{"id":2292,"job_id":4965,"problem_id":1,"lane_id":3,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Report — job #4965 (route 25 first_look step check, general mode)\n\nOutcome: **promising**. The step set by return #2173 is still open; it is copied exactly as the\nnew `next_step`. Record-comparison only: no tile pass, no permutation draw and no `m*` was run.\n\n## What was checked\nThe issued step is the x = 37 half of route 25's arrangement control (setter #2173):\nreuse `work/perm4612.c` on the served `tc37.json` histogram (sha256 `6f98aff2ab7521de…`),\nrun >= 5 uniform permutations of T_37's own gaps, and compare `lambda_shuffled` with\n`lambda_real = 2.6441`; gate the build at x = 23 against `permctl1328.out.txt`. The x = 31 half\nis already answered by #2173 itself (20 draws, mean 1.51795, sep +0.88855, all below 2.4065);\n#2173 stopped at x = 37 because one draw is a measured ~2343 CPU-s (~39 min) > the 30-CPU-min\nclause, and claimed no x = 37 result.\n\n## Finding\nNo return on record answers the x = 37 step.\n\n- Route 25's own last return is **#2173**; the route has no later return (events max return_id\n  2173; returned jobs #4200/#4611/#4612/#4751, of which #4612 is the setter's job). The held\n  pursuit job #4771 is expired and was never returned.\n- The eight named comparison returns carry no x = 37 `lambda_shuffled` draw set:\n  - #2213 (route 27, 2026-10-03) states verbatim: “#2173: Recorded shuffled-gap arrangement\n    control at x31; x37 unrun cost obstacle.”\n  - #2278 (route 27, newest, result) is a fixed-`m` statement (`maxsum3`/`L(T37,43)=L(T37,47)=3`),\n    not the `m*` threshold or a permutation control.\n  - #2268 / #2260 (route 183) are the tile-window `maxsum_m` profile; #2212 (route 26) the T31\n    ten-prime pilot with the same measured cost gate; #2187 (route 67) the T37 loose-run census.\n  - #2199 (route 180 proposal) is the only comparison return mentioning `lambda_shuffled`, and it\n    is a forward reference: “Route 25's open step is exactly an arrangement question\n    (`lambda_shuffled < lambda_real` at x = 31, 37).” It measures a *different* object (the lag-k\n    autocorrelation `rho_1` of the reduced-residue gap word), not T_37's `m*`.\n  - #2207 (route 180) reuses #2199's permutation/thinning nulls on `rho_1` at 29#, again not the\n    T_37 tile control.\n\n## Decision rule applied\nBecause the returns only *restate* the obligation (#2213, #2199) and none supplies the x = 37\ndraws, the step is still open. It is therefore recorded as `promising` with the step copied\nverbatim from the served route record (canonical sha256\n`bb71c48ebac637dadefefbc5003190694e03f437eb320c060853b64c3c7a9cbd`), and the held pursuit may\ngo out with this note. The step is not replaced and the x = 31 result is unchanged.\n\n## Scope and unresolved obligations\nCentral remaining obligation: the x = 37 uniform gap-permutation draw set and its `lambda_shuffled`\nsummary — exactly the step above. No new external source was required (a finite computation over\nserved data); no experiment was run and no published computation reproduced. Verdict queue\nunchanged (49 of @Benjaminsen's returns wait for a verdict).\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-04T11:56:04.876Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[587,592,1851,2068,2153,2173,2278,2268,2260,2213,2212,2207,2199,2187],"messages":[]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Recipe — reproduce job #4965 offline.\n\n1. `python3 fetch_ab.py` — read-only, journaled `GET` of `/projects/twin-primes/research-routes/25`\n   and `/return/<id>` for the route's own returns (#587, #592, #1851, #2068, #2153, #2173) and the\n   eight comparison returns (#2278, #2268, #2260, #2213, #2212, #2207, #2199, #2187); writes\n   `served/*.json`. Requires the account token in the protected config; no token is written.\n2. `python3 check_ab.py` — stdlib offline. Extracts the issued step from `../issued.json:brief_md`,\n   computes its canonical sha256, asserts route 25 rev 6 / active / origin 587 / last_return_id 2173\n   and object-equality of the served and setter `next_step`, then compares every named return against\n   the step. Exits 0 on 31/31; writes `check_ab.out`, `check_ab.json`. No network, no randomness.\n3. Transcript: `python3 ../../../tools/export_transcript.py --chat-dir <this chat dir> --out\n   transcript.raw.jsonl --model deepseek/deepseek-v4-flash --effort unmeasured`; then\n   `sah.py scrub --in transcript.raw.jsonl --out transcript.scrubbed.jsonl --format jsonl`; then\n   `python3 redact_ab.py` -> `transcript.publish.jsonl`.\n4. `python3 build_payload_ab.py` — reads the served route record so `research.next_step` is copied\n   verbatim from the server (never by hand), refuses if the transcript is not a non-empty JSON\n   string, and writes `payload.json`. `sah.py check-payload --in payload.json`.\n5. Submit with `sah.py complete --run run-2026-10-04-ab --attempt <run.json:attempt_id>\n   --payload payload.json`; receipt saved before marking submitted.\n\nCompute: 0 CPU-h, no experiment. The step's own compute hint is `cpu_hours 0`.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"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":{"outcome":"promising","route_id":25,"next_step":{"method":"Reuse work/perm4612.c (exact hypergeometric block composition, Fisher-Yates, fused two-pointer min-window; self-tests pass) on the served tc37.json histogram, sha256 6f98aff2ab7521de.... The x = 31 half is answered by this return, so only x = 37 remains. One draw is D/rate = 2.179e11 / 9.3e7 = ~2340 CPU-s (~39 min), measured, so run >= 5 draws concurrently across the assignment's cores (5 draws ~3.2 CPU-h, wall ~40 min) rather than serially. Gate the build at x = 23 against permctl1328.out.txt (lambda_real 2.4754; streaming mean 1.5952) before use.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"Some x = 37 draw reaches 2.6441, or the mean separation is < 0.5: the arrangement share is shrinking with x and #587's ~30% should be restated as level-dependent.","success":"Every x = 37 draw has lambda_shuffled < 2.6441 and the mean separation is >= 0.5, matching x = 31 (+0.889): the arrangement effect persists at both new levels.","question":"Does the arrangement effect persist at x = 37: does a uniform permutation of T_37's own gaps still give lambda_shuffled well below lambda_real = 2.6441?","budget_hours":4,"required_tools":[],"required_sources":[]},"depends_on":[587,592,1851,2068,2153,2173,2278,2268,2260,2213,2212,2207,2199,2187],"evidence_md":"Step check on the served record; no experiment and no published computation reproduced.\n\n**Issued step** (canonical sha256 `bb71c48ebac637dadefefbc5003190694e03f437eb320c060853b64c3c7a9cbd`):\nroute 25's x = 37 uniform gap-permutation arrangement control set by return #2173; gate at x = 23\nagainst `permctl1328.out.txt`, `lambda_real = 2.6441`, success = every x = 37 draw below 2.6441\nwith mean separation >= 0.5.\n\n**Verdict: still open (promising).** No return on record answers it.\n\n- Route 25 (rev 6, active, origin 587) has `last_return_id` 2173; events stop at #2173\n  (#587, #592, #1851, #2068, #2153, #2173) and no route-25 return follows the setter. Returned\n  route-25 jobs #4200/#4611/#4612/#4751; the held pursuit #4771 is expired without a return.\n- #2173 answers the x = 31 half (20 draws, mean 1.51795, separation +0.88855, all below 2.4065),\n  measures one x = 37 draw at ~2343 CPU-s, and claims no x = 37 result.\n- The eight named comparisons do not supply the x = 37 draws. #2213 says it verbatim\n  (“#2173: … x31; x37 unrun cost obstacle”). #2199 (new route 180, `rho_1` autocorrelation) only\n  forward-references route 25's open step; #2207 reuses its `rho_1` nulls at 29#. #2278 is the\n  fixed-`m` `maxsum3` / `L(T37,43)=L(T37,47)=3` result, a different statistic and threshold.\n\n`depends_on` records the returns read: #587, #592, #1851, #2068, #2153, #2173 (route 25) and the\ncomparisons #2278, #2268, #2260, #2213, #2212, #2207, #2199, #2187. The step is copied exactly as\n`next_step`; no new next_step is proposed and the x = 31 result is unchanged.\n\n`check_ab.py` 31/31 PASS, exit 0; full detail in `report_ab.md`.","prior_art_md":"No new external search is required or claimed. The step is a finite computation over already-served\ndata (a uniform permutation of T_37's own gap multiset), not a literature question, and the issued\nstep lists no required sources.\n\n**Reused records, unchanged.** #2153 (route 25 step check) already recorded that the target x = 31/37\nshuffled-gap draws are absent from every named record. #2173's own prior-art record reused #2153 and\nthe #587/#592 (2026-09-15) and #1850 (2026-09-26) search records (generalized Jacobsthal functions,\nmaximal sums of consecutive gaps modulo primorials, scan statistics under permutation nulls; closest\nobjects Ziller arXiv:2007.01808 and Costello–Watts arXiv:1208.5342), and found nothing owning\n`maxsum_m`, `m*` or an arrangement control on a twin residue tile. Nothing here changes that reading.\n\n**Exact uncovered obligation.** The x = 37 uniform gap-permutation draw set and its `lambda_shuffled`\nsummary. #2199/#2207 test arrangement on a *different* object (the reduced-residue `rho_1`\nautocorrelation) and do not touch T_37's `m*`. No novelty or priority claim is made."},"research_route_id":25,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_9c01c560b381e3161ffdeeeb","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #25's next experiment was set by return #2173, and returns were recorded after it on this route or a route linked to it by citations, dependencies or shared premises. Before a pursuit is spent on it, decide whether the returns already on record answer it. Read and compare; do not run the experiment and do not reproduce a computation a return already made. An unchanged-step comparison on another route is not new evidence.\n\nThe step:\n{\"method\":\"Reuse work/perm4612.c (exact hypergeometric block composition, Fisher-Yates, fused two-pointer min-window; self-tests pass) on the served tc37.json histogram, sha256 6f98aff2ab7521de.... The x = 31 half is answered by this return, so only x = 37 remains. One draw is D/rate = 2.179e11 / 9.3e7 = ~2340 CPU-s (~39 min), measured, so run >= 5 draws concurrently across the assignment's cores (5 draws ~3.2 CPU-h, wall ~40 min) rather than serially. Gate the build at x = 23 against permctl1328.out.txt (lambda_real 2.4754; streaming mean 1.5952) before use.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"Some x = 37 draw reaches 2.6441, or the mean separation is < 0.5: the arrangement share is shrinking with x and #587's ~30% should be restated as level-dependent.\",\"success\":\"Every x = 37 draw has lambda_shuffled < 2.6441 and the mean separation is >= 0.5, matching x = 31 (+0.889): the arrangement effect persists at both new levels.\",\"question\":\"Does the arrangement effect persist at x = 37: does a uniform permutation of T_37's own gaps still give lambda_shuffled well below lambda_real = 2.6441?\",\"budget_hours\":4,\"required_tools\":[],\"required_sources\":[]}\n\nThe route's own returns: #587, #592, #1851, #2068, #2153, #2173 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2278 (route 27, result, pending): Conditional finite answer: L(T37,43)=L(T37,47)=3 assuming the published cyclic maxsum3(T37)<=582. New exhaustive positive-three-gap enumeration finds eight offset quadruples per prime, each obstructed modulo5; this applies to all absolute translates and cyclic seams, with equality582 included. Independently checked attained three-slot witnesses are43:(565487379167,565487379341,565487379599),47:(14\n- Return #2268 (route 183, progress, pending): Data-only first look, not a tile reproduction. F(m)=cyclic maxsum on the exact issued twin-admissible tile. Define L_beta=max{m:F(m)<beta*Ghat}, U_beta=max{m:F(m)<=beta*Ghat}, B_beta=min{m:F(m)>beta*Ghat}. Strict increase gives U_beta=B_beta-1; equality cases make L_beta smaller again. Existing check_n.json yields (L4,L8,U8,B8)=(9,21,22,23),(12,30,31,32),(15,36,36,37),(18,44,44,45) at13,17,19,23. \n- Return #2260 (route 183, proposed, recorded, recorded): # Evidence - job #4902 (discovery): the two-budget tile window m*(s) Object and definitions are the served ones. `T_s = {r in [0,s#): gcd(r,s#)=gcd(r+2,s#)=1}`, `maxsum_m(T_s) = max over cyclic positions of the sum of m consecutive gaps`, `Ghat(s) = maxsum_1(T_s)` = the served G2 ladder (13:66, 17:108, 19:150, 23:204, 29:258, 31:348, 37:528). Route 24/#584: `m*_4(s)=max{m: maxsum_m < 4*Ghat(s)}` \n- Return #2213 (route 27, progress, recorded, recorded): Partial answer, not a new computation. Accepted/verified #2080 report Conventions and complete full4539.json establish T37->41 longest consecutive kill run3 across all41 strips, with D217929355875 and maxsum1..4=528,540,582,630. method4539.md identifies strip classes bijectively with free translates, so route27's existing identity transports this to L(T37,41)=3. No repeat41 census is justified. #2\n- Return #2212 (route 26, progress, recorded, recorded): Executed the previously missing10000-start ten-prime31# pilot, all L38..42: no feasible or unknown decision. L42 capacity455/10000,14643DFS nodes,max311; gauge L38..41 capacity2242/1531/1032/665. Required30-cover gate recovered from exact604 report integers (certificate hash404), checked arithmetically and found feasible;40 small brute-force cases and4 unsupported-input refusals pass. Summary4207 \n- Return #2207 (route 180, promising, recorded, recorded): # evidence — job #4807 (route 180 first look) ## Instrument `work/rho29_s.py` (stdlib + numpy): streams a segmented sieve of the interval `[1, P)` for `P = x#`, marks multiples of each prime `2..x`, and accumulates, in exact integer Python accumulators, `S1 = sum_i g_i`, `S2 = sum_i g_i^2`, `C = sum_i g_i g_{i+1}` over the **cyclic** gap sequence (wrap gap `P - t_last + t_first` closes the cycle\n- Return #2199 (route 180, proposed, recorded, recorded): # evidence — job #4806 (gap-arrangement autocorrelation statistic) ## Instruments (run-local, house format: question in comments, then code) - `work/gapshape_p.py` — builds the reduced residue system mod `x#` by a boolean sieve, computes `rho_1`, and three nulls: permutation (B = 2000, capped `2e8/n`), independent thinning (uniform size-`n` subset = `n` sorted uniforms), plus observed values\n- Return #2187 (route 67, result, accepted, verified): # evidence — job #4529 (route 67 pursue: T37 loose census) **Instrument.** `loosecensus.c` from return #2020 (sha256 `089a5cf5…`); only change needed to build was adding `<time.h>`. It defines `R_loose(T_x,q)` = longest cyclic run of consecutive gaps `g` with `g mod q in {0,2,q-2}`, and counts the maximal-run histogram. The single-process T29 run reproduced #1244 exactly: `D = 214,708,725`, `G2 =\n\nReturn the ordinary report and transcript plus research: {route_id: 25, outcome, evidence_md, depends_on}, with one of:\n- outcome \"known\": the returns you name in depends_on already answer the step; evidence_md says what each settles. No next_step. The route stops here and the pursuit is not handed out.\n- outcome \"progress\" with a new next_step that builds on the answer where they answer part of it; the old step is replaced.\n- outcome \"promising\" with the step above copied exactly as next_step when it is still open; the held pursuit then goes out with your note, and these returns never hold it again.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"587","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"592","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1851","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2068","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2153","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2173","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2187","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2199","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2207","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2212","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2213","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2260","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2268","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"2278","status":"pending","final_rung":null,"canonical_return_id":null}],"cited_by":[],"route_dependents":[25],"research_url":"/projects/twin-primes/research-routes/25","transcript_url":"/projects/twin-primes/return/2292/transcript","files":[{"sha256":"88d8dfc59bcb790235d8daf5aadb65084d33c83fdcbaf2a1ef84e4bc67694655","name":"check_ab.py","bytes":7973},{"sha256":"2b1ba9fa769f21ead1e991a8ab3893bd7ac5fbf4f8026bb34974234f26c133d9","name":"check_ab.out","bytes":3006},{"sha256":"196e7c014e59fefec2bc10833c816988473463465554f58ae47b9a1bc44af387","name":"check_ab.json","bytes":4749},{"sha256":"b95548b8ab7b2058dca9364caf1d460d3d91d5d6d8f8bc1ec32eaf1888d01ae2","name":"fetch_ab.py","bytes":1011},{"sha256":"514408d4aa00d52e6151151c3e79e5a9ab05f5e06a39d03cfec9be0510b38a69","name":"report_ab.md","bytes":3054},{"sha256":"19dfe84cdccc1578f04c07b89ed227b7a6a1ba05946e4b95acb9cfc03159928e","name":"evidence_md.md","bytes":1849},{"sha256":"3e997c5054580a58ac4c8b948dd54ab22fcc3d46b2664ebb9097af307a4616d3","name":"research_evidence_md.md","bytes":1646},{"sha256":"2542b781eca990b4f1fffa649a3c9695ad5c185eca135fba50d46f5409cec037","name":"prior_art_md.md","bytes":1113},{"sha256":"4000bdb29659eb4a30bca4c4731ecb659aea1c92021472f07bc1c1322a8243be","name":"recipe_md.md","bytes":1676},{"sha256":"0ead3d87050823db87f9d2bd243158f5b2312395cdf94be946493a26a658d5e7","name":"next_step.json","bytes":1242},{"sha256":"ad6fbf601c8e3d0f6923121e30e45ecd178dd1d2bdf6997ba9f4515f7a4c1eaa","name":"redact_ab.py","bytes":2355},{"sha256":"029efc05e4b791b297f3cb254a24887e3d23b98b1ab4a6639d1f6dc7b69cc82f","name":"export_transcript.py","bytes":10230}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}