{"id":4023,"job_id":8208,"problem_id":1,"lane_id":5,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #8208 — route 7 step check: the held step is not answered on record, and it is copied exactly\n\n**Decision.** `outcome: \"promising\"`. Route 7's held step (set by **#2167**, held pursuit job **#4765**)\nis still open: no return on this route or on a route linked to it answers it, and the step is well posed,\nnow runnable on this machine, and cheap enough. The step is therefore **copied exactly** as `next_step`\n(canonical sorted compact JSON SHA-256 `db3d7cf0812d4efb5bebc2bab6fe6b97bbd9108540e17dcdfa7d8a365a94e9d6`),\nso the held pursuit goes out with this note. Nothing here is a new mathematical claim: no LP was solved,\nno certificate was built, no published number was recomputed and no return's computation was reproduced.\n\n## The object and the step (custody)\n\n- **Route 7** rev 8, `state: active`, `last_return_id: 2167`, 8 events. Its returns are exactly\n  #372, #373, #379, #1844, #2035, #2056, #2159, #2167.\n- The issued step == route 7's `next_step` == #2167's `research.next_step` (one canonical hash `db3d7cf0…`,\n  which equals the served `next_step_sha256`, C01), and the job contract repeats the step's\n  `question`/`success`/`failure` **verbatim** as `research_task.{unresolved_obligation_md,\n  expected_evidence_md, stop_if_md}` (C02). The held pursuit #4765 carries `research_source_return_id 2167`,\n  `research_stage pursue`.\n- **Object** (frozen N52, p = 97): #1840's 200 disjoint supports `a = 9409 + 6007k`, Q = the 19 primes\n  101..193; the weighted frontier `n*`, the one-anchor (depth-1) frontier `n1`, and the integer frontier\n  `n_int = n_cov + 1`.\n- **The question**: are the 164 depth-1 certificates at their measured `n1` valid in #1840's `tree959`\n  format, and how much of the remaining weighted-to-integer gap does depth-2 conditioning close on the 40\n  supports of `ifront959.out`?\n\n## What the comparison set settles: nothing that answers the step\n\nThe brief's comparison set is the route's own 8 returns plus the three named linked returns\n(**#3992**, **#2261**, **#2182**), each read at its served bytes:\n\n- **#2167** is the **setter**: it recorded `progress` and wrote the step. Its own report is the step, not\n  an answer to it, and route 7 has **no return after #2167** (C04) — the route's step has been rewritten at\n  each return and never copied forward.\n- **#2056** (`result`) completed the census and **explicitly did not write per-support tree certificates**\n  (\"Tree-format certificates per support were not written\"; the producer discards weight content). Its\n  `census4587-all.json` reproduces the step's 164 (C05–C06): 200 supports, gain distribution\n  `{0:36, 1:98, 2:53, 3:11, 4:2}`, `n1 < n*` on **164**, 173 952 LPs, 1.55 CPU-h.\n- **#1844** supplies the instrument (#1844's `anchor975.py`) and the two served depth-1 certificates,\n  which PASS `checkcert959.py` at depth 1 (C10). Those are two premises to reuse, not the 164.\n- **#2035** and **#2159** (`promising`) are the two earlier route-7 step checks; both conclude the step is\n  open (the 2026-10-02 run was blocked by the absence of any LP solver).\n- **#3992** (route 4, `recorded`), **#2261**, **#2182** (route 1, accepted): finite chordal-budget and\n  route-4 root-policy work. None carries the step's text or shape (C12); none computes route 7's census,\n  depth-1 certificates or depth-2 scan.\n\nOutcome `known` is therefore unavailable, and nothing answers even part of the step, so `progress` would\ninvent a replacement. `promising` with the step copied exactly is the only supported outcome.\n\n## New, read-only findings the pursuer should carry\n\nThese follow from the served bytes (C05–C13); they change no claim of any return.\n\n- **NEW: one of the 164 required certificates is already served and checked.** `a = 9409` is in the 164\n  (gain 2) and its measured `n1 = 51` closes at anchor **109** — exactly #1844's served\n  `tree975-51-109.cert.jsonl`, which PASSes `checkcert959.py 9409 51 …` at depth 1 (C10–C11). So the step's\n  clause (1) is **163 fresh certificates**, not 164, and 1 of them needs no regeneration.\n- **NEW: the depth-2 target is a stated 79 slots, not 134.** #2056 measured depth-1 closing **55 of the\n  134** weighted-to-integer gap slots over the 40 supports (C07–C08); the remaining gap for depth-2 is\n  `134 − 55 = 79` slots, i.e. `sum(n1 − n_int)`. Two supports already sit at `n1 = n_int` (C08).\n- **The step's indices are exact.** `census4587-all.json`'s 164 and `ifront959.out`'s 40 are literal:\n  200 supports `a = 9409 + 6007k`, the 40 being `k = 0..39`, `a = 9409..243682` (C05–C07).\n- **`compare4587.out` is labelled wrongly.** Its header says `a n* n1 n_int` but each data row prints\n  `a n* n_int n1`; cross-checked against `census4587-all.json` (`n1`) and `ifront959.out` (`n_cov+1`)\n  for all 40 rows (C08). #2159/#2167 note this; it is corroborated here so the pursuer reads the columns in\n  source order.\n- **The #2167 format clause is a finding, not a task.** #2167's report already states the records are\n  \"already in #1840's tree format and need no format change\"; only `anchor975.py`'s write guard\n  (`cnt['STRICT']==ANCHOR`) and a per-support loop are missing.\n- **The old blocker is gone.** #2167 ran on 2026-10-02 when this machine had no LP solver. `scipy 1.11.4`\n  (`linprog(method='highs')`) plus numpy 1.24.2 now sit in `.solveathome/tools/pylibs`; `checkcert959.py`\n  is stdlib. (Note for the pursuer: `anchor975.py` also imports #370's `route4-weighted.py`, renamed\n  `r370-route4-weighted.py` locally, so that served file must be present too.)\n- **A distinct cross-route object exists.** #3992 records that `ifront959.out`'s 40 supports are the *same\n  40 support/prefix pairs* as #3736's route-4 census (`certs_manifest_ci.tsv`, range 9409..243682) — but\n  those are **depth-cap-8 integer-frontier** certificates, a different object from this step's depth-1\n  `n1` trees and depth-2 scan (C13). Reuse them only as a control, not as the answer.\n\n## Why the step is worth the pursuit\n\nThe step is sound and bounded: #2056 priced it at 1.5 CPU-h for the census and the depth-2 pass is a\nsecond, capped scan on only 40 supports; #1840's format and checker are served and pinned; and the\nessential inputs (`census4587-all.json`, `ifront959.out`, `anchor975.py`, `checkcert959.py`) all hash to\nthe values their returns declare (C09). The `compute.cpu_hours 0` hint is a hint, not a limit; the pass\nshould record its actual LP counts and timings per decision.\n\n## Not claimed\n\nThat the 164 certificates check; that depth-2 closes any further slot or saturates at depth 1; that the\ncensus, gap or frontier numbers are correct beyond their calibration grades; that #3992 or #3736 bear on\nthis step; anything about `G2`, `β₂`, uniform growth or twin-prime infinitude. No number published by any\ncompared return was recomputed; only the served artifacts' own contents were re-read.\n\n## Evidence and the machine-checked check\n\n`check_dj.py` (stdlib, offline, no producer import, no solver) re-derives C01–C13 from the served bytes in\n`served_dj/` and this run's `issued.json`; `check_dj.out` shows **13/13 PASS, exit 0**, and\n`check_dj.corrupt_exit.txt` shows thirteen single-fact sabotage runs, each exiting 1 with a named FAIL.\n`served_dj/` files are the read-only fetches listed in `fetch_dj.json`; every fetched core artifact hashes\nto the sha256 its own return declares (C09).\n\n## Cost\n\n0.05 CPU-h (read-only fetches, arithmetic on served bytes, and the offline checker). No LP, no certificate\nconstruction, no census rerun.\n","patch":null,"cpu_hours":0.05,"hashes":{"tree959.py":"ad236e224d91200b0c27bff8eeae94316e62d0faf22c16e5901442642ee2f106","check_dj.py":"676942be5364a590ded0c485af06c307a4351b8d387cb4de0e8f2be81775fce3","fetch_dj.py":"27f7dfe730e23e7c6feaeeeff37154acdd33e1415f0118780847c69d5f1f90a7","route7.json":"46b50948e148d2bd80afdb3da53776025800d0b3a9542ba133ff4359e6158b43","anchor975.py":"bab3212d656a52ccd0739f6f49442da973478722c4691d1218d3ab93596add8c","check_dj.out":"de36c000b073afbdbdc08bd98f2a9de6d4a77eb1e562c1b4adf200f183fe1637","ifront959.py":"7dbfd023e209b4ffe711ee7c67d9ec3b235cd8143190b84a4e0675d2484b1c90","job4765.json":"dcc607240bafa38b750bb581d2c113be3100cfcab7da376449f9178f1fb420ca","job8208.json":"547f3b5066ff828cfc958e5075d7fb67d72cc81a656c42605f224beb16e5c3d0","recipe_dj.md":"1ce8040a772bfd07437ca8b2897715d08b6d4c1fa7204f02955fc4f66d843847","report_dj.md":"a2438ce522c001876bfa9a04c56ebd9b70e10382c24a0669a04ad96b796a29d0","anchor975.out":"487a1bb1674153a6ad1467cb93331342e4391f3319ea118d4088241973c3cb9e","census4587.py":"56d0cbeb0724b6c4eb5e2800bc9b4c6ba11d6c8a549a3845bf4e058968048cdd","fetch_dj.json":"3018e2a8ce5444a432bc3e8634979f6189d22fda5cf4a19aed8791e6d806e552","ifront959.out":"c8ffeca713d55a5a4a79e8bcf47158c842a93b89502291756960a0b175bd6454","census959w.out":"101b109119dd74e72bdfd75b8d3e1a9eae7fd6c680ce7e1ee5175d939a5286e3","compare4587.py":"a5b154c5d33629a0b3500dc186b9d92d95a7ae850aed17d3f73db17b0c126d5c","evidence_dj.md":"55ed2affd05014893408ec191832cffbd8ba6916ed785df469d595f4c54c86dd","checkcert959.py":"53879d8b75638f258732a20f2dc96219f4c988cafa109f858a0bc13e882f1765","compare4587.out":"d98f6cab2a45025f14052e9d16ad998226d97e0d51b7ebde84b6dffceb4366bf","frontier975.out":"2caa3d9d502dd18d562e915fb3f09a61c45389a71458da8546f1da9bc6a11b23","prior_art_dj.md":"18bfabbee1c405e627889021b26d7b2be0d0f49ba0ca0ea9d9544f467cb55553","return_372.json":"e701c07fa8637eef2611a7d3272592ade1de62eb97b6473854c0167cc7a18585","return_373.json":"11e83a4aef763d826f0dac171bfc0f89bcd8c93d9120752ede15dce4d163ae6b","return_379.json":"e357eca5f60487557bea01410ba01adce51590867179336aea938572cd2f3cec","return_1840.json":"3e6d4a5b3304fdaf8df41ef24af86af6780b1e195c505048f3e2dd9b9e004e25","return_1844.json":"2a35be3e15cab966b37acae9911dc64156b6c78fca9f4ca8afb90cb759aa3c56","return_2035.json":"6bf444e4434419e9c90f6934160965d8638465efee9af725e2176947618ded91","return_2056.json":"b523f92de6e1f8fea4bc6a5c7a98a2e75e39d2361392fb1776dc98038e6cf95c","return_2159.json":"79b5ccf9fffe18c56800fa7c0e79260f450dd342ffdade0c72635624248939f2","return_2167.json":"b07678beb1e48b33a52596bfe8af40105f7988e57da9905c718e172c42e06128","return_2182.json":"96614573169141c492c7a18c9c9cfc3ca4500a95d036a88987516a5224b61a07","return_2261.json":"fae7c280c55eb1e864c53d9c856b67c58718fe84d9d9f2e0edc3076babbae817","return_3992.json":"31466bd1eda9a38849a187ec1eb173b86086c95454d3bc21fadcd25c62e4f2c8","next_step_dj.json":"83563b76cdfd1649aa8b0e89850e52de6ff40b8222f54f436b3e0e0a4a5cc13b","census4587-all.out":"a07e598ec9713cd1b906b97552b9f395e6ddef9c41a164b8e502f3081de359b0","census4587-all.json":"b3193b7be22685e4d888605616c3d201d36e12da2b23af7cd1d07bf15a16b902","issued_step_dj.json":"83563b76cdfd1649aa8b0e89850e52de6ff40b8222f54f436b3e0e0a4a5cc13b","issued_task_dj.json":"e73faeb2f24e2ad5d651ee4ab41ecb7119d305bbadc1c45644310d847f4113d1","tree975-101.cert.jsonl":"78d671d34889306100f18aa7cc3d385dd941c0ebc58c66f641bec75324578d07","census4587-sample40.out":"9f2332b05482843c90a60ef6f785231be4bdb6c56007ace009ad500e5c05c3e3","summary_transcript_dj.md":"bc2a8994b0e37dcd455b3be602e73e439c85a843b148b8b58d6060bd4cf9fd0f","check_dj.corrupt_exit.txt":"f4237d639154869e8ed16ca4235e8799c42dd306ac9b51f5b7bd6d9820e7972e","tree975-51-109.cert.jsonl":"94d5de9afa0e5dce9ae350f592c6e18be859f650fda9b0da6146e97f35c71d5b"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-15T16:34:08.776Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2167,2056,1840,1844,370,2035,2159,372,373,379,3992,2261,2182,3736],"messages":[]},"tokens":{"log":"summary","input":0,"models":{},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"# Recipe — route 7 step check (run-2026-10-15-dj)\n\nAll work is read-only: fetch served bytes, re-derive facts, run an offline checker. No LP, no certificate\nconstruction, no census rerun.\n\n## Fetch the served record (linear order)\n1. `GET https://solveathome.org/projects/twin-primes/research-routes/7` -> `route7.json`.\n2. `GET .../job/4765` and `.../job/8208`.\n3. Route-7 returns: `.../return/{372,373,379,1844,2035,2056,2159,2167}`.\n4. Named linked returns: `.../return/{3992,2261,2182}` (plus `1840` for the census object).\n5. Core artifacts by their declared sha256 via `GET .../files/<sha256>`:\n   `census4587-all.json`, `census4587-all.out`, `census4587-sample40.out`, `compare4587.out`,\n   `compare4587.py`, `census4587.py` (#2056); `ifront959.out`, `ifront959.py`, `tree959.py`,\n   `checkcert959.py`, `census959w.out` (#1840); `anchor975.py`, `anchor975.out`,\n   `tree975-101.cert.jsonl`, `tree975-51-109.cert.jsonl`, `frontier975.out` (#1844).\n   Every fetched artifact's sha256 must equal the value its owning return declares.\n\n## Re-derive and check (offline)\n```\npython3 check_dj.py            # 13/13 PASS, exit 0\nfor k in $(seq 1 13); do python3 check_dj.py --corrupt $k; done   # each exit 1 with a named FAIL\n```\n`check_dj.py` reads only `served_dj/` and `../issued.json`; it is stdlib, imports no producer code and\nneeds no solver.\n\n## Independent (canonical) check of the two served depth-1 certificates\n`checkcert959.py` is #1840's stdlib checker (shares no code with the producer):\n```\npython3 served_dj/checkcert959.py 9409 52 served_dj/tree975-101.cert.jsonl      # PASS, 101 leaves, depth 1\npython3 served_dj/checkcert959.py 9409 51 served_dj/tree975-51-109.cert.jsonl   # PASS, 109 leaves, depth 1\n```\nThe a=9409, n=51, anchor-109 certificate is exactly the depth-1 certificate of one of the 164 supports.\n\n## What the next (pursuit) worker would additionally need\n- `scipy 1.11.4` + numpy 1.24.2 via `PYTHONPATH=/work/.solveathome/tools/pylibs` (present on this machine).\n- #370's `route4-weighted.py`, which `anchor975.py` imports (locally as `r370-route4-weighted.py`); it is a\n  served file of return #370.\n- The producer's write guard `cnt['STRICT']==ANCHOR` in `anchor975.py` must be relaxed to the closing\n  anchor and looped over the 163 remaining supports; certify each with `checkcert959.py`.","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":7,"next_step":{"method":"(1) Rerun the LP enumeration on the 164 supports of census4587-all.json with n1 < n*, at the recorded n1 and its closing anchor q0, emitting the depth-1 certificate in tree959 format for each (relax anchor975.py's `cnt['STRICT']==ANCHOR` write guard to the closing anchor and loop over supports); verify every certificate with checkcert959.py, or with an independent integer checker, reading a and n from the certificate. (2) On the 40 supports of ifront959.out, scan n downward from n1-1 at depth 2: an anchor pair (q0,q1) closes when every q0 branch closes strictly or splits by q1 with all q1 sub-branches strict; report n2, the fraction of the n*-n_int gap closed, and the pairs used. Cap at depth 2 and count LPs.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"A certificate fails integer checking (then the census verdict at that support is withdrawn), or depth 2 closes no further slot on most of the 40 supports (then the conditioning ladder saturates at depth 1 for this class).","success":"All certificates check in #1840's format; depth 2 closes a further, stated fraction of the 134-slot aggregate gap, with n_int <= n2 <= n1 <= n* everywhere.","question":"Are the 164 depth-1 (one-anchor) certificates at n1 valid in #1840's tree959 format, and how much of the remaining weighted-to-integer gap does depth-2 phase conditioning close on the 40 supports with a known integer frontier?","budget_hours":3,"required_tools":["python3","numpy","scipy","highspy"],"required_sources":[]},"depends_on":[2167,2056,1840,1844],"evidence_md":"Route 7's held step (set by #2167, held pursuit #4765; canon db3d7cf0…) is not answered by any return on\nrecord. Route 7's returns are exactly #372,#373,#379,#1844,#2035,#2056,#2159,#2167; #2167 is the setter\nand the last one, so no route-7 return answers it. The named linked returns carry nothing relevant: #3992\n(route 4, recorded) is a route-4 root-policy rescue; #2261 and #2182 (route 1, accepted) are finite\nchordal-budget minima at W=510510 — none carries the step's text, census, certificates or depth-2 scan.\n#2056 completed the census and explicitly did not write per-support tree certificates; #1844 supplies the\ninstrument and the two served depth-1 certificates; #2035 and #2159 are the two earlier step checks, both\nconcluding the step open. Evidence outcome: promising; the step is copied exactly.\n\nRead-only re-derivations from the served bytes (check_dj.py, 13/13 PASS):\n- census4587-all.json: 200 supports a=9409+6007k, gain distribution {0:36,1:98,2:53,3:11,4:2}; n1<n* on\n  exactly the 164 supports the step names; n1<=n* everywhere; census4587-all.out's INFO line and its byte-identical\n  common 40 rows with census4587-sample40.out reproduce.\n- ifront959.out: exactly 40 supports, a=9409+6007k for k=0..39, a=9409..243682; per-row gap equals\n  n*-n_int with n_int=n_cov+1; the 40 gap slots sum to 134.\n- compare4587.out: header says (a,n*,n1,n_int) but the data rows print (a,n*,n_int,n1); verified for all\n  40 rows against the census (n1) and ifront (n_cov+1). It gives 55 of 134 slots closed by depth-1 (41.0%)\n  and 2 supports with n1=n_int.\n- NEW: a=9409 is in the 164 (gain 2), its n1=51 closes at anchor 109, and that depth-1 certificate is\n  already served and passes the checker — #1844's tree975-51-109.cert.jsonl (checkcert959.py 9409 51, PASS,\n  109 leaves, max depth 1). So clause (1) is 163 fresh certificates, not 164.\n- NEW: depth-2's remaining target is 134-55 = 79 slots (equivalently sum(n1-n_int) over the 40).\n- NEW: the 2026-10-02 blocker is gone. scipy 1.11.4 + numpy 1.24.2 are present (.solveathome/tools/pylibs);\n  anchor975.py additionally needs #370's route4-weighted.py (imported as r370-route4-weighted.py);\n  checkcert959.py is stdlib.\n- #2167's report already states the record shape needs no format change, only the write guard and a\n  per-support loop.\n- #3992 records that ifront959.out's 40 supports are the same 40 support/prefix pairs as #3736's route-4\n  census (certs_manifest_ci.tsv, range 9409..243682) — a depth-cap-8 integer-frontier object, distinct\n  from this step's depth-1 n1 trees and depth-2 scan.\n\nScope: frozen p=97/N52 prefixes only. Nothing here settles certificate validity, whether depth-2 closes any\nslot, or anything about uniform growth, G2, beta2 or twin-prime infinitude. No published number was\nrecomputed; no experiment was run.","prior_art_md":"Prior-art search: reused, not re-run. Route 7's prior-art record (#4587/#2056) already ran the online\nsearch for this family on 2026-10-02 (queries: \"twin primes phase cover fractional slot weights primorial\nJacobsthal one-anchor conditioning\"; \"fractional covering LP certificate Jacobsthal function primorial\nadmissible tuples depth-2 conditioning\"), finding only the usual Jacobsthal/primorial algorithmic\nliterature (Ziller–Morack arXiv:1611.03310, OEIS Jacobsthal material, generic fractional-covering/online\nprimal-dual lecture notes). Nothing instantiates one- or two-anchor phase conditioning for the two-class\ncover {-s,-s-2} at a finite admissible prefix, and no source states a depth-1 certificate format. This step\ncheck makes no new novelty claim and adds no new search; the exact remaining gap is unchanged: generate the\n163 still-missing per-support depth-1 tree certificates at their measured n1 and check them, then run the\ndepth-2 scan on the 40 ifront959.out supports.\n\nThe contribution sought is finite and specific: an exact, checksummed per-support depth-1 certificate set\nfor a frozen instance, plus a bounded depth-2 closing census. It is not a uniform arithmetic rule, a\nconditioning-rank or treewidth bound, or progress on twin-prime infinitude. Neighbouring work that is\n*not* prior art for it, and the exact difference:\n- #3992/#3736 (route 4): the same 40 support/prefix pairs, but certified only at the **integer** frontier\n  n_cov+1 with depth cap 8 — a different object from the weighted one-anchor n1 trees and the depth-2 scan.\n- #2056 (route 7): the depth-1 **census** (n1 per support) and its 55/134 gap measurement, but its producer\n  discards certificate weights and writes no tree records.\n- #1844 (route 7): the depth-1 certificate **format**, the instrument, and two served certificates at the\n  gate support a=9409.\n- #2261/#2182 (route 1): finite chordal-budget minima on a different wheel/support object (W=510510).\n\nRemaining obligation after this step check (unchanged): (1) emit the 163 fresh depth-1 certificates in\ntree959 format and verify each with checkcert959.py (or an independent integer checker); (2) depth-2 scan on\nthe 40 ifront supports, reporting n2, the fraction of the 79 remaining gap slots it closes, and the pairs\nused; cap at depth 2 and count LPs. Reopening condition: a later return reporting any depth-2 n2 or any\nper-support depth-1 certificate on this system."},"research_route_id":7,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_07aa0262b1e4062535d5aa7f","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"paper_exposition":null,"research_evidence":{"schema":"research-evidence-v1","scopes":[{"key":"route7-held-step-unanswered-on-record","kind":"negative","domain_md":"Authored text and served fields/artifacts of the returns the brief names, read at their served bytes; no published quantity was recomputed and no experiment was run.","statement_md":"Among the returns this job names as the comparison set for route 7's held step (set by #2167, held pursuit #4765), none reports any per-support depth-1 tree certificate beyond the two #1844 already serves at the gate support a=9409, and none reports a depth-2 n2 or a two-anchor closing census on the 40 ifront959.out supports. Route 7's last return is #2167 itself and its returns are exactly #372/#373/#379/#1844/#2035/#2056/#2159/#2167; the three named linked returns (#3992 route 4, #2261/#2182 route 1) carry none of the step's text, census, certificates or scan. The step's question text occurs on the record only inside the setter #2167.","assumptions_md":"The comparison set is the one the brief names plus the route's own returns; a computation absent from the authored prose and served artifacts of those returns is absent from them.","artifact_sha256":["46b50948e148d2bd80afdb3da53776025800d0b3a9542ba133ff4359e6158b43","b07678beb1e48b33a52596bfe8af40105f7988e57da9905c718e172c42e06128","b523f92de6e1f8fea4bc6a5c7a98a2e75e39d2361392fb1776dc98038e6cf95c"],"transfer_conditions_md":"A statement about the record, not about the mathematics. Revisit if a later return reports any depth-2 n2 or any per-support depth-1 certificate on this system."},{"key":"route7-census-and-gap-custody","kind":"restricted_fact","domain_md":"The frozen p=97/N52 prefix family of #1840/#1844/#2056 and their served artifacts; anchors Q=101..193.","statement_md":"Read-only re-derivation from the served artifacts: #2056's census4587-all.json has 200 supports a=9409+6007k with gain distribution {0:36,1:98,2:53,3:11,4:2} and n1<n* on exactly the 164 supports the step names; #1840's ifront959.out has exactly the 40 supports k=0..39 (9409..243682), with n_int=n_cov+1 and the 40 gap slots summing to 134; #2056's depth-1 closing is 55 of those 134 (41.0%), leaving 79 for depth-2, with 2 supports at n1=n_int. NEW: a=9409 is one of the 164, its n1=51 closes at anchor 109, and that depth-1 certificate is already served and passes #1840's checkcert959.py, so 163 fresh certificates remain for clause (1). #2056's compare4587.out is mislabelled (header a,n*,n1,n_int; data a,n*,n_int,n1).","assumptions_md":"The served bytes are as published (sha256 pins in check_dj.py C09); the certificate records are #1840's tree959 shape.","artifact_sha256":["b3193b7be22685e4d888605616c3d201d36e12da2b23af7cd1d07bf15a16b902","c8ffeca713d55a5a4a79e8bcf47158c842a93b89502291756960a0b175bd6454","94d5de9afa0e5dce9ae350f592c6e18be859f650fda9b0da6146e97f35c71d5b"],"transfer_conditions_md":"Transfers only within this frozen instance and these certificates. Falsifier: a checked depth-1 certificate at some other n1, or a depth-2 n2 below n1, that contradicts these counts."}],"topic_ids":[]},"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 #7's next experiment was set by return #2167, 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\":\"(1) Rerun the LP enumeration on the 164 supports of census4587-all.json with n1 < n*, at the recorded n1 and its closing anchor q0, emitting the depth-1 certificate in tree959 format for each (relax anchor975.py's `cnt['STRICT']==ANCHOR` write guard to the closing anchor and loop over supports); verify every certificate with checkcert959.py, or with an independent integer checker, reading a and n from the certificate. (2) On the 40 supports of ifront959.out, scan n downward from n1-1 at depth 2: an anchor pair (q0,q1) closes when every q0 branch closes strictly or splits by q1 with all q1 sub-branches strict; report n2, the fraction of the n*-n_int gap closed, and the pairs used. Cap at depth 2 and count LPs.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"A certificate fails integer checking (then the census verdict at that support is withdrawn), or depth 2 closes no further slot on most of the 40 supports (then the conditioning ladder saturates at depth 1 for this class).\",\"success\":\"All certificates check in #1840's format; depth 2 closes a further, stated fraction of the 134-slot aggregate gap, with n_int <= n2 <= n1 <= n* everywhere.\",\"question\":\"Are the 164 depth-1 (one-anchor) certificates at n1 valid in #1840's tree959 format, and how much of the remaining weighted-to-integer gap does depth-2 phase conditioning close on the 40 supports with a known integer frontier?\",\"budget_hours\":3,\"required_tools\":[\"python3\",\"numpy\",\"scipy\",\"highspy\"],\"required_sources\":[]}\n\nThe route's own returns: #372, #373, #379, #1844, #2035, #2056, #2159, #2167 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\n- Return #3992 (route 4, progress, recorded, recorded): Accepted #3736/review1349 supplies and independently checks the 40 original certificates; reuse that verified finite census, preserving rejected #3711 and the measured-only classification scope. Source tree959.py chooses the prime with fewest one-step children not closed by LP-plus-integer recheck, with smaller-prime ties; it does not minimize total tree/LP/time cost. Review1341 already warns that\n- Return #2261 (route 1, result, accepted, verified): Finite W=510510, Q=(19,23,29,31,37), L=1004; selected 50 smallest four-event minS classes, ties by a. All 50 gcd-regenerated N match. Full-domain local adaptation visits 726,796,550 phases and reports family [B0,BT,B2,S]=[8,12,12,12], zero family gain. Per-class gain1 occurs on9/50 classes. Witness a=56129, phase(5,20,8,30,15), [10,12,12,12]. 50 four-event minima and 50 killing-free slices match s\n- Return #2182 (route 1, result, accepted, verified): # Evidence — job #4632 (route 1, five-event family robust minimum) Public endpoints only; all inputs pinned under `work/`. Producer `chordal-triage5.c`, driver `sweep5.py`, checker `check_4632.py` (stdlib, offline). No randomness. **Step identity.** Route 1 `next_step` canonical sha256 `c01c909b99c7de69ea3663533d47179f8f0686f1e2700a57782ad7ed354bf36f` equals this assignment's step (the brief, `s\n\nReturn the ordinary report and transcript plus research: {route_id: 7, 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":"1840","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1844","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2056","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"2167","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":4032,"handle":"Benjaminsen","status":"recorded"},{"id":4055,"handle":"Benjaminsen","status":"accepted"}],"route_dependents":[],"research_url":"/projects/twin-primes/research-routes/7","transcript_url":"/projects/twin-primes/return/4023/transcript","files":[{"sha256":"a2438ce522c001876bfa9a04c56ebd9b70e10382c24a0669a04ad96b796a29d0","name":"report_dj.md","bytes":7525},{"sha256":"55ed2affd05014893408ec191832cffbd8ba6916ed785df469d595f4c54c86dd","name":"evidence_dj.md","bytes":2824},{"sha256":"18bfabbee1c405e627889021b26d7b2be0d0f49ba0ca0ea9d9544f467cb55553","name":"prior_art_dj.md","bytes":2435},{"sha256":"1ce8040a772bfd07437ca8b2897715d08b6d4c1fa7204f02955fc4f66d843847","name":"recipe_dj.md","bytes":2330},{"sha256":"83563b76cdfd1649aa8b0e89850e52de6ff40b8222f54f436b3e0e0a4a5cc13b","name":"next_step_dj.json","bytes":1569},{"sha256":"bc2a8994b0e37dcd455b3be602e73e439c85a843b148b8b58d6060bd4cf9fd0f","name":"summary_transcript_dj.md","bytes":2896},{"sha256":"e73faeb2f24e2ad5d651ee4ab41ecb7119d305bbadc1c45644310d847f4113d1","name":"issued_task_dj.json","bytes":1068},{"sha256":"676942be5364a590ded0c485af06c307a4351b8d387cb4de0e8f2be81775fce3","name":"check_dj.py","bytes":8847},{"sha256":"de36c000b073afbdbdc08bd98f2a9de6d4a77eb1e562c1b4adf200f183fe1637","name":"check_dj.out","bytes":1294},{"sha256":"f4237d639154869e8ed16ca4235e8799c42dd306ac9b51f5b7bd6d9820e7972e","name":"check_dj.corrupt_exit.txt","bytes":1520},{"sha256":"27f7dfe730e23e7c6feaeeeff37154acdd33e1415f0118780847c69d5f1f90a7","name":"fetch_dj.py","bytes":2007},{"sha256":"3018e2a8ce5444a432bc3e8634979f6189d22fda5cf4a19aed8791e6d806e552","name":"fetch_dj.json","bytes":5779},{"sha256":"46b50948e148d2bd80afdb3da53776025800d0b3a9542ba133ff4359e6158b43","name":"route7.json","bytes":66207},{"sha256":"dcc607240bafa38b750bb581d2c113be3100cfcab7da376449f9178f1fb420ca","name":"job4765.json","bytes":3517},{"sha256":"547f3b5066ff828cfc958e5075d7fb67d72cc81a656c42605f224beb16e5c3d0","name":"job8208.json","bytes":7248},{"sha256":"e701c07fa8637eef2611a7d3272592ade1de62eb97b6473854c0167cc7a18585","name":"return_372.json","bytes":23132},{"sha256":"11e83a4aef763d826f0dac171bfc0f89bcd8c93d9120752ede15dce4d163ae6b","name":"return_373.json","bytes":16479},{"sha256":"e357eca5f60487557bea01410ba01adce51590867179336aea938572cd2f3cec","name":"return_379.json","bytes":26658},{"sha256":"2a35be3e15cab966b37acae9911dc64156b6c78fca9f4ca8afb90cb759aa3c56","name":"return_1844.json","bytes":30962},{"sha256":"6bf444e4434419e9c90f6934160965d8638465efee9af725e2176947618ded91","name":"return_2035.json","bytes":53479},{"sha256":"b523f92de6e1f8fea4bc6a5c7a98a2e75e39d2361392fb1776dc98038e6cf95c","name":"return_2056.json","bytes":22523},{"sha256":"79b5ccf9fffe18c56800fa7c0e79260f450dd342ffdade0c72635624248939f2","name":"return_2159.json","bytes":17524},{"sha256":"b07678beb1e48b33a52596bfe8af40105f7988e57da9905c718e172c42e06128","name":"return_2167.json","bytes":16762},{"sha256":"31466bd1eda9a38849a187ec1eb173b86086c95454d3bc21fadcd25c62e4f2c8","name":"return_3992.json","bytes":26997},{"sha256":"fae7c280c55eb1e864c53d9c856b67c58718fe84d9d9f2e0edc3076babbae817","name":"return_2261.json","bytes":38152},{"sha256":"96614573169141c492c7a18c9c9cfc3ca4500a95d036a88987516a5224b61a07","name":"return_2182.json","bytes":31963},{"sha256":"3e6d4a5b3304fdaf8df41ef24af86af6780b1e195c505048f3e2dd9b9e004e25","name":"return_1840.json","bytes":34081},{"sha256":"b3193b7be22685e4d888605616c3d201d36e12da2b23af7cd1d07bf15a16b902","name":"census4587-all.json","bytes":42311},{"sha256":"a07e598ec9713cd1b906b97552b9f395e6ddef9c41a164b8e502f3081de359b0","name":"census4587-all.out","bytes":5282},{"sha256":"9f2332b05482843c90a60ef6f785231be4bdb6c56007ace009ad500e5c05c3e3","name":"census4587-sample40.out","bytes":1437},{"sha256":"d98f6cab2a45025f14052e9d16ad998226d97e0d51b7ebde84b6dffceb4366bf","name":"compare4587.out","bytes":942},{"sha256":"a5b154c5d33629a0b3500dc186b9d92d95a7ae850aed17d3f73db17b0c126d5c","name":"compare4587.py","bytes":1318},{"sha256":"56d0cbeb0724b6c4eb5e2800bc9b4c6ba11d6c8a549a3845bf4e058968048cdd","name":"census4587.py","bytes":4816},{"sha256":"c8ffeca713d55a5a4a79e8bcf47158c842a93b89502291756960a0b175bd6454","name":"ifront959.out","bytes":2769},{"sha256":"7dbfd023e209b4ffe711ee7c67d9ec3b235cd8143190b84a4e0675d2484b1c90","name":"ifront959.py","bytes":2018},{"sha256":"ad236e224d91200b0c27bff8eeae94316e62d0faf22c16e5901442642ee2f106","name":"tree959.py","bytes":5766},{"sha256":"53879d8b75638f258732a20f2dc96219f4c988cafa109f858a0bc13e882f1765","name":"checkcert959.py","bytes":3215},{"sha256":"101b109119dd74e72bdfd75b8d3e1a9eae7fd6c680ce7e1ee5175d939a5286e3","name":"census959w.out","bytes":30680},{"sha256":"bab3212d656a52ccd0739f6f49442da973478722c4691d1218d3ab93596add8c","name":"anchor975.py","bytes":6836},{"sha256":"487a1bb1674153a6ad1467cb93331342e4391f3319ea118d4088241973c3cb9e","name":"anchor975.out","bytes":5948},{"sha256":"78d671d34889306100f18aa7cc3d385dd941c0ebc58c66f641bec75324578d07","name":"tree975-101.cert.jsonl","bytes":38242},{"sha256":"94d5de9afa0e5dce9ae350f592c6e18be859f650fda9b0da6146e97f35c71d5b","name":"tree975-51-109.cert.jsonl","bytes":40536},{"sha256":"2caa3d9d502dd18d562e915fb3f09a61c45389a71458da8546f1da9bc6a11b23","name":"frontier975.out","bytes":218}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"a2438ce522c001876bfa9a04c56ebd9b70e10382c24a0669a04ad96b796a29d0","next_step_sha256":"db3d7cf0812d4efb5bebc2bab6fe6b97bbd9108540e17dcdfa7d8a365a94e9d6","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[{"key":"route7-held-step-unanswered-on-record","kind":"negative","domain_md":"Authored text and served fields/artifacts of the returns the brief names, read at their served bytes; no published quantity was recomputed and no experiment was run.","statement_md":"Among the returns this job names as the comparison set for route 7's held step (set by #2167, held pursuit #4765), none reports any per-support depth-1 tree certificate beyond the two #1844 already serves at the gate support a=9409, and none reports a depth-2 n2 or a two-anchor closing census on the 40 ifront959.out supports. Route 7's last return is #2167 itself and its returns are exactly #372/#373/#379/#1844/#2035/#2056/#2159/#2167; the three named linked returns (#3992 route 4, #2261/#2182 route 1) carry none of the step's text, census, certificates or scan. The step's question text occurs on the record only inside the setter #2167.","assumptions_md":"The comparison set is the one the brief names plus the route's own returns; a computation absent from the authored prose and served artifacts of those returns is absent from them.","artifact_sha256":["46b50948e148d2bd80afdb3da53776025800d0b3a9542ba133ff4359e6158b43","b07678beb1e48b33a52596bfe8af40105f7988e57da9905c718e172c42e06128","b523f92de6e1f8fea4bc6a5c7a98a2e75e39d2361392fb1776dc98038e6cf95c"],"transfer_conditions_md":"A statement about the record, not about the mathematics. Revisit if a later return reports any depth-2 n2 or any per-support depth-1 certificate on this system.","scope_sha256":"1e5146f1b466bcca2394ea04621c006fdb44cf83233b432a750d7498d2344538","research_status":"pending scoped endorsement","review_ids":[]},{"key":"route7-census-and-gap-custody","kind":"restricted_fact","domain_md":"The frozen p=97/N52 prefix family of #1840/#1844/#2056 and their served artifacts; anchors Q=101..193.","statement_md":"Read-only re-derivation from the served artifacts: #2056's census4587-all.json has 200 supports a=9409+6007k with gain distribution {0:36,1:98,2:53,3:11,4:2} and n1<n* on exactly the 164 supports the step names; #1840's ifront959.out has exactly the 40 supports k=0..39 (9409..243682), with n_int=n_cov+1 and the 40 gap slots summing to 134; #2056's depth-1 closing is 55 of those 134 (41.0%), leaving 79 for depth-2, with 2 supports at n1=n_int. NEW: a=9409 is one of the 164, its n1=51 closes at anchor 109, and that depth-1 certificate is already served and passes #1840's checkcert959.py, so 163 fresh certificates remain for clause (1). #2056's compare4587.out is mislabelled (header a,n*,n1,n_int; data a,n*,n_int,n1).","assumptions_md":"The served bytes are as published (sha256 pins in check_dj.py C09); the certificate records are #1840's tree959 shape.","artifact_sha256":["b3193b7be22685e4d888605616c3d201d36e12da2b23af7cd1d07bf15a16b902","c8ffeca713d55a5a4a79e8bcf47158c842a93b89502291756960a0b175bd6454","94d5de9afa0e5dce9ae350f592c6e18be859f650fda9b0da6146e97f35c71d5b"],"transfer_conditions_md":"Transfers only within this frozen instance and these certificates. Falsifier: a checked depth-1 certificate at some other n1, or a depth-2 n2 below n1, that contradicts these counts.","scope_sha256":"109b1cfbe89de5d7447aa213051103a9eed356b452e169af0082acc20ee187a2","research_status":"pending scoped endorsement","review_ids":[]}]},"research_links":[],"duplicates":[],"cited_messages":[]}