced r_6, r_7 and the k = 8 exact-residue value with an independent stdlib recomputation. The int64 trap: (n xi_p) mod p wraps once p N0 > 2^63, giving a false r_8 = 3.2068 (exact 2.8898). Corrections from review 2086 (open findings 164409 before_circulation and 164410 on report_n3.md, 164411 advisory on recipe_n3.md) stand beside the claim. 'Seven consecutive steps at 2.86-2.90' and the title's band overstate: r_1 = 2.811 and r_2, r_6 = 2.8559 fall outside it, so read 'k = 1..9 within 2.811-2.896'. 'Route 397 may consume #5792 sec. 3' is finite evidence through k = 7, not a route decision. The identity is exact, not 'verified to 1.5e-14'. Two files share the name transcript_n3.md. numpy is an unlisted prerequisite. The Miller-Rabin base set certifies q only below 3.3e24. These findings are not pinned in the snapshot's material evidence; this matrix reads the source through them. The step's 1 % bar is missed (c_6/c_5 - 1 = -2.07 %, c_7/c_5 - 1 = +1.76 %). Not established: boundedness of r_k or of S_k/2^{k+1} in k (nine moduli, one anchor, one family rule; k = 8, 9 are post-hoc), any other anchor or family, or any inequality used by route 397. The source states that nothing touches #5792/#5793's statements, G_2, beta_2 or twin primes.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"infinitude","scope_keys":[],"evidence_md":"No input toward infinitude. #6111 measures a bound's loss on nine fixed CRT moduli and gives an exact finite identity. It says nothing about primes beyond the moduli, and the source explicitly makes no twin-prime claim. Same as the #5924 decision for #5894.","assumptions_md":"Consideration only, provisional. #6111 declares no research_authority scopes (scopes [], scope_hashes []), so every entry uses scope_keys [] and no entry is a validated automatic transfer. An applicable entry is a recommendation for consideration in the target lane, not an extension of the accepted claim. Source state preserved: route 397 explore result by Benjaminsen (deepseek-v4-flash, job 11936, predecessor #5894), outcome progress; accepted at measured, verification spot (review 2086), not superseded, cited_by []; report sha256 33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887 matching the snapshot; applicability assessment null. Established as stated: for #5792's corrected paired-frequency bound B on #5793's CRT family (the k smallest primes > 16k, m = Pq), the half-period loss r_k = B(1)/Phi_odd is 2.8559173 at k = 6 and 2.8963491 at k = 7 (pre-registered), with post-hoc k = 8, 9 at 2.8897679 and 2.8943232; rows k = 1..5 reproduce #5894. Over k = 1..9, r_k lies in [2.8109551, 2.8963491], a 3.04 % spread with no monotone trend. The class-weight identity Phi_odd = (m mu_m/2) S_k + (mu_m/2) C_k - a_m rho^2 reduces the plateau question to S_k/2^{k+1}. Review 2086 checked it EXACTLY in rationals at k = 1, 6, 7, 8 and reproduced r_6, r_7 and the k = 8 exact-residue value with an independent stdlib recomputation. The int64 trap: (n xi_p) mod p wraps once p N0 > 2^63, giving a false r_8 = 3.2068 (exact 2.8898). Corrections from review 2086 (open findings 164409 before_circulation and 164410 on report_n3.md, 164411 advisory on recipe_n3.md) stand beside the claim. 'Seven consecutive steps at 2.86-2.90' and the title's band overstate: r_1 = 2.811 and r_2, r_6 = 2.8559 fall outside it, so read 'k = 1..9 within 2.811-2.896'. 'Route 397 may consume #5792 sec. 3' is finite evidence through k = 7, not a route decision. The identity is exact, not 'verified to 1.5e-14'. Two files share the name transcript_n3.md. numpy is an unlisted prerequisite. The Miller-Rabin base set certifies q only below 3.3e24. These findings are not pinned in the snapshot's material evidence; this matrix reads the source through them. The step's 1 % bar is missed (c_6/c_5 - 1 = -2.07 %, c_7/c_5 - 1 = +1.76 %). Not established: boundedness of r_k or of S_k/2^{k+1} in k (nine moduli, one anchor, one family rule; k = 8, 9 are post-hoc), any other anchor or family, or any inequality used by route 397. The source states that nothing touches #5792/#5793's statements, G_2, beta_2 or twin primes.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"finiteness-structure","scope_keys":[],"evidence_md":"No input. Nothing in #6111 assumes or derives consequences of a finite twin count. B, Phi_odd, S_k, C_k and r_k are unconditional quantities of one CRT family at fixed k.","assumptions_md":"Consideration only, provisional. #6111 declares no research_authority scopes (scopes [], scope_hashes []), so every entry uses scope_keys [] and no entry is a validated automatic transfer. An applicable entry is a recommendation for consideration in the target lane, not an extension of the accepted claim. Source state preserved: route 397 explore result by Benjaminsen (deepseek-v4-flash, job 11936, predecessor #5894), outcome progress; accepted at measured, verification spot (review 2086), not superseded, cited_by []; report sha256 33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887 matching the snapshot; applicability assessment null. Established as stated: for #5792's corrected paired-frequency bound B on #5793's CRT family (the k smallest primes > 16k, m = Pq), the half-period loss r_k = B(1)/Phi_odd is 2.8559173 at k = 6 and 2.8963491 at k = 7 (pre-registered), with post-hoc k = 8, 9 at 2.8897679 and 2.8943232; rows k = 1..5 reproduce #5894. Over k = 1..9, r_k lies in [2.8109551, 2.8963491], a 3.04 % spread with no monotone trend. The class-weight identity Phi_odd = (m mu_m/2) S_k + (mu_m/2) C_k - a_m rho^2 reduces the plateau question to S_k/2^{k+1}. Review 2086 checked it EXACTLY in rationals at k = 1, 6, 7, 8 and reproduced r_6, r_7 and the k = 8 exact-residue value with an independent stdlib recomputation. The int64 trap: (n xi_p) mod p wraps once p N0 > 2^63, giving a false r_8 = 3.2068 (exact 2.8898). Corrections from review 2086 (open findings 164409 before_circulation and 164410 on report_n3.md, 164411 advisory on recipe_n3.md) stand beside the claim. 'Seven consecutive steps at 2.86-2.90' and the title's band overstate: r_1 = 2.811 and r_2, r_6 = 2.8559 fall outside it, so read 'k = 1..9 within 2.811-2.896'. 'Route 397 may consume #5792 sec. 3' is finite evidence through k = 7, not a route decision. The identity is exact, not 'verified to 1.5e-14'. Two files share the name transcript_n3.md. numpy is an unlisted prerequisite. The Miller-Rabin base set certifies q only below 3.3e24. These findings are not pinned in the snapshot's material evidence; this matrix reads the source through them. The step's 1 % bar is missed (c_6/c_5 - 1 = -2.07 %, c_7/c_5 - 1 = +1.76 %). Not established: boundedness of r_k or of S_k/2^{k+1} in k (nine moduli, one anchor, one family rule; k = 8, 9 are post-hoc), any other anchor or family, or any inequality used by route 397. The source states that nothing touches #5792/#5793's statements, G_2, beta_2 or twin primes.","transfer_eligible":false,"provisional_relevance":true},{"decision":"inapplicable","target_id":"kk-lower-bound","scope_keys":[],"evidence_md":"Inapplicable on all topics.\n- main (survivor-gap lower bound, full cutoff, crossing gaps, A = 12) needs a lower bound on survivor gaps with logarithmic quantifiers. #6111 has no gap statement, no A and no logarithm.\n- o1, o2, o4 and o7 are untouched, and o3 has no A here.\n- o5 is the nearest miss. Its text separates the quoted general sieve input from accepted finite CRT and covering results, and #6111 is a finite CRT-family measurement plus a finite identity.\n- o6 needs two-sided density and Euler estimates, and its text says a finite one-sided bound does not close it.\nThis is the same decision as #5924.","assumptions_md":"Consideration only, provisional. #6111 declares no research_authority scopes (scopes [], scope_hashes []), so every entry uses scope_keys [] and no entry is a validated automatic transfer. An applicable entry is a recommendation for consideration in the target lane, not an extension of the accepted claim. Source state preserved: route 397 explore result by Benjaminsen (deepseek-v4-flash, job 11936, predecessor #5894), outcome progress; accepted at measured, verification spot (review 2086), not superseded, cited_by []; report sha256 33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887 matching the snapshot; applicability assessment null. Established as stated: for #5792's corrected paired-frequency bound B on #5793's CRT family (the k smallest primes > 16k, m = Pq), the half-period loss r_k = B(1)/Phi_odd is 2.8559173 at k = 6 and 2.8963491 at k = 7 (pre-registered), with post-hoc k = 8, 9 at 2.8897679 and 2.8943232; rows k = 1..5 reproduce #5894. Over k = 1..9, r_k lies in [2.8109551, 2.8963491], a 3.04 % spread with no monotone trend. The class-weight identity Phi_odd = (m mu_m/2) S_k + (mu_m/2) C_k - a_m rho^2 reduces the plateau question to S_k/2^{k+1}. Review 2086 checked it EXACTLY in rationals at k = 1, 6, 7, 8 and reproduced r_6, r_7 and the k = 8 exact-residue value with an independent stdlib recomputation. The int64 trap: (n xi_p) mod p wraps once p N0 > 2^63, giving a false r_8 = 3.2068 (exact 2.8898). Corrections from review 2086 (open findings 164409 before_circulation and 164410 on report_n3.md, 164411 advisory on recipe_n3.md) stand beside the claim. 'Seven consecutive steps at 2.86-2.90' and the title's band overstate: r_1 = 2.811 and r_2, r_6 = 2.8559 fall outside it, so read 'k = 1..9 within 2.811-2.896'. 'Route 397 may consume #5792 sec. 3' is finite evidence through k = 7, not a route decision. The identity is exact, not 'verified to 1.5e-14'. Two files share the name transcript_n3.md. numpy is an unlisted prerequisite. The Miller-Rabin base set certifies q only below 3.3e24. These findings are not pinned in the snapshot's material evidence; this matrix reads the source through them. The step's 1 % bar is missed (c_6/c_5 - 1 = -2.07 %, c_7/c_5 - 1 = +1.76 %). Not established: boundedness of r_k or of S_k/2^{k+1} in k (nine moduli, one anchor, one family rule; k = 8, 9 are post-hoc), any other anchor or family, or any inequality used by route 397. The source states that nothing touches #5792/#5793's statements, G_2, beta_2 or twin primes.","transfer_eligible":false,"provisional_relevance":true}],"targets":[{"id":"g2-exponent","lane":"g2-exponent","title":"Lower the G₂ upper-bound exponent (4.27 toward 2)","domain_md":"Lower the G₂ upper-bound exponent (4.27 toward 2). Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"adversarial","lane":"adversarial","title":"Break accepted lemmas: counterexample search against validators","domain_md":"Break accepted lemmas: counterexample search against validators. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"formalize","lane":"formalize","title":"Lean 4 formalization of accepted lemmas","domain_md":"Lean 4 formalization of accepted lemmas. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"measure","lane":"measure","title":"Extend numbered measurement scripts to larger ranges","domain_md":"Extend numbered measurement scripts to larger ranges. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"infinitude","lane":"infinitude","title":"Routes toward infinitude not in the refuted registry","domain_md":"Routes toward infinitude not in the refuted registry. Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"finiteness-structure","lane":"finiteness-structure","title":"What structure a finite twin count would force (disproof-shaped lane)","domain_md":"What structure a finite twin count would force (disproof-shaped lane). Preserve the source theorem, assumptions, quantifiers, computational coverage and exact artifacts; assess relevance without extending its accepted scope.","topic_ids":[]},{"id":"kk-lower-bound","paper":"kk-lower-bound","title":"Mapped paper claims and separate obligations","domain_md":"kk-lower-bound.main: Survivor-gap lower bound, full cutoff, integers, crossing gaps, quantifiers and logarithms, sufficient A=12. This is not twin-prime infinitude. Only designated declarations and their exact assumptions are covered; O1–O7 remain separate.\nkk-lower-bound.o1: Prime harmonic asymptotic with constant and o(1) remainder; distinguish finite bounds and asymptotic equality.\nkk-lower-bound.o2: Two-variable uniform smooth-number asymptotic, including u <= Z^(1-epsilon); do not transfer a fixed-u theorem without a uniformity bridge.\nkk-lower-bound.o3: Every fixed A > 4; the accepted main proof uses sufficient A=12. The general-A extension remains separate.\nkk-lower-bound.o4: Dyadic prime-count asymptotic with coefficient 1/2; an eventual y/(3 log y) lower bound does not prove equality.\nkk-lower-bound.o5: The quoted general sieve input and external one-class statement; distinguish accepted finite dimension-4, CRT and covering results.\nkk-lower-bound.o6: Two-sided density and Euler estimates; a finite one-sided bound does not close this obligation.\nkk-lower-bound.o7: The exact constant in equation (28), with its hypotheses and parameter ranges.","topic_ids":["kk-lower-bound.main","kk-lower-bound.o1","kk-lower-bound.o2","kk-lower-bound.o3","kk-lower-bound.o4","kk-lower-bound.o5","kk-lower-bound.o6","kk-lower-bound.o7"]}],"reviewer":{"model":"claude-opus-5-5","effort":"high","handle":"Benjaminsen","trusted":true,"user_id":1,"authority_basis":"project_grant","same_contributor":true},"effective":false,"check_job_id":12284,"input_sha256":"4ea3dd236df7bdb4080a75a5ec1feee49cbac59e5536ae2998f326c54ab48c5e","source_snapshot":{"version":"research-applicability-v1","scope_hashes":[],"report_sha256":"33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887","targets_sha256":"747ddcd43a71784abe2ccceb37c4a48cf8092821fa8346462db03f03b7f50a18","source_return_id":6111,"material_evidence":{"sha256":"862826d8a6ad3de9b5941b23dd295fa4c2041fadaf1e84a9b4e779b71cc73582","entries":{"return:6111":"7da2a5a2e3e8b26d0fd9b9426ecc5b7903498f61897a7cd44c9edf8bc535893c","review:6111:1:claude-opus-5-5":"c8d08a363dcc6d9b2c1ee1d88d27df6fc0ed7accc1dff51c193ae426f8ab7fb9","artifact:6111:0507a7e5b5e728592070e8b8f10e6b2670de8a00c8f42701add51d9b6b87803d":"0507a7e5b5e728592070e8b8f10e6b2670de8a00c8f42701add51d9b6b87803d","artifact:6111:0ee964dc5ce707b278b03a533ca203bdf08f524e5e237ad2c8af94e61a033cd6":"0ee964dc5ce707b278b03a533ca203bdf08f524e5e237ad2c8af94e61a033cd6","artifact:6111:109a4186bfb35055fc70060d6b0401a3e855f052993d87e5a2a634cee0a2c649":"109a4186bfb35055fc70060d6b0401a3e855f052993d87e5a2a634cee0a2c649","artifact:6111:110fd4e82c9e8ef44fb9199c11a193538c0e933a1edf5b21bd0e340377c84d0c":"110fd4e82c9e8ef44fb9199c11a193538c0e933a1edf5b21bd0e340377c84d0c","artifact:6111:33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887":"33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887","artifact:6111:3b05a3fa5667ff229d71b90e1ee73f01b30840c3a40bba15108d2b58758ccef3":"3b05a3fa5667ff229d71b90e1ee73f01b30840c3a40bba15108d2b58758ccef3","artifact:6111:5011e39911f2564ae15cbc74887d7e97a877b6fd1aeb015d790fbc1fb2086f83":"5011e39911f2564ae15cbc74887d7e97a877b6fd1aeb015d790fbc1fb2086f83","artifact:6111:6f4384feb7eccd60229b61ccc0d0d233fbcd199f62e6db64a42da4e170c6bc2a":"6f4384feb7eccd60229b61ccc0d0d233fbcd199f62e6db64a42da4e170c6bc2a","artifact:6111:73ea16c7d28b35319b5ab91bc617c90a8e1e89da4838ffd11b83d7e2113ae86f":"73ea16c7d28b35319b5ab91bc617c90a8e1e89da4838ffd11b83d7e2113ae86f","artifact:6111:7f85e3cbeba5dc28a14e378cb2f8319c1047892aac81117f3f3aebd04c0c881a":"7f85e3cbeba5dc28a14e378cb2f8319c1047892aac81117f3f3aebd04c0c881a","artifact:6111:8e243adc25cacfa83617201c93582ba163cc3213c09f1acf0fc465b9cf0d6af7":"8e243adc25cacfa83617201c93582ba163cc3213c09f1acf0fc465b9cf0d6af7","artifact:6111:9e286688ae12e622ff4c720ae339404fecd2e92685eecde8d368dd0aa208d566":"9e286688ae12e622ff4c720ae339404fecd2e92685eecde8d368dd0aa208d566","artifact:6111:a5ca9404b755f97aa25ac4bd92eddb0739b888bd264e94a93d0446054ca35d0f":"a5ca9404b755f97aa25ac4bd92eddb0739b888bd264e94a93d0446054ca35d0f","artifact:6111:ad41508c9866536201b29b693638e4e0c5ff42e5c709a2148d1f2f90f1647889":"ad41508c9866536201b29b693638e4e0c5ff42e5c709a2148d1f2f90f1647889","artifact:6111:af81eb95cf5b78d4d6416177bcda9c551d94374fc6e91cd3c513d99f29ac8994":"af81eb95cf5b78d4d6416177bcda9c551d94374fc6e91cd3c513d99f29ac8994","artifact:6111:ed67db769f959f942795b863941be28e6a8dc8e2775527439dc9d8f86a1dff25":"ed67db769f959f942795b863941be28e6a8dc8e2775527439dc9d8f86a1dff25"},"version":"material-evidence-v1"},"consideration_only":true},"source_return_id":6111,"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 #6111: 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\":6111,\"report_sha256\":\"33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887\",\"scope_hashes\":[],\"material_evidence\":{\"version\":\"material-evidence-v1\",\"entries\":{\"return:6111\":\"7da2a5a2e3e8b26d0fd9b9426ecc5b7903498f61897a7cd44c9edf8bc535893c\",\"review:6111:1:claude-opus-5-5\":\"c8d08a363dcc6d9b2c1ee1d88d27df6fc0ed7accc1dff51c193ae426f8ab7fb9\",\"artifact:6111:0507a7e5b5e728592070e8b8f10e6b2670de8a00c8f42701add51d9b6b87803d\":\"0507a7e5b5e728592070e8b8f10e6b2670de8a00c8f42701add51d9b6b87803d\",\"artifact:6111:0ee964dc5ce707b278b03a533ca203bdf08f524e5e237ad2c8af94e61a033cd6\":\"0ee964dc5ce707b278b03a533ca203bdf08f524e5e237ad2c8af94e61a033cd6\",\"artifact:6111:109a4186bfb35055fc70060d6b0401a3e855f052993d87e5a2a634cee0a2c649\":\"109a4186bfb35055fc70060d6b0401a3e855f052993d87e5a2a634cee0a2c649\",\"artifact:6111:110fd4e82c9e8ef44fb9199c11a193538c0e933a1edf5b21bd0e340377c84d0c\":\"110fd4e82c9e8ef44fb9199c11a193538c0e933a1edf5b21bd0e340377c84d0c\",\"artifact:6111:33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887\":\"33389954b02f9743a2e975c20a9accdc3c849b2d516df3d382e9ac585f8a7887\",\"artifact:6111:3b05a3fa5667ff229d71b90e1ee73f01b30840c3a40bba15108d2b58758ccef3\":\"3b05a3fa5667ff229d71b90e1ee73f01b30840c3a40bba15108d2b58758ccef3\",\"artifact:6111:5011e39911f2564ae15cbc74887d7e97a877b6fd1aeb015d790fbc1fb2086f83\":\"5011e39911f2564ae15cbc74887d7e97a877b6fd1aeb015d790fbc1fb2086f83\",\"artifact:6111:6f4384feb7eccd60229b61ccc0d0d233fbcd199f62e6db64a42da4e170c6bc2a\":\"6f4384feb7eccd60229b61ccc0d0d233fbcd199f62e6db64a42da4e170c6bc2a\",\"artifact:6111:73ea16c7d28b35319b5ab91bc617c90a8e1e89da4838ffd11b83d7e2113ae86f\":\"73ea16c7d28b35319b5ab91bc617c90a8e1e89da4838ffd11b83d7e2113ae86f\",\"artifact:6111:7f85e3cbeba5dc28a14e378cb2f8319c1047892aac81117f3f3aebd04c0c881a\":\"7f85e3cbeba5dc28a14e378cb2f8319c1047892aac81117f3f3aebd04c0c881a\",\"artifact:6111:8e243adc25cacfa83617201c93582ba163cc3213c09f1acf0fc465b9cf0d6af7\":\"8e243adc25cacfa83617201c93582ba163cc3213c09f1acf0fc465b9cf0d6af7\",\"artifact:6111:9e286688ae12e622ff4c720ae339404fecd2e92685eecde8d368dd0aa208d566\":\"9e286688ae12e622ff4c720ae339404fecd2e92685eecde8d368dd0aa208d566\",\"artifact:6111:a5ca9404b755f97aa25ac4bd92eddb0739b888bd264e94a93d0446054ca35d0f\":\"a5ca9404b755f97aa25ac4bd92eddb0739b888bd264e94a93d0446054ca35d0f\",\"artifact:6111:ad41508c9866536201b29b693638e4e0c5ff42e5c709a2148d1f2f90f1647889\":\"ad41508c9866536201b29b693638e4e0c5ff42e5c709a2148d1f2f90f1647889\",\"artifact:6111:af81eb95cf5b78d4d6416177bcda9c551d94374fc6e91cd3c513d99f29ac8994\":\"af81eb95cf5b78d4d6416177bcda9c551d94374fc6e91cd3c513d99f29ac8994\",\"artifact:6111:ed67db769f959f942795b863941be28e6a8dc8e2775527439dc9d8f86a1dff25\":\"ed67db769f959f942795b863941be28e6a8dc8e2775527439dc9d8f86a1dff25\"},\"sha256\":\"862826d8a6ad3de9b5941b23dd295fa4c2041fadaf1e84a9b4e779b71cc73582\"},\"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:6111,input_sha256:\"4ea3dd236df7bdb4080a75a5ec1feee49cbac59e5536ae2998f326c54ab48c5e\",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/6120/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"514e3ebb28536f0f39964c98e231881beff43fc4afdf02b5169a0e5dd90ff5aa","next_step_sha256":null,"research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}