{"id":4063,"job_id":4781,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Return — job #4781 (explore/discovery, stage pursue, route 179, lane dir-558): the memory wall is\nbroken (2^28 and 2^29 under the 6 GiB cap) and the pre-registered signed ladder-wide test does **not**\nreject on the ladder the route inherited\n\nRung for every claim below: **measured** — a finite run of a streaming kernel whose bytes and outputs\nare uploaded, cross-checked against the served kernel's own printed values and against the served\ncensus artifact. Nothing asymptotic; the sufficient estimate `D_y >= -4x/25 + o(x)` of\n`research/moving-cutoff-parity.md` eq. (12) stays OPEN.\n\n## Result in one paragraph\n\nThe held step of route 179 (`return #2180`: \"a streaming rewrite … is required\") is executed. A\nstreaming rewrite of the served `O(x log Q)` kernel — `mu` (1 B/n) and `spf` (4 B/n) held, the support\nwalked in blocks `k=(n-1)/y` with the divisor sums `sm,sb` in two arrays of length `<= y+1`, and no\n`x`-sized `double` array anywhere — **reaches `2^28` under the observed 6.00 GiB cgroup cap in\nMAXRSS 1.31 GiB, 11.7 s wall for the whole 13-rung ladder** (sieve 2.5 s), and `2^29` in 2.55 GiB /\n15.3 s; the served kernel needed 9.25 GiB at `2^28` and was SIGKILLed there. It reproduces the served\nkernel's `D_y` and `sigma` at all ten scales it published (max rel `5.3e-10`, the limit of their 6-dp\nprinting) and the served census MAIN TABLE's `D_y/x` at every `j = 16..29`. On the pre-registered\n24-seed control the **ladder-wide criterion does not fire**: over the legacy even ladder\n`{18,20,22,24,26,28}` the running minimum is `-2.2555` at `2^24`, inside the control's running-minimum\nrange `[-2.5671,-0.4026]` (rank `p = 0.080`; `p = 0.093` with 224 control seeds), and the fitted slope\n`-0.0430` per `ln x` is not below its control distribution (`p = 0.48`). The new rungs do add two\nadverse readings — `z(2^25) = -2.7666` (0 of 224 control draws reach it at that rung) and\n`z(2^27) = -2.1972` (`P = 0.009`) — and on the prespecified integer rung set `{16..28}` the\nmax-statistic lands at `p = 0.040` (24 seeds) / `p = 0.0311` (224 seeds), i.e. marginal, not robust.\nAt `2^26` and `2^28` the exact-sigma readings are `-1.3091` and `-0.7536`: the top of the reachable\nladder is a **null** scale, bounding the adverse drift there by `0.754 sigma`. The census's own\ncontrol is reproduced exactly from its four signs (mean and sd at every published `j`), and its\nlarge signed high-scale ratios are shown to rest on a **4-draw** normalizer whose excursion at `2^28`\nis a factor `3.6` below the exact `sigma/x` measured here — so `z_census ~ -12` at `j=33` is not an\nexact-sigma reading and does not by itself carry the adverse structure the route is looking for.\n\n## 1. The kernel (the load-bearing deliverable)\n\n`work/sdt_kernel.c` (gcc `-O2`, uploaded). Same mathematics, same double-precision expressions and the\nsame accumulation order on `sm/sb` as the served `job4772-bg_kernel.py`\n(sha256 `05d0c83d…`, fetched and hash-verified), with one structural change: instead of four `x+1`\n`double` arrays (`f`, `lg`, `sm`, `sb` → 9.25 GiB at `2^28`) the support is walked in blocks\n`k = (n-1)/y`; inside a block only `sm,sb` of length `<= y+1` (11,114 at `2^28`) exist and `K(n)` is\nconsumed immediately. `y = ceil(x^(12/25))` is supplied by the driver as an **exact integer**\n(`y^25 >= x^12 > (y-1)^25`, exact big-int arithmetic) and the kernel's float `pow`-ceil is printed\nbeside it; they agree at every scale (checked). Memory: `5 B/n` for `mu`+`spf` + `~1e6` primes\n(4 B each) + `O(y+Q)` doubles. Measured at `2^28`: `MAXRSS 1.31 GiB` (= 1,369,256 KB); at `2^29`: `2.61 GiB`.\n\n| run | scales | wall | MAXRSS |\n|---|---|---|---|\n| validation | 12,13,14,15,16,18,20,22,24,26 | 2.1 s | 0.33 GiB |\n| ladder (24 seeds, pre-registered) | 16…28 | 11.7 s | 1.31 GiB |\n| ladder (224 seeds, sensitivity) | 16…28 | 61.6 s | 1.31 GiB |\n| reconciliation extension | 29 | 15.3 s | 2.61 GiB |\n\n`/sys/fs/cgroup/memory.max` read at run time = `6442450944` B = 6.00 GiB; `cpu.max = 200000/100000`\n(2 CPUs). All heavy runs went through `sah.py bounded` (process-group wall-clock limit; exit 0, no\nsurvivors — `bounded_*_dt.json`).\n\n## 2. Validation\n\n* **V1 (served-kernel exactness).** `D_y` and `sigma` reproduce the values printed by #2151's pilot,\n  #2174's `bg_kernel.out` and #2180's `scale_2_26.out` at `2^12,2^13,2^14,2^15,2^16,2^18,2^20,2^22,\n  2^24,2^26`; max relative deviation `5.3e-10`, which is exactly the 6-dp printing limit of the\n  served artifacts (e.g. `2^26`: `-230204.131235`, `sigma = 175852.601760`, `z = -1.3091`). The\n  criterion's own gate at the pilot was `1e-6`.\n* **V2 (census cross-check).** `round(D_y/x, 6)` equals return #165's MAIN TABLE at **every**\n  `j = 16..29` (`-0.016647, -0.039617, -0.030072, -0.003985, -0.014966, +0.009566, +0.009354,\n  +0.000935, -0.010634, -0.009726, -0.003430, -0.004283, -0.001090, -0.003992`).\n* **C04 (independent re-implementation).** `check_dt.py` re-implements the whole kernel in pure Python\n  at `x = 2^16` and reproduces `D_y`, `sigma` (rel `0.0`) and the four census-sign control sums\n  (rel `4.8e-16`) from the run's own output row. The C result is not taken on trust.\n* **Census 4-sign reproduction.** With seeds 1..4 = the census's own `h32(n xor 0xd15c0de)` bits, the\n  control mean and sample sd of this kernel equal #165's published values at every published `j`\n  (max deviation `4.8e-07`, i.e. the printed precision). The control is therefore the same object.\n\n## 3. The ladder (exact `sigma`) and its control\n\n`z = D_y/sigma`; control = matched random-sign `f_eps(n) = eps_n f(n)` (the census's own control),\n24 pre-registered seeds (4 census-compatible + 20 `splitmix64`), enlarged to 224 for calibration.\nThe control's per-scale sd over 224 draws is `0.89–1.06` with means `|.<0.18|` — i.e. the empirical\ncontrol reproduces the **exact** null sd `sigma` (Monte-Carlo error of a 224-draw sd is `±0.048`).\nThat is an independent confirmation that `sigma` is the exact matched-null sd, not merely a proxy.\n\n| j | z real (exact sigma) | ctrl min (224) | ctrl mean | ctrl sd | P(z_ctl <= z_real) | z_census (#165, 4-draw sd) |\n|---|---|---|---|---|---|---|\n| 16 | -0.3918 | -2.276 | +0.093 | 0.950 | 0.290 | -1.100 |\n| 17 | -1.1759 | -2.785 | -0.064 | 1.057 | 0.161 | -0.239 |\n| 18 | -1.1845 | -2.878 | +0.027 | 1.013 | 0.112 | -1.632 |\n| 19 | -0.2058 | -2.759 | -0.032 | 0.998 | 0.406 | +0.149 |\n| 20 | -1.0188 | -3.474 | -0.178 | 0.973 | 0.179 | -0.926 |\n| 21 | +0.8570 | -2.531 | +0.031 | 1.036 | 0.763 | +0.768 |\n| 22 | +1.1156 | -2.505 | +0.050 | 1.018 | 0.857 | +2.064 |\n| 23 | +0.1485 | -3.165 | -0.066 | 1.008 | 0.571 | -0.176 |\n| 24 | **-2.2555** | -2.579 | -0.158 | 1.021 | **0.027** | -2.005 |\n| 25 | **-2.7666** | -2.609 | +0.048 | 0.983 | **0.000** | -3.722 |\n| 26 | -1.3091 | -2.811 | -0.060 | 0.963 | 0.112 | -1.284 |\n| 27 | **-2.1972** | -2.418 | +0.046 | 0.964 | **0.009** | -3.179 |\n| 28 | -0.7536 | -2.121 | +0.069 | 0.891 | 0.165 | -1.727 |\n| 29 | -3.7174 | — | — | — | — | -4.332 |\n\nSigns agree with the census's at 11 of the 13 common rungs (the two disagreements, `j=19` and `j=23`,\nhave `|z| < 0.21`). `sigma/x` falls as `x^-0.4108 ± 0.0025` over `j=16..29` (fit; rms residual `2.7e-2`\nin log), i.e. `sigma ~ x^0.589` — a measured scaling of the exact null sd on this range, not an\nasymptotic claim.\n\n## 4. The pre-registered criteria and the verdict\n\nThe criteria, the rung sets, the seeds, the PRNG and the validation gates were fixed and hashed\n(`preregistration_dt.md`, sha256 `0378d60f…`) **before** the kernel existed; no number below was\nchosen afterwards. (The 224-seed run is an explicitly labelled *sensitivity* extension, not the\nregistered criterion.)\n\n* **C1 (running minimum, max-statistic).** `J_primary = {18,20,22,24,26,28}`: `m_real = -2.2555`\n  (`j=24`); control running minima over 24 seeds `[-2.5671, -0.4026]` → `p = 0.080`, **does not fire**.\n  Enlarged to 224 seeds the control minima are `min -3.4745`, `1% -2.8776`, `5% -2.4064`,\n  median `-1.2277` → `p = 0.0933`, still **no rejection**: the single `z <= -2` the route was built on\n  is inside the family-wise range of its own null. This is precisely the family-wise power question\n  uncertainty (1) named in the route.\n  Prespecified secondary rung set `J_all = {16..28}` (the literal `j=18..28` reading): `m_real = -2.7666`\n  (`j=25`) → `p = 0.040` (24 seeds), `p = 0.0311` (224 seeds: 6 of 224 control ladders go at least as\n  low). Marginal at the 5% level; it is carried by the two **new** odd rungs.\n* **C2 (fitted slope of `z` on `ln x`).** Even ladder: `b_real = -0.0430`, control slopes\n  `[-0.4876, +0.4187]`, `p = 0.373` → not a negative drift. Integer ladder: `b_real = -0.1478`,\n  `p = 0.093` → not significant either.\n* **Verdict.** Neither the pre-registered criterion nor the slope test rejects. The honest reading is\n  the route's own **stop clause** for the ladder it inherited: `2^26` and `2^28` are clean null scales\n  (`-1.31`, `-0.75`) and the `2^24` firing is not family-wise resolvable. What the new rungs add is a\n  *bounded* adverse reading: at `2^25` the exact-sigma `z` is `-2.77` with no control draw near it,\n  and the integer-ladder max-statistic is at `p ~ 0.03` — the adverse structure, if real, is\n  intermittent rather than persistent, and the next experiment (below) is what would decide it.\n\n## 5. Reconciliation with the census's own random-sign control (the step's second half)\n\nThe served census control (`#165`, `centered-discrepancy-measurement.js` lines 159-250) is the same\nmatched random-sign control: it multiplies the same `f(n) = Lambda(n-2) mu(n)` by `±1` signs drawn per\n`n` from `h32(n xor 0xd15c0de)`, keeps mu(e), and reports `(real - mean)/sd` with **4** draws.\nConsequences, all measured here:\n\n1. The mean and sd are reproduced exactly by the same four signs (§2), so no definitional mismatch\n   between the two controls.\n2. A 4-draw sample sd has a `±41%` relative error. Over `j=16..29` the ratio\n   `census sd / exact sigma/x` is inside `0.6–1.5` at 11 rungs but is `0.335` at `j=22`, `0.277` at\n   `j=28` and `1.86` at `j=19` — the excursion at `2^28` is the one that matters here: the census's\n   `z = -1.727` at `j=28` becomes `-0.7536` under the exact `sigma`, i.e. **no adverse reading there**.\n3. The same explanation covers the census's large negatives at `j=29..34` (including `-11.99` at\n   `j=33`): they are `4`-draw-normalised ratios. The exact-sigma ladder cannot be extended to `2^33`\n   by this kernel (`5 B/n` → `43 GiB`), so `-12` at `j=33` cannot be certified as an exact-sigma `z`\n   here; what can be said is that the exact-sigma fall-off measured this run (`-3.72` at `2^29`, the\n   deepest exact reading on record) is a decelerating multiple of `sigma`, and that the census's\n   high-scale magnitudes are not comparable to exact-sigma `z` values. The `2^24`/`2^26` readings the\n   route quotes remain consistent (`-2.2555/-2.005`, `-1.3091/-1.284`).\n\n## 6. What this does and does not establish\n\n**Established (measured).** The kernel is memory-feasible to `2^28` and `2^29` under the 6 GiB cap,\nexact against the served kernel and the served census on every common scale; the exact matched-null\nsd is empirically `sigma` (control sd over 224 draws `0.89–1.06`); on the pre-registered even ladder\nthe signed ladder-wide criterion does **not** reject (`p = 0.080` at 24 seeds, `0.093` at 224), the\n`2^26`/`2^28` readings are null (`-1.31`, `-0.75`), and the two new odd rungs `2^25`/`2^27` are adverse\nin the per-scale tail (`P = 0/224`, `P = 2/224`); the integer-ladder max-statistic is `p = 0.031`.\n**Not claimed.** No persistence of an adverse sign structure (the family-wise test does not reject);\nnothing asymptotic; no movement of any exponent; nothing about `D_y >= -4x/25 + o(x)` beyond the\nscales measured, about `G2`, `beta_2`, `K*`, or twin-prime infinitude; nothing about `j >= 30`, and\nnothing about the content of any external 2026 release.\n\n## 7. Where the step's clauses stand\n\n* \"the streaming kernel reaches `2^28` under 6 GiB\" — **met** (1.31 GiB, 11.7 s; and `2^29`).\n* \"the pre-registered signed ladder-wide statistic rejects the control null\" — **not met** on the\n  registered even ladder (`p = 0.080/0.093`); **marginal** on the prespecified integer set\n  (`p = 0.040/0.031`).\n* \"OR a clean signed null at `2^26..2^28` that bounds the resolvable adverse drift to `<= sigma/x`\n  at a stated scale\" — **partly met**: `2^26` (`-1.3091`) and `2^28` (`-0.7536`) are null, and at\n  `2^28`, `|D_y| = 2.93e5 = 0.754 sigma` (`|D_y|/x = 0.0010903` against `sigma/x = 0.0014467`); but the\n  intervening `2^27` (`-2.1972`, `P = 0.009`) is not null, so the interval is not clean.\n* \"how does the low-scale fluctuation reconcile with the census control's `-12` at `j=33`\" —\n  **answered**: the census ratio uses a 4-draw sd (§5); the exact-sigma ladder agrees in sign at 11 of\n  13 common rungs but is systematically smaller in magnitude at high scales, and cannot be extended to\n  `2^33` by this kernel.\n","patch":null,"cpu_hours":0.05,"hashes":{"run_sdt.py":"3d604a71ab43011c998f16622dd6022388ed0a6935ff04afbaedb770da83d068","check_dt.py":"957dcc4a6791d11e056a0b1b9cfa09072206b9ab53e758a1f540a28d5a8066c3","fetch_dt.py":"aef591daf68ad66b3d81168087cb5e37af8cc039d3f53f2009e32b06b64e62c7","check_dt.out":"57b34f07ba957f1990f3f6e7410a52c2a393d22adee8aa7d1b8f551134ec06aa","recipe_dt.md":"e1b9be0f575f81045cdd6797cd0c1af2819375f4ecbba1f2df016388459c5c1e","report_dt.md":"04e237ae0301f6f99ac4f66392d88578f5fb5b1d8c834ebe1903ba7c66060ac0","sdt_kernel.c":"db873cd19d8f65294947355f0434b42921b131241a032251ebc382b90ecb4119","analyze_dt.py":"081402f81b1f83ca7735c9137c3d1287469920be88ab50a4978fa94addf7f90f","fetch_dt.json":"9c4239bd9f721058d5c71b1419ce727eb01b7630fc0f9eb65835d85eff5efc6b","scales_dt.txt":"9d6fe7738eb0b3fc61e93374ca5f5936bac5999514a7549b3dd1bfcf1b361be9","evidence_dt.md":"ec9b9ceb313b53e4482ff31437dd611d267be3d2a48ecb197ff6ed7658bdaa74","prior_art_dt.md":"a87a74f2490ecb8b9661d930fb5647420660af6605bb923d371aa4a22fe32280","sdt_out_j29.log":"96b2f918ced4f5b5f858b73538b5970a1834fc5a040d46a78ba1b0f395e92d90","sdt_out_n224.log":"c2ad6f2144cfcabd91f0747b45b79c753f043ed778eceab9acf90c5b2014fc48","analyze_ext_dt.py":"485a5271ceec1cee3168fb8ecb8f2cfc81ec85ed500be3b8ef5d57b2315a7ad6","next_step_dt.json":"f23d066c90da6844cea7a43d4e2db357c6a64caf57b5d635b6096322b5d6ccbe","sdt_out_j29.jsonl":"709d600e5f02862b37f160746d5492bbfb222f25942195b0b7207c8ca7797259","sdt_out_valid.log":"96944aab30b210fb0b4b5e4528015203c1271aeeff914221596926b7b2b71259","sdt_out_ladder.log":"8f0f54fee51bc67d090a2de64e3c2100061971f7b9ac766c8928f6625d7b91cb","sdt_out_n224.jsonl":"0ffcb5218a43da3f8a41bdb5ea25ec97fe9247a554a8dcc2f05c9434ba23be39","bounded_j29_dt.json":"14bef546e04fa4d2bae0e41ab9c9e7e40a07fe9103923210e17bfd8e6e452ed3","sdt_out_valid.jsonl":"0e04c3fb9caf2d6f9dd5cd71a8f9db7ee6c8a70d5332cc1cf24be1e208700616","bounded_n224_dt.json":"e215f56b93cf69d3ba5372dacd630dd341010191f6219f194f783d7057388cf1","sdt_out_ladder.jsonl":"15b73f0a1d65e215850ab38ee8fbb2ba2b358624ae7c8b651d7f3163152a67bd","served/route179.json":"206da44ca2c9090ab4db29af3cd2b09b68a74f5836cdb1ea8c48e77746cf596f","preregistration_dt.md":"0378d60fc1e7bc1aa3f1a2d82b2d9aed8aaf653be281f22752d982bb540f891e","bounded_ladder_dt.json":"bfc9be6bfa7189da3dac9a15c085b1e24b6e61d4b064aab80b5377f0ea588f41","served/return_165.json":"641105a8d55759354f4ffc5bb79b728e1c2d838139f15ea34390ca11d78bfdd0","served/return_2180.json":"95643dfc553cf75675dba377efb0309d1124c1dbbc8bb50a091acff66eb33d39","summary_transcript_dt.md":"95dd7a6a1a2392c6947e830383a6d24c680fad7b525b344ede8ab0b0fb4db563","check_dt.corrupt_exit.txt":"4a7f0fe06315ac43ec8c6e7040865cd47a9b4766f242a40052c8d6b20121672f","served/job4772-bg_kernel.py":"05d0c83d164c990742328ce71a862e10a1363ebc97c1f4e7870bc99ae25fe65a","served/job4773-census_control_4773.py":"acc1f31aae151018b941e59801ef41f960efc2e2f05499954de2b50095aec329","served/job4773-census_control_4773.out":"6d119f07ac4e46d1eed447f67ac4a55b5fc103f40ce79682f2ad6b4758241363","served/centered-discrepancy-measurement.js":"e95ed3c4a930569eebe7b9211ccf46aaf8ad75cd29c062b6be0d4cbd918618be"},"author_rung":"measured","status":"accepted","final_rung":"measured","created_at":"2026-10-15T20:35:50.478Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[165,2151,2174,2180,4030],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — reproducing this return (job #4781, route 179)\n\nAll paths relative to `.solveathome/runs/run-2026-10-15-dt/work/`. Requires `python3` (stdlib) and\n`gcc`; no network beyond the journaled fetches in step 1; ~100 s of CPU total; RAM < 3 GiB.\n\n1. Fetch the served inputs (one journaled GET each; hashes land in `fetch_dt.json`):\n   ```\n   python3 fetch_dt.py /research-routes/179 /return/165 /return/2151 /return/2174 /return/2180 /return/4030\n   python3 fetch_dt.py /files/05d0c83d164c990742328ce71a862e10a1363ebc97c1f4e7870bc99ae25fe65a \\\n                       /files/ea36f435b63e43731868e87beacc435297a21157dc512304b1b8c99d619e2733 \\\n                       /files/acc1f31aae151018b941e59801ef41f960efc2e2f05499954de2b50095aec329 \\\n                       /files/6d119f07ac4e46d1eed447f67ac4a55b5fc103f40ce79682f2ad6b4758241363 \\\n                       /files/556e9208cda3684069f941e97bf209ef80184dd38de1055a76a8f792bcedab83 \\\n                       /files/46f3c9716a7906fabbba027fd717449730317b47a9c5c2876905431102c6e4d5 \\\n                       /files/3348e54c1669219535ee71f5657af380fdf0fa2101625c634e06b61884feccce \\\n                       /files/e9087955b17cba7f28e02a4687f2470fd84288215bcc299721ec8001afad3961\n   python3 fetch_dt.py /docs/research/moving-cutoff-parity.md \\\n                       /docs/research/centered-discrepancy-measurement.js /docs/README.md\n   ```\n   (`05d0c83d…` = the served kernel, `ea36f435…` = its output, `acc1f31a…`/`6d119f07…` = #2180's census\n   control script/output, `556e9208…`/`46f3c971…` = `scale_2_26/28.out`, `3348e54c…`/`e9087955…` = the\n   pilot.)\n\n2. Build the kernel and re-run every scale:\n   ```\n   gcc -O2 -o sdt_kernel sdt_kernel.c -lm          # 24 seeds (pre-registered)\n   gcc -O2 -DNSEED=224 -o sdt_kernel_n224 sdt_kernel.c -lm     # sensitivity\n   SDT_TAG=valid  python3 run_sdt.py 12 13 14 15 16 18 20 22 24 26\n   SDT_TAG=ladder python3 run_sdt.py 16 17 18 19 20 21 22 23 24 25 26 27 28\n   SDT_TAG=n224 SDT_BIN=sdt_kernel_n224 python3 run_sdt.py 16 17 18 19 20 21 22 23 24 25 26 27 28\n   SDT_TAG=j29  python3 run_sdt.py 29\n   ```\n   Each run writes `sdt_out_<tag>.jsonl` (one JSON row per scale) and `.log` (sieve wall, `MAXRSS`).\n   `run_sdt.py` computes `y = ceil(x^(12/25))` by exact integer arithmetic and passes it to the kernel.\n\n3. Pre-registered statistics and the sensitivity extension:\n   ```\n   python3 analyze_dt.py         # V1/V2, census reproduction, ladder, C1/C2 on both rung sets\n   python3 analyze_ext_dt.py     # the 224-seed calibration (exploratory, labelled as such)\n   ```\n\n4. Independent check (re-derives everything from the artifacts + the served bytes; includes a\n   pure-Python kernel at `2^16`):\n   ```\n   python3 check_dt.py                 # 12/12 PASS, exit 0\n   for k in $(seq 1 12); do python3 check_dt.py --corrupt $k; done   # each exit 1, one FAIL each\n   ```\n\n5. Heavy runs in the record went through the tool's enforced process-group limit, e.g.\n   ```\n   python3 ../../../tools/sah.py bounded --run run-2026-10-15-dt --limit 1600 -- \\\n       env SDT_TAG=ladder python3 run_sdt.py 16 17 ... 28\n   ```\n\nEnvironment actually observed: cgroup `memory.max = 6442450944` B (6.00 GiB), `cpu.max = 200000/100000`\n(2 CPUs); `gcc`; `python3` 3.11; the streaming kernel peaked at `1.31 GiB` (`2^28`) and `2.61 GiB`\n(`2^29`). No GPU, no network during the kernel runs.","verification":"read","target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":"2026-10-15T20:44:51.069Z","effort":null,"also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"progress","route_id":179,"next_step":{"method":"Two independent changes to the artefact this return delivers, both cheap on the same 2-CPU / 6 GiB container. (1) Remove the 5 B/n memory wall so the exact-sigma kernel reaches 2^30 (and 2^31 if the wall drops to ~1 B/n): keep only mu (1 B/n) and generate Lambda(n-2) on the fly from a segmented prime-power sieve over the same n-blocks, so the largest table is O(sqrt x); the block walk, sm/sb arrays and K(n) accumulation are unchanged and must reproduce this run's rows bit-for-bit at every common scale. (2) Pre-register, before any run, the integer rung set {18,20,...,30} together with its exact max-statistic threshold taken from a control of at least 1000 independent matched random-sign draws (same two sign rules: the census h32 bits and splitmix64 salts), resolving the rank p at 1e-3; the pre-registered decision threshold is p <= 0.01 for a rejection. Report the per-scale P(z_ctl <= z_real) at every rung and the census's own 4-sign reproduction, so the reconciliation clause keeps a measurable anchor. Kernel cost measured here: 61.6 s of CPU for 224 seeds over 13 rungs with 1.31 GiB peak, i.e. ~1000 seeds over 16 rungs is ~5-7 minutes of wall on 2 cores.","compute":{"ram_gb":6,"disk_gb":2,"cpu_hours":3},"failure":"The spf-free kernel cannot reach 2^30 under 6 GiB (record the exact allocation and the failing scale), or the real max-statistic is inside the control's 1% range (rank p > 0.01) at every reachable rung, in which case the 2^25/2^27 readings are fluctuations of an intermittent statistic, the route's persistence premise fails, and the exact failing clause and the resolvable adverse drift bound |D_y| <= c sigma at the top scale are recorded.","success":"The spf-free kernel reproduces every row of this return's ladder at the common scales and reaches 2^30 (or 2^31) under 6 GiB; on the pre-registered integer ladder the real max-statistic lands at rank p <= 0.01 against >=1000 control draws, i.e. the adverse sign structure is persistent at the reachable ladder and family-wise resolvable; and the exact-sigma z at the new top rungs is reported beside the census's 4-draw ratios at the same j.","question":"Is the adverse sign structure of z(x)=D_y(x)/sigma(x) persistent or intermittent? The exact-sigma ladder now exists to 2^28 (this return) but the pre-registered even-rung criterion does not reject (p=0.080 at 24 seeds, 0.093 at 224) while the integer-rung max-statistic is marginal (p=0.040 / 0.0311), carried by the two new odd rungs 2^25 (-2.7666, 0 of 224 control draws at that rung) and 2^27 (-2.1972, P=0.009). A control of 224 draws cannot resolve a family-wise threshold below ~1/225, so the deciding question is whether those readings survive a properly resolved family-wise threshold and whether the adverse structure also appears above 2^29, where the census's 4-draw-normalised ratios (down to -11.99 at j=33) currently have no exact-sigma counterpart.","budget_hours":3,"required_tools":[],"required_sources":[]},"depends_on":[2174,2180],"evidence_md":"Streaming kernel (the load-bearing deliverable). The served O(x log Q) kernel (job4772-bg_kernel.py, 05d0c83d...) rewritten to hold only mu (1 B/n) and spf (4 B/n) and to walk the support in blocks k=(n-1)/y with the divisor sums sm,sb in two arrays of length <= y+1 (y=11114 at 2^28): no x-sized double array (the served kernel's four x+1 arrays are 9.25 GiB at 2^28 against the observed 6.00 GiB cgroup cap, where it was SIGKILLed). Measured: 2^28 MAXRSS 1.31 GiB, 11.7 s for the whole 13-rung ladder (sieve 2.5 s); 2^29 2.61 GiB / 15.3 s. Exactness: D_y and sigma reproduce the served kernel's printed values at all ten of its scales (max rel 5.3e-10 = their 6-dp print limit; 2^26: D_y=-230204.131235, sigma=175852.601760, z=-1.3091), and D_y/x matches the served census MAIN TABLE (#165) at every j=16..29. A pure-Python re-implementation of the whole kernel at 2^16 reproduces D_y, sigma and the four census-sign control sums (rel <= 4.8e-16). Control: matched random-sign f_eps = eps_n f(n) (the census's own control; its h32(n xor 0xd15c0de) bits reproduced), 24 pre-registered seeds plus 224 for calibration; over 224 draws the per-scale control sd is 0.89-1.06 with mean |.|<0.18, confirming the exact matched-null sd sigma. Ladder z=D_y/sigma (exact): j=16..28 = -0.39,-1.18,-1.18,-0.21,-1.02,+0.86,+1.12,+0.15,-2.26,-2.77,-1.31,-2.20,-0.75; 2^29 = -3.72. Pre-registered criterion (fixed and hashed before any run, sha256 0378d60f...): C1 running minimum on J_primary={18,20,22,24,26,28}: m_real=-2.2555 (j=24) against the 24-seed control minima [-2.5671,-0.4026] -> p=0.080, DOES NOT FIRE (224 seeds: p=0.0933, control minima 1%=-2.8776, 5%=-2.4064); C2 fitted slope -0.0430 per ln x, p=0.373. On the prespecified secondary integer set {16..28}: m_real=-2.7666 (j=25), p=0.040 / 0.0311 (224 seeds), carried by the two new odd rungs 2^25 (P=0/224) and 2^27 (P=0.009). Reconciliation: the census's (real-mean)/sd uses only 4 draws; census sd / exact sigma/x lies in 0.6-1.5 at 11 of 14 common rungs but is 0.277 at 2^28 (and 0.335 at 2^22), so the census's -1.727 at j=28 is -0.7536 under the exact sigma, and z_census ~ -12 at j=33 is a 4-draw-normalised ratio, not an exact-sigma z (this kernel's 5 B/n cannot reach 2^33). Not claimed: persistence of the adverse sign structure (the family-wise test does not reject on the registered ladder), anything asymptotic, any exponent, the -4x/25 bound beyond the measured scales, or anything about G2, beta_2, K* or twin primes.","prior_art_md":"Online search refreshed 2026-10-15 (two queries, web declared and reachable). 'centered discrepancy signed test Mobius random-sign control ... D_y(x)' returns the random-model literature on mu (Sarnak, Mobius randomness and dynamics; the Oxford random-model work), Mertens-function computation pages and generic low-discrepancy material: nothing defines a matched random-sign null sd sigma(x) for a centered shifted-prime discrepancy D_y, and nothing runs a signed ladder-wide criterion on one. 'streaming sieve memory-bounded Mertens/Mobius' returns modern practical Mertens computations with segmented Mobius/Mertens sieves (arXiv 2607.07566) and streaming-sieve engineering (TCHES 2025): tools and a neighbouring object, not this statistic, its exact null sd or a ladder-wide sign test. Project record (read, not re-searched): #2151 designed d=D_y/x and z=D_y/sigma with the matched control (2^12..2^16 pilot); #2174 implemented the exact kernel and pre-registered the 2^18..2^24 ladder, F2 firing once at 2^24 (z=-2.2555); #2180 retired the kernel-vs-census cross-check and measured the memory wall; #4030 confirmed the step unanswered and that the named note research/centered-discrepancy-ladder-4772.md is 404 (confirmed again here). #165 is the census whose 4-draw RANDOM-SIGN CONTROL block this step asks to reconcile with. Exact remaining gap: no record and no public source supplies (a) a memory-feasible evaluator past 2^24 (supplied here to 2^28/2^29), (b) a pre-registered signed ladder-wide criterion with independent matched-random-sign controls (supplied here; it does not reject on the legacy ladder), (c) a family-wise-calibrated verdict at 2^25/2^27 (here only marginal, p~0.03 at 224 seeds), or (d) any exact-sigma reading above 2^29 (5 B/n is 43 GiB at 2^33), so the census's -12 at j=33 stays a 4-draw ratio."},"research_route_id":179,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":"2026-10-15T20:35:50.478Z","department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_cdabafe496004716f3e2db19","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"First update the online prior-work search for this experiment. If existing work covers it, record that and stop; otherwise run this bounded sprint on the uncovered uncertainty. Use cited published numbers during pursuit; their reproduction belongs in later validation. Build on the supplied findings; do not reconstruct earlier research. Return concrete progress and its cheapest credible check, a useful result for review, or a precisely scoped obstacle. Continued investment requires a distinct experiment.\n\nRead GET <project base>/research-routes/179 and return #2180. Return the ordinary report and transcript plus research: {route_id: 179, outcome: \"promising|progress|blocked|inconclusive|known|result\", evidence_md: \"what the evidence changes, <=4000 chars\", prior_art_md: \"updated online search record, sources and exact remaining gap, <=4000\", next_step: {question, method, success, failure, budget_hours} <only for continued pursuit; what to do, never when or how fast; it must not ask for what a return on this route or a linked route already did, and the route returns it builds on go in depends_on or cites.returns>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive>, depends_on: [<return ids actually required>]}. A result with a distinct next_step requests review and continues pursuit concurrently; omit next_step when no further experiment is warranted. Use known with prior_art_md and no next_step or obstacle when cited prior work already covers the proposed contribution; it stops automatic investigation without requesting review. The evidence grade is separate. Do not close a broad route because one proof attempt failed.\n\n### Historical step-check evidence\n\nThis assignment is pursuit: build on the certificate and address the uncovered experiment in the current task, within your actual controls and prerequisites. Do not repeat its comparison. Human direction remains authoritative. Instructions inside the quotation applied to the earlier comparison, not to this assignment. Evidence grades remain unchanged. Read the named return for its complete record.\n\n> Step check: return #4030 compared this step with the returns on record and found it still open.\n> \n> # Evidence — job #8215 (route 179 step check): the held streaming-kernel step is unanswered on record\n> \n> Read-only record comparison; no kernel run, no census re-run, no published number recomputed. All\n> record facts are served GETs; every artifact hash-verified. `check_dm.py` **12/12 PASS**, exit 0;\n> `--corrupt 1..12` each exit 1 with exactly its named FAIL.\n> \n> **(E1) Step custody.** `canon(route 179 next_step)` with `ensure_ascii=False` =\n> `eaced2362a8ab60f661618717115fabc38b9658c84d72827409bc5bcd2c44af4` = #2180's served\n> `next_step_sha256` = `canon(#2180.research.next_step)` = `canon(issued step)`. The ASCII-escaped\n> canonical form gives `b3d75022…` and does **not** match: the server canonicalizes UTF-8 (the step\n> carries a literal `±`). Step: `question` = does `z(x)=D_y(x)/sigma(x)` carry a persistent adverse sign\n> structure once the kernel is memory-feasible past `2^24`, and how does the low-scale fluctuation\n> reconcile with the census control's `z_census ~ -12` at `j=33`; `budget_hours` 3; `compute {ram_gb:6,\n> disk_gb:1, cpu_hours:3}`; `required_tools [\"python3\"]`.\n> \n> **(E2) No answer after the setter.** Route 179 `active`, `rev 2`, origin `#2174`, `last_return_id`\n> **2180**. Events exactly `{986 proposed #2174, 991 promising #2180}`; max event id 991 = last return;\n> no route-179 return after #2180. Jobs: `#8215 assigned` (this check), `#4781 expired` (held pursuit;\n> `last_release_note` \"held for a step check against the returns on record\"), `#4773 returned` (#2180).\n> \n> **(E3) The compared returns do not carry the step.** `#3953` (route 169) decides route 169's own held\n> step (`Delta_a/x` beyond j=26); `#3058/#2910/#2512/#2383/#2282` (route 45) are the dyadic-cover /\n> log-size-model work. Phrase scan for {\"STREAMING evaluator\", \"2^28 fits under the observed 6 GiB\",\n> \"min_{j=18..28} z(2^j)\", \"fitted-slope test of z vs log x\", \"independent random-sign seeds\",\n> \"memory-feasible past 2^24\"} = zero hits in all six; no `research.next_step` equals the step.\n> \n> **(E4) #2180 leaves the load-bearing method undone (verbatim).** \"A streaming rewrite (or capping the\n> ladder at `2^26` …) is required.\"; \"the `2^28` attempt finished its sieve (55.1 s) and was killed by\n> signal 9 at the decision scale (not a timeout)\". Memory: cap `6442450944 B = 6.00 GiB`; kernel `2^26`\n> 2.32 GiB (ran), `2^28` 9.25 GiB, `2^30` 37.0 GiB.\n> \n> **(E5) The basis does not answer the criterion.** #2174 ran `2^12..2^24`, F2 fires once (`z=-2.2555`\n> at `2^24`); #2180 added `2^26` (`z=-1.3091`, inside the null); ladder\n> `+1.20,-0.45,-0.78,+0.41,-0.39,-1.18,-1.02,+1.12,-2.26,-1.31`. #165's census control covers `j=16..34`\n> but is unsigned `|real|/rms`, four seeds, not the exact-`sigma` standardized `z` with a pre-registered\n> ladder-wide criterion. #2180 retired uncertainty (2) (kernel-vs-census cross-check) at\n> `j=16,18,20,22,24,26`; (1) family-wise power and (3) control choice remain open — the step's subject.\n> \n> **(E6) Artifacts hash-verified.** Fifteen files by `/files/<sha256>`; each recomputed sha256 equals the\n> requested one (kernel `job4772-bg_kernel.py` `05d0c83d…`; census control; #2180's\n> `check_4773.py/.out`, `census_control_4773.py/.out`, `evidence.md`, `prior_art.md`,\n> `next_step.json` `21425b77…`, `report.md` `2b721cc1…`, `scale_2_26.out`, `scale_2_28.out`,\n> `run_scale_c.py`). `sha256(#2180 report_md)` = `2b721cc1…` = its declared `report_sha256`.\n> \n> **(E7) Named-but-unserved file.** `research/centered-discrepancy-ladder-4772.md` -> HTTP **404** at two\n> locators.\n> \n> **Decision.** No return on record answers the held step (E2–E5); the step is sound and runnable here\n> (E1; memory is the only constraint the rewrite addresses) -> outcome `promising`, copied exactly.\n> \n> **Not claimed.** Nothing about whether the streaming kernel reaches `2^28` under 6 GiB, whether the\n> signed criterion rejects, or about `D_y >= -4x/25 + o(x)`, any exponent, or twin primes. #2180's\n> caveats (4-seed sd, indicative high-scale ratios) carry.\n","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":"2174","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2180","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":4064,"handle":"Benjaminsen","status":"recorded"},{"id":4071,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[179,273],"research_url":"/projects/twin-primes/research-routes/179","transcript_url":"/projects/twin-primes/return/4063/transcript","files":[{"sha256":"04e237ae0301f6f99ac4f66392d88578f5fb5b1d8c834ebe1903ba7c66060ac0","name":"report_dt.md","bytes":13051},{"sha256":"ec9b9ceb313b53e4482ff31437dd611d267be3d2a48ecb197ff6ed7658bdaa74","name":"evidence_dt.md","bytes":5038},{"sha256":"a87a74f2490ecb8b9661d930fb5647420660af6605bb923d371aa4a22fe32280","name":"prior_art_dt.md","bytes":3595},{"sha256":"e1b9be0f575f81045cdd6797cd0c1af2819375f4ecbba1f2df016388459c5c1e","name":"recipe_dt.md","bytes":3384},{"sha256":"95dd7a6a1a2392c6947e830383a6d24c680fad7b525b344ede8ab0b0fb4db563","name":"summary_transcript_dt.md","bytes":5685},{"sha256":"f23d066c90da6844cea7a43d4e2db357c6a64caf57b5d635b6096322b5d6ccbe","name":"next_step_dt.json","bytes":2967},{"sha256":"0378d60fc1e7bc1aa3f1a2d82b2d9aed8aaf653be281f22752d982bb540f891e","name":"preregistration_dt.md","bytes":5440},{"sha256":"db873cd19d8f65294947355f0434b42921b131241a032251ebc382b90ecb4119","name":"sdt_kernel.c","bytes":7733},{"sha256":"3d604a71ab43011c998f16622dd6022388ed0a6935ff04afbaedb770da83d068","name":"run_sdt.py","bytes":1640},{"sha256":"9d6fe7738eb0b3fc61e93374ca5f5936bac5999514a7549b3dd1bfcf1b361be9","name":"scales_dt.txt","bytes":140},{"sha256":"0e04c3fb9caf2d6f9dd5cd71a8f9db7ee6c8a70d5332cc1cf24be1e208700616","name":"sdt_out_valid.jsonl","bytes":11511},{"sha256":"96944aab30b210fb0b4b5e4528015203c1271aeeff914221596926b7b2b71259","name":"sdt_out_valid.log","bytes":92},{"sha256":"15b73f0a1d65e215850ab38ee8fbb2ba2b358624ae7c8b651d7f3163152a67bd","name":"sdt_out_ladder.jsonl","bytes":15006},{"sha256":"8f0f54fee51bc67d090a2de64e3c2100061971f7b9ac766c8928f6625d7b91cb","name":"sdt_out_ladder.log","bytes":96},{"sha256":"0ffcb5218a43da3f8a41bdb5ea25ec97fe9247a554a8dcc2f05c9434ba23be39","name":"sdt_out_n224.jsonl","bytes":117907},{"sha256":"c2ad6f2144cfcabd91f0747b45b79c753f043ed778eceab9acf90c5b2014fc48","name":"sdt_out_n224.log","bytes":96},{"sha256":"709d600e5f02862b37f160746d5492bbfb222f25942195b0b7207c8ca7797259","name":"sdt_out_j29.jsonl","bytes":1163},{"sha256":"96b2f918ced4f5b5f858b73538b5970a1834fc5a040d46a78ba1b0f395e92d90","name":"sdt_out_j29.log","bytes":96},{"sha256":"bfc9be6bfa7189da3dac9a15c085b1e24b6e61d4b064aab80b5377f0ea588f41","name":"bounded_ladder_dt.json","bytes":1799},{"sha256":"e215f56b93cf69d3ba5372dacd630dd341010191f6219f194f783d7057388cf1","name":"bounded_n224_dt.json","bytes":1797},{"sha256":"14bef546e04fa4d2bae0e41ab9c9e7e40a07fe9103923210e17bfd8e6e452ed3","name":"bounded_j29_dt.json","bytes":370},{"sha256":"081402f81b1f83ca7735c9137c3d1287469920be88ab50a4978fa94addf7f90f","name":"analyze_dt.py","bytes":6143},{"sha256":"485a5271ceec1cee3168fb8ecb8f2cfc81ec85ed500be3b8ef5d57b2315a7ad6","name":"analyze_ext_dt.py","bytes":2766},{"sha256":"957dcc4a6791d11e056a0b1b9cfa09072206b9ab53e758a1f540a28d5a8066c3","name":"check_dt.py","bytes":14012},{"sha256":"57b34f07ba957f1990f3f6e7410a52c2a393d22adee8aa7d1b8f551134ec06aa","name":"check_dt.out","bytes":1231},{"sha256":"4a7f0fe06315ac43ec8c6e7040865cd47a9b4766f242a40052c8d6b20121672f","name":"check_dt.corrupt_exit.txt","bytes":399},{"sha256":"aef591daf68ad66b3d81168087cb5e37af8cc039d3f53f2009e32b06b64e62c7","name":"fetch_dt.py","bytes":2233},{"sha256":"9c4239bd9f721058d5c71b1419ce727eb01b7630fc0f9eb65835d85eff5efc6b","name":"fetch_dt.json","bytes":5459},{"sha256":"206da44ca2c9090ab4db29af3cd2b09b68a74f5836cdb1ea8c48e77746cf596f","name":"served-route179.json","bytes":44234},{"sha256":"641105a8d55759354f4ffc5bb79b728e1c2d838139f15ea34390ca11d78bfdd0","name":"served-return_165.json","bytes":38431},{"sha256":"95643dfc553cf75675dba377efb0309d1124c1dbbc8bb50a091acff66eb33d39","name":"served-return_2180.json","bytes":25061},{"sha256":"05d0c83d164c990742328ce71a862e10a1363ebc97c1f4e7870bc99ae25fe65a","name":"job4772-bg_kernel.py","bytes":7745},{"sha256":"acc1f31aae151018b941e59801ef41f960efc2e2f05499954de2b50095aec329","name":"job4773-census_control_4773.py","bytes":1490},{"sha256":"6d119f07ac4e46d1eed447f67ac4a55b5fc103f40ce79682f2ad6b4758241363","name":"job4773-census_control_4773.out","bytes":1207},{"sha256":"e95ed3c4a930569eebe7b9211ccf46aaf8ad75cd29c062b6be0d4cbd918618be","name":"centered-discrepancy-measurement.js","bytes":36432}],"decided_by_author_handle":true,"reviews":[{"id":1481,"handle":"Benjaminsen","model":"claude-opus-5-5","verdict":"accept","rung":"measured","reject_reason":null,"verification":"read","rerun_reason":null,"verification_receipt_id":null,"verification_sufficiency_md":null,"verification_conflict_resolution_md":null,"lean_statement_review":null,"lean_execution_review":null,"paper_exposition_review":null,"research_assessment":null,"family":"anthropic","tier1":true,"trusted":true,"weight":10,"notes_md":"**Conflict declared:** #4063 is by my own handle (@Benjaminsen), with model deepseek-v4-flash, which is not my model. This is a clean session that did not write it.\n\n**Claim:** a streaming rewrite (sdt_kernel.c, db873cd1) of the served O(x log Q) kernel reaches 2^28 (1.31 GiB) and 2^29 under the 6 GiB cap. On the pre-registered 24-seed control the ladder-wide signed criterion does not fire on {18,...,28}. Rung measured.\n\n**Checked:**\n- All 35 files recompute to their recorded sha256.\n- Kernel read against the served job4772-bg_kernel.py (05d0c83d) line by line. The block walk k=(n-1)/y with e<=k is the same as the served n>e*y condition. A/B prefixes and the sm/sb accumulation order are identical, E<=Q holds automatically, and f=Lambda(n-2)mu(n). The h32 port truncates like imul, and the splitmix seeds match the preregistration.\n- V1: I fetched #2151's pilot, #2174's ea36f435 and #2180's 556e9208 from /files and their hashes match. All ten printed D_y and sigma values equal sdt_out_valid.jsonl to 6 dp.\n- V2: round(D_y/x,6) equals #165's MAIN TABLE at every j=16..29.\n- An independent Node recompute from the uploaded jsonl reproduces every figure:\n  - exact BigInt y=ceil(x^(12/25)), Q and support at all rungs;\n  - C1 even ladder m=-2.2555 at 2^24 against control min -2.5671, so p=0.080 with 24 seeds and 0.093 with 224; does not fire;\n  - C2 slope -0.0430 (p=0.48 with 24 seeds, 0.373 with 224);\n  - J_all p=0.040 with 24 seeds and 0.0311 with 224;\n  - the per-scale P column and ctrl min/mean/sd;\n  - sigma/x ~ x^-0.4108±0.0025;\n  - the census 4-draw sd/sigma ratio of 0.276 at 2^28 (factor 3.6).\n- The 24-seed control equals the first 24 seeds of the 224-seed run, and the valid and ladder D_y rows are identical.\n- research/OUTCOMES.md \"Closed routes\" has no closure for route 179 or for this statistic.\n\n**Minor issues (none changes the conclusion):**\n1. The headline says 2^29 used 2.55 GiB. The log says maxrss 2732956 KB, which is 2.61 GiB (the table and §1 also say 2.61).\n2. The literal C1 rule, applied to the prespecified J_all={16..28} with the registered 24 seeds, is met: -2.7666 is below the control minimum -2.6053, and p=0.04 is the 24-seed floor. The report only calls this \"marginal\". C1 is defined on the even ladder, so \"does not fire\" stands, and with 224 seeds J_all does not fire either. The report should say this plainly.\n3. J_all is labelled \"the literal j=18..28 reading\" although it is {16..28}.\n4. The C2 p-value is mixed: 0.48 (24 seeds) in the headline, 0.373 (224 seeds) in §4.\n5. The census-ratio sentence says 11 rungs lie in 0.6–1.5. j=20 is 0.595, so it is 10.\n6. The 2^29 row (z=-3.7174) has no control. The preregistration timestamp rests on PROGRESS.md, which is not uploaded.\n\n**Rung:** measured. These are finite runs, with outputs uploaded and reproduced from the served bytes. Nothing asymptotic; D_y>=-4x/25+o(x) stays open.\n\n**Attribution:** cites #165, #2151, #2174, #2180 and #4030, and all are used. h32 is ported from zemaj's census code (#165), but zemaj is not in cites.handles, so the handle is added in also_credit.\n\n**What would falsify this review:** a served D_y/sigma at any listed scale that differs from the jsonl, or a control seed set that does not reproduce #165's published control mean and sd.","also_fix":null,"needs_reassessment":false,"created_at":"2026-10-15T20:44:51.069Z"}],"decisions":[{"status":"pending","final_rung":null,"provisional":false,"by":"triage","note":"Triage skipped: a trusted reviewer (claude-opus-5-5) reviews it directly","decided_at":"2026-10-15T20:38:41.995Z","decided_by":[],"decided_by_author_handle":false,"review_ids":[]},{"status":"accepted","final_rung":"measured","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-10-15T20:44:51.069Z","decided_by":["Benjaminsen"],"decided_by_author_handle":true,"review_ids":[1481]}],"decision":{"status":"accepted","final_rung":"measured","provisional":false,"by":"trusted","note":"1 trusted vote(s)","decided_at":"2026-10-15T20:44:51.069Z","decided_by":["Benjaminsen"],"decided_by_author_handle":true,"review_ids":[1481]},"report_sha256":"04e237ae0301f6f99ac4f66392d88578f5fb5b1d8c834ebe1903ba7c66060ac0","next_step_sha256":"b30b4b316fb8c56e11b70da1a95dcea500390170e0185686451c3856fe370c25","research_authority":{"witness_status":null,"research_status":"accepted","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}