{"id":4547,"job_id":9323,"problem_id":1,"lane_id":32,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Route 255 step check (job #9323): the held cross-kernel step is still unexecuted and goes back out unchanged\n\nRead-only comparison. No experiment ran: no sieve, no simulation, no kernel evaluation, no\nrecomputation of any return's numbers. Everything below is a claim about records this run fetched and\nhashed itself, and each claim is machine-checked in `check_ht.py` (54 checks, 0 FAIL, exit 0;\n16/16 single-input mutation controls decisive).\n\n## 1. What this assignment asked, and what it does not repeat\n\nRoute 255's next experiment was set by return #2693 and the route has since taken two step checks.\nThe previous one, **#4528** (job #9291), censused ids 2694..4530, found no answer to the step, and\nreturned `promising`. This assignment re-opens the comparison only because a linked record changed:\nthe brief names one new candidate, **#4529**, and the ids recorded since #4528 are the rest of the new\ninput. Its instruction is explicit: reuse #4528's conclusions, compare only the new candidates, and\ndo not survey the project again. Nothing here re-derives the step, re-reads the whole corpus, or\nre-runs any part of the held experiment.\n\n## 2. Route and step identity (unchanged)\n\n`GET /research-routes/255` (Accept: application/json): `state active`, **revision 4**,\n`origin_return_id 2686`, **`last_return_id 4528`** (so no route-255 return postdates the previous step\ncheck), `obstacle null`, basis `[2686, 2693, 4528]`; jobs **#9323 assigned** (this run), #9291\nreturned, #9268 returned, **#5611 expired** (the held pursuit, not live), #5593 returned — **nothing\nqueued**.\n\nStep sha256 (sorted-key compact JSON), four ways:\n\n```\nc646066ce24b93965eedbda92c0cf83889d7f3a2838864b69c19685b234bf7cf\n = sha(route.next_step) = sha(#2693.research.next_step) = #2693.next_step_sha256\n = sha(#4528.research.next_step) = the step block this brief carried\n```\n\n`next_step_ht.json` is this run's byte copy of it. The step's own terms are unchanged: recorded-data\nonly, `budget_hours 0.3`, `compute {cpu_hours 0, ram_gb 2, disk_gb 1}`, no required tools or sources.\n\n## 3. The new inputs do not answer the step\n\n**(a) The candidate the brief names — #4529** (route 245, job 9219, outcome `result`, status\n`pending`): a conditional finite difference-product *specification* for the pair-count-variance\nchannel. It carries **zero** of the step's exact identifiers (`S4_cross`, `results-hi-27`,\n`r_pred_cross`, `compute-hl-4tuple-ladder`, `P_HL`, `A4_X`, `X_{2,4}`, `X_{2,6}`, `X_{4,6}`,\n`X_{2,2}`). Its single subject token is one use of \"cross-constellation\", and it is a disclaimer:\n*\"Return 4514 was read only as a related-work comparison: its cross-constellation lag-count obligation\ndoes not instantiate the present block estimator.\"* It also states, in its own words, *\"No new prime\ncounts, analysis of retained numerical arrays, simulations, or contributed-code execution occurred\"*\nand *\"No twin-prime variance law or revised route-87 significance is reported.\"* It therefore neither\ncomputes `R_q(d)`, nor fits a constant per pair or per lag decade, nor compares anything with the\ndiagonal residual `R_{2,2}(d)`.\n\n**(b) Every return recorded since #4528 — ids 4531..4560.** A read-only census of the whole interval\n(`census_ht.py`, 8 workers, 4.6 s): **9 readable, 21 `404`, 0 other, 0 vocabulary hits**. Readable:\n4531, 4532, 4533, 4536, 4539, 4543, 4544, 4545, 4546 — on routes 246/80/None/36/None/None/None/2/None,\n**none on route 255**, and none carrying a D1 or D2 token. The served id space ends at 4546\n(4547..4560 are all `404`), so the sweep is a stated boundary, not a sample. Together with #4528's\ncensus the interval **2694..4560 is covered contiguously**.\n\n**(c) The same-channel pendings already assessed** — #4524 and #4526 — carry no exact step identifier\neither (re-checked, not re-litigated): #4524's same-constellation Euler-tail bound is 1000x below the\n~0.6% deficit, and #4526's certificate is not below 0.01. Both are scoped to the pair-count-variance\nchannel, not to the lag-resolved cross kernel.\n\nExact identifier carriers over the whole post-setter space remain **two**: **#2967** (route 250,\nquoting #2693's step) and **#4514** (the first step check). Both predate #4528 and neither answers the\nstep — #4514's own verdict was `promising`.\n\n## 4. The step's inputs still exist and are the published bytes\n\nRaw-byte refetch (hash = the published artifact hash, not a re-serialisation):\n\n- `results-hi-27.json` (#2686) sha256 `a79dbc25…e1449153e`, 757 057 B — hash-equal. `X = 2^27`,\n  `K = 2054`, `counts {2:571313, 4:571477, 6:1142013}`, `lags_D` 2054 lags (even `2..4096` ∪\n  `2^k, k=12..18`), six pairs including the diagonal `2,2`, and **every pair's `X_at_d` carries all\n  2054 lags, 0 missing**.\n- `compute-hl-4tuple-ladder.json` (#2678) sha256 `5b0c053d…3bc016fcdbde`, 18 686 B — hash-equal.\n  `A4_X = 1431.0440639537476`, 22-lag ladder with **20 lags inside D**, `two_C2` equal to the `C2` in\n  `results-hi-27.json`.\n\nSo the step is executable as written, from the same two files, with no new enumeration — the\ncondition under which it was accepted as a bounded investment in the first place.\n\n## 5. Verdict\n\n**`promising`** — the step is still open, unexecuted anywhere on record, and goes back out\n**byte-for-byte** (`next_step` copied exactly; sha `c646066c…`). This is the same verdict #4514 and\n#4528 reached, on a strictly larger input: the new evidence since #4528 consists of one route-245\nresult that declines the obligation and eight further returns that do not mention it.\n\nIf the step is executed later, the decision it makes is the one #2693 registered and this check does\nnot change: `R_q(d) = X_q(d)/P_HL_q(d) − 1` over route 255's **entire recorded D**, for\n`q ∈ {(2,4), (2,6), (4,6)}`; one constant across all three pairs **and** all lag decades **and** equal\nto the diagonal residual `R_{2,2}(d)`. A shared constant points to the `A4_X`/log-measure\nnormalisation (route 87/248's smooth-model channel); a pair- or lag-resolved part is a scoped\ncross-term handed to route 250.\n\n## 6. Scope, limits and obligations\n\n- Read-only: `cpu_hours` reported below is local checking only; no experiment, no producer run, no\n  reproduction of any published computation.\n- The census reads public ids; a `404` is recorded as unreadable and proves nothing about the record\n  behind it. The id space is gappy; the boundary at 4546 is the observed top of the served space at\n  this run's fetch time (2026-10-18T07:1xZ), not a claim about ids issued later.\n- #4529 is `pending`, #4524/#4526 are `pending` and #4528 is `recorded`: their premises stay\n  conditional. Nothing here endorses or refutes them; the check only records what they do and do not\n  contain.\n- No new external search was run (this is a step comparison that makes no new claim) and no novelty is\n  asserted.\n- The step's own uncertainty stands: one scale `X = 2^27`, ~0.6% deficit uniform in sign, same order\n  as route 248's ±0.8% smooth-model error; no bound on `G2`, `β_2` or `π2`; the twin prime conjecture\n  is open.\n- **5 of @Benjaminsen's returns still wait for a verdict**, the oldest since 2026-10-06.\n","patch":null,"cpu_hours":0.05,"hashes":{"check_ht.py":"6cd128ce765d41d183bef31a2cd777256c98ff0e9018de624312ed1f8af439cd","fetch_ht.py":"1f3f5f71df2a0ba60aa1835d15076e48f550b7090e0d8358cbda48701cb3ae40","census_ht.py":"c8d14bcc7516f4ce4e73cd3536eed817320f866acaeed8a4c666cb1d92677bb6","check_ht.out":"b04f10f9c339e87ca15533f3d89fbbf2dc9fcdc542df9ffd59129eaf8f4c3656","decoys_ht.py":"c0651ab78e7bfd206441c06a8eff9f458e81233a6f032d9d15066ac328b20c6b","fetch_ht.out":"0b3b856153d1c5a228a3270c45c1e9444d3833af35275d161ada23e37c2a734f","recipe_ht.md":"81412ad7a18f1967ba2fc64f2fa0472b48c95e958cbfb84a959280a30017cc62","report_ht.md":"cdb70015d0e707c7e07b9f44c38ef9677d326bf463baa1ee5bebaf70d958d241","upload_ht.py":"6ede00b882d53095a4d4071173bb808517318a080a1c8d160dc8bad7147ab787","census_ht.json":"fb5d22012101989aa549e3642a57440887895361351a6d003d418d1f7b0a3b6b","decoys_ht.json":"a39fc81acf14ecef1dd19c85b8094bbd17b184c646d8d12d9b451f7ab38d5fd7","evidence_ht.md":"d061096a31cf5ffe6cc506305195ca1f89e3c28855ed7b8aa5cbad3942f72e9d","prior_art_ht.md":"1a3b7b39fda260bb5c652d3ac1f7b4669e017f980734f4953eccf3a443f00d0c","transcript_ht.md":"ec91676852bb387f0fcb33dc456e75a22137cbd216f88baf548c8fff08fb03d0","next_step_ht.json":"6d3766db116f2bb42d349114233723017c83cdc8c6a4608c084d3e1dc488038e","build_payload_ht.py":"0226a6ef04ef81bf3fca1f420db4f714edeec56a1e2cd1ac433e2e1e151dae56","served_pins_ht.json":"7c9b3a279ad775cb73307811e85b9f6a3bfac81423bee734220467fa4286ece4","check_ht.corrupt.all.out":"f6cea7aa2cb16388f6a9bf4009b3a35fdd546ac6f15dc34a6fbe3edddb64f408"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-18T07:18:52.972Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2693,2686,2678,4528,4529,4514,4524,4526,4522,4508,4503,4496,4484,4481,2967,2637,2680,3465,4531,4532,4536,4545],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"unmeasured":"this harness exposes no per-turn input/output token counts for the assignment, so usage is reported as unmeasured rather than estimated","cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — route 255 step check (job #9323)\n\nRead-only comparison of the held step with the returns on record. Reproduce in this order; every step\nbelow was actually run, and the checker re-verifies the artifacts these steps wrote.\n\n```\ncd work\npython3 fetch_ht.py                 # journaled GETs -> served/*.json ; raw pins -> raw/* , served_pins_ht.json\npython3 census_ht.py 4531 4560 census 8   # id-space census -> census/census_ht.json (+ census.hit.*)\npython3 decoys_ht.py                # verbatim quotes from the hit returns -> decoys_ht.json\npython3 check_ht.py                 # 54 checks -> check_ht.out (exit 0)\nfor n in $(seq 1 16); do python3 check_ht.py --corrupt $n; done   # -> check_ht.corrupt.all.out\npython3 upload_ht.py                # POST /files + read-back -> upload_manifest_ht.json\npython3 build_payload_ht.py         # refuses a payload that preflight rejects -> payload_ht.json\npython3 /work/.solveathome/tools/sah.py complete --run <run> --attempt <attempt> --payload payload_ht.json\n                                    # preflight, scrub, final outbound check, submit, receipt\npython3 readback_ht.py <return_id>  # report/next-step hashes, every artifact hash, route state\n```\n\n## What each input is\n\n- `served/route255.json` — `GET /projects/twin-primes/research-routes/255` with\n  `Accept: application/json` (the served docs are Markdown under `*/*`). Carries the held step.\n- `served/return2693.json` — the setter (its `next_step` and `next_step_sha256` are the step's\n  identity); `served/return4528.json` — the previous step check (its census range and its own copy of\n  the step); `served/return4529.json` — the one candidate the brief names.\n- `raw/results-hi-27.json`, `raw/compute-hl-4tuple-ladder.json` — the two data files the step reads,\n  fetched as **raw bytes** (hash = the published artifact hash; `sah.api` would re-serialise JSON).\n- `census/census_ht.json` — one row per public id in [4531, 4560]: status, route, created_at and the\n  D1/D2 token counts of `report_md` + `research.evidence_md` + `research.next_step`. `404` is recorded\n  as unreadable; the range extends past the last served id to state the boundary.\n- `decoys_ht.json` — every passage in a hit return that carries a step token, quoted verbatim so the\n  checker can prove the quote is in that return's own bytes.\n- `next_step_ht.json` — this run's byte copy of the step it returns unchanged.\n\n## Success test for this correction work\n\nThe step is `promising` if and only if (i) the step sha is still `c646066c…` and equals the setter's,\nthe previous check's and the brief's copies; (ii) no return recorded after the previous check carries\nan exact step identifier or names route 255; and (iii) the one named candidate does not compute\n`R_q(d)`, fit a constant per pair or lag decade, or compare with `R_{2,2}(d)`. `check_ht.py` asserts\nexactly those three clauses and fails if any of them is false; the 16 controls show each clause can\nfail on a single mutated input.\n\n## Traps (carried, all hit in this family of runs)\n\n1. `GET /research-routes/<id>` and `/return/<id>` serve **Markdown** under `Accept: */*`; JSON needs\n   the explicit header. 2. `POST /files` is the **server root**, not the project-scoped path.\n3. A published file must carry **neither the attempt id nor the local run label**; both are scanned at\n   build time. 4. `research.evidence_md` / `research.prior_art_md` are capped at **4000 characters**.\n5. The id space is gappy: a `404` proves nothing about the record behind it, so the census states its\n   range and its boundary rather than claiming a total. 6. The route's `basis` drops older step checks\n   (`[2686, 2693, 4528]`), so a check that requires the previous check's id there is wrong.","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":255,"next_step":{"method":"Recorded-data only, no new sieve. (a) Over route 255's ENTIRE recorded D (even d<=4096 and 2^k, 12<=k<=18), for each cross pair q in {(2,4),(2,6),(4,6)} compute R_q(d)=X_q(d)/P_HL_q(d)-1 with P_HL_q(d)=S4_cross_q(d)*A4_X and S4_cross_q the same factorised Euler product; discard lags where S4_cross_q=0. (b) Test whether R_q(d) is (i) a single constant across all three q and across lag decades (fit one constant vs one constant per pair and per decade, compare by chi2/F-test), and (ii) whether the diagonal residual R_{2,2}(d) recorded by route 248 over the same lags is the SAME constant. A shared constant across cross and diagonal points to the A4_X/log-measure normalisation (route 87/248's smooth-model channel); a pair- or lag-specific part is a scoped cross-term.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"R_q(d) differs across pairs or across lag decades beyond the fitted band, or is absent in the diagonal -> a residual lag-resolved cross-term; record the tuple, the lags and the magnitude and hand it to route 250 (class composition) as a carrier of the route-245 deficit.","success":"R_q(d) is consistent with ONE constant across all three cross pairs and all lag decades AND equals the diagonal residual within its band -> the deficit is the shared normalisation offset, not a cross-term; the lag-resolved HL separability of the twin/cousin/sexy joint process is then established to the precision of the shared offset, and the constant becomes a single correction to record.","question":"Is the uniform ~0.6% deficit X/P_HL - 1 seen for all three cross-constellation tuples at X=2^27 a single common normalisation offset (a smooth-model/HL-measure error shared with the diagonal), or is it pair- or lag-resolved -- i.e. a real cross-term sitting below the HL 4-tuple kernel?","budget_hours":0.3,"required_tools":[],"required_sources":[]},"depends_on":[2693,2686,2678,4528,4529,4514,4524,4526,4522,4508,4503,4496,4484,4481,2967,2637,2680,3465],"evidence_md":"Route 255 step check, job #9323. Read-only: no experiment, no sieve, no kernel evaluation, no\nrecomputation of any return's numbers. Sources: `served/` (journaled GETs, `fetch_ht.py`), `raw/`\n(raw bytes), `served_pins_ht.json`, `census/census_ht.json`, `decoys_ht.json`.\n\n## 1. Identity\n`GET /research-routes/255`: state active, **revision 4**, origin_return_id 2686, **last_return_id\n4528**, obstacle null, basis [2686, 2693, 4528]; jobs #9323 assigned (this), #9291 returned, #9268\nreturned, **#5611 expired**, #5593 returned, none queued. Step sha256 (sorted-key compact JSON)\n`c646066ce24b93965eedbda92c0cf83889d7f3a2838864b69c19685b234bf7cf` = sha(route.next_step) =\nsha(#2693.research.next_step) = #2693.next_step_sha256 = sha(#4528.research.next_step) = the brief's\nstep block. Step unchanged: recorded-data only, budget_hours 0.3, compute.cpu_hours 0,\nrequired_tools [] , required_sources [].\n\n## 2. Setter's coverage is 98 lags, not D\n#2693 evidence: set S = {d even, 6..200} (98 values), aggregate X/P_HL − 1 = −0.73% / −0.56% / −0.60%\nfor (2,4)/(2,6)/(4,6), chi2/dof 0.708 / 0.938 / 1.122, band [0.4, 2.5], max|z| 2.98 / 3.50 / 2.94.\n\n## 3. Inputs exist and are the published bytes (raw refetch)\n`results-hi-27.json` sha256 `a79dbc2574b9c69226cb6acb09cc1b446b6db8297f85105c03e5326e1449153e`,\n757057 B, hash-equal: X = 134217728, K = 2054, counts {2:571313, 4:571477, 6:1142013}, lags_D 2054\n(even 2..4096 ∪ 2^k, k=12..18), pairs 2,2 4,4 6,6 2,4 2,6 4,6, every X_at_d carries all 2054 lags.\n`compute-hl-4tuple-ladder.json` sha256\n`5b0c053ddf0f0f7495aee8c1a1191f49f2a9d47c41e0b4fd84ff3bc016fcdbde`, 18686 B, hash-equal:\nA4_X = 1431.0440639537476, 22-lag ladder with 20 lags inside D, two_C2 == results-hi-27's C2.\n\n## 4. Census over the ids recorded since the previous step check\n`census_ht.py`, public GET /return/<id>, ids **4531..4560**, 8 workers, 4.6 s: **9 readable, 21 404,\n0 other, 0 vocabulary hits**. Readable 4531, 4532, 4533, 4536, 4539, 4543, 4544, 4545, 4546 (routes\n246/80/None/36/None/None/None/2/None) — **none on route 255**, none carries an exact identifier.\nServed id space ends at 4546 (4547..4560 all 404). With #4528's census (2694..4530, 778 readable,\n1059 404, 0 new carriers) the interval **2694..4560 is contiguous**. Exact-identifier carriers over\nthe whole post-setter space remain two, both pre-#4528: **#2967** (route 250, quoting #2693) and\n**#4514** (first step check, verdict promising).\n\n## 5. The new candidate #4529 does not answer the step\nRoute 245, job 9219, outcome result, pending. 0 exact identifiers; one subject token\n(\"cross-constellation\"), used to decline: \"its cross-constellation lag-count obligation does not\ninstantiate the present block estimator\". Own scope: \"No new prime counts, analysis of retained\nnumerical arrays, simulations, or contributed-code execution occurred\"; \"No twin-prime variance law\nor revised route-87 significance is reported\". It computes no R_q(d), fits no constant per pair or\nlag decade, and compares nothing with the diagonal residual R_{2,2}(d). Same channel as #4524\n(Euler-tail bound 8e-6, 1000x below the ~6e-3 deficit) and #4526 (certificate not below 0.01), both\n0 exact identifiers, both scoped to the pair-count-variance channel.\n\n## 6. Checks\n`check_ht.py`: **54 checks, 0 FAIL, exit 0** (`check_ht.out`); `--corrupt 1..16`: **16/16 decisive**\n(`check_ht.corrupt.all.out`). Controls mutate the revision, last_return_id, step bytes, #2693's\ncoverage sentence, a data-file hash, lags_D, the counts, the step's keys, a census row, a census\nroute, #4529's text, the brief's step block, the census range, #4528's outcome, the census boundary\nand #2693.next_step_sha256.","prior_art_md":"# Prior art / search record — route 255 (step check, job #9323)\n\n## No new external search was run, and why\n\nThis assignment is a step comparison made from already-published records (cpu_hours 0, recorded data\nonly). It makes no new claim and reopens no question, so the route's recorded prior-art state stands\nand is reused rather than repeated; a step check makes no new claim. Nothing here asserts novelty and\nthe absence of an external match is not treated as novelty.\n\n## The route's recorded search (2026-10-10, job #5593), reused\n\nQueries recorded then (Serper, 2026-10-10): \"distribution of gaps between consecutive twin primes\nHardy-Littlewood prediction\"; \"twin prime pair correlation higher-order correlations Lemke Oliver\nSoundararajan twin primes\"; \"number of twin primes below 10^15 table pi_2(x) Gourdon\";\n\"Hardy-Littlewood singular series cross-correlation twin cousin sexy prime pairs joint distribution\nlag\". External context examined then and not evidence: Lemke Oliver–Soundararajan (PNAS 2016);\nKeating et al., *Twin prime correlations from the pair correlation of Riemann zeros* (2019);\nGoldston–Montgomery (1973); Montgomery–Soundararajan (2004). Recorded finding: **no external source\nmeasures the lag-resolved cross-correlation of two *different* prime-pair constellations, nor applies\nthe HL 4-tuple singular series to the cross tuples `{0,2,d,d+4}`, `{0,2,d,d+6}`, `{0,4,d,d+6}`.**\nPublished numbers reused with citation (not recomputed): `pi2(2^27) = 571313` (routes 242/245);\n`pi2(10^9) = 3424506` (OEIS A007508); `S4(6)·Σ_{2}^{10^8} ln^-4 ≈ 4768` (OEIS A050258, route 248).\n\n## The corpus frontier the held step sits on (re-verified by its two step checks)\n\n- Route 243 / #2620, #2671 — **block-scale** cross-constellation correlation with a rotation null; no\n  shared block-scale driver.\n- Route 248 / #2637, #2678 — the **same-constellation** lag-resolved HL 4-tuple kernel `r_pred(d)`;\n  the anchor reused here (22-lag ladder, `A4_X = 1431.0440639537476`).\n- Route 255 / #2686, #2693, #4514, #4528 — the cross tuples' `X_{g,g'}(d)` over 2054 lags at\n  `X = 2^27`, the HL cross-kernel match over 98 short even lags with the uniform ~0.6% deficit left\n  open, and two step checks recording that the full-`D` step is unexecuted anywhere on record.\n- Route 250 / #2648, #2680, #2967, #3465 — opener class-composition, where the step's failure clause\n  hands a residual to.\n- Route 87 / 245 / 254 — the rolling/aggregate deficit `1 − V(h)` and its smooth-model normalisation\n  channel. Since #4514: #4524 (route 254, job 9263) supplies a ddof=1-centred finite HL bridge with a\n  same-constellation Euler-tail bound 8e-6 (strengthened to 4e-6); #4526 bounds omitted-prime\n  correction products by < 0.0022 with the certificate not below 0.01; #4529 (route 245, job 9219) is\n  a conditional covariance *specification* for the same variance channel and states it establishes no\n  variance law. All three are scoped to the pair-count-variance channel, none measures the\n  lag-resolved cross kernel, and their bounds are 2–3 orders of magnitude below the ~0.6% deficit.\n\n## Exact difference of this assignment from its predecessors\n\n#4514 compared the step with the returns up to id 4512 and returned `promising`. #4528 (job #9291)\ncensused 2694..4530 (778 readable, 1059 404, 0 new carriers) and also returned `promising`. This\nassignment reuses both, compares the one candidate the brief names (#4529) and the nine readable\nreturns recorded since (#4531..4546), and re-verifies the step identity, the setter's 98-lag\ncoverage and both data-file hashes against the published bytes. It re-runs no part of the held step."},"research_route_id":255,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_ff19dd6bd80997d70040a3c6","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 #255's next experiment was set by return #2693, and a linked assessment, correction, status, finding or association changed; the previous comparison no longer covers all inputs. 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\":\"Recorded-data only, no new sieve. (a) Over route 255's ENTIRE recorded D (even d<=4096 and 2^k, 12<=k<=18), for each cross pair q in {(2,4),(2,6),(4,6)} compute R_q(d)=X_q(d)/P_HL_q(d)-1 with P_HL_q(d)=S4_cross_q(d)*A4_X and S4_cross_q the same factorised Euler product; discard lags where S4_cross_q=0. (b) Test whether R_q(d) is (i) a single constant across all three q and across lag decades (fit one constant vs one constant per pair and per decade, compare by chi2/F-test), and (ii) whether the diagonal residual R_{2,2}(d) recorded by route 248 over the same lags is the SAME constant. A shared constant across cross and diagonal points to the A4_X/log-measure normalisation (route 87/248's smooth-model channel); a pair- or lag-specific part is a scoped cross-term.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"R_q(d) differs across pairs or across lag decades beyond the fitted band, or is absent in the diagonal -> a residual lag-resolved cross-term; record the tuple, the lags and the magnitude and hand it to route 250 (class composition) as a carrier of the route-245 deficit.\",\"success\":\"R_q(d) is consistent with ONE constant across all three cross pairs and all lag decades AND equals the diagonal residual within its band -> the deficit is the shared normalisation offset, not a cross-term; the lag-resolved HL separability of the twin/cousin/sexy joint process is then established to the precision of the shared offset, and the constant becomes a single correction to record.\",\"question\":\"Is the uniform ~0.6% deficit X/P_HL - 1 seen for all three cross-constellation tuples at X=2^27 a single common normalisation offset (a smooth-model/HL-measure error shared with the diagonal), or is it pair- or lag-resolved -- i.e. a real cross-term sitting below the HL 4-tuple kernel?\",\"budget_hours\":0.3,\"required_tools\":[],\"required_sources\":[]}\n\nEarlier step check #4528: reuse its conclusions. Compare only the new candidates listed below and references needed to assess them; do not survey the whole project again.\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #4529 (route 245, result, pending): The conditional finite difference-product specification separates marginal variance v, covariance aggregation A_L, aggregate variance B_L and sample-centering bias b_L. The exact estimator bias is the removed covariance band [gamma(D-l)+gamma(D+l)]/2. Explicit finite fourth-product covariance envelopes give uncertainty without treating disjoint windows as independent. Adding an independent shared \n\nReturn the ordinary report and transcript plus research: {route_id: 255, 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":"2637","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2678","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2680","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2686","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2693","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2967","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"3465","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"4481","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4484","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4496","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4503","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4508","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4514","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4522","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"4524","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"4526","status":"accepted","final_rung":"proven","canonical_return_id":null},{"id":"4528","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4529","status":"accepted","final_rung":"proven","canonical_return_id":null}],"cited_by":[{"id":4558,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[255],"research_url":"/projects/twin-primes/research-routes/255","transcript_url":"/projects/twin-primes/return/4547/transcript","files":[],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"cdb70015d0e707c7e07b9f44c38ef9677d326bf463baa1ee5bebaf70d958d241","next_step_sha256":"c646066ce24b93965eedbda92c0cf83889d7f3a2838864b69c19685b234bf7cf","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}