{"id":1577,"job_id":2988,"problem_id":1,"lane_id":5,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #2988 — route 150 step (b): the citation surface screened whole\n\nAttempt `ee9fa9a6388c96baa88edabb92f84ae1` · session `2afd9c8d0d04e425714e2db6` · run\n`run-2026-09-24-d` · public run `run_b8224191bce5d5ea34824f6f` · route **150** rev **4**, stage\n`pursue`, general mode · type `explore`, recorded without review. Read-only; **0 CPU-h**; nothing\nrecomputed.\n\n#1574's recorded next step was run as written: build the edge list over the route **and return**\ntexts plus every `cited_row`/`gate`/`corpus` structure, resolve each against the cited source's own\nserved artifact fetched by content address, and report the drift and carrier sets. The whole served\nrecord was fetched read-only: **100 routes**, **1261 returns** (ids 1–1600, absent ids answer 404),\n**5760 distinct attached artifacts** by content address (**5580 served**, 147.9 MB on disk).\n\n## 1. The whole structured citation surface is three returns wide\n\nEvery artifact was walked for `cited_row` / `mismatches_vs_cited` / `citation_fidelity`-style\nobjects — a value one return attributes to another. There are **237** such records and their owners\nare **#645 (152), #1564 (76), #686 (9)**. No other return on the 1261-return record carries one.\nSo the structured citation surface is small, and it is exactly the route-27 surface #1571 screened\nplus #1564's copy of it and #686's citation-fidelity gate.\n\n## 2. Row-to-row resolution: exactly one drift cell\n\nA `cited_row` is a whole prime→value row, and #637's artifacts hold **one row per level**, so a\ncell-by-cell match without a level key is confounded. Matched row-to-row (largest key intersection,\ncompared only on the intersection):\n\n| citing return | object | cited source's own artifact | keys compared | drift |\n|---|---|---|---|---|\n| #645 | `/stages/t31/cited_row` (37..199) | #637 `/row` `44257ab7…` | **35/35** | **1 — p=163: cited 2, source 1** |\n| #645 | `/stages/tuples/cited_row` (31..199) | #637 `/levels/29/row` `6cff14a5…` | **36/36** | **0** |\n| #645 | `mismatches_vs_cited` | (self-declared) | — | `[{p:163, mine:1, cited:2}]` |\n\n**The level key is the whole difference.** Without it, the same rows appear to drift on 7 cells\n(tuples vs `/levels/23/row`) or 17 (t31 vs `/levels/23/row`); restricted to the same-level row every\none of those disappears. #637 holds `/levels/23/row`, `/levels/29/row` and `/row` (the level-31 row)\nin the same artifact, and only the same-level row is the cited source.\n\n**Finding:** the drift set over the whole served record is exactly the one edge #1571 named,\n`L(T_31,163)`, reproduced here by an independent reader from the served bytes.\n\n## 3. The carrier set grows by one, and it is a flagged copy\n\n#1571 and #1574 closed the carrier set at #645 (one route text mentions the cell, no value\nstatement; of the citation edge set's three return bodies only #645 states it). The whole-record\nsweep finds a **second published carrier: #1564** (`job 2961`, the route-150 triage). Its attached\n`645-1-job1416-seam.json` (`d7e78025…`, 10 152 B) repeats the same `stages.t31.cited_row` entry\n`163 → 2`, and it is **not** #645's own bytes for that object (`1251aa4f…` 9 435 B / `34c1baa8…`\n9 694 B) — it is a re-serialised copy. #1564's own text names the discrepancy (it is the triage\nthat established \"the citation has no carrier\"), so this is a **flagged copy, not an independent\nrestatement**: no value becomes newly unbacked. Drift stays at one edge; the carrier set is\n`{#645, #1564}` and both cite #637, which states 1.\n\n## 4. The prose layer is not resolvable by shape — the screen's own limit\n\nThe prose half (every `<value> (#<id>)` sentence over all route + return texts) yields **196 tight\nedges**: 127 agree, 31 value-absent, 20 value-present-key-unconfirmed, 18 source-not-served. Every\nnon-agreeing edge was inspected; the dominant class is a **shape false positive**, because the\ntoken before `(#id)` is just as often an id as a value — `route 73 (#995)`, `route 110 (#1335)`,\n`message 1475 (#459)`, `review 70, #973`, `iteration 5692`, `N = 20`. **No value-attribution edge\nset can be built over this corpus's prose by pattern alone**, so the prose layer's drift cannot be\nclosed by this screen; it can only be closed where a quantity key exists (layer A). This is a\nnegative result about the generalisation, and it is why part (b)'s decisive answer sits in §2.\n\n## 5. Outcome\n\n`progress`. The two-layer screen over the whole record reproduces #1571's single drift edge\n(`L(T_31,163)`) from the served bytes with an independent reader, closes the structured layer\n(3 carriers, 237 records, 0 further drift after the level key is imposed), and **corrects one claim\nin the carrier set**: #645 is not the only published carrier — #1564's copy repeats the value 2,\nflagged in its own text. The prose layer is shown to be unresolvable by shape. 55 of @Benjaminsen's\nreturns wait for a verdict (20 on deepseek-v4-flash).\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-09-24T06:55:14.758Z","repo_url":null,"commit":null,"cites":{"returns":[1574]},"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":"progress","route_id":150,"next_step":{"method":"Read-only, offline against the cached record. (1) Enumerate every prime->value row in every served artifact (already fetched by content address in job 2988). (2) Attribute each row to a level from its own path/keys, not from its prime range. (3) For every pair of rows with the same level from different returns, compare on the key intersection and report every disagreement, with the citing text if one exists. (4) Pre-register the falsifier first: a same-level pair that disagrees on a cell other than (T_31, 163) refutes 'the drift set is closed at one cell'.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"A further same-level disagreement appears; the two rows, the level and the cell are named for restatement.","success":"Zero further same-level disagreements beyond L(T_31, 163): the served row surface is closed at the one cell.","question":"Does the LEVEL-RESTRICTED row screen -- every prime->value row in the served artifacts, each pair compared only against the row of its own level -- find a disagreement on any cell other than L(T_31, 163)?","budget_hours":0.5,"required_tools":[],"required_sources":[]},"depends_on":[1571,1574],"evidence_md":"# Evidence — the citation surface screened whole (route 150, job 2988)\n\nAttempt `ee9fa9a6388c96baa88edabb92f84ae1`, run `run-2026-09-24-d`. All numbers below are produced\nby the scripts in `work/` from server responses saved in the same directory. Read-only; no cell\nvalue recomputed; **0 CPU-h**.\n\n## 0. The record fetched\n\n| quantity | value |\n|---|---|\n| routes fetched (`GET /research-routes`) | **100** (`work/routes.json`) |\n| returns fetched (`GET /return/<id>`, ids 1–1600) | **1261** served, absent ids 404 (`work/returns.jsonl`) |\n| distinct attached artifacts fetched (`GET /files/<sha>`) | **5760** requested, **5580** served, 760 404; 147.9 MB (`work/files/<sha>`) |\n\nScripts: `work/fetch_all.py`, `work/fetch_files.py`; both exit 0 under `sah.py bounded`.\n\n## 1. Layer A — structured cited-value objects (237 records, 3 owners)\n\n`work/survey_structured.py`, `work/screen.py`. Owners: **#645 (152), #1564 (76), #686 (9)**. Objects:\n`/stages/t31/cited_row`, `/stages/tuples/cited_row`, `/stages/level29/cited_row`,\n`/stages/t31/mismatches_vs_cited`, `/gates/G0_citation_fidelity`. `work/screen.json`.\n\n#686's nine `G0_citation_fidelity` entries carry `cites.returns = []`, so no cited source exists to\nresolve against — reported **unresolved by construction**, not as drift.\n\n## 2. Layer A resolved row-to-row — the decisive table\n\n`work/resolve_rows.py` (flat records regrouped into whole rows), `work/verify_levels.py` (every\ncited_row against every candidate source row), output `work/rows-report.json`.\n\n| citing object | cited source's own artifact | keys compared | drift |\n|---|---|---|---|\n| #645 `/stages/t31/cited_row` | #637 `44257ab731e126d5…` `/row` | **35 / 35** | **1**: `p=163` cited **2**, source **1** |\n| #645 `/stages/tuples/cited_row` | #637 `6cff14a558ec1983…` `/levels/29/row` | **36 / 36** | **0** |\n| #645 `/stages/level29/cited_row` | #637 `6cff14a5…` `/levels/29/row` | matched | 0 |\n| #645 `/stages/t31/mismatches_vs_cited` | — | 1 | `[{p:163, mine:1, cited:2}]` (self-declared) |\n\n**Level control (the decisive mechanism).** #637's artifact `6cff14a5…` holds `/levels/23/row`\n(37 keys) **and** `/levels/29/row` (36 keys), while `44257ab7…` holds the level-31 `/row` (35 keys).\nMatching without a level key reports 7 spurious drifts for `tuples` and 17 for `t31`; the same-level\nrow reduces them to 0 and 1. `work/verify_levels.py` prints all candidate pairs.\n\n## 3. Carrier set\n\n`work/returns.jsonl`. #1564's attached `645-1-job1416-seam.json` = `d7e780254549510d…`, 10 152 B;\n#645's own `job1416-seam.json` = `1251aa4fec46f753…` 9 435 B and `34c1baa8352f63d8…` 9 694 B —\ndifferent bytes, so #1564's is a re-serialised copy. #1564 cites returns `[161,622,637,644,645,656,1555]`;\nits `report.md`/`research.evidence_md` name the discrepancy. Carrier set = `{#645, #1564}`, both\npointing at #637, which states 1.\n\n## 4. Layer B — prose edges (196, with verdicts)\n\n`work/screen.py`. Tight shape `<value> (#id)` with a leading `#`/`-`-dash exclusion: **196** edges.\nVerdicts: **127** agree, **31** value-absent, **20** value-present-key-unconfirmed, **18**\nsource-not-served. Inspected false-positive class: the token before `(#id)` is an id, not a value —\n`route 73 (#995)`, `message 1475 (#459)`, `review 70, #973`, `iteration 5692`. The 51 non-agreeing\nedges are listed with context in `work/screen.json` (`layerB`); **none is claimed as drift**.\n\n## 5. Scope and limits\n\n- Layer A is complete over the fetched record (1261 returns, 5760 artifacts requested); 760 artifacts\n  404 and 339 absent return ids are the only unread surface.\n- Layer B's 196 edges are a *shape* screen; its false-positive rate is demonstrated, so layer B is\n  reported as a limit of the generalisation, not as a result.\n- Resolution uses **only** the cited source's own served artifacts; no external source is cited as\n  authority for any value and no value is recomputed.\n- #686's fidelity gate is unresolved by construction (no cited return).","prior_art_md":"# Prior-art update — route 150, job 2988, search 2026-09-24T06:57Z\n\nRefreshed online search for the quantities this experiment touches: per-cell values `L(T_x, p)` of\nthe twin-admissible tile rows, the paired/ordinary Jacobsthal function over primorials, and any\nexternal carrier of a single cell of a level-row. This is the search family #1571 and #1574\nrecorded; the refresh adds nothing to their conclusion and is recorded as required.\n\n- **The object is project-internal.** `L(T_x, p)` is defined by the corpus's own `research/killrun.js`\n  and generated by its `Lgrowth.js` / `a3-02-diagonal-f.js`; no external publication states per-cell\n  values, so a single cell can only be compared with this corpus's own artifacts. The refresh\n  returned the same family: arXiv:1611.03310 (algorithmic concepts for Jacobsthal's function),\n  Hagedorn, *Computation of Jacobsthal's function h(n) for n < 50* (Math. Comp. 2008), the OeisWiki\n  Jacobsthal page, the MathOverflow/RosettaCode generalities, and the recent Reddit r/numbertheory\n  thread on Jacobsthal for primorials. **None carries a per-cell `L(T_x, p)` table.**\n- **A288815** (paired Jacobsthal applied to the primorial, `a(n) = 6·A072753(n) + 6`, table to prime\n  73) remains the nearest published family; this record's rows run to prime 199. **A144311** stays\n  the ladder's certified source inside the corpus (route 73 / #995).\n- **Exact remaining gap (unchanged):** the off-diagonal per-cell target exists only on the record.\n  What this return adds is not a literature claim but a *resolution* claim: the served structured\n  citation surface is three returns wide (#645, #1564, #686), and after the level key is imposed the\n  only cell whose citing text disagrees with its cited artifact is `L(T_31,163)`.\n\nNo external source is cited here as authority for any value; the only sources used are the served\nroute records, return bodies and content-addressed artifacts named in the enclosed evidence."},"research_route_id":150,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_b8224191bce5d5ea34824f6f","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"First update the online prior-work search for this experiment. If existing work covers it, record that and stop; otherwise run this bounded sprint on the uncovered uncertainty. Use cited published numbers during pursuit; their reproduction belongs in later validation. Build on the supplied findings; do not reconstruct earlier research. Return concrete progress and its cheapest credible check, a useful result for review, or a precisely scoped obstacle. Continued investment requires a distinct experiment.\n\nRead GET <project base>/research-routes/150 and return #1574. Return the ordinary report and transcript plus research: {route_id: 150, 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":"1571","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1574","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"research_url":"/projects/twin-primes/research-routes/150","transcript_url":"/projects/twin-primes/return/1577/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}