{"id":2504,"job_id":5274,"problem_id":1,"lane_id":32,"type":"explore","user_id":34,"model":"deepseek-v4-flash-fast","provider":"deepseek","report_md":"# Route 185 step check at revision 4: the L/S subtype step is still open — the new candidate (route 219) audits the same bounds on a third axis\n\n**Job #5274**, type `explore`, stage `first_look`, route **185** revision **4**, lane dir-558, general\nmode. **Outcome:** `promising`. **Compute:** 0 CPU-h (record comparison only; no producer rerun, no\nreturn's number recomputed). **Author rung:** measured for the served-record facts; the outcome is a\nreading of served text.\n\n## 0. What was asked\n\nStep check before pursuit. The held pursuit is the route's own remaining experiment, and the server\nstates the hold in this assignment's reason: *\"pursuit job #5092 is held: its step is first compared\nwith the returns on record\"*. Decide whether the returns on record already answer that step —\n`known`, `progress`, or `promising`. The brief adds: reuse the earlier step check **#2489** and compare\nonly the new candidates listed.\n\nThe step (copied below into `next_step.json`, and asserted equal to the served route step and to the\nstep embedded in the issued brief): with the recorded values taken as pinned inputs, apply a **half-unit\npredicate** — a row with an endpoint offset is **L** iff `2*offset` is an integer in the row's own unit\n(mesh cell for PrimeGaps186, the tail's integer origin for the tail rows); a row with no endpoint offset\n(`(H_w)`, #1973) is **S** only if the opposing-domain value is nonzero with an unbounded relative effect\nor a non-vanishing witness, otherwise untyped. Add that one predicate to a **copy of `check_af.py`**,\nemit one typed row per file for the four remaining rows — smooth-APS `(H_w)` prefix of #1983,\nPrimeGaps186 cell law of #2074, redteam level offset of #2013, `(t,c)=1` projection of #1973 — together\nwith the four tail rows, and say which rows route 182 still lacks.\n\n## 1. The record at this check\n\nRoute 185, served `GET /research-routes/185` (HTTP 200, snapshot `snap-route185.json`): `revision` **4**,\n`state` **active**, `last_return_id` **#2489**, `obstacle` null, `basis` = #2288, #2297, #2378, #2489,\n`dependencies` = #2074 (accepted/verified) plus #2297, #2302, #2312, #2367, #2378. Its job list carries\nthis assignment **#5274** as an assigned `first_look`, the earlier step check **#5264** as returned, and\nthe held pursuit **#5092** (`pursue`) — which the route record shows **expired**, so no compute has been\nspent on the step. `#2489`'s own served snapshot (`prev-route185-rev3-from-2489.json`, byte-identical\ncopy of the file served with that return) shows it ran at `revision` 3 with `last_return_id` **#2378**;\nits outcome was `promising`, and its report says the step is **\"still open\"**. Its conclusions are\nreused here, not re-derived.\n\nReturns recorded after #2489, at this run's cutoff (21:46:38Z, the stamp in `served/window.json`):\n**#2490–#2503** — fourteen returns on routes 184, 201, 202, 200, 219, 158, 220, 143, 176, 52, 25, 15,\n198 and 45. The set was discovered live rather than taken from the brief: the first probe (21:28Z)\nfound nothing above #2495, and #2496 … #2503 appeared one by one while this check ran. The prober walks\n#2490…#2540 and the window ends in **37 consecutive absent ids**, so the set is closed at the top.\nExactly **one** of the fourteen shares route 185's premises: **#2494** (cites #1983, #1973, #2074,\n#2013, #2008, #2011, #2014, #1976, #2215 — nine of the step's own inputs). Seven of the fourteen\n(#2497–#2503, routes 143, 176, 52, 25, 15, 198, 45) are themselves step checks, every one on a route\nunlinked to this one; they are compared here because they were recorded during this check.\n\nThe brief's candidate line is **truncated mid-sentence** by the brief generator — it ends\n`…while the true squared discrepancy has`. That sentence was recovered from the served candidate itself\n(`snap-return2494.json` → `research.evidence_md` continues `has liminf ≥ (809/2400)²/6`), so the\ncomparison is against the return, not against the truncated brief.\n\n## 2. Comparison — the candidate does not answer the step\n\n**#2494** (`deepseek-v4-flash`, lane adversarial, job #5269; status recorded, `final_rung` recorded,\n`author_rung` conjectured, `review_admitted_at` null). It is a **cross-lane synthesis** whose outcome is\n`proposed`: it opens route **219**, *\"Normalization-and-domain conformance ledger for route 182/204\nconditional bounds\"* (route 219: `revision` 1, `state` proposed, `origin_return_id` #2494,\n`last_return_id` #2494). Decisive quotations by substring:\n\n- `# Cross-lane synthesis — the route-182 correction layer` (its title), with outcome **`proposed`**\n  (\"a new route, recorded without review\").\n- `All eight named returns list route **182** in `route_dependents`; the majority also list **185** and\n  **204** (7 and 6 of 8 respectively).` — the linkage to this route is real and is why it is a candidate.\n- `Both repairs replace a **normalization applied to a completed object** by the object's **actual index\n  domain**.` — its one **conjectural** link (#1983's fixed-modulus obstruction and #1973's norm/domain\n  correction), explicitly labelled conjectural in its own text.\n- Its step (route 219's `next_step`, verbatim): `Do the conditional bounds currently cited by routes\n  182/185/204 each state an explicit summation domain with outer indices coprime to the ambient modulus,\n  and use interval increments rather than a reciprocal-weighted prefix divided by E^2?`\n\nThat question is a **different question**. Route 185's step types four boundary *constants* by whether\nthe boundary term is a bounded half-unit lattice shift (L) or a change of object (S); route 219 scores\nconditional *bounds* against two conformance conditions. #2494 applies no half-unit predicate, extends no\n`check_af.py`, emits no typed row, states no L/S type for any of the four rows, and supplies neither a\nsha256-pinned locator for the four rows' own source files (#1983 `dd0c07a3…`, #1973 owning note\n`f6b0203a…`, PrimeGaps186 commit `61340d0b…`, the #2013 record-mechanism note) nor an opposing-domain\nvalue for any of them. Nothing in it is a counter-instance either: no row is shown expressible as a\nbounded half-unit offset, so the split's weakest assumptions — the #2013 S-vs-L reading and whether\n#1973's norm change is a third subtype or a sub-case of S — remain unresolved, exactly as #2489 left\nthem.\n\n**Vocabulary scan** (the step's own terms: half-unit, half unit, 2\\*offset, own unit, check_af, l/s,\nlattice shift, support/level, support restriction, route 185, typed row, untyped, \"l iff\", \"integer in\nthe row\"; case-insensitive over every served string field):\n\n| return | route | step-vocabulary hits |\n|---|---|---|\n| #2494 | 219 (new candidate) | **0** |\n| #2490 / #2491 / #2492 / #2493 / #2495 / #2496 | 184 / 201 / 202 / 200 / 158 / 220 | **0** each |\n| #2497 … #2503 | 143 / 176 / 52 / 25 / 15 / 198 / 45 (step checks) | **0** each |\n| #2489 | 185 (earlier step check) | **127** |\n| #2378 | 185 (step setter, prior step check) | 45 |\n| #2297 | 185 (the four-row tail register) | 71 |\n\nThe vocabulary is real on this route and absent from every candidate. `check_cn.py` re-checks this scan\ntogether with the record facts: **62 checks, 0 fails, exit 0**; its control\n(`--corrupt`) plants a \"#2494 answers the step\" claim and a stale `last_return_id` and exits 1 with 2\nnamed failures.\n\n## 3. Meaning\n\nAround route 182 there are now three distinct columns on the same corpus, and only one of them is route\n185's. #2447/#2440 (route 204) add a **scope** column and state it is *\"a second column, not a\npartition\"* (#2489's comparison). #2494 (route 219) adds a **normalization-and-domain conformance**\naudit of the conditional bounds. Route 185's step adds a **subtype** column, decided by an arithmetic\npredicate on the offset. The three are orthogonal by their own texts; route 219's condition (ii) touches\nthe #1983 row and condition (i) touches the #1973 row, but it neither types them nor quotes an\nopposing-domain value, so the step it is adjacent to is not answered. An unchanged-step comparison on\nanother route is not new evidence, and this comparison is exactly that: it removes one candidate and\nadds nothing.\n\n## 4. Verdict\n\n**`promising`.** The step is still open; `next_step.json` is route 185's `next_step` copied exactly\n(asserted equal to both the served route step and the brief's step, `check_cn.py`). `depends_on` is the\nstep setter #2378, the returns whose recorded values the step uses as pinned inputs (#2297, #2367,\n#2312, #2302, #2074), and the earlier step check **#2489** whose conclusions this return reuses. The\nstep's own input set is unchanged: the comparison removes a candidate and adds nothing to it.\n\n## 5. Scope and what is not claimed\n\nThe cutoff is the prober's own stamp; a return recorded after it is outside this comparison, and the\nprober's window (#2490…#2540, 37 ids vacant above the top) is what makes the set closed rather than\nassumed. This is a comparison of served records, not mathematics. Values quoted from other returns are theirs and\nare not recomputed here; no computation is run and no producer is rerun. Nothing here bounds `G₂`, `β₂`\nor twin primes, and no arithmetic claim changes. Route 185 stays `active` and the held pursuit goes back\nout with this note.\n\n## 6. Unresolved obligations\n\nNo `request_review` (an explore is recorded without review; the step-check schema adds no\n`verification_plan`). The earlier step check's open item — that the compared returns never hold the step\nagain — is respected: this return compares only the candidates recorded after it. One line for the\nperson: no action needed; the pursuit can be handed out again.\n","patch":null,"cpu_hours":0,"hashes":{"0102bbac4960fbc69c279ec38976bc9ee8c1db8f46b9d22aa6eec782bc14118a":"recipe_cn.md","0209586b55e800a652dfeb836781e21b0de9cd154f57065839773b2cd6ddd372":"snap-route182.json","0aa73c58a2fe06565ee9e0044255143d79c6a23651aeef2386b757763bafc4e3":"evidence_cn.md","19946280d879bb1cd7e78ea47e6f4e10c91172c9701b38eead5c6de5c7bf893e":"api.py","1d41fcc336991e3a46b36981aa8d5d4ec23435c29a497cab6e81a29d175a4cf4":"next_step.json","22f9bf0597df1df5045d89c6dddaa3b6fc76bfb0c2f6c8d654546668dc488083":"snap-return2496.json","2f59ae9e67ae3a0dec897d0bb64977f9330691bc5300135e76ac4844a062c397":"build_transcript_cn.py","2f66b94c12a52e59706d4bf6945509865bc0a8607631bca909ef5c7222d14bc8":"snap-return2490.json","3b22c0c4f02e191a20130a27a60dd2e337a502d0489f993aa8e3ea54260da880":"snap-return2495.json","3dcf0f9cc035824e63e77fd8208ef4356d5eeecd312d1d88186072ca61ad1cec":"snap-return2503.json","3f91e466673fd4cd0d6a3938de704331f3ad84c18ee758d28e0d12cec8207582":"fetch_cn.log.json","5032432e450029faccc1221d5fa0c5883d88755a3c1910ff00d1e01caf3e0f2e":"transcript.cn.final.jsonl","51f979d89f67f465ff824ea07bb4e68ec5e6e7cc75801d4ff98f64893104196d":"prior_art_cn.md","5596315847150931d32b34821f7354c150eb4340e6bf7a113cc2c0abf5489a00":"mk_next_step.py","56ab6a87a7a62c8b50f8dc0895f4e1637f43877d7842b4b3af1e0e4cd4c57910":"brief-step.json","59873a1cfb3554d7f575a5392bfad05da84da4fb8f9b15cdcd6bd1faec2d75df":"check_cn.out","5b7bed40ae39b5fca1fabe23854808031230dc06947871d5b923cc30e430d3dc":"snap-return2500.json","5f62e418d46450b91b65f68bdbeff4797a238a22895e10da885debc9489ffec4":"snap-return2493.json","6851733605c110ea4121c93ed64eed165ae9d6f5b77abc0f87e9f55edbbe4bf0":"check_cn.control.out","6876900cc6d1dbd01f2014a83f82c0ab2c6cf63b746b7e88b1c8b7d25042ce65":"report_cn.md","68c50c0e6879cd4217d545cd11d6f4041fd7dbb06b08207021634ab05f6a3b77":"snap-return2492.json","6c865627693033544567305dea7b015d67bd7547f7c9d3cbba87e3ae2cb93a07":"snap-return2499.json","76defcd17bd7bd019e0ba0def151f2de7553064805c8b602d44f1187c2680f47":"snap-route219.json","79584b74a7a180542c32f23754f2eff7bb278df79a37407153868510708e41d6":"check_cn.py","7b2267f30d0a977cfc6b706d34841c413e3a78db7e7746333f12426be736d004":"snap-return2489.json","83560f9f0b9b33a36f1ee69900a2da5c13ad03bb814043e9035132e62b0eec5d":"snap-return2491.json","8778db64f99f4a5228ee2330958fcaf3b87a1260ab06d5f129e029e048f42ef7":"snap-return2497.json","8ee48e7a8f8245991478d9a319ff5f21201120cb118f020a5a7abe432a236259":"snap-return2501.json","94e664fd0ff68cc947af4aa5e99abab4fa2f3f0ea5ee82068ed8b3eff42d7044":"snap-return2498.json","a3280851aa7f0cdebd0421a7e540ef8d3638240d76eabd62fcd6b003bfd1bbd4":"window.json","b6252aaa188456449d566e2b5276bd8567c7a59cb738383a7b70abaaec7b6438":"step_extract.py","c0de74ef01242c4ab06c2d69cbf5e0bcd5557c4aad9a399dd19f807f2d94781d":"snap-return2494.json","cd2754c7ba17f682abf4ea3ebed8fb457ee3e64e9704b00b4879f7ed4b0485ac":"prev-route185-rev3-from-2489.json","ce30139da4c3e8bf8c656f8155ef2ac117c335b1ea0ba2d2548aa936a0c0f5e1":"snap-return2502.json","ce4d758a8c9832928343606815eb1ee7c22b698639292eb1f2d2ddf47eb36093":"brief-candidates.txt","f11d899449d9541898a65f9d3a6cc593e6df047279186cbb2d30431122973de2":"fetch_cn.py","f83fc291bcb8f145c60576fdbc011e9a058b451b911c53b55dcd2bfed0996277":"probe_window.py","fea7ee78b0b912ddaa682cb39e0f770d1d8c75d842bee8680f4666bd97527566":"snap-route185.json"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-07T21:51:08.208Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2378,2489,2494,2496],"messages":[]},"tokens":{"log":"custom","input":392781,"models":{"deepseek-v4-flash-fast":159106},"output":159106,"source":"custom-jsonl","entries":1,"cache_read":25705600,"cache_write":0,"observed_models":["deepseek-v4-flash-fast"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — job #5274, route 185 step check at revision 4\n\nReproduce this return in ≤ 10 min, **0 CPU-h**, stdlib only. No producer is rerun; no return's number is\nrecomputed; no external search is run.\n\nAll commands from the run directory (`<run>`), which holds `.sah` (this run's credential) and `run.json`\n(registration headers). `work/api.py` is the already-tested authenticated GET/POST helper that sends\nthis run's real headers; it prints one JSON line per request and never writes an identifier into an\nartifact.\n\n1. **Fetch the served records** (read-only, journaled):\n   `python3 work/job5274/fetch_cn.py .`\n   → `work/job5274/served/snap-route185.json`, `snap-route182.json`, `snap-route219.json`,\n   `snap-return2489.json` … `snap-return2496.json`; logs `work/job5274/fetch_cn.log.json`. Every fetch\n   is HTTP 200.\n2. **Discover the candidate set and prove the window is closed at the top**:\n   `python3 work/job5274/probe_window.py .`\n   → `served/window.json` plus one `served/snap-return<id>.json` per existing return. It walks\n   #2490…#2540 and must end in a long run of absent ids (37 here, cutoff 21:46:38Z). Re-run this\n   immediately before submitting: the record is live. This run's first probe found nothing above\n   #2495, and #2496 … #2503 appeared one by one while the check ran.\n3. **Pin the step**: `python3 work/job5274/step_extract.py` pulls the step JSON out of the issued brief\n   (`ops/start-cc-next-1.json` → `response.body.brief_md`) into `brief-step.json` and the candidate line\n   into `brief-candidates.txt`; `python3 work/job5274/mk_next_step.py` writes `next_step.json` as\n   route 185's served `next_step`, copied exactly.\n4. **Run the checker**: `python3 work/job5274/check_cn.py` → `{\"checks\": 62, \"fails\": 0}`, exit 0\n   (`check_cn.out`). Control: `python3 work/job5274/check_cn.py --corrupt` → exit 1 with the two planted\n   failures \"route 185 last_return_id is the earlier step check #2489\" and \"#2494 answers the step\n   (CORRUPTED CLAIM)\" (`check_cn.control.out`). The checker imports no producer code and executes no\n   served code.\n5. **Read the verdict off the scan**: the step's own vocabulary (half-unit, 2\\*offset, check_af, L/S,\n   lattice shift, support/level, route 185, typed row, untyped, \"L iff\", \"integer in the row\") occurs\n   **0 times** in all fourteen returns recorded after #2489, the linked candidate #2494 included, against\n   127 hits in the earlier step check #2489 and 45/71 in the route's own #2378/#2297.\n6. **Confirm the outcome is `promising`**: the step is still open, so `next_step.json` is the route's\n   step copied exactly, and `depends_on` is the step setter #2378, the step's pinned inputs (#2297,\n   #2367, #2312, #2302, #2074) and the reused earlier step check #2489.\n\n**Acceptance case (the route's own):** `known` only if the compared returns name and settle the step;\n`progress` only if they answer part of it and yield a rewritten step; `promising` (this return) when the\nstep is open and is copied exactly. A reviewer checks step 5: zero step-vocabulary hits in the candidate.\n\n**Cost / time:** source reads and string comparisons only; `cpu_hours` ≈ 0. Measured here: the whole\nsequence is a few seconds of wall clock after the fetches.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"max","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-07T21:59:33.899Z","file_notes":null,"research":{"outcome":"promising","route_id":185,"next_step":{"method":"No producer rerun and no recomputation of any return's number. (1) Pin: for each row GET the served file by the digest or commit already printed on record (#1983 source dd0c07a3...; #1973 owning note f6b0203a...; PrimeGaps186 commit 61340d0b... with trialMesh = 2742997/258046918656; the served record-mechanism note for #2013), check sha256 of the bytes, and record file, version and line locator; an unreachable file is an explicit access obstruction, row left untyped. (2) Inputs quoted from the record, each checked by substring before use: (H_w) prefix constant C_7 = 0.906219 against interval-increment |B_7| = 7.2e-4 at E=2048 (#2367; #1983 bound 809/2400); #1973 c=12 fixture, singleton block (1+i)[e_12(10) - 1/6], nonzero (#2312); #2013 offset w0-u0 = 0.964541 (#2302); #2074 half-cell left/right sampling, +656.82 and -656.87 units of 1e-24. (3) In a COPY of check_af.py (the served check_af.py and check_y.py stay unchanged) add one predicate: a row with an endpoint offset is L iff 2*offset is an integer in the row's own unit (state the unit: mesh cell for PrimeGaps186, the tail's integer origin for the tail rows); a row with no endpoint offset ((H_w), #1973) is S only if the opposing-domain value is nonzero with an explicit relative effect that is unbounded or a witness that does not vanish, otherwise untyped. Do not infer a half-cell count for PrimeGaps186 from 656.8, which is in output units; take it from the construction. (4) Emit one typed row per file (source, version/locator, population, offset and denominator, type, opposing-domain value) together with the four tail rows, as a file of the return, and say which rows route 182 still lacks.","compute":{"ram_gb":1,"disk_gb":1,"cpu_hours":0},"failure":"A pinned file's bytes do not match the digest on record, or a row typed S in the contribution turns out expressible as a half-unit offset in its own unit (then the L/S split collapses for that row and the record says so), or the predicate cannot be applied without a producer rerun (then that row stays untyped with the exact gap).","success":"All four rows carry L or S, a sha-pinned locator and an opposing-domain value, or an explicit access obstruction, and the predicate's verdict on each agrees or disagrees in writing with the typing already stated in route 185's contribution.","question":"With the values already on record taken as pinned inputs (not recomputed), what typed L/S row does the half-unit predicate give for each of the four remaining boundary-constant rows (smooth-APS (H_w) prefix of #1983, PrimeGaps186 cell law of #2074, redteam level offset of #2013, (t,c)=1 projection of #1973), and can the rows be written next to the four tail rows for route 182's register?","budget_hours":0.5,"required_tools":[],"required_sources":[]},"depends_on":[2378,2297,2367,2312,2302,2074,2489],"evidence_md":"# Evidence — job #5274, route 185 step check at revision 4\n\nValues-free: no account token, attempt/session/launch/department identifier appears in this file or in\nany uploaded artifact.\n\n**Step setter and hold.** Route 185 (`research-routes/185`, GET 200): `revision` = **4**,\n`last_return_id` = **2489**, `state` = active, `obstacle` = null, `basis` = 2288/2297/2378/2489,\n`dependencies` = 2074 (accepted/verified), 2297, 2302, 2312, 2367, 2378. The brief's step equals\n`route185.next_step` exactly, and `next_step.json` is that object copied verbatim (`check_cn.py`\nre-derives both). This assignment's reason field states the hold: \"pursuit job #5092 is held: its step is\nfirst compared with the returns on record\"; the route's job list shows #5092 (`pursue`) expired, so the\nstep has never been executed.\n\n**Earlier step check, reused.** #2489 ran at `revision` 3 with `last_return_id` 2378 (its own snapshot, copy\n`prev-route185-rev3-from-2489.json`), returned **`promising`**, and says\nthe step is \"still open\". Its conclusions are reused, not re-derived.\n\n**Candidate set, complete to the cutoff (21:46:38Z, the stamp in `served/window.json`).** Returns\nrecorded after #2489: #2490 (route 184), #2491 (201), #2492 (202), #2493 (200), #2494 (219), #2495\n(158, pending), #2496 (220), #2497 (143), #2498 (176), #2499 (52), #2500 (25), #2501 (15), #2502 (198),\n#2503 (45) — fourteen, discovered live: the first probe found nothing above #2495 and the rest appeared\nwhile this check ran. The prober walks #2490…#2540 and the window ends in 37 consecutive absent ids.\nExactly one candidate shares route 185's premises (cites ∩ {1973, 1976, 1983, 2008, 2011, 2013, 2014,\n2074, 2215, 2297, 2302, 2312, 2367, 2378}): **#2494**, nine hits, with #1983, #1973, #2074, #2013 among\nthem. Seven candidates (#2497..#2503) are themselves step checks on unlinked routes; all are compared\nanyway.\n\n**What the candidate is.** #2494 (job #5269, lane adversarial, `final_rung` recorded, `author_rung`\nconjectured, not admitted to review): \"Cross-lane synthesis — the route-182 correction layer\",\noutcome **`proposed`**; it opens route 219, \"Normalization-and-domain conformance ledger for route\n182/204 conditional bounds\" (revision 1, state proposed, origin 2494). Its own step asks whether the\nconditional bounds cited by routes 182/185/204 state a coprime-index summation domain and use interval\nincrements rather than a prefix divided by E².\n\n**Why it is not the step (quotations by substring).** It applies no half-unit predicate, extends no\n`check_af.py`, emits no typed row and states no L/S type; it carries no sha256-pinned locator for the\nfour rows' source files (#1983 `dd0c07a3…`, #1973 owning note `f6b0203a…`, PrimeGaps186 commit\n`61340d0b…` with `trialMesh = 2742997/258046918656`, the #2013 note) and no opposing-domain value. Its\nlink is \"**conjectural**\" in its own text, and it says it did \"not verify that #1973's and #1983's\nobjects are the same window\".\n\n**Vocabulary scan** (step terms, case-insensitive over every served string field: half-unit, half unit,\n2\\*offset, own unit, check_af, l/s, lattice shift, support/level, support restriction, route 185, typed\nrow, untyped, \"l iff\", \"integer in the row\"): every candidate from #2490 to #2503 scores **0 hits**;\nthe route's own #2489 **127**, #2378 **45**, #2297 **71**. The vocabulary is real on the route and absent\nfrom every candidate, so no candidate is a counter-instance either.\n\n**Checker.** `check_cn.py` (stdlib only, imports no producer code, executes no served code): **62 checks,\n0 FAIL, exit 0**. Control `--corrupt` plants a \"#2494 answers the step\" claim and a stale\n`last_return_id` and exits 1 with **2 named failures**.\n\n**Scope.** Served-record comparison only; no producer rerun; no number recomputed. The cutoff is the\nprobe's stamp in `served/window.json`; quoted values are the other returns', not re-established.\nNothing here changes an arithmetic claim or bounds `G₂`, `β₂` or twin-prime infinitude.","prior_art_md":"# Prior art / search record — job #5274, route 185 step check at revision 4\n\nValues-free. This is a **record comparison**, so the internal prior art *is* the served return corpus\nfetched in this run. The brief scopes the search: reuse the earlier step check #2489, compare only the\nnew candidates, \"do not survey the whole project again\". No external literature search was run for this\nstep — the step proposes no new object, and its external prior art was searched when route 185 was\nproposed (#2288's two searches, 2026-10-06: the classical lattice `-1/2` renewal mechanism as the\nL-type exemplar, kernel-density endpoint-bias papers as the nearest estimator analogue, with the stated\ndifference that no source *types* project constants as lattice-shift vs support/level restriction).\n\n**Internal prior art compared for this check.**\n\n| return | route | what it holds | why it is not the step |\n|---|---|---|---|\n| **#2494** (the named candidate) | 219, new (origin) | Cross-lane synthesis of the eight-correction layer; proposes the \"normalization-and-domain conformance ledger\" and its step scores the conditional bounds cited by routes 182/185/204 against two conditions (coprime-index domain; interval increments vs prefix/E²) | a **conformance** column over conditional *bounds*. Applies no half-unit predicate, extends no `check_af.py`, emits no typed row, pins none of the four rows' source files, quotes no opposing-domain value; its #1983–#1973 link is labelled conjectural by its own text |\n| **#2496** (appeared after the brief was issued) | 220, new | Permutation-cloud normaliser confound shared by routes 184 and 31; read-and-connect proposal | a different object (estimator confound); disjoint premises; zero step vocabulary |\n| #2497 … #2503 (appeared during this check) | 143 / 176 / 52 / 25 / 15 / 198 / 45 | step checks: their held steps are unchanged and still open, each **promising** with its own step copied | other routes' steps; no shared premise; zero step vocabulary for this step |\n| #2490 / #2491 / #2492 / #2493 / #2495 | 184 / 201 / 202 / 200 / 158 | step check, rescue, pursuit and first-look returns on other routes | no shared premise with route 185; zero step vocabulary |\n| #2489 | 185 (earlier step check, reused) | The step is still open; the record builds a **scope** column (#2447/#2440), \"a second column, not a partition\" | conclusions reused, not re-derived; this check compares only what was recorded after it |\n| #2447 / #2440 (route 204), #2458 / #2455 (route 207) | 204, 207 | Exactly as compared at revision 3 by #2489: scope column; Norman-interface prior art for #1973 | already compared once; per the brief they are not re-surveyed here |\n\n**Nearest external record.** The candidate's own prior-art search is on record (Pascadi arXiv:2511.08445v2\nCor 8.1 / Thm 7.1; Harper arXiv:1208.5992v1 Thm 2 and arXiv:2412.19644v1 Thms 1–2), and #2494 states\nthat it did not fetch those full texts. It is not rerun here.\n\n**Exact difference from the closest prior work.** Route 219's ledger and route 204's scope column are\neach stated to be orthogonal to route 182's boundary column; the **subtype** column (L vs S, decided by\n`2*offset ∈ ℤ` in the row's own unit) is what neither supplies. Route 219's condition (ii) touches the\n#1983 row and condition (i) the #1973 row, so the two routes read the same two documents on different\naxes; route 219 asks whether a bound states its domain and normalisation, route 185 asks whether the\nboundary *constant* is a bounded half-unit shift or a change of object. No overlap is claimed, and no\nnovelty is claimed: this check adds no candidate, citation or dependency link."},"research_route_id":185,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_bd08e49ed9621cfd852f9b04","run_id":"run_7c10f6e2aeca33115a1c7d11","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"maxime-fleury","job_brief":"Step check before pursuit. Route #185's next experiment was set by return #2378, 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\":\"No producer rerun and no recomputation of any return's number. (1) Pin: for each row GET the served file by the digest or commit already printed on record (#1983 source dd0c07a3...; #1973 owning note f6b0203a...; PrimeGaps186 commit 61340d0b... with trialMesh = 2742997/258046918656; the served record-mechanism note for #2013), check sha256 of the bytes, and record file, version and line locator; an unreachable file is an explicit access obstruction, row left untyped. (2) Inputs quoted from the record, each checked by substring before use: (H_w) prefix constant C_7 = 0.906219 against interval-increment |B_7| = 7.2e-4 at E=2048 (#2367; #1983 bound 809/2400); #1973 c=12 fixture, singleton block (1+i)[e_12(10) - 1/6], nonzero (#2312); #2013 offset w0-u0 = 0.964541 (#2302); #2074 half-cell left/right sampling, +656.82 and -656.87 units of 1e-24. (3) In a COPY of check_af.py (the served check_af.py and check_y.py stay unchanged) add one predicate: a row with an endpoint offset is L iff 2*offset is an integer in the row's own unit (state the unit: mesh cell for PrimeGaps186, the tail's integer origin for the tail rows); a row with no endpoint offset ((H_w), #1973) is S only if the opposing-domain value is nonzero with an explicit relative effect that is unbounded or a witness that does not vanish, otherwise untyped. Do not infer a half-cell count for PrimeGaps186 from 656.8, which is in output units; take it from the construction. (4) Emit one typed row per file (source, version/locator, population, offset and denominator, type, opposing-domain value) together with the four tail rows, as a file of the return, and say which rows route 182 still lacks.\",\"compute\":{\"ram_gb\":1,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"A pinned file's bytes do not match the digest on record, or a row typed S in the contribution turns out expressible as a half-unit offset in its own unit (then the L/S split collapses for that row and the record says so), or the predicate cannot be applied without a producer rerun (then that row stays untyped with the exact gap).\",\"success\":\"All four rows carry L or S, a sha-pinned locator and an opposing-domain value, or an explicit access obstruction, and the predicate's verdict on each agrees or disagrees in writing with the typing already stated in route 185's contribution.\",\"question\":\"With the values already on record taken as pinned inputs (not recomputed), what typed L/S row does the half-unit predicate give for each of the four remaining boundary-constant rows (smooth-APS (H_w) prefix of #1983, PrimeGaps186 cell law of #2074, redteam level offset of #2013, (t,c)=1 projection of #1973), and can the rows be written next to the four tail rows for route 182's register?\",\"budget_hours\":0.5,\"required_tools\":[],\"required_sources\":[]}\n\nEarlier step check #2489: reuse its conclusions. Compare only the new candidates listed below and references needed to assess them; do not survey the whole project again.\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2494 (route 219, proposed, recorded, recorded): **Why this route is worth a bounded investment.** The two completed repairs it generalises were each accepted after independent review, and each invalidated a *previously usable* conditional bound in the same boundary-constant program that routes 182/185/204 consume: - #1983 (accepted, proven) removed (H_w) as an estimate at Q=7 — the bound \"tends to zero\" while the true squared discrepancy has\n\nReturn the ordinary report and transcript plus research: {route_id: 185, 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":[],"lean_statement_binding":null,"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"2074","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2297","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2302","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2312","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2367","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2378","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2489","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":2509,"handle":"maxime-fleury","status":"recorded"}],"route_dependents":[185],"research_url":"/projects/twin-primes/research-routes/185","transcript_url":"/projects/twin-primes/return/2504/transcript","files":[{"sha256":"6876900cc6d1dbd01f2014a83f82c0ab2c6cf63b746b7e88b1c8b7d25042ce65","name":"report_cn.md","bytes":9690},{"sha256":"0aa73c58a2fe06565ee9e0044255143d79c6a23651aeef2386b757763bafc4e3","name":"evidence_cn.md","bytes":4006},{"sha256":"51f979d89f67f465ff824ea07bb4e68ec5e6e7cc75801d4ff98f64893104196d","name":"prior_art_cn.md","bytes":3672},{"sha256":"0102bbac4960fbc69c279ec38976bc9ee8c1db8f46b9d22aa6eec782bc14118a","name":"recipe_cn.md","bytes":3249},{"sha256":"1d41fcc336991e3a46b36981aa8d5d4ec23435c29a497cab6e81a29d175a4cf4","name":"next_step.json","bytes":2835},{"sha256":"f11d899449d9541898a65f9d3a6cc593e6df047279186cbb2d30431122973de2","name":"fetch_cn.py","bytes":2710},{"sha256":"3f91e466673fd4cd0d6a3938de704331f3ad84c18ee758d28e0d12cec8207582","name":"fetch_cn.log.json","bytes":1733},{"sha256":"f83fc291bcb8f145c60576fdbc011e9a058b451b911c53b55dcd2bfed0996277","name":"probe_window.py","bytes":3729},{"sha256":"b6252aaa188456449d566e2b5276bd8567c7a59cb738383a7b70abaaec7b6438","name":"step_extract.py","bytes":2762},{"sha256":"5596315847150931d32b34821f7354c150eb4340e6bf7a113cc2c0abf5489a00","name":"mk_next_step.py","bytes":1069},{"sha256":"79584b74a7a180542c32f23754f2eff7bb278df79a37407153868510708e41d6","name":"check_cn.py","bytes":13678},{"sha256":"59873a1cfb3554d7f575a5392bfad05da84da4fb8f9b15cdcd6bd1faec2d75df","name":"check_cn.out","bytes":48},{"sha256":"6851733605c110ea4121c93ed64eed165ae9d6f5b77abc0f87e9f55edbbe4bf0","name":"check_cn.control.out","bytes":237},{"sha256":"56ab6a87a7a62c8b50f8dc0895f4e1637f43877d7842b4b3af1e0e4cd4c57910","name":"brief-step.json","bytes":2835},{"sha256":"ce4d758a8c9832928343606815eb1ee7c22b698639292eb1f2d2ddf47eb36093","name":"brief-candidates.txt","bytes":540},{"sha256":"2f59ae9e67ae3a0dec897d0bb64977f9330691bc5300135e76ac4844a062c397","name":"build_transcript_cn.py","bytes":13372},{"sha256":"5032432e450029faccc1221d5fa0c5883d88755a3c1910ff00d1e01caf3e0f2e","name":"transcript.cn.final.jsonl","bytes":8066},{"sha256":"19946280d879bb1cd7e78ea47e6f4e10c91172c9701b38eead5c6de5c7bf893e","name":"api.py","bytes":2463},{"sha256":"fea7ee78b0b912ddaa682cb39e0f770d1d8c75d842bee8680f4666bd97527566","name":"snap-route185.json","bytes":58827},{"sha256":"0209586b55e800a652dfeb836781e21b0de9cd154f57065839773b2cd6ddd372","name":"snap-route182.json","bytes":20406},{"sha256":"76defcd17bd7bd019e0ba0def151f2de7553064805c8b602d44f1187c2680f47","name":"snap-route219.json","bytes":20434},{"sha256":"a3280851aa7f0cdebd0421a7e540ef8d3638240d76eabd62fcd6b003bfd1bbd4","name":"window.json","bytes":3431},{"sha256":"cd2754c7ba17f682abf4ea3ebed8fb457ee3e64e9704b00b4879f7ed4b0485ac","name":"route185.json","bytes":47798},{"sha256":"7b2267f30d0a977cfc6b706d34841c413e3a78db7e7746333f12426be736d004","name":"snap-return2489.json","bytes":28334},{"sha256":"2f66b94c12a52e59706d4bf6945509865bc0a8607631bca909ef5c7222d14bc8","name":"snap-return2490.json","bytes":22239},{"sha256":"83560f9f0b9b33a36f1ee69900a2da5c13ad03bb814043e9035132e62b0eec5d","name":"snap-return2491.json","bytes":37555},{"sha256":"68c50c0e6879cd4217d545cd11d6f4041fd7dbb06b08207021634ab05f6a3b77","name":"snap-return2492.json","bytes":35265},{"sha256":"5f62e418d46450b91b65f68bdbeff4797a238a22895e10da885debc9489ffec4","name":"snap-return2493.json","bytes":27155},{"sha256":"c0de74ef01242c4ab06c2d69cbf5e0bcd5557c4aad9a399dd19f807f2d94781d","name":"snap-return2494.json","bytes":24227},{"sha256":"3b22c0c4f02e191a20130a27a60dd2e337a502d0489f993aa8e3ea54260da880","name":"snap-return2495.json","bytes":19148},{"sha256":"22f9bf0597df1df5045d89c6dddaa3b6fc76bfb0c2f6c8d654546668dc488083","name":"snap-return2496.json","bytes":15067},{"sha256":"8778db64f99f4a5228ee2330958fcaf3b87a1260ab06d5f129e029e048f42ef7","name":"snap-return2497.json","bytes":15267},{"sha256":"94e664fd0ff68cc947af4aa5e99abab4fa2f3f0ea5ee82068ed8b3eff42d7044","name":"snap-return2498.json","bytes":25281},{"sha256":"6c865627693033544567305dea7b015d67bd7547f7c9d3cbba87e3ae2cb93a07","name":"snap-return2499.json","bytes":12644},{"sha256":"5b7bed40ae39b5fca1fabe23854808031230dc06947871d5b923cc30e430d3dc","name":"snap-return2500.json","bytes":28320},{"sha256":"8ee48e7a8f8245991478d9a319ff5f21201120cb118f020a5a7abe432a236259","name":"snap-return2501.json","bytes":11874},{"sha256":"ce30139da4c3e8bf8c656f8155ef2ac117c335b1ea0ba2d2548aa936a0c0f5e1","name":"snap-return2502.json","bytes":32564},{"sha256":"3dcf0f9cc035824e63e77fd8208ef4356d5eeecd312d1d88186072ca61ad1cec","name":"snap-return2503.json","bytes":26608}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}