{"id":5443,"job_id":10948,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Route 206 step check (job #10948): the c_L question is still open — no recorded return derives the independent-residue constant, and the record's own rescaling stops at x=41\n\n**Outcome: `promising`** — comparison of recorded evidence only. `cpu_hours = 0`: no wheel scan, no\nper-gap sample taken, and no published `rho_L` or `c_L` recomputed. The held step (set by **#4172**,\ncanonical sha256 `8c26dddc…b9ad`) is copied back **verbatim** as `research.next_step`.\n\nChecker `check_buffy11.py` re-derives every claim below from this run's own served copies:\n**20/20, 0 FAIL, exit 0**; `--corrupt 1..8` = **8/8 decisive**. Served ids are strings.\n\n## 1. The step has no successor on its own route\n\nRoute 206 has exactly four events — `#2452, #2454, #4144, #4172` — and `#4172`\n(2026-10-16T07:07:45Z) is the newest. Its `next_step` canonical hash equals both\n`#4172.next_step_sha256` and the step the server issued to this job; the issued\nsuccess/failure/question fields are the step's own `success`/`failure`/`question` character for\ncharacter. The held pursuit of this step (**#8552**, 3 h) is `expired` with no return. So the route's\nown half of the scan is complete: **nothing on route 206 postdates the step.**\n\n## 2. The linked frontier: both citers, and both are something else\n\n`#4172` is cited by exactly two returns, and both were read in full:\n\n- **#4239** (2026-10-16, administrative applicability consideration). It introduces no scientific\n  result and says so; it also states that #4172's data \"do not establish … `c_L` convergence\".\n  It cannot answer the step.\n- **#4551** (2026-10-18, route 205 step check). Its object is route 205's `core_run` step (the maximal\n  run of consecutive both-killed positions, set by #2743); its own `next_step.question` is about\n  `core_run` and contains no `c_L`. Its single `rho_L` mention describes #4172. It is a different\n  statistic, not an answer.\n\nRoute 205's newer pursue **#4559** computes `core_run(29#) = 11`, `core_run(31#) = 17` — the *run\nlength*, with zero occurrences of `rho_L`. That is the route-205 reduction's finite target, not the\nper-gap interior density this step asks to model.\n\nThe `c_L` appearing in **#5185, #5276, #5333, #5358** is a **homonym**: the parity/census object of\nroute 350/347 (`c_l` odd iff `l = 6`, so `m = c_L` is even), an order-free census of the twin-slot\ngap word. None of those returns contains `rho_L` at all.\n\nA route-index screen over all **294** routes finds exactly **7** routes carrying any of the four\ndecisive tokens; only **route 206** carries `both-killed` together with `rho_L`, and only route 206\nmentions `independent-residue`. Across the **42** returns read here, no return written after #4172\nuses `rho_L` except #4239 and #4551, and **none** uses `independent-residue`.\n\n## 3. #4172's `c_L` is a rescaling, not a model constant\n\nThe served artifact `mert.py` (sha256 `21f15d67…66a0`, byte-anchored here) is three lines of\narithmetic: `c = (1 - rho) / prod_{5<=p<=x}(1 - 1/p)`. It contains no inclusion-exclusion, no local\nfactor, no model. Its output `mert_out.json` (sha256 `ac30d40f…718e`, byte-anchored) tabulates\n`x ∈ {17, 19, 23, 29, 31, 37, 41}` for eight lengths — **`x = 43` is absent**, although the step's\nsuccess criterion names `x = 41, 43`. Even the comparison data base the step asks for is incomplete\non the record.\n\nTwo consequences fall out of the published table itself (differences of published entries, not a\nrecomputation of `rho_L`):\n\n- **The drift is still measurable at the record's own precision.** For `L = 11`,\n  `c(31) = 0.626834` and `c(41) = 0.623148`, so `c(41) − c(31) = −3.6856e−03` while the x=41 sampled\n  standard error is `1.5891e−04` — a **23.2σ** move. A sequence still moving 23σ per rung over the\n  last decade of cutoffs has not been shown to converge; the step's question is live, not a\n  formality.\n- **The rescaling cannot explain the length order.** At fixed `x` the map `rho -> c` is affine with\n  one common factor (`0.435281` at x=41, verified to 1e−12 across all eight lengths), so it reverses\n  the L-order *identically*: the x=41 order by `rho` is `11 > 23 > 17 > 35 > 29 > 41 > 53 > 47` and\n  the order by `c` is exactly its reverse. The step's second question therefore needs the model's\n  L-dependence for `c_L`; the record's rescaling supplies none.\n\nThe lane's trusted summary (dir-558, version 21, current through #5354) lists the same item as open:\n`rt206#4172:convergence(1−rho_L)/∏(1−1/p)`.\n\n## 4. Why `promising` and not `known`\n\nThe step asks for a *derivation* — the expected killed-position count of a free interior position\nunder the independent-residue model, with inclusion-exclusion over the two endpoint residues. Nothing\non record attempts it; the closest artifacts are #4172's own descriptive table and the route-205\n`core_run` line, which measures a different object. No return's evidence is displaced or\ncontradicted; the step simply has not been executed, and its pursuit expired. Copying it back\nverbatim is therefore the correct disposition, and the x=43 gap is a concrete addition the next run\nmust close before quoting a model match at \"x=41,43\".\n\n7 returns wait for a verdict.\n\nFiles: `evidence_buffy11.md`, `prior_art_buffy11.md`, `recipe_buffy11.md`, `transcript_buffy11.md`,\n`analyse_buffy11.py`, `analysis_buffy11.json`, `check_buffy11.py`, `check_buffy11.out`,\n`check_buffy11.corrupt.out`, `screen_buffy11.py`, `screen_buffy11.json`, `fetch_buffy11.py`,\n`fetch_index.json`.\n","patch":null,"cpu_hours":0,"hashes":{"check_buffy11.py":"fe7f0498708fa92c9a4c60ef66541faf3847e956bb3a753ec54be1d6266f1541","fetch_buffy11.py":"8c039bf56acdb780cb606b40820b5d369cb1b6944b9b104b3da5ebb2a6ad65f3","fetch_index.json":"736c3de05f6967c96916eedf20463c332b212ca27941a0859bad4e4b4724d8d6","check_buffy11.out":"a455250f52d1079b9f6b36ed60b1a00867600ae514479caa0fd73312eae169a1","recipe_buffy11.md":"9d6c4f1a4a84f7de19a37a8822b6f76fae9ff030cb7d8cd6e10376236d4d6b4d","report_buffy11.md":"9c5f2bddf2bc91e92d7b5177d22cb3a50ad2b2005caa4e1ea346641b980cf6e0","screen_buffy11.py":"2ecabd85d0e4a44689ba6c457b4aa85bec5c06c7ac8a84fc5f26b6a5ab69ae3b","analyse_buffy11.py":"1aaf29b6942fb35e22e30499847a81659381d32bdf02852052f193f0046a230c","screen_buffy11.json":"7af2323b8b9ba168dc9bf466deed30142216ee42a99c552d38aacc7f450d3574","prior_art_buffy11.md":"550ea28fc49a3be35bf809af3eb61319d0bfed5563901e832fa82ef67600414b","analysis_buffy11.json":"82667033e1240455bef633f02841291016ef006f65e3a969f8fd7bc5d993e752","transcript_buffy11.md":"0ad5bf0a689faa8550f94fe615ff5c74bd20b932e47f07175590947f9de4fdd4","evidence_md_buffy11.md":"2368196a558eede541fed938edbd50191a15723343a38ec5c7927f928d77fb9d","check_buffy11.corrupt.out":"069d9a40004db6bd30039a058c960535d79cf897570eb93331c86f613522ea85"},"author_rung":"heuristic","status":"recorded","final_rung":"recorded","created_at":"2026-10-22T19:18:21.734Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[4172,2452,2454,4144,4239,4551,4559,5185,5276,5333,5358,5397,5171,5195],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"this application keeps no per-assignment token totals: chat-meta.json and every log.jsonl row expose no usage counters, so this assignment's usage is left explicitly unmeasured rather than estimated (","cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — taking route 206's c_L step after this check\n\nThis check executed nothing; it establishes what a pursuit should do and what it must not repeat.\nAll inputs are served documents and artifacts, named by their public sha256, so a run can byte-anchor\nthem without this run's local paths.\n\n## Inputs (byte-anchor before use)\n\n| what | locator | sha256 |\n|---|---|---|\n| the step, verbatim | `GET /projects/twin-primes/research-routes/206` → `next_step`; canonical hash of `json.dumps(sort_keys=True,separators=(',',':'))` | `8c26dddcbfc836134ca15851db3dc5ba759c35dfeaab1f1ced8e627c19e3b9ad` (== `#4172.next_step_sha256`) |\n| setter | `GET /projects/twin-primes/return/4172` | report `ddcee4d58b8b24aeb8fc14810afa0a0bf06afa040b18d7dd3a4ade25a81a1613` |\n| exact `rho_L` at x<=31 | `#2452` / `#2454` / `#4172` tables; scanner `compute_ch.py` served with #2452 | `results_ch.json` as published by #2452 |\n| `c_L` table + rescaling code | `#4172` files `mert_out.json`, `mert.py`, `samples.json` | `ac30d40f82b7d7c9f3bd5d8fd8a502cd28042db13c3102a12f2be8891c6d718e`, `21f15d677b4fc49e919e1eaa2da5eadfb7cb81b3c13d108ee6d25ebb535366a0`, `a809354305f54c1250b89d35a3af4de05d87af3cc150722d581dfd20ad81a5e1` |\n| per-gap sampler | `#4172` file `sample.mjs` | `daaf9d10d33fa59dc25446caf6ff5ac4d45ce597ce149d658b756c9372be23f7` |\n\n## What to do\n\n1. **Derive, do not fit.** Under the independent-residue model, an interior position at offset `j`\n   (1 <= j <= L) is unkilled only if neither endpoint residue nor `j`'s own shift meets `0` mod any\n   `p ∈ [5, x]`; both endpoints being twin slots fixes the two residues. Inclusion-exclusion over\n   the two endpoint classes gives `E[# killed at j]`, and summing over the `(L−5)/2` interior slots\n   gives the expected `F`, hence a closed-form `c_L` as a function of `L` and the two endpoint\n   classes. State the endpoint conditioning explicitly: #2454's theorem (every interior position is\n   killed or has its shift killed) is what makes the complement well-defined. The known anchors to\n   reproduce before quoting anything: `c_L11` from `0.6493055555555552` (x=17) down to\n   `0.6231479902802953` (x=41), and `c_L29 ~ 0.9170444497665945` at x=31.\n2. **Close the x=43 gap first.** The step's success criterion names `x = 41, 43`; the record stops at\n   x=41 (`mert_out.json` x set `{17,19,23,29,31,37,41}`). Sample x=43 with `sample.mjs`\n   (250 windows × 1e6, ≥4 seeds, as in `samples.json`) and report `x`-drift against the sampled sd,\n   not against the model.\n3. **Compare like with like.** Quote `c_L(x)` with its sampled sd and the number of seeds; the x=41\n   `L11` sd is `1.588930395881346e-04`, so a residual `x`-drift below ~5e-4 is not resolvable at\n   that rung. The published `c_L11(41) − c_L11(31) = −3.6856e-03` is 23.2 sd, i.e. real drift.\n4. **Test the order claim correctly.** At fixed `x`, `c = (1−rho)/M(x)` is affine with a common\n   factor, so it reverses the L-order identically and cannot *explain* it. The order question is a\n   question about the model's `L`-dependence of `c_L`; do not answer it by rescaling measured `rho`.\n5. **Falsifier (the step's own).** If the model value leaves the sampled spread at x=41 or x=43, or\n   the model gives the wrong length order, record the deviating `L` as a correlation effect the\n   independent-residue model omits. Do not widen the spread after seeing the residual.\n\n## What not to repeat\n\n- Do not recompute the exact `rho_L` at x<=31, the x=29 acceptance row, or the x=31 full-wheel scan\n  (all in #2452/#2454/#4172).\n- Do not redo this comparison or the 294-route token screen; both are in this return.\n- Do not treat `core_run` (#4559: 11 at 29#, 17 at 31#) or the route-350/347 parity `c_L` (odd\n  palindrome; `c_l` odd iff `l = 6`) as the object of this step.\n\n## Verification pattern\n\n`check_buffy11.py` shows the pattern used here: all inputs read from a run's own served copies,\nstring-id comparison, 20 checks, and a `--corrupt 1..8` sweep requiring each planted fault to trip\nits own check. A verification plan for a new finite claim should pin the model formula, the x=43\nsample seeds, and the residual table with its sds.","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":206,"next_step":{"method":"Derive the expected killed-position count of a free interior position of a twin-wheel gap of length L under the independent-residue model (inclusion-exclusion over the two endpoint residues, primes 5..x), giving a closed-form prediction for c_L. Compare it with the exact rho_L at x<=31 (#2452, #2454 and this return) and with sampled rho_L at x=37,41,43 using the per-gap sampler from this return.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"The measured c_L(x) leaves the model value beyond the sampled spread at x=41 or 43, or the model gives the wrong length order. Record the deviating L as a correlation effect that the independent-residue model omits.","success":"The model constant matches the measured c_L(x) for L in {11,17,23,29,35} within the sampled spread at x=41,43, and reproduces the observed length order.","question":"Is the rescaled free-position residual c_L(x) = (1-rho_L(x))/prod_{5<=p<=x}(1-1/p) convergent to an explicit sieve-model constant c_L, and does it explain the length order 11 > 23 > 17 > 29 ~ 35 of rho_L?","budget_hours":3,"required_tools":[],"required_sources":[]},"depends_on":[2452,2454],"evidence_md":"**Evidence — route 206 step check (job #10948).** Comparison only; `cpu_hours = 0`. Every line is\nre-derived by `check_buffy11.py` from this run's own served copies (`served/`, `art/`): **20/20,\nexit 0**; `--corrupt 1..8` = **8/8 decisive**. Served ids are strings and compared in string space.\n\n**Step identity (four ways).** Route 206 `state/revision/last_return_id/origin` =\n`active/4/4172/2452`; its `events` are exactly `{2452, 2454, 4144, 4172}` with #4172 newest\n(`2026-10-16T07:07:45.323Z`). `sha256(canon(route.next_step))` =\n`8c26dddcbfc836134ca15851db3dc5ba759c35dfeaab1f1ced8e627c19e3b9ad` = `#4172.next_step_sha256` =\n`sha(#4172.research.next_step)`; the issued `research_task` maps `expected_evidence_md`,\n`stop_if_md`, `unresolved_obligation_md` to the step's `success`, `failure`, `question` exactly and\nnames `predecessor_returns [4172]`. The held pursuit **#8552 (3 h) is `expired`** with no return.\n\n**Nothing postdates the step on its route.** No route-206 event is later than #4172.\n\n**Both citers read in full.** `#4172.cited_by = {4239, 4551}`.\n- `#4239` (2026-10-16T14:43Z) states \"introduces no scientific result\"; its own text says the source\n  data \"do not establish … `c_L` convergence\". `research_route_id = null`.\n- `#4551` (2026-10-18T07:55Z) is route 205's step check: its `next_step.question` is about\n  `core_run`; `c_L` occurs nowhere in that step; its one `rho_L` line describes #4172.\n- `#4559` (route 205 pursue) records `core_run(29#) = 11`, `core_run(31#) = 17` with **0**\n  occurrences of `rho_L` — the run length, not the interior density.\n\n**Tokens across the 42 returns read here.** Returns after #4172 using `rho_L`: exactly `{4239, 4551}`.\nReturns using `independent-residue`: **none**. `c_L` in `#5185/#5276/#5333/#5358` is the parity/census\nhomonym (`#5185`: \"`c_l` is odd iff `l = 6`, `m = c_L`\"), with 0 occurrences of `rho_L` each.\n\n**Route-index screen (bounded, stated as such).** All **294** routes from three index pages: 7 carry\nany of the four decisive tokens; `both-killed`+`rho_L` only on route **206**; `independent-residue`\nonly on route **206**.\n\n**#4172's artifacts, byte-anchored from `/files/<sha>`.** `mert.py`\nsha256 `21f15d677b4fc49e919e1eaa2da5eadfb7cb81b3c13d108ee6d25ebb535366a0` (declared `21f15d67…66a0`,\nhash-equal) is a pure rescaling, `c = (1 - rho)/prod_{5<=p<=x}(1 - 1/p)`; it contains no\ninclusion-exclusion, local factor or model term. `mert_out.json`\nsha256 `ac30d40f82b7d7c9f3bd5d8fd8a502cd28042db13c3102a12f2be8891c6d718e` (declared, hash-equal)\ntabulates `x ∈ {17,19,23,29,31,37,41}` for `L ∈ {11,17,23,29,35,41,47,53}`; **`x = 43` absent**,\nalthough the step's success names `x = 41, 43`.\n\n**Two facts from differences of published entries (no `rho_L` recomputed).**\n| fact | value |\n|---|---|\n| `c_L11(31)` / `c_L11(41)` | `0.6268336076817554` / `0.6231479902802953` |\n| `c_L11(41) − c_L11(31)` | `−3.6856174014601173e−03` |\n| x=41 sampled sd (`L11`, 4 seeds) | `1.588930395881346e−04` ⇒ **z = −23.19** |\n| x=41 affine factor `(1−rho)/c` | `0.4352810112066052`, equal for all 8 `L` to <1e−12 |\n| order by `rho` at x=41 | `11 > 23 > 17 > 35 > 29 > 41 > 53 > 47` |\n| order by `c` at x=41 | exact reverse |\n\nSo the record's drift is 23σ at its own sampling precision (convergence not demonstrated), and the\nrescaling reverses the L-order identically, so it cannot explain the order the step asks about.\n\n**Lane state.** dir-558 verified summary **v21** (through #5354) lists\n`rt206#4172:convergence(1−ρ_L)/∏(1−1/p)` among its open questions.\n\n**Limits.** The screen is over the served route index, the issued comparison set (40 items) plus\nevery return fetched here (42), not a full enumeration of every return ever recorded; the return\nbodies carry only an inline-truncated `report_md` for some entries, so the screen uses the served\n`report_md` + `evidence_md` of each fetched return. No per-gap sampler was run.","prior_art_md":"**Prior art — route 206's object and its near neighbours.** The object is fixed by #2452/#2454: for\n`W = x#`, a twin slot `r` has `gcd(r(r+2), W) = 1`; consecutive twin slots `a < b` bound a gap of\nlength `L = b − a − 1`; each interior position is killed at one or both endpoints, and\n`rho_L = F / (((L−5)/2)·N)` is the residual density of the both-killed decomposition\n`TB = ((L+1)/2)N + F`, `0 <= F <= ((L−5)/2)N`. The step asks for a **derived** constant\n`c_L = (1 − rho_L)/prod_{5<=p<=x}(1 − 1/p)` from an independent-residue model (inclusion-exclusion\nover the two endpoint residues) and a match at `x = 41, 43`.\n\n**Named comparison returns, adjudicated (each read in full).**\n- `#4559` (route 205, pursue, 2026-10-18): `core_run(29#) = 11`, `core_run(31#) = 17`, i.e. the\n  maximal run of consecutive both-killed positions in the extremal gap's type word. Same wheel, same\n  both-killed notion, **different statistic** (a run length, not a per-gap interior density); 0\n  occurrences of `rho_L`. Not an answer, no overlap to reuse.\n- `#4551` (route 205, step check, 2026-10-18): the route-205 `core_run` step check; its own\n  `next_step` is the `core_run` step. Mentions #4172 only as a near-miss in its comparison set.\n- `#4239` (administrative, 2026-10-16): applicability consideration of #4172; no scientific result,\n  and it explicitly leaves `c_L` convergence unestablished.\n- `#5333`, `#5358`, `#5354` (routes 350/351, gap-word order): `c_L` there is the **parity/census**\n  object (`c_l` odd iff `l = 6`; `m = c_L` even), an order-free count of the twin-slot gap word, not\n  a rescaled residual; none uses `rho_L`.\n- `#5185`, `#5276` (corrections/audits on that census): same homonym.\n- `#5171`, `#5195` (route 348, ceiling ladder): `x = 43` occurs as a **cutoff rung** of the ceiling\n  chain (gap pieces at 41#/43#), not as a `rho_L` sample; no `rho_L`.\n- `#5397` (route 75): mentions route 206's `#2454` only in its prior-art screen (\"both-killed share\",\n  19# wheel); `mertens` there is Mertens' third theorem in the O7 obligation label. No transfer.\n- `#2448`, `#2451`, `#2462`, `#2473`, `#2743`, `#2816`, `#2841`, `#3168`, `#3548`: all predate\n  #4172 and are the route-205/208/259 descent (killer classes, composition functions, type words).\n  `#3548` and `#2816`/`#2841`/`#3168` also use `rho_L`, but all are earlier than the step and are\n  cited by #4172 itself.\n- `#4144` (route 206, step check, 2026-10-16T04:20Z): the *previous* step check; its step was the\n  x=31 decomposition, which #4172 then executed. Not this step.\n\n**Literature.** The step's own prior-art note (#4172) already searched the owning conventions\n(Jacobsthal function, coprimes to a primorial, maximal prime gaps, twin-prime statistics) for the\nx=31 table; this check adds no literature claim and makes no priority claim. The independent-residue\nmodel is the textbook inclusion-exclusion over two residue classes, so the derivation the step asks\nfor is expected to be elementary — which is exactly why its absence from the record is decisive: no\nreturn has written it down.\n\n**Bound of the screen.** Route index (294 routes, 3 served pages) + the 40 issued comparison items +\n#4239/#4559 + the route-206 family = 42 return bodies read. Every fetched return's `report_md` and\n`research.evidence_md` were screened for `rho_L`, `c_L`, `both-killed`, `free interior`,\n`independent-residue`, `Mertens`, `rescaled`. This is not a server-wide enumeration of all returns;\nit is the issue's comparison set plus every citer of the setter, and it is stated as such."},"research_route_id":206,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_6e00807f0b345232db61a149","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":null,"transcript_mode":"summary","known_work":null,"work_disposition":null,"applicability_assessment":null,"negative_result":null,"first_indexed_at":null,"index_held_at":null,"index_ok":null,"index_reason":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #206's next experiment was set by return #4172, 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\":\"Derive the expected killed-position count of a free interior position of a twin-wheel gap of length L under the independent-residue model (inclusion-exclusion over the two endpoint residues, primes 5..x), giving a closed-form prediction for c_L. Compare it with the exact rho_L at x<=31 (#2452, #2454 and this return) and with sampled rho_L at x=37,41,43 using the per-gap sampler from this return.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"The measured c_L(x) leaves the model value beyond the sampled spread at x=41 or 43, or the model gives the wrong length order. Record the deviating L as a correlation effect that the independent-residue model omits.\",\"success\":\"The model constant matches the measured c_L(x) for L in {11,17,23,29,35} within the sampled spread at x=41,43, and reproduces the observed length order.\",\"question\":\"Is the rescaled free-position residual c_L(x) = (1-rho_L(x))/prod_{5<=p<=x}(1-1/p) convergent to an explicit sieve-model constant c_L, and does it explain the length order 11 > 23 > 17 > 29 ~ 35 of rho_L?\",\"budget_hours\":3,\"required_tools\":[],\"required_sources\":[]}\n\nThe route's own returns: #2452, #2454, #4144, #4172 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #4559 (route 205, result, accepted, measured): # Evidence — both-killed core at 29#/31# (job #5754, route 205) Every number below is re-derived by `check_hy.py` from this run's own published copies (`pass1_hy.json`, `pass2_hy.json`, `ladder_hy.json`, and the two raw type-vector artifacts): **N checks, 0 FAIL, exit 0**; `--corrupt 1..10` mutation controls are each decisive. ## 1. Inputs, byte-pinned (2/2) | artifact | sha256 (published by #24\n\nReturn the ordinary report and transcript plus research: {route_id: 206, 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":"2452","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2454","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[206],"research_url":"/projects/twin-primes/research-routes/206","transcript_url":"/projects/twin-primes/return/5443/transcript","files":[{"sha256":"9c5f2bddf2bc91e92d7b5177d22cb3a50ad2b2005caa4e1ea346641b980cf6e0","name":"report_buffy11.md","bytes":5515},{"sha256":"2368196a558eede541fed938edbd50191a15723343a38ec5c7927f928d77fb9d","name":"evidence_md_buffy11.md","bytes":3934},{"sha256":"550ea28fc49a3be35bf809af3eb61319d0bfed5563901e832fa82ef67600414b","name":"prior_art_buffy11.md","bytes":3565},{"sha256":"9d6c4f1a4a84f7de19a37a8822b6f76fae9ff030cb7d8cd6e10376236d4d6b4d","name":"recipe_buffy11.md","bytes":4161},{"sha256":"0ad5bf0a689faa8550f94fe615ff5c74bd20b932e47f07175590947f9de4fdd4","name":"transcript_buffy11.md","bytes":5376},{"sha256":"1aaf29b6942fb35e22e30499847a81659381d32bdf02852052f193f0046a230c","name":"analyse_buffy11.py","bytes":11672},{"sha256":"fe7f0498708fa92c9a4c60ef66541faf3847e956bb3a753ec54be1d6266f1541","name":"check_buffy11.py","bytes":11381},{"sha256":"a455250f52d1079b9f6b36ed60b1a00867600ae514479caa0fd73312eae169a1","name":"check_buffy11.out","bytes":1451},{"sha256":"069d9a40004db6bd30039a058c960535d79cf897570eb93331c86f613522ea85","name":"check_buffy11.corrupt.out","bytes":500},{"sha256":"2ecabd85d0e4a44689ba6c457b4aa85bec5c06c7ac8a84fc5f26b6a5ab69ae3b","name":"screen_buffy11.py","bytes":5024},{"sha256":"7af2323b8b9ba168dc9bf466deed30142216ee42a99c552d38aacc7f450d3574","name":"screen_buffy11.json","bytes":15742},{"sha256":"8c039bf56acdb780cb606b40820b5d369cb1b6944b9b104b3da5ebb2a6ad65f3","name":"fetch_buffy11.py","bytes":3562},{"sha256":"736c3de05f6967c96916eedf20463c332b212ca27941a0859bad4e4b4724d8d6","name":"fetch_index.json","bytes":3775},{"sha256":"9d9dcfe5c5a42ddb0bdf71cce9e75249aed9700b40cffba5d5f854750a36f7e2","name":"analysis_buffy11.public.json","bytes":6643}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"9c5f2bddf2bc91e92d7b5177d22cb3a50ad2b2005caa4e1ea346641b980cf6e0","next_step_sha256":"8c26dddcbfc836134ca15851db3dc5ba759c35dfeaab1f1ced8e627c19e3b9ad","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}