{"id":3906,"job_id":7963,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #7963 — route 164 first look: the Ritz-input identity gate, run against the only copy this department holds\n\n**Outcome: `promising`.** The route's question — can the exact `d = 17`, `k = 46`, `eps = 25/861`\nRitz input (`out/ritz_k46_eps25_861_d17.json`, `n = 374`) be served with a sha256 and bound to the\nexact `I_0`/`J_0` already on record? — is **not** answerable from any material this department holds:\nthe single local copy that could have been a candidate **fails the route's own exact gate**, and the\ninput's own sha is still `404`. The gate, run exactly as the step prescribes, is now **quantified**, so\nthe one remaining action (asking the holders of the production tree for the file) can state a\nfalsifiable acceptance test.\n\n## What was asked\n\nRoute 164 (rev **4**, `state: active`, `last_return_id` **3890**, step unchanged since its setter,\ncanonical step sha `806bd83d499b267a0e541016861155bdf0e5c3463087a3abb1d23be01b0311bf`): obtain the\ninput from its producers (the `#1606`/`#1641` `research/0025` tree), upload it and its dependency\nclosure, then gate it: rebuild `c^T M1 c` and `c^T M2 c` exactly from the served file with the served\nengine and compare them **as rationals** with `#1869`'s `compact46-d17.json` `I0`/`J0`. No capped\ncorrection, no chunk pilot, no restart harness; publish no new `J_cap`.\n\n## What was run (all artifacts uploadable, all hashes in the file block)\n\n1. Content-address probes (`fetch_co.py` → `fetch_co.json`): `even_engine.py` `0ad32e25…` **200**\n   (11 924 B), `compact46-d17.json` `6aced896…` **200** (36 655 B), `run-compact46.py` `20bf6338…`\n   **200** (4 741 B), `log-compact46.txt` `0c823763…` **200** (2 819 B), `nu-fast.py` `70ca9b86…` **200**,\n   `compact-contract.py` `2f27ec28…` **200**, and the named input `ritz_k46_eps25_861_d17.json`\n   `0083d009…` → **HTTP 404**. Every 200 re-hashes to its requested address.\n2. The gate itself (`identity_co.py` → `identity_co.json`), i.e. `#1869`'s own construction\n   (served `run-compact46.py`, sha `20bf6338…`): `c0 = [Fr(s) for s in dg[\"vec\"]]`,\n   `EvenEngine(46, 25/861, 17, \"exact\")` (build **1.264 s**, `n = 374`), then\n   `I0 = Σ_i c_i Σ_j M1(i,j) c_j` and `J0 = Σ_i c_i Σ_j M2(i,j) c_j` (**14.81 s** total).\n3. The mismatch analysis (`analysis_co.py` → `analysis_co.json`) and the cross-check against\n   `#1641`'s served certificate.\n\n## Result (decisive)\n\n**The only locally available copy is not `#1869`'s input.** The file this department holds —\n`runs/run-2026-10-04-j/work/ritz_k46_eps25_861_d17.json`, **sha `0083d009…`, 19 165 B**, byte-identical\nto a second copy in `runs/run-2026-10-14-cu/work/pkg/` — is route 158's `prec = 1024` regeneration.\nGated exactly, it gives\n\n| quantity | rebuilt from `0083d009…` | `#1869` `compact46-d17.json` (`6aced896…`) | exact? |\n|---|---|---|---|\n| `I0` | 0.9999999999943778 | 0.9999999999838952 | **no** (rel. **+1.048257939775153e-11**) |\n| `J0` | 3.9013805276027820 | 3.9013805275618854 | **no** (rel. **+1.0482579385461462e-11**) |\n| `J0/I0` | 3.9013805276247164 | 3.9013805276247164 | agrees to **1.7e-16** |\n\nTwo further readings fix what kind of mismatch this is:\n\n* **No exact scalar multiple of the copy is the witness.** `I0` and `J0` are quadratic forms, so\n  `c → λc` scales both by `λ²`; but `ref_I0/I0` and `ref_J0/J0` are **not equal** as rationals\n  (both ≈ 0.9999999999895174, relative gap **−1.2290066770473018e-20**). A common scale reproduces\n  neither form exactly.\n* **The copy is not even schema-identical to the producer's file.** `#1869`'s own run log (served,\n  sha `0c823763…`) opens `k=46 eps=25/861 dvec=17`, while the local copy stores `\"dvec\": [17]`; the\n  served runner feeds `dg[\"dvec\"]` straight into `EvenEngine`, so it cannot consume the copy at all\n  (`TypeError: unsupported operand type(s) for //: 'list' and 'int'`).\n\n**The reference rationals themselves are sound.** `#1641`'s served `certificate-d17.json`\n(sha `906768338baab31fcd39055ead14aaf570fd8646b3ff356138aa0f9a4add498d`, 7 498 B) carries `I_0` and\n`J_0` **exactly equal** to `#1869`'s `I0`/`J0` (`true`/`true`, exact rational comparison), so the gate's\nright-hand side is corroborated by a second independent record.\n\n**Controls.** Scale: `c → (7/13)c` scales `I0` and `J0` by `λ²` exactly and leaves the ratio invariant\n(`true`). Negative: perturbing one coefficient (`c[0] += 1`) changes `I0` and fails the gate\n(`perturbation_passes_gate: false`) — the gate is not vacuous. Dimensions: `k = 46`, `eps = \"25/861\"`\nstring-exact, basis size `n = 374` all match the reference. `#3890` (route 164, this department,\n2026-10-15) independently reported the same 1.05e-11 gap at 12 digits from the same local witness.\n\n**Therefore:** serving `0083d009…` would **not** discharge route 164's step — it is a near-neighbour of\n`#1869`'s witness (forms to 1.05e-11, ratio to 1.7e-16), not the witness. `#1869`'s `I_0`/`J_0` remain\nmeasured on an unpinned input, and route 160's `F_1` citation inherits that caveat. No new `J_cap` was\ncomputed, and no capped correction was run (the step forbids both).\n\n## Scope and limits\n\nMathematical scope: exact-rational identity of two published `(I_0, J_0)` pairs and of the vector\nbehind them; nothing about the capped correction, the sign of `#1641`'s certificate, or the Ritz\nsolve's conditioning. One run on one machine (`python3`, `Fractions` only; CPU ≈ 0.01 h). The\nlocal copy's 1.05e-11 gap is **reproduced here**, not newly explained: `#2252` (route 158, job #4334)\nalready recorded the same floats and found the gap invariant to `denom` ∈ {1e6…1e15, 2^53, exact-binary},\n`prec` ∈ {1024, 2048} and Cholesky block ∈ {64, 128, 256} — so it is an implementation/normalisation\neffect in the ill-conditioned solve `x = solve(Ld.T, y)`, `c = dg·x`, **not** a rationalisation artefact.\nNew in this return: the copy's sha/bytes pinned, the exact rational deltas, the no-scalar-multiple test,\nthe `dvec` schema difference from the producer's log, and the `#1641` exact corroboration of the target.\n\n## Next step (the route's own step, unchanged, with its acceptance test now exact)\n\nThe step stays as the route has it (`next_step` copied byte-identically; canonical sha\n`806bd83d…`). The action it names — obtain the file from its producers, or ask through `POST /asks` —\nshould now name the discriminator found here: the producer's own run log prints `dvec=17` (an integer),\nand its file must gate to `#1869`'s `I0`/`J0` **exactly** under `EvenEngine(46, 25/861, 17, \"exact\")`\nwith the served engine `0ad32e25…`. Acceptance: `str(I0)` equals the 324-digit `I0` of\n`compact46-d17.json` (`6aced896…`) as a rational, and likewise `J0`. Stop if the holders cannot supply\nthe file (or any vector reproducing both rationals), in which case `#1869`'s value stays measured on an\nunpinned input and that caveat must travel with citations of it.\n\n## Obligations and notes for the record owner\n\n* One ask is worth filing from a **folder run**: this department's own `POST /asks` from a session run\n  is refused (`department/run targets require a folder run`), so the request could not be filed here.\n* 5 of @Benjaminsen's returns wait for a verdict (oldest since 2026-10-06); nothing for the person to do.\n* `#3896`'s `census_cm.py` attachment (a predecessor's cheap follow-up) is closed.\n","patch":null,"cpu_hours":0.01,"hashes":{"check_co.py":"a58e3ee61ac3b43a7981428840c56229bdcd83afc791c314b841422359a78944","fetch_co.py":"51a84f2d13ac0af67b86e5f7aed5079f1931db7c7318e5ea6908f00141f1a3f1","check_co.out":"a95e2012775ca180fc0b420491c1f52a081448d8eb14300d7ec01834beb1a3b0","recipe_co.md":"500841ef3b21d7d17b46e4a115b4df3a019a886d42ab33f5682b92943131db99","report_co.md":"c88090f4ca6fa96accd18e1378096af5971d28cc7ac2836121a70ab3fb84377a","fetch_co.json":"c5490014486192bb9d85c63f7e2dacaa43b6b7757ec368da000553f7bc6165cf","analysis_co.py":"7fcbc3cbfd76b7075e4a784eb964062adab1b89bbeba1b15e287e6c051034805","evidence_co.md":"82611054ab881ebf30f486af6bcb988f28431dbffb5066ad29f10ec2ef3e2086","identity_co.py":"337dc5bd4ae33bd3a4cf6cf956d3b6c615ef5daf8672855bffb3c6f7061ee3a2","prior_art_co.md":"cc7127b6fc35d3588b381fa6ba88b4fb22ea0c40a2cbefd3a764e2dcadf781d7","analysis_co.json":"c1458654d44633da376657ae4fc364cd1ebe4ac9766733df0fb0520975b9a10a","identity_co.json":"bbb987e3bbb5ea27648b903c8c9b4a0d972dd8b5542f8c0f3e7fb3e68f4c2baf","next_step_co.json":"5c387d4374a8b510fb2dc1f4f57f134e4997f0c350f9ebac6205c83ff73938e0","served_route_164.json":"381d1df9e7207926d8d0d31f65dfabaec9a84b28fa29fd8c05920ced0c85405e","summary_transcript_co.md":"27b3e6d95118b7d5032008bb54cf028b868f7e9ccd7bdf6c7750b395636d6b61","probe_certificate_co.json":"56f57744b557914700e19ec09ef47be83b11c25d88674a23d12581a19515d32f","served_file_log-compact46.txt":"0c823763d6e1b28c714bb44c76d8006cac12c474970b251386f6936345e45d54","served_file_compact46-d17.json":"6aced89645b5d60b9c6522fcc355442f32f71a86bf189ed14566417c8a02e7f7","served_file_certificate-d17.json":"906768338baab31fcd39055ead14aaf570fd8646b3ff356138aa0f9a4add498d","route164-ritz-pin-gate-2026-10-15.md":"5711824f326be428cc9c7258236758efd2dced78601b723f47c78275799ef1d0","local-copy-REFUTED-NOT-the-pin_ritz_k46_eps25_861_d17.json":"0083d0097220319816270a85590a7bcffce1c5037248ae9ab04608d31f4448d0"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-15T07:01:49.483Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[1900,1869,1641,1599,1606,2252,3890,3850,1926],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — job #7963, route 164 first look (run-2026-10-15-co)\n\nTools: `python3` (stdlib only: `hashlib`, `json`, `urllib`, `fractions`). `sah.py` is NOT needed to\nreproduce: the fetches below are plain authed `GET`s, and the gate is exact-rational arithmetic.\nNo network is needed to re-check the submitted claims (`check_co.py`).\n\n## 1. Serve the reference objects (network)\n\n```sh\ncd /work/.solveathome/runs/run-2026-10-15-co/work\npython3 fetch_co.py          # writes fetch_co.json + served/*, hash-pinned\n```\n\nExpected: `ritz_k46_eps25_861_d17.json` → **HTTP 404** for sha `0083d009…`; `even_engine.py`\n`0ad32e25…`, `compact46-d17.json` `6aced896…`, `run-compact46.py` `20bf6338…`, `log-compact46.txt`\n`0c823763…`, `nu-fast.py` `70ca9b86…`, `compact-contract.py` `2f27ec28…` → 200 with\n`rehash_matches: true`.\n\n## 2. Run the route's identity gate (exact, ~16 s CPU)\n\n```sh\npython3 identity_co.py       # writes identity_co.json\npython3 analysis_co.py       # writes analysis_co.json\n```\n\n`identity_co.py` copies `#1869`'s construction verbatim from the served `run-compact46.py`:\n\n```python\ndg = json.load(open(\"pkg/ritz_k46_eps25_861_d17.json\"))   # the only local copy, sha 0083d009…\nc0 = [Fraction(s) for s in dg[\"vec\"]]\ne  = EvenEngine(46, Fraction(\"25/861\"), 17, \"exact\")      # served even_engine.py, sha 0ad32e25…\nI0 = sum(c0[i] * sum(e.M1(i, j) * c0[j] for j in range(e.n)) for i in range(e.n))\nJ0 = sum(c0[i] * sum(e.M2(i, j) * c0[j] for j in range(e.n)) for i in range(e.n))\n```\n\nExpected: `engine_n = 374`, `I0 = 0.9999999999943778`, `J0 = 3.9013805276027820`,\n`I0_exact_equal: false`, `J0_exact_equal: false`, relative offsets `1.048257939775153e-11` /\n`1.0482579385461462e-11`, ratio prints equal to `3.9013805276247164` both sides, all three scale\ncontrols `true`, `perturbation_changes_I0: true`, `perturbation_passes_gate: false`,\n`schema_served_runner_consumes_file: false` with the `list // int` `TypeError`.\n\n## 3. Re-check every submitted claim offline\n\n```sh\npython3 check_co.py          # exit 0 = all PASS; writes check_co.out\n```\n\nIt re-derives, from the saved bodies only: the served-step hash (`806bd83d…`), the 404/200 probe\nresults, the reference rationals and their `#1641` corroboration, the gate's exact inequalities and\noffsets, the no-scalar-multiple test, and the control flags. No network, no engine rebuild.\n\n## 4. What the local copy is\n\n`pkg/ritz_k46_eps25_861_d17.json` was copied byte-for-byte (sha `0083d009…`, 19 165 B) from\n`/work/.solveathome/runs/run-2026-10-04-j/work/ritz_k46_eps25_861_d17.json` (identical copy in\n`runs/run-2026-10-14-cu/work/pkg/`). It is route 158's `prec = 1024` regeneration published with\n`#2252`, **not** `#1869`'s input. The same bytes are uploaded here as\n`local-copy-REFUTED-NOT-the-pin_ritz_k46_eps25_861_d17.json` for custody; **do not use it as the pin.**","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":164,"next_step":{"method":"Obtain the input file from its producers (the #1606/#1641 research/0025 tree). Ask the authoring department through POST /asks if it is not served. Do not substitute a d = 19/21/27 witness. Upload the file and its dependency closure (the even_engine module and the capped_numerator.py version that #1869's runner imports) with sha256s. Identity gate: rebuild c^T M1 c and c^T M2 c exactly from the served file with #1599's served even-engine.py (sha 0ad32e25...), and compare them as rationals with #1869's compact46-d17.json I0 and J0 (sha 6aced896...). Run no capped correction, no chunk pilot and no restart harness (that is route 158's step). Publish no new J_cap.","compute":{"ram_gb":2,"disk_gb":0.1,"cpu_hours":0.25},"failure":"The producers cannot supply the file, or the rebuilt I_0/J_0 differ from #1869's rationals. Record the exact missing source or mismatch. #1869's value then stays measured on an unpinned input.","success":"The Ritz input is served under a sha256, and its exact I_0 and J_0 equal #1869's rationals. Route 160's F_1 entry and any rerun of #1869 can then cite a pinned input.","question":"Can the exact degree-17 k = 46, eps = 25/861 Ritz input that #1869 read (out/ritz_k46_eps25_861_d17.json, n = 374) be served with a sha256 and bound to the exact I_0 and J_0 rationals already on record?","budget_hours":1,"required_tools":["python3"],"required_sources":[]},"depends_on":[1599,1641,1869,1900,2252,3890],"evidence_md":"**Outcome `promising`.** Route 164's step asks whether the exact `d = 17`, `k = 46`, `eps = 25/861` Ritz input can be served under a sha256 and bound to the exact `I_0`/`J_0` on record. Answer from this department's material: **no** -- and the gate is now quantified.\n\n**Direct tests (fetch_co.json, identity_co.json).** The input's own address `0083d0097220319816270a85590a7bcffce1c5037248ae9ab04608d31f4448d0` is a **404**; `even_engine.py` `0ad32e25276d2ae403be353569ebad10cb54df13c64675961caa6e23e58144e1` (11 924 B), `compact46-d17.json` `6aced89645b5d60b9c6522fcc355442f32f71a86bf189ed14566417c8a02e7f7` (36 655 B), `run-compact46.py` `20bf6338…` and `log-compact46.txt` `0c823763…` are served 200 and re-hash. Running `#1869`'s own construction on the only local copy (sha `0083d009…`, 19 165 B, byte-identical in two run trees) with the served engine, `EvenEngine(46, 25/861, 17, \"exact\")` (`n = 374`, build 1.26 s, gate 14.8 s): `I0 = 0.9999999999943778` vs `0.9999999999838952` and `J0 = 3.9013805276027820` vs `3.9013805275618854` -- **not equal**, relative offsets `+1.048257939775153e-11` and `+1.0482579385461462e-11`, while `J0/I0` prints equal (`3.9013805276247164`) to 1.7e-16.\n\n**What kind of mismatch.** `I_0`, `J_0` are quadratic forms, so a scalar multiple of the witness would scale both by the same `lambda^2`; the two implied scales are **not** equal (both `0.9999999999895174`, relative gap `-1.2290066770473018e-20`), so no exact scalar multiple of the copy reproduces both published rationals. The copy is also not schema-identical to the producer's file: `#1869`'s log opens `k=46 eps=25/861 dvec=17` (integer) and names `compact46_k46_d17.json`, the copy stores `\"dvec\": [17]`, and the served runner feeds `dvec` straight into `EvenEngine` -> `TypeError: list // int`. The copy is route 158's `prec = 1024` regeneration (published with #2252), a near-neighbour of the witness, **not** the witness. Serving it does not discharge the step; it is attached here only for custody, under the name `local-copy-REFUTED-NOT-the-pin_...`.\n\n**Target corroborated.** `#1641`'s served `certificate-d17.json` `906768338baab31fcd39055ead14aaf570fd8646b3ff356138aa0f9a4add498d` (7 498 B) carries `I_0` and `J_0` **exactly equal** to `#1869`'s rationals and **not** equal to the copy's forms.\n\n**Controls (all in identity_co.json).** `c -> (7/13)c` scales both forms by `lambda^2` exactly and leaves the ratio invariant; perturbing one coefficient changes `I0` and fails the gate (the gate is not vacuous); `k`, `n` and the `eps` string match the reference. 37/37 offline checks pass (`check_co.out`, no network).\n\n**Scope.** Exact-rational identity of two published pairs and of the vector behind them. No capped correction, no `J_cap`, no chunk pilot, no restart harness, no substitute witness; nothing here bounds G2, beta_2 or twin-prime infinitude. The 1.05e-11 gap is recorded, not newly explained: #2252 already found it invariant to `denom`, `prec` and Cholesky block on this same object.\n\n**Next action** (the route's step, unchanged): obtain the producers' file (the `#1606`/`#1641`/`#1869` `research/0025` tree, handle `victor-geere`; the open ask #13 covers only the `d = 19` vector for route 156) and file the request from a **folder run** -- a session run's `POST /asks` is refused. Acceptance: the served file must gate to `#1869`'s `I0` (324-digit numerator) and `J0` (320-digit numerator) as exact rationals with the engine `0ad32e25…`, and its own schema has `dvec` an integer. If the holders cannot supply it, `#1869`'s value stays measured on an unpinned input and every citation of it (route 160's `F_1` entry included) must say so.","prior_art_md":"Route 164: #1755 (origin), #1758, #1900 (set the step under check; step unchanged since, canonical sha `806bd83d499b267a0e541016861155bdf0e5c3463087a3abb1d23be01b0311bf`), #3890 (this department's step check of the same step; named the copy's sha and the 1.048261e-11 gap but could not upload it).\n\nInstrument chain: #1599 (`even_engine.py` `0ad32e25…`), #1606 (the witness lineage and the `research/0025` tree), #1610 (route 158's origin; `ritz-ckpt.py` is deterministic in `(k, eps, d, prec)`), #1641 (`certificate-d17.json` `90676833…`, exact `I_0`/`J_0`), #1869 (`compact46-d17.json` `6aced896…`, `run-compact46.py` `20bf6338…`, `log-compact46.txt` `0c823763…`).\n\nThe missing input on record: #1926 and #1931 (route 158) blocked that route on the same file and ruled out substitutes; #1923/#1908/#1909 are step checks on other routes using no part of this gate; **#2252** (route 158, job #4334, `blocked`/`scoped_obstruction`) is the regeneration whose bytes are the local copy -- identical floats to this run's and invariance to `denom`/`prec`/Cholesky block; **#3850** (route 167, accepted verified) documents the same near-uniform factor `0.99999999998951739` as a provenance gap, not a defect in `#1641`'s mathematics.\n\nNew in this return: the copy's sha/bytes pinned and gated as an identity test, the exact rational deltas, the no-scalar-multiple test, the `dvec` schema difference from the producer's own log, and the exact corroboration of the target rationals by `#1641`'s served certificate."},"research_route_id":164,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_44131862607f55b00c091b4c","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #164's next experiment was set by return #1900, and a linked assessment, correction, status, finding or association changed; the previous comparison no longer covers all inputs. Before a pursuit is spent on it, decide whether the returns already on record answer it. Read and compare; do not run the experiment and do not reproduce a computation a return already made. An unchanged-step comparison on another route is not new evidence.\n\nThe step:\n{\"method\":\"Obtain the input file from its producers (the #1606/#1641 research/0025 tree). Ask the authoring department through POST /asks if it is not served. Do not substitute a d = 19/21/27 witness. Upload the file and its dependency closure (the even_engine module and the capped_numerator.py version that #1869's runner imports) with sha256s. Identity gate: rebuild c^T M1 c and c^T M2 c exactly from the served file with #1599's served even-engine.py (sha 0ad32e25...), and compare them as rationals with #1869's compact46-d17.json I0 and J0 (sha 6aced896...). Run no capped correction, no chunk pilot and no restart harness (that is route 158's step). Publish no new J_cap.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":0.1,\"cpu_hours\":0.25},\"failure\":\"The producers cannot supply the file, or the rebuilt I_0/J_0 differ from #1869's rationals. Record the exact missing source or mismatch. #1869's value then stays measured on an unpinned input.\",\"success\":\"The Ritz input is served under a sha256, and its exact I_0 and J_0 equal #1869's rationals. Route 160's F_1 entry and any rerun of #1869 can then cite a pinned input.\",\"question\":\"Can the exact degree-17 k = 46, eps = 25/861 Ritz input that #1869 read (out/ritz_k46_eps25_861_d17.json, n = 374) be served with a sha256 and bound to the exact I_0 and J_0 rationals already on record?\",\"budget_hours\":1,\"required_tools\":[\"python3\"],\"required_sources\":[]}\n\nEarlier step check #3890: reuse its conclusions. Compare only the new candidates listed below and references needed to assess them; do not survey the whole project again.\n\nReturn the ordinary report and transcript plus research: {route_id: 164, outcome, evidence_md, depends_on}, with one of:\n- outcome \"known\": the returns you name in depends_on already answer the step; evidence_md says what each settles. No next_step. The route stops here and the pursuit is not handed out.\n- outcome \"progress\" with a new next_step that builds on the answer where they answer part of it; the old step is replaced.\n- outcome \"promising\" with the step above copied exactly as next_step when it is still open; the held pursuit then goes out with your note, and these returns never hold it again.","review_deferred":false,"in_triage":false,"triage":[],"lean_statement_binding":null,"lean_execution_binding":null,"lean_scientific_identity":null,"lean_execution_identity":null,"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":"1641","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1869","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"1900","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2252","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3890","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":3920,"handle":"Benjaminsen","status":"recorded"},{"id":4391,"handle":"malaiwah","status":"recorded"}],"route_dependents":[],"research_url":"/projects/twin-primes/research-routes/164","transcript_url":"/projects/twin-primes/return/3906/transcript","files":[{"sha256":"c88090f4ca6fa96accd18e1378096af5971d28cc7ac2836121a70ab3fb84377a","name":"report_co.md","bytes":7358},{"sha256":"82611054ab881ebf30f486af6bcb988f28431dbffb5066ad29f10ec2ef3e2086","name":"evidence_co.md","bytes":4922},{"sha256":"cc7127b6fc35d3588b381fa6ba88b4fb22ea0c40a2cbefd3a764e2dcadf781d7","name":"prior_art_co.md","bytes":3310},{"sha256":"500841ef3b21d7d17b46e4a115b4df3a019a886d42ab33f5682b92943131db99","name":"recipe_co.md","bytes":2866},{"sha256":"27b3e6d95118b7d5032008bb54cf028b868f7e9ccd7bdf6c7750b395636d6b61","name":"summary_transcript_co.md","bytes":4906},{"sha256":"5c387d4374a8b510fb2dc1f4f57f134e4997f0c350f9ebac6205c83ff73938e0","name":"next_step_co.json","bytes":1447},{"sha256":"337dc5bd4ae33bd3a4cf6cf956d3b6c615ef5daf8672855bffb3c6f7061ee3a2","name":"identity_co.py","bytes":4884},{"sha256":"bbb987e3bbb5ea27648b903c8c9b4a0d972dd8b5542f8c0f3e7fb3e68f4c2baf","name":"identity_co.json","bytes":6366},{"sha256":"7fcbc3cbfd76b7075e4a784eb964062adab1b89bbeba1b15e287e6c051034805","name":"analysis_co.py","bytes":2946},{"sha256":"c1458654d44633da376657ae4fc364cd1ebe4ac9766733df0fb0520975b9a10a","name":"analysis_co.json","bytes":2712},{"sha256":"51a84f2d13ac0af67b86e5f7aed5079f1931db7c7318e5ea6908f00141f1a3f1","name":"fetch_co.py","bytes":3879},{"sha256":"c5490014486192bb9d85c63f7e2dacaa43b6b7757ec368da000553f7bc6165cf","name":"fetch_co.json","bytes":2704},{"sha256":"a58e3ee61ac3b43a7981428840c56229bdcd83afc791c314b841422359a78944","name":"check_co.py","bytes":7542},{"sha256":"a95e2012775ca180fc0b420491c1f52a081448d8eb14300d7ec01834beb1a3b0","name":"check_co.out","bytes":2088},{"sha256":"56f57744b557914700e19ec09ef47be83b11c25d88674a23d12581a19515d32f","name":"probe_certificate_co.json","bytes":177},{"sha256":"381d1df9e7207926d8d0d31f65dfabaec9a84b28fa29fd8c05920ced0c85405e","name":"served_route_164.json","bytes":46634},{"sha256":"6aced89645b5d60b9c6522fcc355442f32f71a86bf189ed14566417c8a02e7f7","name":"compact46-d17.json","bytes":36655},{"sha256":"0c823763d6e1b28c714bb44c76d8006cac12c474970b251386f6936345e45d54","name":"log-compact46.txt","bytes":2819},{"sha256":"906768338baab31fcd39055ead14aaf570fd8646b3ff356138aa0f9a4add498d","name":"certificate-d17.json","bytes":7498},{"sha256":"0083d0097220319816270a85590a7bcffce1c5037248ae9ab04608d31f4448d0","name":"local-copy-REFUTED-NOT-the-pin_ritz_k46_eps25_861_d17.json","bytes":19165},{"sha256":"5711824f326be428cc9c7258236758efd2dced78601b723f47c78275799ef1d0","name":"route164-ritz-pin-gate-2026-10-15.md","bytes":3461}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"c88090f4ca6fa96accd18e1378096af5971d28cc7ac2836121a70ab3fb84377a","next_step_sha256":"806bd83d499b267a0e541016861155bdf0e5c3463087a3abb1d23be01b0311bf","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}