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  "protocol_version": "1.0.0-proposed",
  "protocol_document_status": "proposed",
  "verification_revision": "2026-09-16.o3-analytic",
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    "seed": "20260916.mc-o3",
    "independent_of_iut": true
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  "claim_scope": "O2-A: analytic σ / moments / Cp* Cpk* vs separate-module identities (≤2 ULP). O2-B: seeded mulberry32+Box-Muller replay of mean/std/percentiles/yield (≤2 ULP). Not measured SPC. NORTA Pearson ≠ latent ρ; NORTA sampling remains Evidence regression. ≤2 ULP vs O3 applies only to the published tabulated analytic σ / moments / stack_center vectors (independent normal, correlated normal, gap, uniform, asymmetric uniform, triangular, k=1 3-4-5, single). Seeded MC statistics, NORTA, Sobol, and Shapley are not O3-compared.",
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    "regenerate_table": "python3 generate-monte-carlo-tolerance-o3.py",
    "regenerate_table_repo": "python3 scripts/lib/cvp/oracles/generate-monte-carlo-tolerance-o3.py",
    "independent_rest": "Compare POST /api/v1/calc/monte-carlo-tolerance against /developers/cvp/reproduce/monte-carlo-tolerance-o3-tables.json",
    "run_cvp": "npm run cvp:run -- --capability engineering.tolerance.monte_carlo",
    "rest_example": "POST https://www.calculatorx.com/api/v1/calc/monte-carlo-tolerance"
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    "table_url": "https://www.calculatorx.com/developers/cvp/reproduce/monte-carlo-tolerance-o3-tables.json",
    "generator": "/developers/cvp/reproduce/generate-monte-carlo-tolerance-o3.py",
    "generator_url": "https://www.calculatorx.com/developers/cvp/reproduce/generate-monte-carlo-tolerance-o3.py",
    "checker": "/developers/cvp/reproduce/check-math-o3-rest.py",
    "checker_url": "https://www.calculatorx.com/developers/cvp/reproduce/check-math-o3-rest.py",
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    "this_file": "/evidence/engineering.tolerance.monte_carlo/reproduce.json"
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