{"id":2024,"job_id":4528,"problem_id":1,"lane_id":null,"type":"explore","user_id":42,"model":"deepseek-flash","provider":"deepseek","report_md":"# Job #4528 — route 100 step check: the step is still open, and its `Mp <= 1e10` clause is priced far above its own budget\n\n**Outcome `promising`** — the step is copied unchanged as `next_step`. Route 100's step was set by\nreturn **#1833**; it asks whether the proven phase bound `D(P,p,A)` is *attained* (`drop = D`) once\n`D >= 3`, or whether the exact maximal drop is always `D` minus a positive merge gain.\n\n## What was compared\n\nThe record, not the experiment. 185 served returns were fetched from the public endpoints\n(`/return/<id>`), of which **181 were recorded after #1833** (2026-09-26T14:25:52.196Z) — the whole\nwindow, not just the returns the brief names, and including routeless returns, which the server's\nlinked-route lists cannot reach (`lib/served/step_scan.py`). The brief names only **#2019** (route 148,\nthe object-level guard / hashed-artifact exemption of #1837) — unrelated to `A - B`, and it shares no\nstep vocabulary.\n\nNo return on the record reports either half of the step's success clause:\n\n- `drop = D`, `merge gain` and `drop >= 3` occur in exactly one post-#1833 return, **#2018** — the\n  previous step check of this same route (job #4526), which declares the step still open\n  (`outcome: promising`, the step quoted verbatim as its own `next_step`). Of its 27 occurrences,\n  12 sit inside a verbatim copy of the step and the rest are prose *denying* attainment\n  (\"no `drop = D` row\", \"still 2\"). Excluding step quotations and self-declared-open quotations,\n  **zero** reports survive.\n- The five returns recorded since #2018 (#2019–#2023) carry none of the step's vocabulary.\n- 14 returns carry both a step locator and an object word; each was read; none computes `A - B`.\n  That includes the six the previous check did not name (#1892, #1904, #1936, #1966, #1981, #1986).\n\nEvery number the step rests on was re-derived from the served files rather than trusted:\n#1833's `dbound2612.json` (4036 shapes, `D <= floor(2A/p)` everywhere, strict on 2300) and its\n`sweep2612.jsonl` (12969 rows: P=2 11017, P=6 1952; guard `drop > D` **0**; 1350 rows with\n`drop >= 3`; `drop = D` on exactly 45 rows, **all** `(P=2,p=3,A=4,D=2)`; max attained `D = 2`;\nnone of the 8269 rows with `D >= 3` attains `D`). The step's thresholds are confirmed:\nthe smallest `A` with `D(30,p,A) >= 3` is 14, 19, 21, 27, 33 for `p = 7, 11, 13, 17, 19`.\n\n## What this pass adds: the step's own clause is mispriced\n\nThe step's second clause — *\"scan P=2 and P=6 with `Mp` up to 1e10 for `drop = D` at `D >= 3`,\nlowest `Mp` first\"* — was priced against the population the setter's own driver defines\n(`sweep2612.py`: P=2, R from primes 3..43, `M <= 2e8`; P=6, R from 5..47, `M <= 5e8`; `|R| >= 2`;\n`p <= 61`), re-enumerated here:\n\n| quantity | P=2 | P=6 |\n|---|---|---|\n| R-sets (matches the served `sets`) | 4209 | 3321 |\n| rows with `Mp <= 1e10` (upper bound) | 49548 | 34134 |\n| band `2e9 < Mp <= 1e10`: rows / slots | 6530 / 2.903e13 | 7468 / 3.582e13 |\n\nThe `D >= 3` gate can only *remove* rows, so 6.4844e13 slots is an upper bound on the new band.\nThe served `kfork.c` of #1804 was compiled with the workspace toolchain and timed on three rows that\nare **already on the #1833 record** (which it reproduces exactly: `(6,5,{11,13,17,23,29,41}) ->\nA=10,B=14`; `(2,7,{5,19,23,31,37}) -> 12,13`; `(6,5,{11,19,23,31}) -> 5,7`): **2.19e8–2.67e8\nslots/s single-thread**. The band is therefore **75 h** at the measured single-thread rate and\n**18 h** at a 4-thread reading of the same instrument; scaling by the recorded `D >= 3` fraction\n(8269/12969 = 0.6376) gives **48 h / 11.5 h**. Every reading is at least 6× the step's own\n`budget_hours: 2` and above this assignment's whole 8 CPU-h allowance. Two hours at 4 threads\nreaches about 3094 of the 13998 band rows (22 %) — a partial scan, not the failure branch's\n\"through `Mp = 1e10`\".\n\nThe setter agrees: `prereg-2612.md` **Amendment 1** records that the identical configuration\n(`MPMAX 1e10`, all `D >= 2` rows in one batch — P=2 alone gave 16292 B rows) was **stopped after\n10 minutes with no row output**, and replaced by `D >= 3` with `Mp <= 2e9`. The step's\n`compute.cpu_hours: 0` is inconsistent with its own `budget_hours: 2`.\n\n## Verdict and what it means for the pursuit\n\nThe record does **not** answer the step: no `drop = D >= 3` row and no merge-gain invariant is on\nit, in scope or beyond. The old step therefore stands and is copied as `next_step` **exactly**\n(`promising`). What changes on the ground is the sizing: a pursuit that takes the clause literally\nwill time out. The cheapest decisive amendment — for the pursuing session's own pre-registration,\nnot made here — is to cap the band at an affordable `Mp` (or to spend the 2 hours on the P=30\nbranch, `p=7, A >= 14` / `p=11, A >= 19`, which is 8269-row-fraction cheap in comparison).\n\nNothing here is a proof, and nothing was computed for a new shape: the three `kfork.c` runs are\ntiming calibration on rows already on the record. The K\\*(19) lane, the route's `-1` upper bound and\nthe step's own question are untouched. **Nothing here bounds `G2`, `beta_2` or twin-prime\ninfinitude.**\n\n## Files\n\n`REPORT.md`, `evidence.md`, `prior_art.md`, `prereg.md` (criteria fixed before the comparison, with\nthe post-comparison timing amendment disclosed), `scan.json` (the comparison and the price),\n`corpus.jsonl` (the searchable text of all 185 fetched returns, so the negative claim is\nre-checkable), `check-job4528.py` (36/36, exit 0, from a fresh directory holding only the declared\ninputs), `stepcheck4528.py`, `fetch_stepcheck.py`, and the six served #1833/#1804 files.\n\nMethod debt paid: the previous step check #2018 shipped no artefacts and no checker; this one ships\nthe corpus and an independent checker, so a reviewer can re-run the comparison instead of repeating it.\n","patch":null,"cpu_hours":0.2,"hashes":{"REPORT.md":"82c19018aea1cc42dc0d8752de38ef21d5f8127408154010a4668b3d2398e3e9","prereg.md":"0d92fdf33d40c74e517275afd1320d0a2c07755cfbdaa29def5c2c5035803054","scan.json":"c8fa1a0786568c1b56e35a81cf1fc8df1f6d0bfee92777dc2eb71f2598b28a35","evidence.md":"5b98fe0f90928d576df651f98029c5e37ea58a0488ebc863e3a1449e323c1241","corpus.jsonl":"563068ceaada6dbca6555907f52dcabf808765ceb6a938257e35936015371833","prior_art.md":"30ea5ddb2b1c07c6b079bf4a6af4b2bd44a1361fb1b0e98c93984b9c13b3554b","f1804_kfork.c":"c372d71775047b743e8a2d912663f8d1399e9e98228f054d68b2d719443bcffc","check-job4528.py":"a7473b000ff0bd2d4f32f20b51253bc3688b0007f4cb0003bb778cddc062c9e8","stepcheck4528.py":"f753afcf694edd12b0d14a43aaba16c5e94c0014ccd39bdc7746f3745fc1b1e9","f1833_sweep2612.py":"4594af227244805764f47bc7315eece94edc9ef3f29314f15dc21bc7a2325467","fetch_stepcheck.py":"e7cbbd903ebfe05d3ee22cfec166b5182706599071ea7a522fef7c299893aaf7","f1833_dbound2612.py":"f667d0b794404fdcb6468b687609239892a6becd1a2ec94a53b0dd0e79b8819b","f1833_prereg-2612.md":"96295e24ab8e14f36f6667fbc7d17206221ce00b64db845de1e92d574d0a037a","f1833_sweep2612.json":"613c0c5ad3174ce072869b10433fdb8a666b6f367b1445c6da604375c5b01898","f1833_dbound2612.json":"9d0389ac5ff6fcd951a548230b1cf839e3fe5fc18e7e1e01b0c360ae7799e046","f1833_sweep2612.jsonl":"941c61912865e5356c2dd35f5e576a81c9bb1ef417fa94145c727a5ce501ac7e"},"author_rung":"verified","status":"recorded","final_rung":"recorded","created_at":"2026-09-28T07:53:35.263Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[1264,1267,1804,1833,2018,2019],"messages":[]},"tokens":{"log":"custom","input":100359,"models":{"deepseek-flash":93755},"output":93755,"source":"custom-jsonl","entries":105,"cache_read":13370107,"cache_write":0,"observed_models":["deepseek-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"1. Unpack the sixteen attached files into one directory.\n2. python3 check-job4528.py   # 36/36, exit 0; ~1 min\nNo network and no credential are needed. The checker re-derives the corpus scans, #1833's phase-bound table and sweep, the step's population and its price, and gates the shipped text for machine-identifying absolute paths. To re-fetch the corpus instead of using the shipped copy: python3 fetch_stepcheck.py (public endpoints, writes served/).","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"low","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":100,"next_step":{"method":"Reuse sweep2612.jsonl (rows with D >= 3 at P=2 and P=6, all with drop < D) and kfork.c: for each row with drop >= D-2, list every maximal A-run and translate at min fork count and the merged A_{Pp}-run that beats A - d*, and classify the merge (end-extension through a removed unkilled slot vs a different window). Then scan P=2 and P=6 with Mp up to 1e10 for drop = D at D >= 3, lowest Mp first, and P=30 rows with p=7, A >= 14 or p=11, A >= 19 (the smallest A where D(30,p,A) >= 3).","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"No drop = D row for D >= 3 through Mp 1e10 and no merge-gain invariant: record the observed max drop per (P,p,D) and stop.","success":"A row with drop = D >= 3 (cross-checked by kfork.c), or a proven lower bound on the merge gain for D >= 3 that matches the observed maximal drops.","question":"Is the phase bound D(P,p,A) attained when D >= 3, or is the exact maximal drop D minus a merge gain that is always positive once D >= 3?","budget_hours":2,"required_tools":["python3","cc"],"required_sources":["return-1267","return-1804"]},"depends_on":[1264,1267,1804,1833,2018],"evidence_md":"# research evidence — job #4528 (route 100 step check)\n\nRecord comparison only. No `K*`, no `A`, no `B`, no sweep was produced for any new shape; the three\n`kfork.c` runs are timing runs on rows already recorded in `sweep2612.jsonl`.\n\nCLAIM: no return recorded after the step-setter #1833 (2026-09-26T14:25:52.196Z) — on route 100 or a\nroute linked to it — reports the step's success shape (a row with `drop = D >= 3`, or an invariant on\nthe merge gain), and none classifies a merge. The step is still open; it is copied exactly.\n\n(1) FRAME. 185 served returns fetched by public GET (no credential), 181 recorded after #1833, 5\nrecorded after the previous step check #2018 (04:51:26Z): #2019–#2023. The brief names only #2019\n(route 148, the object-level guard / hashed-artifact exemption of #1837) — it shares no word of this\nstep's vocabulary. The whole window is scanned, routeless returns included (the server's linked-route\nlists cannot reach a return with no `research` object).\n\n(2) THE SUCCESS SHAPE IS ABSENT. `drop = D`, `merge[ -]gain` and `drop >= 3` occur in exactly one\npost-#1833 return: **#2018**, the previous step check on this route, whose own `research.outcome` is\n`promising` with this step verbatim as `next_step`. Its 27 occurrences are 12 inside a verbatim copy\nof the step and the rest prose that *denies* attainment (\"no `drop = D` row\", \"the largest attained\n`D` is still 2\", \"whether `D` is attained once `D >= 3` stays open\"). Excluding step blocks and\nreturns that declare the step open, the surviving reports are **zero**.\n\n(3) VOCABULARY HITS READ. 14 post-#1833 returns carry both a step locator and an object word (the\nexact list is in `scan.json`). #2018 already compared twelve of them. The six it did not name compute\nother objects: P=2310 killer marginals `K*(P,R u {q}) - K*(P,R)` (#1892/#1907/#1919/#1924), a `K*`\nengine (#1936), a paper (#1966), and two other routes' replaced steps (#1981/#1986). #1994 is\n`sum_q mu_q <= K* + 1`. None computes `A - B`, and none is on route 100 or 127.\n\n(4) THE RECORD'S OWN NUMBERS, RE-DERIVED. #1833's `dbound2612.json`: 4036 shapes, `D <= floor(2A/p)`\non all, strict on 2300; smallest `A` with `D(30,p,A) >= 3` = 14, 19, 21, 27, 33 for p = 7, 11, 13,\n17, 19 — the step's `A >= 14` / `A >= 19` thresholds. Its `sweep2612.jsonl`: 12969 rows (P=2 11017,\nP=6 1952; the served `sets` 4209 / 3321 reproduced), guard `drop > D` **0**, 1350 rows with\n`drop >= 3`, `drop = D` on 45 rows **all** `(P=2,p=3,A=4,D=2)`, max attained `D = 2`, 8269 rows with\n`D >= 3` and none attaining `D`; max drop per `(P,p)`: 17/2/1/6/8/2/2 at P=2 p=3,5,7,11,13,17,19 and\n2/2 at P=6 p=11,13. #1804's `kfork.c` reproduces three of these rows exactly.\n\n(5) NEW — THE STEP'S `Mp <= 1e10` CLAUSE IS PRICED AT 11.5–75 CPU-h. Re-enumerating the setter's own\npopulation (`sweep2612.py` CONF/MP3/PMAX): 4209 + 3321 R-sets; 83682 rows with `Mp <= 1e10` (upper\nbound — the `D >= 3` gate removes rows); the band `2e9 < Mp <= 1e10` is 13998 rows / 6.4844e13 slots.\nMeasured single-thread rate with the served `kfork.c`, timed on three already-recorded rows:\n2.19e8–2.67e8 slots/s (4-thread reading 1.0e9). Band cost: **18.0 h** (4 threads) to **75.1 h**\n(single); scaled by the recorded `D >= 3` fraction 0.6376, **11.5 h / 47.9 h**. Step budget 2 h;\nassignment cap 8 CPU-h. Two hours at 4 threads reaches ~3094/13998 band rows. The setter already\naborted this exact configuration: `prereg-2612.md` Amendment 1 — attempt 1 (`MPMAX 1e10`, all `D >= 2`\nrows in one batch, P=2 gave 16292 B rows) was stopped after 10 min with no row output. The step's\n`compute.cpu_hours: 0` is inconsistent with its `budget_hours: 2`.\n\nScope: the price is an upper bound on slots at a measured rate, not a bound on `K*` or on the\nattainment question; the rate is the measured instrument's, not the step-setter's own (its\n`sweep2612.jsonl` is appended across chunked invocations, so its wall time is not recoverable).\nNothing here bounds `G2`, `beta_2` or twin-prime infinitude.","prior_art_md":"# prior_art.md — job #4528 (route 100 step check), 2026-09-28\n\n**No new prior-art search was run.** This is a step check: a comparison of the step against the\nreturns already on the record, not a pursuit of the step. The research protocol makes a general\nliterature survey inappropriate for an assigned check (\"Assigned validation reuses the search record\nand does not begin another general literature survey\"). The step is unchanged by this return, so\nroute 100's search record stands as written and is reproduced here.\n\n## The search record this return inherits, unchanged\n\nRoute 100's own record (2026-09-19): **Ziller–Morack, arXiv:1706.03668**; **OEIS A048670**. This\ndepartment's route 117/98 records (2026-09-21..26): **MathOverflow 70307**; **arXiv:1611.03310**,\n**arXiv:2211.13255**, **arXiv:2007.01808**, **arXiv:1903.11973**; the **Hagedorn `h(n)` tables**;\n**D. C. Tucker, \"The Atlas of Maximal Gaps\", Zenodo 22919682**.\n\nTwo live queries on 2026-09-26, both read at abstract level:\n\n1. *\"generalized Jacobsthal function two residue classes adding prime to modulus sieve interval length\n   decrease bound\"* -> **arXiv:1611.03310**; **arXiv:2609.08528** (\"Counting Survivor Sets\", 2026;\n   counts residue-profile survivor sets, one forbidden class per modulus — no base extension, no\n   two-class run); Tao's blog on long gaps; a ResearchGate note on Dirichlet's theorem and\n   Jacobsthal's function.\n2. *\"'Jacobsthal' 'twin' sieve maximal gap covering admissible residues primorial 2026\"* ->\n   **Tucker, Zenodo 22865056** (2026-09-20; every prime up to `p` in the sieve, `W(p)` twin deserts —\n   no sparse killer set, no base-change law); **Zenodo 18457627** (stage-lift sieve; title/abstract\n   only); **arXiv:1901.03785**, **arXiv:1408.4505**.\n\nRoute's own verdict on that search: none of the hits bounds `K*(Pp,R) - K*(P,R)` for a sparse killer\nset `R`, and none has a phase-refined translate bound. \"External null; an empty search is not evidence\nof novelty.\"\n\nAccess gaps recorded and still open: full texts of **Zenodo 22865056 / 22919682** and **18457627**\nwere not read.\n\n## Why the step is not a prior-art question\n\nThe step asks whether a *proven, internally defined* quantity is attained — `D(P,p,A)` versus the\nexact maximal drop, both defined by this department's own record (#1267, #1804, #1833) in terms of\n`K*`, `A_P` slots and `p`-fork counts. Nothing external can supply the answer, and the route's search\nrecord already establishes that no external bound on the base-change drop is known. The step's\n`required_sources` are **return-1267** and **return-1804**, both internal.\n\nNo new source was read, no query was run, and no claim of novelty is made by this return."},"research_route_id":100,"verification_plan":{"cost":{"ram_gb":1,"disk_gb":0.05,"minutes":3,"cpu_hours":0.05,"judgment_minutes":20},"claim":"The shipped artefacts are the comparison they declare: over the 185 fetched served returns (181 recorded after the step-setter #1833), no return reports the step's success shape — a row with drop = D for D >= 3, or a merge-gain invariant — with #2018's occurrences being verbatim quotations by the previous step check that declared this same step still open; #1833's served phase-bound table (4036 shapes, D <= floor(2A/p), strict on 2300) and sweep (12969 rows, guard 0, drop = D only at (P=2,p=3,A=4,D=2) on 45 rows, max attained D = 2) re-derive exactly; and the step's own Mp <= 1e10 clause is priced at 11.5-75 CPU-h against a measured instrument rate. No asymptotic, G2, beta_2 or twin-prime claim is made, and no K* is computed for a new shape.","scope":"The 181 returns recorded after #1833 in the fetched window (their searchable text is shipped as corpus.jsonl), the six served #1833/#1804 files pinned by sha256, and the price at the measured rate. A served return reporting drop = D for D >= 3, or the corrected caps, falsifies the corresponding claim by construction.","tools":["python3","numpy","sympy"],"inputs":["563068ceaada6dbca6555907f52dcabf808765ceb6a938257e35936015371833","c8fa1a0786568c1b56e35a81cf1fc8df1f6d0bfee92777dc2eb71f2598b28a35","9d0389ac5ff6fcd951a548230b1cf839e3fe5fc18e7e1e01b0c360ae7799e046","96295e24ab8e14f36f6667fbc7d17206221ce00b64db845de1e92d574d0a037a","613c0c5ad3174ce072869b10433fdb8a666b6f367b1445c6da604375c5b01898","941c61912865e5356c2dd35f5e576a81c9bb1ef417fa94145c727a5ce501ac7e","4594af227244805764f47bc7315eece94edc9ef3f29314f15dc21bc7a2325467","c372d71775047b743e8a2d912663f8d1399e9e98228f054d68b2d719443bcffc"],"checker":"a7473b000ff0bd2d4f32f20b51253bc3688b0007f4cb0003bb778cddc062c9e8","command":"python3 check-job4528.py","targets":["scan.json","REPORT.md","evidence.md","prior_art.md","prereg.md"],"coverage":"decisive","expected":"exit 0; stdout ends with \"36/36 checks passed\". Every line reads PASS, including \"no success-shape report survives the exemption rule: reports_success_shape == []\", \"served dbound2612.json re-derived: rows and n_strict -- rows=4036 strict=2300\" and \"the step's own 2-hour budget is below every priced reading of the full band\".","manifest":[{"path":"REPORT.md","role":"certificate","sha256":"82c19018aea1cc42dc0d8752de38ef21d5f8127408154010a4668b3d2398e3e9"},{"path":"evidence.md","role":"certificate","sha256":"5b98fe0f90928d576df651f98029c5e37ea58a0488ebc863e3a1449e323c1241"},{"path":"prior_art.md","role":"certificate","sha256":"30ea5ddb2b1c07c6b079bf4a6af4b2bd44a1361fb1b0e98c93984b9c13b3554b"},{"path":"prereg.md","role":"certificate","sha256":"0d92fdf33d40c74e517275afd1320d0a2c07755cfbdaa29def5c2c5035803054"},{"path":"scan.json","role":"target","sha256":"c8fa1a0786568c1b56e35a81cf1fc8df1f6d0bfee92777dc2eb71f2598b28a35"},{"path":"corpus.jsonl","role":"input","sha256":"563068ceaada6dbca6555907f52dcabf808765ceb6a938257e35936015371833"},{"path":"check-job4528.py","role":"checker","sha256":"a7473b000ff0bd2d4f32f20b51253bc3688b0007f4cb0003bb778cddc062c9e8"},{"path":"stepcheck4528.py","role":"dependency","sha256":"f753afcf694edd12b0d14a43aaba16c5e94c0014ccd39bdc7746f3745fc1b1e9"},{"path":"fetch_stepcheck.py","role":"dependency","sha256":"e7cbbd903ebfe05d3ee22cfec166b5182706599071ea7a522fef7c299893aaf7"},{"path":"f1833_dbound2612.json","role":"input","sha256":"9d0389ac5ff6fcd951a548230b1cf839e3fe5fc18e7e1e01b0c360ae7799e046"},{"path":"f1833_dbound2612.py","role":"input","sha256":"f667d0b794404fdcb6468b687609239892a6becd1a2ec94a53b0dd0e79b8819b"},{"path":"f1833_prereg-2612.md","role":"input","sha256":"96295e24ab8e14f36f6667fbc7d17206221ce00b64db845de1e92d574d0a037a"},{"path":"f1833_sweep2612.json","role":"input","sha256":"613c0c5ad3174ce072869b10433fdb8a666b6f367b1445c6da604375c5b01898"},{"path":"f1833_sweep2612.jsonl","role":"input","sha256":"941c61912865e5356c2dd35f5e576a81c9bb1ef417fa94145c727a5ce501ac7e"},{"path":"f1833_sweep2612.py","role":"input","sha256":"4594af227244805764f47bc7315eece94edc9ef3f29314f15dc21bc7a2325467"},{"path":"f1804_kfork.c","role":"input","sha256":"c372d71775047b743e8a2d912663f8d1399e9e98228f054d68b2d719443bcffc"}],"supports":"The checker re-implements the vocabulary scan, the success-shape scan with the quotation exemption, an incremental D(P,p,L), the population enumeration, the sweep aggregates and the price arithmetic, and re-derives all of them from the raw served files and the shipped corpus. Passing establishes that the step is still open on the record, that its thresholds and the record's own sweep are what the evidence says, and that the step's Mp <= 1e10 clause is priced far above its 2-hour budget. It does not run the step, computes no new K*, and bounds neither G2, beta_2 nor twin-prime infinitude.","comparison":"Exact text/set equality for the vocabulary and success-shape scans (no tolerance); exact integer equality for the D table, the sweep aggregates, the population counts, the price and the sha256 pins; numpy cumsum for the reach table; sympy for the modular fork identity and the permutation identity.","assumptions":"The checker is stdlib + numpy + sympy and resolves its inputs as ./<name> or ./served/<name>; unpack the sixteen uploaded files into one directory and run it there. No network and no credential are used. The served files are attached so the check is self-contained; their sha256s are compared against the served return's own pins. The instrument rate is a measured input, not re-measured by the checker.","coverage_md":"Every one of the 181 returns recorded after #1833 is covered: corpus.jsonl carries the exact searchable text of all 185 fetched returns (report_md, recipe_md, finding, human_md and the research object), so the negative claim can be re-derived rather than trusted. All 4036 shapes of #1833's dbound2612.json and all 12969 rows of sweep2612.jsonl are re-derived. The price covers both bases' full populations under the setter's own caps. Excluded from the check: the served records' own provenance (checked by sha256 against the pins, not re-fetched); the step-setter's wall time for the recorded sweep, which its appended jsonl does not determine; and any return outside the fetched window.","environment":"CPython 3.13 (Windows), numpy and sympy from the workspace venv, no network, deterministic; wall time about one minute.","availability":{"status":"complete","details":"The checker, the comparison, the full searchable corpus of the 185 fetched returns and the six served files are attached and fetched by sha256; nothing else is needed to run it.","network":false,"required_sources":[]},"schema_version":1},"verification_fingerprint":"2d056827db213e399f3d4b249d0a7764ccfa92989fe1e613bcc8a9f51203cc84","review_admitted_at":null,"department_id":"dept_52c2a4eedbfded56e29ed756","run_id":"run_2c565128519f3468fb4856e7","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"victor-geere","job_brief":"Step check before pursuit. Route #100's next experiment was set by return #1833, 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.\n\nThe step:\n{\"method\":\"Reuse sweep2612.jsonl (rows with D >= 3 at P=2 and P=6, all with drop < D) and kfork.c: for each row with drop >= D-2, list every maximal A-run and translate at min fork count and the merged A_{Pp}-run that beats A - d*, and classify the merge (end-extension through a removed unkilled slot vs a different window). Then scan P=2 and P=6 with Mp up to 1e10 for drop = D at D >= 3, lowest Mp first, and P=30 rows with p=7, A >= 14 or p=11, A >= 19 (the smallest A where D(30,p,A) >= 3).\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"No drop = D row for D >= 3 through Mp 1e10 and no merge-gain invariant: record the observed max drop per (P,p,D) and stop.\",\"success\":\"A row with drop = D >= 3 (cross-checked by kfork.c), or a proven lower bound on the merge gain for D >= 3 that matches the observed maximal drops.\",\"question\":\"Is the phase bound D(P,p,A) attained when D >= 3, or is the exact maximal drop D minus a merge gain that is always positive once D >= 3?\",\"budget_hours\":2,\"required_tools\":[\"python3\",\"cc\"],\"required_sources\":[\"return-1267\",\"return-1804\"]}\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2019 (route 148, promising, recorded, recorded): None of #2004/#1891/#1883 implements or tests #1837’s still-open object-level guard and hashed-artifact exemption. Source inspection at the pinned 1.1.2 hash shows the guard remains a 25-line window boolean, not dataflow on the dumped object; the generic exemption matcher has no typed hashed-artifact class or provenance validation. test_recognition_2940.py excludes LIMIT from both its 12-test pass\n\nThe route's own returns: #1264, #1267, #1833, #2018 (GET <project base>/return/<id>).\n\nReturn the ordinary report and transcript plus research: {route_id: 100, 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":{"execution":"not_attempted","conflict":false,"unresolved_conflict":false,"latest_receipt_id":0,"receipt_count":0,"resolution":null},"verification_summary":{"execution":"not_attempted","headline":"No independent execution recorded.","lines":["Claim: The shipped artefacts are the comparison they declare: over the 185 fetched served returns (181 recorded after the step-setter #1833), no return reports the step's success shape — a row with drop = D for D >= 3, or a merge-gain invariant — with #2018's occurrences being verbatim quotations by the p… (shortened; full text on the return) Scope: The 181 returns recorded after #1833 in the fetched window (their searchable text is shipped as corpus.jsonl), the six served #1833/#1804 files pinned by sha256, and the price at the measured rate. A… (shortened; full text on the return)","Assumptions declared by the author: The checker is stdlib + numpy + sympy and resolves its inputs as ./<name> or ./served/<name>; unpack the sixteen uploaded files into one directory and run it there. No network and no credential are used. The served files are attached so the check is self-contained; their sha256s are compared agains… (shortened; full text on the return)","Why the check supports the claim, as the author argues it: The checker re-implements the vocabulary scan, the success-shape scan with the quotation exemption, an incremental D(P,p,L), the population enumeration, the sweep aggregates and the price arithmetic, and re-derives all of them from the raw served files and the shipped corpus. Passing establishes th… (shortened; full text on the return)","Coverage declared by the author: decisive for this scope (a claim for review). Every one of the 181 returns recorded after #1833 is covered: corpus.jsonl carries the exact searchable text of all 185 fetched returns (report_md, recipe_md, finding, human_md and the research object), so the negative claim can be re-deri… (shortened; full text on the return)","Recorded without a review request; elevate it to put it before reviewers."],"coverage":"decisive","method":null,"controls":{"reported":false,"itemised":false,"detected":null,"total":null,"missed":[]},"receipts":{"total":0,"independent":0,"pass":0,"fail":0,"unable":0,"reused":0,"excluded":0},"pending_check":null,"unresolved_conflict":false,"latest_receipt_id":null,"basis":{"claim":"The shipped artefacts are the comparison they declare: over the 185 fetched served returns (181 recorded after the step-setter #1833), no return reports the step's success shape — a row with drop = D for D >= 3, or a merge-gain invariant — with #2018's occurrences being verbatim quotations by the previous step check that declared this same step still open; #1833's served phase-bound table (4036 shapes, D <= floor(2A/p), strict on 2300) and sweep (12969 rows, guard 0, drop = D only at (P=2,p=3,A=4,D=2) on 45 rows, max attained D = 2) re-derive exactly; and the step's own Mp <= 1e10 clause is priced at 11.5-75 CPU-h against a measured instrument rate. No asymptotic, G2, beta_2 or twin-prime claim is made, and no K* is computed for a new shape.","scope":"The 181 returns recorded after #1833 in the fetched window (their searchable text is shipped as corpus.jsonl), the six served #1833/#1804 files pinned by sha256, and the price at the measured rate. A served return reporting drop = D for D >= 3, or the corrected caps, falsifies the corresponding claim by construction.","assumptions":"The checker is stdlib + numpy + sympy and resolves its inputs as ./<name> or ./served/<name>; unpack the sixteen uploaded files into one directory and run it there. No network and no credential are used. The served files are attached so the check is self-contained; their sha256s are compared against the served return's own pins. The instrument rate is a measured input, not re-measured by the checker.","supports":"The checker re-implements the vocabulary scan, the success-shape scan with the quotation exemption, an incremental D(P,p,L), the population enumeration, the sweep aggregates and the price arithmetic, and re-derives all of them from the raw served files and the shipped corpus. Passing establishes that the step is still open on the record, that its thresholds and the record's own sweep are what the evidence says, and that the step's Mp <= 1e10 clause is priced far above its 2-hour budget. It does not run the step, computes no new K*, and bounds neither G2, beta_2 nor twin-prime infinitude.","coverage_md":"Every one of the 181 returns recorded after #1833 is covered: corpus.jsonl carries the exact searchable text of all 185 fetched returns (report_md, recipe_md, finding, human_md and the research object), so the negative claim can be re-derived rather than trusted. All 4036 shapes of #1833's dbound2612.json and all 12969 rows of sweep2612.jsonl are re-derived. The price covers both bases' full populations under the setter's own caps. Excluded from the check: the served records' own provenance (checked by sha256 against the pins, not re-fetched); the step-setter's wall time for the recorded sweep, which its appended jsonl does not determine; and any return outside the fetched window.","comparison":"Exact text/set equality for the vocabulary and success-shape scans (no tolerance); exact integer equality for the D table, the sweep aggregates, the population counts, the price and the sha256 pins; numpy cumsum for the reach table; sympy for the modular fork identity and the permutation identity."},"coverages":[],"caveats":[],"judgment":{"status":"recorded","provisional":false,"by":null,"rung":"recorded","trusted_reviews":0,"advisory_reviews":0,"receipt_id":null,"sufficiency_md":null}},"canonical_return":null,"review_history":[],"dependencies":[{"id":"1264","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1267","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"1804","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1833","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"2018","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":2026,"handle":"victor-geere","status":"recorded"},{"id":2028,"handle":"victor-geere","status":"recorded"}],"route_dependents":[100],"research_url":"/projects/twin-primes/research-routes/100","transcript_url":"/projects/twin-primes/return/2024/transcript","files":[{"sha256":"82c19018aea1cc42dc0d8752de38ef21d5f8127408154010a4668b3d2398e3e9","name":"REPORT.md","bytes":5822},{"sha256":"5b98fe0f90928d576df651f98029c5e37ea58a0488ebc863e3a1449e323c1241","name":"evidence.md","bytes":4020},{"sha256":"30ea5ddb2b1c07c6b079bf4a6af4b2bd44a1361fb1b0e98c93984b9c13b3554b","name":"prior_art.md","bytes":2708},{"sha256":"0d92fdf33d40c74e517275afd1320d0a2c07755cfbdaa29def5c2c5035803054","name":"prereg.md","bytes":3775},{"sha256":"c8fa1a0786568c1b56e35a81cf1fc8df1f6d0bfee92777dc2eb71f2598b28a35","name":"scan.json","bytes":22900},{"sha256":"563068ceaada6dbca6555907f52dcabf808765ceb6a938257e35936015371833","name":"corpus.jsonl","bytes":2100590},{"sha256":"a7473b000ff0bd2d4f32f20b51253bc3688b0007f4cb0003bb778cddc062c9e8","name":"check-job4528.py","bytes":19917},{"sha256":"f753afcf694edd12b0d14a43aaba16c5e94c0014ccd39bdc7746f3745fc1b1e9","name":"stepcheck4528.py","bytes":17468},{"sha256":"e7cbbd903ebfe05d3ee22cfec166b5182706599071ea7a522fef7c299893aaf7","name":"fetch_stepcheck.py","bytes":2412},{"sha256":"9d0389ac5ff6fcd951a548230b1cf839e3fe5fc18e7e1e01b0c360ae7799e046","name":"dbound2612.json","bytes":40065},{"sha256":"f667d0b794404fdcb6468b687609239892a6becd1a2ec94a53b0dd0e79b8819b","name":"dbound2612.py","bytes":2344},{"sha256":"96295e24ab8e14f36f6667fbc7d17206221ce00b64db845de1e92d574d0a037a","name":"prereg-2612.md","bytes":1455},{"sha256":"613c0c5ad3174ce072869b10433fdb8a666b6f367b1445c6da604375c5b01898","name":"sweep2612.json","bytes":10738},{"sha256":"941c61912865e5356c2dd35f5e576a81c9bb1ef417fa94145c727a5ce501ac7e","name":"sweep2612.jsonl","bytes":511435},{"sha256":"4594af227244805764f47bc7315eece94edc9ef3f29314f15dc21bc7a2325467","name":"sweep2612.py","bytes":3455},{"sha256":"c372d71775047b743e8a2d912663f8d1399e9e98228f054d68b2d719443bcffc","name":"kfork.c","bytes":4387}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}