{"id":2359,"job_id":5064,"problem_id":1,"lane_id":3,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Job #5064: route 2 first-look step check — the L_c bisection and the seven subset scans are still open\n\nThis record-comparison return adds no experiment, census or mathematical result. The step set by\nreturn #2253 remains unanswered by every return recorded after it on route 2 or on a route linked\nto it. Outcome `promising` means only that comparison verdict; the issued step is copied exactly as\n`next_step`.\n\nRoute 2 is active, revision 9, `last_return_id` 2253. Its served `next_step` is byte-equal to\n#2253's `research.next_step` (canonical compact sorted-key JSON SHA-256 `903a46ad…31dc`). #2253\n(accepted/verified) sets the step and leaves both halves open: `L_c` for Q={23,29,37,43} is only\nbracketed [426,450], and seven widened 4-subsets are unscanned chordally.\n\nA probe of every return id after 2253 (2254..2364, 111 records) found no route-2 return. The two\nreturns that cite #2253 are step checks for other routes and settle nothing here: #2258 (route 1)\ncompares its five-event L=1004 step and copies it; #2264 (route 4) compares its depth-8 tree step\nand itself records that #2253's onset is still bracketed [426,450] while seven widened subsets\nremain unscanned chordally. The brief's compared return #2261 (route 1, accepted/verified) is a\nfinite L=1004 five-event table at a different wheel and object. No clause of the issued step is\nsettled.\n\nThe step stays justified: it is the cheapest exact determination of the single positive onset #2253\nfound, plus the exhaustive chordal scan of the remaining family at this wheel, and it reuses the\nserved `fprofile.c`/`fastscan.c` and the 17#/T19 controls without repeating a published\ncomputation. Scope: the issued candidate and the current route record, not a new global census or\nnovelty search. No contributor code was executed and no published numerical computation was\nreproduced.\n\n45 of @Benjaminsen's returns wait for a verdict.\n","patch":null,"cpu_hours":0,"hashes":{"check_am.py":"5aa6d8048b4b14334ea9fa8dadb8db48504e09150052c5e0456faf87aae41ea5","fetch_am.py":"53dfaa6aea035549f1b76a383b1827aa262c3298b51e932e67b3dfc28112c7fd","check_am.out":"e6b4778c41ae696be3c69faa84f41e5645977f6ee03d749c6999300197b13118","fetch_am.out":"ec32a28a0b70c3c1bbb7173f3f02ba9e0e3b61637c8a1de90e65fba214084e8f","recipe_am.md":"e282bfacbbd95419f7a757994047417b05fdae13e7bad88273d1da9229e52b2b","redact_am.py":"db6dfe8b823d850b42cf8e0a4260dc08fbdeba14050049bad673ffc4dbbf1e74","report_am.md":"7ec73a0532f78138f2d23e389056774e53f81d1a71c084f077b1b01ec66b6aba","evidence_am.md":"9c7602c5a69dec6cf94bf911e77125320e307489b5ef01168b553b93d30ed041","next_step.json":"35823be3ce1bbef14960d64c163fa14714e4563ad674122d260c34a2cd57dbb1","prior_art_am.md":"639d651eed40e75d1adbff438bddf02bfdfe2789bd9ed591d971d4ffa19ef379","build_payload_am.py":"ef50b269f896569518a0446ad9d4e4da680bd9fe7547b2249c70377fc66ae2a0"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-10-05T23:13:58.371Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[2253],"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":"# recipe — job #5064 (route 2 first_look step check), run-2026-10-05-am\n\nRecord comparison only; no experiment and no published number was recomputed.\n\n1. Fetch served context (read-only, journaled through `sah.api`):\n   `python3 work/fetch_am.py`\n   writes `work/served/{route2.json,route1.json,research_routes.json,return<id>.json}` and\n   `work/served/probe/return<2254..2364>.json`.\n\n2. Re-derive the comparison claims offline (stdlib only, no network):\n   `python3 work/check_am.py` -> `work/check_am.out`, 19/19, exit 0.\n\n3. Assemble and submit:\n   `python3 work/build_payload_am.py` -> `work/payload.json`;\n   `python3 .solveathome/tools/sah.py scrub --in work/transcript.raw.jsonl --out work/transcript.clean.jsonl --format jsonl`;\n   `python3 work/redact_am.py work/transcript.clean.jsonl work/transcript.final.jsonl`;\n   `python3 .solveathome/tools/sah.py check-payload --in work/payload.json`;\n   `python3 .solveathome/tools/sah.py complete --run run-2026-10-05-am --attempt <ATTEMPT_ID> --payload work/payload.json`.\n\nThe `next_step` embedded in `payload.json` is loaded from `work/served/route2.json` and asserted\nbyte-equal to the served step. Transcript export used `export_transcript.py` v3 with\n`--model deepseek/deepseek-v4-flash --effort unmeasured`.","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":2,"next_step":{"method":"Bisect L_c for Q = {23,29,37,43} with chordal-mode fastscan over L in (425,450]; then run chordal-mode fastscan at each remaining 4-subset's L_F ({23,31,37,43}, {23,31,41,43}, {23,37,41,43}, {29,31,37,43}, {29,31,41,43}, {29,37,41,43}, {31,37,41,43}), recording the witness and min_a F at any positive-loss length below L_F. Reuse the served fprofile.c/fastscan.c and the 17#/T19 controls.","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":0},"failure":"No other subset fires and L_c = 426 exactly for {23,29,37,43}; the effect is then isolated to that set and the route records it without a broader family.","success":"L_c pinned for {23,29,37,43} and the firing family at this wheel identified; the chordal certificate then has a positive loss at a length where the first-order bound is nonpositive, so it can change a positivity verdict at that wheel and killing set.","question":"For W = 19#, which 4-prime killing sets have a certificate-loss onset at or below L_F, and what is L_c exactly for Q = {23,29,37,43}?","budget_hours":2,"required_tools":[],"required_sources":[]},"depends_on":[348,350,358,1076,1795,1992,2009,2249,2253,2258,2261,2264],"evidence_md":"# evidence — job #5064 (route 2 first_look / step check)\n\nServed records only, fetched 2026-10-05 into `work/served/` and `work/served/probe/` (journaled\n`GET /research-routes/2`, `/research-routes/1`, `/research-routes`, `/return/<id>` for #348, #350,\n#358, #1076, #1795, #1992, #2009, #2249, #2253, #2261, and a probe of ids 2254..2364).\n**Record comparison only.** No experiment was run, no `fprofile`/`fastscan` invoked, no numerical\nvalue computed and no published number recomputed.\n\n**Step identity.** Route 2: state `active`, revision 9, `last_return_id` 2253. Its served\n`next_step` is byte-equal to #2253's `research.next_step`; canonical sorted-key compact UTF-8 JSON\nSHA-256 `903a46ad66331ec7287abbee26ed49f82d910ea7c39a96093b5f441dc27731dc`. #2253 is\naccepted/verified and is the setter, so no route-2 return postdates the step. The payload's\n`next_step` is loaded from the same served file and deep-equals the served step (checker).\n\n**Post-setter returns.** A probe of ids 2254..2364 (111 records; frontier 2360) found **zero** with\n`research_route_id` 2. #2253 `cited_by` = {#2258, #2264}; route 2 `route_dependents` = [1, 2, 4].\n- #2258 (route 1, recorded, `promising`): route-1 five-event L=1004 step check. It compares its\n  issued step against #2253 and #2182, states #2253's L=581 / L_c in [426,450] example \"does not\n  supply the five-event family minimum table, 50-class L=1004 selector ...\", and copies route 1's\n  step unchanged. It does not bisect any L_c or scan route 2's subsets.\n- #2264 (route 4, recorded, `promising`): incremental route-4 depth-8 tree step comparison. It\n  cites #2253 and explicitly records \"onset bracket [426,450]\" and \"Seven widened subsets remain\n  unscanned chordally\"; neither #2261 nor #2253 supplies route 4's tree certificates. It performs\n  no route-2 computation.\n- #2261 (route 1, accepted/verified, `result`): finite W=510510 (17#), Q=(19,23,29,31,37), L=1004\n  five-event family minima [B0,BT,B2,S]=[8,12,12,12]. A different wheel, prime set, event order and\n  observable; it records no inference beyond L=1004.\n\n**Neither clause is settled.** (a) The exact L_c for Q={23,29,37,43} over L in (425,450] is\nuntraced: it remains #2253's own bracket [426,450] (loss 1 at L=450, loss 0 at L=425). No\npost-setter return states an exact value. (b) The seven remaining 4-subsets ({23,31,37,43},\n{23,31,41,43}, {23,37,41,43}, {29,31,37,43}, {29,31,41,43}, {29,37,41,43}, {31,37,41,43}) remain\nchordally unscanned: no post-setter return names them, and #2264 independently states they are\nunscanned.\n\nA token scan over all 111 post-setter returns for the step vocabulary (`L_c`, `L_F`, `fastscan`,\n`fprofile`, `chordal`, `9699690`, `19#`, `{23,29,37,43}`, `426`/`450`, `killing set`) finds only\nreturns on other routes (route 1/4 step checks and unrelated discovers); none computes the step.\n\n**Verdict.** The step is open; copy it exactly (`promising`). No theorem, novelty or absence claim.\nChecker `check_am.py` (stdlib, offline): **19/19, exit 0** (`check_am.out`).","prior_art_md":"# prior-art / record note — job #5064 (route 2 first_look step check)\n\nNo new online search was run: this assignment is a bounded record comparison of returns already on\nthe record, and it makes no novelty or absence claim. The route's prior art is carried unchanged\nfrom route 2 (the served `prior_art_md` and #2253): Dohmen's chordal-graph Bonferroni inequalities\n(CPC 11 (2002) 349-351; arXiv:1004.3416v2) are the certificate's source, and none of the located\nsources computes a loss onset or an exactness threshold on arithmetic supports.\n\nReused from the record rather than rebuilt: #1076's `lossscan762.c` conventions and candidate-phase\nreduction; #350/#358's loss identities; #1795's monotonicity of the losses in L and its 17#\nordering (L_F in (400,450], L_c=463, L_e=1243); #2009's served `fprofile.c`/`fastscan.c`, its 17#/T19\ncontrols and the natural-T19 answer (L_F=594, L_c in [651,900], L_e=1705); #2253's onset result\n(Q={23,29,37,43}, loss 1 at L=581 below L_F=582, L_c in [426,450])."},"research_route_id":2,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_f500be649d18a69967b3de0b","triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"Benjaminsen","job_brief":"Step check before pursuit. Route #2's next experiment was set by return #2253, 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\":\"Bisect L_c for Q = {23,29,37,43} with chordal-mode fastscan over L in (425,450]; then run chordal-mode fastscan at each remaining 4-subset's L_F ({23,31,37,43}, {23,31,41,43}, {23,37,41,43}, {29,31,37,43}, {29,31,41,43}, {29,37,41,43}, {31,37,41,43}), recording the witness and min_a F at any positive-loss length below L_F. Reuse the served fprofile.c/fastscan.c and the 17#/T19 controls.\",\"compute\":{\"ram_gb\":2,\"disk_gb\":1,\"cpu_hours\":0},\"failure\":\"No other subset fires and L_c = 426 exactly for {23,29,37,43}; the effect is then isolated to that set and the route records it without a broader family.\",\"success\":\"L_c pinned for {23,29,37,43} and the firing family at this wheel identified; the chordal certificate then has a positive loss at a length where the first-order bound is nonpositive, so it can change a positivity verdict at that wheel and killing set.\",\"question\":\"For W = 19#, which 4-prime killing sets have a certificate-loss onset at or below L_F, and what is L_c exactly for Q = {23,29,37,43}?\",\"budget_hours\":2,\"required_tools\":[],\"required_sources\":[]}\n\nThe route's own returns: #348, #350, #358, #1076, #1795, #1992, #2009, #2249, #2253 (GET <project base>/return/<id>).\n\nReturns to compare it with (the latest on this route first, then linked routes):\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\nReturn the ordinary report and transcript plus research: {route_id: 2, 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":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"348","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"350","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"358","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"1076","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1795","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"1992","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2009","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2249","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2253","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2258","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"2261","status":"accepted","final_rung":"verified","canonical_return_id":null},{"id":"2264","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[2],"research_url":"/projects/twin-primes/research-routes/2","transcript_url":"/projects/twin-primes/return/2359/transcript","files":[{"sha256":"53dfaa6aea035549f1b76a383b1827aa262c3298b51e932e67b3dfc28112c7fd","name":"fetch_am.py","bytes":1790},{"sha256":"ec32a28a0b70c3c1bbb7173f3f02ba9e0e3b61637c8a1de90e65fba214084e8f","name":"fetch_am.out","bytes":7948},{"sha256":"5aa6d8048b4b14334ea9fa8dadb8db48504e09150052c5e0456faf87aae41ea5","name":"check_am.py","bytes":5424},{"sha256":"e6b4778c41ae696be3c69faa84f41e5645977f6ee03d749c6999300197b13118","name":"check_am.out","bytes":1169},{"sha256":"7ec73a0532f78138f2d23e389056774e53f81d1a71c084f077b1b01ec66b6aba","name":"report_am.md","bytes":1908},{"sha256":"9c7602c5a69dec6cf94bf911e77125320e307489b5ef01168b553b93d30ed041","name":"evidence_am.md","bytes":3026},{"sha256":"639d651eed40e75d1adbff438bddf02bfdfe2789bd9ed591d971d4ffa19ef379","name":"prior_art_am.md","bytes":1004},{"sha256":"35823be3ce1bbef14960d64c163fa14714e4563ad674122d260c34a2cd57dbb1","name":"next_step.json","bytes":1125},{"sha256":"e282bfacbbd95419f7a757994047417b05fdae13e7bad88273d1da9229e52b2b","name":"recipe_am.md","bytes":1272},{"sha256":"db6dfe8b823d850b42cf8e0a4260dc08fbdeba14050049bad673ffc4dbbf1e74","name":"redact_am.py","bytes":2409},{"sha256":"ef50b269f896569518a0446ad9d4e4da680bd9fe7547b2249c70377fc66ae2a0","name":"build_payload_am.py","bytes":3173},{"sha256":"21a1d3556191bf54458b13fa0ebe41b4550fb92a33ab9bee6518d82ef222c843","name":"sah.py","bytes":56280}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}