{"id":2864,"job_id":6025,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Report — job #6025, route 201 step check (First look)\n\n**Assignment.** Type `explore`, stage `first_look`, route **201** (\"The matched-carrier\nempty-window deficit: is route 200's `P(N=0)` under-dispersion twin-specific?\"), general mode,\nsession's last assignment (1/1). Outcome: **`promising`**.\n\n**Framework / readiness.** Stamp `run-2026-10-10-ij` (53/53 @2026-10-10T20:52:39Z) matched the live\nserved framework `framework-d434297cbdad` and the tool sha256 `21a1d355…`, with a successful use\n< 24 h, so the startup self-test was skipped per guidance. `outstanding` @23:14Z: **600 attempts,\nunresolved 0, `all_complete true`**, no live processes; no open attempt to recover. Identity lookup\nbound to this session's chat dir: model `deepseek/deepseek-v4-flash`, effort **unmeasured**\n(chat-meta / run-state `agentType`+templates+`reasoningOptions` expose no level).\n\n## The step and the question\n\nRoute 201 is `active`, revision **4**, held step set by **#2491** (served `next_step`; `method`\nsha256 `1e0caabe…`). It asks to extend the route's exact empty-window computation one primorial rung\nto `q = 29# = 6469693230` (`K = 214708725`, `phi = prod_{p<=29}(p-1)`, `mg = q/K`), reusing the\nserved closed form `P_fix = (1/q) sum_t C(phi-w_t,K)/C(phi,K)` with a **segmented-prefix**\ninstrument (a full-period int32 prefix is ~26 GB); and to report `R0, R0_fix`, the tail-vs-variance\nratio, `p_fix/p` and the exact empty-window count at `L = round(c*mg)` for `c in {1,2,4}` and `L = 4`,\nthe same cells at the crossing scale `L*(q)`, the `c=1,2` `R0_fix` sequences over `7#..29#`, and the\n`c=1` increment `R0_fix(29#)-R0_fix(23#)`. A pre-registered gate must reproduce #2491's 23# cells\nand #2403/#2397's 7#..19# cells to <1% before any 29# cell is read.\n\nThe question: do the returns recorded after #2491 already answer it?\n\n## What was done (comparison only: no experiment run, `cpu_hours 0`)\n\nRead alone, using journaled GETs under this run's session: route 201 and its declared dependencies;\nroute 201's own returns **#2410, #2419, #2491**; the five named comparison returns **#2845** (route\n214), **#2572/#2570** (route 232), **#2516** (route 198), **#2493** (route 200); and the 16 lane\ndir-558 evidence returns the brief lists. Every served return's `report_md` was re-hashed against the\n`report_sha256` it carries; all verify (`work/check_iq.out`, `work/served_hashes_iq.json`).\n\n## Finding: the step is still open\n\n| return | route | object / rungs | reaches `q = 29#` for THIS object? |\n|---|---|---|---|\n| #2491 | 201 | the route's own object; 23# measured; its 29# text is the *next experiment* | no (23# last measured) |\n| #2419 | 201 | defines the matched deficit; 7#..19# | no |\n| #2410 | 201 | null-convention correction; 7#..19# | no |\n| #2516 | 198 | second-moment crossover `L*(q) ~ q^0.65..0.70`; \"The `L = 29#` rung and above are **not reached**\" | no |\n| #2493 | 200 | obstacle cleared; crossing scale `L*(q)` measured at **7#..23#**, `q*P_q(L*) = 0` at all six rungs | no (stops at 23#) |\n| #2570 | 232 | new statistic `K(h)` on `A_q`, `q = 510510` | no |\n| #2572 | 232 | `K(h)` at 19#/23#; \"`29#` … was **not** computed; a segmented scan is required\" | no |\n| #2845 | 214 | Lean `verification_plan` step check, read-only; only 29# mention is \"29# out of reach\" | no |\n\nAcross all 24 served returns, the token pair (the `29#` rung token, the route-201 object token\n`R0_fix`) co-occurs in exactly **one** report: **#2491**, the step's own author — and there only as\nthe next-experiment instruction (\"one rung further (`29#` …)\"), never as a measurement row. The 16\nlane evidence returns carry **0** occurrences of `R0_fix`. **No return measures the matched-carrier\nempty-window deficit at `q = 29#`.**\n\n## Verdict\n\n**`promising`** — the step is still open and is copied exactly as the replacement `next_step`; the\nheld pursuit goes out with this note. One bearing-on caveat for the pursuit: #2493 shows the\ncrossing-scale cell is *identically zero* (`P_q(L*) = 0`, hence `R0(L*) = R0_fix(L*) = 0` and\n`p_fix/p` undefined) at every recorded rung, for the same object `A_q` and the same hypergeometric\nnull. That bounds what the 29# crossing row can show, but it is measured only to 23# and does not\nanswer the 29# rung.\n\n## Scope / disclosure\n\n`cpu_hours 0`; no published computation reproduced, no new measurement; no asymptotic, `G2`,\n`beta_2` or twin-infinitude claim. `request_review: false` (a work-disposition comparison). Coverage\nis the served corpus the job names plus route 201's own returns and the listed lane evidence; the\nbrief notes further potentially relevant results were omitted. **48** of @Benjaminsen's returns\nstill wait for a verdict.\n","patch":null,"cpu_hours":0,"hashes":{},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-10T23:27:45.937Z","repo_url":null,"commit":null,"cites":{"returns":[2491]},"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 — job #6025 (route 201 step check)\n\nRead-only comparison. Reproduce it with one account token and Python 3.11; `cpu_hours 0`, no\nnetwork during checking beyond the journaled GETs.\n\n## 0. Prerequisites\n\n- Python 3.11, stdlib only for the checker.\n- The department tool `sah.py` (`sah-tool/1.0.11`, sha256 `21a1d355…`) and the read-only protocol\n  cache tool `cache_protocol.py`, both attached to this return.\n- The account token in the protected runtime config (never in a file tree, log or transcript).\n\n## 1. Readiness and identity (skip-licensed)\n\n```\npython3 sah.py outstanding          # expect: attempts_total 600, unresolved 0, all_complete true\npython3 cache_protocol.py framework # expect: served framework-d434297cbdad == the stamp\npython3 sah.py identity --chat-dir <this session's chat dir>\n                                    # expect: model deepseek/deepseek-v4-flash, effort unmeasured\n```\n\n## 2. Fetch the served corpus (journaled GETs)\n\n```\npython3 fetch_iq.py                 # writes served/route_201.json, served/route_{200,198,232,214}.json,\n                                    # served/return_<id>.json for the 24 returns, served/job_{5266,5139}.json\n```\n\n`fetch_iq.py` uses this run's session headers (`sah.api(\"GET\", …, run=…, headers=…)`) and assigns no\nwork. The raw served JSON is uploaded byte-faithful as `served-route_*.json` / `served-return_*.json`.\n\n## 3. Verify\n\n```\npython3 check_iq.py                 # 40 checks, 0 fail, exit 0\npython3 check_iq.py --corrupt       # 12 planted mutations, 12 caught, exit 0\n```\n\nWhat the checks assert (all from the served bytes, no producer import):\n\n- A. each served return's `report_md` reproduces its declared `report_sha256` (24 checks);\n- B. `next_step_iq.json` equals the served route-201 `next_step` field-by-field, and `method`\n  sha256 == `1e0caabe…`;\n- C. route 201 is `active`, rev 4, `last_return_id 2491`;\n- D. exactly one served report carries both the `29#` rung token and the `R0_fix` token — the step\n  author #2491 — and its `29#` occurrences are next-experiment prose;\n- E. #2572 records \"29# … not computed\" and #2516 records \"L = 29# … not reached\".\n\n`served_hashes_iq.json` lists every served file's byte hash and each return's recomputed report hash.\n\n## 4. The comparison result\n\nOutcome `promising`: no return measures the matched-carrier empty-window deficit at `q = 29#`; the\nheld step is copied verbatim into the return's `research.next_step`. See `report_iq.md` and\n`evidence_iq.md`.","verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":null,"also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":null,"file_notes":null,"research":{"outcome":"promising","route_id":201,"next_step":{"method":"Extend the same exact computation one primorial rung, q = 29# = 6469693230, K = prod_{p<=29,p>2}(p-2) = 214708725, phi = prod_{p<=29}(p-1), mg = q/K. Reuse the served closed form unchanged, P_fix = (1/q) sum_t C(phi-w_t,K)/C(phi,K) from the histogram of the carrier window count w_t, with R0 = P_q/P_null, R0_fix = P_q/P_fix, R_A = V_A/V_null_A, R_fix = V_A/V_fix and p_fix/p = log R_A/log R_fix; all statistics in log space. One bounded instrument adaptation is needed and is confined to memory, not to the object: the period is 6.47e9, so a full-period int32 prefix sum is ~26 GB and does not fit. Replace it with a segmented prefix carrying a rolling base count (the existing blockwise difference with the running A-count before the segment added in, plus an L-position seam overlap), which is the same arithmetic with O(segment) memory. Report, at L = round(c*mg) for c in {1,2,4} and at L = 4: R0, R0_fix, the tail-vs-variance ratio (P_fix/P_null)/(V_fix/V_null_A), p_fix/p, and the exact empty-window count zA; report the same cells at the crossing scale L*(q) = smallest L with q*P_null <= 1. Report the c=1 and c=2 R0_fix sequences over 7#..29# and the c=1 increment R0_fix(29#)-R0_fix(23#) against the previous increment. Pre-registered acceptance gate before reading any 29# cell: reproduce this return's 23# cells (R0, R0_fix, c=1,2,4 and L=4) to <1% with the segmented-prefix code, and reproduce the published gate cells of #2403 and #2397 at 7#..19# to <1%. Exact counts; no sampling; no asymptotic claim.","compute":{"ram_gb":8,"disk_gb":2,"cpu_hours":4},"failure":"At 29#: R0_fix at c=1 is >= 0.90, or the c=1 increment does not shrink across two consecutive rungs (a linear or accelerating rise), or the tail-vs-variance ratio at fixed c falls below 0.8 at 23#-and-29# together. Then the carrier-matched empty-window deficit is bookkeeping at large q, route 200's amplification does not survive the null choice at the scale that matters, and route 201 is recorded as a scoped negative with the measured R0_fix table and the crossing-scale row preserved.","success":"At 29#: p_fix/p at c=1 and c=2 stays inside [1.15, 1.55]; the tail-vs-variance ratio at L=4 stays inside [0.8, 1.4]; and the c=1 increment R0_fix(29#) - R0_fix(23#) is strictly smaller than R0_fix(23#) - R0_fix(19#). Then the rise decelerates and the empty-window deficit is not yet bookkeeping; route 200's conditional payoff P_q <= P_null * q^-(p*theta) can be restated against P_fix with the measured correction factor, and the crossing-scale row can be quoted as the functional the payoff consumes.","question":"The 23# rung answers the route's original bounded-interval criterion but leaves two trends unseparated at fixed c: does the c=1 carrier-corrected deficit R0_fix keep rising at the same rate (the deficit is bookkeeping at large q) or does its increment shrink (the deficit persists), and does either answer survive one more rung at the scale the payoff actually consumes, L*(q) where q*P_null = 1?","budget_hours":2,"required_tools":["numpy"],"required_sources":[]},"depends_on":[2491,2410,2419,2493,2516,2572,2570,2845],"evidence_md":"# Evidence — job #6025 (route 201 step check)\n\nRead-only. Every served record was fetched by GET under this run's session; local byte copies are\nin `served/`, hashes in `served_hashes_iq.json`. `cpu_hours 0`; no experiment run, no computation\nreproduced. Independent checker `check_iq.py`: **40 checks, 0 fail, exit 0** (`check_iq.out`);\n`--corrupt` (12 planted mutations) → **12 caught, exit 0** (`check_iq.control.out`).\n\n## 1. Served-record integrity\n\nAll 24 returns in the comparison set verify against their declared `report_sha256` (recomputed from\nthe served `report_md`). Route record `research-routes/201`: `state = active`, `revision = 4`,\n`last_return_id = 2491`.\n\n## 2. The held step (set by #2491), reproduced byte-for-byte\n\nServed route-201 `next_step` == `next_step_iq.json`, field by field; `method` (1518 chars) sha256\n`1e0caabe73713b558c21ac8be52f8a3240b0f5c59e5329ad1fac706079c0a05c`. Decisive rung:\n`q = 29# = 6469693230`, `K = 214708725`; instrument adaptation: \"a full-period int32 prefix sum is\n~26 GB and does not fit. Replace it with a segmented prefix carrying a rolling base count\".\n\n## 3. Every comparison return settles its own route's object, not route 201's\n\n- **#2491** (route 201, job #5266, `progress`). Measured the **23#** rung (`q = 223092870`): table\n  rows only at `c = 1,2,4` (L = 28/56/112). Its only `29#` text is the *next experiment*: \"The next\n  experiment is one rung further (`29#`, `q = 6469693230`, `K = 7952175*27 = 214708725`) at the same\n  `c = 1, 2` cells, plus the crossing-scale row\". `cpu_hours 0.1`. No 29# cell exists.\n- **#2516** (route 198, job #5106, `result`): \"The `L = 29#` rung and above are **not reached** (the\n  exact spectral route is `O(q)` per grid point; 29# is `q = 6.5e9`).\" Object: the crossover `L*(q)`\n  of the second moment, rungs ≤ 23#.\n- **#2572** (route 232, job #5363, `promising`): \"`29#` (q = 6 469 693 230) was **not** computed; a\n  segmented scan is required (>16 GB otherwise).\" Object: the tail-clustering profile `K(h)`.\n- **#2493** (route 200, job #5265, `progress`): clears route 200's obstacle and measures the crossing\n  scale for the **same** object `A_q` and the **same** hypergeometric null at **7#..23#** —\n  table `L0(q)/L*(q)` with `q*P_q(L*) = 0` at all six rungs; \"`P_q(L*) = 0` and `R0(L*) = 0`\n  identically\". It stops at 23# (`q = 223092870`); no 29# cell.\n- **#2570** (route 232, job #5362, `proposed`): defines `K(h)` on `A_q` at `q = 510510`.\n- **#2845** (route 214, job #5987): Lean `verification_plan` step check, read-only; the one `29#`\n  occurrence is a table cell for another route (\"29# out of reach\").\n\n## 4. The decisive token scan (checker section D)\n\nFor all 24 served returns, the pair (`29#` in `report_md`, `R0_fix` in `report_md`) holds for exactly\none: **#2491**, and there `29#` occurs only in the next-experiment prose (\"one rung further\", \"next\nexperiment\"). All 16 lane dir-558 evidence returns (jobs 5351–5745) carry **0** occurrences of\n`R0_fix`. Therefore no return measures the route-201 object at `q = 29#`.\n\n## 5. What the returns do NOT settle\n\nThe route-201 step's four outputs at 29# — `R0/R0_fix/tail-var/p_fix/p/zA` at `c = 1,2,4` and\n`L = 4`; the crossing-scale cells; the `c=1,2` sequences over `7#..29#`; the `c=1` increment\n`R0_fix(29#)-R0_fix(23#)` — are all absent from the served corpus. Independent corroboration that\n29# is unmeasured for this family of objects: #2572 (\"not computed\"), #2516 (\"not reached\").\n\n## 6. Coordination\n\nIn-flight work named by the brief (`#6006`, `#5982`, `#5978`, `#5754`, `#5611`, `#5604`) is on\ndistinct objects; none computes the empty-window deficit at 29#. No route-201 job is currently\nissued except this step check.","prior_art_md":"# Prior art — job #6025 (route 201 step check)\n\nThis is a work-disposition comparison, not new research, so **no new external literature search was\nperformed**. The prior-art question for this step is already on the route: whether any *project*\nreturn answers it (checked, §3 of the evidence — none does).\n\n## The route's own prior-art record (unchanged, reused)\n\nRoute 201's contribution carries a prior-art/search record (originally job #5266; the record was\nbuilt from the four queries of the earlier #2403/#2419 search plus five on 2026-10-07). Its nearest\nsource, read in body through the documented mirror, is:\n\n> **T. T. K. Nguyen, \"Finite-Window Noncovering on Primorial Wheels: Higher-Order CRT Bounds and\n> Shift Correlations\", preprints.org 202608.1299 v1** (2026-08-18).\n\nThe record's own reading: Nguyen owns the *object* (the class deletion defining `A_q`, complete-period\ndensity positive, the finite window as the difficulty) but contains **no** probability functional\n`P(N=0)`, **no** hypergeometric null, **no** size/density/carrier-matched control, **no** `R_A`, `R_fix`\nor exponent transfer `p(c) = log R0/log R_A`, and **no** tail-versus-variance comparison. It is exact\ndeterministic counting (CRT intersections, Bonferroni, Fourier shift correlations, maximum gaps) on\n`|U(C)|`. The route's remaining unowned content is the tail-versus-null decomposition.\n\nAlso located, not matches (per the same record): MathOverflow 513803 (admissible binary patterns mod\nprimorials); Ziller arXiv:1903.11973 (Jacobsthal's conjecture); *The Replication-Deletion Primorial\nSieve* (ResearchGate, 2026); arXiv:1512.00149 (variance analogue); Kuperberg ANT 19-4 (2025) and Bloom\narXiv:2312.09021 (odd moments on `B_q`). Access gaps recorded: MathSciNet/zbMATH unreachable,\npreprints.org direct 403 (mirror only); every item except Nguyen is abstract/snippet level.\n\n## Bearing on this step\n\nNothing in that prior art changes whether the 29# rung should be run. The step is the project's own\ntail-versus-null measurement (the closed form and the matched control are #2491/#2397's), so no\nexternal source can answer it. The comparison here is therefore entirely against the project corpus\nthe job names; no novelty claim is made and none is needed for a step-disposition return."},"research_route_id":201,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_d54753201b468c391fdb245c","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,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #201's next experiment was set by return #2491, 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\":\"Extend the same exact computation one primorial rung, q = 29# = 6469693230, K = prod_{p<=29,p>2}(p-2) = 214708725, phi = prod_{p<=29}(p-1), mg = q/K. Reuse the served closed form unchanged, P_fix = (1/q) sum_t C(phi-w_t,K)/C(phi,K) from the histogram of the carrier window count w_t, with R0 = P_q/P_null, R0_fix = P_q/P_fix, R_A = V_A/V_null_A, R_fix = V_A/V_fix and p_fix/p = log R_A/log R_fix; all statistics in log space. One bounded instrument adaptation is needed and is confined to memory, not to the object: the period is 6.47e9, so a full-period int32 prefix sum is ~26 GB and does not fit. Replace it with a segmented prefix carrying a rolling base count (the existing blockwise difference with the running A-count before the segment added in, plus an L-position seam overlap), which is the same arithmetic with O(segment) memory. Report, at L = round(c*mg) for c in {1,2,4} and at L = 4: R0, R0_fix, the tail-vs-variance ratio (P_fix/P_null)/(V_fix/V_null_A), p_fix/p, and the exact empty-window count zA; report the same cells at the crossing scale L*(q) = smallest L with q*P_null <= 1. Report the c=1 and c=2 R0_fix sequences over 7#..29# and the c=1 increment R0_fix(29#)-R0_fix(23#) against the previous increment. Pre-registered acceptance gate before reading any 29# cell: reproduce this return's 23# cells (R0, R0_fix, c=1,2,4 and L=4) to <1% with the segmented-prefix code, and reproduce the published gate cells of #2403 and #2397 at 7#..19# to <1%. Exact counts; no sampling; no asymptotic claim.\",\"compute\":{\"ram_gb\":8,\"disk_gb\":2,\"cpu_hours\":4},\"failure\":\"At 29#: R0_fix at c=1 is >= 0.90, or the c=1 increment does not shrink across two consecutive rungs (a linear or accelerating rise), or the tail-vs-variance ratio at fixed c falls below 0.8 at 23#-and-29# together. Then the carrier-matched empty-window deficit is bookkeeping at large q, route 200's amplification does not survive the null choice at the scale that matters, and route 201 is recorded as a scoped negative with the measured R0_fix table and the crossing-scale row preserved.\",\"success\":\"At 29#: p_fix/p at c=1 and c=2 stays inside [1.15, 1.55]; the tail-vs-variance ratio at L=4 stays inside [0.8, 1.4]; and the c=1 increment R0_fix(29#) - R0_fix(23#) is strictly smaller than R0_fix(23#) - R0_fix(19#). Then the rise decelerates and the empty-window deficit is not yet bookkeeping; route 200's conditional payoff P_q <= P_null * q^-(p*theta) can be restated against P_fix with the measured correction factor, and the crossing-scale row can be quoted as the functional the payoff consumes.\",\"question\":\"The 23# rung answers the route's original bounded-interval criterion but leaves two trends unseparated at fixed c: does the c=1 carrier-corrected deficit R0_fix keep rising at the same rate (the deficit is bookkeeping at large q) or does its increment shrink (the deficit persists), and does either answer survive one more rung at the scale the payoff actually consumes, L*(q) where q*P_null = 1?\",\"budget_hours\":2,\"required_tools\":[\"numpy\"],\"required_sources\":[]}\n\nThe route's own returns: #2410, #2419, #2491 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #2845 (route 214, progress, recorded, recorded): # Evidence — job #5987 (route 214 step check) Read-only. Every served record fetched by GET under the run's session and journaled in `state/journal/requests.jsonl`; local copies in `work/served/`. `cpu_hours 0`; no build, no Lean toolchain, no computation. ## Served return records (report text verified against its declared `report_sha256`) | return | route | status | final_rung | report_sha256 \n- Return #2572 (route 232, promising, recorded, recorded): # Evidence — job #5363 (route 232 first look, K(h) at 19#/23#) All numbers below are re-derived from this run's own files by an independent checker that does **not** import the producer: `check_hs.py` (stdlib + numpy, offline). Result: **checks_ok = 1317, checks_fail = 0, exit 0**; `--corrupt` (planted `+0.05` shift in every `K(h)`) → **161 fail, exit 1**. ## Rule reuse is validated against an e\n- Return #2570 (route 232, proposed, recorded, recorded): The instrument is cheap and reproducible: a from-scratch computation at q=510510 costs ~13 s and the run used ~0.02 CPU-h; the exact rational nulls make the statistic deterministic apart from the M=199 permutation control, whose mean validates the null (ctrl_mean(K)~1.000); an independent stdlib checker reproduces 514 checks (exit 0) and fails on a planted mutation. The falsifier was pre-registere\n- Return #2516 (route 198, result, accepted, measured): # Evidence — job #5106 (route 198 pursuit: the crossover and the fixed-`L` limit) Prose: `report.md`; numbers: `grid198.json`, `check_grid.json`, `deficit198.json`. Record facts are served GETs (`GET /research-routes/198`, `GET /return/<id>` for #2393/#2386/#2502), every declared file sha-verified; the measurements are this job's own on the served definitions, with `served/r2393/compute_aq.py` re\n- Return #2493 (route 200, progress, recorded, recorded): **Two changes, one to the obstacle and one to the route's decisive cell.** **(1) The obstacle is cleared as an obstacle.** Route 200's machine-readable declared dependencies are `#2393`, `#2397`, `#2403` (served `research-routes/200`). `#2395` appears only in the lane-saturation sentence that motivates the route and in the prior-art search record's list of returns *read*; neither is a premise. Th\n\nReturn the ordinary report and transcript plus research: {route_id: 201, outcome, evidence_md, depends_on}, with one of:\n- outcome \"known\": the returns you name in depends_on already answer the step; evidence_md says what each settles. No next_step. The route stops here and the pursuit is not handed out.\n- outcome \"progress\" with a new next_step that builds on the answer where they answer part of it; the old step is replaced.\n- outcome \"promising\" with the step above copied exactly as next_step when it is still open; the held pursuit then goes out with your note, and these returns never hold it 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