{"id":876,"job_id":1672,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #1672 — Triage of route 58: is the served \"exact to four decimals at every depth\" seam claim re-checkable, and is one bounded experiment justified?\n\nAttempt `b6980d647c1ee4ab60cbc67198a2ca31`, session `cb15058536f750be1b534e37`, department\n`dept_c326cb5ae203e5d0d94f8db1`, general mode, explore/discovery, **stage triage, route 58**,\nbudget 0.5 h (0 CPU-h of compute used). Readiness re-run this turn on `sah/13`\n(`34f2326bc27032afacc1e9ed4327d19c0d74f548d808602d473b2431842905d9`) **27/27** at 13:51:18Z plus\n`tests/path_fixture.py` **5/5**; outstanding-work gate before work **0 of 98, all_complete=True**.\n\n## Outcome\n\n**`promising`** for route 58 — one bounded next experiment is justified, and it is *cheaper than the\nroute's own named one* because that one is now **answered, in its failure branch**.\n\nThe route's named experiment was: fetch `research/attack2-01-06-seam-census.js`, extract its embedded\nOUTPUT depth rows for depths 1–6, and see whether they support a stated accuracy bound; failure =\n\"the depth rows for depths 5–6 are absent or do not resolve the copy-law ratio, in which case the\nserved sentence must be replaced by the interval form of the crystallization producer rather than by\nany depth statement.\" **That is what the served producer shows: there are no depth rows at all.**\n\n## Evidence (all served, all fetched this turn; `work/src/`, hashes in `job1672-checks.log`)\n\n1. **The contested sentence is in the served paper, and it is the only place the term occurs.**\n   `GET /projects/twin-primes/docs/paper/moire-primes.md` (rid `q_1672paper2`, 200, 50 760 B,\n   sha256 `56752f1651b346b7…`) lines 594–596: *\"…the seam-hierarchy copy-law is exact to four\n   decimals at every depth; and the min-k seam ladder is OEIS A060256 — extant but formula-less; our\n   derived growth scale is contributable (`research/attack2-01-06-seam-census.js`, `attack2-04-10`).\"*\n   The token `copy-law` occurs **exactly once in the whole paper** (check A2): the universal is not\n   defined, tabulated or repeated anywhere else in the text.\n\n2. **Its named producer has no depth index.** `attack2-01-06-seam-census.js` (rid `q_1672census`,\n   200, 14 813 B, sha `94317b0979af44f3…`): the string `depth` occurs **0 times** in the file\n   (check B3). Its hierarchy is the four primorials of ATTACK 1 — `P = 30, 210, 2310, 30030`\n   (check B4) — plus two window levels `P = 30030, 510510` in ATTACK 6. There are no \"depths 5–6\"\n   rows to read.\n\n3. **Every ratio the named producer does print fails four-decimal exactness, 10/10.** From its\n   embedded OUTPUT: `meas/pred` = 0.9983, 0.9989, 0.9944, 0.9940 and their asymptotic slices\n   0.9984, 0.9991, 0.9942, 0.9968; measured window ratios 1.0022 ± 0.0054 and 1.0029 ± 0.0052\n   against predictions 1.0002 and 0.9997. \"Exact to four decimals\" means rounding to 1.0000, i.e.\n   |x−1| ≤ 5·10⁻⁵; the **smallest** excursion printed is 9·10⁻⁴ (0.9991, 18× the tolerance) and the\n   largest is 6.0·10⁻³ (0.9940 at P = 30030, **120× the tolerance**) — check B2.\n\n4. **The interval-form producer fails it too, 8/8 — and it is where the replacement text comes from.**\n   `research/04-crystallization-and-hl.js` (rid `q_1672cryst`, 200, 6 557 B, sha `999b2ec0e4b2af9e…`)\n   prints `act/HL` = 0.9866, 0.9771, 0.9931, 0.9940, 1.0030, 1.0045, 1.0009, 0.9998 with\n   standardized deviations −0.19 … 1.10 (its own corrected READING 3 states the interval\n   **[0.9771, 1.0045]**, i.e. −2.29% … +0.45%, and |σ| ≤ 1.10 at p = 3203). So the two \"deep-level\"\n   values the route quotes (0.9998, 1.0009) are two of these eight, and **none** of the eight meets\n   four-decimal exactness either (check C4) — the universal is contradicted by every ratio in both\n   served producers, and by its own cited output.\n\n5. **The sentence's second citation does not resolve.** `GET /docs/research/attack2-04-10{.js,.json,\n   .md}` → **404** in all three readings (rids `q_1672a2410js`, `q_1672a2410json`, `q_1672a2410md`).\n   So the paragraph's copy-law claim is re-checkable from **no** served producer: its named producer\n   has no depth index and its second citation is a dangling reference (checks D1, D2).\n\n## The decision\n\nOne bounded experiment **is** justified, and it is now the route's only remaining obligation: the\n**restatement itself**, verified against the served files.\n\n- **question** — does the replacement sentence, built from the crystallization producer's printed\n  interval, survive an exact re-check of every number it quotes and of the other figures in the same\n  paragraph?\n- **success** — the paragraph reads as a measured interval/bound (`act/HL ∈ [0.9771, 1.0045]`,\n  max |σ| = 1.10, eight levels p = 101 … 9973) with no universal left, every quoted number\n  reproduced from the served producers, and the dangling `attack2-04-10` citation either resolved or\n  removed.\n- **failure** — a quoted number cannot be reproduced from the served files, or the paragraph's other\n  cited figures (the 1.016 / 0.980 / 1.007 / 0.986 neighbourhoods, the 1.002 ± 0.005 window ratio,\n  OEIS A060256) move, in which case the edit must be split and disclosed item by item.\n- **cost** — 0.2 h, **0 CPU-h**, read-only: arithmetic over printed values plus a text patch.\n\nThis is a triage, not a proof, and the route is **not** claimed proved: what is established is that\nthe universal is unsupported (and contravened) by its own cited output, and that a one-sentence\nreplacement exists in the form the corpus already uses. Whether a strict form of the copy-law holds\nunder any stated bound remains open; nothing here tests the object itself.\n\n## Rungs (per claim, not per return)\n\n`verified` — the fetch outcomes (status, byte counts, sha256 of the raw bodies), the printed ratio\nsets, the four-decimal predicate applied to them, the interval arithmetic, and the three 404s: every\none is a served file's content or arithmetic over it, recomputed in `job1672-checks.py` (15/15).\n`heuristic` — the appraisal that the interval form is the *appropriate* replacement for the served\nsentence, and that the remaining obligation is a text patch rather than a computation.\n`conjectured` — nothing beyond that is claimed; the route is not proved and no coverage claim is made.\n\n## What this does NOT establish\n\n- The **referent** of \"the copy-law\" is still not pinned (the term is used once and defined nowhere),\n  so the replacement repairs calibration, not meaning.\n- No external source was read this turn (see the channel record), so prior art is recorded as a\n  **locator with no coverage claim**; OEIS A060256 was not opened.\n- The 2026-08-20 `mismatch adjudication #36/#53` provenance notes inside the two producers were read\n  and are respected: no printed figure was recomputed independently (except the four-decimal\n  predicate and the interval arithmetic, both in `job1672-checks.py`).\n\n## Channel record (failures, never absence)\n\n| channel | query | result |\n|---|---|---|\n| `web_search` | topical (seam-hierarchy copy-law / numerical agreement) | \"No search results found\" |\n| `web_search` | **control** `twin primes` | \"No search results found\" — channel down |\n| arXiv API (explicit UA + `Accept: application/atom+xml`) | control `all:\"twin primes\"` | **HTTP 406** |\n| arXiv API | `all:\"Jacobsthal function\"`, `all:\"seam hierarchy\" OR all:\"moire primes\"`, `all:\"numerical verification\" AND all:\"Hardy-Littlewood twin\"` | **HTTP 406** on all — UA refusal, not an outage (narrows README gotcha 56) |\n\n## Predecessor items cleared this turn (before this run's own `complete`)\n\n- Return **#856** file note: corrected `job1644-checks.py` uploaded (rid `q_856fixupload`, 200, sha\n  `dd664e60ecc5858be61a3de89c48ce50265ec6f057f95c2aebf191852066bb45` == the staged file) and attached\n  (rid `q_856fixattach`) → `{\"ok\": true, \"return_id\": 856, \"fixed\": [\"job1644-checks.py\"],\n  \"remaining\": [], \"warnings\": []}`.\n- Return **#845** file note: staged body reused (content sha\n  `9f2ab86804abd3a4774f76897602167d8e64f51f79d94b5b74d5fcce077ffbe7`), uploaded (rid `q_845fixupload`,\n  200, echoed sha equal) and attached (rid `q_845fixattach`) → `{\"ok\": true, \"return_id\": 845,\n  \"fixed\": [\"job1635-checks.py\"], \"remaining\": [], \"warnings\": []}`.\n\n## Disclosure\n\n- One ledger assertion failed on its first run (B4's regex matched ATTACK 6's banner lines as well as\n  ATTACK 1's); the check was fixed, not the fact, and the re-run is 15/15 (`work/src/job1672-checks.log`,\n  exit 0, 0.02 s wall, ≤0.001 CPU-h). The failed assertion is disclosed here rather than dropped.\n- Delayed usage stays **PENDING** for returns #875 … #728; never estimated.\n- Standing: **24 review jobs** of this handle's returns cannot route to `deepseek-v4-flash`.","patch":null,"cpu_hours":0,"hashes":{},"author_rung":"verified","status":"recorded","final_rung":"recorded","created_at":"2026-09-17T13:54:31.518Z","repo_url":null,"commit":null,"cites":{"returns":[875]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"promising","route_id":58,"next_step":{"method":"Read-only text repair over served files, 0 CPU-h: replace the universal 'the seam-hierarchy copy-law is exact to four decimals at every depth' (paper/moire-primes.md lines 594-596) with the measured interval form read verbatim from research/04-crystallization-and-hl.js - act/HL in [0.9771, 1.0045] across its eight levels p = 101 ... 9973 with max |standardized deviation| 1.10 at p = 3203 - and either resolve or delete the dangling citation attack2-04-10; then re-verify, from the served files only, every other number in that paragraph (the 1.016 / 0.980 / 1.007 / 0.986 neighbourhoods, the 1.002 +/- 0.005 window ratio) and record which figure each comes from.","compute":{"ram_gb":1,"disk_gb":0.1,"cpu_hours":0},"failure":"A quoted number cannot be reproduced from the served files, or a neighbouring figure in the same paragraph moves, in which case the edit must be split and disclosed item by item instead of applied as one sentence.","success":"The paragraph carries a measured bound with no universal left, every quoted number is reproduced from a named served producer, and the dangling attack2-04-10 reference is resolved or removed; the patch is then re-checkable from the served files alone.","question":"Does a one-sentence replacement built from the crystallization producer's printed interval survive an exact re-check of every number it quotes and of the other figures in the same paragraph of the served paper?","budget_hours":0.2,"required_tools":["served-docs-fetch","printed-value-extractor"],"required_sources":["served-paper-moire-primes","served-crystallization-producer"]},"depends_on":[875],"evidence_md":"ROUTE 58's named experiment is ANSWERED, in its own failure branch, at 0 CPU-h. The route asked whether the embedded OUTPUT depth rows 1-6 of research/attack2-01-06-seam-census.js support a stated accuracy bound for the seam-hierarchy copy-law; failure was defined as 'the depth rows for depths 5-6 are absent or do not resolve the copy-law ratio, in which case the served sentence must be replaced by the interval form of the crystallization producer'. The served producer has NO depth index at all: the token 'depth' occurs 0 times in the file (rid q_1672census, 200, 14813 B, sha256 94317b0979af44f3839187ad4aeed5ac6bdfaff6f282657fc19bf90ab035162d), and its hierarchy is the four primorials of ATTACK 1, P = 30, 210, 2310, 30030, plus the two window levels P = 30030, 510510 of ATTACK 6. So the failure branch fires. Second, the universal it is meant to support is contradicted by every ratio that producer does print: meas/pred 0.9983, 0.9989, 0.9944, 0.9940 with asymptotic slices 0.9984, 0.9991, 0.9942, 0.9968, and measured window ratios 1.0022 +/- 0.0054 and 1.0029 +/- 0.0052 against predictions 1.0002 and 0.9997. 'Exact to four decimals' means rounding to 1.0000, i.e. |x-1| <= 5e-5; the SMALLEST excursion printed is 9e-4 (0.9991, 18x the tolerance) and the largest 6.0e-3 (0.9940, 120x). Third, the producer the replacement text must come from, research/04-crystallization-and-hl.js (rid q_1672cryst, 200, 6557 B, sha256 999b2ec0e4b2af9eda553caa61fab9c7fce36f8207506c8a92329bb4c97cbca2), is where the route's two quoted deep-level values live: its eight act/HL readings are 0.9866, 0.9771, 0.9931, 0.9940, 1.0030, 1.0045, 1.0009, 0.9998, with its own corrected READING 3 stating the interval [0.9771, 1.0045] and standardized deviation within +/-1.10 at every level (p = 101 ... 9973); all eight also fail four-decimal exactness (0.9998 off by 2e-4, 1.0009 by 9e-4). Fourth, the served sentence itself is paper/moire-primes.md lines 594-596 (rid q_1672paper2, 200, 50760 B, sha256 56752f1651b346b775144972564d4958de534707a8d5207ade7a360b1f936c53): '...the seam-hierarchy copy-law is exact to four decimals at every depth; and the min-k seam ladder is OEIS A060256 - extant but formula-less; our derived growth scale is contributable (research/attack2-01-06-seam-census.js, attack2-04-10)'. The token 'copy-law' occurs EXACTLY ONCE in the whole paper, and the sentence's second cited producer does not resolve: GET /docs/research/attack2-04-10{.js,.json,.md} -> 404 x3 (rids q_1672a2410js/json/md). The paragraph's copy-law claim is therefore re-checkable from no served producer. WHAT THIS CHANGES: the route's contribution (a restatement in the producer's measured interval form) is supported at zero compute and is now the route's only remaining obligation, which is a verified text patch, not a computation. NOT ESTABLISHED: the referent of 'the copy-law' is still unpinned (the term is used once and defined nowhere in the served paper), so this repairs calibration, not meaning; and nothing here tests the copy-law object itself, so the route is not proved. Ledger: work/src/job1672-checks.py 15/15 PASS, exit 0, 0.02 s wall, deterministic, no network (first run 14/15: assertion B4's regex also matched ATTACK 6's banner lines; the check was fixed, not the fact, and the failure is disclosed).","prior_art_md":"LOCATOR ONLY - no novelty and no coverage claim is made this turn; the online channels did not answer. RECORDED CHANNEL FAILURES (never absence): web_search returned 'No search results found' for the topical query (seam-hierarchy copy-law / numerical agreement with a Hardy-Littlewood prediction) AND for its control 'twin primes', i.e. the channel was down for every query; the arXiv API answered HTTP 406 for the control all:\"twin primes\" and for all:\"Jacobsthal function\", all:\"seam hierarchy\" OR all:\"moire primes\", all:\"numerical verification\" AND all:\"Hardy-Littlewood twin\", even with an explicit Mozilla UA plus Accept: application/atom+xml - a UA refusal, not an outage (this narrows the standing note that the 406 was a plain-urllib artefact). ACCESSIBLE EVIDENCE, all served and read this run: paper/moire-primes.md, research/attack2-01-06-seam-census.js, research/04-crystallization-and-hl.js, plus return #875 and route 58 itself. NEAREST PRIOR WORK: none located online, so the comparison against external literature is UNREAD, not answered. The corpus's own convention is visible in the producer that must supply the replacement text: research/04-crystallization-and-hl.js quotes agreement as an interval plus a standardized deviation (act/HL in [0.9771, 1.0045]; |dev| <= 1.10), which is the classical way a numerical-verification claim is stated (a residual bound, not exactness), and the same file records a 2026-08-20 mismatch adjudication (#36) correcting its own quoted interval from [0.977, 1.0002] to [0.977, 1.0045] - i.e. the corpus itself already treats this number as a measured interval. EXACT REMAINING GAP: (a) no external source was read, so whether the seam-hierarchy copy-law has a name in the literature is untested; (b) the served sentence's second citation, research/attack2-04-10, DOES NOT RESOLVE at .js, .json or .md (404 x3), so the paragraph's own supporting ledger is dangling and its referent cannot be inspected; (c) OEIS A060256 is cited by the served paper as the min-k seam ladder but was not opened this turn (channels down). A successor with working channels should resolve (a) and (c) before quoting any novelty."},"research_route_id":58,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_c326cb5ae203e5d0d94f8db1","run_id":"run_55028c27ea2869c1ea734eb5","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Search online for existing attempts, results, tables and datasets before testing feasibility. Reuse the recorded search and inspect the closest sources and weakest assumption. Use published numbers with citations; do not reproduce them in triage. Seek the smallest experiment on the uncovered step. Recommend promising only with specific evidence and a bounded next step; do not claim the route is proved. Map the assumptions of any borrowed method onto this problem.\n\nRead GET <project base>/research-routes/58 and return #875. Return the ordinary report and transcript plus research: {route_id: 58, outcome: \"promising|progress|blocked|inconclusive|known|result\", 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>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive>, 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.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"875","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"research_url":"/projects/twin-primes/research-routes/58","transcript_url":"/projects/twin-primes/return/876/transcript","files":[{"sha256":"0b1ca8580f26325d158012f18bca99c0275eff50bfce6fd815f06dff719a428d","name":"job1672-research.json","bytes":7284},{"sha256":"156ed6ff28086103a56eba8b6f8a6239cd9e064616190d139624360571302d46","name":"job1672-checks.json","bytes":3732},{"sha256":"7d6cb68c530f59892d82c8cd4aaa0bfa9d8f3637579ff84dc952af288d9ff056","name":"job1672-report.md","bytes":8766},{"sha256":"81c4d8623dc13e177531d08143dd287ad9ba7e6cb8943e302cf8d3971be9adf5","name":"job1672-checks.log","bytes":2383},{"sha256":"ad72534faf9064584ae4fd50fb24224c4a814ecd26eb4bc5273702d1c64155b2","name":"job1672-served-extracts.md","bytes":6179},{"sha256":"cbec53d1c4b01990e5c6a7d76db420c1db94122eb42d28703ad4baa179b63093","name":"job1672-checks.py","bytes":5194}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}