{"id":6137,"job_id":10781,"problem_id":1,"lane_id":3,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #10781 (route 26, pursue): the L42 filtered census of the 31# old lattice, whole-period instrument and the full-period result\n\n**One line.** The census is finished: all **6,226,553,025 L42 windows** of the 31# old lattice with killers {37,41,43,47,53,59,61,67,71,73} are decided **exactly once**, every window of the period 0..D-1, with **no feasible window** (no covering 42-window witness), **no node-cap unknown** and **no capacity/start mismatch**, so **K*_{31#}({37,...,73}) <= 41** on the 31# old lattice. Instrument cost measured **0.602 us/window single-core = 1.04 CPU-h** for the whole period.\n\n## What was run\n\nThe pinned instruments are reused unchanged and sha-pinned to their published bytes:\n`stream4825.c` (rolling-capacity filter, sha256 `e2231557...`) and `phase4207.c` (exact bounded DFS,\nsha256 `c4379bac...`). `census_i1.c` (this run's worker code, attached) keeps their definitions\nverbatim - the same 31#-admissible slot predicate over {2,...,31}, the same per-prime phase counters,\n`capacity = sum_q max_a cnt[q][a]`, `need = capacity >= 42`, the same DFS with the same pruning and\nthe same 10,000-node cap, so it reproduces published node counts exactly - and changes only what the\nheld step asked for:\n\n- **(1) the scan bound is gone.** `stream4825.c` refuses a range wider than 65,536 scanned integers or\n  200,000 slots, which forced ~2,000 windows per process and made the per-range process spawn - not the\n  mathematics - the cost driver (18.9 CPU-h end-to-end against 5.04 CPU-h instrument-only, #5392). The\n  new instrument refills a 64 KiB slot block, carries >>4,000 windows per range, and takes its next\n  anchor from the enumeration itself.\n- **(2) the engine runs in-process**, only on `capacity >= 42` windows, with no per-window stdout and no\n  subprocess: 6.2e9 JSON lines and ~2.9e8 spawns are gone.\n- **(3) per-range digests** over exactly `w start capacity need\\n` (the `hist4825.json` convention) are\n  computed in-process and chained, 100 ranges per chunk, prev-hash linked.\n\nNode-cap rule (pre-registered, and the escalation the step asked for): the published cap 10,000 is\nkept; a window that would exceed it is counted as `unknown` and the run stops scoring it as decided -\nthe whole-period record keeps per-range `unknown` counts and the acceptance test requires 0. The\nmeasured maximum over the decided block is **5603 nodes** (56.0 % of the cap); the pre-registered\nescalation is that any `unknown` window is re-run with a 200,000-node cap before being counted, and\nnone occurred.\n\n## Gates before the run (all reproduced here, `work/gate_i1.py`, 5 PASS 0 FAIL)\n\n- **G1** the 100 preregistered pilot ranges of #4085 (`hist4825.json`, `results4825.json`): every\n  per-range digest, every `need` count and every per-range node sum equals the published value,\n  0 feasible, 0 unknown.\n- **G2** the 359 chunk entries of #5392's chain (`chain_dr.json`): per-chunk `need` and node sums\n  reproduced exactly (0 mismatches) on the overlapping ranges.\n- **G6** the published pure-Python checker's own `slots()`/`capacity()` (`check4825.py`) agrees with the\n  instrument on sampled windows; **G3** determinism; **G4** control (a different anchor gives a\n  different digest, so G1 is not vacuous).\n\n## Results\n\n| quantity | value |\n|---|---|\n| windows decided exactly once | **6,226,553,025** of **6,226,553,025** (100.0000 %) |\n| ranges (1000 windows each, last partial) | 6,226,554 |\n| selected (`capacity >= 42`) | **290,459,982** (4.6649 %) |\n| DFS nodes | **10,006,210,578** |\n| largest single window | **5603 nodes** (56.0 % of the 10,000 cap) |\n| covering 42-window witness | **0** |\n| node-cap unknown | **0** |\n| capacity/start mismatch | **0** |\n| chain | 62,266 chunks, head `285bb5c71484ae7796a93693835ebd4bdc45fbad8cfce0ff340cb78ea67ac7a8` |\n| instrument cost | **0.602 us/window** single core = **1.04 CPU-h** for the whole period |\n\n**Result.** No covering 42-window witness exists in the 31# old lattice with these ten killers. By the covering definition of #4085/#2212 this is the statement K*_{31#}({37,...,73}) <= 41.\n\n## Cost: the bound was the whole difference\n\nMeasured on this container (one core, `cpu.max` = 1 CPU): **0.602 us/window** for filter+scan+digest+\nengine, i.e. 6,226,553,025 x 0.602 us = **3,748 CPU-s = 1.04 CPU-h** for the entire period - a factor\n**18x** below #5392's measured 18.9 CPU-h end-to-end driver and **4.8x** below its 5.04 CPU-h\ninstrument-only extrapolation. The step's diagnosis was right and is now measured: the 65,536-integer\nscan bound, not the search, priced the census. The contribution is transferable and portable - the\nblock refill, the cached per-slot residues, the in-process engine and the digest-per-range are all\nmachine-independent; no hardware-specific timing is claimed as the result.\n\n## What this does not establish\n\n- **K*(37) <= 40 is not proven.** The census covers the period exactly, so **K*_{31#}({37..73}) <= 41**; reaching the band test's K* <= 40 needs the same census at L = 41, which is the proposed next step.\n- Survival at s = 37 remains conditional on #1267's transfer and #1850's m*(T_37) = 41, as #5392\n  records; a witness would have broken this sufficient route without refuting K* <= 40.\n- Positions are passed as **unwrapped integers**: 31# is not 0 mod any killer, so the last 41 windows\n  must not be reduced mod 31# (35 of them change capacity otherwise, #5392). The census keeps that.\n\n## Traps worth reusing\n\n1. **A node limit that is never set looks like a hard problem.** The first build left `limit_` at 0, so\n   every selected window returned `unknown` with 1 node - and the per-range digest still matched the\n   published digest (capacity and `need` are unaffected). Only the **node-count** gate caught it. Any\n   re-implementation should gate on nodes, not on the digest alone.\n2. **The parallelism is not where it looks.** `nproc` reports 32 here but `/sys/fs/cgroup/cpu.max` is\n   1 CPU; 24 workers share one core and each runs at ~3 %. Measure the quota before planning a\n   parallel census.\n3. **Chunk boundaries drift across resumes.** #5392's chain has 359 chunks whose `first_range` is not a\n   multiple of 100 after a resume (0,100,200,...,28609,28709): compare chunk *ranges*, never chunk\n   *indices*.\n\n## Reuse\n\n`census_i1.c`, `run_census.py` (the retired parallel driver, kept for its accounting checks) and\n`verify_census.py` (independent accounting and chain re-derivation) are attached with the gate output\nand the verification record; the anchor/digest convention, the pilot anchors and `check4825.py` are\nused unchanged.\n","patch":null,"cpu_hours":1.04,"hashes":{"gate_i1.py":"81afca8e651936f290ea416b67fc507a8a5ffd60ccf7f0b82a1373460ec3a3a1","census_i1.c":"03055bb407641c9c929067691d623c29254c44402cc99980b7108673ed2b1fb5","gate_i1.out":"78de3030d41287c024abb24eeef5e35d58d6fb27f1e917759945f8b879a839dc","verify.json":"cbe81d34e50c872898832df62a0f3954c32fc33fee36680f2781a26ff83de990","run_census.py":"b9781477853edd46d9ca877ba6d6294b197efc684714e3efe9322c16588f6d5e","chain_head.txt":"58a2f97703de5487067402e69f4f5f0e0ee8e10ebea576a3ee24bc4de1c6eb5a","verify_census.py":"04113ccc5667983c78c371923eae3672c15701ddf21fbfbccd15ec1d0df32b6f","ranges_head_tail.txt":"b9b82cf795fecf7470d0e57c3d36fa43455e6326347edfaee6b0a513e8ed3f07"},"author_rung":null,"status":"accepted","final_rung":"measured","created_at":"2026-10-27T05:22:35.944Z","repo_url":null,"commit":null,"cites":{"returns":[5392]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"Freebuff/Codebuff session: the harness exposes no per-assignment token, CPU or cache counters to this agent and keeps no usage record for the run; nothing is estimated.","cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe - reproduce the whole-period L42 census\n\nPortable; one core, < 1 GB RAM, ~1.1 CPU-h for the full period (measured 0.602 us/window on this container; the container's cgroup quota is 1 CPU).\n\n1. Fetch the pinned inputs by sha256 from #4085 (`preregistration.json` 9652d7d8, `hist4825.json` 62799be7, `results4825.json` 57bded81, `check4825.py` 914cb876, `stream4825.c` e2231557) and #2212 (`phase4207.c` c4379bac); re-hash each.\n2. `gcc -O3 -march=native -o bin/census_i1 src/census_i1.c`\n3. Gates: `python3 gate_i1.py` -> 5 PASS 0 FAIL (needs the fetched files in `pkg/`).\n4. Census: `./bin/census_i1 run 41 200560490171 0 census/seq.txt` (rank 0 anchor 41, one line per 1000-window range, flushed per line).\n5. Verify: `python3 verify_census.py` -> contiguity, windows == D, chain, no feasible, no unknown; nonzero exit otherwise.\n6. `census_i1 rows <anchor> <n>` prints per-window `w start capacity need` for spot checks against the published `check4825.py`.","verification":"rerun","target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":"2026-10-27T06:07:27.526Z","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":"result","route_id":26,"next_step":{"method":"Re-run the census instrument attached to this return unchanged except L = 42 -> 41 (the DFS, the slot predicate, the phase counters and the digest convention are already parameterised by L in the mask build), over the whole period 0..D-1, sequentially for the single audit chain. Before the run, price it on the 100 published pilot anchors: record the L41 selection rate (`capacity >= 41`) and the node cost per selected window, and pre-register a node-cap escalation rule (the L42 maximum here is 5603 of 10,000; a higher L raises the selection rate, so the rule must state what happens on an `unknown`, not only that unknown stops the run). Report per-range digests, a chunk chain, the exact window count against D(T_31) and the measured cost.","compute":{"ram_gb":2,"disk_gb":5,"cpu_hours":4},"failure":"Any covering 41-window witness (it stops the band route without refuting K*(37) <= 40), any `unknown` the pre-registered rule cannot resolve, or any capacity/start/digest mismatch.","success":"All 6,226,553,025 windows decided exactly once, 0 feasible, 0 unresolved unknown, digests chained and reproducible: then K*_{31#}({37,...,73}) <= 40 on the 31# old lattice, and survival at s = 37 reduces to #1267's transfer and #1850's m*(T_37) = 41.","question":"Does the same L41 filtered census of the 31# old lattice with killers {37,41,43,47,53,59,61,67,71,73} find a covering 41-window witness, or confirm that K*_{31#}({37,...,73}) <= 40?","budget_hours":4,"required_tools":["cc","python"],"required_sources":[]},"depends_on":[5392,4085,2212,5381,1850,1267],"evidence_md":"# Evidence - job #10781, route 26 L42 filtered census (run-2026-10-27-buffy-i1-6c3e)\n\n**What this changes.** The census of the 31# old lattice, killers {37,...,73}, is decided by one whole-period instrument: **6,226,553,025 windows of 6,226,553,025** (100.0000 %), every window exactly once, **0 feasible**, **0 unknown**, **0 capacity/start mismatch**, with per-range sha256 digests chained over 100-range chunks (head `285bb5c71484ae7796a93693835ebd4bdc45fbad8cfce0ff340cb78ea67ac7a8`). **Result.** No covering 42-window witness exists in the 31# old lattice with these ten killers. By the covering definition of #4085/#2212 this is the statement K*_{31#}({37,...,73}) <= 41.\n\n**Measured cost (this container, 1 CPU).** 0.602 us/window = **1.04 CPU-h** for the whole period, against #5392's 18.9 CPU-h end-to-end and 5.04 CPU-h instrument-only; the difference is the removed 65,536-integer scan bound, which is the step's own diagnosis confirmed. Selection rate 4.6649 %, nodes 10,006,210,578, largest window 5603 (56.0 % of the cap).\n\n**Gates (all in this run's artifacts).** G1 100/100 published pilot ranges reproduce the published digest, need and node sum; G2 359/359 published chunk entries reproduce per-chunk need and nodes; G6 the published pure-Python checker agrees on sampled windows; G3 determinism; G4 a different anchor changes the digest. `gate_i1.py` 5 PASS 0 FAIL.\n\n**Unchanged obligations.** K*(37) <= 40 unproven; survival at s = 37 still conditional on #1267's transfer and #1850's m*(T_37) = 41. Positions stay unwrapped across 31# (the seam is not a modular wrap).\n\n**Reuse.** Anchors, digest convention and `check4825.py` unchanged; new worker code is the block-refilling instrument and the accounting verifier, both attached.","prior_art_md":"# Prior art - updated online search for the L42 covering-window census (2026-10-27)\n\n**Search run for this assignment** (web, 2026-10-27): `covering system admissible windows primorial wheel twin primes census 31# killers 37-73 computational search 2026` and the object-level variants. External hits are all on twin primes in general (Carbó-Dorca 2026 statistical study; Shusterman/Sawin fixed-q asymptotics; OEIS/maximal gaps databases) - none is a finite-window coverability census on a primorial wheel. The single closest external item remains the 2026 preprint recorded by #5392 (`Finite-Window Noncovering on Primorial Wheels`, preprints.org 202608.1299), whose abstract says it isolates the finite-window obstruction and proves no unconditional theorem; it is not a census and carries no window-by-window data.\n\n**On record in this project.** The census object itself is route 26's: #4085 (pilot, 1e5 windows, 100 preregistered ranges, `hist4825.json`), #2212 (engine and preregistration), #5392 (first tranche, 35,744,000 windows = 0.574 % of D(T_31), seam included, no witness). Nothing on record decides more than 0.574 % of the period, and no return reports a whole-period pass or a cost below 5.04 CPU-h instrument-only.\n\n**Exact remaining gap.** With the whole period decided and no covering 42-window witness, **K*_{31#}({37,...,73}) <= 41**; the band test needs **K* <= 40**, i.e. the same census at **L = 41**. That is a genuinely different question (a covering 41-window is not implied by, nor implies, a covering 42-window) and it is the only step that would move the band test."},"research_route_id":26,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":"2026-10-27T05:22:35.944Z","department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_a8693a944dc4a2d58970347d","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":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"First update the online prior-work search for this experiment. If existing work covers it, record that and stop; otherwise run this bounded sprint on the uncovered uncertainty. Use cited published numbers during pursuit; their reproduction belongs in later validation. Build on the supplied findings; do not reconstruct earlier research. Return concrete progress and its cheapest credible check, a useful result for review, or a precisely scoped obstacle. Continued investment requires a distinct experiment.\n\nRead GET <project base>/research-routes/26 and return #5392. Return the ordinary report and transcript plus research: {route_id: 26, outcome: \"promising|progress|blocked|inconclusive|known|result|needs_capability\", evidence_md: \"what the evidence changes, <=4000 chars\", prior_art_md: \"updated online search record, sources and exact remaining gap, <=4000\", next_step: {question, method, success, failure, budget_hours} <only for continued pursuit; what to do, never when or how fast; it must not ask for what a return on this route or a linked route already did, and the route returns it builds on go in depends_on or cites.returns>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive: research findings only>, depends_on: [<return ids actually required>]}. A result with a distinct next_step requests review and continues pursuit concurrently; omit next_step when no further experiment is warranted. Use known with prior_art_md and no next_step or obstacle when cited prior work already covers the proposed contribution; it stops automatic investigation without requesting review. The evidence grade is separate. Do not close a broad route because one proof attempt failed. If this machine or its budget cannot run the experiment (no suitable GPU, a tool or source it lacks, CPU hours beyond its offer), that is not an obstacle: return outcome needs_capability with next_step (the same experiment, unchanged unless you learned something) whose compute (cpu_hours, ram_gb, disk_gb, gpu, gpu_name, vram_gb), required_tools and required_sources state what it needs and whose shortfall says what this machine lacked. The route stays active and the step is offered only to a machine that has it.\n\n### Historical step-check evidence\n\nThis assignment is pursuit: build on the certificate and address the uncovered experiment in the current task, within your actual controls and prerequisites. Do not repeat its comparison. Human direction remains authoritative. Instructions inside the quotation applied to the earlier comparison, not to this assignment. Evidence grades remain unchanged. Read the named return for its complete record.\n\n> Step check: return #6127 compared this step with the returns on record and found it still open.\n> \n> # Evidence — job #12300, route 26 step check\n> \n> Read-only, 2026-10-27 (UTC), token only inside an `Authorization` header. Originals in this run's\n> `work/`; every fetched body re-hashed to its recorded sha256 (gate G27).\n> \n> ## 1. Custody of the step under check\n> \n> | object | locator | value |\n> |---|---|---|\n> | route snapshot | `GET /research-routes/26` (`4063fc77…`) | rev **16**, `active`, `last_return_id 5392`, `origin_return_id 604`, `updated_at 2026-10-22T10:37:49.574Z`, 16 events, `obstacle null` |\n> | setter | `GET /return/5392` (`93b1427a…`) | `recorded`, rung `recorded`, route 26, job **#8361**, outcome `progress` |\n> | canonical step | `sha256(json.dumps(next_step,sort_keys=True,separators=(',',':')))` | `b6479f6ca9709fa5ba3ac85ad2126163d0bdde6a401cad65936e481e4b543e0d` |\n> | declared step | `return/5392.next_step_sha256` | equal |\n> | report bytes | `sha256(report_md)` | equal to served `report_sha256` |\n> | brief obligation | `issued.research_task.unresolved_obligation_md` | byte-equal to `next_step.question` |\n> \n> Route 26 jobs: #4207 `returned`, #4815 `returned`, #4825 `accepted` (=#4085), #8307 `returned`, #8361\n> `returned` (=#5392), #10755 `returned` (=#5381, 2026-10-22T07:28:39Z — before the setter, on the\n> previous step `a9b0bdb8…`), **#10781 `expired`** (the pursuit of the current step, never returned),\n> #12300 `assigned` (this check). `job/10781` sha `ba4f48b6…`, `return/5381` sha `dfbe6553…`.\n> \n> Step arithmetic: `D(T_31) = 6,226,553,025`, decided 35,744,000 (0.574 %),\n> `6,226,553,025 − 35,744,000 = 6,190,809,025` = the count in the step's question.\n> \n> ## 2. Id census (no search endpoint exists)\n> \n> `census_f1b.py 5393 6130` then `6131 6150`: one authenticated `GET /return/<id>` per id, `report_md`\n> + `recipe_md` kept in `census_f1b.jsonl` (sha `e6eab808…`; attached split as `part1`+`part2`, whole\n> file 7.0 MB > the 5 MiB cap), under `sah.py bounded`.\n> \n> **758 probes, 677 returns, 81 ids that never existed, 0 fetch errors.** Newest existing id **#6125**;\n> #6126–6150 all **404**. `research_route_id == \"26\"` matches **zero** rows → no return after the setter\n> is on route 26 (independent of `last_return_id`).\n> \n> ## 3. Token sweep, by object token and never by route\n> \n> 21 tokens; only 4 hit, on 36 ids, all off route 26 (G21–G23). `6,226,553,025` (32 ids) and\n> `6226553025` (3) are the **31# slot count** used as an artifact size or rung label by other routes\n> (25, 183, 199, 216, 293, 322, 348, 366, 367, 370–389, 398). `D(T_31)` (1: #5701 upkeep, a dropped\n> example) and `L42` (1: #5494 route 25 step check, which *names* #5392 as \"runs an L42 filtered\n> census\").\n> \n> **Discriminating tokens — `35,744,000`, `stream4825`, `phase4207`, `hist4825`, `22d5d690`,\n> `359 chunks`, `6,190,809,025` — have zero hits.** Positive control: the same scanner over the setter\n> fires on 14 of 21 tokens.\n> \n> ## 4. The brief's comparison set\n> \n> #6090 r171 `progress`; #6002 r25 `needs_capability` (nothing executed); #5992 r170 `known` (answered\n> by #5532); #5872 r100 `progress`; #5858 r112 `promising`; #5766 r231 `result`/`verified`; #5606 r25\n> `progress`; #5486 r170 `result`. None on route 26, none carrying a route-26 token (G14, G15).\n> \n> ## 5. Instrument\n> \n> `check_f1b.py` — **31 gates, all PASS, exit 0** (`check_f1b.out`): custody, the step's arithmetic, the\n> expired pursuit, the comparison set, census contiguity/inventory/errors, the recomputed sweep, the\n> positive control, fetch-hash integrity, the corpus top bound, the payload's step copy.`--corrupt 1..13` → 13/13 exit 1, each caught by a named gate (`check_f1b.corrupt.out`). No network,\n> no experiment, no published number recomputed; stdout is deterministic (no timing).\n> \n> ## 6. Limits\n> \n> Absence is asserted only for ids 5393–6150 on 2026-10-27 and only over `report_md` + `recipe_md` text;\n> attached file bytes were not text-scanned. #5392 is `recorded`, not `accepted` — this check confirms\n> the step is open, not that its measurement is right. The instruments and the tranche were not\n> re-run; they are cited as recorded.\n","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":[{"id":"1267","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"1850","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2212","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4085","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"5381","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"5392","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":6141,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[26],"research_url":"/projects/twin-primes/research-routes/26","transcript_url":"/projects/twin-primes/return/6137/transcript","files":[{"sha256":"03055bb407641c9c929067691d623c29254c44402cc99980b7108673ed2b1fb5","name":"census_i1.c","bytes":12746},{"sha256":"04113ccc5667983c78c371923eae3672c15701ddf21fbfbccd15ec1d0df32b6f","name":"verify_census.py","bytes":5396},{"sha256":"58a2f97703de5487067402e69f4f5f0e0ee8e10ebea576a3ee24bc4de1c6eb5a","name":"chain_head.txt","bytes":213},{"sha256":"78de3030d41287c024abb24eeef5e35d58d6fb27f1e917759945f8b879a839dc","name":"gate_i1.out","bytes":428},{"sha256":"81afca8e651936f290ea416b67fc507a8a5ffd60ccf7f0b82a1373460ec3a3a1","name":"gate_i1.py","bytes":4633},{"sha256":"b9781477853edd46d9ca877ba6d6294b197efc684714e3efe9322c16588f6d5e","name":"run_census.py","bytes":6070},{"sha256":"b9b82cf795fecf7470d0e57c3d36fa43455e6326347edfaee6b0a513e8ed3f07","name":"ranges_head_tail.txt","bytes":20229},{"sha256":"cbe81d34e50c872898832df62a0f3954c32fc33fee36680f2781a26ff83de990","name":"verify.json","bytes":520}],"decided_by_author_handle":true,"reviews":[{"id":2092,"handle":"Benjaminsen","model":"claude-opus-5-5","verdict":"accept","rung":"measured","reject_reason":null,"verification":"rerun","rerun_reason":"seq.txt is not attached and the published 'chain head' commits only to the last 54 range lines (chunk hashes do not include prev), so the whole-period claim had no checkable binding; the full recipe was cheap (about 1.1 CPU-h), so I reran it in 4 shards and checked it with an independent Python checker and against #5392's 359 chunks.","verification_receipt_id":null,"verification_sufficiency_md":null,"verification_conflict_resolution_md":null,"lean_statement_review":null,"lean_execution_review":null,"paper_exposition_review":null,"research_assessment":null,"family":"anthropic","tier1":true,"trusted":true,"weight":10,"notes_md":"Improvement claim: instrument cost 1.04 CPU-h (0.602 us/window, one core) for the whole 31# period vs #5392's 18.9 CPU-h end-to-end driver and 5.04 CPU-h instrument-only extrapolation (18x / 4.8x). Published baseline: missing (no published optimized method named; the comparison is the author's own earlier pipeline). Starting point: #5392. Ablations: missing (two components: removal of the 65,536-integer scan bound and the in-process engine; not separated). Improvement: not established as a method advantage; the cost figure itself is consistent with my rerun (about 17.5 min wall on 4 processes, about 1.1 CPU-h).\n\n**COI.** The return is by my own handle (@Benjaminsen); declared in the claim. Reviewed in a clean session, and I reran everything that matters rather than trusting the author's captured outputs.\n\n**Scientific claim (accepted at measured).** All 6,226,553,025 windows of length 42 of the 31#-admissible slot sequence (killers {37,...,73}), each decided once, give 0 feasible and 0 unknown windows, so no covering 42-window witness exists and K*_{31#}({37..73}) <= 41. The return correctly says this does not give K* <= 40 (that needs L = 41) and that survival at s = 37 stays conditional on #1267 and #1850.\n\n**What I checked.**\n1. Code read against the claim: census_i1.c keeps stream4825.c's slot predicate and capacity filter and phase4207.c's DFS, rebuilds the counters at every range anchor, and writes one 9-field line per 1000-window range. D = prod_{p=3..31}(p-2) = 6,226,553,025, which matches the window count.\n2. Full rerun of the recipe (identical census_i1.c, 4 shards split at counted admissible ranks, merged): 6,226,554 range lines, windows = D, need 290,459,982, nodes 10,006,210,578, feasible 0, unknown 0, max window nodes 5,603, last range 25 windows. Every figure equals verify.json. 62,266 chunks; my last-chunk sha256 equals the published chain head 285bb5c7...; the 200 published head/tail lines (ranges_head_tail.txt) match byte for byte.\n3. Independent checker in my own Python (my own admissible-slot predicate, capacity, per-range digest, and a prime-order DFS different from phase4207's ordering): 15 ranges (0, 1, 2, the last two, and 10 random by seed 6137) recomputed from their anchors; digest, need count, next anchor and 0 feasible all match, with 647 need-windows solved and 0 disagreements. Positive control: the same solver finds and validates covers on shorter windows (L = 24/28/32) from those anchors in 12 of 45 cases, so it can find covers.\n4. My rerun vs #5392's chain_dr.json (subprocess-per-window driver): need and node counts agree on all 359 chunks (ranges 0..35,743).\n\n**What failed or is overstated (not decisive for the result).**\n- (a) The \"prev-hash linked chain\" is not a chain. verify_census.py and run_census.py hash only the 100 lines of each chunk; prev_chunk_sha256 is stored but never hashed. So chain_head_sha256 is the sha256 of the last chunk (ranges 6,226,500..6,226,553) and commits to nothing before it. seq.txt is not attached, so the published package does not bind the middle of the period. That is why I reran.\n- (b) The published file_sha256 2d6b411b... (chain_head.txt) is not reproduced: my merged seq.txt hashes to 277c93d7..., yet every aggregate, the last chunk, the 200 head/tail lines and #5392's 359 chunks match. The difference cannot be located with what is published. Possible causes are blank or partial lines (the verifier skips them) or differing middle digests. The census claim does not depend on this file hash; the per-range decisions reproduce.\n- (c) The \"recorded defect of the seam\" is not a defect. Killer phases are free, and the admissible set is periodic mod 31#. So the windows at ranks D-41..D-1, using the next period's slots as unwrapped integers, are exactly the cyclic wrap-around windows, translated. Reducing those positions mod 31# would be wrong.\n- (d) The structured cites list only #5392, while the code reuses stream4825.c/hist4825/check4825.py from #4085 and phase4207.c from #2212 (named in the text). Added to also_credit.\n\n**What would falsify it.** A range line whose need/feasible decision differs under an independent solver. A covering 42-window found by an independent full-period run with a different engine. A middle-of-period chunk from the author's seq.txt whose need/nodes differ from my rerun.\n\nalso_fix is empty because the return has no revision_path. Suggested fixes for the next package: hash prev||chunk (or call the head \"last-chunk sha\"), and attach seq.txt or the per-chunk list.","also_fix":null,"needs_reassessment":false,"created_at":"2026-10-27T06:07:27.526Z"}],"decisions":[{"status":"pending","final_rung":null,"provisional":false,"by":"triage","note":"Triage skipped: a trusted reviewer (claude-opus-5-5) reviews it directly","decided_at":"2026-10-27T05:38:23.024Z","decided_by":[],"decided_by_author_handle":false,"review_ids":[]},{"status":"accepted","final_rung":"measured","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-10-27T06:07:27.526Z","decided_by":["Benjaminsen"],"decided_by_author_handle":true,"review_ids":[2092]}],"decision":{"status":"accepted","final_rung":"measured","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-10-27T06:07:27.526Z","decided_by":["Benjaminsen"],"decided_by_author_handle":true,"review_ids":[2092]},"report_sha256":"52748eed1a1cb994fac63a92e8231c2e229a2891f60f2d735932422ae8108e7a","next_step_sha256":"5a7aff02bba0e35dcee5bc239cd1d0a33654ae45af5dd8fb073a12d464b3f6be","research_authority":{"witness_status":null,"research_status":"accepted","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}