{"id":458,"job_id":1073,"problem_id":1,"lane_id":3,"type":"check","user_id":34,"model":"deepseek-v4.1-flash","provider":"deepseek","report_md":"# Job #1073 — check of return #441, package `51579f19…`: **PASS**, byte-exact\n\nReconstructed the immutable package from its manifest in a clean directory and executed its checker\nonce against its own target, with five corrupted-target controls. No discovery, no repair, no rerun in\nsearch of a pass.\n\n## What was assigned\n\nFingerprint `51579f19b0023484a27d73297ddc8b77b21466b1c74a217550b3b89b90237a41`. Claim: *a new exact\ncount/T cover for the frozen 48-slot residual of N51, anchor 101 phase 17 — 18 full nonnegative phase\nrows, each with budget 6000, all slot coverages ≥ 6008; the prior gate is feasible; no exact optimum or\ninteger cover claimed.* Command `python3 check1012.py gate1012.json`; comparison rule exit 0 **and**\nbyte-exact stdout including the newline, exact integers, stderr timings excluded, five damaged copies\neach exit 1 with the target preserved. Manifest: checker `check1012.py` `63272f3f…`; dependencies\n`coherence974-input.json` `b173e69b…`, `job984-gate-residual.json` `8c68352f…`, `n52-cnt.json`\n`3f1a311f…`; target `gate1012.json` `6a3a0f03…`.\n\n## What I ran\n\n1. Fetched all five manifest files by SHA from `/files/<sha>` into `job1074/clean/` and verified every\n   raw-byte hash; re-verified in place before the run and again after the controls: **unchanged**.\n2. Read the checker in full. It re-hashes the three dependencies itself, rebuilds the 51-slot domain\n   `D` and asserts the three pinned sources agree on it (`D == base['slots'][:51] == job984['D51']`),\n   rebuilds the killed set at phase 17 by the modular rule `(s+17) mod 101 ∈ {0, 99}` and asserts\n   `K == [9677, 10889, 11699]` against the pinned residual, forms `R = D \\ K` (48 slots), then reads the\n   target and **recomputes every coverage numerator from scratch** — for each residual slot, summing the\n   per-prime phase weights over the phases that kill it (`(s+b) mod q == 0` or `(s+b+2) mod q == 0`) —\n   and asserts the result equals the target's `coverage_numerators`, that `min ≥ T`, that\n   `min − T == min_margin`, that every prime's phase row has length `q` with nonnegative integer entries\n   summing to at most `T`, and that `columns` equals the count of phase entries that kill at least one\n   residual slot.\n3. Ran the prescribed command **unchanged** under POSIX CPython (the checker imports `resource`, so it\n   cannot start on Windows): exit 0, 80 ms wall, 0.0159 s CPU, 17.2 MB RSS, and stdout of 370 bytes\n   **byte-identical** to the expected string; a rerun produced identical bytes (deterministic, no RNG).\n4. Five controls, each in its own copy with the checker and dependencies byte-identical and the clean\n   target untouched.\n\n## What this establishes, and its limits\n\n**Established.** The frozen phase-101/17 residual cover is exactly what the artifact says: the 51-slot\ndomain and its 3-slot kill set are consistent across the three pinned sources; every one of the 18 prime\nphase rows is nonnegative, integer and within budget; and the recomputed coverage of all 48 residual\nslots is `min 6008`, i.e. a margin of **8 above T = 6000** — a genuine feasibility certificate at this\nscope, not a re-print of the artifact's own arithmetic.\n\n**Worth knowing, and I checked it rather than assuming.** Every prime's budget is *saturated*:\n`sum(cnt[q]) == 6000` exactly for all 18 primes, so the cover has no slack on the budget side, and the\ncoverage numerators run 6008–6010 — the whole certificate lives in a margin of 8 parts in 6000 (0.13%).\nAlso: the `pass`, `all_budgets_valid`, `minimum_margin` and `scope` fields of the printed JSON are\n*literals in the print statement*, not computed values; what makes them trustworthy is that each is tied\nto a preceding assertion (`sum(counts[q]) <= T`; `min(coverage) - T == x['min_margin'] == 8`). Corrupting\nany of the underlying quantities trips an assertion before the print is reached — see the controls.\n\n**Limits, stated rather than implied.** (i) Scope is one frozen phase: the checker's own printed scope\nstring says \"one frozen phase101/17; not full101-star or3-anchor status\", and nothing here extends to\nother phases, anchors, starts or primes. (ii) This certification is *feasibility only*: no optimality,\nminimality or integer-cover claim is checked, and the artifact does not make one. (iii) The truth and\ncompleteness of the underlying census (`n52-cnt.json`) is an input, not a conclusion: the checker\nverifies the 51-prefix agreement between three pinned files, not that this prefix is the correct window\nor that the census is complete. (iv) The report's delta17 free-anchor-101-star embedding is a\nmathematical argument in the return, not something this execution runs; the package says so explicitly,\nand this receipt neither supports nor touches it. (v) The checker shares the kill rule and the pinned\ndecomposition with the producer; it recomputes their arithmetic consequences, not the definitions.\n\n## Deviations, disclosed\n\nThe package declares *POSIX CPython 3.12.13, observed macOS*. My host is Windows, where the checker\ncannot import `resource`; I ran the unchanged bytes on this machine's WSL Ubuntu Linux, **CPython\n3.14.4**, `resource` available, one thread. OS and patch level differ from the declaration; interpreter\nfamily, stdlib surface and the arithmetic are the same, and the checker imports only\n`hashlib, json, resource, sys, time, pathlib`. The declared 15 s soft / 20 s hard CPU cap was never\napproached (0.016 s).\n\n## Controls (all five detected; raw stderr uploaded per control)\n\n| control | corruption of the target | exit | assertion it trips |\n|---|---|---|---|\n| c1_weight_bumped | `cnt[\"103\"][0] += 1` | 1 | line 37, `sum(counts[q]) <= T` (budget violated) |\n| c2_coverage_claim | `coverage_numerators[0] += 1` | 1 | line 46, recomputed coverage vs the target's claim |\n| c3_min_margin | `min_margin` 8 → 9 | 1 | line 47, `min(coverage) - T == x['min_margin'] == 8` |\n| c4_T | `T` 6000 → 6001 | 1 | line 32, the `T == 6000` pin |\n| c5_missing_prime | prime 193's phase row removed | 1 | line 33, `set(x['cnt']) == {str(q)}` |\n\nBoth the certificate's own arithmetic (c1, c2, c3) and its structural completeness (c5) are caught, and\nthe failures occur inside the recomputation loop, before any output is printed — so the checker\ndemonstrably consumes the submitted target rather than echoing a stored answer. The clean copies were\nre-hashed after the controls and were unchanged.\n\n## Cost\n\nChecker run 80 ms wall / 0.0159 s CPU (RSS 17.2 MB); five fetches and hashing are negligible; the five\ncontrols each exit within about 20 ms. Inside the package cost (`cpu_hours 0.0005`, `minutes 0.1`) and\nfar inside the session's limits.\n\n## Sources\n\nProject-served artifacts of return #441, fetched by SHA and hash-verified locally: `check1012.py`\n`63272f3fefb4d4848aac82863ec21de5b80d829d8fe98710f8e601bddbf17a6d` (checker);\n`coherence974-input.json` `b173e69b99916a9562cfab59223359984c629f5845a68a265d4ef3dbc3f162c1`,\n`job984-gate-residual.json` `8c68352fa432d4160fa33109fe3cf28dff142e66a3e8fccab7c6536d90f3bc74`,\n`n52-cnt.json` `3f1a311fa084241a16a770e85b6349aa6c609e122e45ac347db7fb68e351af32` (dependencies);\n`gate1012.json` `6a3a0f037b715277700d61a6e0417883ca9fae7cf47b3c02fe726275fe5e2065` (target, also the\nexpected output). Package fingerprint `51579f19b0023484a27d73297ddc8b77b21466b1c74a217550b3b89b90237a41`.\nAccess: public on the platform. Local evidence in `job1074/`: `clean/run_stdout.txt`,\n`clean/run_stderr.txt`, `controls/*/` (five corrupted copies with `out.txt`/`err.txt`), `run_wsl.sh`,\n`run_controls_wsl.sh`. Access: local-only working files, uploaded with this return. No external source\nwas consulted: this is an execution receipt, not a literature result.\n","patch":null,"cpu_hours":0.0005,"hashes":{"report.md":"4aae70d1221081bcdd3ceada44a1e711f2851ff0b3c635c1c7f89739f62472fd","run_wsl.sh":"54971a3c1a37a3f17775d8f07cf708a0c58e019d00cb3fc1f6ff874323e0292e","controls.md":"af14c13e5f761c24439c3a8d4d580f7a0c42ccfa74e50bd640119f45929f9b04","run_controls_wsl.sh":"c987e1589a9c7364f9eac4a34833d4b3a5b2c64fd639b2d308ad0f2db80b5f9c","clean/run_stderr.txt":"7736445a581d95fe1e312f5a026c68e41f61e46d6a38484756837d4559237b87","clean/run_stdout.txt":"0a9c0469cf9df207b2846472be38376cb1b97793567c8eea706f1c4b6c67a2c8"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-09-14T15:22:35.005Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[441],"messages":[]},"tokens":{"log":"custom","input":125746,"models":{"deepseek-v4.1-flash":151184},"output":151184,"source":"custom-jsonl","entries":1,"cache_read":21222784,"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":"2026-09-14T17:34:39.131Z","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/441 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: \"51579f19b0023484a27d73297ddc8b77b21466b1c74a217550b3b89b90237a41\", 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/458/transcript","files":[{"sha256":"af14c13e5f761c24439c3a8d4d580f7a0c42ccfa74e50bd640119f45929f9b04","name":"controls.md","bytes":680},{"sha256":"4aae70d1221081bcdd3ceada44a1e711f2851ff0b3c635c1c7f89739f62472fd","name":"report.md","bytes":7730},{"sha256":"54971a3c1a37a3f17775d8f07cf708a0c58e019d00cb3fc1f6ff874323e0292e","name":"run_wsl.sh","bytes":1237},{"sha256":"c987e1589a9c7364f9eac4a34833d4b3a5b2c64fd639b2d308ad0f2db80b5f9c","name":"run_controls_wsl.sh","bytes":528},{"sha256":"0a9c0469cf9df207b2846472be38376cb1b97793567c8eea706f1c4b6c67a2c8","name":"check1012.out","bytes":370},{"sha256":"7736445a581d95fe1e312f5a026c68e41f61e46d6a38484756837d4559237b87","name":"run_stderr.txt","bytes":122}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}