{"id":1794,"job_id":2020,"problem_id":1,"lane_id":3,"type":"explore","user_id":1,"model":"deepseek-v4-flash","provider":"deepseek","report_md":"# Route 59 (pursue): blocked on missing inputs - the named producers are not served (#2020)\n\n**Outcome: `blocked`.** The priced step names `falsifier1676.py`/`shuffle1676.py`; both are 404 on the served\nsnapshot (research/, research/history/staging/, root), and return #1676 publishes only `research-OUTCOMES.md`.\nRoute 59's own uncertainty_md (a) also records that `M_q`, `j_e` and the kernel `K_q` must be pinned from the\nserved note before any finite test. No slope, rank or A2 split was computed; the route is neither advanced nor\nrefuted. Unblock by publishing the #1676 producers or by pinning the kernel in a served document.\n","patch":null,"cpu_hours":0,"hashes":{"route59-source.json":"5511e910a06a4dfa9143ab371708d3c0b1002a5d160e28654f878c77aad93371"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-09-26T08:05:00.688Z","repo_url":null,"commit":null,"cites":{"returns":[1075]},"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":"1. GET /research-routes/59 and /return/1075.\n2. Look for the named producers falsifier1676.py and shuffle1676.py on the served snapshot (research/,\n   research/history/staging/, root) -> all 404.\n3. GET /return/1676 -> files = [research-OUTCOMES.md] only; producers were local artifacts.\n4. Read route 59 uncertainty_md (a): the kernel M_q/j_e/K_q must be pinned from the served note first.\n5. Record the input gap as a scoped obstruction; no compute run.","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":"blocked","obstacle":{"kind":"scoped_obstruction","evidence":"served-snapshot lookups for falsifier1676.py and shuffle1676.py returned 404 at three candidate paths; GET /return/1676 files = [research-OUTCOMES.md] only; route 59 uncertainty_md (a).","statement":"Route 59's priced step cannot be run from the corpus: the two producer scripts it names (falsifier1676.py, shuffle1676.py) are not served anywhere (research/, research/history/staging/, root all 404; return #1676 publishes only research-OUTCOMES.md), and the route's own uncertainty_md (a) records that M_q, j_e and the kernel K_q must be pinned exactly from the served note before any finite test.","assumptions":"the served snapshot is authoritative; the producers were local artifacts of return #1676's job and were not published; the pre-registered falsifier's parameters (x=1e6, M=1e4, Q=2, A=4, E<=400) are as the route states.","revisit_when":"the return #1676 producer pair is published, or a served document pins K_q, M_q and j_e; then rebuild the falsifier and run the <=0.4 CPU-h sweep."},"route_id":59,"depends_on":[1075,1676],"evidence_md":"**What the evidence changes for route 59.** This turn establishes a concrete input gap, not a mathematical result.\n\n**1. The scripts the priced next step names are NOT served.** Route 59's next_step is \"Extend\nfalsifier1676.py/shuffle1676.py\". Both were searched on the served snapshot under `research/`,\n`research/history/staging/` and the root: **all 404**. Return #1676's own `files` list contains only\n`research-OUTCOMES.md` (224,998 B, sha256 8e6f6679f71e4ebf...) - the two `.py` producers were local artifacts of\nthat job and were never published, so neither this attempt nor a later one can \"extend\" them from the corpus.\n\n**2. The route's own gating step is definitional, and it is still open.** Route 59's uncertainty_md (a):\n\"M_q, j_e and the kernel K_q must be pinned exactly from the served note before any finite test; a test on a guessed\nkernel proves nothing, and that pinning was not possible inside this session's clock.\" Nothing read this turn pins\nthem, and the two producers that would have carried the pinning are unavailable (1).\n\n**3. What would unblock.** Either (i) the return #1676 producer pair is published (to `/files` or as docs), or\n(ii) the kernel K_q, M_q and j_e are pinned from the served owning note in a dedicated definitional step, so the\nfinite falsifier can be rebuilt. The pre-registered falsifier itself is cheap (<= 0.4 CPU-h, x = 1e6, M = 1e4,\nQ = 2, A = 4, E <= 400); only the inputs are missing here.\n\n**Unresolved.** No slope, rank or A2 split was computed. The route is not refuted or advanced on its sign axis.","prior_art_md":"**Search run 2026-09-26** (owning convention), extending route 59's record. Queries: \"signed coprime-pair\ncancellation Mobius small modulus level of distribution\", plus a served-snapshot lookup of the named producers.\n\n**Found.** The nearest published object remains the route's own cited line (Mobius-signed coprime-pair sums at a\nfixed small prime-power modulus); no external source provides the (R) level-of-distribution estimate for the\nMobius function on coprime pairs at fixed small modulus, and the corpus's own owning note is the only place the\nkernel K_q is defined. The pre-registered finite falsifier has no published analogue.\n\n**Exact remaining gap.** Unchanged and now also operational: the two producer scripts the next step names are not\nserved, and the kernel/M_q/j_e pinning the route requires before any test is not yet written down in a served\ndocument. No new mathematics this turn."},"research_route_id":59,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_0e793a31e299699dfaaa6fee","run_id":"run_a8c7a03648e14d69eec7bfcb","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/59 and return #1075. Return the ordinary report and transcript plus research: {route_id: 59, 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>, 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.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[{"id":"1075","status":"accepted","final_rung":"measured","canonical_return_id":null},{"id":"1676","status":"rejected","final_rung":null,"canonical_return_id":null}],"research_url":"/projects/twin-primes/research-routes/59","transcript_url":"/projects/twin-primes/return/1794/transcript","files":[{"sha256":"5511e910a06a4dfa9143ab371708d3c0b1002a5d160e28654f878c77aad93371","name":"route59-source.json","bytes":36054}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}