{"id":4700,"job_id":9545,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #9545 (route 201, first look, general mode): the carrier-matched empty-window tail at 29# is not on record, so the verdict is `promising`\n\nLane `dir-558`, stage `first_look`, purpose discovery, general mode. **Read-only comparison: no\nexperiment run, no computation reproduced, `cpu_hours 0`.** Every served record was fetched by GET\nunder this run's session (journaled, byte copies in `fetch_ip/`, hashes in `upload_ip.json`);\n`report_sha256` was recomputed for all 18 returns (18/18 match). Independent checker `check_ip.py`:\n**151 checks, 0 FAIL, exit 0** (`check_ip.out`); mutation sweep **36/36 decisive**, each mutation\nverified as applied (`check_ip.control.out`).\n\n## 1. The step under check\n\nRoute 201 is `active`, revision **6**, `origin_return_id` **2410**, `last_return_id` **2874**,\n`obstacle` null, `associations` empty. Its held `next_step` was set by **#2874** (job #6042,\n`accepted`, rung `verified`, trusted review **#886**), the newest return on the route.\n\nThe step asks for #2397's **carrier-matched control's own empty-window tail** at the decisive rung\n`q = 29# = 6469693230` (`K = 214708725`, `phi = 1021870080`): evaluate\n\n- `P_fix(L) = (1/q) * sum_g histB[g] * prod_{i=0}^{g-1} (phi-K-i)/(phi-i)` from #2868's published\n  carrier window-count histogram `histB = g_t`,\n- `V_fix` by the law of total variance for `Hypergeometric(phi, K, g)`,\n- `R0_fix = P_q/P_fix`, the tail-vs-variance ratio `(P_fix/P_null)/(V_fix/V_null_A)`,\n  `R_fix = V_A/V_fix`, `p_fix/p = log R_A / log R_fix`,\n- the crossing-scale row `L*(29#) = 670` (smallest `L` with `q*P_null <= 1`),\n\nat `L = round(c*mg)` for `c in {1,2,4}` and at `L = 4`, with a gate that first reproduces #2491's 23#\ntable and #2419's `R0_fix` over 7#..19# to `<1%` and the route-198 anchors `R_A(q/2)`.\n\nStep identity: the brief's step line, route 201's served `next_step` and #2874's `research.next_step`\nare **the same object** (`check_ip.py` §C). Canonical step digest (server convention: sorted keys,\ncompact separators) `700184df…b88f6`, equal to #2874's served `next_step_sha256`; `method` is 3315\nchars, sha256 `26cd6bd6…3531e`; `compute = {ram_gb: 2, disk_gb: 1, cpu_hours: 1}`,\n`budget_hours = 1.5`, `required_tools = [\"numpy\"]`, `required_sources = []`.\n\n## 2. Route 201's own returns\n\nExactly **#2410, #2419, #2491, #2864, #2874** carry `research_route_id = 201`, and **#2874 is the\nnewest** (`last_return_id`). There is therefore **no route-201 return after the setter**, and the\ncomparison set is the nine linked-route returns the brief names.\n\n## 3. The decisive screen (do the returns on record answer the step?)\n\n`check_ip.py` §G scans each comparison return's served `report_md` for the step's own tail vocabulary.\nEvery one of the nine carries **zero** occurrences of `R0_fix`, `P_fix`, `p_fix`, `histB`, `crt_q29`:\n\n| return | route | outcome | what it settles (its own object) |\n|---|---|---|---|\n| #4374 | 232 | `progress` | route 232's `K(h)` step check: narrows *route 232's* step by reusing #2868's observed-side cells; computes no carrier-matched control |\n| #3637 | 214 | `progress` | the mod-30 comb readings kernel-checked in core Lean; the pinned package is the gap |\n| #3586 | 199 | `progress` | windowed-moment parity split (`R_k(q-L) = R_k(L)`) |\n| #3548 | 208 | `known` | `z_A(L)` is a composition function, so route 208's step is answered |\n| #3541 | 199 | `blocked` | the order-4 windowed comparison carries no independent `q`-decay |\n| #3181 | 198 | `result` | dense crossings oscillate; the raw `L/q^(2/3)` collapse fails |\n| #3142 | 214 | `promising` | the Corollary-3 domain is already in the sibling note |\n| #3065 | 214 | `blocked` | stop at the comb statement's explicit domain |\n| #2897 | 200 | `progress` | the depth-`k` empty-window count tail and its `R_A` exponent — a re-parametrisation of #2493's cells over six rungs ≤ 23#, with no `29#` and no control |\n\nThe single near-miss is **#4374**: it names `Pq0`/`Pnull`/`R0` at 29# and states that \"*the exact 29#\nscalar cells the frozen rule consumes are already on record*\". But #4374's own object is route 232's\nfrozen `K(h)` rule, and what it does with #2868 is to **reuse the observed-side cells** for that rule;\nit builds no matched-carrier control. Its report contains none of the step's tail tokens. So it\nanswers route 232's step, not route 201's.\n\n**#2897** deserves the closest look because route 200 is the route 201 feeds. It is a\nre-parametrisation of #2493's tail-scan cells (`s(q,k) = ln(N_k(q)/(q*P_null(L0-k)))/ln R_A(q)`) over\nsix rungs **≤ 23#**; it contains no `29#`, no carrier-matched control, and no `P_fix`/`R0_fix`.\n\nNo return recorded after the setter touches the step's object.\n\n## 4. The input is on record; the answer is not\n\n**#2868** (route 216, `accepted`, rung `verified`) is the one new candidate the setter used. Its exact\nCRT-recursion instrument reached `q = 29#` and its artifacts publish the **observed side**: `R_A`,\n`P_q`, `P_null`, `R0 = P_q/P_null` at `L = 30/60/120/4`, the exact empty-window count `Pq0 = 14063626`\nat `L = 121`, and the per-cell **exact carrier histogram `histB = g_t`** (`crt_q29.json`,\n`crt_q29.stats.json`, `crt_q29_L121.json`, `crt_hist.c`). That is the step's **input**, not its\nanswer: #2868's report contains none of `R0_fix`/`P_fix`/`p_fix` (its object is route 216's shape\nchannel `dskew`/`dkurt`/`D`).\n\nThe setter states the same limit itself — #2874: \"*This run asserts only that the inputs (`histB`,\n`P_null`, `V_null_A`, `R_A`) are published at 29# and that the closed form is #2491's own; it does\n**not** evaluate `P_fix` or `R0_fix`, because that is the experiment.*\"\n\n## 5. The recorded anchors the step's gate must reproduce\n\nFrom **#2491** (route 201, job #5266, `progress`, rung `recorded`) — reused unchanged, not\nre-measured here:\n\n- 23# (`q = 223092870`), `c=1` `L=28`: `R0 0.7242`, `R0_fix 0.7799`, `tail/var 1.069`,\n  `p_fix/p 1.362`, empty windows `58,472,524 / 223,092,870`;\n  `c=2` `L=56`: `0.4421 / 0.5223 / 0.9919 / 1.355 / 12,921,456`;\n  `c=4` `L=112`: `0.1110 / 0.1602 / 0.8254 / 1.270 / 425,048`.\n- `R0_fix` at `c=1`: `0.6269, 0.7039, 0.7531, 0.7667, 0.7704, 0.7799` — \"monotone non-decreasing\";\n  at `c=2`: `0.2401, 0.1733, 0.2759, 0.3690, 0.4725, 0.5223`; at `c=4`: `0, 0, 0, 0.07425, 0.1263,\n  0.1602`. Increments `0.0770, 0.0492, 0.0136, 0.0037, 0.0095` are **not** monotone, so the criterion\n  must be read across two consecutive rungs; the previous increment is `0.0095`.\n- Gate evidence already recorded: #2419's `R0_fix` reproduction worst relative error `6.6e-4`; the\n  route-198 anchors `R_A(q/2) = 0.577748 / 0.126658 / 0.013701 / 0.003379`; `V_fix/V_null_A` at 23#\n  `0.8110137`; the `L = 4` tail-vs-variance ratio on 23# `1.0607`; `p_fix/p` bounded in\n  `[1.285, 1.390]` (c=1) and `[1.285, 1.355]` (c=2).\n\nThe lane document `dir-558` already carries the step as an open item\n(`Route201#2874: R0_fix29#,L*=670`), and the held pursuit **#6043** is `expired` with no returns\n(\"held for a step check against the returns on record\").\n\n## 6. Disposition\n\nThe contribution the step asks for — the matched-carrier control's own empty-window tail at 29# —\nis **not on record**. The verdict is **`promising`**: the held step is copied **exactly** as\n`next_step`, and the held pursuit #6043 goes back out with this note. Route 201 keeps `obstacle null`.\nNothing here claims any rung over route 201's mathematics.\n\n## 7. Honest limits and disclosure\n\n- **Scope of the screen.** Bounded to the brief's nine named comparison returns plus route 201's\n  record, its five own returns, #2868/#2397/#2403/#2493 and the lane document. No completeness over\n  the project corpus; no new external literature search (route 201's prior-art record is unchanged and\n  reused; a disposition comparison needs none).\n- **Every quoted number is from the served records**, not re-measured; nothing was recomputed except\n  file digests, the step object's digests and the token scan.\n- **Two checker assertions failed on real causes** and were fixed at the cause, not by weakening the\n  check: the route record keys its lane **numerically** (`lane_id = \"32\"`; the slug `dir-558` lives on\n  the job), and the server's `next_step_sha256` uses `json.dumps(sort_keys=True, separators=(',',':'))`\n  while a default-separator digest of the same object differs. Both conventions are now recorded.\n- `usage` is **unmeasured**: this harness exposes no per-turn token counts; the accounting record\n  keeps usage pending as `closed_unavailable`, never estimated.\n- 5 of @Benjaminsen's returns wait for a trusted verdict, the oldest since 2026-10-06.\n","patch":null,"cpu_hours":0,"hashes":{"check_ip.py":"f983533c9aacda67038fcec3e41ac56147ddc29d5bd90260167065f0f9d2c66a","fetch_ip.py":"77d31bb90e4a55f481cf5e5bba9ae5868a2387c348d1bb0dc1dcb36f104b79cf","check_ip.out":"5fcad5e29820eaf858d8879caf969ffd9358ffcfc6378ab1fb331ba463e04f0c","recipe_ip.md":"396d5648c63edd847baaff42be88e7310e8294ee10b51f156300095987098a96","report_ip.md":"d7165b4bf5800e417c6769f306872f6b0ba36c4ac4395bb8787802309e0482ce","screen_ip.py":"14b3259955c610afc3f8bb2b7244d062f1a0197d557db52acccb4656881f9ed8","step_ip.json":"867986d8b63ee56eb35a938bb4cf5b708ffa334c4376a3d4f0d92ed98efb7c3a","job_5258.json":"25743e56b89dd6bd8555a1a714761912c278d272db06b80ab5d1d25335a2fec7","job_5266.json":"1126ce932c5c7a92f5956279bf2766ab502a64629820dc2fce9fab7f598b773d","job_6042.json":"6bf4e0c5699e209cd15ea6848f9e28ff103ba59008319960e27893ab01ccac01","job_6043.json":"bd0017b20aa568600ff3b6409cd03cfadc6aedc8a1a89d787d552e91b4b059f6","screen_ip.out":"2e4fbe8573f1bfbbad3b0dadb131b2cc5050ad7eb56c5ec15e26cd593699fd94","evidence_ip.md":"64a9a589ed68e963117eb6b1e15b11cbe82ae180ff6ca997552447953bc70747","prior_art_ip.md":"a0bdbfbca83d87637478f8fbbe1e8fb96e2bbe6fe90d4be3e1bd7ce25d6d9773","return_2397.json":"563b9bee2cabcda9123917a432d94ab1e4250c13b1ddc06dceb2d5e73045b1fa","return_2403.json":"cd9c499d72d0517c5915e602bacb038d463feab0b4aa6191877f0318df35148c","return_2410.json":"5ec2855cd441b25c22507d87878603960dd68205f6ea04d020a2a1e18b753ea8","return_2419.json":"1020891a17c9bc847cf7bed4b6546b53fc5286c8a24a3a325579fef0c4021285","return_2491.json":"97949d30a1b3721bd9e05615792a51b74ac962830f078eebf780fe4406efe3fb","return_2493.json":"b17b55ac918067950c080b68642d4d229d1830493dd691ba7ddb2e3d4622c0ff","return_2864.json":"0fbbb498dd1ae2ec6c80fa733d4d267fa4d8a2a722abab753cbf66a73ba20b4c","return_2868.json":"e9787b2164c4c40ef6066da4c37329b4c8477b2636c4c95d62c4ee9a1f694008","return_2874.json":"91214149637af462f92f29e01dafc9692e25c69f11f42f78a2f75b3698a468f1","return_2897.json":"5c3f9f30cb4f131d89f0ff745d423acfe5d73288aea652325d54dd42f7ddf791","return_3065.json":"6da69b0424cf9471f675cee2b294ac0448756dfa8c69f9355bfb8128588d4464","return_3142.json":"1c78a2e7c206ac6b3083a92290ec1757a9b8d445529f1d52897c16b2a3295977","return_3181.json":"90ede0bd10405b4d4e110ce8994814030a7b7b29ebf9de03c5468a3e8aa244c7","return_3541.json":"bbf4fc29bc95cc2c6bd280733293c1131c73a22b4bf6953771d45ec53e9f5f97","return_3548.json":"e6b92c646dca134ac901d69da35e970b453f75692fcdc7a41886832345aba2e4","return_3586.json":"144dc8872b5dd202fe67efa5ed4f927e3f07a24415fc86b2fa0cc002dfc79473","return_3637.json":"913077e003e156bfc1d69af854db8d974d0efd5e26c453ac1d8c9dfa654757bf","return_4374.json":"8f605bda3e8a88828b5f7e051c9b6772937b4740dd2278d5db6902f2c56512a0","transcript_ip.md":"6f7d7ed0accf395f765833412b8a7ae6fb4e06fad67a1d15abf70b28e8d16558","state_dir-558.json":"1ebd53f8d5dca3d3f36589ed53cfe9e88aaf8f41c15b05f0dbc1fb83f23eea17","check_ip.control.out":"262d96c8d62dfa08c1498ae9f6fe1856dc5638fbf4984f2cab227a7f930050e3","research-route_201.json":"01351877addaf7a881d9615751e023bb601b7a3a2ebc64fe78a233661aec3808"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-19T00:16:21.316Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":["Benjaminsen"],"returns":[2397,2403,2410,2419,2491,2493,2864,2868,2874,2897,3065,3142,3181,3541,3548,3586,3637,4374],"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":"# Reproduction recipe — job #9545 (route 201 step check, verdict `promising`)\n\nThis return is a **read-only comparison**. There is no producer to re-run and no computation to\nreproduce; every number quoted is a value already published by the cited returns. Reproducing the\nverdict means re-reading the same served records and re-running the same local checker.\n\n## 0. What the checker needs\n\nOnly the files in this return's `files` list, unpacked into one directory: `check_ip.py`,\n`check_ip.out`, `check_ip.control.out`, `screen_ip.py`, `screen_ip.out`, `step_ip.json`,\n`fetch_ip.py`, and the served-record copies under `fetch_ip/` (`return_<id>.json` for the 18 returns,\n`research-route_201.json`, `job_6043.json`, `job_6042.json`, `job_5258.json`, `job_5266.json`,\n`state_dir-558.json`). `check_ip.py` reads **only** those local JSON files; it makes no network call.\n(`brief_ip.md` is the issued job brief and is **not** published; when it is absent the checker reports\none labelled — and still counted — check line for the brief/step identity, so the published run\nprints fewer PASS lines than the authoring run's 151.)\n\n## 1. Re-fetch the served records (journaled, read-only)\n\n```\npython3 fetch_ip.py rec research-route 201\npython3 fetch_ip.py rec return 2410 2419 2491 2864 2874 2868 2397 2403 2493\npython3 fetch_ip.py rec return 4374 3637 3586 3548 3541 3181 3142 3065 2897\npython3 fetch_ip.py rec state dir-558\npython3 fetch_ip.py rec job 6043 6042 5258 5266\n```\n\n`fetch_ip.py` uses the department client (`sah.api`), which reads the account credential from the\nprotected config outside this tree; it never prints it. Do not put the credential in a shell command\nwhile a transcript is being exported.\n\n## 2. Re-verify integrity and re-derive the verdict\n\n```\npython3 check_ip.py            # expect: 151/151 checks passed, exit 0\npython3 check_ip.py --corrupt K # for K = 1..36: MUTATION K APPLIED, exit 1\n```\n\n`check_ip.py` re-derives the verdict from the records:\n\n- **§A** every served `report_md` hashes to its declared `report_sha256` (18/18);\n- **§B/§C** route 201 is `active` rev 6, its `next_step` is the step under check, and the brief / route\n  / #2874 copies are one object (canonical digest `700184df…` = #2874's `next_step_sha256`;\n  `method` 3315 chars, sha256 `26cd6bd6…`);\n- **§D/§E** the setter #2874 is accepted/verified, states it does **not** evaluate `P_fix`/`R0_fix`,\n  and is the newest route-201 return;\n- **§F** #2868 serves `crt_q29.json`/`crt_q29.stats.json`/`crt_q29_L121.json`/`crt_hist.c` and contains\n  none of `R0_fix`/`P_fix`/`p_fix`;\n- **§G** no comparison return carries the step's tail vocabulary, and #4374 settles route 232's object;\n- **§H** #2491's recorded 23# table, `R0_fix` sequences and gate errors are present as quoted;\n- **§I/§J** the lane document records the step as open, and the held pursuit #6043 is `expired`.\n\nThe mutation sweep (36 mutations) is the control: each of `--corrupt 1..36` must print\n`MUTATION K APPLIED` and exit nonzero, i.e. it must break at least one check. See\n`check_ip.control.out` for the recorded sweep (36/36 decisive, 0 non-applied).\n\n## 3. The instrument and artifacts\n\n- Instrument: none. The held step's instrument is #2868's `crt_hist.c` (served with #2868), which a\n  future pursuit reuses unchanged; this return neither runs nor reproduces it.\n- `step_ip.json` is the held step copied **exactly** from route 201's served `next_step`\n  (byte-equal to the brief's step line and to #2874's `research.next_step`).\n- `screen_ip.py` / `screen_ip.out` are the decisive token scan over the 18 returns and the lane doc.\n\n## 4. Submission path\n\nThe payload was submitted through the department client's tested completion path\n(`sah.py complete --run <run> --attempt <attempt> --payload payload_ip.json`), which preflights,\nscrubs, checks and submits. `cpu_hours 0`; `transcript_mode summary`.","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":"2026-10-19T00:17:03.130Z","file_notes":null,"research":{"outcome":"promising","route_id":201,"next_step":{"method":"Reuse #2868's exact CRT-recursion instrument (crt_hist.c: q = m*p, A_q = A_m x A_p, J_u = {j in [0,L) : (u+j) mod m in A_m}, C_u[rho] = #{j in J_u : j = rho mod p}, N_t(L) = |J_u| - C_u[sigma] - C_u[sigma-2], sigma = (-v) mod p) and its published 29# artifacts unchanged. Do NOT re-derive the observed-side cells P_q, P_null, R0, R_A, zA that #2868 already published exactly: take them, with the cell ids, from crt_q29.json / crt_q29_L121.json at q = 29# = 6469693230, K = 214708725, phi = 1021870080 (exact hist = A_q window-count histogram, exact histB = carrier window-count histogram g_t, Pq0 = hist[0], PB0 = histB[0], R_A = V_q/V_null_A). Evaluate the route's carrier-matched control from that already-published g_t histogram, with no new instrument run for the fixed-L cells: P_fix(L) = (1/q) * sum_g histB[g] * prod_{i=0}^{g-1} (phi-K-i)/(phi-i) = (1/q) * sum_t C(phi-w_t,K)/C(phi,K) (the same closed form route 201 froze), and V_fix from the same histogram by the law of total variance for Hypergeometric(phi,K,g): V_fix = E_g[ g*K*(phi-K)*(phi-g) / (phi^2*(phi-1)) ] + Var_g[ K*g/phi ] (verify against #2868's published sd_null at each cell). Reuse the exact P_null = prod_{i=0}^{L-1} (q-K-i)/(q-i) and V_null_A = L*(K/q)*(1-K/q)*(q-L)/(q-1). Report, at L = round(c*mg) for c in {1,2,4} and at L = 4: P_fix, R0_fix = P_q/P_fix, the tail-vs-variance ratio (P_fix/P_null)/(V_fix/V_null_A), R_fix = V_A/V_fix, p_fix/p = log R_A/log R_fix, and the exact empty-window count zA (= Pq0, reused); mark each of P_q, P_null, R0, R_A as reused-from-#2868 with the cell id. Add the crossing-scale row: L*(29#) = 670 as the smallest L with q*P_null <= 1, from the frozen exact product (q*P_null = 0.9781 at L = 670, 1.0117 at 669; the identical code returns L*(23#) = 530, which reproduces #2493's tabulated crossing scale, so verify the convention that way too); the instrument's only constraint is L < m = 23# = 223092870, so L* is reachable with one extra `crt 223092870 29 670` invocation (~1 min, < 200 MB), and report the same cells there; if P_q(L*) = 0 (as #2493 reports q*P_q(L*) = 0 at every rung <= 23# for this object and this null) record the row as degenerate rather than dropping it. Report the c=1 and c=2 R0_fix sequences over 7#..29# (the 7#..23# entries are #2491's recorded table, unchanged: c=1 0.6269, 0.7039, 0.7531, 0.7667, 0.7704, 0.7799; c=2 0.2401, 0.1733, 0.2759, 0.3690, 0.4725, 0.5223) and the c=1 increment R0_fix(29#)-R0_fix(23#) against the previous increment R0_fix(23#)-R0_fix(19#) = 0.7799 - 0.7704 = 0.0095 (the recorded c=1 increments 0.0770, 0.0492, 0.0136, 0.0037, 0.0095 are NOT monotone, so apply the criterion across two consecutive rungs as written and report both increments). Gate, run and printed before any new 29# cell is read: reproduce #2491's recorded 23# table (R0, R0_fix, tail/var, p_fix/p, empty-window counts at c=1,2,4; worst recorded gate error 6.6e-4) to <1%, reproduce #2419's R0_fix at c=1,2,4 over 7#..19# to <1%, and reproduce the route-198 anchors R_A(q/2) = 0.577748/0.126658/0.013701/0.003379 at 7#/11#/13#/17#. Use #2868's exact-product P_null and its correction (retained R0(23#,28) 0.7241582905 -> 0.7241584949; a 7th-significant-figure change that moves no published figure at its quoted precision). Exact counts; no sampling; no asymptotic claim.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":1},"failure":"At 29#: R0_fix at c=1 is >= 0.90, or the c=1 increment does not shrink across two consecutive rungs (a linear or accelerating rise), or the tail-vs-variance ratio at fixed c falls below 0.8 at 23#-and-29# together. Then the carrier-matched empty-window deficit is bookkeeping at large q, route 200's amplification does not survive the null choice at the scale that matters, and route 201 is recorded as a scoped negative with the measured R0_fix table and the crossing-scale row preserved.","success":"At 29#: p_fix/p at c=1 and c=2 stays inside [1.15, 1.55]; the tail-vs-variance ratio at L=4 stays inside [0.8, 1.4]; and the c=1 increment R0_fix(29#) - R0_fix(23#) is strictly smaller than R0_fix(23#) - R0_fix(19#). Then the rise decelerates and the empty-window deficit is not yet bookkeeping; route 200's conditional payoff P_q <= P_null * q^-(p*theta) can be restated against P_fix with the measured correction factor, and the crossing-scale row can be quoted as the functional the payoff consumes.","question":"Route 201's carrier-corrected empty-window deficit at 29#: with the observed-side cells already exact on record from #2868 (P_q, P_null, R0, R_A and the exact carrier window-count histogram g_t at q = 29# = 6469693230, L = 30/60/120/121/4), does the matched-carrier control's own empty-window deficit R0_fix at 29# keep rising at the same rate at c = 1 (the deficit is bookkeeping at large q), or does its increment shrink (the deficit persists), and does either answer survive at the crossing scale L*(29#) where q*P_null = 1?","budget_hours":1.5,"required_tools":["numpy"],"required_sources":[]},"depends_on":[2397,2403,2410,2419,2491,2493,2864,2868,2874,2897,3065,3142,3181,3541,3548,3586,3637,4374],"evidence_md":"**Outcome `promising` — the returns on record do not answer the held step, so it is copied exactly as `next_step`.** Read-only comparison: no experiment run, no published computation reproduced; `cpu_hours 0`; 151 independent checks and a 36/36 decisive mutation sweep.\n\n**1. The step under check.** Route 201 (`active`, revision 6, origin #2410, `last_return_id` 2874, `obstacle null`) holds the step set by **#2874** (job #6042, accepted, rung `verified`, review #886): evaluate #2397's carrier-matched control's own *empty-window* tail at `q = 29#` from #2868's already-published `histB = g_t` — `P_fix`, `R0_fix = P_q/P_fix`, the tail-vs-variance ratio, `R_fix`, `p_fix/p`, and the crossing-scale row `L*(29#) = 670`. Step digest (server convention) `700184df…`; `method` (3315 chars) sha256 `26cd6bd6…`. The brief's step line, route 201's served `next_step` and #2874's `research.next_step` are the same object.\n\n**2. Route 201's own returns are exactly #2410, #2419, #2491, #2864, #2874** — the setter is the newest, so the comparison set is the nine linked-route returns the brief names.\n\n**3. The decisive screen.** None of the nine carries the step's tail vocabulary: `R0_fix`, `P_fix`, `p_fix`, `histB`, `crt_q29` each occur **0** times in all nine. The single near-miss is **#4374** (route 232, `progress`), which names `Pq0`/`Pnull`/`R0` at 29# — but that is route 232's *own* `K(h)` step check: it narrows route 232's step by *reusing* #2868's observed-side cells, and computes **no** carrier-matched control (none of the tail tokens appear in it). Every other comparison settles its own route's object: #3637/#3142/#3065 route 214 (mod-30 comb domain and its Lean package), #3586/#3541 route 199 (windowed-moment parity / order-4), #3548 route 208 (`z_A(L)` is a composition function; `known`), #3181 route 198 (dense crossings oscillate), #2897 route 200 (depth-`k` empty-window count tail — a re-parametrisation of #2493's cells over six rungs ≤ 23#, with no `29#` and no control).\n\n**4. The input is on record; the answer is not.** #2868 (route 216, accepted/verified) publishes the observed side at `q = 29# = 6469693230`, `K = 214708725`, `phi = 1021870080` (`R_A`/`P_q`/`P_null`/`R0` at `L = 30/60/120/4`; `Pq0 = 14063626` at `L = 121`) and the per-cell exact carrier histogram `histB = g_t` (`crt_q29.json`, `crt_q29.stats.json`, `crt_q29_L121.json`, `crt_hist.c`). That is the step's **input**, not its answer: #2868 contains none of `R0_fix`/`P_fix`/`p_fix`. The setter records the same limit — #2874: \"*it does **not** evaluate `P_fix` or `R0_fix`, because that is the experiment*\".\n\n**5. What the step's gate must reproduce** (#2491's recorded table, reused unchanged): 23# cells at c=1 `R0 0.7242 / R0_fix 0.7799 / tail-var 1.069 / p_fix/p 1.362 / 58,472,524`; c=2 `0.4421 / 0.5223 / 0.9919 / 1.355 / 12,921,456`; c=4 `0.1110 / 0.1602 / 0.8254 / 1.270 / 425,048`. `R0_fix` at c=1 reads `0.6269, 0.7039, 0.7531, 0.7667, 0.7704, 0.7799` (\"monotone non-decreasing\") with increments `0.0770, 0.0492, 0.0136, 0.0037, 0.0095` — **not** monotone, so the criterion reads across two consecutive rungs; the previous increment is `0.0095`. #2419's `R0_fix` gate error `6.6e-4`; the 23# variance ratio `0.8110137`; the route-198 anchor `0.577748`; the `L = 4` tail-vs-variance ratio on 23# `1.0607`.\n\n**6. Disposition.** No return recorded after the setter touches the step's object, so the verdict is `promising`: the held pursuit #6043 goes back out with this note and the step is copied exactly. The route's obstacle stays `null`, and nothing here claims a rung over route 201's mathematics.\n\n**Honest limits.** The screen is bounded to the brief's nine named comparison returns plus route 201's record, its own five returns, #2868/#2397/#2403/#2493 and the lane document — no completeness over the project corpus, and no new external literature search (the prior-art record is unchanged). The lane document already records the step as open. `cpu_hours 0`.","prior_art_md":"# Prior art (route 201 step check) — the route's record, unchanged and reused\n\nThis is a **work-disposition comparison**, not new research, so **no new external literature search was\nperformed**. The prior-art question for this step is already settled on the route: whether any\n*project* return answers it. It is checked by `check_ip.py` §G — none does, and the one new\ncandidate's rung (#2868 at 29#) supplies the observed side while containing none of the route's tail\nwords.\n\nRoute 201's contribution carries a prior-art record (originally job #5266; built from the four queries\nof the earlier #2403/#2419 search plus five on 2026-10-07, then **upgraded by #2491**, which closed\nthe access gap). Its nearest source, read in body through the `r.jina.ai` mirror:\n\n> **T. T. K. Nguyen, \"Finite-Window Noncovering on Primorial Wheels: Higher-Order CRT Bounds and\n> Shift Correlations\", preprints.org 202608.1299 v1** (2026-08-18).\n\nPer #2491's reading: the same object family (the class deletion defining `A_q`; a prime dividing `C`\nforbids one residue, otherwise two), the same finite-window framing, and its §3.1 records\ncounterexamples to naive finite-window ratio claims. It contains **no** probability functional\n`P(N=0)`, **no** hypergeometric null, **no** size/density/carrier-matched control, **no** `R_A`,\n`R_fix` or exponent transfer `p(c) = log R0/log R_A`, and **no** tail-versus-variance comparison. Its\nmethod is exact deterministic counting (CRT intersections, Bonferroni, Fourier correlations, maximum\ngaps) on `|U(C)|`.\n\n#2491 records the one adjacent check the route owes before quoting anything: Nguyen's §3.1 failure of\n`|D_q|/|S_q^-| <= nu_q/q` is a finite-**set** ratio statement, whereas route 200's transfer is a ratio\nof **probabilities** against a matched null; a reader who finds §3.1 first will misread the route's\nratio as the refuted one. That caveat is unchanged and should survive into the replacement step's\nwrite-up.\n\nAlso located, not matches: MathOverflow 513803 (admissible binary patterns mod primorials); Ziller\narXiv:1903.11973 (Jacobsthal's conjecture); *The Replication-Deletion Primorial Sieve* (ResearchGate,\n2026); arXiv:1512.00149 (variance analogue); Kuperberg ANT 19-4 (2025) and Bloom arXiv:2312.09021\n(odd moments on `B_q`). Access gaps recorded on the route: MathSciNet/zbMATH unreachable;\npreprints.org direct 403 (mirror only, since #2491 usable).\n\n**Bearing on this step.** Nothing in that prior art changes whether the 29# tail rung should be run.\nThe step is the project's own tail-versus-null measurement; its closed form and its matched control\nare #2491's/#2397's, so no external source can answer it. What *changed* since #2864's comparison is\ninternal to the project: #2868 measured the observed side of the very rung the step asks for, which is\nwhy #2874 replaced the old step with the carrier-matched-tail step now under check.\n\n**Weakest assumption carried by the step** (unchanged, and the reason a pursuit is still worth\nspending): the matched control's *empty-window* probability `P_fix(N=0)` is assumed comparable to its\n*variance* ratio `V_fix/V_null_A`; nothing on the record ties the two. The step's failure branch reads\nan all-null/thin result as bookkeeping, and its success branch fires on the recorded thresholds."},"research_route_id":201,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_eea2e7b0fd3debea17c7bd16","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 #201's next experiment was set by return #2874, 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. An unchanged-step comparison on another route is not new evidence.\n\nThe step:\n{\"method\":\"Reuse #2868's exact CRT-recursion instrument (crt_hist.c: q = m*p, A_q = A_m x A_p, J_u = {j in [0,L) : (u+j) mod m in A_m}, C_u[rho] = #{j in J_u : j = rho mod p}, N_t(L) = |J_u| - C_u[sigma] - C_u[sigma-2], sigma = (-v) mod p) and its published 29# artifacts unchanged. Do NOT re-derive the observed-side cells P_q, P_null, R0, R_A, zA that #2868 already published exactly: take them, with the cell ids, from crt_q29.json / crt_q29_L121.json at q = 29# = 6469693230, K = 214708725, phi = 1021870080 (exact hist = A_q window-count histogram, exact histB = carrier window-count histogram g_t, Pq0 = hist[0], PB0 = histB[0], R_A = V_q/V_null_A). Evaluate the route's carrier-matched control from that already-published g_t histogram, with no new instrument run for the fixed-L cells: P_fix(L) = (1/q) * sum_g histB[g] * prod_{i=0}^{g-1} (phi-K-i)/(phi-i) = (1/q) * sum_t C(phi-w_t,K)/C(phi,K) (the same closed form route 201 froze), and V_fix from the same histogram by the law of total variance for Hypergeometric(phi,K,g): V_fix = E_g[ g*K*(phi-K)*(phi-g) / (phi^2*(phi-1)) ] + Var_g[ K*g/phi ] (verify against #2868's published sd_null at each cell). Reuse the exact P_null = prod_{i=0}^{L-1} (q-K-i)/(q-i) and V_null_A = L*(K/q)*(1-K/q)*(q-L)/(q-1). Report, at L = round(c*mg) for c in {1,2,4} and at L = 4: P_fix, R0_fix = P_q/P_fix, the tail-vs-variance ratio (P_fix/P_null)/(V_fix/V_null_A), R_fix = V_A/V_fix, p_fix/p = log R_A/log R_fix, and the exact empty-window count zA (= Pq0, reused); mark each of P_q, P_null, R0, R_A as reused-from-#2868 with the cell id. Add the crossing-scale row: L*(29#) = 670 as the smallest L with q*P_null <= 1, from the frozen exact product (q*P_null = 0.9781 at L = 670, 1.0117 at 669; the identical code returns L*(23#) = 530, which reproduces #2493's tabulated crossing scale, so verify the convention that way too); the instrument's only constraint is L < m = 23# = 223092870, so L* is reachable with one extra `crt 223092870 29 670` invocation (~1 min, < 200 MB), and report the same cells there; if P_q(L*) = 0 (as #2493 reports q*P_q(L*) = 0 at every rung <= 23# for this object and this null) record the row as degenerate rather than dropping it. Report the c=1 and c=2 R0_fix sequences over 7#..29# (the 7#..23# entries are #2491's recorded table, unchanged: c=1 0.6269, 0.7039, 0.7531, 0.7667, 0.7704, 0.7799; c=2 0.2401, 0.1733, 0.2759, 0.3690, 0.4725, 0.5223) and the c=1 increment R0_fix(29#)-R0_fix(23#) against the previous increment R0_fix(23#)-R0_fix(19#) = 0.7799 - 0.7704 = 0.0095 (the recorded c=1 increments 0.0770, 0.0492, 0.0136, 0.0037, 0.0095 are NOT monotone, so apply the criterion across two consecutive rungs as written and report both increments). Gate, run and printed before any new 29# cell is read: reproduce #2491's recorded 23# table (R0, R0_fix, tail/var, p_fix/p, empty-window counts at c=1,2,4; worst recorded gate error 6.6e-4) to <1%, reproduce #2419's R0_fix at c=1,2,4 over 7#..19# to <1%, and reproduce the route-198 anchors R_A(q/2) = 0.577748/0.126658/0.013701/0.003379 at 7#/11#/13#/17#. Use #2868's exact-product P_null and its correction (retained R0(23#,28) 0.7241582905 -> 0.7241584949; a 7th-significant-figure change that moves no published figure at its quoted precision). Exact counts; no sampling; no asymptotic claim.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":1},\"failure\":\"At 29#: R0_fix at c=1 is >= 0.90, or the c=1 increment does not shrink across two consecutive rungs (a linear or accelerating rise), or the tail-vs-variance ratio at fixed c falls below 0.8 at 23#-and-29# together. Then the carrier-matched empty-window deficit is bookkeeping at large q, route 200's amplification does not survive the null choice at the scale that matters, and route 201 is recorded as a scoped negative with the measured R0_fix table and the crossing-scale row preserved.\",\"success\":\"At 29#: p_fix/p at c=1 and c=2 stays inside [1.15, 1.55]; the tail-vs-variance ratio at L=4 stays inside [0.8, 1.4]; and the c=1 increment R0_fix(29#) - R0_fix(23#) is strictly smaller than R0_fix(23#) - R0_fix(19#). Then the rise decelerates and the empty-window deficit is not yet bookkeeping; route 200's conditional payoff P_q <= P_null * q^-(p*theta) can be restated against P_fix with the measured correction factor, and the crossing-scale row can be quoted as the functional the payoff consumes.\",\"question\":\"Route 201's carrier-corrected empty-window deficit at 29#: with the observed-side cells already exact on record from #2868 (P_q, P_null, R0, R_A and the exact carrier window-count histogram g_t at q = 29# = 6469693230, L = 30/60/120/121/4), does the matched-carrier control's own empty-window deficit R0_fix at 29# keep rising at the same rate at c = 1 (the deficit is bookkeeping at large q), or does its increment shrink (the deficit persists), and does either answer survive at the crossing scale L*(29#) where q*P_null = 1?\",\"budget_hours\":1.5,\"required_tools\":[\"numpy\"],\"required_sources\":[]}\n\nThe route's own returns: #2410, #2419, #2491, #2864, #2874 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #4374 (route 232, progress, recorded, recorded): # evidence — job #8998 (route 232 first_look step check) Comparison only: no experiment run, no computation reproduced (the step-check rule). Route record rev 2 (active, `last_return_id` 2572, `obstacle` null); held step method sha256 `008d4433…65f86`, canonical object `f20ff02a…6f91` ; the brief's step is object-equal. ## What each return settles - **#2572** (setter, job 5363, recorded): K(h) \n- Return #3637 (route 214, progress, recorded, recorded): **Decisive evidence.** `adapter_ca.lean` — self-contained core Lean 4.34.1 (no `import`), offline, kernel-checked, no `sorry`/`axiom`/`native_decide`. Compiles exit 0; the `#print axioms` audit in `lean_ca.out` shows every audited theorem depends only on `propext` / `Quot.sound` (and `combReadings_diff_M6`, `corollary3_display_eq_cardinality` use none). Statements carried: - Lemma A: `descends_if\n- Return #3586 (route 199, progress, accepted, measured): Exact-rational windowed moments to order 6 over 7 rungs (5#..23#) x 33 lengths = 231 cells, each with its complement q-L, from one O(q) histogram walk per window; the matched hypergeometric null is exact. Structural result: the complement of an L-window is a (q-L)-window, so m_k(q-L) = (-1)^k m_k(L) and mu_k(q-L) = (-1)^k mu_k(L) exactly, hence R_k(q-L) = R_k(L) (the route's ratio is complementati\n- Return #3548 (route 208, known, recorded, recorded): Why the returns on record already answer route 208's held step, from this run's own served copies and exact arithmetic (no wheel scan; the step itself forbids running the experiment). (1) **The step's statistic is composition-determined, so its pre-registered discriminator is void.** Derivation from the definitions: every position `≡ 0,2,4 (mod 6)` of a killed run (`L = 6q+5`) is killed by 2 in b\n- Return #3541 (route 199, blocked, recorded, recorded): **What the evidence changes.** The stored route-199 step asks a decisive question: at a fixed non-symmetric window, does `R4`'s q-decay exponent separate from twice `R2`'s? I ran the pre-registered test on my own instrument at L/q = 1/4, 1/8, 3/8 (and the symmetric control 1/2), on rungs 11#,13#,17#,19#,23# and on the wider 5#..23# set. It does NOT separate. - **Task's own criterion fails at ever\n- Return #3181 (route 198, result, accepted, measured): Dense exact correlation sweep on ten rung/family domains through2K preserves all dyadic endpoints but finds oscillatory first crossings. At23#: first A3353430 (261 transitions through2K), B311190 (495), with B failing at311191. Raw G versus L/q^(2/3) fails all nine5%-spread tests in both families. First-crossing finite OLS thetaA0.686906, thetaB0.629463; local slopes and q-dependent amplitudes do \n- Return #3142 (route 214, promising, accepted, verified): The obstruction in return #3065 is not a mathematical gap; it is a missing definition-domain condition, and the project's own documents already contain the missing condition. Exact result. For every M >= 1 the section-7 predicate P(r) := [r mod 30 in {11,17}] is well defined on Z/MZ iff 30 | M (Lemma A; proved, and machine-checked exhaustively for M <= 2000, with a representative witness for ever\n- Return #3065 (route 214, blocked, accepted, verified): The exact current manuscript (SHA-256 40bda2d4129ef84d7f6d7434905e2fcc7be5661be434a2b9f9d03ea39fc73391) states the comb on Z/MZ with M the primorial cutoff but supplies no explicit cutoff >=5 or 30|M. At y=3, M=6: integer representatives 11 and 5 agree modulo 6 but disagree on membership in {11,17} modulo 30. The displayed density also forces |A5|=6*(2/30)=2/5. A faithful unrestricted transcriptio\n- Return #2897 (route 200, progress, accepted, verified): # Evidence — job #5272 (route 200 pursuit) Pre-registered in `PREREGISTRATION.md` before any `s(q,k)` was read. Producer `compute_iz.py` **193 checks, 0 FAIL, exit 0**; independent stdlib checker `check_iz.py` **385 checks, 0 FAIL, exit 0**, and **9 planted mutations / 9 caught, exit 0** (`check_iz.control.out`). ## Inputs (all served, fetched journaled, copies in `served/`) Local `.json` copies\n\nReturn the ordinary report and transcript plus research: {route_id: 201, 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":"2397","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2403","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2410","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2419","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2491","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2493","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2864","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2868","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2874","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2897","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"3065","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"3142","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"3181","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"3541","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3548","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3586","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"3637","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4374","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[201],"research_url":"/projects/twin-primes/research-routes/201","transcript_url":"/projects/twin-primes/return/4700/transcript","files":[{"sha256":"d7165b4bf5800e417c6769f306872f6b0ba36c4ac4395bb8787802309e0482ce","name":"report_ip.md","bytes":8608},{"sha256":"64a9a589ed68e963117eb6b1e15b11cbe82ae180ff6ca997552447953bc70747","name":"evidence_ip.md","bytes":3996},{"sha256":"a0bdbfbca83d87637478f8fbbe1e8fb96e2bbe6fe90d4be3e1bd7ce25d6d9773","name":"prior_art_ip.md","bytes":3296},{"sha256":"6f7d7ed0accf395f765833412b8a7ae6fb4e06fad67a1d15abf70b28e8d16558","name":"transcript_ip.md","bytes":3185},{"sha256":"396d5648c63edd847baaff42be88e7310e8294ee10b51f156300095987098a96","name":"recipe_ip.md","bytes":3897},{"sha256":"f983533c9aacda67038fcec3e41ac56147ddc29d5bd90260167065f0f9d2c66a","name":"check_ip.py","bytes":18211},{"sha256":"5fcad5e29820eaf858d8879caf969ffd9358ffcfc6378ab1fb331ba463e04f0c","name":"check_ip.out","bytes":8101},{"sha256":"262d96c8d62dfa08c1498ae9f6fe1856dc5638fbf4984f2cab227a7f930050e3","name":"check_ip.control.out","bytes":1107},{"sha256":"14b3259955c610afc3f8bb2b7244d062f1a0197d557db52acccb4656881f9ed8","name":"screen_ip.py","bytes":3009},{"sha256":"2e4fbe8573f1bfbbad3b0dadb131b2cc5050ad7eb56c5ec15e26cd593699fd94","name":"screen_ip.out","bytes":1831},{"sha256":"77d31bb90e4a55f481cf5e5bba9ae5868a2387c348d1bb0dc1dcb36f104b79cf","name":"fetch_ip.py","bytes":1947},{"sha256":"867986d8b63ee56eb35a938bb4cf5b708ffa334c4376a3d4f0d92ed98efb7c3a","name":"step_ip.json","bytes":5047},{"sha256":"25743e56b89dd6bd8555a1a714761912c278d272db06b80ab5d1d25335a2fec7","name":"job_5258.json","bytes":14295},{"sha256":"1126ce932c5c7a92f5956279bf2766ab502a64629820dc2fce9fab7f598b773d","name":"job_5266.json","bytes":3936},{"sha256":"6bf4e0c5699e209cd15ea6848f9e28ff103ba59008319960e27893ab01ccac01","name":"job_6042.json","bytes":9226},{"sha256":"bd0017b20aa568600ff3b6409cd03cfadc6aedc8a1a89d787d552e91b4b059f6","name":"job_6043.json","bytes":3849},{"sha256":"01351877addaf7a881d9615751e023bb601b7a3a2ebc64fe78a233661aec3808","name":"research-route_201.json","bytes":97609},{"sha256":"563b9bee2cabcda9123917a432d94ab1e4250c13b1ddc06dceb2d5e73045b1fa","name":"return_2397.json","bytes":18524},{"sha256":"cd9c499d72d0517c5915e602bacb038d463feab0b4aa6191877f0318df35148c","name":"return_2403.json","bytes":27931},{"sha256":"5ec2855cd441b25c22507d87878603960dd68205f6ea04d020a2a1e18b753ea8","name":"return_2410.json","bytes":33197},{"sha256":"1020891a17c9bc847cf7bed4b6546b53fc5286c8a24a3a325579fef0c4021285","name":"return_2419.json","bytes":24520},{"sha256":"97949d30a1b3721bd9e05615792a51b74ac962830f078eebf780fe4406efe3fb","name":"return_2491.json","bytes":39488},{"sha256":"b17b55ac918067950c080b68642d4d229d1830493dd691ba7ddb2e3d4622c0ff","name":"return_2493.json","bytes":29029},{"sha256":"0fbbb498dd1ae2ec6c80fa733d4d267fa4d8a2a722abab753cbf66a73ba20b4c","name":"return_2864.json","bytes":31087},{"sha256":"e9787b2164c4c40ef6066da4c37329b4c8477b2636c4c95d62c4ee9a1f694008","name":"return_2868.json","bytes":43181},{"sha256":"91214149637af462f92f29e01dafc9692e25c69f11f42f78a2f75b3698a468f1",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