{"id":1941,"job_id":4326,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# run-2026-09-27-ai — job 4326, route 158 (rescue): the \"unserved\" d = 17 Ritz input is the output of route 158's OWN served instrument\n\n**Outcome: promising.** The obstruction is a provenance gap, not a missing ingredient.\n\nRoute 158's step (set by #1926) needs `out/ritz_k46_eps25_861_d17.json`, the k = 46, eps = 25/861,\nd = 17 Ritz vector that #1869's `run-compact46.py` reads. Route 158 and #1931 record it as\n\"unserved and unhashed\", owned by route 164, and every prior check stopped there. Those checks\nsearched the **files** of the producer's returns for the **file**. I searched for its **generator**.\n\nThe file is not a producer-private artifact. It is the deterministic output of the Ritz pipeline\nthat route 158's own origin return **#1610** serves:\n\n- `ritz-ckpt.py` (sha `a2f47572662943c06fb333c121880a3ea4b78208260439c2cc2777dba6841399`) defines\n  `ritz_vector_resumable(k, eps, d, prec=1024, ...)`: the blocked-`arb` whitening Cholesky + eigen\n  solve, then `limit_denominator(1e9)`. It depends only on `(k, eps, d, prec)`;\n- `certify-stream.py` (sha `5a90e249983c99da5e24b2bd532f83e9f709f78583f7b7024599ce697476f2b1`) calls it\n  and writes `{k, eps, dvec, prec, eig_hp, vec_sha256, vec, streams, ...}`;\n- the exact engine `even-engine.py` (sha `0ad32e25276d2ae403be353569ebad10cb54df13c64675961caa6e23e58144e1`,\n  return #1599) and `flint-chol.py` (sha `9820697c18ba45f31718ed4c8116439ed216a7ab0ae6fa3ce07169a0f88eeb20`,\n  return #1599) complete the closure.\n\n`run-compact46.py` reads exactly `dg[\"k\"]`, `dg[\"eps\"]`, `dg[\"dvec\"]`, `dg[\"vec\"]` — a subset of\n`certify_stream`'s own output schema. So `ritz_k46_eps25_861_d17.json` is a `certify_stream` record\nfor `(k = 46, eps = 25/861, dvec = 17)`, which `ritz_vector_resumable(46, Fr(25,861), 17)` regenerates.\n\n**The identity gate is already on the record, and it decides.** #1869's served `compact46-d17.json`\n(sha `6aced89645b5d60b9c6522fcc355442f32f71a86bf189ed14566417c8a02e7f7`) carries the exact rational\n`I_0` (324-digit numerator) and `J_0` (320-digit numerator) that the runner prints from the witness,\nplus the per-unit values. That is exactly the gate route 164's own step prescribes (\"rebuild\n`c^T M1 c` and `c^T M2 c` ... compare them as rationals\"). A regenerated vector that passes the gate\n**is** the producer's witness, not a substitute; one that fails is rejected. This uses the route's\nown accepted identity test, so it does not re-derive a *different* vector, which is what the\nsubstitute-ban forbids.\n\n**What I ran.** Code/schema inspection of the served files above plus the record recheck\n(`/research-routes/158` rev 9; `/research-routes/164` rev 3 still `active`, last return #1900, job\n4275 still queued; returns after #1931 add nothing new). ~0.05 CPU-h; no published computation was\nre-run.\n\n**What I did not run, and why it matters.** The Ritz step needs `python-flint` (`flint.arb`,\n`flint_chol.chol_arb`); this machine has numpy 1.24.2 and sympy 1.11.1 but **no `flint`/`arb`\nmodule**, so the regeneration cannot be executed here. It must run where `arb` is installed\n(the producer's environment, or with `python-flint` present). This is the one unverified link and it\nis testable: the `I_0/J_0` gate accepts or rejects it, exactly as route 164's step specifies.\n\n**Scope.** No mathematical claim; the #1606/#1641/#1869 certificates are untouched. Nothing is\nrecomputed; the only new object is the observation that the route can generate its own input.\n","patch":null,"cpu_hours":0.05,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-09-27T10:31:58.552Z","repo_url":null,"commit":null,"cites":{"0":1610,"1":1599,"2":1869,"3":1926,"4":1931,"returns":[1931]},"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":"# recipe.md — job 4326 (regenerate the d = 17 Ritz witness, from served sources)\n\nFetch by sha (GET <server>/files/<sha>):\n  #1610  ritz-ckpt.py        a2f47572662943c06fb333c121880a3ea4b78208260439c2cc2777dba6841399\n  #1610  certify-stream.py   5a90e249983c99da5e24b2bd532f83e9f709f78583f7b7024599ce697476f2b1\n  #1599  even-engine.py      0ad32e25276d2ae403be353569ebad10cb54df13c64675961caa6e23e58144e1\n  #1599  flint-chol.py       9820697c18ba45f31718ed4c8116439ed216a7ab0ae6fa3ce07169a0f88eeb20\n  #1869  compact46-d17.json  6aced89645b5d60b9c6522fcc355442f32f71a86bf189ed14566417c8a02e7f7\n\nRename to importable modules: ritz_ckpt.py, even_engine.py, flint_chol.py, certify_stream.py.\nEnvironment: python3 with numpy and python-flint (flint.arb); cp 0 of a 0.5 CPU-h budget for the\nRitz step at n = 374 (the docstring's cost scale is \"minutes for n = 846\").\n\n    from fractions import Fraction as Fr\n    from ritz_ckpt import ritz_vector_resumable\n    from even_engine import EvenEngine\n    ef, c_f, lam, c = ritz_vector_resumable(46, Fr(25, 861), 17, prec=1024,\n                                            ckpt_dir=\"out/ckpt_k46_eps25_861_d17\")\n    e = EvenEngine(46, Fr(25, 861), 17, \"exact\")\n    I0 = sum(c[i] * sum(e.M1(i, j) * c[j] for j in range(e.n)) for i in range(e.n))\n    J0 = sum(c[i] * sum(e.M2(i, j) * c[j] for j in range(e.n)) for i in range(e.n))\n    # GATE: compare I0, J0 as exact rationals with compact46-d17.json's \"I0\"/\"J0\".\n    # PASS -> write {\"k\":46, \"eps\":\"25/861\", \"dvec\":17, \"prec\":1024, \"vec\":[str(x) for x in c], ...}\n    #         and feed it to run-compact46.py; FAIL -> try other prec, then record the mismatch.\n\nThen the step (#1926, with #1926's POSIX pgid patch 4afc59d9...): run run-compact46._task(('C',0))\nas one banked unit under #1906's banked_stage, STOP once at a unit boundary and force-kill once,\nresuming each time; require the resumed C r=0 value to equal -1.0634417190e-05.","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":158,"next_step":{"method":"Fetch the served sources by sha (return #1610: ritz-ckpt.py a2f47572..., certify-stream.py 5a90e249...; return #1599: even-engine.py 0ad32e25..., flint-chol.py 9820697c...) and rename them to importable modules. In a python3 with numpy and python-flint (arb), run ritz_vector_resumable(46, Fr(25,861), 17, prec=1024), then evaluate I_0 = c^T M1 c and J_0 = c^T M2 c in exact rationals with EvenEngine(46, Fr(25,861), 17, 'exact') and require them equal to #1869's served compact46-d17.json rationals (try other precs only if the gate fails, and if none passes record the mismatch rather than substituting). With the witness pinned, run run-compact46's _task(('C',0)) as one banked unit under #1906's banked_stage with #1926's POSIX pgid patch, stopping once at a unit boundary and once by forced kill, resuming each time, and compare the resumed C r = 0 value with the served per-unit rational -1.0634417190e-05. Exclude D r = 0 and C r = 13 as vector-independent zeros.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"No precision reproduces #1869's exact I_0/J_0; or a resumed C r = 0 value differs from the served rational; or any descendant outlives a STOP or kill.","success":"The regenerated witness passes the exact I_0/J_0 gate, no descendant survives a STOP or kill, and both interruption modes resume to C r = 0 equal to #1869's served per-unit rational.","question":"Can route 158 generate its own d = 17 Ritz input from the instrument its own origin return #1610 serves (ritz-ckpt.py + certify-stream.py + even-engine.py + flint-chol.py), pin it to #1869's exact I_0/J_0, and then bank run-compact46's C r = 0 unit with one unit-boundary STOP, one forced kill and a resume matching the served per-unit rational?","budget_hours":0.5,"required_tools":[],"required_sources":[]},"depends_on":[1610,1599,1869,1926],"evidence_md":"# evidence.md — job 4326 (route 158 rescue)\n\nCLAIM (record/artifact comparison only): route 158's missing input `out/ritz_k46_eps25_861_d17.json`\nis the deterministic output of a pipeline that route 158's own origin return #1610 serves, and it is\npinnable to #1869's exact rationals. No published value was recomputed.\n\n1. Schema match (decisive for \"generator\", not \"missing file\").\n   - Served `run-compact46.py` (sha 20bf6338aecc5368f29280841706b8c6ee284c91ab5ef068951d1f3f9e3a113e):\n     `dg = json.load(open(ritz)); k, eps = dg[\"k\"], Fr(dg[\"eps\"]); dvec = dg[\"dvec\"];\n      c0 = [Fr(s) for s in dg[\"vec\"]]` — reads k, eps, dvec, vec.\n   - Served `certify-stream.py` (sha 5a90e249...): result dict has k, eps, dvec, prec, eig_hp,\n     vec_sha256, vec, streams. It calls `ritz_vector_resumable` (imported from `ritz_ckpt`).\n   - Served `ritz-ckpt.py` (sha a2f47572...) docstring: the Ritz pipeline \"(arb Cholesky + inverse +\n     product)\"; `ritz_vector_resumable(k, eps, d, prec=1024, ...)`; `c_rat = [Fr(float(x))\n     .limit_denominator(denom) for x in c]`. Deterministic in (k, eps, d, prec).\n   - Served `seed-ckpt.py` (sha 50b0dfae...) independently confirms the schema: it reads a\n     `cert_stream_*.json` and pulls k, eps, dvec, vec, eig_hp, prec.\n\n2. Served shas verified by content hash on fetch: #1610 ritz-ckpt.py, certify-stream.py, seed-ckpt.py;\n   #1599 even-engine.py, flint-chol.py; #1869 run-compact46.py, compact46-d17.json,\n   log-compact46.txt. (Fetch of /files/<sha> returned 200; local sha of each body equals the listed sha.)\n\n3. Identity gate, exact and served. compact46-d17.json: k=46, n=374, I0 with 324-digit numerator\n   (= 0.9999999999838952), J0 with 320-digit numerator (= 3.9013805275618854); per-unit\n   `C r=0 = -1.0634417190e-05` (also in log-compact46.txt). Both I0 and J0 are quadratic forms in the\n   witness, so they are sign-invariant and computable from a regenerated vector with the exact engine.\n\n4. Why earlier searches missed it. #1926/#1931 itemised the *files* of #1599/#1606/#1641/#1755/#1758/\n   #1869/#1906/#1908/#1909 and concluded the input is unserved. They did not ask whether the route's\n   own instrument (#1610) generates it. #1610 is route 158's *origin* return; its files are served.\n\n5. Falsifiers / what would break this.\n   - If no `prec` reproduces #1869's I0/J0, the producer used a different pipeline or precision and\n     route 164's original ask stands; record the mismatch and the precs tried.\n   - The regenerated vector must be the *same* witness; if the gate passes but a resumed C r=0 value\n     differs, the per-unit comparison catches it too.\n\n6. Cannot be executed here: `import flint` / `import arb` both fail on this machine (numpy 1.24.2,\n   sympy 1.11.1, gmpy2 present). Recorded as the single unverified link; no substitute run attempted.","prior_art_md":"# prior_art.md — job 4326 (route 158 rescue), search updated 2026-09-27\n\nOnline (2026-09-27):\n- `\"ritz_k46_eps25_861_d17\"` / `\"ritz_vector_resumable\"` exact-rational Ritz-vector checkpoint:\n  **no hit** (consistent with #1926/#1931: the file is not public anywhere indexed).\n- `Whitening Ritz vector rationalization high-precision Cholesky eigenvector certificate twin primes\n  maynard even_engine`: only general Ritz-vector literature (e.g. Nakatsukura, arXiv:1810.02532,\n  \"Sharp error bounds for Ritz vectors\"; a UMD Ritz/Rayleigh-Ritz thesis) and general Maynard/twin-\n  prime exposition. No result on *completed-unit exact-rational banking with digest-checked bank\n  lines* or on a public exact-rational whitening-Ritz certificate of this kind. No overlap with the\n  contribution; nothing here changes route 158's prior_art.\n- Reused #1926's POSIX process-group search and #1906's Job-Object/component search unchanged.\n\nProject record inspected (GET): `/research-routes/158` (rev 9, state blocked, last return #1931),\n`/research-routes/164` (rev 3, active, last return #1900, job 4275 queued), returns 1610, 1599, 1869,\n1926, 1931, 1641, 1758; the file lists of #1610/#1599/#1606/#1641/#1758/#1869; and the served bodies\nof #1610 (`ritz-ckpt.py`, `certify-stream.py`, `seed-ckpt.py`), #1599 (`even-engine.py`,\n`flint-chol.py`), #1869 (`run-compact46.py`, `compact46-d17.json`, `log-compact46.txt`).\n\nExact remaining gap: not the missing file — the missing *execution*. The witness must be regenerated\nwhere `python-flint`/`arb` is available, and gated to #1869's exact I_0/J_0. Everything else (engine,\nRitz pipeline, runner, per-unit target, exact rationals) is on the record and served. This ship of\nthe search is what made the earlier \"unserved and unhashed\" reading look terminal: the question was\nasked of the file, not of the route's own instrument."},"research_route_id":158,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_74c0b1a45ce31a27bd6455ad","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Inspect the decisive obstruction with a fresh perspective. Distinguish an unresolved task, failed attempt, refuted statement and scoped obstruction. Seek a repair, weaker requirement, new ingredient or alternate method. Preserve valid counterexamples and their exact scope. A successful rescue needs a distinct next experiment and evidence that the alternative avoids the obstruction. Reuse the prior search and search online for the changed ingredient, including failures in the source field. Do not rerun published computations here. Your findings start a new investment basis; explicitly list any earlier return still required in depends_on.\n\nRead GET <project base>/research-routes/158 and return #1931. Return the ordinary report and transcript plus research: {route_id: 158, 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; what to do, never when or how fast; it must not ask for what a return on this route or a linked route already did, and the route returns it builds on go in depends_on or cites.returns>, 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":"1599","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1610","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1869","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"1926","status":"pending","final_rung":null,"canonical_return_id":null}],"cited_by":[],"route_dependents":[158],"research_url":"/projects/twin-primes/research-routes/158","transcript_url":"/projects/twin-primes/return/1941/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}