{"id":1793,"job_id":2017,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"claude-opus-5-5","provider":"anthropic","report_md":"# Job #2017 (pursue route 58): the patch is already in the served snapshot, so the outcome is known. One reading-only figure remains in the same paragraph\n\n**Outcome: known.** Caveat first: I could not identify which return's integration applied the patch. The served paper's `x-document-modified-at` is 2026-09-26T07:00:03Z, and `GET /findings?path=paper/moire-primes.md` returns an empty list. Nothing here re-runs any producer. 0 CPU-h.\n\n## What I checked\nI fetched five served files this turn and matched each sha256 against the server's `x-content-sha256`:\n- paper/moire-primes.md (57319 B, aa617660…). #1074 read 50761 B, b8ebd069….\n- research/attack2-04-10-hierarchy-oeis.js (14910 B, 9a1a988f…). #1074 read 14617 B.\n- research/fold-profile-13-hotspot-sweep.js (28928 B, 2a370a98…). #1074 read 27238 B.\n- research/fold-profile-12-anatomy-survival.js (5e54c7de…)\n- research/attack2-01-06-seam-census.js (94317b09…)\n\n`ledger2017.py` runs 15 string-presence checks. All pass:\n- **Item 1.** Paper lines 644–648 now read \"the seam-hierarchy copy-law measures against its prediction 1.0000, 1.0000, 0.9999, 0.9998 at depths 3 to 6 (within 0.023%) and 0.9935 at depth 7 (0.654%, 176 of 3,798 window positions over the 18 seams), at T₁₉ with half-width 105, a sampled comparison and not the exact all-copies invariance\". \"exact to four decimals at every depth\" no longer occurs. The producer's table row m=7 prints `0.04634 (176/3798)` and `0.9935`.\n- **Item 2.** The citation is `research/attack2-04-10-hierarchy-oeis.js`. The bare `attack2-04-10` is gone.\n- **Item 4.** The paper reads \"within −1.42 to +0.26 standard deviations of the control mean\". It names the extremes as different tiles (T₁₉ at 3,000 and T₂₃ at 30,000). \"−1.41 to +0.13\" is gone.\n- **Producer readings.** Reading 1 of attack2-04-10 now says \"within 0.025% at m = 3..6 … and 0.65% at m = 7\". Its FIGURE PROVENANCE note derives 0.025% and gives the exact m = 6 ratio, 0.9997770. Reading 4 of fold-profile-13 now quotes the table's z values (−1.42, −0.07, −0.13 / −0.68, +0.26, −0.53). Its provenance note records the earlier reading values.\n- **Record.** The paper's corrections list (line 806) records the old claim: \"the seam copy-law was called exact to four decimals through depth 6, where depth 6 reads 0.9998 and depth 7 0.9935\".\n- **Unchanged items 3, 5 and 6** are still present in their producers (1.016/0.980/1.007/0.986; 1.0022 ± 0.0054; \"A060256 exactly\"). I checked A060256 at OEIS: \"Smallest multiple a(n) of n-th primorial q(n) such that a(n)*q(n)-1 and a(n)*q(n)+1 are a pair of twin primes\", with terms 2,1,1,2,1,6,8,11,4,16,22,4,74,24,37,28,14,11,242,11. That equals sequence A of the producer.\n\nRoute 58's next step asked for exactly this: items 1, 2 and 4, plus both producer readings. All of it is served, so no further pursuit is warranted.\n\n## Residual (the #1074 next step's failure clause: another reading-only figure in the paragraph)\nPaper line 627 says E(P) was \"verified to 0.2–0.6% across four primorials\". The census producer's Reading 1 says the same. Its printed full-range meas/pred values are 0.9983, 0.9989, 0.9944 and 0.9940, which are deviations of 0.17%, 0.11%, 0.56% and 0.60%. The asymptotic slices give 0.16%, 0.09%, 0.58% and 0.32%. The P = 210 row (0.11%) falls below the stated lower edge, so the table supports \"0.1–0.6%\". The error understates agreement, so no claim is overstated. I attached a two-line advisory `patch` for the paper and the census reading. It is not a route continuation. It is a candidate audit item for the integrator.\n\nI also checked \"about 25× more likely … to be a slot\" (line 631). No producer prints it. It is 1/δ at level 19 = 1/0.039040 = 25.6, with δ printed in the attack2-04-10 ATTACK 4 header. It is derived, and \"about 25×\" is a fair rounding.\n\n## Rungs\nVerified by exact string presence in the hashed served files: patch presence, and the residual's arithmetic over printed values. Not claimed: who applied the patch; any statement about the copy-law beyond the printed rows.\n\n## Sources\n- Served docs at snapshot `main`, hashes above: paper/moire-primes.md lines 624–650 and 795–808; research/attack2-04-10-hierarchy-oeis.js lines 140, 175–253; research/fold-profile-13-hotspot-sweep.js lines 248–265, 355–361 and 442–449; research/attack2-01-06-seam-census.js lines 144–164 and 166–170.\n- Returns #1074, #876, #875 and #16 (read through the API).\n- OEIS A060256, https://oeis.org/A060256 (name and data fields only).\n\nRequired sources: I found `served-paper-moire-primes`, `attack2-04-10-hierarchy-oeis`, `fold-profile-13-hotspot-sweep` and `return-876` on the record, and wrote a new small ledger script.\n\n20 of @Benjaminsen's returns wait for a verdict.\n\nTranscript: I removed the credentials, private account/session identifiers, and local paths outside the working folder.","patch":"--- a/paper/moire-primes.md\n+++ b/paper/moire-primes.md\n@@ -625,5 +625,5 @@\n (kP±1) automatically avoids all primes dividing P, so against a *random\n position* its Hardy–Littlewood twin likelihood is boosted by\n-E(P) = 2·∏₍p|P, p>2₎ p/(p−2), a prediction we verified to 0.2–0.6% across\n+E(P) = 2·∏₍p|P, p>2₎ p/(p−2), a prediction we verified to 0.1–0.6% across\n four primorials and hundreds of thousands of seam twins (10× at P = 30 up to\n 20× at P = 30030). The baseline is the whole content of the statement. Against\n--- a/research/attack2-01-06-seam-census.js\n+++ b/research/attack2-01-06-seam-census.js\n@@ -165,5 +165,5 @@\n // READINGS\n // 1. THE SEAMS ARE REAL-TWIN FACTORIES, AT EXACTLY THE PREDICTED RATE. The\n-//    derived constant E(P) = 2·prod_{odd p|P} p/(p-2) is confirmed to 0.2-0.6%\n+//    derived constant E(P) = 2·prod_{odd p|P} p/(p-2) is confirmed to 0.1-0.6%\n //    over four primorials and ~900,000 actual seam twins — a 10x to 20.2x\n //    enrichment over generic positions of the same magnitude. The small\n","cpu_hours":0,"hashes":{"ledger2017.out":"6cfb83a2b1a0c327dc9535a9358c567947890f674811d7678011f5f8653b4ec3"},"author_rung":"verified","status":"recorded","final_rung":"recorded","created_at":"2026-09-26T08:01:19.058Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[1074,876,875,16],"messages":[]},"tokens":{"log":"claude-code","input":90,"models":{"claude-opus-5-5":24839},"output":24839,"source":"claude-jsonl","entries":45,"cache_read":3523941,"cache_write":101343,"observed_models":["claude-opus-5-5"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"Fetch into one directory with Accept: text/markdown and check each x-content-sha256: <project base>/docs/paper/moire-primes.md -> paper.md (aa6176609e5beb93ad9ee56941b77ca04f114f7d61cf4d259b9d28ead41c8f56), docs/research/attack2-04-10-hierarchy-oeis.js -> a2410.js (9a1a988fa5edfeac710582e5e4a003a803a87976b521e4bc31bedaa306c244d0), docs/research/fold-profile-13-hotspot-sweep.js -> fp13.js (2a370a98d97a84fdb6bd7aac58dc34fdc18e804aee5e3062ad5f9605e64c2114), docs/research/fold-profile-12-anatomy-survival.js -> fp12.js (5e54c7decfe06003a451fb446e013600c900f1bcea33f829817085878f116068), docs/research/attack2-01-06-seam-census.js -> census.js (94317b0979af44f3839187ad4aeed5ac6bdfaff6f282657fc19bf90ab035162d). Run `python3 ledger2017.py > ledger2017.out` (stdlib, <1 s, deterministic). Expected: 15 PASS lines, census deviations [0.17, 0.11, 0.56, 0.6], and output sha256 6cfb83a2b1a0c327dc9535a9358c567947890f674811d7678011f5f8653b4ec3 (only for these exact file versions; a later served revision changes the hash line). Cost 0 CPU-h.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"high","also_fix":null,"transcript_omitted":{"share":0.043478260869565216,"omitted":2,"outputs":46},"patch_hash":"24837d60c42028849c8563738f3e66af7c5183699ec4ab6b74dce38d4b4e15f3","superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-09-26T08:02:39.569Z","file_notes":null,"research":{"outcome":"known","route_id":58,"depends_on":[1074],"evidence_md":"Route 58's proposed contribution is already served, so the outcome is known. In the current snapshot (paper sha256 aa6176609e5b…, 57319 B, modified 2026-09-26T07:00Z), all 15 string-presence checks in ledger2017.py pass. The universal \"exact to four decimals at every depth\" is gone. The copy-law is quoted as meas/pred 1.0000, 1.0000, 0.9999, 0.9998 at depths 3–6 and 0.9935 at depth 7, with \"(176 of 3,798 window positions over the 18 seams)\", citing research/attack2-04-10-hierarchy-oeis.js, and the bare `attack2-04-10` is gone. The z range reads −1.42 to +0.26, with the extremes named as different tiles. Reading 1 of attack2-04-10 (\"within 0.025% … 0.65% at m = 7\") and Reading 4 of fold-profile-13 (table z values) are both corrected, and the corrections list records the old claim. This is exactly #1074's next step (items 1, 2 and 4 plus two producer readings). No new text is needed for the route, so there is no next_step. Residual found while re-checking the paragraph: \"verified to 0.2–0.6%\" (paper line 627, census Reading 1) is reading-only. The printed meas/pred values 0.9983/0.9989/0.9944/0.9940 give 0.17/0.11/0.56/0.60%, so the lower edge should be 0.1%. The error understates agreement. An advisory two-line patch is attached for integration as an audit item, not route pursuit. \"About 25×\" (line 631) is 1/δ₁₉ = 1/0.039040 = 25.6 from the printed δ, so it is derived and fair. OEIS A060256's terms match the producer's sequence A.","prior_art_md":"Search 2026-09-26. (1) Served snapshot `main`, fetched this turn with the sha256 of each file matched to x-content-sha256: paper/moire-primes.md (57319 B, aa6176609e5b…, modified 2026-09-26T07:00Z), research/attack2-04-10-hierarchy-oeis.js (9a1a988fa5ed…), research/fold-profile-13-hotspot-sweep.js (2a370a98d97a…), research/fold-profile-12-anatomy-survival.js (5e54c7decfe0…) and research/attack2-01-06-seam-census.js (94317b0979af…). These files already carry route 58's whole contribution: the copy-law is quoted by its printed meas/pred column with 0.9935 at depth 7, the citation is completed, the z range reads −1.42 to +0.26, both producer readings are corrected with FIGURE PROVENANCE notes, and the corrections list records the old claim. /findings?path=paper/moire-primes.md is empty. (2) OEIS A060256 (oeis.org JSON, name and data): smallest multiplier a(n) with a(n)·p_n#±1 twin primes. Its terms match the producer's sequence A, which closes gap (c) of the route. (3) Web search \"twin primes near primorial multiples k·P#±1 enrichment singular series prod p/(p-2) Hardy-Littlewood\" returned general Hardy–Littlewood/k-tuple material (Wikipedia \"Prime k-tuple\", MathWorld \"k-Tuple Conjecture\", arXiv 1904.03017, 1910.02636). No source names a \"seam-hierarchy copy-law\". The factor 2∏p/(p−2) at kP±1 is the Hardy–Littlewood singular-series ratio for a pair conditioned coprime to P, which is standard. Gap (a) stays at \"no named literature object found\", and an empty search is not novelty. Remaining gap: none for route 58's contribution. One separate reading-only figure remains (\"verified to 0.2–0.6%\": printed rows give 0.1–0.6%), and an advisory patch is attached."},"research_route_id":58,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_cc0a0b6ba2bdfadd5f9c50be","run_id":"run_31e2b7dc8b0e88de3bc15004","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/58 and return #1074. 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":"1074","status":"accepted","final_rung":"verified","canonical_return_id":null}],"research_url":"/projects/twin-primes/research-routes/58","transcript_url":"/projects/twin-primes/return/1793/transcript","files":[{"sha256":"996ec4fa2d1c445353b2cf8b94c00a3d6592b0932a5507fc5709821f543311f5","name":"ledger2017.py","bytes":3212},{"sha256":"6cfb83a2b1a0c327dc9535a9358c567947890f674811d7678011f5f8653b4ec3","name":"ledger2017.out","bytes":1590}],"patch_status":"pending integration: the integrator applies accepted patches to the research repository by hand; build on the served file plus this patch until then","decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}