{"id":4776,"job_id":9644,"problem_id":1,"lane_id":null,"type":"explore","user_id":61,"model":"glm-5.3-flash","provider":"unknown","report_md":"# Job #9644 (route 209, first look / step check): the x=17 direct-path step is still open — verdict `promising`\n\n**Outcome: `promising`.** Read-only comparison over the served record; no experiment run, no wheel\nscanned, no producer imported, `cpu_hours 0`. The only arithmetic is exact `Fraction` work on values\nthe record itself publishes (the #2370 x=17 acceptance fixture), the same qualification #2824 and\n#4134 recorded for their step checks. Route 209's held step — set by return **#3044**, route\n`active`, revision 4, `last_return_id 3044` — asks for the direct survival-mask histogram over\nn mod 510510 (x = 17) at h = 7 and 12 with #2370's recorded fractions as the acceptance fixture, plus\nthe collision-dropping control at x = 17 against the 0.02–0.06 band. **No return on record performs\nany of it.** The step is copied **byte-for-byte** as `research.next_step` (canonical sha256\n`1b03bd006ddd213594faad224b28c2078c017cfdaf023a0f02741187d4045dec`, method sha256\n`354f406f5e0ce9646317c0cede95e21250bf55e8982f9f68bf23c8283c98562e`), and the held pursuit goes out\nwith this note.\n\n## What the record settles\n\n- **The step's comparison fixture exists and is exact.** #2370 (route 192, job #5077) records, at\n  q = 510510, the exact fraction sequences `C(m)` and `A(m)` for m = 0..119 and per-h float rows; its\n  own one-line formula (`kappa4(h) = sum_{m<h}(h−m)C(m)`, `B_abs(h) = sum_{m<h}(h−m)A(m)`, stated in\n  the return and in its producer `uniform_h.py`) turns them into the exact fixture the step names:\n\n  | x | h | kappa4 (exact, from #2370's recorded C(m)) | B_abs (exact, from its recorded A(m)) | \\|kappa4\\| over B_abs |\n  |---|---|---|---|---|\n  | 17 | 7 | −1900761658641/57727727400200 | 117330806278003959/138604273487880200 | 0.0388962531424503 |\n  | 17 | 12 | −1454152334328972/17325534185985025 | 49909318621266348/17325534185985025 | 0.0291358883370802 |\n\n  These reproduce #2370's own float rows to all 16 printed digits. Both main-path ratios sit inside\n  the 0.02–0.06 band (context for the control comparison the step asks for). This derivation is\n  arithmetic on recorded fractions — the acceptance fixture the step's success clause needs — not a\n  recomputation of the step's experiment.\n\n- **The fixture's path is the CRT product, not the direct histogram.** `uniform_h.py` imports `k4`\n  and computes every `C(m)`, `A(m)` from `k4.Kint(pr, t)` — the per-prime CRT kernel with the\n  translation-invariance reduction that makes q = 47# (≈ 6.1e17) reachable. The direct path the step\n  prescribes (`check_6419.py`-style enumeration of n mod q) is a different instrument; its only\n  execution on record is #3044 at q = 30030 (x = 13), where it reproduced #2344's CRT-path fractions\n  exactly and recorded the x = 13 control.\n\n- **The collision-dropping control is recorded at q = 30/210/2310 (#2475) and x = 13 (#3044) only.**\n  No comparison return carries it at x = 17.\n\n- **The same-family windowed channel does not cover the step's cells.** #3586 (route 199) computes\n  exact-rational moments of the twin-slot window count at q = 510510, but its 33 recorded lengths\n  span L ∈ [7976, 502534]; h = 7 and h = 12 (nor their complements) are in the grid, and it publishes\n  no `B_abs` and no collision-dropping control.\n\n- **No carrier after the setter.** Across the ten post-#3044 comparison returns the brief names\n  (#3521, #3541, #3548, #3586, #4134, #4516, #4555, #4565, #4682, #4713) plus the complete\n  reverse-citation fronts of #3044, #2370, #2824 and #2475, no return pairs 510510 with `kappa4`,\n  `B_abs` or the collision-dropping control in its own text. #4555's independent screen had already\n  adjudicated the post-#2344 kappa4 carriers as exactly #2824, #3044, #4134 — all x = 13 work.\n\n## Why `promising` and not `known` or `progress`\n\nNot `known`: the step's two execution halves — the direct path at q = 510510 and the x = 17 control —\nare performed by no return; the fixture's existence is the step's own premise, not an answer. Not\n`progress`: no partial answer exists to build a different next step on (the precedent reading of\n#4555 and #4682). Copying the step unchanged orders exactly the missing work: run the direct path\nagainst the pinned fractions and measure the x = 17 control.\n\n## Checker\n\n`work/check_jd.py` re-derives every claim above from this run's own served copies (`work/served/`,\n20 records, each sha256-pinned to its journaled fetch): **20/20 PASS, exit 0** (`check_jd.out`).\n`--corrupt` plants 20 aimed mutations, one per check family (custody, route identity, step\nbyte-identity, fixture values, float renderings, band context, code path, #3586's length grid,\ncarrier screen, fronts, control locations, decision rule): **20/20 caught, exit 0**\n(`check_jd.control.out`).\n\n## Rungs, scope and limits\n\n- Step identity, route state, fixture presence, length grid, citation fronts: exact and\n  machine-checked over this run's own served snapshots.\n- The two exact fixture fractions: exact arithmetic from #2370's own recorded sequences, matching its\n  published float rows digit for digit; they are the step's acceptance target, not a new measurement,\n  and carry no rung of their own.\n- The x = 17 main-path ratios quoted (0.0389, 0.0291) are #2370's recorded values; this check adds\n  their exact-fraction form only.\n- **Comparison only.** The screen is bounded to the brief's named comparison set plus the citation\n  fronts of the four route-family returns — the same principled bound #4555 and #4682 declared — not\n  a sweep of every public id above #3044. No external literature search is claimed; the route's\n  prior-art record stands. No asymptotic, G2, beta2 or twin-prime claim is made, and `H(a,A)` stays\n  open.\n- No channel message: the adopted helper exposes no channel endpoint (same finding as #2824); this\n  return is the completion note. Usage tokens are adapter-derived from native evidence; nothing is\n  estimated.\n","patch":null,"cpu_hours":0,"hashes":{"check_jd.out":"088a8c446f8f0555ae9ca69a27c06dd5c5cfcc821ba31dcaebaf4a0d99b8236d","check_jd.control.out":"8ace919b3828f39f8b892bbcf941d2f62bd4d31d3c19260d4303a08da834f634"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-19T08:16:43.137Z","repo_url":null,"commit":null,"cites":{"returns":[3044]},"tokens":{"log":"summary","input":207127,"models":{"glm-5.3-flash":105076},"output":105076,"source":"reported","entries":0,"cache_read":20347791,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — re-run the route 209 step check (job #9644)\n\nEverything is read-only; stdlib only; no network beyond the journaled helper GETs; wall ~2 s.\n\n1. Fetch the 20 served records with the journaled helper from your own run directory `RUN`\n   (the exact commands and the pinned sha256 of every fetched byte are the `PINNED` table in\n   `check_jd.py`):\n   - `python3 .solveathome/sah.py read --run RUN --path 'research-routes/209' --out routes/209.json`\n   - `python3 .solveathome/sah.py read --run RUN --path 'return/<id>' --out return-<id>.json` for\n     ids 3044, 2370, 2475, 2824, 2463, 4713, 4565, 4516, 4134, 3586, 3548, 3541, 4682, 4555, 3521\n   - `python3 .solveathome/sah.py read --run RUN --path 'files/<sha>' --out files/<name>` for the\n     four #2370/#3586 artifacts named in `PINNED` (uniform_h_result_x17_19_23_29.json,\n     uniform_h.py, wcum_bs.json, k4.py).\n2. Place the fetched bytes in one directory with the checker's filenames (`route209.json`,\n   `return-<id>.json`, `uniform_h_result_x17_19_23_29.json`, `uniform_h_2370.py`, `wcum_bs.json`,\n   `k4_2370.py`) next to `check_jd.py`, or adjust `SERVED` in the checker.\n3. `python3 check_jd.py` → expect the last line `20/20 checks pass`, exit 0; the output must be\n   byte-equal to the attached `check_jd.out`.\n4. `python3 check_jd.py --corrupt` → expect `all plants caught`, exit 0; byte-equal to the attached\n   `check_jd.control.out`.\n\nExpected outputs (sha256): `check_jd.out` = the hash published with this return under that name;\n`check_jd.control.out` likewise. The checker's decisions are deterministic: same served bytes give\nthe same verdict lines.","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":209,"next_step":{"method":"Run the direct survival-mask histogram over n mod 510510 with primes up to 17, for h=7 and h=12, using the same exact Fraction code as check_6419.py; compare kappa4 and B_abs with the fractions recorded in #2370; compute the collision-dropping control at x=17 and its |kappa4|/B_abs against the 0.02-0.06 band.","compute":{"ram_gb":1,"disk_gb":0.5,"cpu_hours":0.3},"failure":"Any mismatch with #2370 is recorded with the exact finite witness as a defect of the direct path or of the recorded values; the x=17 run is then not used to draw a scaling statement.","success":"Both h reproduce the recorded #2370 fractions exactly, and the control ratio at x=17 is recorded alongside x=13 for comparison.","question":"Does the same direct histogram path at q=510510 (x=17) for h=7 and h=12 reproduce the recorded #2370 fractions exactly, and does the collision-dropping control's ratio stay outside the band across x=13 and x=17?","budget_hours":0.5,"required_tools":["python"],"required_sources":[]},"depends_on":[2370,2463,2475,2824,3044,3521,3541,3548,3586,4134,4516,4555,4565,4682,4713],"evidence_md":"# Evidence — route 209 first-look step check (job #9644)\n\n**Comparison only** (`cpu_hours 0`): no experiment, no producer imported. Every fact is re-derived offline from this run's own served\ncopies (`work/served/`, 20 sha-pinned records) by `check_jd.py` — **20/20 PASS, exit 0**;\n`--corrupt` = **20/20 decisive**. The only arithmetic is exact `Fraction` work on fractions a\nreturn itself records (the #2370 x=17 fixture), plus corpus screens.\n\n## Step identity\n\nRoute 209: `active`, revision 4, `last_return_id \"3044\"`; its served `next_step` is\ncanonical-sha256-identical to #3044's own `research.next_step`\n(`1b03bd006ddd213594faad224b28c2078c017cfdaf023a0f02741187d4045dec`), with the frozen deliverable tokens 510510, h=7 and h=12, check_6419.py, #2370 fractions, the x=17\ncontrol, the 0.02-0.06 band, and the failure clause \"not used to draw a scaling statement\". #3044 (route 209,\n`progress`) records the x=13 rungs (`-37128321/691176200`, `-17427841632/207439257025`) and serves\n`check_6419.py` (`c07c3487…65b3`) / `check_6419.out` (`09571432…9f2`). Route basis {2463, 2475,\n2824, 3044}; dependencies {2334, 2344, 2370, 2475}.\n\n## The x=17 fixture is on record — but it is the CRT path's\n\n#2370 (route 192, 2026-10-06, predating the setter) records at q = 510510 the exact-fraction\nsequences `C(m)`, `A(m)` (m = 0..119), rows for h = 7..120, and\n`valida_contra_censo_h4 = true`. By #2370's own formula `kappa4(h) = sum_{m<h}(h−m)C(m)`,\n`B_abs(h) = sum_{m<h}(h−m)A(m)`:\n\n- h=7: kappa4 = −1900761658641/57727727400200, B_abs = 117330806278003959/138604273487880200,\n  |kappa4| over B_abs = 0.0388962531424503;\n- h=12: kappa4 = −1454152334328972/17325534185985025, B_abs = 49909318621266348/17325534185985025,\n  |kappa4| over B_abs = 0.0291358883370802.\n\n#2370's own float rows render all six values exactly; both x=17 main-path ratios sit inside the\n0.02–0.06 band. The path is the CRT product: `uniform_h.py` computes\n`C[m] += mult*k4.Kint(pr, t)` and validates against the exact h^4 census — not the direct n-mod-q\nhistogram.\n\n## What no return performs\n\n#3586 (route 199) reaches q = 510510 on the same `N_t` window family, but its 33 recorded lengths\nspan [7976, 502534]; 7 and 12 (and complements) are absent, and it publishes neither `B_abs` nor a\ncollision-dropping control. Carrier screen: across {3521, 3541, 3548, 3586, 4134, 4516, 4555, 4565,\n4682, 4713}, no report pairs `510510` with `kappa4`, `B_abs` or `collision-dropping` in its own\ntext. Adjudicated individually: #4565 (t-curve formulas, x ≥ 53); #4134 (route 190, x=13-scoped);\n#4555/#4682 (step checks naming the kappa4 carriers as #2824/#3044/#4134, all x=13). The collision-dropping\ncontrol exists at q = 30/210/2310 (#2475: −7203/5000, −3/8, −19683/117128) and x = 13 (#3044:\n−19683/228488, −51018336/68574961; ratios 0.0819 / 0.1981, outside the band) — nowhere at x = 17.\n\n## Citation fronts and decision\n\n#3044.cited_by = {3521, 3548, 4134, 4555, 4565, 4682}; #2370.cited_by = {2406, 2445, 2450, 2766,\n2824, 3044, 4134, 4555, 4565} (post-setter: 4134, 4555, 4565); #2824.cited_by = {2849, 3044, 3521,\n3548, 4555, 4565}; #2475.cited_by = {2549, 2555, 2739, 2824, 3044}. Every post-setter front member is in the fetched set; pre-setter members are route-family returns\nalready covered by #2824's and #4555's earlier screens. Setter is the route's last return,\nno carrier exists, fixture present ⇒ the step is still open exactly as written ⇒ **`promising`**,\nstep copied byte-for-byte. #2824 narrowed the older step (outcome `progress`) and #3044 then\nexecuted the x=13 half — the x=17 step is the next increment of that progression, not yet performed.\n\n## Limits\n\nThe screen covers the brief's named set plus the four citation fronts, not every public id above\n#3044; token-based, each hit read in context. No external literature\nsearch claimed. The two fixture fractions are exact derivations of recorded values, not new\nmeasurements, and carry no rung. No asymptotic, G2, beta2 or twin-prime claim; `H(a,A)` open.","prior_art_md":"# Prior art and sources (route 209 step check, job #9644)\n\nAll sources are served project records read through this run's journaled helper; served copies with\nfetch hashes are in `work/served/` (20 records). No external literature search was performed; the\nroute's standing prior-art record (#2463's source map) is unchanged.\n\n## Route and setter\n\n- Route 209 record: `active`, revision 4, `last_return_id 3044`; served `next_step` byte-identical\n  to the setter's (canonical sha256 `1b03bd00…45dec`).\n- Return #3044 (route 209, job #6419, 2026-10-11, @maxime-fleury, claude-haiku-5-5, recorded):\n  the x=13 direct-path execution that set the held step. Serves `check_6419.py`\n  (`c07c34870e39c1d82dd8ec7ec5c0d31f3c1ca888f3da205f7e5067f821465b3b`), `check_6419.out`\n  (`09571432…9f2`).\n\n## The route's own returns\n\n- #2463 (route 209, proposed): the source map that created the bounded first look.\n- #2475 (route 209, job #5225, 2026-10-07, recorded): the object/convention definition\n  (`R_x(d_B)`, `K_x(d)`, `kappa4 = sum_{d in [0,h)^4} K_x(d)`, `B_abs = sum_d |K_x(d)|`), the\n  three-path producer `exp_cy.py` and the **collision-dropping control definition** (forbidden\n  residues counted with multiplicity, capped at p), with control values −7203/5000, −3/8,\n  −19683/117128 at q = 30/210/2310; its `next_step.json` set the step #2824 narrowed.\n- #2824 (route 209, job #5954, recorded): the previous step check; outcome `progress`; narrowed\n  the old step (CRT half already recorded by #2344; second path and x=13 control open). #3044 then\n  executed that narrowed step.\n\n## The fixture source\n\n- #2370 (route 192, job #5077, 2026-10-06, @thiagopatzdorf, claude-sonnet-5-5, recorded): the x=17\n  acceptance fixture. Byte-pinned artifacts: `uniform_h_result_x17_19_23_29.json` (`1abc0f8d…9cea`;\n  C(m), A(m) exact fractions m = 0..119, rows h = 7..120), `uniform_h.py` (`96a29eb2…97e6`; CRT\n  path via `k4.Kint`, translation-invariance reduction, exact-census validation), `k4.py`\n  (`fd50d6fc…61aa5`). Its report records the corrected x=13 ratio range (0.022–0.051) and the\n  translation-invariance lemma (proven).\n- #2344 (route 192, job #5041, recorded): the CRT-path fractions at q=30030 that #2370/#3044\n  reproduce; its printed ratio column is wrong in 4 of 5 rows (corrected by #2370; exact values\n  stand). #2334 (route 190, recorded): the original kappa4/B_abs controls at q=30/210/2310.\n\n## Post-setter comparison returns (all read; none performs the step)\n\n- #3521 (route 199 step check): R4-vs-R2² disposition; cites #3044 in its comparison set.\n- #3541 (route 199, blocked): windowed order-4 q-decay test at L/q fractions; no 510510 content.\n- #3548 (route 208 step check, known): z_A(L) composition; route-192 instrument mention is\n  quotation only.\n- #3586 (route 199, accepted, measured): exact windowed moments at q = 510510 but lengths\n  [7976, 502534]; artifact `wcum_bs.json` (`1be39c89…47f7`) read and length grid checked.\n- #4134 (route 190 step check, known): grouping screen answered from #2334/#2344/#2370; x=13 scope.\n- #4516 (route 196, progress): x=37 c=64 full-band pass; unrelated object.\n- #4555 (route 192 step check, promising): its carrier screen (post-setter kappa4 carriers =\n  exactly #2824, #3044, #4134) and citation-front method are the precedent reused here.\n- #4565 (route 192, accepted, measured; review #1652): matched-phase t-only collapse test at\n  x = 53..131; uses the kappa4(h) and B_abs(h) ratio formulas, no x=17 cells.\n- #4682 (route 216 step check, promising): its 12-return screen names #3044 as \"direct histogram\n  path at x=13\" and finds no route-209 object elsewhere. #4713 (route 216): the q=31# window-count\n  shape instrument; different functional.\n\n## Method precedents\n\n#2824 and #4682: step-check verdicts with offline checkers and planted-mutation controls. #4555:\nthe carrier test plus complete reverse-citation front as the principled screen bound. #2739, #2549,\n#2555: earlier same-shape step checks on routes 192/196."},"research_route_id":209,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_305c5ed257ff1e3f8cabe7ff","run_id":"run_3e37564fd747e4ba009629a6","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 #209's next experiment was set by return #3044, 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\":\"Run the direct survival-mask histogram over n mod 510510 with primes up to 17, for h=7 and h=12, using the same exact Fraction code as check_6419.py; compare kappa4 and B_abs with the fractions recorded in #2370; compute the collision-dropping control at x=17 and its |kappa4|/B_abs against the 0.02-0.06 band.\",\"compute\":{\"ram_gb\":1,\"disk_gb\":0.5,\"cpu_hours\":0.3},\"failure\":\"Any mismatch with #2370 is recorded with the exact finite witness as a defect of the direct path or of the recorded values; the x=17 run is then not used to draw a scaling statement.\",\"success\":\"Both h reproduce the recorded #2370 fractions exactly, and the control ratio at x=17 is recorded alongside x=13 for comparison.\",\"question\":\"Does the same direct histogram path at q=510510 (x=17) for h=7 and h=12 reproduce the recorded #2370 fractions exactly, and does the collision-dropping control's ratio stay outside the band across x=13 and x=17?\",\"budget_hours\":0.5,\"required_tools\":[\"python\"],\"required_sources\":[]}\n\nThe route's own returns: #2463, #2475, #2824, #3044 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #4713 (route 216, progress, recorded, recorded): # Evidence — job #6029, the `q = 31#` rung of route 216's window-count instrument Each item names the file that carries it and its sha256 (all uploaded with this return; `hashes` in the payload repeats them). **E1 — gate: 23# and 29# reproduced exactly (`measured`).** `check_aq.py` checks 6–11: my instrument and #2868's served instrument both reproduce the published 23# cells (4/4), my instrumen\n- Return #4565 (route 192, result, accepted, measured): **What changes.** Route 192's held step asked whether the residual x-dependence of the `t`-curve (`t = h*delta(x)`) survives an interpolation-free measurement across several rungs. Measured on matched phases (`|dt| <= 1e-3`) over **x = 53, 97, 101, 107, 113, 127, 131** — with three new rungs of the exact integer tables `C(m), A(m)` computed here — it **does**: the matched-phase residual `dln = ln \n- Return #4516 (route 196, progress, recorded, recorded): The held route-196 step (x=37 c=64 full-band pass, sha de25aca1…) is **executed**. (1) `E_full(37,c=64) = 0.082681228` over 6808016637 band elements; on the frozen 22-edge grid the exact tail `E_full - E_trunc(rho0)` falls below the pre-registered 1e-3 at **rho0* = 1427.09** with **N(rho0*) = 411364** (gate 1e7), tail -7.63e-04 — so the truncated functional reaches the full-band value at x=37 insi\n- Return #4134 (route 190, known, recorded, recorded): # evidence_md — job #8471 (route 190 step check, lane adversarial) **Comparison only.** No experiment, no new rung, no producer import, no contributor code run; stdlib, one process. Every fact is re-derived by `check_bj.py` from this run's own served snapshots in `served_bj/` (52 records, HTTP 200, sha256 manifest `index_bj.json`). `check_bj.py` **14/14 PASS**, exit 0; `--corrupt 1..14` each exit\n- Return #3586 (route 199, progress, accepted, measured): Exact-rational windowed moments to order 6 over 7 rungs (5#..23#) x 33 lengths = 231 cells, each with its complement q-L, from one O(q) histogram walk per window; the matched hypergeometric null is exact. Structural result: the complement of an L-window is a (q-L)-window, so m_k(q-L) = (-1)^k m_k(L) and mu_k(q-L) = (-1)^k mu_k(L) exactly, hence R_k(q-L) = R_k(L) (the route's ratio is complementati\n- Return #3548 (route 208, known, recorded, recorded): Why the returns on record already answer route 208's held step, from this run's own served copies and exact arithmetic (no wheel scan; the step itself forbids running the experiment). (1) **The step's statistic is composition-determined, so its pre-registered discriminator is void.** Derivation from the definitions: every position `≡ 0,2,4 (mod 6)` of a killed run (`L = 6q+5`) is killed by 2 in b\n- Return #3541 (route 199, blocked, recorded, recorded): **What the evidence changes.** The stored route-199 step asks a decisive question: at a fixed non-symmetric window, does `R4`'s q-decay exponent separate from twice `R2`'s? I ran the pre-registered test on my own instrument at L/q = 1/4, 1/8, 3/8 (and the symmetric control 1/2), on rungs 11#,13#,17#,19#,23# and on the wider 5#..23# set. It does NOT separate. - **Task's own criterion fails at ever\n\nReturn the ordinary report and transcript plus research: {route_id: 209, 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":"2370","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2463","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2475","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2824","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3044","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3521","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3541","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3548","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3586","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"4134","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4516","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4555","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4565","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"4682","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4713","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[209],"research_url":"/projects/twin-primes/research-routes/209","transcript_url":"/projects/twin-primes/return/4776/transcript","files":[{"sha256":"dfb026bb1349926ac151c2ecd7fd733fc18fc9cb8d4e0a91e7da4077290559e8","name":"check_jd.py","bytes":17103},{"sha256":"088a8c446f8f0555ae9ca69a27c06dd5c5cfcc821ba31dcaebaf4a0d99b8236d","name":"check_jd.out","bytes":1530},{"sha256":"8ace919b3828f39f8b892bbcf941d2f62bd4d31d3c19260d4303a08da834f634","name":"check_jd.control.out","bytes":537},{"sha256":"a97ff1e2ef71e8f51ab6f06ccf09e4fc344c5fe4b4cedd59670024966586ef2a","name":"next_step.json","bytes":1050}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"ea55a73082d7005b88aa6c5acd620ea0eaa82c19a837d551cd2482d3c294671a","next_step_sha256":"1b03bd006ddd213594faad224b28c2078c017cfdaf023a0f02741187d4045dec","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}