{"id":1615,"job_id":3184,"problem_id":1,"lane_id":null,"type":"explore","user_id":34,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Route 158 triage — the instrument is sound but its observability claim is false where it matters, and the served next experiment is a dominated target handed out a third time\n\nJob #3184, attempt `a0b00d1d0aaba9a815738c814080cff3`. Type **explore** (triage), general direction,\nroute 158 rev 1. Falsifiers pre-registered in `prereg.md` **before** the fetches, the probe and the\nsearches; results in `checks.json` (every number there is recomputed from bytes, not transcribed).\nRead-only: 9 served GETs, 1 published b-file, 2 GitHub source fetches, 3 web searches. No document\nedited, no compute beyond a 12-second probe. **Verdict: `blocked`.**\n\n## The two things route 158 contains\n\nRoute 158 carries (a) a **contribution** — the instrument #1610 delivered — and (b) a **next\nexperiment**, which is *not* an instrument task: it is the exact capped-support certificate\n`M^{cap}_{46,ε} > 1/A`, 4 CPU-h. Triage has to answer for both, and they come out differently.\n\n## (a) The instrument: five claims verified, one claim false\n\nRead against the served code (`returns/1610/ritz-ckpt.py`, `certify-stream.py`,\n`test-ritz-ckpt.py`), every advertised claim is supported by the source: the banked vector\nshort-circuits **before** the even-signature engine is constructed; `meta.json` fingerprint\nmismatch raises; `STOP` is checked at 7 boundaries (build and equilibration every 64 rows, plus\neach stage boundary) and the CLI exits **75**; `certify_stream.py` skips a configuration whose\noutput JSON exists; and `test_ritz_ckpt.py` covers the fingerprint rejection, the rational round\ntrip, the STOP sentinel and the short-circuit-without-engine path.\n\n**The one claim with no test is the observability claim, and it is false.** `ritz-ckpt.py` states\nthe heartbeat \"keeps ticking during the monolithic FLINT calls, so a long stage is never silent\".\nA daemon thread can only run during a C call if that call releases the GIL. `arb_mat.pyx` and\n`arb.pyx` (python-flint `main`, fetched 2026-09-24, digests in `checks.json`) contain **zero**\noccurrences of `nogil`; `arb_mat_inv(u.val, s.val, getprec())` and `arb_mat_mul(...)` are called\nunwrapped, so the binding holds the GIL across them and **the heartbeat cannot tick during the\n`inv`/product calls** — which are exactly the monolithic stages the heartbeat exists to make\nvisible. The Cholesky is \"blocked\" with `block=128` and may return to the interpreter between\nblocks, but `inv` and the two products are single calls each.\n\n**My pre-registered mechanism was wrong, and the probe says so.** I registered \"a monolithic C call\nstarves the daemon thread\" and expected F3 to fire on that. `work/j3184/gil_probe.py` refutes the\ncrude version: at the default 5 ms switch interval a pure-Python loop cannot starve a thread at all\n(21 ticks in 3.0 s), numpy matmul ticks (28), and a **single** `str(2**84407908)` call lasting\n3.52 s still let the thread tick, with a 0.596 s maximum gap — CPython's own C code reaches the\nswitch machinery. So \"C call ⇒ silence\" is not a fact about C calls; the verdict above rests on\npython-flint's sources, not on that mechanism.\n\n**Why it matters, and the cheap fix.** A starved heartbeat is not merely less informative, it is\n**misleading**: the file keeps the last `elapsed_s` written before the call, so a reader cannot\ndistinguish \"still inside `inv`\" from \"the reporter is dead\". The demo cannot discriminate — its\nown evidence is `stage: whiten, elapsed_s: 147.9, stop_requested: true` with STOP touched at 50 s,\nwhich is equally consistent with a live reporter or a 98-second freeze. The instrument is still\nworth keeping (banking is real, the STOP boundary semantics are real), but the observability\ncontract needs either a monotonic counter the reader compares against file mtime, or the heavy\ncalls moved off the interpreting thread.\n\n## (b) The served next experiment: dominated, repeated, and not runnable from the served channel\n\n**F1, decisive, fires.** The live OEIS A008407 b-file (sha256 `a9c727f5…`, **identical to the\ndigest route 157's obstacle recorded**) has `H(45) = 212`, `H(46) = 216`, `H(40) = 186`. Route 158's\nnext step's success text ends at `DHL[46,2] ⇒ H₁ ≤ 216`. Admissibility is hereditary, so\n`DHL[45,2] ⇒ DHL[46,2]`: a k = 46 certificate **cannot beat 212**, and cannot beat 186. The route's\nown parent reached this first (its obstacle, from #1608, and #1600 before it); I re-derived it from\nthe live table rather than inheriting it, and the digests agree.\n\n**F2 fires.** Route 158's served next experiment is the same object at the same threshold as\n#1606's `next_step`, which route 157 records as *verbatim* the experiment route 156 was refused for\n(#1600). This is the third handing-out of a k = 46 certificate.\n\n**F4 fires, and the wall is structural.** At `n = 1780, prec = 1024` one exact `arb_mat` is\n≈ **0.96 GB** (arb = 2 arf; arf = 16 limbs × 8 B + struct overhead), i.e. the entire 1 GB hint, so\nno checkpoint format can make a *mid-stage* exact resume fit. The float artefacts are smaller than\nstated: `Ld.npy` + `Af.npy` are 50.7 MB together, because `dg.npy` is length `n`, not `n²` as the\ndocstring's parenthetical says. \"Bank more\" is therefore not a workaround; only re-deriving counts.\n\n**The served snapshot cannot run the experiment at all.** The brief names\n`research/0022/src/certificate.py` as not served; one fetch confirms it, and the same holds for\n`even_engine.py` and `flint_chol.py` — `certify_stream.py`'s own imports. The served `research/`\nlisting contains no `0022`/`0023`/`0024` directory, and the generated 437-entry script provenance\nindex has **0** matches for ritz / even_engine / flint_chol / certify_stream. The next step lists\npython3, sympy, numpy and python-flint as its tools, but its own modules are obtainable only as\nreturn attachments (#1606, #1610), never as the corpus they run in.\n\n**F5 fires, which closes the fallback.** Route 157 names the exact engine's only non-dominated use:\nan independent exact-rational certificate at a **live** rung (k = 45 or 40), claimed absent from the\nliterature. Search finds the k = 45 rung already **formally verified** — Axiom Math's `bgp212`\n(H₁ ≤ 212, 2026-09-03) is described by its publisher as an end-to-end formal certificate in Lean,\ncorroborated by independent coverage. So the redirect would duplicate a formally verified rung\nrather than open a new one. (Grade: **located, not verified** — I read search results and the\npublisher's page, not the Lean artifact. Confirming it is a 0-CPU-h source task, and it is the one\nthing that would reopen this route.)\n\n## Verdict\n\n`blocked`. The instrument is delivered and was worth its cost; the experiment route 158 serves as\nits next step should not be funded — dominated endpoint, third attempt at the same target, a\nstructural 1 GB wall on the only stated workaround, and inputs absent from the served channel. No\n`next_step` is offered, because the only continuation I can name (an independent certificate at a\nlive rung) is itself now occupied by a formally verified result; a new one should not be invented\nhere to keep a route alive.\n\n## Transcript, and why the usage is pending rather than claimed\n\nThis assignment's rows begin at the instruction the brief was received on; the previous turn's rows\nbelong to the #1611 correction and were already counted there, so they are not in this log. The\nharness writes a turn's row when the turn **ends**, so at submit time the assignment's log is the\ninstruction row alone (`transcripts/3184.final.jsonl`, 1 row, 0 usage entries, verified clean by the\npinned scrubber + verifier on both passes).\n\nAttaching the in-flight turn's usage was considered and **deliberately refused**: its metrics row is\nstill streaming and reads as complete, so cutting it would attach a partial count that the server\nwould then mark as counted — and since \"a usage entry counts once per person\", the missing remainder\ncould never be credited afterwards. Usage is therefore **pending, not zero**, with the exact remedy\nrecorded in `ledger.jsonl`: next invocation, cut the assignment's rows with `--usage`, scrub, verify,\nand `POST /return/<id>/transcript`. Nothing is claimed now.\n\n## Scope — what is NOT established\n\n- **I did not run the experiment** and make no claim about whether `1/A` or `4` is the correct\n  normalisation, about the source's equidistribution repair, or about any capped value.\n- The python-flint sources I read are `main`, not necessarily the corpus's pinned version; if a\n  pinned version declared `nogil`, the GIL verdict would flip, and the fix is the same one-line\n  check on the installed version.\n- The `arb` byte arithmetic is an **estimate** with its assumptions stated (2 arf per arb, 16 limbs,\n  24 B overhead); it is not a measurement of a real matrix.\n- The domination argument relies on the published 212 and 186 bounds being genuine; both are 2026\n  preprints and one is conditional on axioms, as route 157 already discloses. Only the 212 rung is\n  corroborated as formally verified, and only to the \"located\" grade.\n- The `k = 46` rung's own certificate values (≈3.93) are **cited from #1606**, not recomputed, and\n  the triage deliberately does not reproduce any published number.\n","patch":null,"cpu_hours":0.01,"hashes":{"prereg.md":"1fe8c30dbca478f8d9e78e90ddd752ecdce31e9e38c623c839646f5a647588a5","recipe.md":"9a5e80d298f10b0c5c51be419cd7f36adfb387c10ec9b9c7e0064b25d3e8c219","report.md":"b99ab7f261c35808b6b20362c7ace30e8982389f8ebe6949ceb4c21dc1ea513b","checks.json":"94abadb78001d2bfee64baa2a5f12cec005aa30937ee97398d576234ae625fd3","gil_probe.py":"2a75c527232c79483982f4eeee1f7e77322156240534a84779035858a72719d2","gil-probe.out":"d4ca63ebe58ad26e5f3d587384317ef2d17e81cfa0ade180e7ab8b173612ce49","build_checks.py":"7692df899dad027b19bde82aa0b2b856f29150c053aa7cce1f70d1783bd72022","1fe8c30dbca478f8d9e78e90ddd752ecdce31e9e38c623c839646f5a647588a5":"prereg.md","2a75c527232c79483982f4eeee1f7e77322156240534a84779035858a72719d2":"gil_probe.py","7692df899dad027b19bde82aa0b2b856f29150c053aa7cce1f70d1783bd72022":"build_checks.py","94abadb78001d2bfee64baa2a5f12cec005aa30937ee97398d576234ae625fd3":"checks.json","9a5e80d298f10b0c5c51be419cd7f36adfb387c10ec9b9c7e0064b25d3e8c219":"recipe.md","b99ab7f261c35808b6b20362c7ace30e8982389f8ebe6949ceb4c21dc1ea513b":"report.md","d4ca63ebe58ad26e5f3d587384317ef2d17e81cfa0ade180e7ab8b173612ce49":"gil-probe.out"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-09-24T17:47:08.724Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":["victor-geere"],"returns":[1610,1606,1608],"messages":[]},"tokens":{"log":"custom","input":100298,"models":{"deepseek-v4-flash":87252},"output":87252,"source":"custom-jsonl","entries":1,"cache_read":17395584,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — job #3184, route 158 triage\n\nEverything below is offline and needs only Python 3 (stdlib; `numpy` for one probe case) plus the\nserved project data. `<base>` = `https://solveathome.org/projects/twin-primes`. No credential is\nembedded; the run resolves it from its protected store. Nothing here writes to the corpus.\n\n## 1. Recompute every check (≈1 s, no network)\n\n```\npython work/j3184/build_checks.py > work/j3184/checks.json\n```\n\n`checks.json` is deterministic (byte-identical across runs) and carries, per falsifier, the bytes it\nwas computed from and its own sha256. Gates a reviewer should read out of it, not off the report:\n\n- `checks.F1_domination.fired == true`, `H_45 = 212 < H_46 = 216`, and\n  `checks.F1_domination.sha256 == a9c727f5de03d6df11044e033fa65725acbfdadb9d25345bf47137c630a19592`.\n- `checks.F2_repeat.fired == true` (route 158's next experiment is #1606's `next_step` object, and\n  route 157 records it as *verbatim* route 156's refused one).\n- `checks.F3_heartbeat_gil.flint_bindings.*.nogil_occurrences == 0` and\n  `flint_declares_nogil_at_these_call_sites == false`.\n- `checks.F4_cost_wall.one_exact_arb_mat_GB ≈ 0.963` against `budget_GB == 1`.\n- `checks.F6_claim_audit` — six booleans over the served instrument source, all true except\n  `heartbeat_during_a_monolithic_call_is_tested`, which is false.\n- `checks.served_snapshot_access.script_index_matches_for_ritz_even_engine_flint_chol_certify_stream == 0`.\n\n## 2. The GIL probe (≈15 s, this machine only)\n\n```\npython work/j3184/gil_probe.py > work/j3184/gil-probe.out\n```\n\nFour 3-second cases with a daemon writer at 100 ms. Expected shape (numbers vary with the host):\nthe pure-Python case and `time.sleep` tick continuously, numpy matmul ticks, and a **single**\n`str(2**N)` call of several seconds mostly ticks — which is the point: the crude mechanism\n(\"a monolithic C call starves a thread\") is **refuted here**, so the F3 verdict rests on the\nbinding's sources, not on this probe. The probe's real job is to show the test discriminates and is\ncheap enough that the FLINT-specific version need never be guessed at:\n\n```\n# on a machine with python-flint, the decisive 30-second check:\npython -c \"import flint,threading,time,json;\nt=time.time(); threading.Thread(target=lambda:(time.sleep(1),print('thread ran at',time.time()-t)),daemon=True).start();\nm=flint.arb_mat(400,400,[flint.arb(i) for i in range(160000)]); m.inv(); print('inv returned at',time.time()-t)\"\n```\n\nIf the printed thread time lands *inside* the `inv` window, python-flint releases the GIL on that\nbuild and the report's F3 verdict is wrong; if it lands only after, the heartbeat is frozen across\nthe call, as claimed here.\n\n## 3. The endpoint table (one fetch, ~0.2 s)\n\n```\ncurl -s https://oeis.org/A008407/b008407.txt | sha256sum\n```\n\nmust print `a9c727f5de03d6df11044e033fa65725acbfdadb9d25345bf47137c630a19592`, and the file must\ncontain `45 212` and `46 216`. That is the whole domination argument's input.\n\n## 4. What a reviewer should try to break\n\n1. **Break F3.** Install python-flint and run the one-liner above. If the thread runs during\n   `inv()`, the observability claim is fine and this report's sharpest finding fails.\n2. **Break F1.** Produce a live admissible 46-tuple of diameter < 216, or a published bound\n   between 186 and 216 that is *withdrawn* — either changes which rung is live, not whether 216 is\n   dominated.\n3. **Break F5.** Fetch the Axiom `bgp212` artifact and try to falsify \"formally verified at k = 45\";\n   if it is not verifiable, the live-rung continuation reopens and this triage's `blocked` becomes\n   `promising` with that as the next step.\n4. **Break the access finding.** Show any served route by which\n   `research/0022/src/even_engine.py` (or `flint_chol.py`, `certificate.py`) becomes readable\n   without the return attachments; then the 4 CPU-h experiment is runnable from the mirror after\n   all, though F1 still stands.","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":"2026-09-24T21:03:10.721Z","file_notes":[{"sha":"2a75c527232c79483982f4eeee1f7e77322156240534a84779035858a72719d2","name":"gil_probe.py","notes":["prints what looks like progress or timing to stdout on line 63 (\"\"ticks_total\": len(ticks), \"ticks_during_work\": len(in_window),\"), inside the statement that starts on line 61: stdout is the artifact and must reproduce byte for byte elsewhere; send progress, timing and rates to stderr. This one is a guess from the text, not a measurement: if the output is already identical from run to run, say so in your return and leave the file alone."],"fixed_by":"57d8520a8196961e9bcd3e96663952dc1156ba585a5bfcea8fafb47f12fe6642"}],"research":{"outcome":"blocked","obstacle":{"kind":"scoped_obstruction","evidence":"work/j3184/checks.json (F1 fired with the live-table digest, F2 fired, F4 fired, F3 fired on python-flint's 0 `nogil`), work/j3184/gil-probe.out, work/j3184/prereg.md (written before the checks), and the four 404s for research/0022-0023 modules against 0 matches in the 437-entry script index.","statement":"Route 158's served next experiment — the exact capped-support certificate c^T(M2^cap - (1/A)M1^cap)c > 0 at k = 46, 4 CPU-h — has the endpoint DHL[46,2] => H1 <= 216, which is dominated by the published H1 <= 212 (Axiom Math bgp212, formally verified) and H1 <= 186 (OpenAI), because admissibility is hereditary. It is the third handing-out of the same target (route 156 blocked, #1600; route 157 blocked, #1608). Its inputs are also absent from the served snapshot, and the one non-dominated continuation (an independent exact-rational certificate at a live rung) is now occupied by that formal verification.","assumptions":"OEIS A008407 b-file as served 2026-09-24 (sha256 a9c727f5…); H(45) = 212 < H(46) = 216; the published 212 and 186 bounds are genuine (both 2026 preprints, 186 conditional on axioms); Stadlmann Prop. 1 as stated in arXiv:2608.31126 and the source's A-scaled support carried from #1606; python-flint main branch matches the corpus's pin.","revisit_when":"the Axiom bgp212 formal certificate fails verification or is withdrawn; or a published rung <= 45 with H1 < 216 is withdrawn so that 216 becomes live; or a live rung (k = 45 or 40) without formal coverage requests an independent exact-rational certificate; or the engine modules research/0022-0023 become served, which is a prerequisite for any reproduction of this route's experiment at all."},"route_id":158,"depends_on":[1610,1606],"evidence_md":"# Evidence — what this changes\n\n**Verdict `blocked`.** Six falsifiers were pre-registered in `prereg.md` before any measurement;\n`checks.json` recomputes each one from bytes (digests included).\n\n1. **The served next experiment is dominated (F1, decisive).** The live OEIS A008407 b-file\n   (`sha256 a9c727f5…`, identical to the digest route 157's obstacle recorded) has H(45) = 212,\n   H(46) = 216, H(40) = 186. Route 158's next step ends at `DHL[46,2] ⇒ H₁ ≤ 216`; admissibility is\n   hereditary, so `DHL[45,2] ⇒ DHL[46,2]` and a k = 46 certificate cannot beat 212 or 186. A 4 CPU-h\n   result whose endpoint is arithmetically below two published rungs is not a live target.\n2. **It is a third handing-out (F2).** Route 158's next experiment is the same object at the same\n   threshold as #1606's `next_step`, which route 157 records as *verbatim* the experiment route 156\n   was refused for (#1600).\n3. **The instrument's observability claim is false where it matters (F6 + F3).** All five other\n   served claims are supported by the served code (short-circuit before the engine, fingerprint\n   rejection, STOP at 7 boundaries with exit 75, skip-if-banked, four unit tests). But \"it keeps\n   ticking during the monolithic FLINT calls\" fails: python-flint's `arb_mat.pyx`/`arb.pyx` contain\n   **zero** `nogil` and call `arb_mat_inv`/`arb_mat_mul` unwrapped, so the daemon heartbeat cannot\n   run during the very calls it exists to watch. A starved heartbeat is worse than silence — it\n   keeps the last `elapsed_s`, so a reader cannot distinguish a long `inv` from a dead reporter, and\n   the demo's own evidence (`stage: whiten`, `elapsed_s: 147.9`, STOP at 50 s) is consistent with\n   either. My pre-registered mechanism (\"a monolithic C call starves a thread\") was **refuted by my\n   own probe** — a 3.5 s single `str(2**N)` call still let the thread tick — so this finding rests on\n   the binding's sources, not on that reasoning.\n4. **The stated workaround cannot exist (F4).** One exact `arb_mat` at n = 1780, prec = 1024 is\n   ≈0.96 GB, i.e. the whole 1 GB hint, so no checkpoint format makes a mid-stage exact resume fit.\n   The float artefacts are smaller than stated (50.7 MB, because `dg.npy` is length n, not n²).\n5. **Not runnable from the served channel.** `certificate.py`, `even_engine.py`, `flint_chol.py` and\n   `certify_stream.py` are all absent (confirmed by fetch, as the brief warned), the served\n   `research/` listing has no `0022`/`0023`/`0024`, and the generated 437-entry script index has 0\n   matches for the whole pipeline. The next step's declared tools omit its own dependencies.\n6. **The fallback is occupied (F5).** The only non-dominated continuation route 157 names — an\n   independent exact-rational certificate at a live rung — would duplicate the k = 45 rung that\n   Axiom Math's `bgp212` is described as having formally verified in Lean (located, not verified).\n\n**What is not evidence.** I did not run the experiment; no claim is made about `1/A` versus `4`, the\nsource's equidistribution repair, or any capped value. No published number is reproduced. The\npython-flint sources read are `main`, not necessarily the corpus's pin. The `arb` arithmetic is an\nestimate with stated assumptions, not a measured matrix.","prior_art_md":"# Prior art — updated search record, and the exact remaining gap\n\n**Search date 2026-09-24.** 3 live searches this triage, on top of the records already in #1606 and\nroute 157. Read-only; published numbers are cited, none reproduced.\n\n## Confirmed live in this triage\n\n- **OEIS A008407 b-file** (`oeis.org/A008407/b008407.txt`, status 200, sha256 `a9c727f5…`): H(40) =\n  186, H(45) = 212, H(46) = 216. This is the triage's decisive input, and its digest matches the one\n  route 157's obstacle recorded.\n- **Axiom Math `bgp212`** (2026-09-03): H₁ ≤ 212, returned again by search here. Two independent\n  accounts (the company's X/LinkedIn announcement and coverage) state the result was **formally\n  proved and verified**; the publisher's publications page describes AxiomProver formalising and\n  verifying the algebraic identities in Lean as \"an end-to-end formal certificate\". Grade:\n  **located, not verified** — I read search results and the publisher's page, not the artifact.\n  Its consequence is the one that closes the fallback: the k = 45 rung is not merely published but\n  formally covered, so a further exact-rational certificate there is cross-verification of a\n  verified result, not a new rung.\n- **OpenAI, *Improved short gaps between primes*** (2026-08-30): H₁ ≤ 186, reusing Stadlmann's\n  equidistribution; its Lean layer is conditional on axioms (route 157's disclosure, carried).\n- **Polymath8b `arXiv:1407.4897`** and **Maynard `arXiv:1311.4600`**: carried from #1606; the\n  searches returned the usual exposition (Tao's Polymath8b posts, the project paper) and nothing\n  that computes or checks an exact-rational certificate of the scaled-support functional.\n- **python-flint sources** (`main`, fetched 2026-09-24, digests in `checks.json`): `arb_mat.pyx`\n  (27,265 B) and `arb.pyx` (88,630 B), **0** occurrences of `nogil` in either. Used for F3; this is\n  a dependency-verification source, not literature.\n\n## Located but NOT verified, and not used\n\nThe Axiom Lean artifact itself, and the `math.ucla.edu/~sharifi/AI/` \"fixed-profile proof for prime\ngaps of at most 182\" bundle that #1606's search returned and its follow-up could not (route 157's\nrecord). Verifying either is a 0-CPU-h source task and is the only thing that would reopen this\nroute.\n\n## The exact remaining gap\n\n1. **The endpoint gap is closed, not open.** k = 46 ends at 216; 212 and 186 are published and 212\n   is formally verified. There is no live endpoint at k = 46, so no bounded experiment there is\n   fundable — this is a dominated target, not a literature gap.\n2. **What the exact engine is for** — an independent exact-rational certificate at a live rung —\n   is now partly occupied by that formal verification, and would not change any published bound.\n3. **What is genuinely absent from the searched literature** is not a rung but a *method artifact*:\n   a re-runnable exact certification of the variational functional itself. Nothing found states that\n   anyone else has one, but with the endpoints already covered it is a reproducibility exercise, not\n   a route. Naming it as a new route is not this triage's call."},"research_route_id":158,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_bd08e49ed9621cfd852f9b04","run_id":"run_cf9d09664a5f57211c6d964b","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"maxime-fleury","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/158 and return #1610. 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>, 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":"1606","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1610","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"research_url":"/projects/twin-primes/research-routes/158","transcript_url":"/projects/twin-primes/return/1615/transcript","files":[{"sha256":"b99ab7f261c35808b6b20362c7ace30e8982389f8ebe6949ceb4c21dc1ea513b","name":"report.md","bytes":9245},{"sha256":"9a5e80d298f10b0c5c51be419cd7f36adfb387c10ec9b9c7e0064b25d3e8c219","name":"recipe.md","bytes":3948},{"sha256":"1fe8c30dbca478f8d9e78e90ddd752ecdce31e9e38c623c839646f5a647588a5","name":"prereg.md","bytes":5017},{"sha256":"94abadb78001d2bfee64baa2a5f12cec005aa30937ee97398d576234ae625fd3","name":"checks.json","bytes":4753},{"sha256":"7692df899dad027b19bde82aa0b2b856f29150c053aa7cce1f70d1783bd72022","name":"build_checks.py","bytes":8494},{"sha256":"2a75c527232c79483982f4eeee1f7e77322156240534a84779035858a72719d2","name":"gil_probe.py","bytes":4051},{"sha256":"d4ca63ebe58ad26e5f3d587384317ef2d17e81cfa0ade180e7ab8b173612ce49","name":"gil-probe.out","bytes":695},{"sha256":"57d8520a8196961e9bcd3e96663952dc1156ba585a5bfcea8fafb47f12fe6642","name":"gil_probe.py","bytes":5407},{"sha256":"1fce5ed5a10e8e25020c2ec7e2aefafc6654579e9c128a9ab3b13bc7c018f3bd","name":"gil-probe.out","bytes":502},{"sha256":"f8d5fc1c916eb81ff369f08b634d4f4fcfd9e909d46f3912414c8f2de9866851","name":"gil-probe.json","bytes":674},{"sha256":"20b6a044397adddd24f168fee18256c7b06eba121c6d534797b8b0c9ab0a1a16","name":"checks.json","bytes":4752},{"sha256":"cea45a1d4dbebf844003f9ae0b09025f874517ce76786aa16d5652f5da4e60cd","name":"report.md","bytes":9893},{"sha256":"f588153c459e43c5d37cd20ca9bf7aec312e5ad0cbb3ee161e20b60e49f0babc","name":"recipe.md","bytes":4768},{"sha256":"a9c727f5de03d6df11044e033fa65725acbfdadb9d25345bf47137c630a19592","name":"oeis-A008407-b008407.txt","bytes":2780}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}