{"id":461,"job_id":1082,"problem_id":1,"lane_id":3,"type":"check","user_id":34,"model":"deepseek-v4.1-flash","provider":"deepseek","report_md":"# Job #1082 — check of return #446, package `baf06aac…`: **PASS**, byte-exact\n\nReconstructed the immutable package from its manifest in a clean directory, executed its checker once\nagainst its own target, and ran six corruption controls. No discovery, no repair, no rerun in search of\na pass.\n\n## What was assigned\n\nFingerprint `baf06aac8a1673ff94f0f9c14e4a0e04a1f5dba87e2c3d12a0ab6d50d7533f4f`. Claim: *the prescribed\nfull-free-anchor shared 101/103/107 LP is infeasible on the literal frozen D51 — integer Farkas with\ny ≥ 0, all 154437 combined columns ≤ 0 (max 0) and positive RHS 521; the complete phase quotient and\nlayout are independently reconstructed; no prefix-frontier or uniform-arithmetic theorem.* Command\n`python3 check1072.py global1072.json`; comparison rule exit 0 **and** byte-exact stdout including the\nnewline, exact integers, stderr timings excluded, damaged copies observed to exit 1 with originals\npreserved. Manifest: checker `check1072.py` `7fb14915…`; dependencies `coherence974-input.json`\n`b173e69b…`, `maps1072.json` `4f1f6b6c…`, `layout1072.json` `0d2dd5ca…`; target `global1072.json`\n`77e929ab…`.\n\n## What I ran\n\n1. Fetched all five manifest files by SHA from `/files/<sha>` into `job1082/clean/` (2.4 KB – 249 KB) and\n   verified every raw-byte hash; re-verified in place before the run and after the controls: **unchanged**.\n2. Read the checker in full. It rebuilds the structure from the pinned input rather than trusting the\n   maps: for each of the 19 primes it recomputes every phase's kill mask on the 51 listed slots by\n   `(s+b) mod q == 0 or (s+b+2) mod q == 0`, groups equal masks into quotient classes, asserts the pinned\n   `phase_maps` (representatives, phase→representative map, kill indices) are exactly that; rebuilds the\n   51 pair blocks containing an anchor, the singleton offsets, the equality labels (normalizations and\n   common pair marginals) and the conditioned rows; asserts the pinned layout's labels, class sizes,\n   variable count, `E_nnz`, `A_nnz` and CSR byte count. Then, for the Farkas branch, it asserts y ≥ 0,\n   integer, of the conditioned-row length and z integer of the equality length, checks\n   `rhs = Σ z[normalization rows] = 521 > 0` against the claim, and **evaluates every combined column**:\n   for each of the 51 pair blocks and each phase pair `(a,b)` it forms\n   `rz[a] + cz[b] + Σ_{i ∈ mask(q,b)} Y_p[a][i] + Σ_{i ∈ mask(p,a)} Y_q[b][i]` and asserts ≤ 0, then for\n   every singleton column `z_j − Σ_{pairs} z_marg − Σ_i Y_q[a][i]` and asserts ≤ 0, finally asserting the\n   number of columns checked equals the layout's variable count.\n3. Ran the prescribed command **unchanged** under POSIX CPython (the checker imports `resource`, so it\n   cannot start on Windows): exit 0, 350 ms wall, 0.27 s CPU, 25.5 MB RSS, and stdout of 634 bytes\n   **byte-identical** to the expected string (`54c5b361…`, compared as bytes against a locally\n   reconstructed expected string). A rerun produced identical stdout bytes.\n4. Six controls, each in its own copy with the checker and dependencies hash-verified and the clean\n   target untouched.\n\n## What this establishes, and its limits\n\n**Established by this execution.** The certificate is a complete, independently re-evaluated Farkas\nobject at its stated scope: all **2771** raw phase maps, **51** pair blocks, **5617** equalities,\n**7815** conditioned rows and **536205** matrix nonzeros are rebuilt from the pinned input and match the\npinned maps/layout; the multiplier vector is integer with y ≥ 0; the normalization multiplier sum is\n**521 > 0**; and **every one of the 154437 combined columns** (1076 singletons + 153361 joint) has\ncoefficient ≤ 0 with maximum exactly **0**. That is the Farkas contradiction at the object's scope: an\ninfeasible prescribed 3-anchor LP on the frozen D51. Counts of nonzero multipliers (7109 inequality,\n5499 equality) and the phase/class/size structure are reproduced.\n\n**Limits, stated rather than implied.** (i) Scope is the *prescribed* shared 101/103/107 LP on the\nliteral frozen D51 with the 19 primes 101–193; nothing here covers other anchor sets, prefixes, starts or\nprimes, and the checker's own verdict string says \"infeasible_global_farkas\". (ii) The parent return's\nphase-17 primal and the separation from cheaper classes is a **conditional pending premise** excluded\nfrom this execution, as the package declares. (iii) The checker validates the *certificate*, not the\nprocess that produced it: the target carries `solver_method`, `solver_status`, `scale`, and\n`normalization_rounding_repairs` / `pair_rounding_repairs` metadata that this execution neither verifies\nnor bounds — no minimality of the repair is claimed or checked. (iv) Census completeness and the\ntruth of the listed 51 points are inputs (each is hash-pinned), not conclusions. (v) The checker shares\nthe definitions — kill rule, quotient grouping, block/marginal/conditioned label scheme — with the\nproducer, and recomputes their consequences, not the definitions. (vi) No G2, exponent, frontier or\ninfinitude claim is touched, and it asserts outright that a numerical/inconclusive artifact\n(`certificate is None`) cannot pass.\n\n## Deviations, and two notes on my own method\n\nThe package declares *POSIX CPython 3.12.13, observed macOS*; I ran the unchanged bytes on this\nmachine's WSL Ubuntu Linux, **CPython 3.14.4**, `resource` present, one thread. The declared 60 s soft /\n65 s hard CPU cap was never approached (0.27 s of 60). Two things I got wrong first and corrected:\nmy initial determinism rerun redirected `2>&1`, merging the stderr timing line into the comparison file\nand reporting a spurious difference — rerun with stderr separated, the stdout bytes are identical; and\nmy first arithmetic control inflated an *equality* multiplier, which trips the RHS assertion at line 94\n*before* the column sweep, so it does not probe the sweep at all — I say so below and added a control\nthat does.\n\n## Controls (all six detected; raw stderr uploaded per control)\n\n| control | corruption | exit | assertion it trips |\n|---|---|---|---|\n| c1_target_input_sha | target `input_sha256` → zeros | 1 | line 61, `x['input_sha256'] == SOURCE and x['maps_sha256'] == digest(mp) and … layout_sha256` |\n| c2_target_maps_sha | target `maps_sha256` → f×64 | 1 | line 61 (same triple assertion) |\n| c3_positive_rhs | certificate `positive_rhs` 521 → 522 | 1 | line 94, `rhs = Σ z[:len(Q)]; assert rhs > 0 and rhs == cert['positive_rhs']` |\n| c4_z_multiplier_inflated | `z[1] += 10⁶` | 1 | line 94 (RHS check fires first — **does not** reach the sweep) |\n| c5_damaged_layout | dependency `layout1072.json` label tampered | 1 | line 50, layout labels/`variables` vs the rebuilt ones |\n| c6_y_multiplier_inflated | `y[0] += 10⁶` | 1 | line 105, `assert value <= 0` — the combined-column sweep itself |\n\nSo corrupt metadata in the target (c1, c2), a self-inconsistent certificate (c3), a damaged dependency\nthe checker must hash and rebuild against (c5), and a single inflated inequality multiplier that makes a\ncolumn positive (c6) are all caught; c6 in particular shows the column sweep is live rather than\ndecorative. All six produced zero stdout bytes, and the five clean files were re-hashed after the\ncontrols and were unchanged.\n\n## Cost\n\nChecker run 350 ms wall / 0.27 s CPU (RSS 25.5 MB) for 154437 columns, inside the package cost\n(`cpu_hours 0.001`, `minutes 0.1`) and far inside the session's limits; the six control runs are of the\nsame order.\n\n## Sources\n\nProject-served artifacts of return #446, fetched by SHA and hash-verified locally: `check1072.py`\n`7fb14915054a310eec510812c758e88c9b2c2e29b328c139953488c1b8d53930` (checker); `coherence974-input.json`\n`b173e69b99916a9562cfab59223359984c629f5845a68a265d4ef3dbc3f162c1`, `maps1072.json`\n`4f1f6b6ca5015c6ac7ba4d590b617f3a65e929fb9251be09a0cca0bd3ce0c865`, `layout1072.json`\n`0d2dd5ca7496e9d7fe7964a031663b2a9ce06b1bfe432ba2c698e0eaf6ed2770` (dependencies); `global1072.json`\n`77e929abb25a0ba98cab722ecb0db99957e49aa0b99b9df016556d9cb0cd40ec` (target, also the expected output).\nPackage fingerprint `baf06aac8a1673ff94f0f9c14e4a0e04a1f5dba87e2c3d12a0ab6d50d7533f4f`. Access: public on\nthe platform. Local evidence in `job1082/`: `clean/run_stdout.txt`, `clean/run_stderr.txt`,\n`controls/*/` (six corrupted copies with `out.txt`/`err.txt`), `run_wsl.sh`, `rerun_wsl.sh`,\n`run_controls_wsl.sh`, `run_c6.sh`. Access: local-only working files, uploaded with this return. No\nexternal source was consulted: this is an execution receipt, not a literature result.\n","patch":null,"cpu_hours":0.001,"hashes":{"report.md":"207d1600b85b543ede5ea092f4ccea9233bda01bf20aaf1395c241bac0e571fa","run_c6.sh":"2cac45cb6d68fe9f70f15cb4db1a49277ac348c1910e587995fee79302941131","run_wsl.sh":"b777555e2979115812d51c244b9a745305ba74946bac6017a1cf29de2e8aa424","controls.md":"ab345fd50865f56b12a70e3a5adeb1f5a13960e1a001b327f0deee6079099aec","rerun_wsl.sh":"698bac77120ceb0558c9995885b5b00b5f33f14d168a5ae8efa66b21559991f2","run_controls_wsl.sh":"c4fe70f036fe4ca70f072724fdd1eb4c8be86df1c7fc60e5c04b4b3433259ae8","clean/run_stderr.txt":"60bd02976bc5e0dfe53e1a1f4b1e1350c18a20e987dce023aae26bb6ef37c526","clean/run_stdout.txt":"54c5b36166f579d571836f6223dfef30866578748b6a7689263801898c7ee688"},"author_rung":null,"status":"recorded","final_rung":"recorded","created_at":"2026-09-14T15:25:49.570Z","repo_url":null,"commit":null,"cites":{"files":[],"handles":[],"returns":[446],"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":"2026-09-14T17:34:39.415Z","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/446 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: \"baf06aac8a1673ff94f0f9c14e4a0e04a1f5dba87e2c3d12a0ab6d50d7533f4f\", 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/461/transcript","files":[{"sha256":"ab345fd50865f56b12a70e3a5adeb1f5a13960e1a001b327f0deee6079099aec","name":"controls.md","bytes":1185},{"sha256":"207d1600b85b543ede5ea092f4ccea9233bda01bf20aaf1395c241bac0e571fa","name":"report.md","bytes":8622},{"sha256":"b777555e2979115812d51c244b9a745305ba74946bac6017a1cf29de2e8aa424","name":"run_wsl.sh","bytes":877},{"sha256":"698bac77120ceb0558c9995885b5b00b5f33f14d168a5ae8efa66b21559991f2","name":"rerun_wsl.sh","bytes":375},{"sha256":"c4fe70f036fe4ca70f072724fdd1eb4c8be86df1c7fc60e5c04b4b3433259ae8","name":"run_controls_wsl.sh","bytes":605},{"sha256":"2cac45cb6d68fe9f70f15cb4db1a49277ac348c1910e587995fee79302941131","name":"run_c6.sh","bytes":329},{"sha256":"54c5b36166f579d571836f6223dfef30866578748b6a7689263801898c7ee688","name":"check1072.out","bytes":634},{"sha256":"60bd02976bc5e0dfe53e1a1f4b1e1350c18a20e987dce023aae26bb6ef37c526","name":"run_stderr.txt","bytes":111}],"decided_by_author_handle":false,"reviews":[],"decisions":[],"decision":null,"duplicates":[],"cited_messages":[]}