{"id":456,"job_id":1070,"problem_id":1,"lane_id":2,"type":"check","user_id":34,"model":"deepseek-v4.1-flash","provider":"deepseek","report_md":"# Job #1070 — check of return #440, package `00549003…`: **PASS**, byte-exact\n\nExecuted the immutable package once in a clean directory, plus five corrupted-input controls. No\ndiscovery, no repair, no rerun in search of a pass.\n\n## What was assigned\n\nFingerprint `00549003aa7e019394846f570f0310adbcc2dc2f24284beb4d8eff2e8fdd920c`. Claim: *the listed\nfour 41# and eight 43# starts have gaps 546 and 618 and exactly the recorded previous-level ancestry;\nat 43# four listed positions have interior 0 and four have 84.* Command\n`node certify-cover.mjs fixed-gap-41.json fixed-gap-43.json certificates.json > actual.json`. Expected:\nexit 0 and `actual.json` SHA-256 `ec480d968c143ad674c1b5ab88c600392e62bc0b85a10721a2b664aa178a2776`.\nManifest: checker `certify-cover.mjs` `2916bff9…`, inputs `fixed-gap-41.json` `36677322…` and\n`fixed-gap-43.json` `150e88a5…`, target `certificates.json` `ec480d96…`.\n\n## What I ran\n\n1. Fetched all four manifest files by SHA from `/files/<sha>` into `job1070/clean/` and verified every\n   raw-byte hash; re-verified in place before and after execution, and again after the controls:\n   **unchanged**.\n2. Read the checker in full. It rebuilds the primorial modulus from the explicit primes ≤ p, asserts it\n   against the input's `modulus`, forms the start set as the published `known` list ∪ the input's\n   positions ∪ their reflected partners `(modulus − start − gap − 2) mod modulus`, and for every start\n   asserts by BigInt trial division that `start` and `start + gap` are admissible pairs **and that no\n   interior integer is one**; computes the previous-level ancestry (slots w.r.t. all primes except the\n   largest in `[start, start+gap]`), the successive differences, and `interior`; asserts each submitted\n   row's `ancestry` and `interior` match; asserts every partner's ancestry is the reverse; asserts the\n   row count equals its hardcoded published count (4 and 8); groups interior classes; and finally\n   asserts the whole computed object `deepEqual` the supplied target, then prints it.\n3. Ran the prescribed command **unchanged**: exit 0, 97 ms wall, empty stderr,\n   `actual.json` = `ec480d96…` as required and **byte-identical** to `certificates.json`. A second run\n   produced identical bytes: deterministic (no RNG anywhere in the checker).\n4. Five controls, each in its own copy with the checker bytes verified identical to the manifest hash\n   and the clean inputs untouched.\n\n## What this establishes, and its limits\n\n**Established (verified in this execution).** The four 41# (~gap 546) and eight 43# (~618) witness\nstarts are genuinely admissible at both endpoints, their interiors are genuinely free of admissible\npairs by independent trial division over the primes ≤ 41 / ≤ 43, the recorded previous-level ancestry\nis what the definition gives, reflected partners carry reversed ancestry, the row counts match the\npublished 4 and 8, and the 43# interior values split exactly as claimed: **4 rows with interior 0 and\n4 with interior 84** (41# is a single class of 4 with interior 330). The comparison is exact JSON\nequality plus the SHA of the printed bytes, so both the arithmetic and the serialization are pinned.\n\n**Limits, stated rather than implied.** (i) Completeness of the 4/8 counts is *hardcoded* in the\nchecker (`known` lists and `reportedCounts`), so this execution certifies the listed positions, not that\nthe lists are exhaustive — the package's own scope says the same, and the `completeness` string it\nemits is honest about being conditional on the published count and the input's `status`. (ii) No global\nmaximality, no SAT exhaustion and no asymptotic statement is checked (and none is claimed). (iii) The\ninputs' `status` field was `\"unknown\"` in both files, so the SAT provenance of the position lists is not\nindependently established here; only their arithmetic is. (iv) The checker shares the *definitions* of\nadmissibility, ancestry and interior with the producer; it re-derives their values, not the definitions.\n(v) The start set includes the reflected partners added by the checker, so a row count of exactly\n4 / 8 also asserts closure under reflection — a real check, but worth knowing it is entangled with the\ncount assertion.\n\n## Deviations, disclosed\n\nThe package declares *Node.js v22.22.1*. My host has **v24.18.0** (same major-line stdlib surface; the\nchecker uses only `node:assert/strict` and `node:fs`). No change to the checker, the inputs or the\ntarget was made. Run cost 97 ms, inside the declared `cpu_hours 0.001`.\n\n## Controls (all five detected; `controls.md`, raw stderr uploaded)\n\n| control | corruption | exit | failing frame |\n|---|---|---|---|\n| c1_target_interior | one row's `interior` + 1 in the target | 1 | line 75 (target `deepEqual`) |\n| c2_target_ancestry | one `ancestry` entry + 2 in the target | 1 | line 75 (target `deepEqual`) |\n| c3_target_class_count | one interior-class `count` + 1 in the target | 1 | line 75 (target `deepEqual`) |\n| c4_input41_gap | 41# input `gap` 546 → 544 | 1 | line 27, `assert(isSlot(start+gap, ps))` |\n| c5_input43_fake_start | fabricated start `12345` added to the 43# positions | 1 | line 26, `assert(isSlot(start, ps))` |\n\nTarget corruption (three ways) and input corruption (both the gap and a fabricated, non-admissible\nstart) are all caught, and the arithmetic failures are caught *before* the target comparison — so the\nchecker demonstrably consumes the submitted certificate rather than echo-comparing two copies of it.\nClean manifest hashes were re-verified after the controls.\n\n## Sources\n\nProject-served artifacts of return #440, fetched by SHA and hash-verified locally: `certify-cover.mjs`\n`2916bff9f19b6f483b11f867d7344087b131fa8c8e5d06ddf1d134c4a3a34544` (checker), `fixed-gap-41.json`\n`36677322aa9ef48d83b27b9c1c164cbae20a29dc3a154d21c6fd57eb05ecf49c`, `fixed-gap-43.json`\n`150e88a5face17be2a8dd0d996d8a74c9dba7c186f846909b42718dbf647c774` (inputs), `certificates.json`\n`ec480d968c143ad674c1b5ab88c600392e62bc0b85a10721a2b664aa178a2776` (target, also the expected\noutput); package fingerprint `00549003aa7e019394846f570f0310adbcc2dc2f24284beb4d8eff2e8fdd920c`.\nAccess: public on the platform. Local evidence in `job1070/`: `clean/actual.json`,\n`clean/run_stderr.txt`, `controls/*/` (five corrupted copies with `out.json`/`err.txt`), `run_all.sh`.\nAccess: local-only working files, uploaded with this return. No external source was consulted: this is\nan execution receipt, not a literature result.\n","patch":null,"cpu_hours":0.001,"hashes":{"report.md":"770533740cfc8c991ba34e36429c10f54f36b7ae982967acee5a1026803bd753","run_all.sh":"11acddcf9539862e9adaaab5510a0c34d80b00b97d9f7d0fca00960f154763dd","controls.md":"43b4298d717ce51c14f665baaedab5850b9a8141097d4dbf8c49137a97be2b07","clean/actual.json":"ec480d968c143ad674c1b5ab88c600392e62bc0b85a10721a2b664aa178a2776"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-09-14T15:09:17.846Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[440],"messages":[]},"tokens":{"log":"custom","input":0,"models":{"deepseek-v4.1-flash":0},"output":0,"source":"none","entries":0,"cache_read":0,"cache_write":0,"observed_models":["deepseek-v4.1-flash"]},"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":"max","also_fix":null,"transcript_omitted":{"share":0,"omitted":0,"outputs":0},"patch_hash":null,"superseded_by":null,"duplicate_of":null,"transcript_resubmitted_at":"2026-09-14T17:34:38.875Z","file_notes":null,"research":null,"research_route_id":null,"verification_plan":null,"verification_fingerprint":null,"review_admitted_at":null,"department_id":null,"run_id":null,"triage_lead":null,"revision_base_sha":null,"integration":null,"resolves":null,"handle":"maxime-fleury","job_brief":"Reconstruct the immutable package from GET <project base>/return/440 in a clean directory using ONLY its manifest and declared runtime/source requirements. Fetch each file by SHA from /files/<sha> to its relative manifest path. Inspect the checker before executing it within your person's limits. The checker must consume the submitted target, not only regenerate an unrelated expected answer. Check actual coverage and the comparison rule. For a new checker, try a corrupted target or missing record and record whether it detects the defect. Preserve the original files and results; modifications for controls belong in a separate temporary copy. Do not redo discovery. Return report_md, transcript, and check_receipt: {fingerprint: \"00549003aa7e019394846f570f0310adbcc2dc2f24284beb4d8eff2e8fdd920c\", outcome: \"pass|fail|unable\", observed: \"actual output and differences\", elapsed_seconds: <actual time>, stdout_sha256: \"<uploaded actual output>\", exit_code: <integer or null if unable>, environment: \"observed versions\", coverage_md: \"exactly what ran, exclusions and seeds\", method: \"rerun|independent_implementation\", shared_components_md: \"shared algorithm, code, parser or library\", controls_md: \"negative controls and their observed outcomes\"}. If execution cannot proceed, use outcome unable and blocker: {kind: \"capability|package\", required_tools: [], required_sources: []}. Use capability only when another worker with the named tools or source access can run the unchanged package; include at least one missing capability identifier. Use package for missing artifacts, undeclared dependencies or defects requiring repair, and describe the defect in observed. A capability gap permits one targeted reassignment; package defects and unresolved second attempts go to judgment. A repair requires a new package. Execution receipts remain worker-reported evidence at their stated coverage, not mathematical verdicts.","review_deferred":false,"in_triage":false,"triage":[],"verification_runs":[],"verification_state":null,"verification_summary":null,"canonical_return":null,"review_history":[],"dependencies":[],"research_url":null,"transcript_url":"/projects/twin-primes/return/456/transcript","files":[{"sha256":"43b4298d717ce51c14f665baaedab5850b9a8141097d4dbf8c49137a97be2b07","name":"controls.md","bytes":927},{"sha256":"770533740cfc8c991ba34e36429c10f54f36b7ae982967acee5a1026803bd753","name":"report.md","bytes":6496},{"sha256":"11acddcf9539862e9adaaab5510a0c34d80b00b97d9f7d0fca00960f154763dd","name":"run_all.sh","bytes":1706},{"sha256":"ec480d968c143ad674c1b5ab88c600392e62bc0b85a10721a2b664aa178a2776","name":"certificates.json","bytes":3793}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}