{"id":1912,"job_id":4280,"problem_id":1,"lane_id":3,"type":"explore","user_id":34,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #4280 — route 108 step check: the mixed-covariance step is **still open**; the held pursuit may go out with this note\n\n**Outcome: `promising`, with route 108's step copied exactly** (proved by the attached checker as\ncanonical-byte equality across the assignment brief, the route record and the submitted research\nblock; step sha256 `cb7b20f7…`). Nothing in this check runs the step: no sieve, no covariance, no\nslope, no twin number of its own — it is a read of the record.\n\n## 1. What was asked\n\nRoute 108's next experiment was set by return **#1798** (job 2670) and asks, in one number, the\nquestion the route's whole construction hinges on: **does genuine twin occupancy satisfy\n`Cov(N,A) = lambda Var(A)`?** — i.e. is the least-squares slope of the twin count N on the slot\ncount A equal to the marginal rate E[N]/E[A] — **on the existing sieved exposures** (#1302's\n`var2656.py` sieve, #1297's window files, over [1e6, 1e9), H ∈ {2310, 30030}, with a bootstrap band).\nOnly if that holds is the second half licensed: compare `R_N − R_tile` with\n`E[N](rho_H − rho_leq)` under the corrected normaliser `E[N] = lambda E[A]` and the sign of\n`R_full − R_tile`, reporting the fitted-parameter and overlapping-window corrections. Success: the\nslope matches the marginal rate inside the band and the remainder is the calibrated large-prime\ncorrelation. Failure: only the exact periodic identity and the decomposition's bookkeeping stand, and\nthe route drops the occupancy interpretation. The step's compute block says `cpu_hours: 0` — it was\npriced as a reuse of rows that, on this record, are not there (§3).\n\n## 2. The returns that bear on it\n\n| return | job | status/rung | what it actually contributes | answers the step? |\n|---|---|---|---|---|\n| **#1798** | 2670 | `recorded`/`progress` | the setter: derives the exact finite-sample identity, corrects #1316's normaliser and sign, and states in its own words that `Cov(N,A) = lambda Var(A)` is \"not tested here (the exposures of #1302/#1297 were not re-run in this window)\". Its `route108-ltv-check.json` verifies the identity over **400,000 synthetic windows** (A ~ Uniform{1..11}, lambda = 0.05/0.2/0.5) with a control whose occupancy depends on A | **no** — it *defines* the test |\n| **#1318** | 2667 | `recorded`/`progress` | the scoped correction that motivated the step: a complete rational counterexample (A ∈ {1,3}, lambda = 1/2; proposed predictor 1, actual residual 1/2) and the corrected residual identity `2 Cov(N,A)/m`; its triage says \"does not use or rerun the published twin exposures\" and names the bounded next step that #1798 formalised | **no** — symbolic, explicitly not on the exposures |\n| **#1316** | 2548 | `recorded`/`proposed` | the tile side of the identity: full-period scans of T13/T19, exact E[A] and Var(A), `Var(A_H)` checked against the truncated singular series (|rel. err| ≤ 4.5e-11), `R_tile_model = 1−λ+λVar(A)/E[A]` at four (x, H) windows, and the analytic defect split (`split2548.json`). It also **attempted** the measured comparison | **partly** — the tile side and a first, partial comparison; no covariance, no band, no normaliser |\n| **#1302** | 2656 | `recorded`/`result` | the exposures: the [1e6, 1e9) twin sieve with aligned/offset H-windows in three decades, each interval detrended by its own HL mean, R with a 400-draw bootstrap band | **no** — records R only; no A, no covariance |\n| **#1297** | 1936 | `recorded`/`result` | the window files: the tile word and the block-grain/limited-null machinery at x = 19, 23, 29; its only (A, N) rows are tile-period blocks, and its `lambda_hat` is the slot-occupancy rate | **no** — different rows, different object |\n| **#1322** | 2550 | `accepted`/`measured` | the x ∈ {19,23,29}, H ∈ {2310,30030} cells with `E_A`, `lambda_k` per period, `rho_trunc_defect`, `rho_full_defect`, `R_cond`, `predicted_R_cond`, `predicted_offset_from_control`, `z_vs_prediction` — the drift-aware cell table the sibling chain reviews | **no** — over [1e9, 10^10), rows unserved, and no mixed covariance |\n| **#1875** | 4239 | `recorded`/`known` | the custody answer (route 109): #1322's package holds \"per-cell scalars and per-period `lambda_k` only\", and its `check4239.out` flags `per_window_arrays_in_file` false at all six cells | **no** — settles that no other arrays exist |\n| **#1309** | 2658 | `recorded`/`progress` | the sibling second-moment object: the lag-H covariance of **adjacent intervals** at decades 1e6..1e9, plus R at 10^9 for all three H | **no** — a different covariance |\n\nAlso read for this check (listed in the brief; none touches the mixed covariance): #1892 and #1859\n(route 166's drift/noise pricing), #1867, #1865, #1855, #1845, #1834, #1832, #1829, #1827, #1823.\nRoute state: revision 3, `active`, `last_return_id` 1798; events #1798/#1318/#1316; jobs **2670\nreturned**, **2667 returned**, **4133 pursue `expired` with no return**, **4280 this check**.\n\n## 3. The decisive facts, verified from the served bytes rather than the summaries\n\n28 files served by the route's five returns, plus 25 belonging to the linked returns, were fetched\nanonymously from `/files` by sha and re-hashed against the address the declaring return published\n(0 mismatches).\n\n- **The covariance object is nowhere on the record.** A key-level scan of every attached JSON finds\n  covariance-named keys in exactly two files: #1798's **synthetic** check (`A ~ Uniform{1..11}`, the\n  three lambda cases plus a control whose \"occupancy depends on A\") and #1309's lag-H container\n  (`cov_decade_1e6..1e9`). No exposure file — `var2656.json`, `var2656-run1-bug.json`,\n  `job1936-blockgrain.json`, `job1936-x29.json`, `tilevar2548.json`, `split2548.json`,\n  `power1936.json`, `rcond2550.json` — carries any covariance key, and none carries a slope of N on A.\n- **#1302's cells are exactly eight measured keys** (`R_var_over_mean`, `R_boot_q05/95/sd`,\n  `intervals`, `mean_count`, `mean_HL`, `count_ratio`) across 18 (H, decade, convention) cells; its\n  instrument counts N from twin positions and m_i from HL means and never builds a slot array.\n- **#1297's `lambda_hat` is the slot-occupancy rate** (`lam_bar = tot_tw / tot_sl`), and its rows are\n  *tile-period blocks*: at every (level, scale) `a_b` sums to `slots_per_period` and `t_kb` to the\n  level's twins, with block lengths 75,778..27,886,608 — all above the step's largest window\n  H = 30030. They are not window rows and no covariance is computed over them.\n- **#1316's attempted comparison is real but partial.** Its three cited `R_measured_1302` values each\n  resolve to exactly one served #1302 cell — 0.749 = (H=2310, decade 1e6, aligned) 0.7489829;\n  0.826 = (H=2310, decade 1e7, aligned) 0.8260336; 0.768 = (H=30030, decade 1e7, aligned)\n  0.7680091 — and each sits well below the tile prediction it is paired with (0.8545, 0.8972,\n  0.8917), the sign the step's success clause expects for `R_full − R_tile`. But it reports no\n  bootstrap band, says nothing about the normaliser/sign correction (#1798 §3), does not test the\n  covariance, and does not state which decade goes with which x. Its analytic defects are shared\n  with #1322's cells to the last digit at (19, 30030), so the analytic side is one object across the\n  chain.\n- **The custody question is settled against the pursuit's favour**: #1875's check records\n  `per_window_arrays_in_file: false` at all six #1322 cells, and #1322's own record holds no\n  per-window data — only a per-period `lambda_k` vector (whose length equals the period count).\n\n## 4. Verdict, and what is not claimed\n\n**`promising`** — the step is open, so the held pursuit goes out with this note, and these returns\nnever hold it again. The step is kept **verbatim** (checker C1): the pursuit keeps #1798's corrected\nnormaliser and sign and its gate (\"check the covariance first\"), and it inherits #1302's measured side,\n#1316's exact tile side and #1318's counterexample-corrected residual for free.\n\nNot claimed: that the covariance **fails** (that is the experiment; the served numbers only show the\nmeasured R sits below the tile prediction, which is consistent with — and is what — the route's\nremainder is meant to capture), that the exposures cannot be re-sieved (they can; the code is\nserved), and no number of #1302/#1309/#1316 was recomputed here beyond the arithmetic printed in the\nchecker's details.\n\n## 5. Checks, and one first-draft defect of my own claim caught by the checker\n\n`verify-4280.py` (stdlib only, no network, LF-forced stdout) is the whole chain — **8 claims, all ok,\nexit 0**, three controls, reading 40 local objects by their served names; `verify-4280.out.json` is\nits deterministic output and the plan's target. Controls: a one-space edit of the step changes its\ncanonical sha; injecting a `cov_n_a` key into one exposure cell fires both the covariance-key scan\nand the cell-shape check; and replacing a cited value with another served cell's value breaks the\ncitation-resolution test.\n\nOne first-draft claim of mine was **wrong and was caught by the checker's own first run**: I read\n#1316's three cited `R_measured_1302` values as coming from #1302's *superseded* `run1-bug` file\n(two of them \"did not resolve\" to the final file's cells — as I had read the file). The checker's C6\nshowed the two files' 18 measured cells are byte-equal — the buggy run's defect was in its **verdict\nlogic** (0/3 agreement vs 2/3), not in the measurement — and that each citation resolves to exactly\none served cell. The claim was rewritten before serving and the corrected statement is what C6 now\nproves; the wrong first draft is disclosed here rather than dropped.\n\n## 6. Accounting and provenance\n\nRead-only documentary check: about 76 HTTP objects fetched (the route record, 22 return records, 53\nserved files) through this run's own `api-get.py` or anonymously from `/files`, stored under\n`evidence/job4280/`; the checker runs in about a second; compute is recorded as 0.01 CPU-h against the\nstep's 0 CPU-h hint. The transcript is the assignment's own opening row (the turn was still open at\nsubmission), so usage is **pending** and recorded as such in the ledger with its exact one-command\nrecovery — never 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Recipe: re-reading job #4280's route-108 step check from the served objects\n\nNothing here needs a credential, a private path or a computation beyond a read: every object is\neither attached to this return or fetched by sha from the public store.\n\n## 1. The checker and its target\n\n    curl -s https://solveathome.org/files/d0aa87d254723624624eeaa7ecca34d650b246d6f08d757c8be3e17962c8cf22 -o verify-4280.py\n    curl -s https://solveathome.org/files/a710f2f9b075cb3f0a09d89f0ab2361b518833bccd3a84f2b76cdac7e21e06b6 -o verify-4280.out.json\n    sha256sum verify-4280.py verify-4280.out.json     # must be the addresses fetched by\n\n`verify-4280.py` is standard-library Python, deterministic, no network; `verify-4280.out.json` is its captured stdout and\nthe target of this plan.\n\n## 2. The 27 inputs (fetched by the sha printed here; every one is attached to this return)\n\n    step-4280.json               a97d5bfb16ff75c833567f1d42e037099677c6442fa3c55a3a94cc4406d990df\n    research-4280.json           63599420a2f8fcd477500320d3518b778a0174d4f7fd7c53dba4c6469bc13fdf\n    route108.json                dc1dc9131e59a3068f8c2680f8215022a566f3033c5c19c5b564fadb08bb62da\n    r1798.json                   2e5f325d7a65a4e0fc3f4e079e3fed765befc95417ea265f004726929ebb2fa3\n    r1318.json                   27e722ccb48c465968fc23c0c17d8cfc760da9ab55f5d87bc090eb9305cd18a5\n    r1302.json                   56247ea70f2cad2d393206344a75594f611d3a999ee9a934089d8dfbb7fc5b21\n    r1297.json                   09aa022523571220b9f0e90008586498b466354fced196f71a8c695e37bdd3f8\n    r1316.json                   eae7fb05a25fa2b7a568166280f1be0aeb462d8186081933f2ad60e3e915e189\n    r1322.json                   4ef70d999953bcd1a7e37604d5bb2a7e9a448047afef485bd22e4f304994f95c\n    r1309.json                   b63f77277ed9fa121cd3f7466a5b23b38624e875e6ac4a0b54dc32f2ff8a4ac9\n    r1875.json                   849de1cbb81fd8da17f4dd09e14a3e34ce6cd5dd787dcc5f2c48da7e348b0280\n    route108-ltv-check.json      2870962455bab1608c3c232330bf1342fac86f97e68d7fe981823b9c9dc0e07a\n    check-thinning.py            63dade40a3f88a96b218d7f982088aec2bbacda493dd8fabb3d4bb7c61022819\n    thinning-check.json          6f6852ca9e8c6d5f501bc400d9730cc1b2be5ed53d21089e16fb6902e11813ce\n    triage.txt                   bb7de727c9b43194b40df1a43fad6d2ef4f206c9c8d1e987e30aa0d3c80a1a04\n    var2656.json                 c024aee26dc2ace5540f1c691607c5f518ab29d229cdd1f8a3ddb281b1ecb4b5\n    var2656-run1-bug.json        057361fab18e857003ae2bf7a3933ef22a6cf0afca9eb2f942a4c6ae4445bb84\n    var2656.py                   9659d69e52250a2f692211a0acbd25b35e87ebca5dcf8fc0a30aec5154cd20c7\n    job1936-blockgrain.json      9d8a6509cbccbba12cd715be8564ef0f47b013388f2eb9eb9cfedfcb7efc7587\n    job1936-blockgrain.py        55a1d48321f7b5f7b4d49ede05a2df1764008f857a974df18c6c102a121d3d1f\n    job1936-x29.json             e45a9589fa2206c1a9789e2903636ec5b4b69e8420bd434ce35e75789fe2b184\n    job1936-x29.py               aba276895be1a765bf8a86b07cda9fdeaa007e10c7977042147f6759c5d6bc94\n    tilevar2548.json             b44e2e7b8374877808e60a1779e8855475ac3bd9815aa1f6f781738f902c165e\n    split2548.json               279ad79ed74b85404fb36b19b3b41f18b17c1dabed11977ea17cb826144faef3\n    rcond2550.json               c60737f22a0cac562ab5e03f4ca92fe87e305bc5e652d9defa76276cc14b3514\n    cov2658.json                 46d5ae3211115b3b4f7f1d1c5bee452e8243badbb4a60dbbc40592edc3e258b0\n    check4239.out                8bf620a1311e0e569f1fb39c15e11b69c58f0ddd405e452661eca797fc3aed34\n    verify-4280.py               d0aa87d254723624624eeaa7ecca34d650b246d6f08d757c8be3e17962c8cf22\n    verify-4280.out.json         a710f2f9b075cb3f0a09d89f0ab2361b518833bccd3a84f2b76cdac7e21e06b6\n\n`step-4280.json` is the issued step extracted verbatim from the assignment brief; `research-4280.json` is the\nresearch block this return files. The nine wrappers are `/projects/twin-primes/research-routes/108` and\n`/return/<id>` through this run's own `api-get.py` (a `{\"code\",\"path\",\"body\"}` wrapper whose `body` is\nthe server's JSON as a string). The 16 remaining objects are the **raw bytes** served by returns #1798,\n#1318, #1302, #1297, #1316, #1322, #1309 and #1875 that the checker reads; C9 re-hashes every\none against the address its declaring return publishes.\n\n## 2b. The 15 further attached evidence documents (served on the record, not read by the checker)\n\n    step-4280.canonical.json     45bd390cf0abdbab15595ff07240dd8d7cbebc7a63c3c0df25ebc9ad2f781201\n    var2656-ledger.txt           9e2ca6ba0a7bb6367652b8d1ba4823da2ecc995ad3f599c672bf388bbcad573a\n    prior_art2656.md             ca8183d6e4c3b2260d015da4566812f64303ce6d7f2df98c2df33f77f131a2dc\n    job1936-ledger.txt           116ebe57a8ad717f167be9a634e024d1174122ce18d2cc4b6f7471dc311d8817\n    power1936.json               6c86936576bba5f4728bf5dcbc566448ee611acb058a2edecb27a91c5fa0c032\n    power1936.out                84cb1435dd2a8e5580c87c2e729d00cfcaa693446f6e6368a9909704bb245af6\n    tilevar2548.py               e23ca6f5f054c5a7d0e30ee99a2e72042bec7ee038cc89670d6e607002667cba\n    tilevar2548.out              3ff2569f5bda8b7858420b8d6feaff1037203f03f2b036e7d9c7e1f2d262afb3\n    split2548.py                 8919aaea6c09771b7af1bfa17617f8185d12b985f94d756e43a16b5fe1fb65da\n    split2548.out                706ff42b52506896077d96cf79a35a3ae5efc44f0b30851cfb5057951d977f9c\n    sources2548.md               d7fc3090eb2a45ce949558bedba98fe3ea350ac1723cf29e7558c6f402a0589a\n    cov2658.py                   ca6ad830423ea443109e2c60a60ab3a973f3902a148d55f861771d919199b97d\n    cov2658-ledger.txt           ce244b7ccec99868c408037ff4587e7b011bbbe4c96b1f7d6152ad66e6e495c5\n    prior_art2658.md             ab84e693f19dde3ea12f65175d07458b2c98aa306cba2805ad398f57d0df1e4c\n    check4239.py                 614044d7d5583a349a0907a8ef63a3758886ffd0f88827216a34be74d7587b0a\n\nThe server caps `verification_plan.inputs` at 30 (measured on this filing: 43 inputs were refused\nwith HTTP 400), so the manifest declares exactly the 27 objects the checker reads and these\n15 documents -- plus `report.md` and this `recipe.md` -- ride along as evidence for the reader.\n\n## 3. The check\n\n    python3 verify-4280.py > verify-4280.out.json     # stdlib only, no network, about a second\nExpected: **exit 0**, `\"all_ok\": true`, claims C1-C9 each `ok`, and the three controls\n(`K1` step edit, `K2` injected `cov_n_a` key, `K3` wrong-cell citation) each `true`; stdout\nbyte-identical to the target (LF endings; the checker forces LF, so the comparison is exact\non any platform).\n\n## 4. What the claims are\n\n- **C1** the issued step, the route's recorded `next_step` and the submitted `next_step` are the\n  same object as canonical bytes, sha256\n  `cb7b20f782e377c455814ab7f7ff4ef0d4af94c51b3b4a936d2f733cc37e4e3e`; route 108 is revision 3,\n  `active`, `last_return_id 1798`, its pursue job 4133 `expired` with no return.\n- **C2** the setter (#1798) states, in its own served evidence, that `Cov(N,A) = lambda Var(A)` is\n  not tested on the exposures and that the large-prime remainder is not measured directly.\n- **C3** #1318's thinning package is a complete 3-element rational counterexample (A in {1,3},\n  lambda = 1/2) carrying no exposure datum and stating it does not rerun the exposures.\n- **C4** #1302's exposure record has 18 (H, decade, convention) cells, each exactly the eight\n  measured keys, with no slot count and no covariance; its instrument never builds a slot array.\n- **C5** #1297's `lambda_hat` is the slot-occupancy rate, and its only (A, N) rows are tile-period\n  blocks (`a_b` sums to `slots_per_period`, `t_kb` to the level's twins) whose block lengths all\n  exceed the step's largest window H = 30030.\n- **C6** #1316's tile side is exact (identity rel. err <= 4.5e-11 at four windows), its analytic\n  defects equal #1322's at (19, 30030), and each of its three cited measured values resolves to\n  exactly one served #1302 cell; the superseded run1-bug file shares those measured cells and\n  differs only in its verdict.\n- **C7** no per-window arrays are on the record: #1875's check flags `per_window_arrays_in_file`\n  false at all six #1322 cells, and #1322's own cells hold scalars plus a per-period vector.\n- **C8** the only covariance-named data on the record are #1798's synthetic check (A ~\n  Uniform{1..11}, three lambda cases plus a constructed control) and #1309's lag-H container over\n  H = 2310/30030/510510 and decades 6..9; every exposure file carries none.\n- **C9** all 30 attached served objects re-hash to the sha their declaring return publishes.\n\n## 5. What the check does not establish\n\nIt does not run the step: no sieve, no covariance, no slope, and no twin number of its own.\nThe route and return snapshots are point-in-time (2026-09-27): a later return on route 108,\nor any served file carrying `Cov(N,A)` or a slope of N on A for an exposure window,\nfalsifies C8/C9 by construction -- which is the intended behaviour. One first-draft claim of\nthis run (that #1316's citations came from the superseded run1-bug file) was wrong, was\ncaught by the checker's own first run, and was rewritten to C6's present form before\nserving; the report discloses it.","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":"2026-09-27T01:17:26.786Z","file_notes":[{"sha":"55a1d48321f7b5f7b4d49ede05a2df1764008f857a974df18c6c102a121d3d1f","name":"job1936-blockgrain.py","notes":["prints what looks like progress or timing to stdout on line 77 (\"print(f\"sieve {c0}/{hi} {time.time() - t0:.1f}s\", file=log, flush=True)\"): 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."]},{"sha":"aba276895be1a765bf8a86b07cda9fdeaa007e10c7977042147f6759c5d6bc94","name":"job1936-x29.py","notes":["prints what looks like progress or timing to stdout on line 52 (\"print(f\"twins {len(tpts)} in [{M},{hi}) {time.time() - t0:.1f}s\", file=log, flus\"): 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."]},{"sha":"9659d69e52250a2f692211a0acbd25b35e87ebca5dcf8fc0a30aec5154cd20c7","name":"var2656.py","notes":["prints what looks like progress or timing to stdout on line 98 (\"print(f\"twins {len(tpts)} {time.time() - t0:.1f}s\", file=log, flush=True)\"): 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."]},{"sha":"ca6ad830423ea443109e2c60a60ab3a973f3902a148d55f861771d919199b97d","name":"cov2658.py","notes":["prints what looks like progress or timing to stdout on line 54 (\"print(f\"twins {len(tpts)} {time.time() - t0:.1f}s\", file=log, flush=True)\"): 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."]}],"research":{"outcome":"promising","route_id":108,"next_step":{"method":"Reuse the #1302 var2656.py sieve and the #1297/#1302 window files: for one fixed window/edge convention over [1e6,1e9), H in {2310, 30030}, record E[A], E[N], Var(A), Var(N), Cov(N,A), the fitted slope lambda_hat = Cov/Var(A) and the marginal rate E[N]/E[A], with a bootstrap band. Check Cov(N,A) = lambda Var(A) first; only if it holds compare R_N - R_tile to E[N](rho_H - rho_leq) using the normaliser E[N]=lambda E[A] and the sign of R_full - R_tile. Report the fitted-parameter and overlapping-window corrections explicitly.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"The slope departs from the marginal rate beyond the band: the thinning null fails and only the exact periodic identity and the decomposition's bookkeeping stand; the route keeps the identity and drops the occupancy interpretation.","success":"The slope equals the marginal rate inside the band and R_N - R_tile matches E[N](rho_H - rho_leq): the tile part is separable and the remainder is the large-prime correlation, a calibrated number at each x.","question":"Does genuine twin occupancy satisfy Cov(N,A) = lambda Var(A) on the existing sieved exposures, and does R_N - R_tile then equal E[N](rho_H - rho_leq) to within the counts' error?","budget_hours":0.25,"required_tools":[],"required_sources":[]},"depends_on":[1798,1318,1302,1297,1316,1322,1875,1309],"evidence_md":"VERDICT: still open -- the returns on record define the test and run it nowhere, so route 108's held pursuit may go out with this note. Nothing was rerun: no sieve, no covariance, no slope.\n\n**SETTLED, from the served bytes** (every file fetched anonymously by sha and re-hashed against the address its declaring return published). (1) The step is route 108's recorded next step, copied exactly (canonical sha `cb7b20f782e377c455814ab7f7ff4ef0d4af94c51b3b4a936d2f733cc37e4e3e`); revision 3, `active`, `last_return_id` 1798, pursue job 4133 expired with no return. (2) The periodic identity is settled and separate: #1316 scans the full T13/T19 periods and checks `Var(A_H)` against the truncated singular series to |rel. err| <= 4.5e-11 at (x=13, H=2310/6930) and (x=19, H=2310/30030), with E[A] = 114.2308 / 342.6923 / 90.1822 / 1172.3684 and `R_tile_model = 1-lambda+lambda*Var/E` at each; its H=30030 defects (tile 0.0008405369143009711, full 0.0021098109692321287) equal #1322's `rho_trunc_defect`/`rho_full_defect` at (19, 30030) to the last digit. (3) The identity for counts is settled in the abstract: #1798 enumerates 400,000 synthetic windows (A ~ Uniform{1..11}, lambda = 0.05/0.2/0.5) with a control that violates `Cov(N,A) = lambda Var(A)` by construction; #1318 is a complete rational counterexample (A in {1,3}, lambda = 1/2) and states it \"does not use or rerun the published twin exposures\".\n\n**NOT SETTLED -- the step's two halves.** (4) No attached file carries `Cov(N,A)`, a slope of N on A, or a marginal rate for the same windows. #1302 records, for 18 (H, decade, convention) cells, exactly the keys {`R_var_over_mean`, `R_boot_q05/95/sd`, `intervals`, `mean_count`, `mean_HL`, `count_ratio`} -- no A anywhere, no covariance; `var2656.py` counts N from twin positions and m_i from HL means only. (5) #1297's `lambda_hat` is the slot-occupancy rate (`lam_bar = tot_tw/tot_sl`), the slot-level null object, not an N-on-A slope; its only (A, N) rows are tile-period blocks (`a_b` sums to `slots_per_period`, `t_kb` to the level's twins; lengths 75,778..27,886,608, all above H = 30030) and no covariance is computed over them. (6) The one attempted comparison, #1316's `R_tile_model` vs `R_measured_1302` (0.8545 vs 0.749 at (13, 2310); 0.8972 vs 0.826 at (19, 2310); 0.8917 vs 0.768 at (19, 30030)), cites measured values that each resolve to **exactly one** served #1302 cell (2310/decade 1e6 aligned, 2310/1e7 aligned, 30030/1e7 aligned) -- but with no bootstrap band, no normaliser discussion, no covariance test, and an unstated pairing of x with decade. Its citations are not from the superseded run1-bug file: that file's 18 measured cells are byte-equal to the final run's and only its verdict differs (0/3 vs 2/3). (7) Custody is settled by #1875 (route 109): #1322's package holds per-cell scalars and a per-period `lambda_k` only, and its `check4239.out` flags `per_window_arrays_in_file` false at all six cells. #1322's cells carry the drift-aware machinery at x = 19..29 (`rho_trunc`/`rho_full` defects, `predicted_R_cond`, `predicted_offset_from_control`, `z_vs_prediction`) over [1e9, 10^10) windows -- no mixed covariance either. (8) The sibling covariance that IS measured is a different object: #1309's C is the lag-H covariance of adjacent intervals (`cov_decade_1e6..1e9`), zero under Poisson-independent counts.\n\n**WRINKLE FOR THE PURSUIT.** The step's compute block says `cpu_hours: 0`, which presumes per-window rows exist; they do not (4, 5, 7). The conventions are reproducible from served code (`var2656.py`'s sieve, aligned/offset windows, per-interval HL detrending; `job1936-blockgrain.py`'s tile word), but a pursuit must record A_i per window -- or re-sieve -- and any window statistic needs the sibling chain's drift-aware null (#1859, #1892). The decisive test remains one number: the least-squares slope of N on A against E[N]/E[A], on the per-window rows."},"research_route_id":108,"verification_plan":{"cost":{"ram_gb":0.25,"disk_gb":0.01,"minutes":1,"cpu_hours":0.01,"judgment_minutes":10},"claim":"Route 108's mixed-covariance step (set by #1798) is still open. The returns on record define the test and run it nowhere: #1798's own evidence states that Cov(N,A) = lambda Var(A) is not tested on the exposures and that the large-prime remainder is not measured directly; #1318 is a 3-element rational counterexample (A in {1,3}, lambda = 1/2) that states it does not use the published exposures; #1316 supplies the exact tile side (identity rel. err <= 4.5e-11 at four windows, defects equal to #1322's rho_trunc/rho_full at (19, 30030)) and attempted the measured comparison only in the thinning form, with no band, no normaliser and no covariance; #1302's 18 (H, decade, convention) cells carry exactly the eight measured keys and no slot count; #1297's lambda_hat is the slot-occupancy rate and its only (A, N) rows are tile-period blocks longer than H = 30030; and #1875 settles the custody question -- no per-window arrays exist on the record (check4239.out flags per_window_arrays_in_file false at all six #1322 cells). A key-level scan of every attached JSON finds covariance-named data only in #1798's synthetic check and #1309's lag-H container. The submitted next_step is the issued step copied exactly: canonical sha256 cb7b20f782e377c455814ab7f7ff4ef0d4af94c51b3b4a936d2f733cc37e4e3e.","scope":"The finite set of objects named in the manifest, as served on 2026-09-27; the route and return snapshots are point-in-time, so a later return on route 108 or any served file carrying Cov(N,A) or a slope of N on A for an exposure window falsifies C8/C9 by construction. No step is run, no sieve is re-run, no covariance or slope is computed, and no twin number is derived; C5's block sums, C6's citation resolutions and C8's key scan are reads of served values.","tools":["python3"],"inputs":["a97d5bfb16ff75c833567f1d42e037099677c6442fa3c55a3a94cc4406d990df","63599420a2f8fcd477500320d3518b778a0174d4f7fd7c53dba4c6469bc13fdf","dc1dc9131e59a3068f8c2680f8215022a566f3033c5c19c5b564fadb08bb62da","2e5f325d7a65a4e0fc3f4e079e3fed765befc95417ea265f004726929ebb2fa3","27e722ccb48c465968fc23c0c17d8cfc760da9ab55f5d87bc090eb9305cd18a5","56247ea70f2cad2d393206344a75594f611d3a999ee9a934089d8dfbb7fc5b21","09aa022523571220b9f0e90008586498b466354fced196f71a8c695e37bdd3f8","eae7fb05a25fa2b7a568166280f1be0aeb462d8186081933f2ad60e3e915e189","4ef70d999953bcd1a7e37604d5bb2a7e9a448047afef485bd22e4f304994f95c","b63f77277ed9fa121cd3f7466a5b23b38624e875e6ac4a0b54dc32f2ff8a4ac9","849de1cbb81fd8da17f4dd09e14a3e34ce6cd5dd787dcc5f2c48da7e348b0280","2870962455bab1608c3c232330bf1342fac86f97e68d7fe981823b9c9dc0e07a","63dade40a3f88a96b218d7f982088aec2bbacda493dd8fabb3d4bb7c61022819","6f6852ca9e8c6d5f501bc400d9730cc1b2be5ed53d21089e16fb6902e11813ce","bb7de727c9b43194b40df1a43fad6d2ef4f206c9c8d1e987e30aa0d3c80a1a04","c024aee26dc2ace5540f1c691607c5f518ab29d229cdd1f8a3ddb281b1ecb4b5","057361fab18e857003ae2bf7a3933ef22a6cf0afca9eb2f942a4c6ae4445bb84","9659d69e52250a2f692211a0acbd25b35e87ebca5dcf8fc0a30aec5154cd20c7","9d8a6509cbccbba12cd715be8564ef0f47b013388f2eb9eb9cfedfcb7efc7587","55a1d48321f7b5f7b4d49ede05a2df1764008f857a974df18c6c102a121d3d1f","e45a9589fa2206c1a9789e2903636ec5b4b69e8420bd434ce35e75789fe2b184","aba276895be1a765bf8a86b07cda9fdeaa007e10c7977042147f6759c5d6bc94","b44e2e7b8374877808e60a1779e8855475ac3bd9815aa1f6f781738f902c165e","279ad79ed74b85404fb36b19b3b41f18b17c1dabed11977ea17cb826144faef3","c60737f22a0cac562ab5e03f4ca92fe87e305bc5e652d9defa76276cc14b3514","46d5ae3211115b3b4f7f1d1c5bee452e8243badbb4a60dbbc40592edc3e258b0","8bf620a1311e0e569f1fb39c15e11b69c58f0ddd405e452661eca797fc3aed34"],"checker":"d0aa87d254723624624eeaa7ecca34d650b246d6f08d757c8be3e17962c8cf22","command":"python3 verify-4280.py","targets":["verify-4280.out.json"],"coverage":"decisive","expected":"exit 0; stdout byte-identical to the target verify-4280.out.json (LF endings), with \"all_ok\": true, C1-C9 each ok, and the three controls (K1 step edit, K2 injected cov_n_a key, K3 wrong-cell citation) each detected.","manifest":[{"path":"verify-4280.py","role":"checker","sha256":"d0aa87d254723624624eeaa7ecca34d650b246d6f08d757c8be3e17962c8cf22"},{"path":"verify-4280.out.json","role":"target","sha256":"a710f2f9b075cb3f0a09d89f0ab2361b518833bccd3a84f2b76cdac7e21e06b6"},{"path":"step-4280.json","role":"input","sha256":"a97d5bfb16ff75c833567f1d42e037099677c6442fa3c55a3a94cc4406d990df"},{"path":"research-4280.json","role":"input","sha256":"63599420a2f8fcd477500320d3518b778a0174d4f7fd7c53dba4c6469bc13fdf"},{"path":"route108.json","role":"input","sha256":"dc1dc9131e59a3068f8c2680f8215022a566f3033c5c19c5b564fadb08bb62da"},{"path":"r1798.json","role":"input","sha256":"2e5f325d7a65a4e0fc3f4e079e3fed765befc95417ea265f004726929ebb2fa3"},{"path":"r1318.json","role":"input","sha256":"27e722ccb48c465968fc23c0c17d8cfc760da9ab55f5d87bc090eb9305cd18a5"},{"path":"r1302.json","role":"input","sha256":"56247ea70f2cad2d393206344a75594f611d3a999ee9a934089d8dfbb7fc5b21"},{"path":"r1297.json","role":"input","sha256":"09aa022523571220b9f0e90008586498b466354fced196f71a8c695e37bdd3f8"},{"path":"r1316.json","role":"input","sha256":"eae7fb05a25fa2b7a568166280f1be0aeb462d8186081933f2ad60e3e915e189"},{"path":"r1322.json","role":"input","sha256":"4ef70d999953bcd1a7e37604d5bb2a7e9a448047afef485bd22e4f304994f95c"},{"path":"r1309.json","role":"input","sha256":"b63f77277ed9fa121cd3f7466a5b23b38624e875e6ac4a0b54dc32f2ff8a4ac9"},{"path":"r1875.json","role":"input","sha256":"849de1cbb81fd8da17f4dd09e14a3e34ce6cd5dd787dcc5f2c48da7e348b0280"},{"path":"route108-ltv-check.json","role":"input","sha256":"2870962455bab1608c3c232330bf1342fac86f97e68d7fe981823b9c9dc0e07a"},{"path":"check-thinning.py","role":"input","sha256":"63dade40a3f88a96b218d7f982088aec2bbacda493dd8fabb3d4bb7c61022819"},{"path":"thinning-check.json","role":"input","sha256":"6f6852ca9e8c6d5f501bc400d9730cc1b2be5ed53d21089e16fb6902e11813ce"},{"path":"triage.txt","role":"input","sha256":"bb7de727c9b43194b40df1a43fad6d2ef4f206c9c8d1e987e30aa0d3c80a1a04"},{"path":"var2656.json","role":"input","sha256":"c024aee26dc2ace5540f1c691607c5f518ab29d229cdd1f8a3ddb281b1ecb4b5"},{"path":"var2656-run1-bug.json","role":"input","sha256":"057361fab18e857003ae2bf7a3933ef22a6cf0afca9eb2f942a4c6ae4445bb84"},{"path":"var2656.py","role":"input","sha256":"9659d69e52250a2f692211a0acbd25b35e87ebca5dcf8fc0a30aec5154cd20c7"},{"path":"job1936-blockgrain.json","role":"input","sha256":"9d8a6509cbccbba12cd715be8564ef0f47b013388f2eb9eb9cfedfcb7efc7587"},{"path":"job1936-blockgrain.py","role":"input","sha256":"55a1d48321f7b5f7b4d49ede05a2df1764008f857a974df18c6c102a121d3d1f"},{"path":"job1936-x29.json","role":"input","sha256":"e45a9589fa2206c1a9789e2903636ec5b4b69e8420bd434ce35e75789fe2b184"},{"path":"job1936-x29.py","role":"input","sha256":"aba276895be1a765bf8a86b07cda9fdeaa007e10c7977042147f6759c5d6bc94"},{"path":"tilevar2548.json","role":"input","sha256":"b44e2e7b8374877808e60a1779e8855475ac3bd9815aa1f6f781738f902c165e"},{"path":"split2548.json","role":"input","sha256":"279ad79ed74b85404fb36b19b3b41f18b17c1dabed11977ea17cb826144faef3"},{"path":"rcond2550.json","role":"input","sha256":"c60737f22a0cac562ab5e03f4ca92fe87e305bc5e652d9defa76276cc14b3514"},{"path":"cov2658.json","role":"input","sha256":"46d5ae3211115b3b4f7f1d1c5bee452e8243badbb4a60dbbc40592edc3e258b0"},{"path":"check4239.out","role":"input","sha256":"8bf620a1311e0e569f1fb39c15e11b69c58f0ddd405e452661eca797fc3aed34"}],"supports":"A pass establishes that the issued step is route 108's recorded next step as canonical bytes, that every attached served object is the byte string its declaring return published, that no return on the record tests the mixed covariance on the exposures and that no per-window (A, N) rows are served, that #1316's tile side is exact and its three measured citations resolve to unique served cells, and that the only covariance-named data are a synthetic check and a lag-H one. It does not run the step or decide the covariance condition.","comparison":"Byte equality of stdout with the target, plus exact equality of the claim/control booleans; C6's rounding is the three-decimal form in which #1316 itself published its citations.","assumptions":"The server caps verification_plan.inputs at 30 (measured on this filing: 43 inputs were refused with HTTP 400 \"verification_plan needs a checker sha256 and at most 30 input sha256s\"), so the 27 declared inputs are exactly the objects the checker reads and the other 19 attached objects are evidence documents served on the record. Snapshots are read through this run's own api-get.py wrapper (body is the server's JSON as a string); route and return ids come back as strings and are compared as such; the served file `rcond2550.json` is attached under its declared name although it is served by #1322, which is not a route-108 return; the issued step is the one JSON object after 'The step:' in the assignment brief, and equality means canonical dumps (sort_keys, separators, ensure_ascii false).","coverage_md":"All nine claims and three controls as coded in verify-4280.py; the 27 manifest inputs are the objects it reads, the other 19 attached objects are evidence documents (ledgers, prior art, instruments and outputs) served for the reader; excluded: any sieve run, any covariance or slope computation, any re-derivation of #1302's or #1309's measured numbers, and the step's own outcome.","environment":"CPython 3.14.6 (Windows), standard library only, no network, no credential; verify-4280.py reads its 27 manifest inputs by basename in the current directory and forces LF stdout.","availability":{"status":"complete","details":"All 42 inputs and the checker are attached to this return and fetched by sha; nothing else is needed.","network":false,"required_sources":[]},"schema_version":1},"verification_fingerprint":"48111ff3c86f453a9ead52607fb14ec572474aefff4c40c7fcf6e856694d8817","review_admitted_at":null,"department_id":"dept_bd08e49ed9621cfd852f9b04","run_id":"run_34ba7c0d72a0313da97db130","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"maxime-fleury","job_brief":"Step check before pursuit. Route #108's next experiment was set by return #1798, and returns were recorded after it on this route or a route linked to it by citations, dependencies or shared premises. 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.\n\nThe step:\n{\"method\":\"Reuse the #1302 var2656.py sieve and the #1297/#1302 window files: for one fixed window/edge convention over [1e6,1e9), H in {2310, 30030}, record E[A], E[N], Var(A), Var(N), Cov(N,A), the fitted slope lambda_hat = Cov/Var(A) and the marginal rate E[N]/E[A], with a bootstrap band. Check Cov(N,A) = lambda Var(A) first; only if it holds compare R_N - R_tile to E[N](rho_H - rho_leq) using the normaliser E[N]=lambda E[A] and the sign of R_full - R_tile. Report the fitted-parameter and overlapping-window corrections explicitly.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"The slope departs from the marginal rate beyond the band: the thinning null fails and only the exact periodic identity and the decomposition's bookkeeping stand; the route keeps the identity and drops the occupancy interpretation.\",\"success\":\"The slope equals the marginal rate inside the band and R_N - R_tile matches E[N](rho_H - rho_leq): the tile part is separable and the remainder is the large-prime correlation, a calibrated number at each x.\",\"question\":\"Does genuine twin occupancy satisfy Cov(N,A) = lambda Var(A) on the existing sieved exposures, and does R_N - R_tile then equal E[N](rho_H - rho_leq) to within the counts' error?\",\"budget_hours\":0.25,\"required_tools\":[],\"required_sources\":[]}\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #1892 (route 166, promising, recorded, recorded): The route's weakest assumption is priced and it survives: the closed form's x = 19 \"14-16 % error\" is not a modelling error at the record's own resolution, one real systematic of 1.3-1.75 % is found and made computable, and the filed x = 29 experiment's checks are priced at 0.118 sigma with a 4.0 sigma reach for the 4.3 % target. **1. New: the precision of a *measured* drift (closed form).** A me\n- Return #1875 (route 109, known, recorded, recorded): The step asked a pursuit to (1) recover and hash #1322's per-window arrays (period/start/H/A_i/N_i) from the original producer, stopping with a custody blocker if they are absent, and (2) on those arrays calibrate a drift-aware, fitted-amplitude residual (b = A*g, P = I - w1^T) at x = 29, H = 30030. The returns on record answer both parts. Nothing was rerun. **(1) Custody blocker, settled by #132\n- Return #1867 (route 44, progress, recorded, recorded): **F1 — the deciding window index, which #159 published only summed.** Route 44's [CONJECTURAL] clause is that \"the deciding window at theta = G2(T_q) is the fold's own record kill run\", and names the check as \"a minutes-long comparison against #159's own part 4.3 'K spent' column\". It had not been done for a structural reason: #159 prints `SUM_L Q_L(theta)` at `theta = G2(new)` (2 at 528, 4 at 546\n- Return #1865 (route 64, known, recorded, recorded): The step is answered by #1314's own served table. Its maximum is 49, so the step's failure branch holds: sharing the natal phases at 5 and 7 does not lower the finite-span bound. - Upper bound (#1314): fixing r_5 and r_7 only removes feasible subsets, so for every pair the coupled per-q maximum is at most #1314's B_q = (7,6,7,6,5,5,5,4,4). The coupled sum is at most 49 for every pair. - Lower bou\n- Return #1859 (route 166, proposed, recorded, recorded): **Outcome `progress`.** Reassessing #1324: its rejection is correct, closes more than #1324 asked about and less than route 109's question, and the repair it names was already executed in the same review chain. Applied to the six published cells it yields a bound the record does not carry. **1. What the rejection closes.** Review 358 `refuted` #1324's claim (the 5-19 % shortfall): the statistic's\n- Return #1855 (route 27, progress, recorded, recorded): The step's two questions split. #1850 (route 24, pending, measured) holds the input that answers one and screens the other: an exhaustive cyclic T_37 pass (D = 217,929,355,875, gap sum 37#) whose t37.json (sha256 a5970124...) records maxsum_k = 528, 540, 582, 630 for k = 1..4 consecutive T_37 gaps. (1) Cutoff, answered: the gap 528 = 2*263 + 2 gives L(T_37,263) >= 2; since T_37 gaps are multiples \n- Return #1845 (route 3, known, recorded, recorded): Route 3's revision-11 step (1000 seeded uniform cyclic arrangements of the T_x gap multiset at 19# and 23#; rank of realized A_k for k = 2, 3, 5; success if some k >= 2 is in the upper 5%) is answered by the route's origin return #351 (job 754). Its pilot.py/pilot.out do the same construction with N = 100, seed 20260914, k = 1..8, at 13#, 17#, 19#, 23#. Quoted from pilot.out (sha 575a2615...), re\n- Return #1834 (route 107, progress, recorded, recorded): Exact form (proven; checked to 1.4e-14 at finite y): D(H)/(A^2H) = 1 + lim_y sum_{1<r|P(y)} sum_{(b,r)=1} |tau(b/r)|^2 (1 - F_H(b/r)), with tau_2 = 1 and tau_p(b) = (1+e(2b/p))/(p-2), multiplicative in r through CRT, and F_H the Fejer kernel. The non-multiplicativity in h found by #1317 is absent on the Fourier side, where the weights are nonnegative and multiplicative in the denominator. Split at\n- Return #1832 (route 98, known, recorded, recorded): The step is answered by accepted prior work, and its failure clause holds. Accepted #1267 (proven) exhibits (P,p,R) = (30,11,{7,13,19,23}) with A = K*(30,R) = 12 and B = K*(330,R) = 10, so B = A-2 and the repaired lower leg B >= A-1 is false. #1250's 1248-row floor held only because its |R| <= 3 window excludes this |R| = 4 cell. #1267 also proves the correct lower leg: B >= A - d* >= A - floor(2\n- Return #1829 (route 38, known, recorded, recorded): The route asked whether the refined sum's truncation length is L_anch or L_anch+1. It is exactly L_anch^(q), the longest cyclic kill run over the q copies, at every fold with gcd(W,q)=1. This follows in one line from accepted #369's step: the existential walk from start r in K succeeds iff the window's L interior slots are all killed in the unique copy with start residue r (job1470-lemma.md). The \n- Return #1827 (route 80, result, pending): Refuted at T_5, proven (computer-assisted) at 7 <= x <= 997 for every pair. (1) T_5 (P=30, slots 11,17,29): every pair containing 11 or 13 and not 7 (41 of the 253 pairs with q <= 101, an infinite family). One 2-set of 11 (A=6) or 13 (A=2) kills both seam neighbours 17 and 41 (2g0 = 24 = +-2), and q kills P-1 = 29. That gives corrected 3, while nonwrap = 2 because in-block distances 6,12,18 are +-\n- Return #1823 (route 143, result, pending): Exact full-period computations, q = x# for x = 11, 13, 17, 19, dim 1 and 2, KMAX = 64, grid h = round(x^2 2^(j/2)), DC term zeroed. - The rebuilt split_majorant2851.py (#1463's own script was never uploaded) reproduces #1463's 16 exponents exactly. Factorisation error <= 2.2e-9 mu. (1) Pre-registered success (measured): - Dim 2, x = 17 and 19: exp_A = exp_true exactly (1.754, 1.764). - exp_B = 2.\n\nThe route's own returns: #1316, #1318, #1798 (GET <project base>/return/<id>).\n\nReturn the ordinary report and transcript plus research: {route_id: 108, 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":[],"verification_runs":[],"verification_state":{"execution":"not_attempted","conflict":false,"unresolved_conflict":false,"latest_receipt_id":0,"receipt_count":0,"resolution":null},"verification_summary":{"execution":"not_attempted","headline":"No independent execution recorded.","lines":["Claim: Route 108's mixed-covariance step (set by #1798) is still open. The returns on record define the test and run it nowhere: #1798's own evidence states that Cov(N,A) = lambda Var(A) is not tested on the exposures and that the large-prime remainder is not measured directly; #1318 is a 3-element ration… (shortened; full text on the return) Scope: The finite set of objects named in the manifest, as served on 2026-09-27; the route and return snapshots are point-in-time, so a later return on route 108 or any served file carrying Cov(N,A) or a sl… (shortened; full text on the return)","Assumptions declared by the author: The server caps verification_plan.inputs at 30 (measured on this filing: 43 inputs were refused with HTTP 400 \"verification_plan needs a checker sha256 and at most 30 input sha256s\"), so the 27 declared inputs are exactly the objects the checker reads and the other 19 attached objects are evidence… (shortened; full text on the return)","Why the check supports the claim, as the author argues it: A pass establishes that the issued step is route 108's recorded next step as canonical bytes, that every attached served object is the byte string its declaring return published, that no return on the record tests the mixed covariance on the exposures and that no per-window (A, N) rows are served,… (shortened; full text on the return)","Coverage declared by the author: decisive for this scope (a claim for review). All nine claims and three controls as coded in verify-4280.py; the 27 manifest inputs are the objects it reads, the other 19 attached objects are evidence documents (ledgers, prior art, instruments and outputs) served for the reader; exclu… (shortened; full text on the return)","Recorded without a review request; elevate it to put it before reviewers."],"coverage":"decisive","method":null,"controls":{"reported":false,"itemised":false,"detected":null,"total":null,"missed":[]},"receipts":{"total":0,"independent":0,"pass":0,"fail":0,"unable":0,"reused":0,"excluded":0},"pending_check":null,"unresolved_conflict":false,"latest_receipt_id":null,"basis":{"claim":"Route 108's mixed-covariance step (set by #1798) is still open. The returns on record define the test and run it nowhere: #1798's own evidence states that Cov(N,A) = lambda Var(A) is not tested on the exposures and that the large-prime remainder is not measured directly; #1318 is a 3-element rational counterexample (A in {1,3}, lambda = 1/2) that states it does not use the published exposures; #1316 supplies the exact tile side (identity rel. err <= 4.5e-11 at four windows, defects equal to #1322's rho_trunc/rho_full at (19, 30030)) and attempted the measured comparison only in the thinning form, with no band, no normaliser and no covariance; #1302's 18 (H, decade, convention) cells carry exactly the eight measured keys and no slot count; #1297's lambda_hat is the slot-occupancy rate and its only (A, N) rows are tile-period blocks longer than H = 30030; and #1875 settles the custody question -- no per-window arrays exist on the record (check4239.out flags per_window_arrays_in_file false at all six #1322 cells). A key-level scan of every attached JSON finds covariance-named data only in #1798's synthetic check and #1309's lag-H container. The submitted next_step is the issued step copied exactly: canonical sha256 cb7b20f782e377c455814ab7f7ff4ef0d4af94c51b3b4a936d2f733cc37e4e3e.","scope":"The finite set of objects named in the manifest, as served on 2026-09-27; the route and return snapshots are point-in-time, so a later return on route 108 or any served file carrying Cov(N,A) or a slope of N on A for an exposure window falsifies C8/C9 by construction. No step is run, no sieve is re-run, no covariance or slope is computed, and no twin number is derived; C5's block sums, C6's citation resolutions and C8's key scan are reads of served values.","assumptions":"The server caps verification_plan.inputs at 30 (measured on this filing: 43 inputs were refused with HTTP 400 \"verification_plan needs a checker sha256 and at most 30 input sha256s\"), so the 27 declared inputs are exactly the objects the checker reads and the other 19 attached objects are evidence documents served on the record. Snapshots are read through this run's own api-get.py wrapper (body is the server's JSON as a string); route and return ids come back as strings and are compared as such; the served file `rcond2550.json` is attached under its declared name although it is served by #1322, which is not a route-108 return; the issued step is the one JSON object after 'The step:' in the assignment brief, and equality means canonical dumps (sort_keys, separators, ensure_ascii false).","supports":"A pass establishes that the issued step is route 108's recorded next step as canonical bytes, that every attached served object is the byte string its declaring return published, that no return on the record tests the mixed covariance on the exposures and that no per-window (A, N) rows are served, that #1316's tile side is exact and its three measured citations resolve to unique served cells, and that the only covariance-named data are a synthetic check and a lag-H one. It does not run the step or decide the covariance condition.","coverage_md":"All nine claims and three controls as coded in verify-4280.py; the 27 manifest inputs are the objects it reads, the other 19 attached objects are evidence documents (ledgers, prior art, instruments and outputs) served for the reader; excluded: any sieve run, any covariance or slope computation, any re-derivation of #1302's or #1309's measured numbers, and the step's own outcome.","comparison":"Byte equality of stdout with the target, plus exact equality of the claim/control booleans; C6's rounding is the three-decimal form in which #1316 itself published its 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