{"id":2167,"job_id":4589,"problem_id":1,"lane_id":5,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #4589 — route 7, `pursue`: the depth-1 certificate generation is instrument-blocked here; the served census record independently re-verified\n\n## What ran\n\n- Recovery-first, framework re-check and registration per the brief: protocol bumped to\n  `department-v2.research-2026-10-02.4` / `framework-de72a8d7fc3b`; re-ran the harness **53/53**;\n  registered → attempt `[REDACTED]`, job **4589**, route **7**, stage `pursue`.\n- Fetched every served artifact for returns **370, 1840, 1844, 2056** (plus 372/373/379/2075/2066/\n  2070/2090/2077) read-only, hash-checked. Every served file's **raw bytes match its declared\n  sha256** (verified from the request journal's `response_sha256`, which records the wire bytes).\n\n## Independent checks (stdlib, no producer code) — all PASS\n\n- `checkcert959.py` on the three served tree certificates:\n  `tree975-101.cert.jsonl` (a=9409, n=52), `tree975-51-109.cert.jsonl` (a=9409, n=51),\n  `tree959-9409-48.cert.jsonl` (depth 5) — all **PASS**.\n- `work/verify_served.py` (uploaded): reconstructs #2056's record and #1840's frontier from their\n  own served text: 200 supports; every census `n*` equals `census959w.out`; the pre-registered\n  40-support sample equals the first 40 rows of `census4587-all.out`; the G1 gate holds\n  (a=9409 → n\\*=53, n1=51, closing anchor 109, none at 50); `n_int = n_cov+1 <= n1 <= n*` on all 40\n  `ifront959.out` supports; aggregates **134 / 55 (41.0%) / 2** match `compare4587.out`.\n- Confirmed by independent reconstruction #2159's source caveat: `compare4587.out`'s header\n  `a n* n1 n_int` is mislabelled — its data rows print `n_int` before `n1` (9409 row reads `53 48 51`\n  where 48 is `n_int` and 51 is `n1`).\n\n## Why the assigned experiment was not executed\n\nThe producer instrument requires `scipy.optimize.linprog(method='highs')`\n(`anchor975.py`, `tree959.py`, `census4587.py`). This session's Python 3.11 has `numpy 1.24.2` but\n**no `scipy`, `highspy`, `pulp`, `cvxpy`, `ortools`, and no `pip` and no CLI LP solver**, so the LP\nenumeration cannot run. `anchor975.out` deliberately retains only the integer-check totals, not the\nLP dual weights, so the per-support certificates cannot be reconstructed from served data — the LP\nmust be rerun (this confirms #2056's own scope note). The certificate **checker** is stdlib and was\nexercised above; only the **generator** is blocked.\n\n## Partial answer to the step's format clause\n\n`anchor975.py`/`cert51975.py` emit records `{path:[],branch:q0}` + `{path:[[q0,b]],w:[...]}`;\n`checkcert959.py` consumes exactly that shape, and the two served depth-1 certificates validate\nagainst it. So the 164 depth-1 certificates, once the LP is rerun, are **already in #1840's tree\nformat and need no format change** — only the producer's write guard (`anchor975.py` writes the\ncertificate only when the closing anchor is 101) and a per-support loop are missing. This was not\nexecuted here.\n\n## Scope\n\nFrozen N52 / p=97 only; nothing here bears on uniform growth. No G2, β₂ or twin-prime claim; twin\nprime infinitude stays open.\n\n## Administration\n\n45 of @Benjaminsen's returns wait for a verdict.\n\nArtifacts (uploaded): `verify_served.py` (8a246fb2…), `verify_served.out` (efa09245…),\n`probe_weights.py` (ab018242…), plus served originals under `work/served/`.\n","patch":null,"cpu_hours":0.2,"hashes":{"probe_weights.py":"ab018242befd38fc40d9898787f109f1a5f63ca9f10f74e74c6e42346c46f890","verify_served.py":"8a246fb2ba5ba540f759665d926a1c497cca00287c5e438968f65a2c808e383f","verify_served.out":"efa09245436c912174e319c371bb77ffc1707d9b0ba996a1a47b155745a15647"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-02T20:16:54.373Z","repo_url":null,"commit":null,"cites":{"files":["8a246fb2ba5ba540f759665d926a1c497cca00287c5e438968f65a2c808e383f","efa09245436c912174e319c371bb77ffc1707d9b0ba996a1a47b155745a15647","ab018242befd38fc40d9898787f109f1a5f63ca9f10f74e74c6e42346c46f890"],"handles":[],"returns":[370,1840,1844,2056,2159],"messages":[]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4-flash"]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":"All checks are stdlib and reproducible from the uploaded scripts plus the served artifacts fetched read-only from <project base>/return/<id> (370, 1840, 1844, 2056) and their /files/<sha> links; every download's raw-byte sha256 equals its declared hash (also recorded in the request journal).\n1. Certificate checks: python3 checkcert959.py 9409 52 tree975-101.cert.jsonl ; python3 checkcert959.py 9409 51 tree975-51-109.cert.jsonl ; python3 checkcert959.py 9409 48 tree959-9409-48.cert.jsonl -> each prints 'PASS: a=9409 ...'.\n2. census consistency: python3 verify_served.py (uploads) reads work/served/files/{census4587-all.json, census4587-all.out, census4587-sample40.out, census959w.out, ifront959.out, frontier975.out} and prints 11 PASS lines then 'RESULT: ALL CONSISTENT'; its stdout sha256 is efa09245… (verify_served.out).\n3. weight-heuristic probe: python3 probe_weights.py prints 'branches STRICT by all-ones: 0 of 101' and '... by served weights: 101 of 101' (shows plain weights do not suffice; the LP is needed to generate certificates).\nNo randomness; expected runtime < 5 s for all three.","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":"progress","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":[370,1840,1844,2056,2159],"evidence_md":"The served route-7 census record is internally consistent and its certificates verify; what is\nmissing is only the serialized per-support depth-1 certificate, and its format is already correct.\n\n1. Independent verification (stdlib, no producer code) of the three served tree certificates with\n   checkcert959.py: `tree975-101.cert.jsonl` (a=9409, n=52; 1 branch, 101 leaves) PASS;\n   `tree975-51-109.cert.jsonl` (a=9409, n=51; 109 leaves) PASS; `tree959-9409-48.cert.jsonl`\n   (a=9409, n=48; 31 branch nodes, 3507 leaves, depth 5) PASS. These are finite checks of the\n   served artifacts, not new proofs.\n\n2. Independent reconstruction (`verify_served.py`, uploaded) of #2056's census against #1840's own\n   served text: 200 distinct supports; every census `n*` equals `census959w.out`; the 40-support\n   pre-registered sample equals the first 40 rows of `census4587-all.out`; G1 (a=9409 → n\\*=53,\n   n1=51, closing anchor 109, none at 50) holds; `n_int = n_cov+1 <= n1 <= n*` on every\n   `ifront959.out` support; the weighted-to-integer aggregate is 134 slots, 55 closed by one anchor\n   (41.0%), 2 supports reaching `n_int`, matching `compare4587.out`. All PASS.\n\n3. Served-artifact integrity: every fetched file's raw bytes match its declared sha256, checked via\n   the journal's recorded wire-byte hash (`response_sha256`). downloader-format note: the files are\n   immutable and intact; a local JSON re-serialisation does not change the served record.\n\n4. The step's format clause is answered affirmatively on the shape: anchor975.py/cert51975.py and\n   checkcert959.py share one record schema ({path:[],branch:q0} plus {path:[[q0,b]],w:[...]}), and\n   the two served depth-1 certificates validate under the checker. So generating the 164 depth-1\n   certificates needs only to relax anchor975.py's `cnt['STRICT']==ANCHOR` write guard and loop over\n   supports; no format change is required. Not executed here.\n\n5. Scoped gap (not a route obstacle): this environment has no LP solver, so the census generator\n   could not run; `anchor975.out` retains no dual weights, so the certificates cannot be\n   reconstructed from served data. The next experiment is unchanged and still open.\n\nNo new mathematical claim; grades: verification (1-3) is finite and reproducible; (4) is a\ncode-shape observation, not a proof; nothing here bears on uniform growth or twin-prime infinitude.","prior_art_md":"Reused #4587's recorded search (route 7, revision 4-5) without a new novelty claim; ran a fresh\nonline search on 2026-10-02 (queries: \"twin primes phase cover fractional slot weights primorial\nJacobsthal one-anchor conditioning\"; \"fractional covering LP certificate Jacobsthal function\nprimorial admissible tuples depth-2 conditioning\"). Hits were the usual Jacobsthal/primorial\nalgorithmic literature — Ziller-Morack arXiv:1611.03310 (already cited by #4587), OEIS Jacobsthal\nmaterial, an upper-bound note — and generic fractional-covering/online-primal-dual lecture notes;\nplus survey/press-level twin-prime pages. Nothing instantiates one-variable (one-anchor) or\ntwo-anchor phase conditioning for the two-class cover {-s,-s-2} at a finite admissible prefix, and\nno source states a depth-1 certificate format, so the exact remaining gap is unchanged and remains\nthe department's own finite census.\n\nExact remaining gap (unchanged from #2056/#2159, and not run here): generate the per-support\ndepth-1 tree certificates at n1 for the 164 supports with n1 < n\\*, write them in tree959 format,\nand check every one with checkcert959.py (or an independent integer checker); then the depth-2 scan\non the 40 `ifront959.out` supports. `anchor975.out` retains no LP dual weights, so this requires\nrerunning the LP; the checker itself is stdlib and validates the two served depth-1 certificates\n(a=9409, n=51 and n=52) and the depth-5 tree at a=9409, n=48.\n\nAccess gap recorded this run: the local environment has no LP solver (no scipy/highspy/pulp/cvxpy/\nortools, no pip, no CLI solver), so the generator could not be executed here."},"research_route_id":7,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_303ab77e0106f2bd95430c77","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"First update the online prior-work search for this experiment. If existing work covers it, record that and stop; otherwise run this bounded sprint on the uncovered uncertainty. Use cited published numbers during pursuit; their reproduction belongs in later validation. Build on the supplied findings; do not reconstruct earlier research. Return concrete progress and its cheapest credible check, a useful result for review, or a precisely scoped obstacle. Continued investment requires a distinct experiment.\n\nRead GET <project base>/research-routes/7 and return #2056. Return the ordinary report and transcript plus research: {route_id: 7, outcome: \"promising|progress|blocked|inconclusive|known|result\", evidence_md: \"what the evidence changes, <=4000 chars\", prior_art_md: \"updated online search record, sources and exact remaining gap, <=4000\", next_step: {question, method, success, failure, budget_hours} <only for continued pursuit; what to do, never when or how fast; it must not ask for what a return on this route or a linked route already did, and the route returns it builds on go in depends_on or cites.returns>, obstacle: {kind, statement, assumptions, evidence, revisit_when} <for blocked/inconclusive>, depends_on: [<return ids actually required>]}. A result with a distinct next_step requests review and continues pursuit concurrently; omit next_step when no further experiment is warranted. Use known with prior_art_md and no next_step or obstacle when cited prior work already covers the proposed contribution; it stops automatic investigation without requesting review. The evidence grade is separate. Do not close a broad route because one proof attempt failed.\n\nStep check: return #2159 compared this step with the returns on record and found it still open. Build on what it read; do not redo it.\n\nNeither issued clause is answered by the inspected record through #2151 (93/95 post-setter IDs present; #2082/#2133 absent). #2056 completes the depth-1 frontier census but explicitly omits per-support tree certificates; its producer discards certificate weights. #1844 has two checked depth-1 certificates on a=9409 only. #1840 has a depth-5 frozen tree, not the 40-support depth-2 census. #2075 runs no tree; #2066/#2070/#2090 concern split-D51 Farkas/group support, and #2077 concerns a different five-event minimum. Six served artifacts hash-matched. The original step is copied exactly, SHA-256 4027aa2f52b45f66c949538c8e6f6588361cd26d874d08d5219bc90b99c024c2. Source caveat: compare4587.out labels n1/n_int in reverse order; compare4587.py prints n_int then n1 and its aggregate formulas use that order. No LP, tree generation or certificate verification executed.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"370","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1840","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"1844","status":"pending","final_rung":null,"canonical_return_id":null},{"id":"2056","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"2159","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[{"id":2178,"handle":"Benjaminsen","status":"recorded"},{"id":2202,"handle":"Benjaminsen","status":"recorded"}],"route_dependents":[1,4,7],"research_url":"/projects/twin-primes/research-routes/7","transcript_url":"/projects/twin-primes/return/2167/transcript","files":[{"sha256":"8a246fb2ba5ba540f759665d926a1c497cca00287c5e438968f65a2c808e383f","name":"verify_served.py","bytes":3325},{"sha256":"efa09245436c912174e319c371bb77ffc1707d9b0ba996a1a47b155745a15647","name":"verify_served.out","bytes":638},{"sha256":"ab018242befd38fc40d9898787f109f1a5f63ca9f10f74e74c6e42346c46f890","name":"probe_weights.py","bytes":4754}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}