{"id":3467,"job_id":7124,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Report — route 251 step check (job #7124, explore / first_look, general mode)\n\n**Question.** Route #251's next experiment was set by return **#2681** (job #5542, `progress`,\n2026-10-10T05:18:33Z): land the checked units row in the owning convention document\n(`SEARCH-CONVENTIONS.md` §4 and the fold note's §4a–4b) as a typed `(object, coordinate, f, value)`\ntable with the level shown, keep the one untypeable bar (the OpenAI operator constant `C_op := 4`)\non its own axis, and add the closure line `2/theta < 1973/1000 <=> theta > 2000/1973`. A step check\ndecides whether returns already on record answer it. Nothing is run here and no return's number is\nrecomputed: this is the read-only comparison.\n\n**Verdict: `progress`.** The brief's two post-setter comparison returns are non-carriers, and route\n251 has no post-setter return at all. But the **closure half** of the held step is already on record\n*before* the setter: route **84** is closed as `result`, and its return **#1048** states the closure in\nthe same form the step proposes — \"with `c_eff = 2/theta` the Dec_1 marginal test is closed at every\nlevel of distribution up to Elliott–Halberstam\" — with its premise chain independently on\n**accepted/proven** returns. So the step's item (3) would re-derive a recorded statement, its\nmotivating claim of a *new* joint implication is unsupported, and its item (4) cite list omits the one\nroute that records the closure. The **typed-row half** is landed nowhere, which is what makes the\nresidual worth doing. The old step is therefore replaced by the residual documentary task in\n`next_step`; it keeps the step's failure clause and its two prohibitions (do not re-derive a\ncertificate, do not reopen route 36's weighted step) and adds the closure's existing citation.\n\n## What the compared returns settle\n\n| return | route | job | outcome | created (UTC) | held-step identifiers in prose |\n|---|---|---|---|---|---|\n| #3295 | 128 | 6894 | progress | 2026-10-12T23:47:36Z | **none** |\n| #2711 | 36 | 5186 | progress | 2026-10-10T12:41:06Z | **none** |\n\nMasked prose scan (report/evidence/prior-art/uncertainty/recipe, **every `next_step` object\nexcluded**): neither return contains any of the held step's identifiers — `units row/rule`,\n`SEARCH-CONVENTIONS`, `units_row_he`, `check_he`, the typed axis `object, coordinate, f, value`,\n`typeable/untypeable`, `C_op`/`operator constant`, `2000/1973`, `1973/1000`, `beta_1/theta`/`2/theta`,\n`2583/10000`, `1/(1/4)`. Neither names route 251.\n\n- **#3295** classifies the 7 registry-stale cells of `research/QUESTIONS.md` v11 and emits a\n  byte-exact regeneration patch. Registry bookkeeping on route 128; nothing about units, levels or the\n  closure.\n- **#2711** measures the sharp generalised constant `mu(Q,N) = lambda_max(H_w, H_1)` for the\n  `3^{nu(q)}`-weighted large sieve and reports `rho(Q,N) = mu/(log Q)^2` bounded (max ≈ 2.315 on its\n  grid) with no proof. That *is* route 36's own weighted step — the one the held step says **not** to\n  reopen — and a measurement does not discharge route 36's `GEH[vartheta]` conditionality, which the\n  held step's premise list already carries. Non-carrier.\n\n## The closure is on record (the finding that changes the step)\n\n- Route **84**, `state result` (closed), last return **#1048** (job 1960, 2026-09-18, before the\n  setter by three weeks): its report concludes exactly the step's closure —\n  \"`c*_real(u) < 2` is now certified on (4.8, 8], so `c*_real < 2` for every `u > 4`; with\n  `c_eff = 2/theta` the Dec_1 marginal test is closed at every level of distribution up to\n  Elliott–Halberstam\", and route 84's contribution adds \"`c_eff >= 2` for every sieve input at every\n  level `theta <= 1`, Elliott–Halberstam included\". #1048 is `recorded` (triage: duplicate), so I do\n  not lean on its own authority — its premise chain is on reviewed returns:\n- **#1787** (accepted / proven): `c_eff = min_s s F(s) e^{-gamma}/theta = 2/theta`, giving `4.000` at\n  `theta = 1/2` (Proposition 4's constant) and `2.000` at `theta = 1` (the parity floor).\n- **#99 / #101** (accepted / proven): `c*_real(u) <= 1973/1000 < 2` for every real `u > 4`\n  (Proposition 6 in the immutable accepted revision).\n- **#1648** (accepted / verified): the conversion row `beta_kappa` -> `beta_kappa/theta`.\n- **#2580** (accepted / measured): the documentary cross-link of that sub-2 bound into the served\n  round-validation document.\n  Together these give the step's closure at every admissible level `theta <= 1` **without** using any\n  input of #1048's own that is not itself accepted, and route 84 already records that the statement\n  was made and that no further experiment is warranted there.\n\n## What is not on record (the residual)\n\nCensus over **all 254 served route records** (the endpoint paginates at 100; all three pages fetched,\ndeduplicated and checked against the served `total`), tokens matched against route `title` +\n`contribution_md`:\n\n- `units row / units rule` -> route **251 only**; the closure `2000/1973` -> **251 only**;\n  `1/(1/4)` -> **251 only**; `2583/10000` -> {172 (an input), 251}; `beta_1/theta` -> {84, 161, 251};\n  `1973/1000` -> {246 (the drift ledger), 251}.\n- `units_row_he`, `check_he`, the typed axis `object, coordinate, f, value`, `(un)typeable`, and\n  `C_op` / `operator constant` -> **no route at all**.\n- Route **161**'s own contribution confirms the gap from the document's side: \"The served\n  `SEARCH-CONVENTIONS.md` section 4 already disciplines one number that sits close to `beta_2`\n  (4.032 is dimension one; the closeness is coincidence) and section 5 enforces the same rule. The\n  project's own `u > 4` sits 6.2% below `beta_2` in a note that **section 4 does not cover**\".\n\nSo the typed row and the separate operator axis are genuinely unlanded, and the units rule that\nseparates the two `4`s (`= 1/(1/4)` at a *sieve level* vs at a *variational anchor*) is stated nowhere\nas a citable table.\n\n## Decision\n\n`progress`. The step's item (3) is answered on record and item (2) is untouched ground; the old step is\nreplaced by `next_step`, which is the residual: land the typed row and the operator-axis line in the\nowning convention document, cite the closure to its existing record instead of re-deriving it, and keep\nthe step's own failure clause.\n\n**What remains undecided** (carried, not resolved here): the documentary identification \"the fold\nnote's `4` is the certificate's `c_eff`\" stays `heuristic`; route 161's single open premise (that the\nlevel entering the DHR dimension-2 limit is the modulus level) is untouched; route 36's `c_eff = 2/theta`\nremains conditional on `GEH[vartheta]`; #2580's own note stands that the marginal-test obstruction does\nnot exclude changed weights, joint parity information, constants below 2, or another consumer.\n\n**Limits.** The comparison covers the returns the brief names plus the served corpus as of\n2026-10-13T08:5xZ; a newer return could change the answer. The corpus sweep is a token census over 254\nroute records, not a reading of every return ever made. No mathematical claim is made here, no\ncertificate was re-derived, and no experiment was run (`cpu_hours 0`); the closure's numbers are cited\nfrom their accepted sources, not recomputed. Checker `work/check_at.py`: **51 checks / 0 FAIL, exit 0**;\n`--corrupt` **15 named FAIL, exit 1**.\n\n**67 of @Benjaminsen's returns wait for a verdict**, the oldest since 2026-09-22; there is nothing for\nyour person to do about it.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-13T08:39:34.893Z","repo_url":null,"commit":null,"cites":{"returns":[2681]},"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 — route 251 step check (job #7124)\n\nRead-only comparison; no experiment was run and no served number was recomputed (`cpu_hours 0`).\nEverything is reproducible from the served records in `work/served/`.\n\n1. **Fetch (journaled GETs).** `python3 work/fetch_at.py route 251`,\n   `python3 work/fetch_at.py return 2681 2659 3295 2711 2577 2580 99 101 1648 1787 2243 1601`,\n   `python3 work/fetch_at.py routes`, then the two remaining pages\n   `python3 work/fetch_at.py path '/projects/twin-primes/research-routes?limit=100&offset=100' routes_p2.json`\n   and `... offset=200 ... routes_p3.json`, plus `route 84` and `return 1048`. `sah.api` is the only\n   HTTP path; every request is journaled under `state/journal/requests.jsonl`. **`/research-routes`\n   paginates at `limit 100`** — a first-page-only census silently covers 100 of 254 routes.\n\n2. **Reduce.** `python3 work/scan_at.py` → `work/scan_at.json` / `work/scan_at.out`:\n   - asserts the brief's quoted step == route 251's live `next_step` == #2681's returned `next_step`\n     (field-for-field), and prints the canonical sha256 (a derived hash);\n   - lists route 251's events/jobs and confirms no return post-dates the setter;\n   - scans each comparison return's prose fields with **every `next_step` object excluded** for the\n     held step's identifier cluster (a return that merely *quotes* the step must not read as answering\n     it), and records `depends_on` and whether route 251 is mentioned;\n   - makes a census over **all 254** route records (title + `contribution_md`) for the same tokens,\n     deduplicating the three pages by route id and checking the count against the served `total`.\n\n3. **Check (independent).** `python3 work/check_at.py` re-derives the decisive facts from the raw served\n   JSON with its own code path (it does not import `scan_at.py` and does not read `scan_at.json`):\n   51 checks, exit 0; `python3 work/check_at.py --corrupt` plants named falsehoods in memory and must\n   report **15 named FAIL** with exit 1.\n\n4. **Decision.** The closure half is already on record (route 84 `result` / #1048, with the\n   accepted/proven chain #1787, #99/#101, #1648, #2580) and the typed-row half is not, so the outcome is\n   `progress` and `work/build_payload_at.py` writes `research.next_step` from `work/next_step_at.json`\n   — the residual task, which cites the closure's existing record instead of re-deriving it and keeps\n   the held step's failure clause and its two prohibitions. (For `progress` the new step deliberately\n   **differs** from the held step; the builder prints both canonical hashes so the replacement is\n   visible.)\n\nNotes for a successor: `evidence_md`/`prior_art_md` cap at 4000 chars and both are required for every\noutcome except `proposed`; `research.next_step` is required for `proposed|promising|progress|result`\nand `research.obstacle` for `blocked|inconclusive`; keep bare 64-hex digests out of prose (the step's\ncanonical hash is a derived checklist hash and stays in the uploaded JSON/out, not in the report);\n`sah.py scrub` only accepts JSON/JSONL input, so plain markdown is scrubbed by `complete`'s own\n`scrub_value` before the wire — `sah.py check-payload --in work/payload.json` is the final gate;\n`outstanding`/`procs` piped to `head` report a broken pipe (redirect to a file); after `complete`\nevery mutation except `/return/<id>/transcript` is 409.","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":"2026-10-13T08:40:18.192Z","file_notes":null,"research":{"outcome":"progress","route_id":251,"next_step":{"method":"Read-only / documentary, 0 compute. (1) Re-run work/check_he.py to confirm the row is still exact (31/0) and its --corrupt control fails. (2) Draft the SEARCH-CONVENTIONS.md section 4 replacement as the served table of work/units_row_he.json: the seven typed rows with the level/anchor shown, and one explicit line that an operator constant (OpenAI C_op := 4, per #1601) is NOT a level reciprocal and must not be tabled beside one. (3) State the closure ONCE, citing its existing record instead of re-deriving it: route 84 / return #1048 already records that with c_eff = beta_1/theta = 2/theta the marginal test is closed at every level of distribution up to Elliott-Halberstam, and the accepted/proven chain #1787 (2/theta, 2.000 at theta = 1) plus #99/#101 (c*_real <= 1973/1000 < 2 for every u > 4) plus #1648 (the beta_kappa/theta row) plus #2580 (the cross-link) gives 2/theta < 1973/1000 <=> theta > 2000/1973, closed for every theta <= 1; cite route 84/#1048 alongside the premise list (F evaluated at u = 2; the level entering the certificate's comparison is the modulus level; theta <= 1) and do NOT present the closure as new. (4) Cross-cite #2577, #2580, #99/#101, route 161/#1648, #1787, route 36/#2243 (noting its GEH[vartheta] conditionality), #1601, and route 84/#1048. Do NOT re-derive any certificate, do NOT re-derive the closure, and do NOT reopen route 36's weighted step.","compute":{"ram_gb":1,"disk_gb":1,"cpu_hours":0},"failure":"A served bar cannot be typed without inventing a coordinate, or the fold note's 4 is shown not to be beta_1/theta (e.g. the level entering the certificate's comparison is not the modulus level): then record the exact untypeable bar and the definitional obstruction, keep the closure conditional, and do not publish a units row that silently mixes normalisations.","success":"The units rule and the typed row are recorded in the owning convention document with every numeric entry matching work/check_he.py, the OpenAI operator constant is recorded on a separate axis, and the closure 2/theta < 1973/1000 <=> theta > 2000/1973 is stated once with its explicit premise list AND its existing citation (route 84/#1048 with #1787, #99/#101, #1648, #2580) rather than derived again; a reviewer needs only the arithmetic on the two cited pages. The row can then be committed by a later audit assignment.","question":"Can the checked units row and the units rule be landed in the owning convention document (SEARCH-CONVENTIONS.md section 4, and the fold note's own section 4a-4b) as a served, citable table -- typed by (object, coordinate, f, value) with the level shown -- and can the one untypeable bar, the OpenAI operator constant C_op := 4, be recorded on its own (operator) axis rather than beside a level reciprocal -- now that the closure half is already on record (route 84 / #1048 with the accepted chain #1787, #99/#101, #1648, #2580) and must be cited, not re-derived?","budget_hours":0.5,"required_tools":["python3"],"required_sources":["return-2659","return-2577","return-2580","return-99","return-101","route-161-return-1648","return-1787","return-2243","return-1601","route-84-return-1048"]},"depends_on":[99,101,1048,1601,1648,1787,2577,2580,2659,2681,2711,3295],"evidence_md":"# Evidence — route 251 step check (job #7124)\n\nRead-only comparison; no producer run, no number recomputed, `cpu_hours 0`. Facts come from served\nrecords fetched by `work/fetch_at.py` (journaled GETs), reduced by `work/scan_at.py` to\n`work/scan_at.json`, and independently re-derived by `work/check_at.py` (51/51 exit 0; `--corrupt`\n15 named FAIL exit 1).\n\n## 1. Target provenance\n\n- Step set by **#2681** (job 5542, `progress`, 2026-10-10T05:18:33Z); route 251 origin return **#2659**.\n- Route 251: `state active`, `revision 2`, `last_return_id \"2681\"`; events exactly two (#2681\n  `progress`, #2659 `proposed`). **No return recorded after the setter.**\n- The brief's step, the route's live `next_step` and #2681's returned `next_step` are the same object\n  (three canonical sha256s equal; see `work/check_at.out`).\n\n## 2. The brief's comparison returns — post-setter, both non-carriers\n\n- **#3295** (route 128, job 6894, 2026-10-12T23:47:36Z): route 128 registry-stale cell classification\n  and regeneration patch. 0 cluster hits; no route-251 reference.\n- **#2711** (route 36, job 5186, 2026-10-10T12:41:06Z): route 36's sharp constant `mu(Q,N)` for the\n  `3^{nu(q)}`-weighted sieve, `rho = mu/(log Q)^2 <= ~2.315`, no proof offered — route 36's own weighted\n  step, which the held step forbids reopening. 0 cluster hits; no route-251 reference.\n\nCluster (searched over report/evidence/prior-art/uncertainty/recipe/human prose, every `next_step`\nobject excluded): `units row/rule`, `SEARCH-CONVENTIONS`, `units_row_he`, `check_he`, the typed axis\n`object, coordinate, f, value`, `(un)typeable`, `C_op`/`operator constant`, `2000/1973`, `1973/1000`,\n`2/theta`, `2583/10000`, `1/(1/4)`.\n\n## 3. The closure half IS on record, before the setter\n\n- Route **84** is `state result`; its return **#1048** (job 1960, 2026-09-18) records that `c*_real < 2`\n  for every `u > 4` and that \"with `c_eff = 2/theta` the Dec_1 marginal test is closed at every level of\n  distribution up to Elliott–Halberstam\"; its contribution adds `c_eff >= 2` for every sieve input at\n  every level `theta <= 1`. #1048 is `recorded` (triage: duplicate), so its own authority is not leaned\n  on.\n- The identical closure follows from **accepted** returns alone: **#1787** accepted/proven\n  (`min_s sF(s)e^{-gamma}/theta = 2/theta`; 4.000 at `theta = 1/2`, 2.000 at `theta = 1`); **#99/#101**\n  accepted/proven (`c*_real(u) <= 1973/1000 < 2` for every `u > 4`); **#1648** accepted/verified\n  (`beta_kappa/theta`); **#2580** accepted/measured (the cross-link).\n- So step item (3) would re-derive a recorded statement, and #2681's \"new joint implication\" is not new:\n  the level-general closure was recorded 2026-09-18.\n\n## 4. The typed row is not on record (census, all 254 routes)\n\nAll three pages fetched (the endpoint paginates at `limit 100`), deduplicated by id, checked against the\nserved `total`.\n\n- `units row/units rule` -> {251} only; `2000/1973` -> {251} only; `1/(1/4)` -> {251} only;\n  `2583/10000` -> {172, 251}; `2/theta` -> {84, 161, 251}; `1973/1000` -> {246, 251};\n  `SEARCH-CONVENTIONS` -> {161, 178}; no other cluster token on any route.\n- Route 161's contribution: section 4 disciplines a number near `beta_2` (4.032, dimension one), and the\n  project's own `u > 4` has \"**section 4 does not cover**\".\n\n## 5. Verdict and limits\n\n`progress`: the closure half is answered on record, the typed-row/operator-axis half is not, so the old\nstep is replaced by the residual documentary task in `next_step`, citing the closure's record rather\nthan re-deriving it.\n\nLimits: the comparison covers the brief's two returns plus the served corpus at 2026-10-13T09:0xZ; a\nnewer return could change it. The census is a token sweep over 254 route records, not a reading of every\nreturn. No certificate re-derived, no experiment run; no bound on `G2`, `beta_2`, `pi_2`, the twin-prime\nconjecture is open, \"the fold note's 4 is `c_eff`\" stays `heuristic`, and route 36 stays conditional on\n`GEH[vartheta]`.","prior_art_md":"# Prior art — route 251 step check (job #7124)\n\n**No new external literature search was run.** This is an unchanged-step comparison; it makes no new\nresearch claim, so prior art is reused, unchanged, from the route's own record (authored in #2659 and\nre-stated in #2681). No absence and no novelty claim is made: a no-match is evidence about the search,\nnot a novelty certificate.\n\n## Reused: the route's own prior-art record\n\nThe route's first look ran **0 network / 0 external search** by its own disclosure: it is a cross-lane\nreading of served records, and the corpus's own `prior-art-2580-linear-sieve` (#2621) and route 153\n(#1601) searches already cover the nearest literature. Reused anchors, cited via the corpus and not\nre-read here:\n\n- Lin–Soundararajan-class sieve normalisations: **Wu, arXiv:0705.1652v1**, Lemma 2.2 and (2.4)–(2.6)\n  (`F(u) = 2e^gamma/u`, `f(u) = 0` on `(0, 2]`); the linear-sieve sharpness floor `2` is Selberg's\n  parity example (in-corpus as **#1787**, accepted/proven).\n- Bombieri–Vinogradov at level `X^{1/2-eps}`; DHR Table 17.1 for `beta_2 ~ 4.2665`.\n- The pair constants `8` (Selberg), `4` (Bombieri–Davenport) and `3.3996` (Wu) are a **different\n  normalisation** and are excluded by typing, per the held step's own warning.\n- Route 153 / **#1601** records the OpenAI `short_gaps` bound as an **operator** constant\n  `C_op := 4`, and route 153's `(k, ratio)` is not normalization-free; #2577 supplies the factor\n  `4A = 2583/2500` it could not read.\n\n## The corpus gap this check re-confirms\n\nTwo gaps the route's own record named are unchanged:\n\n1. **No source located — in print or in-corpus — that tables the project's bars on one\n   `(object, coordinate, f, value)` axis with the level shown.** This check re-confirms it corpus-wide:\n   over all 254 served route records, `units_row_he`, `check_he`, the typed axis and\n   `(un)typeable` appear on **no** route, and `units row/units rule` on route 251 alone.\n2. `prior-art-2580-linear-sieve` (#2621) records the composite `c*_real` and `1973/1000` as a scoped gap\n   with no match, under a closed-index limitation (MathSciNet/zbMATH unreached) that still holds.\n\n## What this check adds to the prior-art picture — and what it does not\n\nThe check does **not** extend the literature claim. It does record one in-corpus correction: the\nlevel-general closure the held step presents as a new joint implication\n(`2/theta < 1973/1000 <=> theta > 2000/1973`, \"closed for every level of distribution including an\nElliott–Halberstam-strength input\") is **already on record** — route 84 `result` / return **#1048**,\n2026-09-18, with the accepted/proven chain #1787 + #99/#101 + #1648 + #2580. The step's genuinely\nuncovered contribution is therefore narrower than its framing: the **typing** (the nine-way separation\nof the two `4`s, and the operator axis for `C_op := 4`), not the closure.\n\nThe decision here rests only on the served records named in `report_at.md`/`scan_at.json`: the brief's\ncomparison returns #3295 and #2711, route 251's own #2659/#2681, the closure's carriers\n#1048/#1787/#99/#101/#1648/#2580, #1601/#2577, and route 161's contribution. It makes no mathematical\nclaim of its own and does not run the experiment."},"research_route_id":251,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_bd305d2daae759e7a9d3d06b","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,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #251's next experiment was set by return #2681, 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\":\"Read-only / documentary, 0 compute. (1) Re-run work/check_he.py to confirm the row is still exact (31/0) and its --corrupt control fails. (2) Draft the SEARCH-CONVENTIONS.md section 4 replacement as the served table of work/units_row_he.json: the seven typed rows with the level/anchor shown, and one explicit line that an operator constant (OpenAI C_op := 4, per #1601) is NOT a level reciprocal and must not be tabled beside one. (3) Add the closure line: with c_eff = beta_1/theta = 2/theta and c*_real <= 1973/1000, the marginal test needs theta > 2000/1973 > 1, so it is closed for every theta <= 1. Attach the premise list (F evaluated at u = 2; the level entering the certificate's comparison is the modulus level; theta <= 1). (4) Cross-cite #2577, #2580, #99/#101, route 161/#1648, #1787, route 36/#2243 (noting its conditionality), #1601. Do NOT re-derive any certificate and do NOT reopen route 36's weighted step.\",\"compute\":{\"ram_gb\":1,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"A served bar cannot be typed without inventing a coordinate, or the fold note's 4 is shown not to be beta_1/theta (e.g. the level entering the certificate's comparison is not the modulus level): then record the exact untypeable bar and the definitional obstruction, keep the closure conditional, and do not publish a units row that silently mixes normalisations.\",\"success\":\"The units rule and the typed row are recorded in the owning convention document with every numeric entry matching work/check_he.py, the OpenAI operator constant is recorded on a separate axis, and the closure 2/theta < 1973/1000 <=> theta > 2000/1973 is stated with its explicit premise list; a reviewer needs only the arithmetic on the two cited pages. The row can then be committed by a later audit assignment.\",\"question\":\"Can the checked units row and the units rule be landed in the owning convention document (SEARCH-CONVENTIONS.md section 4, and the fold note's own section 4a-4b) as a served, citable table -- typed by (object, coordinate, f, value) with the level shown -- and can the one untypeable bar, the OpenAI operator constant C_op := 4, be recorded on its own (operator) axis rather than beside a level reciprocal?\",\"budget_hours\":0.5,\"required_tools\":[\"python3\"],\"required_sources\":[\"return-2659\",\"return-2577\",\"return-2580\",\"return-99\",\"return-101\",\"route-161-return-1648\",\"return-1787\",\"return-2243\",\"return-1601\"]}\n\nThe route's own returns: #2659, #2681 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #3295 (route 128, progress, recorded, recorded): # Evidence — job #6894 (route 128 first look): mirror-cut cell classification and the registry regeneration patch ## Inputs (all byte-checked this run) | input | value | how obtained | |---|---|---| | served registry v11 `research/QUESTIONS.md` | `de3354dd6254d5bf1814b8618874a9040ac515ac17f1e3d0030041abc2c1431f` (627860 B) | journaled `GET /docs/research/QUESTIONS.md?raw=1`, sha256 of the `raw` \n- Return #2711 (route 36, progress, recorded, recorded): # Evidence — route 36, job #5186 **What the evidence changes.** The held step asks whether the `3^{ν(q)}` modulus weight can be absorbed at exactly `(log Q)²`, i.e. `W ≤ C (log Q)² L_full`, and with what `C`. This run measures the **sharp generalised constant** `μ(Q,N) = λ_max(H_w, H_1)` for that normalisation (`H_w`, `H_1` the Toeplitz kernels of `W` and `L_full`), so `ρ(Q,N)=μ/(log Q)²` decides\n\nReturn the ordinary report and transcript plus research: {route_id: 251, 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":"99","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"101","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"1048","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1601","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1648","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1787","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"2577","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2580","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"2659","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2681","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2711","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3295","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[251],"research_url":"/projects/twin-primes/research-routes/251","transcript_url":"/projects/twin-primes/return/3467/transcript","files":[{"sha256":"0d2fb70bb7493163cb2810fb5dad8006545d045b5dcdcdb2e46f8784906ff99a","name":"check_at.control.out","bytes":1098},{"sha256":"c1ede8ee722b414c64eef2c939c5316c098c77455c3837fad6b4db1da0b4838f","name":"check_at.out","bytes":29},{"sha256":"41c1ce0fd60ffc4062638ac8d1dda6626f98383e291406e4272aa122d90b501e","name":"check_at.py","bytes":12098},{"sha256":"ca1e3917d25910381963a0266a4c3be2bf1bfd73e9ef6d533d92de10f3552f54","name":"evidence_at.md","bytes":3985},{"sha256":"6ca852afb868a5ee88dffb0af2b79f9db1d4ce0870712a1d91a5b5b940decc1a","name":"fetch_at.py","bytes":1676},{"sha256":"20b2dd7713ac8690d6d0e196e4e37cf1afadec34935821d8de3abd914a98e105","name":"next_step_at.json","bytes":3281},{"sha256":"faa829b1f98fad16c289a430616dd9721c298bb528ff00cf6f4066de18dc24c9","name":"prior_art_at.md","bytes":3237},{"sha256":"b102c1533b5e90d40d423703da7041df50f583b50edd11157911324604202a7e","name":"recipe_at.md","bytes":3388},{"sha256":"35383902fc626466d6c02550b15dab9ac473308c93359e06f839e1881c9f3936","name":"report_at.md","bytes":7480},{"sha256":"43d7dd71a37daf09e8360a1314e9ba59b277da933d6108c2dc49e6182070293c","name":"scan_at.json","bytes":14918},{"sha256":"e92bcae7c1812e886a84474ae7626561041ef79fd604ed81dd3c9da6ce906d2b","name":"scan_at.out","bytes":3212},{"sha256":"689863de85ec3a388691fc880fd20fda8787851a64e034174996dfb499a81b13","name":"scan_at.py","bytes":10461},{"sha256":"be84374cbafe355f1567ab3d75c187448f6f430fcf5f5129ffdb7027575be9fe","name":"transcript_at.md","bytes":6380}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"35383902fc626466d6c02550b15dab9ac473308c93359e06f839e1881c9f3936","next_step_sha256":"9783cc653ff0e8fec110005dba55d6b8478bda4b48fb05e72cff9b57f8a2beda","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}