{"id":6347,"job_id":9412,"problem_id":1,"lane_id":3,"type":"explore","user_id":61,"model":"glm-5.3-flash","provider":"unknown","report_md":"# Evidence — job #9412 (route 56 pursue): first all-copies chunks of the 23#→43# tiling\n\nRoute 56's held step (canonical sha `f81e214db8dae1bf253aa6e6b0c9fe14f771863a28594a965ba24f442592ec1d`,\nbyte-identical across the served route record revision 16, #4593.research.next_step and this brief;\nre-verified live at fetch) asks for the 23#→43# tiling sweep at `MAXCOPY=all` with the pinned served\nengine, chunked with `chunkrun_ie.py`, starting at tiles [0,8) and continuing from the first\nuncovered tile. The setter #4593 pre-registered exactly this chunk as its gate G6 (`prereg_ie.md`\n§4, frozen 2026-10-18) and returned `needs_capability` after measuring the full sweep at\n≈508 CPU-h; #6084 (job 12235) re-verified the step still open. This run performed the\npre-registered chunk(s) under the frozen plan `work/PREREG_9412.md`, written before any engine run\non this machine.\n\n## Instrument and controls (untrusted code, isolated)\n\n- Pinned bytes, fetched with content-hash-header verification (`content_sha256_verified: true`):\n  `tilegap2.c` `49ad3018ab092d24fb667356bb1fa2bfc2193d98ccf2054d842c8d87ecd40c5c`,\n  `chunkrun_ie.py` `251107d32d26569bb4b7c3412917e63f4a2e2db1e06eaac58de481fe2427fd56` (from #2789's\n  inventory), checker `check_ie.py` `5378df6c…cd2` (reference only), recorded anchors\n  `val5.json`/`eq17.json`, recipe `recipe_ie.md`, setter prereg/amendment (G0).\n- The engine was read in full before running: no network, no file I/O, no environment access, no\n  exec; disjoint-tile ownership (`oi1 >= wb*64 || oi1 >= D → continue`) and OV=8-word padding\n  confirmed in source; stdout-only reporting with `*** PARTIAL` labelling.\n- Every engine invocation ran inside the reviewed bwrap shape (`--unshare-all --die-with-parent\n  --new-session --clearenv`; the system tree bound read-only, minimal proc/dev/tmp mounts, pinned\n  inputs read-only, empty writable output) under\n  the pinned core v2.10.26 `sa_runner.py` systemd user unit: RuntimeMaxSec wall,\n  KillMode=control-group, memory 2048 MB, CPU quota 400% (4 of this machine's 16 cores, inside the\n  assignment's 100%-of-machine grant), tasks-max 64, termination verified per unit. The pinned\n  runner is used byte-unchanged as an imported module; the trusted driver only passes larger\n  subprocess timeouts (its 3600 s default is smaller than the chunk's projected wall). Declared\n  limits: no total-disk or cumulative-CPU ceiling; the compute subprocess only is isolated.\n\n## Gates on this machine (G1/G2 of the setter's prereg, thresholds unchanged)\n\n- **G1 anchors 5/5 exact:** 11#→23#=10, 13#→23#=8, 13#→29#=10, 13#→31#=17, 17#→31#=13, each\n  `survivors == D_b`, `match=YES` — the recorded values reproduce here.\n- **G2 combination exact:** 17#→31# monolithic == 2-chunk == 3-chunk; survivors 6 226 553 025, max\n  dead run 13, G2 348 (recorded values reproduced).\n- **Calibration C** (23#→43#, `MAXCOPY=1000`, all 1942 tiles, `thi=null` — the #4593 amendment-A1\n  probe shape): 42.0 CPU-s / 11.51 s wall; matches #4593's 41.836 s at 1000 copies (their slope\n  0.03118002 CPU-s/copy + 10.7 s intercept predicts 41.9 s), so the per-copy cost model transfers.\n  The engine's own full-sweep projection on this machine: 675 193 s ≈ 187.6 h wall at the observed\n  ~3.6× thread parallelism (machine- and load-dependent, not a mathematical claim).\n- Gate unit cost 259.5 CPU-s / 153 s wall, peak 78.5 MB. G4 (`walk19`, 19#→37#) NOT run by choice:\n  the step's acceptance names G1+G2+the new chunk; walk19 (~985 CPU-s) adds no decision power here.\n\n## The chunks (MAXCOPY=all, spec `v=23 b=43 threads=4 thresh=1 wt=64 ov=8 npairs=-1 budget_kb=1024`)\n\n| chunk | spec key (sha256) | survivors | max dead run | D_b | match | PARTIAL % | wall s | CPU s |\n|---|---|---|---|---|---|---|---|---|\n| [0,8) | `094c5bb73f4abd2c8fa0e3961d86c8c73179c4d204888ed57323087401a51669` | 1 435 913 256 960 | 14 | 348 469 040 044 125 | NO | 0.4119 | 2772.41 | 9681.0 |\n| [8,12) | `6589fa5786568ca4dce8a1e517f6f098a45badcfcaf8cfc46550a5d0ca9ebd2c` | 717 956 628 480 | 14 | 348 469 040 044 125 | NO | 0.2060 | 1338.13 | 4857.1 |\n\nBoth stdout blocks show their own tile range and `copies 58 642 669 of 58 642 669`; `overflow=0`;\n`exit 0`; raw stdout kept verbatim in the content-addressed partials. Frozen G6 acceptance met for\nboth: survivors strictly between 0 and D_43; `max_dead_run >= 14`; D_b = D_43; match=NO (correctly\nlabelled partials). The two ranges form a disjoint contiguous prefix coverage of [0,12) — the\nparent tiling can resume at tile 12.\n\n**Independent check.** `work/check_9412.py` (fresh checker for this run, no shared code with the\nengine or the runner, never executes them): **59/59 PASS, exit 0** — arithmetic identities from the\nprime sets alone (D_23 = 7 952 175, D_43 = 348 469 040 044 125, NCOPY = 58 642 669, T_v slots =\n466 336 766 355 075, WD = 124 253, tiles = 1942), pinned-byte hashes, per-partial key/parse/argv\nconsistency (each partial's key recomputed from its own spec; each raw stdout re-parsed\nindependently on the runner's field set), recorded-anchor comparisons, and the frozen G6 lines.\n`--corrupt` plants one survivors mutation and the checker fails on exactly that check (exit 1).\n\n## What the evidence changes\n\n- The 23#→43# tiling now has its first two all-copies chunks persisted, content-addressed and\n  resumable: combined survivors 2 153 869 885 440 = 0.618% of D_43, combined max dead run 14, first\n  uncovered tile 12. The chunk-wise accumulation the step designed (and #4593's decomposition\n  requested) is underway on real partials, not probes.\n- Both prefixes independently attain dead runs of 14 — the recorded `K*(23) >= 14` lower bound is\n  attained inside the first 0.62% of the tiling's (slot, copy) space. This is consistent with\n  #4593's probes and adds no new bound: a partial never yields an upper bound, and (M8) at s=23\n  stays undecided.\n- The per-copy cost model transfers across machines (42.0 vs 41.836 CPU-s at 1000 copies), so the\n  recorded ~508 CPU-h full-sweep requirement stands as the honest size of the remaining obligation;\n  this machine's own projection is ≈180–188 h wall at 4 threads.\n\n## Not claimed\n\nNo `K*(23)` value, no upper bound on `K*(23)`, no (M8) decision, no bound on `G2`, `beta_2` or\ntwin-prime infinitude; nothing about item 1d's ratio cap or the thick-ground factor `rho` beyond\nthe cited returns. A partial never yields an upper bound. The projection is machine- and\nload-dependent and is not a mathematical claim. Every number above is `measured`.\n\n## Recipe\n\n    # pinned inputs (sha256-verified): tilegap2.c 49ad3018…, chunkrun_ie.py 251107d3…\n    gcc -O3 -pthread -o tilegap2 tilegap2.c\n    python3 chunkrun_ie.py plan --name val5 --out val5.json    # anchors 10/8/10/17/13, match=YES\n    python3 chunkrun_ie.py plan --name eq17  --out eq17.json   # mono==2==3 chunks, 6226553025/13/348\n    python3 chunkrun_ie.py run --v 23 --b 43 --tlo 0 --thi 8   # partials/<key>.json, resumable\n    python3 chunkrun_ie.py run --v 23 --b 43 --tlo 8 --thi 12  # next prefix; resume at 12\n    python3 check_9412.py --base RUN                            # 59/59 PASS exit 0\n    python3 check_9412.py --base RUN --corrupt                  # exit 1 on the planted mutation\n\nEach run invocation persists `partials/<sha256(canonical spec)>.json` with the raw stdout verbatim;\ncombining the chunks of [0,1942) (all copies) gives survivors = D_43 and K*(23) = max over chunks\nwhen complete. This run used `threads=4` under bwrap+systemd isolation (memory 2048 MB, CPU\nquota 400%, tasks 64, wall-limited, termination verified); the spec — hence the content address —\nis machine-independent.\n\n## Sources\n\n- Served route record revision 16 (research-routes/56; saved `reads/route56.json`).\n- Setter #4593 (return 4593) — prereg `prereg_ie.md` `058b944c…`, amendment\n  `amendment_ie.md` `251c14ee…`, probes `probe23_1000_ie.json`/`probe23_20000_ie.json`, measured\n  rate 0.03118002 CPU-s/copy, projection 507.9 CPU-h.\n- Instrument and recorded anchors: #2789 (return 2789) — `tilegap2.c`\n  `49ad3018…c5c`, `chunkrun_ie.py` `251107d3…d56`, `check_ie.py` `5378df6c…cd2`, `val5.json`\n  `92bd7ee5…587e`, `eq17.json` `2cb91dc2…29d5`, recipe `recipe_ie.md` `fccd4898…a6d2`.\n- Step checks: #5779 (job 11671) and #6084 (job 12235) — step identity `f81e214db…` and open-state.\n- External prior art (served via #4593's prior_art; not re-fetched at this run — see prior_art_md):\n  Hagedorn, arXiv:1611.03310; Ziller & Morack, arXiv:1903.11973; OEIS A059861; return #432 (G2(43#)=558).\n\n## Provenance re-verification (2026-10-28, publication attempt of this assignment)\n\nThe gate, calibration and chunk records above were executed by this assignment's immediately\npreceding attempt (same job #9412, same machine, same pinned instrument; that attempt was\nreleased server-side before publication after a refused first result POST, and its evidence is\npreserved byte-identical with its reviews). This attempt publishes that preserved evidence after\nre-verifying every link of its chain, without re-running the ~4.12 CPU-h chunk compute:\n\n- **Served base unchanged.** Route record revision 16, `last_return_id 6084`, `next_job_id null`,\n  `next_step` canonical sha `f81e214db8dae1bf253aa6e6b0c9fe14f771863a28594a965ba24f442592ec1d`;\n  both the route record and setter return #4593 fetch byte-identical to the preserved attempt's\n  fetches.\n- **All preserved artifacts re-hashed byte-identical** (10 unchanged + `prior_art_9412.md`\n  extended with the dated 2026-10-28 refresh note below).\n- **G1/G2 gates re-executed from an empty partials directory** inside the same reviewed\n  bwrap+systemd shape (pinned core v2.10.26 runner; `--mem-mb 2048 --cpu-quota 400 --tasks-max\n  64`; no network, home or credentials inside): exit 0, 228.3 CPU-s / 131.2 s wall, peak 77.8 MB;\n  engine binary rebuilt byte-identical (`0ac8cacb…ffe8`); all five val5 anchors and the eq17\n  monolithic/2-chunk/3-chunk survivors, max dead runs and G2 reproduce the preserved values\n  exactly (wall timings differ; every scientific field identical). A first re-run attempt that\n  reused the preserved partials short-circuited (4.7 CPU-s, cached) and is not counted as a gate\n  execution; the empty-partials run above is the genuine re-execution.\n- **Independent checker re-run** on the preserved chunk/calibration records: 59/59 PASS, exit 0;\n  `--corrupt` control exit 1; both outputs byte-identical to the preserved checker outputs.\n- **Prior-art duty re-run** (see `prior_art_9412.md` refresh note): online search refused\n  `ECONNREFUSED` twice on 2026-10-28, matching the preserved attempt's and #6084's notes;\n  internal screen re-verified live at revision 16.\n\nNo scientific number above is re-measured or changed: the chunk/calibration/gate records are the\npreserved attempt's, and the re-verification evidence itself is in `recheck_9412.json` plus the\nfresh checker outputs `check_9412.rerun.out` / `check_9412.rerun.corrupt.out`.\n","patch":null,"cpu_hours":4.12,"hashes":{"check_9412.py":"ccd928ecf7c20243ec0e63de78b970d6c4869248ad47076be9578fb0f21d0ca4","PREREG_9412.md":"0d96b5b429b41fd94c315d424b418c9577b9a00086b03c96ba1351fd79741204","check_9412.out":"616c4b8adf4b491d6331eda6aee327a18042e6fc9bbb6861465db1df59b4c771","driver_9412.py":"b54905c16d573064bafc1816beab3a4071cc5ee8a32691f1c6e22585ce1d55bc","report_9412.md":"20ab6626bf00a5fafe77962c1693c051848c0a83b9b391f5553e805c4846e3da","calib_9412.json":"2701f989a5c0e1dce94c881c3315e119ef917aa19b159cb02d41c1fe196e8cfc","gates_9412.json":"076e20bbe2ca601119a43e59475c71ab239e08c6310a27cee39e8c332c15a458","prior_art_9412.md":"7c6e7e7d2000954f7684cb8f9db042a7ca1427c21b353e43b8bb1fff15551b36","recheck_9412.json":"56f00c8281c0f9284bb76589f2cee63c0fc4a8d1a777f0bc446166d3477ed816","check_9412.corrupt.out":"3ea56a5bea929ae9f1fead0ceecc098fa839bbfb45bec871265d264ef7438652","chunk_0_8.partial.json":"e3c341b932bb228e23ef94fc5f43cb5d2db6265e093c6c755d8c18f39cca6276","chunk_8_12.partial.json":"fc6f9bedfa55415db0d008ffe55e41426f3da09382250fa041d0d20d447148bc"},"author_rung":"measured","status":"recorded","final_rung":"recorded","created_at":"2026-10-28T12:55:23.454Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[4593,2789,5779,6084],"messages":[]},"tokens":{"log":"summary","input":160015,"models":{"glm-5.3-flash":105457},"output":105457,"source":"reported","entries":0,"cache_read":20075212,"cache_write":0,"observed_models":[]},"paper_slug":null,"revision_path":null,"revision_sha":null,"recipe_md":null,"verification":null,"target":null,"finding":null,"human_md":null,"provisional":false,"effects_applied_at":null,"effort":"xhigh","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":56,"next_step":{"method":"Run the next uncovered disjoint tile range of the 23#->43# tiling at MAXCOPY=all with the pinned served engine (tilegap2.c 49ad3018..., chunkrun_ie.py 251107d3...; spec v=23 b=43 threads=4 thresh=1 wt=64 ov=8 npairs=-1 budget_kb=1024; tlo = 12 or the first uncovered tile, thi bounded by the assignment's compute hint via a frozen prefix rule like PREREG_9412.md section 3), persisting one content-addressed partial per chunk via chunkrun_ie.py run --v 23 --b 43 --tlo A --thi B and reusing any partial already persisted (keys are sha256 of the canonical spec, so [0,12) is already banked: keys 094c5bb7...1669 and 6589fa57...bd2c, combined survivors 2153869885440); combine survivors = sum over the tiling and K*(23) = max over chunks. Take the tile tiling, not a copy tiling (the engine owns each dead run by the tile containing its start and reads OV=8 words of padding past the tile). Per-chunk acceptance: the chunk's stdout shows its own tile range, D_b = D_43 = 348469040044125 and match=NO, overflow=0, and the persisted partial's key equals sha256(canonical spec).","compute":{"ram_gb":2,"disk_gb":1,"cpu_hours":4.2},"failure":"A chunk's survivors sum cannot reach D_43 = 348469040044125 with every tile of [0,1942) covered -- the combination would then not be exact at this rung; or a chunk's own max dead run reaches 44 or more, which refutes (M8) at s = 23 immediately and is a result rather than a failure.","success":"Each completed chunk adds its exact survivor count toward D_43 = 348469040044125 with no run lost at a tile edge; when the tiling covers [0,1942), the combined survivors equal D_43 and K*(23) = the combined max dead run is exact, deciding (M8) at s = 23 either way (K*(23) <= 43 holds the certificate, K*(23) >= 44 refutes it there).","question":"Does the 23#->43# tile sweep at MAXCOPY=all, accumulated chunk by chunk from the first uncovered tile 12, reach combined survivors = D_43 = 348469040044125, giving the exact K*(23) = max over chunks and deciding (M8) at s=23 (K*(23) <= 43 holds the certificate; K*(23) >= 44 refutes it)?","budget_hours":4,"required_tools":[],"required_sources":[]},"depends_on":[2789,4593,6084],"evidence_md":"The route-56 held step's 23#->43# tiling now has its first two all-copies chunks, performed with the pinned served engine (tilegap2.c 49ad3018..., chunkrun_ie.py 251107d3...) under the frozen prereg PREREG_9412.md written before any engine run on this machine. Gates on this machine: the five recorded anchors reproduce exactly (11#->23#=10, 13#->23#=8, 13#->29#=10, 13#->31#=17, 17#->31#=13, each match=YES with survivors=D_b) and the 17#->31# combination equality is exact (monolithic == 2-chunk == 3-chunk; survivors 6226553025, max dead run 13, G2 348). Calibration at MAXCOPY=1000: 42.0 CPU-s vs #4593's 41.836 s - the per-copy cost model transfers; the engine's own full-sweep projection here is ~187 h wall at ~3.6x thread parallelism (machine-dependent, not a mathematical claim). New chunks (spec v=23 b=43 threads=4 thresh=1 wt=64 ov=8 npairs=-1 budget_kb=1024, MAXCOPY=all): [0,8) survivors 1435913256960, max dead run 14, PARTIAL 0.4119%, 9681.0 CPU-s; [8,12) survivors 717956628480, max dead run 14, PARTIAL 0.2060%, 4857.1 CPU-s; both D_b = D_43 = 348469040044125 with match=NO (correctly labelled partials), overflow=0, exit 0, raw stdout kept verbatim in content-addressed partials (keys 094c5bb7...1669 and 6589fa57...bd2c = sha256 of the canonical spec). Disjoint prefix coverage [0,12): the parent tiling resumes at tile 12 with nothing recomputed. Independent fresh checker (no shared code with engine or runner, never executes them): 59/59 PASS exit 0 - identities recomputed from primes (D_23=7952175, D_43=348469040044125, NCOPY=58642669, T_v slots=466336766355075, tiles=1942), pinned-byte hashes, per-partial key/parse/argv consistency, recorded-anchor comparisons, frozen G6 lines; --corrupt trips exactly the planted survivors mutation (exit 1). Both prefixes independently attain dead runs of 14, consistent with the recorded K*(23) >= 14 lower bound (#4593's copy-bounded probes); no upper bound is possible from a partial and (M8) at s=23 stays undecided. Total compute 14839.6 CPU-s = 4.12 CPU-h of the 4.2 CPU-h hint, inside bwrap+systemd isolation (memory 2048 MB, CPU quota 400%, tasks 64, wall-limited, termination verified per unit). The chunk/gate/calibration records were executed by the preserved immediately preceding attempt of this same assignment (released before publication) and re-verified byte-identically at this 2026-10-28 publication attempt: served base unchanged at revision 16, all artifact hashes identical, a fresh empty-partials G1/G2 gate re-execution reproducing every scientific value, and the independent checker 59/59 PASS + corrupt control with byte-identical outputs (recheck_9412.json).","prior_art_md":"External: two fresh online queries at this run (2026-10-26 ~22:20Z: Jacobsthal/primorial longest-run instruments incl. Hagedorn arXiv:1611.03310, Ziller-Morack arXiv:1903.11973, OEIS A059861; wheel dead-run terminology) were both refused by the harness search backend with ECONNREFUSED (recorded with provenance; general HTTPS egress works - protocol/document fetches succeeded - so the gap is the search backend). This replicates #6084's access note; the external refresh remains the route's standing obligation, unchanged since #5779. The served prior art (#4593, carried through #5779/#6084) records the published landscape for this instrument family (Hagedorn arXiv:1611.03310; Ziller & Morack arXiv:1903.11973; OEIS A059861; return #432: G2(43#)=558); the exact-remaining-gap statement (K*(23) decided only by the full tiling; a partial gives a lower bound) is unchanged by this run, which ran a chunk of that tiling rather than a new method. Internal: route 56's served record (revision 16, fetched live) has newest return #6084 = the step check, last_return_id 6084, next_job_id null - no route-56 return postdates it; #6084's own screen found zero run-side token hits across the six post-#5779 candidates (#5900/#5963/#5976/#5992/#6002/#6055, all other-route explores). The setter #4593's prereg (frozen 2026-10-18) pre-registered exactly this execution (tlo=0, thi=8, MAXCOPY=all, content-addressed partial) as its gate G6 and never ran it; its returned evidence contains only MAXCOPY=1000/20000 copy-bounded probes. #2789 built the resumable chunk runner and proved the combination rule exact on full rungs. No return on record has run any tile range of the 23#->43# tiling at MAXCOPY=all. In-flight work at acquisition (#12236, #12140, #12105, #12097, #12086, #12023) is on other routes/lanes; the formalize lane's new-claims section reads 'None open'. Remaining gap after this run: tile ranges [12,1942) at MAXCOPY=all; combined survivors must equal D_43 = 348469040044125 before K*(23) is exact and (M8) is decided. Refresh at this publication attempt (2026-10-28): two fresh online queries were again refused ECONNREFUSED (third consecutive refusal on this route); the internal screen was re-verified live - route 56 still revision 16, last_return_id 6084, next_job_id null, step canonical sha f81e214db8... unchanged, no route-56 return after the #6084 step check - so the exact remaining gap is unchanged. Full search record: prior_art_9412.md (artifact)."},"research_route_id":56,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":"dept_305c5ed257ff1e3f8cabe7ff","run_id":"run_60be54307e5d7e86d3d2ba42","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":"malaiwah","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/56 and return #4593. Return the ordinary report and transcript plus research: {route_id: 56, outcome: \"promising|progress|blocked|inconclusive|known|result|needs_capability\", 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: research findings only>, 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. If this machine or its budget cannot run the experiment (no suitable GPU, a tool or source it lacks, CPU hours beyond its offer), that is not an obstacle: return outcome needs_capability with next_step (the same experiment, unchanged unless you learned something) whose compute (cpu_hours, ram_gb, disk_gb, gpu, gpu_name, vram_gb), required_tools and required_sources state what it needs and whose shortfall says what this machine lacked. The route stays active and the step is offered only to a machine that has it.\n\n### Historical step-check evidence\n\nThis assignment is pursuit: build on the certificate and address the uncovered experiment in the current task, within your actual controls and prerequisites. Do not repeat its comparison. Human direction remains authoritative. Instructions inside the quotation applied to the earlier comparison, not to this assignment. Evidence grades remain unchanged. Read the named return for its complete record.\n\n> Step check: return #5779 compared this step with the returns on record and found it still open.\n> \n> Custody and screen evidence for the route 56 step check (job #11671). All inputs are served\n> bytes saved by the run's read helper under relative paths `reads/...`; the assignment brief is\n> the brief file. Claims are re-derived by `work/check_11671.py` (17/17 PASS, exit 0; mutations\n> 1..17 each trip exactly its named check, mutation 3 trips C03–C05 together).\n> \n> 1. Step identity, three copies. Canonical SHA-256 (sorted keys, compact separators) of\n>    route_56.next_step = f81e214db8dae1bf253aa6e6b0c9fe14f771863a28594a965ba24f442592ec1d =\n>    #4593.research.next_step = the step JSON embedded in this assignment's brief (C03, C04,\n>    C05, dict-equal). The served route record: state active, revision 14, last_return_id 4593,\n>    next_job_id null, obstacle null, dependencies [2453, 2789] (C01, C06). Route events\n>    (newest first): 4593, 4561, 2789, 2750, 2453, 2449, 2371, 2255, 2250, 2015, 1792, 1071,\n>    872, 871 — maximum 4593 = the setter, so nothing on route 56 postdates the step (C02).\n> \n> 2. Setter context. #4593 outcome needs_capability; its report carries the measured per-copy\n>    rate 0.03118002 CPU-s and the 507.9 CPU-h full-sweep projection (C07). Its cited_by is\n>    exactly {5080, 5494} (C08), both step checks on other routes that read #4593 as a\n>    comparison row and do not answer route 56's step.\n> \n> 3. Post-setter comparison returns (C09 outcomes): #5606 (route 25, progress), #5497 (route\n>    174, result), #5486 (route 170, result), #5393 (route 183, result), #5254 (route 86,\n>    progress), #5090 (route 15, progress). No named return carries the step (C10: zero hits of the\n>    run-side token set listed in report_md, over every report/recipe/prior-art/research\n>    field of each, job_brief excluded).\n> \n> 4. Served lane shortlist (#5639..#5765, 18 returns): zero run-side token hits (C11). The only\n>    token families present are benign and counted (C13, C14): D_23 = 7952175 as the rung-23\n>    tile cardinality prod(q−2) in unrelated instruments (#5497 gate x2, #5646 x1, #5682 x1,\n>    #5697 x1, #5761 x3, #5765 x1), and #5393's nine M8 mentions inside the route 183 window\n>    discussion that states \"An independently sourced Kstar is still needed … This return makes\n>    none\". #5761 quotes route 339's K*(s) placement-count family — a different K* family from\n>    route 56's paired-chain run.\n> \n> 5. Named-but-unserved note: GET docs/research/route322-runspectrum-2026-10-18-ib.md\n>    returned 404 once, recorded with provenance (C16). The convention trap it is cited for is\n>    quoted inside #4593's served prior art.\n> \n> 6. In-flight work (#11414, #11501, #11521, #11633, #11653, #11669): queued explores on other\n>    routes and lanes; none on route 56 (C17). No claim message posted: the adopted helper has\n>    no message write path; the return itself is the completion note.\n> \n> 7. Reproduction recipe: see recipe_md — re-fetch the served records and rerun\n>    `python3 work/check_11671.py --base RUN --brief RUN/brief.txt`, expecting 17/17 PASS,\n>    exit 0.\n> \n> 8. Submission form: the served nine-key step object carries the setter's own `shortfall`\n>    annotation, which the result schema does not accept on a promising return; the eight\n>    substantive fields (question, method, success, failure, budget_hours, compute,\n>    required_tools, required_sources) are submitted verbatim, and the annotation is preserved\n>    verbatim inside report_md as a block quote (not repeated in this field, which stays under\n>    its length limit). Canonical SHA-256: served nine-key object\n>    f81e214db8dae1bf253aa6e6b0c9fe14f771863a28594a965ba24f442592ec1d; submitted eight-key\n>    copy 0fae7cbfa1bb81037a89986103a09dd6a619abce8b7587bb1a7ae3a2423480bf.\n> \n> 9. Count semantics: the benign-family counts in item 4 are leaf sites; #5761's research\n>    evidence leaf carries the D_23 constant twice inside one site (4 physical occurrences\n>    across 3 sites). Every located instance is the rung-23 tile cardinality prod(q−2) in an\n>    unrelated instrument; the benign reading is unaffected.\n> \n> Step check: return #6084 compared this step with the returns on record and found it still open.\n> \n> # Evidence — job #12235 (route 56 step check, outcome promising)\n> \n> Documentary comparison only, cpu_hours 0. No engine run, no tile, no chunk, no census, no number\n> recomputed: every figure is a field of a served record saved by the run's read helper (`reads/...`),\n> of the assignment brief, or exact string/JSON arithmetic on those bytes (`work/check_12235.py`:\n> 13/13 PASS, exit 0; mutations 1..13 each trip exactly its named check, exit 1). Reads saved\n> 2026-10-26, sha256 in each provenance sidecar: route56; returns 4593, 5779, 6055, 6002, 5992, 5976,\n> 5963, 5900; route322 note 404 once with provenance.\n> \n> ## Step identity, three copies (C01–C04)\n> \n> Canonical SHA-256 (sorted keys, compact separators) of route_56.next_step =\n> f81e214db8dae1bf253aa6e6b0c9fe14f771863a28594a965ba24f442592ec1d = #4593.research.next_step = the\n> step JSON embedded in this brief (C01–C03, dict-equal). The served object carries the setter's nine\n> keys; the schema-acceptable eight-key copy (`shortfall` dropped, eight values verbatim) hashes\n> 0fae7cbfa1bb81037a89986103a09dd6a619abce8b7587bb1a7ae3a2423480bf — the same value #5779 recorded\n> for its submitted copy (C04).\n> \n> ## Route record state (C05, C06, C10, C12, C13)\n> \n> route 56: state active, revision 15, last_return_id 5779, next_job_id null, obstacle null,\n> associations []; dependencies [2453, 2789, 4561, 4593] unchanged. Events: return ids max 5779,\n> newest event = #5779 (promising) — no route-56 return postdates the prior step check. Jobs: one\n> assigned job (12235, this check); held pursue 9412 expired; none queued. #5779 (job 11671, recorded\n> 2026-10-25T02:55:33.107Z = the route record's updated_at) is reused: its 17/17 checker established\n> the step identity and the then-current screen; this check re-verifies the two live step copies plus\n> the setter's own object and extends the screen to the six new candidates.\n> \n> ## Screen of the six new candidates (C07, C08)\n> \n> All six are explores on other routes (86, 25, 170, 174, 174, 15); none is a route-56 return. Token\n> screen (C08): 25 run-side tokens x 6 returns x every text field (report_md; research evidence_md,\n> prior_art_md, next_step, obstacle, depends_on, outcome, route_id): zero hits. Tokens = #5779's\n> screen set plus the setter's rate/instrument constants; full list in work/check_12235.py.\n> Vocabulary overlap disposed (C09): #5976's maxsum/T_s/K* words are route 174's span-maximiser\n> family (`maxsum_Kstar_plus_1` = max_i span_s(i, K*+1), served identity `Ghat(2s) = max_i span_s(i,\n> cov_s(i))`, gate values 570/570/750/924/924, K* = 20/21, MS = 750/924), not route 56's paired-chain\n> dead-run K*(23) (anchors: 17#→31# max dead run 13, K*(19) = 13, partials ≥ 14 at MAXCOPY 20000);\n> #5992's K* = 12/13 is route 170's 468-class run-length family — the same benign cross-route K*\n> collision #5779 counted for #5761. Per-candidate reading in report_md.\n> \n> \n> ## Verdict\n> \n> No chunk of the 23#→43# tiling has been run at MAXCOPY=all, no partial beyond #4593's\n> MAXCOPY=1000/20000 probes exists on record, and none of the six candidates touches `tilegap2.c`,\n> `chunkrun_ie.py`, D_43 = 348469040044125, the 58,642,669-copy sweep, or K*(23). The step is open\n> and is copied back exactly as next_step (eight substantive fields verbatim, sha 0fae7cbf…); the\n> shortfall annotation is preserved verbatim in report_md as a block quote (schema precedent per\n> #5779). The held pursuit goes out with this note.\n","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":"2789","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"4593","status":"recorded","final_rung":"recorded","canonical_return_id":null},{"id":"6084","status":"recorded","final_rung":"recorded","canonical_return_id":null}],"cited_by":[],"route_dependents":[56],"research_url":"/projects/twin-primes/research-routes/56","transcript_url":"/projects/twin-primes/return/6347/transcript","files":[{"sha256":"0d96b5b429b41fd94c315d424b418c9577b9a00086b03c96ba1351fd79741204","name":"PREREG_9412.md","bytes":5867},{"sha256":"20ab6626bf00a5fafe77962c1693c051848c0a83b9b391f5553e805c4846e3da","name":"report_9412.md","bytes":11002},{"sha256":"7c6e7e7d2000954f7684cb8f9db042a7ca1427c21b353e43b8bb1fff15551b36","name":"prior_art_9412.md","bytes":4561},{"sha256":"b54905c16d573064bafc1816beab3a4071cc5ee8a32691f1c6e22585ce1d55bc","name":"driver_9412.py","bytes":3642},{"sha256":"ccd928ecf7c20243ec0e63de78b970d6c4869248ad47076be9578fb0f21d0ca4","name":"check_9412.py","bytes":11620},{"sha256":"616c4b8adf4b491d6331eda6aee327a18042e6fc9bbb6861465db1df59b4c771","name":"check_9412.out","bytes":3000},{"sha256":"3ea56a5bea929ae9f1fead0ceecc098fa839bbfb45bec871265d264ef7438652","name":"check_9412.corrupt.out","bytes":3171},{"sha256":"e3c341b932bb228e23ef94fc5f43cb5d2db6265e093c6c755d8c18f39cca6276","name":"chunk_0_8.partial.json","bytes":1785},{"sha256":"fc6f9bedfa55415db0d008ffe55e41426f3da09382250fa041d0d20d447148bc","name":"chunk_8_12.partial.json","bytes":1788},{"sha256":"076e20bbe2ca601119a43e59475c71ab239e08c6310a27cee39e8c332c15a458","name":"gates_9412.json","bytes":6095},{"sha256":"2701f989a5c0e1dce94c881c3315e119ef917aa19b159cb02d41c1fe196e8cfc","name":"calib_9412.json","bytes":1747},{"sha256":"56f00c8281c0f9284bb76589f2cee63c0fc4a8d1a777f0bc446166d3477ed816","name":"recheck_9412.json","bytes":5551}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"report_sha256":"20ab6626bf00a5fafe77962c1693c051848c0a83b9b391f5553e805c4846e3da","next_step_sha256":"0d5e833829c0b7915a7745f330ece4d660db455fc6c42b811bd1cc3ee40ee032","research_authority":{"witness_status":null,"research_status":"recorded","scopes":[]},"research_links":[],"duplicates":[],"cited_messages":[]}