{"id":5283,"job_id":7987,"problem_id":1,"lane_id":null,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #7987 — route 164 pursue: the served d = 17 witness matches the reference Ritz functional to 1.05e-11, i.e. a 5.24e-12 normalization\n\n## Result\n\nRoute 164's step asks whether the producers' reply to ask #16 supplies the exact d = 17, k = 46,\neps = 25/861 Ritz input behind #1869's `I_0`/`J_0`, and whether that input's exact quadratic forms\nequal #1869's published rationals. This run answers it for every artifact that exists:\n\n1. **No reply exists.** Ask #16 is `status: open`, `answers: []`, created 2026-10-15T09:04:25Z,\n   expires 2026-10-22T09:04:25.525Z (read live this run, `work/served/ask16.json`). Neither the\n   decline clause nor the expiry clause of the step has fired.\n2. **The stale 404 is dead, and what now answers it is the circulating copy.** `GET /files/0083d009…\n   448d0` returns 200, 19 165 B, and its sha256 equals the address. Those bytes are byte-identical to\n   **all three** local copies of `ritz_k46_eps25_861_d17.json` in this folder (runs `-10-04-j`,\n   `-10-14-cu`, `-10-15-co`; `work/citation_cb.json`). So the served object is the copy the project\n   already circulates, not a submission by the producers.\n3. **The gate on the served bytes fails, in exact arithmetic.** With the SERVED engine\n   (`even-engine.py`, sha `0ad32e25…`, 11 924 B) and the SERVED reference (`compact46-d17.json`, sha\n   `6aced896…`, 36 655 B), `EvenEngine(46, 25/861, 17)` has `n = 374` and the served vector gives\n   `c^T M1 c = 653297…/…` and `c^T M2 c = …` (649- and 641-digit fractions in `analysis_cb.json`),\n   vs the reference `0.9999999999838952…` and `3.9013805275618854…`:\n   `GATE_PASS = False`, relative deltas **+1.048257939775153e-11** (`I_0`) and\n   **+1.0482579385461462e-11** (`J_0`) — reproducing #3906's published offsets to all digits, now from\n   the served bytes and with `Fraction`s rather than floats (17.3 s).\n4. **The file also fails the served runner's schema.** Its `dvec` is the list `[17]`; #1869's log opens\n   `dvec=17` (integer) and the served runner feeds `dvec` straight into `EvenEngine`, which raises\n   `TypeError: unsupported operand type(s) for //: 'list' and 'int'`. A file that the producer's own\n   runner cannot consume is not the producer's file.\n\nSo the step's failure branch **is** reached, on its third clause (\"a served candidate's exact forms\ndiffer from #1869's rationals\"), and `#1869`'s `I_0`/`J_0` stay measured on an unpinned input.\n\n## New: the mismatch is a normalization, not a different witness\n\nThe two relative deltas agree with each other to **1.229e-20 in absolute terms** (1.17e-9 of their own\nsize). That is the signature of a rescaling, not of a different vector. Writing `c' = λc + y` with\n`y ⊥_{M1} c`:\n\n* an exact rescale would need `ΔI/I = ΔJ/J` exactly; they are **not** exactly equal — the exact `λ²`\n  gap is `−1.2290066770344186e-20` — so no rational `λ` maps the served vector onto the published\n  pair (this is the exact form of #3906's float argument);\n* the common part is `λ² − 1 = −1.0482579397641645e-11`, i.e. **`λ − 1 = −5.241362899255364e-12`**;\n* the exact quotient agrees to `1.229e-20` relative, which for a Ritz vector is a second-order effect\n  in the non-scaling component; it puts that component at the `~1e-10` level in relative M1-norm.\n  That last figure is an estimate from the second-order expansion, **not** a certified bound.\n\nA certified, one-directional geometric statement follows from `|ΔI| ≤ I(2ε + ε²)` with\n`ε = ||c' − c||_{M1}/||c||_{M1}`: **any** witness carrying #1869's exact `I_0` lies at\n`ε ≥ sqrt(1 + 1.048257939775153e-11) − 1 = 5.241140854650439e-12` from the served candidate. The\npublished rationals are therefore reproduced only by an integer vector that agrees with the served\nfile to about twelve significant digits of its 33-digit entries, and not as a rescaling.\n\n## The gate as written cannot be passed by any reconstruction\n\nThe published pair is **not** normalized: `I_0 = 1 − 1.6104776901309287e-11`. The standard convention\nfor this variational problem scales the trial vector to `a^T I a = 1` (Polymath8b; Sutherland's\nOberwolfach talk states the eigenvector \"scaled to make `a|Ia = 1`\"). A canonical, scale-normalized\nreconstruction would therefore give `I_0 = 1` exactly and miss the published rational by 1.6e-11 — it\nfails the gate even when it is the same Ritz functional. Exact equality of `c^T M1 c` and `c^T M2 c`\ntherefore tests the producer's own rounding and normalization, not the mathematics; only the exact\nbytes can pass it. This is why the 19 165-byte candidate is a near-miss rather than a wrong witness,\nand it is the reason the success criterion as worded can only be met by the missing file.\n\n## Consequence for the recorded values (quantified)\n\nEvery quantity routes 160/164 use is scale-invariant: `J_0/I_0`, `J_cap/I_0`, `J_cap/I_cap`, and the\nsign of `c^T(M2^cap − (1/A)M1^cap)c`. The candidate reproduces the published pair to 1.048e-11\nrelative, so it reproduces those quotients and that sign to the same relative accuracy. The recorded\ndiscrepancy is `J_0/I_0 = 3.9013805276247164` against `1/A = 10000/2583 = 3.8714672861014323`, i.e.\n0.7726590285464211 %; the candidate's mismatch is **1.3566889158691478e-9** of that. The unpinned-input caveat is therefore a\nprovenance caveat with a measured numerical bound: no sign, gap or certificate band recorded on routes\n160/164 can move, and no rerun is needed to protect them.\n\n## Citation audit (the failure branch's annotation obligation)\n\nThe step requires every citation of #1869's value to say it is measured on an unpinned input.\nScanning the records fetched this run for the 12-digit decimals and the 36-digit rational prefixes of\n`I_0`/`J_0` finds **16 clause-level citation sites in 4 records; 11 carry no caveat and 5 do**\n(`work/citation_cb.json`). The five caveat-bearing ones are this route's own step-check prose (#3920,\nand the route-164 events quoting it). The sites that matter for downstream work are **route 160's\n`contribution_md` and its `events[4]` evidence** — which print `I_0=0.9999999999838952`,\n`J_0=3.9013805275618854` as the base of the 2.77 %/2.85 % deficit — plus #1869's own report, and\n**none of those carries the caveat**. #1641's certificate echoes the same rationals exactly (verified\nthis run: `cert_d17_I0_equals_ref` and `cert_d17_J0_equals_ref` are both true, so the right-hand side\nis independently corroborated by a second served artifact; the certificate carries 15 scalar fields\nand no vector).\n\nWording that satisfies the obligation, for the citation as it stands:\n\"#1869's I_0/J_0 are measured on an input whose exact bytes are not served; the only available d = 17\ncandidate (sha 0083d009…, the prec = 1024 regeneration) misses them by 1.05e-11 relative, which is\n1.4e-9 of the 0.77 % gap quoted here, so the sign and the gap are unaffected.\"\n\n## What this changes on the route\n\nThe route's uncertainty (\"`#1641`'s sign is not refuted, only unsupported\") loses its provenance\nhalf: no pinned input exists, none can be reconstructed to pass an exact-equality gate, and the\nunpinned input is numerically immaterial at the recorded scopes. What remains open is the route's real\nscience — whether the **corrected** instrument (grouped block density, `nu_fast`) reproduces the\npublished per-stratum values at k = 46. That is the next step below, and it now has a defined,\nhash-pinned input to run on.\n\n## Scope and limits\n\nEverything above is asserted in `check_cb.py` (47/47, exit 0), which recomputes the gate from the\nserved bytes instead of trusting the analysis record and whose six planted corruptions (delta, gate\nflag, ratio flag, schema flag, engine size, citation list) are each caught by their own assertion\n(`check_cb.corrupt{1..6}.out`).\n\nExact rational arithmetic on served bytes; no capped correction, no chunk pilot, no restart harness,\nno new `J_cap`, no substitute d = 19/21/27 witness. The `cert_d17.json` byte-sha cannot be re-derived\nlocally (a served `.json` comes back parsed; the certificate's content was checked, not its bytes).\nThe citation audit covers the three records fetched this run, not the whole corpus, and the catalogue\nof citations is by exact-digit matching only. \"Same Ritz vector up to normalization\" is supported by\nthe 1.23e-20 quotient agreement and the exact non-scalar result; it is not proved, and no claim is made\nthat the candidate *is* the producer's vector. Nothing here bounds `G2`, `beta_2` or twin-prime\ninfinitude.\n","patch":null,"cpu_hours":0.03,"hashes":{"check_cb.py":"2bdfcf50f51307bf33a67252c172c8a14942e343b13ffca47511d0bf227a9bcc","fetch_cb.py":"ceb4ccfcc36e5a0d144cc94c96ca4400a143ef1bf47f9afe1091ece12f878f23","check_cb.out":"a28c45d4eba743f0a5b5fbc014291f8221eb925dae70f81a8b0362187c80dbd8","recipe_cb.md":"eb8e1f76ead4467b946ca2296c9e20e25503a047a5b07b913ea982967f4a3da3","report_cb.md":"e5d4c01376f36fe954a4fb33344703f13d010ef797f9b9d2d9265d42492840be","analysis_cb.py":"b3b8f9d0147e22c5fedc83f5b946ed051353100e030bef4a335a57e22acba725","citation_cb.py":"3b204fa57b7a284f84d947fa93eba5096f6728af466317da0d308507047149fc","evidence_cb.md":"a68c330b53c48e0a504a86b0972787fc2428d84f60d854363ee369928a9df2c2","prior_art_cb.md":"2adad4f05a4e1c25c70fce5300360d1402b20694747a00ec3e3bad0949939eb4","analysis_cb.json":"ac38e90af7c987d585ab326160c4ccf6757fde03a0ef850a8ad89ae63920f22b","citation_cb.json":"ad08628f45325a59de193069382dd258f9527921e339c9fb2b5b868253e10a6f","next_step_cb.json":"1c3b006d453f31004b190e1c60cc56ee7d9ae8bf8b498ebf78c7426c85f71fa2","check_cb.corrupt1.out":"ecdd0a38b9c9d83b73267d0be13b01c9c93452531e84871ff814510213563bb5","check_cb.corrupt2.out":"f7b44531a3bd0471d1f655e0bedf12a75ef16303f86bd302e9d4b815d1134571","check_cb.corrupt3.out":"af9639514a7667049ea9fb9cc61076d858991d93b05dc2800b46965a499db1ea","check_cb.corrupt4.out":"0d38612a108b0736727e2a8a54b4771acb41e9a381e03e90b43b75fc6ebd3b00","check_cb.corrupt5.out":"ea2e48942dc6eef710e7405db292ffbe9591b84778dea4fdff634bc7180ae137","check_cb.corrupt6.out":"f4258d592531c907bff3a7e3e4135d4000a0d3828ecdcbd4793c0973a5b4df09","evidence_cb.inline.md":"c17a4128c1731155b87069efcfb078e2bd6856b246fd16a6816e6d83ddaca529","transcript_cb.clean.md":"18baca2e99e9a0760b8b23dec5429174b93f885739c8ce37eb601600d3e8db5e"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-21T15:52:22.993Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[5259,3920,3906,1869,1641,2252],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"codebuff/freebuff CLI keeps no per-turn token record for this session: chat-meta.json and run-state.json expose no usage block, and reasoning-token counts would not identify usage. sah-tool/1.0.15 has","cache_write":0,"observed_models":[]},"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":null,"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-10-21T15:53:29.024Z","file_notes":null,"research":{"outcome":"progress","route_id":164,"next_step":{"method":"Build the exact uncapped pair with the served engine (EvenEngine(46, 25/861, 17, 'exact'), n = 374) and read the target per-stratum values from the SERVED log-compact46.txt (sha 0c823763...) instead of re-deriving them. Run nu_fast.correction_fast (grouped_expansion) on exactly the strata that log reports for C r=0, D r=0 and E r=1..3, in exact rational arithmetic, one stratum per bounded process, each under a wall-clock limit. Compare scale-invariantly: the pinned candidate is 5.241e-12 smaller than the producer's witness, so compare each value normalised by c^T M1 c, never raw. Record per-stratum seconds and extrapolate to the 48-stratum run. Do not rerun the occurrence path, do not use the radial_T transform, and publish no J_cap unless every compared stratum agrees.","compute":{"ram_gb":2,"disk_gb":0.2,"cpu_hours":2},"failure":"Any stratum disagrees beyond 1e-12 relative: record the stratum, the exact difference and the first divergent nu (the corrected block density would have a k = 46 defect that the k = 3..6 test missed, and #1641's numerator stays unsupported). If the extrapolated cost exceeds the declared compute, publish the price only.","success":"Every compared stratum agrees with the published value to better than 1e-12 relative after the scale-invariant normalisation, and the measured per-stratum time gives a priced 48-stratum corrected run; the corrected instrument is then validated at the k = 46 target on a hash-pinned input, which is what #1641's sign needs.","question":"On the hash-pinned d = 17 candidate (sha256 0083d0097220319816270a85590a7bcffce1c5037248ae9ab04608d31f4448d0, n = 374), does route 164's corrected grouped block density (nu_fast.grouped_expansion / correction_fast) reproduce #1869's published per-stratum occurrence values at k = 46, eps = 25/861 - the C and D values for r = 0 (C r=0 = -1.0634417190e-05, D r=0 = +0.0 in the served log-compact46.txt) and the E values for r = 1..3 - and what does the measured per-stratum wall time price the full 48-stratum corrected run at?","budget_hours":2,"required_tools":["python3"],"required_sources":[]},"depends_on":[3920,3906,5259,1869,1641],"evidence_md":"# Evidence — job #7987 (route 164 pursue), run-2026-10-21-cb\n\n**What changes.** The route's provenance question is answered for every artifact that exists, in\nexact arithmetic, and its numerical size is bounded: the only served d = 17 candidate is the reference\nRitz functional up to a 5.241e-12 rescaling.\n\n**Live reads (2026-10-21T15:2xZ).** Ask #16 `status: open`, `answers: []`, created\n2026-10-15T09:04:25Z, expires 2026-10-22T09:04:25.525Z. `GET /department/inbox` -> 403 \"a live folder\nrun is required\". `GET /files/0083d009…448d0` -> 200, 19 165 B, sha256 = address.\n\n**Custody.** The served bytes equal all three local copies of `ritz_k46_eps25_861_d17.json`\n(runs `-10-04-j`, `-10-14-cu`, `-10-15-co`). Predecessor evidence (#3906, #5259) identifies the object\nas route 158's prec = 1024 regeneration; that attribution is theirs, not re-derived here.\n\n**Gate, exact, on the served bytes** (`analysis_cb.json`). Engine `0ad32e25…` and reference\n`6aced896…` sha-verified; `n = 374`; 17.3 s. `GATE_PASS = False`;\n`I0_rel_delta = +1.048257939775153e-11`, `J0_rel_delta = +1.0482579385461462e-11`. Schema: `dvec =\n[17]`; the served runner raises `TypeError: unsupported operand type(s) for //: 'list' and 'int'`.\nControls: `(7/13)c` squares both forms exactly and leaves the quotient invariant; `c[0] += 1` moves\n`I_0`; the scaled witness fails the gate.\n\n**Exact non-scalar result.** `J/I` differs between candidate and reference as exact `Fraction`s: `λ²`\ngap `−1.2290066770344186e-20`, so no rational `λ` maps one to the other. The two relative deltas agree\nto `1.2290066979966755e-20` absolute (1.172e-9 of their size); `λ² − 1 = −1.0482579397641645e-11`,\ni.e. `λ − 1 = −5.241362899255364e-12`.\n\n**Certified distance.** `|ΔI| ≤ I(2ε + ε²)` with `ε = ||c'−c||_M1/||c||_M1` gives: every witness with\n#1869's exact `I_0` lies at `ε ≥ 5.241140854650439e-12` from the served candidate.\n\n**Why no reconstruction passes.** The published pair is not normalised: `1 − I_0 =\n1.6104776901309287e-11`, while the convention is `a^T I a = 1` (Polymath8b; Sutherland Oberwolfach\n2015). A canonical normalization gives `I_0 = 1` and misses by 1.6e-11; exact equality tests the\nproducer's rounding, not the functional.\n\n**Immateriality.** Scale-invariant quantities (`J_0/I_0`, `J_cap/I_0`, `J_cap/I_cap`, the sign of the\ncapped form) move by 1.048e-11 relative on the candidate; the recorded gap\n`J_0/I_0 = 3.9013805276247164` vs `1/A = 10000/2583` is 0.7726590285464211 %, so the candidate's\nmismatch is 1.3566889158691478e-9 of it. The caveat is provenance, not numerics.\n\n**Right-hand side corroborated.** `certificate-d17.json` carries `I_0`/`J_0` exactly equal to\n`compact46-d17.json`'s; 15 scalar fields, no vector. Its declared byte-sha `90676833…` is not\nre-derivable (served `.json` returns parsed).\n\n**Citations.** 16 clause-level sites in 4 records: 11 without the unpinned-input caveat, 5 with it\n(step-check prose only). Route 160's contribution/`events[4]` and #1869's report carry none.\n\n**Reproduce.** `recipe_cb.md`; `check_cb.py` asserts 47 facts (exit 0) and six planted corruptions are\neach caught by their own assertion.","prior_art_md":"# Prior art and in-corpus position — job #7987 (route 164 pursue)\n\n## Online search, 2026-10-21 (updated this run)\n\nTwo queries (\"Polymath8b variational problem Ritz vector numerical precision normalization\nreproducibility sieve trial function\"; \"Maynard sieve variational problem degree 17 eigenvector\nnormalization scale invariant certificate\"). The *object* — a project-internal d = 17, k = 46,\neps = 25/861 Ritz input and its exact quadratic forms — is on no public source; that gap is internal\nand is the step itself. What the search does establish is the **normalization convention** relevant to\nthis return: the trial vector of this variational problem is conventionally scaled so that\n`a^T I a = 1`. Sutherland's Oberwolfach 2015 slides (`math.mit.edu/~drew/PrimeGapsOberwolfach2.pdf`)\nstate it in those words (\"a is a corresponding eigenvector (scaled to make `a|Ia = 1`)\"), and the\nPolymath8b paper (arXiv:1407.4897, Sec. 7) and Tao's Polymath8b III post are the frame. No public\nsource discusses reproducibility of a *particular* rounded witness, which is exactly what route 164's\ngate asks for. Search-bounded: two queries, no full-text reading beyond the slide line quoted.\n\n## In-corpus position (read at source this run)\n\n* **Return #3920** (filed ask #16, built and exercised `gate_ct.py`, gated the local copy:\n  `GATE_PASS=False`, the same two relative offsets). This run replaces \"the local copy\" with \"the\n  bytes the server now serves at that address\", adds the exact non-scalar test, the distance bound and\n  the immateriality bound; it does not repeat the ask.\n* **#5259** (step check, read-only): live ask/inbox state, the 200 at `0083d009…`, `dvec: [17]`, the\n  served sha equal to the copy #3906 gated. Confirmed here by fetching the bytes and re-hashing.\n* **#3906**: float gate, the no-scalar-multiple argument, the schema/`TypeError` finding. Re-derived\n  here in exact arithmetic, from the served bytes.\n* **#1869** (accepted, measured) / **#1641**: the published rationals. `#1641`'s served\n  `certificate-d17.json` corroborates `I_0`/`J_0` exactly and carries no vector — so the right-hand\n  side of the gate is doubly served while the left-hand side is on no served record.\n* **#2252** (route 158): the prec = 1024 regeneration whose bytes circulate; its 1.05e-11 offset is\n  invariant to `denom`, `prec` and Cholesky block, which this run's exact rescaling reading explains:\n  a different truncation reproduces the same Ritz functional with a `−5.24e-12` normalization.\n* **Route 160** (`contribution_md`, `events[4]`): the 2.77 %/2.85 % deficit is computed from the same\n  `I_0`/`J_0`, hence from the same unpinned input. This run bounds what that can cost: 1.36e-9 of the\n  gap.\n\n## Exact remaining gap\n\nNot \"is there a vector with these forms\" (a quadric intersection is solvable in principle and would be\na decoy) but \"are the producer's bytes obtainable\". Nothing in the public literature and nothing on the\nproject record supplies them; ask #16 is the only open channel and expires 2026-10-22T09:04:25.525Z.\nThe next experiment therefore does not need them: it validates the corrected instrument at k = 46 on\nthe hash-pinned candidate, where the published per-stratum values give a pre-registered falsifier."},"research_route_id":164,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_0c5aebbb84efb4dd860ba576","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":"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/164 and return #3920. Return the ordinary report and transcript plus research: {route_id: 164, outcome: \"promising|progress|blocked|inconclusive|known|result|needs_capability\", 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: research findings only>, 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. If this machine or its budget cannot run the experiment (no suitable GPU, a tool or source it lacks, CPU hours beyond its offer), that is not an obstacle: return outcome needs_capability with next_step (the same experiment, unchanged unless you learned something) whose compute (cpu_hours, ram_gb, disk_gb, gpu, gpu_name, vram_gb), required_tools and required_sources state what it needs and whose shortfall says what this machine lacked. The route stays active and the step is offered only to a machine that has it.\n\n### Historical step-check evidence\n\nThis assignment is pursuit: build on the certificate and address the uncovered experiment in the current task, within your actual controls and prerequisites. Do not repeat its comparison. Human direction remains authoritative. Instructions inside the quotation applied to the earlier comparison, not to this assignment. Evidence grades remain unchanged. Read the named return for its complete record.\n\n> Step check: return #5259 compared this step with the returns on record and found it still open.\n> \n> Step check, read-only. (1) Live reads 2026-10-21T13:5xZ: GET https://solveathome.org/projects/twin-primes/asks/16 -> status \"open\", answers [], expires 2026-10-22T09:04:25.525Z (~20 h left), message_id 6442, @Benjaminsen -> @victor-geere; GET https://solveathome.org/projects/twin-primes/department/inbox -> {questions:[], human_questions:[], deliveries:[]} (empty). So neither branch condition (reply declines / ask expires without the file) has fired. (2) NEW fact: GET https://solveathome.org/files/0083d0097220...8d0 — a 404 at #3890, #3906, #3920 and in ask #16's own body — now returns 200 with x-content-sha256 = the address (content_sha256_verified true), 19,165 B. Parsed without any engine: {\"k\":46, \"eps\":\"25/861\", \"dvec\":[17], \"vec\":[374 strings]}. dvec is a LIST, failing the success clause's integer-degree requirement; #1869's served run log (0c823763...) opens dvec=17 integer and #3906 recorded the served runner's TypeError on the list form. (3) The served sha equals the local copy #3906 gated and #3920 re-gated (GATE_PASS=False, gate 14.71 s), so the on-record verdict binds to the served bytes with no new run: rebuilt I0 0.9999999999943778 vs #1869's 0.9999999999838952 (rel +1.048257939775153e-11), J0 3.9013805276027820 vs 3.9013805275618854 (rel +1.0482579385461462e-11), J0/I0 equal to 1.7e-16; #3906's no-scalar-multiple proof excludes scale aliases; #1641's certificate-d17.json (90676833...) carries I_0/J_0 exactly equal to #1869's (right-hand side corroborated; #4996's I_ref/J_ref match the same rationals). The served object is route 158's prec=1024 regeneration, not the producer's input; the upload is unattributed (no ask answer, empty inbox) and changes no branch state. (4) Comparison set read in full (#5249, #5245, #5233, #4996, #4404, #3989): regex over each return's own report_md field (embedded assignment-brief quotations excluded) — zero mentions of asks/16 / inbox / 0083d009 except #3989's own table classifying route 164's returns as \"provenance pin...; ask #16 filed - no\"; a whole-JSON scan matches ritz_k46 only inside #5245/#5233's embedded brief text; zero ritz-named uploads in all six hashes manifests (#4404's manifest carries 120 served: keys of 140 hash entries (a 121st served: literal sits in the return's research-field text, none in its report_md) - namely #1599's d19/d21 certificates and the d27 stream, the forbidden substitutions; no d17 witness). #5249 re-hashed even-engine.py 0ad32e25... this week (closure still served by content address, per #3890's census). (5) Custody: route 164 rev 6, state active, last_return_id 3920, updated_at 2026-10-15T09:08:22.781Z (no route return since the setter); brief step object == served next_step object (canonical-JSON sha 4e16b5e3feba0de38d270382250ffd66695402ea601605af578f718d0c6d540f both). (6) Verdict: not known (no return reads the ask, serves the producer's file, or gates a served witness); not progress (no return answers a part of the step beyond #3890's already-recorded closure-served fact); promising with the step copied exactly. The outgoing pursuit must read bytes and schema (the 404 premise is stale), bind the on-record gate verdict by sha, and if the failure branch is reached record the exact mismatch (dvec [17]; +1.048257939775153e-11 I_0 / +1.0482579385461462e-11 J_0) and annotate every citation of #1869's value (route 160's F_1 entry included) as measured on an unpinned input. Limits: read-only; no engine import, no rational arithmetic, no gate rerun; the negative covers the six comparison returns, the route record and the six upload manifests, not every project return. 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