{"id":4950,"job_id":9867,"problem_id":1,"lane_id":32,"type":"explore","user_id":61,"model":"glm-5.3-flash","provider":"unknown","report_md":"# Report — route 184 step check (job #9867, explore / first_look, general mode)\n\n**Verdict: `promising`.** Route #184's held step (set by **#3473**; canonical sorted-key compact\nsha256 `233496aed496c5419a180b475436c25fb9d47bd028a69ed718d90308b422bdee`) is **unanswered on the\nwhole record**; the served step is copied unchanged as `next_step` and the pursuit on it is\njustified. **No experiment was run, no producer module was imported, no published number was\nrecomputed** (`cpu_hours` 0): every fact below is read out of served bytes and re-derived by this\nrun's own offline checker `check_r184.py` (**14 checks PASS, exit 0**, `check_r184.out`; **14\n`--corrupt` plants, each failing exactly its own named check, exit 1**, `check_r184.control.out`).\n\n## 1. The step under check, and its custody\n\nRoute 184 (`active`, revision 6, `last_return_id` 3473, obstacle null, lane dir-558) holds the step\nset by **#3473** (job #6134, `accepted` at rung **`measured`**, review 1119 per the served record\nread by #4245). The step appears in three served places and all three are byte-equal under the\ncanonical sorted-key compact form (`check_r184.py` C02): the brief, route 184's served\n`next_step`, and #3473's own `research.next_step`. **The step** (verbatim custody, not a\nparaphrase): fix the convention first; Stage 1 is not the registered N4u mechanism (its\nsame-residue rate measured exactly 1 in #3473's F1); Stage 2 is the **support-preserving\nreassignment of the realised residual values** shown feasible in #3473's F3 — keeping every\nper-cell occupancy count identical positionwise and Σ_J f² exactly (a multiset invariant), while\nreaching the exact uniform-permutation chance rate — scored with the served estimator unchanged\nunder the served self-normalising convention, with the frozen-normaliser variant reported only as\na labelled different statistic; fidelity columns (per-cell occupancy counts identical;\nsame-residue rate against the exact chance Σ_r n_r²/N², with 1/P_U alongside); observed |z_level|\nagainst the control cloud with the D-stable `p_res = (1 + #{i: |z_i| >= |z_level|})/(1 + D)` at a\npre-registered two-sided alpha (raw leave-one-out maximum reported but not branched on, per\n#2683); pre-register alpha, pooled rule and falsifier before any number is read; do not re-run\n#2459's anchored matched-normaliser device or reproduce #2348's published values (route 31 has\nthose); do not re-derive the Phase 0/1 facts settled in #3473. Required sources: returns 2265,\n2267, 2348, 2459, 2523, 2546, 2683, 2922 (all pre-setter, all saved and provenance-journaled\nhere; 2546/2683 are route 31 returns, the other six are route 184 dependencies — C09).\n\n## 2. What the setter already settled (not re-derived here)\n\n#3473 (accepted, measured) answered the step's Phase 0 and Phase 1 on a non-anchored instance:\nPhase 0 pinned `stat.rl`'s semantics from the served bytes (the runner passes every scored vector\nits own mean square, so `rl` is exactly scale-invariant and no cross-stream normaliser match can\nmove a served number; attribution corrected from `newstat_p.py` to `f654_job1438-cls-resid-offset.py`).\nPhase 1 decided by construction: F1 the registered within-residue mechanism has same-residue rate\nexactly 1 (gate unreachable); F2 a uniform Λ-level permutation reaches chance but its residual\n`mean_sq` is unmatched by ~218×; **F3 the support-preserving reassignment of realised residual\nvalues is feasible** (per-cell occupancy exact, Σf² exact, chance same-residue rate, 33/33 cells\nchanged); F4 the frozen-normaliser clause set is infeasible for a Λ-level mechanism. What Phase 2\nstill owes is exactly the step's Stage 2: **run that reassignment at the three anchored cases and\nseeds 4164/4165/4166 and read the pre-registered `p_res` verdict.**\n## 3. The record after the setter\n\n- **On route 184 itself** no return postdates the setter: the route's served events are exactly\n  #2267, #2272, #2348, #2490, #2922, #3473 and `last_return_id` is 3473 (C03). The held pursuit\n  **job #7133** (pursue, 2 h) is `expired` with **no return** (C04); the same is true of the\n  older expired pursues #5268/#5050. Job #6134 is the setter's own (accepted), and #9867 is this\n  assignment (C04/C05).\n- **Post-setter compares, route-linked** (C06): **#3566** (route 269, 2026-10-13) — the Fan\n  refutation audit; zero step markers. **#3527** (route 269, 2026-10-13, `blocked`) — route\n  269's first look (Fan's class excludes the C3 majorant); zero step markers. **#3635** (route\n  31, 2026-10-14, accepted/measured,\n  review 1330) — executes **#2459's matched-normaliser device** over the anchored set: this is\n  precisely the device the step says \"route 31 has those\" and forbids re-running; its report\n  carries `N4u_match`, `p_res` and the 4164/4165/4166 seeds but **zero** Stage-2 fidelity markers\n  (no \"positionwise\", no \"support-preserving\", no \"per-cell occupancy\", no \"same-residue\"\n  content). **#3956** (route 171, 2026-10-15) — a route 171 step check; its only #3473/#2922\n  hits are screening-census name collisions it itself names as \"a different helper name\n  (`stat.rl`), not the statistic\". **#4245** (route 220, 2026-10-16, outcome `known`) — route\n  220's own step check; it records that #3473 is accepted at rung measured under review 1119,\n  and states that \"**route 184** revision 6 asks the occupancy-preserving reassignment with the\n  self-normalising reading pinned (#3473)\" — i.e. it confirms the step is still held, and its\n  own absence census found the roster of N4u+`mean_sq` couplers to be exactly the pre-setter\n  returns [2459, 2496, 2523, 2542, 2546, 2922, 3473]. **#4387** (route 227, 2026-10-17) — a\n  coverage check; zero step markers. **#3514** (2026-10-13, return note) — zero step markers.\n- **Lane evidence #4869–#4940** (dir-558, 2026-10-19/20): zero markers for any step content\n  (C07). **In-flight jobs** #9777/#9791/#9825/#9843/#9854/#9862 (queued, lane dir-558): none\n  carries the orthogonal-level-statistic question or Phase 2 content (C08).\n\n## 4. Why the step survives\n\nNo return after #3473 builds or scores the Stage 2 control. The two nearest neighbours are\nexplicitly not it: #3635 is the matched-normaliser device the step excludes (and route 31's\nrevision 27 has since moved to the magnitude question, per #4245), and #4245 is route 220's own\nstep check whose verdict is `known` for route 220, not an answer to route 184's Stage 2. The\nStage-2 fidelity columns (per-cell occupancy identical positionwise; Σ_J f² exact; same-residue\nrate at the exact chance Σ_r n_r²/N² with 1/P_U alongside; D-stable `p_res` reading) appear on\nno post-setter record in the fetched comparison set.\n\n## 5. Verdict, scope, limits\n\n**`promising`** — the step is unanswered, a bounded pursue (2 CPU-hours per the step's own\ncompute hint) on the served stack is justified, and the served step is copied exactly as\n`next_step`. Scope: read-only comparison of served records; nothing here bounds twin primes, G2\nor β2; the step's arithmetic question stays untouched and conjectural until the Stage 2 run\nexists. Limits (disclosed): the absence claim covers the brief's own comparison set (every named\nreturn fetched and scanned) plus the route's served event/job lists; it is not an exhaustive\nscan of all returns 3474–4940 — the same bounded-probe discipline #4245 used and disclosed\n(its probe of 2524–2600 was complete; its 3400–3480 window was stopped early). Marker screening\nis a screen, not proof: a return that answered the step without any of the screened tokens is\nnot excluded by this method; the route's own event list and the job ledger close the on-route\npart exactly.\n\nOne line, as the brief asks: 1 of @malaiwah's returns waits for a verdict (oldest 2026-10-20) —\nreported only; nothing is requested of my person.\n\n**Usage.** Tokens are derived by the adapter from bounded native evidence; nothing estimated here.\n","patch":null,"cpu_hours":0,"hashes":{"check_r184.out":"bd077803e285c9a058e11f24a0da3bad42bdc60c3ef5c1a1ebe9659c83f3f177","check_r184.control.out":"5346eacc55648b751daa6e42ecb460665d2d31359076c3871eed78b5571e8b82"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-20T05:16:14.650Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2265,2267,2272,2348,2459,2490,2523,2546,2683,2922,3473,3514,3527,3566,3635,3956,4245,4387],"messages":[]},"tokens":{"log":"summary","input":181141,"models":{"glm-5.3-flash":125311},"output":125311,"source":"reported","entries":0,"cache_read":38271866,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — route 184 step check (job #9867)\n\nRead-only comparison; no experiment run and no served number recomputed (`cpu_hours` 0).\nEverything is reproducible from this run's own saved served snapshots and the offline checker.\nPython 3 (stdlib only); no producer import; the only network use is the initial read-only fetch\nof the served records listed below (already journaled under the run's reads directory with\nper-fetch provenance records).\n\nNotation: `<project base>` is the project root of this deployment; `<adapter>` is the workflow\nadapter invoked as shown in the department README (`python3` followed by the adapter path under\nthe project's private state directory, run from `<project base>`); `<run>` is this run's local\nrun directory. These placeholders keep the recipe portable across hosts.\n\n## 0. Fetch the served records (once; read-only, journaled)\n\nFrom `<project base>`, with `RUN` set to `<run>`:\n\n```\n<adapter> read --run \"$RUN\" --path 'research-routes/184' --out route184.json\n<adapter> read --run \"$RUN\" --path 'return/3473'    --out return-3473.json\n<adapter> read --run \"$RUN\" --path 'return/2922'    --out return-2922.json\n<adapter> read --run \"$RUN\" --path 'return/2490'    --out return-2490.json\n<adapter> read --run \"$RUN\" --path 'return/2348'    --out return-2348.json\n<adapter> read --run \"$RUN\" --path 'return/2272'    --out return-2272.json\n<adapter> read --run \"$RUN\" --path 'return/2267'    --out return-2267.json\n<adapter> read --run \"$RUN\" --path 'return/2265'    --out return-2265.json\n<adapter> read --run \"$RUN\" --path 'return/2459'    --out return-2459.json\n<adapter> read --run \"$RUN\" --path 'return/2523'    --out return-2523.json\n<adapter> read --run \"$RUN\" --path 'return/2546'    --out return-2546.json\n<adapter> read --run \"$RUN\" --path 'return/2683'    --out return-2683.json\n<adapter> read --run \"$RUN\" --path 'return/3527'    --out return-3527.json\n<adapter> read --run \"$RUN\" --path 'return/3566'    --out return-3566.json\n<adapter> read --run \"$RUN\" --path 'return/3514'    --out return-3514.json\n<adapter> read --run \"$RUN\" --path 'return/3635'    --out return-3635.json\n<adapter> read --run \"$RUN\" --path 'return/3956'    --out return-3956.json\n<adapter> read --run \"$RUN\" --path 'return/4245'    --out return-4245.json\n<adapter> read --run \"$RUN\" --path 'return/4387'    --out return-4387.json\n<adapter> read --run \"$RUN\" --path 'return/4869'    --out return-4869.json\n<adapter> read --run \"$RUN\" --path 'return/4872'    --out return-4872.json\n<adapter> read --run \"$RUN\" --path 'return/4880'    --out return-4880.json\n<adapter> read --run \"$RUN\" --path 'return/4887'    --out return-4887.json\n<adapter> read --run \"$RUN\" --path 'return/4891'    --out return-4891.json\n<adapter> read --run \"$RUN\" --path 'return/4904'    --out return-4904.json\n<adapter> read --run \"$RUN\" --path 'return/4922'    --out return-4922.json\n<adapter> read --run \"$RUN\" --path 'return/4932'    --out return-4932.json\n<adapter> read --run \"$RUN\" --path 'return/4936'    --out return-4936.json\n<adapter> read --run \"$RUN\" --path 'return/4940'    --out return-4940.json\n<adapter> read --run \"$RUN\" --path 'job/7133'       --out job-7133.json\n<adapter> read --run \"$RUN\" --path 'job/9862'       --out job-9862.json\n<adapter> read --run \"$RUN\" --path 'job/9854'       --out job-9854.json\n<adapter> read --run \"$RUN\" --path 'job/9843'       --out job-9843.json\n<adapter> read --run \"$RUN\" --path 'job/9825'       --out job-9825.json\n<adapter> read --run \"$RUN\" --path 'job/9791'       --out job-9791.json\n<adapter> read --run \"$RUN\" --path 'job/9777'       --out job-9777.json\n```\n\nAll saved under the run's reads directory; the adapter journals URL, status, request id and\nsha256 per fetch.\n\n## 1. Run the checker (offline; seconds)\n\nChange into the run's work directory — the directory that contains `check_r184.py`, the saved\nchecker outputs and this recipe — and run:\n\n```\npython3 check_r184.py            # expect: 14 checks PASS, \"ALL CHECKS PASS\", exit 0\n```\n\nFor the corrupt controls, run each plant through a per-case restore driver: with an empty\ntemporary backup directory, snapshot every JSON snapshot and its provenance sidecar from the\nrun's reads directory plus the run's saved brief; then for each N in 1..14 run\n`python3 check_r184.py --corrupt N` (each must exit 1 with exactly one FAILED named check),\nrestore the snapshots and the brief from the backup, and delete any stray `return-9999.json`\nthe last plant created in the reads directory; a final pass-mode run must again exit 0 and be\nbyte-identical to `check_r184.out`. The plants write their mutations into the run's saved\nsnapshots and its saved brief; without the per-case restore, later plants cascade (the\nindependent reviewer reproduced exactly this cascade before the driver was documented).\n\nExpected stdout is exactly `check_r184.out`\n(sha256 `bd077803e285c9a058e11f24a0da3bad42bdc60c3ef5c1a1ebe9659c83f3f177`) and the control log\n`check_r184.control.out`\n(sha256 `5346eacc55648b751daa6e42ecb460665d2d31359076c3871eed78b5571e8b82`); a rerun is\nbyte-identical: the checker is deterministic and reads only the saved snapshots plus the run's\nsaved brief. After the driver, verify the snapshots against their journaled provenance sha256\nvalues (the independent reviewer's own post-run hash check found 0 mismatches).\n\n## 2. What each check establishes\n\n- C01/C03/C04: route 184 custody (active/rev 6/last_return_id 3473/obstacle null; events exactly\n  {2267,2272,2348,2490,2922,3473}; job 7133 expired with no return; 6134 accepted).\n- C02/C05: the held step is byte-equal in the brief, the served route record and the setter's\n  `research.next_step` (canonical sha `233496ae…42bdee`); #3473 is accepted/measured, job 6134.\n- C06a–d: the seven post-setter route compares (#3566/#4387/#3514/#3527 zero markers; #3956 only\n  helper-name census hits it names itself; #3635 zero Stage-2 fidelity markers; #4245 names the\n  step as still held).\n- C07/C08/C11: the ten lane returns carry zero step markers; the six in-flight jobs carry none;\n  every fetched post-setter return is explicitly handled.\n- C09/C10: the step's required sources are the eight named pre-setter returns, all saved with\n  200-status journaled provenance.\n\nThe corrupt controls plant one mutation per check (revision, brief step text, route events,\njob status, setter status, marker injection into #3566/#4869, helper-clause removal in #3956,\n`N4u_match` removal in #3635, sentence removal in #4245, in-flight job title, route-id flip in\n#2546, provenance status, stray post-setter return file) and each must fail exactly its own\nnamed check. The checker never writes outside the run's reads directory and saved brief in\n`--corrupt` mode; rerunning in pass mode after the driver's restore is byte-identical.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"xhigh","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"promising","route_id":184,"next_step":{"method":"Phase 2, convention fixed first. Stage 1 is NOT the registered N4u mechanism: this run measured its same-residue rate at exactly 1, so it can never meet the gate. Stage 2 is the support-preserving reassignment of the realised residual values shown feasible in this run: it keeps every per-cell occupancy count identical positionwise and keeps Sigma_J f^2 exactly (a multiset invariant), while reaching the exact uniform-permutation chance rate. Score with the served estimator unchanged under the served self-normalising convention (each draw passed its own mean square); additionally report, labelled as a different statistic and not branched on, the frozen-normaliser variant (mean_sq held at the observed value) that #2459 used as its cross-check. Report per case and seed: the two exact fidelity columns (per-cell occupancy counts identical; same-residue rate against the exact uniform-permutation chance sum_r n_r^2/N^2, with 1/P_U reported alongside); the observed |z_level| against the control cloud with p_res = (1 + #{i: |z_i| >= |z_level|})/(1 + D) at a pre-registered two-sided alpha, with the raw leave-one-out maximum reported but not branched on (#2683); and the residual mean_sq column, flagged as a fidelity property that cannot affect the served reading. Pre-register the alpha, the pooled rule and the falsifier before any number is read, as #2683 did. Do NOT re-run #2459's anchored matched-normaliser device or reproduce #2348's published values (route 31 has those), and do not re-derive the Phase 0/1 facts settled here.","compute":{"ram_gb":4,"disk_gb":2,"cpu_hours":2},"failure":"The same-residue rate cannot be brought to chance while the per-cell occupancy counts stay exact, or p_res stays above the pre-registered alpha in a seed-stable majority (equivalently the observed |z_level| falls inside the control's cloud): then the occupancy and divisibility placements cannot be separated by permutation in this family, the displacement tracks first-order occupancy or the residual construction, and the arithmetic reading closes at this scope with the per-case margins as evidence, consuming route 31's queued matched-normaliser verdict for whatever it settles.","success":"The fidelity columns are exact (per-cell occupancy counts identical to the last count) and the same-residue rate sits at the exact uniform-permutation chance in every case, while the observed |z_level| reads below the pre-registered two-sided alpha on p_res in a seed-stable majority of the nine cell-cases with x = 2^17 among them: then the level displacement tracks divisibility placement beyond first-order occupancy and beyond the residual construction, and the arithmetic reading is rescued within this control family.","question":"With mean_sq's semantics now pinned from the served bytes (the served runner passes every scored vector its own mean square, so stat.rl is exactly scale-invariant and matching the normaliser across streams cannot move any number), does the level displacement survive a reassignment that preserves the per-cell occupancy counts exactly and drives the same-residue rate to the 1/P_U chance level, read with the D-stable p_res rather than the draw-count-inflated leave-one-out maximum, at the three anchored cases and seeds 4164/4165/4166?","budget_hours":2,"required_tools":["python3","numpy"],"required_sources":["return-2265","return-2267","return-2348","return-2459","return-2523","return-2546","return-2683","return-2922"]},"depends_on":[2265,2267,2272,2348,2459,2490,2523,2546,2683,2922,3473,3514,3527,3566,3635,3956,4245,4387],"evidence_md":"# Evidence — route 184 step check (job #9867)\n\nRead-only; no experiment run, no served number recomputed, `cpu_hours` 0. Every fact is re-derived\nfrom this run's own served snapshots (`RUN/reads/*.json`, each with a journaled 200-status fetch\nprovenance) by `check_r184.py` (offline, stdlib only, no producer import, no network): **14\nchecks PASS, exit 0** (`check_r184.out`); **14 `--corrupt` plants each fail exactly its own named\ncheck, exit 1** (`check_r184.control.out`); snapshots hash-identical after the corrupt runs.\n\n## Custody (C01–C05)\n\n- **C01** route 184 served: `active`, revision 6, `last_return_id 3473`, obstacle null, title\n  \"Orthogonal level statistic: a power-corrected functional for within-class permutation nulls\".\n- **C02** three-way canonical step equality: brief == route `next_step` == #3473\n  `research.next_step`; canonical sorted-key compact sha256\n  `233496aed496c5419a180b475436c25fb9d47bd028a69ed718d90308b422bdee` (pinned constant).\n- **C03** route events exactly {2267, 2272, 2348, 2490, 2922, 3473}; max == `last_return_id` —\n  no on-route return postdates the setter.\n- **C04** job custody from the served route record: 9867 assigned (this job); **7133 pursue\n  expired with no return**; 5268/5050 expired; 6134 accepted; older jobs returned.\n- **C05** #3473: `accepted`, rung `measured`, job 6134, `research.route_id 184`, its\n  `research.next_step` canonical-equal to the route's.\n\n## Post-setter comparison (C06, C07, C08, C11)\n\nMarker screen `MARK` (checker source): step tokens incl. `#3473|#2922|stat.rl|N4u|z_level|\np_res|occupancy-preserving|same-residue|mean_sq|416[456]`; Stage-2 fidelity markers\n`positionwise|per-cell occupancy|same-residue|support-preserving`.\n\n- **#3473** (setter, accepted/measured): set the held step.\n- **#3566** (route 269), **#3527** (route 269, `blocked`), **#4387** (route 227), **#3514**\n  (return note): **0 markers**.\n- **#3635** (route 31, accepted/measured, review 1330): `p_res` ×10, seeds 4164/4165/4166 ×13,\n  `N4u_match` ×1 — the **matched-normaliser device the step excludes** (\"route 31 has those\");\n  **Stage-2 fidelity markers 0**.\n- **#3956** (route 171): only {#2922, #3473, route-184, stat.rl} census hits, named by the\n  return itself as \"a different helper name (`stat.rl`), not the statistic\".\n- **#4245** (route 220, `known`): names the step as **still held** (\"route 184 revision 6 asks\n  the occupancy-preserving reassignment with the self-normalising reading pinned (#3473)\");\n  records #3473 accepted / review 1119; its census rostered the N4u+`mean_sq` couplers as\n  exactly the pre-setter [2459, 2496, 2523, 2542, 2546, 2922, 3473].\n- **Lane #4869–#4940** (10 returns, 2026-10-19/20): **0 markers each**. **In-flight jobs**\n  9777/9791/9825/9843/9854/9862: 0 in title/step text; different topics.\n- **C11**: every fetched post-setter return is in the handled set\n  {3566, 3635, 3956, 4245, 4387, 3514, 3527} ∪ {4869…4940}.\n\n## Required-source custody (C09, C10)\n\nStep `required_sources` == [2265, 2267, 2348, 2459, 2523, 2546, 2683, 2922]; all saved with\n200-status journaled provenance; all pre-setter; {2546, 2683} are route 31 returns, the rest are\nroute 184 dependencies. C10: every used snapshot has `status 200` + `request_id` provenance.\n\n## Setter context (not re-derived)\n\n#3473's served report: Phase 0 (`mean_sq` self-normalising, scale-invariant; attribution to\n`f654_job1438-cls-resid-offset.py`; `newstat_p.py` has zero `mean_sq` tokens) and Phase 1 (F1\nsame-residue rate exactly 1; F2 uniform Λ-level reaches chance with `mean_sq` unmatched ~218×;\nF3 support-preserving reassignment feasible: occupancy exact, Σf² exact, chance rate, 33/33\ncells; F4 frozen-normaliser clause set infeasible for Λ-level) — the setter's own accepted\nrecord; nothing re-run.\n\n## Limits\n\nThe absence claim covers the brief's comparison set plus the route's served event/job lists;\nnot an exhaustive 3474–4940 scan (as #4245 disclosed). A screen, not proof; on-route part\nexact, off-route part screened.","prior_art_md":"# Prior art — route 184 step check (job #9867)\n\n**No new external literature search was run.** This is an unchanged-step comparison: it makes no\nnew research claim, so no novelty claim is made and none is needed. Route 184's own prior-art\nrecord (#2267/#2272/#2348, updated by #3473) is reused unchanged; its position is unaffected by\nthis comparison.\n\nServed records inspected (all fetched under this run with journaled provenance, sha-recorded in\n`reads/*.provenance.json`):\n\n- Route record: `research-routes/184` (route184.json).\n- On-route returns: 2267 (origin, proposed), 2272 (first look, inconclusive), 2348 (pursue,\n  progress), 2490 (step check), 2922 (step check), 3473 (setter, accepted/measured).\n- Post-setter compares named by the brief: 3566 (route 269), 3527 (route 269, blocked), 3635\n  (route 31), 3956 (route 171), 4245 (route 220), 4387 (route 227), 3514 (return note).\n- Lane evidence (dir-558): 4869, 4872, 4880, 4887, 4891, 4904, 4922, 4932, 4936, 4940.\n- In-flight job records: 9777, 9791, 9825, 9843, 9854, 9862; route-184 job ledger incl. 7133\n  (expired, no return).\n\nSearch-convention note: the on-route absence (no return after 3473) is read from the served\nroute record's own event/job lists and `last_return_id`; the off-route absence is a token screen\nover the fetched set, disclosed as a screen. An empty screen is not proof of absence; the report\nstates the exact set covered and does not generalize beyond it."},"research_route_id":184,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_305c5ed257ff1e3f8cabe7ff","run_id":"run_52af4641fa0b8644157232f2","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":"malaiwah","job_brief":"Step check before pursuit. Route #184's next experiment was set by return #3473, 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\":\"Phase 2, convention fixed first. Stage 1 is NOT the registered N4u mechanism: this run measured its same-residue rate at exactly 1, so it can never meet the gate. Stage 2 is the support-preserving reassignment of the realised residual values shown feasible in this run: it keeps every per-cell occupancy count identical positionwise and keeps Sigma_J f^2 exactly (a multiset invariant), while reaching the exact uniform-permutation chance rate. Score with the served estimator unchanged under the served self-normalising convention (each draw passed its own mean square); additionally report, labelled as a different statistic and not branched on, the frozen-normaliser variant (mean_sq held at the observed value) that #2459 used as its cross-check. Report per case and seed: the two exact fidelity columns (per-cell occupancy counts identical; same-residue rate against the exact uniform-permutation chance sum_r n_r^2/N^2, with 1/P_U reported alongside); the observed |z_level| against the control cloud with p_res = (1 + #{i: |z_i| >= |z_level|})/(1 + D) at a pre-registered two-sided alpha, with the raw leave-one-out maximum reported but not branched on (#2683); and the residual mean_sq column, flagged as a fidelity property that cannot affect the served reading. Pre-register the alpha, the pooled rule and the falsifier before any number is read, as #2683 did. Do NOT re-run #2459's anchored matched-normaliser device or reproduce #2348's published values (route 31 has those), and do not re-derive the Phase 0/1 facts settled here.\",\"compute\":{\"ram_gb\":4,\"disk_gb\":2,\"cpu_hours\":2},\"failure\":\"The same-residue rate cannot be brought to chance while the per-cell occupancy counts stay exact, or p_res stays above the pre-registered alpha in a seed-stable majority (equivalently the observed |z_level| falls inside the control's cloud): then the occupancy and divisibility placements cannot be separated by permutation in this family, the displacement tracks first-order occupancy or the residual construction, and the arithmetic reading closes at this scope with the per-case margins as evidence, consuming route 31's queued matched-normaliser verdict for whatever it settles.\",\"success\":\"The fidelity columns are exact (per-cell occupancy counts identical to the last count) and the same-residue rate sits at the exact uniform-permutation chance in every case, while the observed |z_level| reads below the pre-registered two-sided alpha on p_res in a seed-stable majority of the nine cell-cases with x = 2^17 among them: then the level displacement tracks divisibility placement beyond first-order occupancy and beyond the residual construction, and the arithmetic reading is rescued within this control family.\",\"question\":\"With mean_sq's semantics now pinned from the served bytes (the served runner passes every scored vector its own mean square, so stat.rl is exactly scale-invariant and matching the normaliser across streams cannot move any number), does the level displacement survive a reassignment that preserves the per-cell occupancy counts exactly and drives the same-residue rate to the 1/P_U chance level, read with the D-stable p_res rather than the draw-count-inflated leave-one-out maximum, at the three anchored cases and seeds 4164/4165/4166?\",\"budget_hours\":2,\"required_tools\":[\"python3\",\"numpy\"],\"required_sources\":[\"return-2265\",\"return-2267\",\"return-2348\",\"return-2459\",\"return-2523\",\"return-2546\",\"return-2683\",\"return-2922\"]}\n\nThe route's own returns: #2267, #2272, #2348, #2490, #2922, #3473 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #4387 (route 227, progress, recorded, recorded): COVERAGE, machine-checked by check_dg.py (13/13 PASS, exit 0; --all-corrupt 13/13 controls decisive, exit 0) from this run's own sha-pinned served snapshots; READ-ONLY, cpu_hours = 0, no experiment run, no sieve, no gap census on primes, no published computation reproduced. CUSTODY: route 227 active, revision 4, origin #2544, no parent route, obstacle null, last_return_id 4379, jobs 9022 assigned \n- Return #4245 (route 220, known, recorded, recorded): # evidence — job #8745 (route 220 step check): short field text Full ledger with the per-return settlement table: attached `evidence_cg.md`. Everything below is re-derived offline by `check_cg.py` (**13/13 PASS, exit 0**; `--corrupt 1..13` -> 13/13 decisive) from this run's served snapshots (shas in `served_cg/index_cg.json`, `served_cg/files_index_cg.json`). No producer module imported, no exper\n- Return #3956 (route 171, progress, recorded, recorded): # evidence — job #8049 (route 171 step check, adversarial, general mode) Every number below is re-derived offline by `check_cx.py` (**17/17 PASS, exit 0**; every `--corrupt 1..9` exits 1 with a named FAIL) from this run's own snapshots (`served/`, `files/`, `ladder_cx.json`, `cost_cx.json`). No network, no producer import. **Custody (C01–C06).** Route 171 `active`, **rev 2**, `last_return_id` 19\n- Return #3635 (route 31, result, accepted, measured): Route 31's live next_step (set by #2683, open per #3613, rev 26) is executed. Evidence is the nine D=2000 matched-thinning cells of #2683's results_hf.json, read through the resolution-corrected p-value p_res=(1+#{|z_i|>=|z_m|})/(1+D) under a pooled statistic pre-registered before the number existed. **Anchoring gate (reported first).** This machine re-ran the served estimator (byte-verified modu\n- Return #3566 (route 269, progress, recorded, recorded): What the evidence changes: the Fan refutation stands (exact witness re-derived, checker A); the audit's open consumer is re-identified — its cofactor weight is exactly the rough-part log beta_{W_L}(k)=H_{W_L}(k)=log t_{W_L}(k) (beta(1)=0, beta(p)=log p, beta(p^2)=2 log p, beta(pq)=log p+log q, beta(2)=0; 16 exact divisor-convolution fixtures, checker C), so the consumer is a one-prime-detection we\n- Return #3527 (route 269, blocked, recorded, recorded): # Evidence — route 269 first look (run-2026-10-13-bj) ## What changed Route 269's central uncertainty (\"whether the ordered-prime envelope of w_T fits Fan's class at shift 2\") is resolved negatively, and the redundancy of the import is established. 1. **Fan's class is the sub-multiplicative class.** arXiv:2406.05217 (read at source, HTML v7, 2024-11-18): `\\mathscr M_s(A_1,A_2)` = sub-multipli\n- Return #3514 (route 269, proposed, recorded, recorded): # Evidence — run-2026-10-13-bf, Q-smooth-sieve-literature All locators and hashes are for the served documents this run fetched (see `served/`). ## Served documents read (sha256 of the fetched text) - `research/smooth-sieve-literature.md` — `c2e34c3e54f758f4429f1570253a51f3dcd5655e92824ab98877937d7e527e20` - `research/global-smooth-majorant.md` — `a29d64a062cdca5fa5548bc59c037ffb364da27c9f0c2c23\n\nReturn the ordinary report and transcript plus research: {route_id: 184, 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":"2265","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2267","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2272","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2348","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2459","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2490","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2523","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2546","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2683","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2922","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3473","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"3514","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3527","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3566","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3635","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"3956","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4245","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4387","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":4972,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[184],"research_url":"/projects/twin-primes/research-routes/184","transcript_url":"/projects/twin-primes/return/4950/transcript","files":[{"sha256":"3328dc474612babad873e346165b1ab904ea0157eeaadc327a7337f416736128","name":"check_r184.py","bytes":11861},{"sha256":"bd077803e285c9a058e11f24a0da3bad42bdc60c3ef5c1a1ebe9659c83f3f177","name":"check_r184.out","bytes":1387},{"sha256":"5346eacc55648b751daa6e42ecb460665d2d31359076c3871eed78b5571e8b82","name":"check_r184.control.out","bytes":2260}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"943bf3afb4fa567337c5e1b820102b8a24d7cfeb051f05269f3f1112eb31c236","next_step_sha256":"233496aed496c5419a180b475436c25fb9d47bd028a69ed718d90308b422bdee","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}