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  ],
  "construction": {
    "equation": "C = diag(stat^2) + outer(sys, sys)",
    "assumptions": [
      "Published pointwise statistical errors are independent.",
      "The stated 3.4% normalization systematic is 100% correlated across energy.",
      "Unreleased partial correlations are unavailable, not zero.",
      "The resulting covariance is a declared lower-bound approximation, not source data."
    ],
    "guidance": {
      "organization": "IAEA Nuclear Data Services",
      "title": "Experimental Nuclear Reaction Data Uncertainties",
      "url": "https://www-nds.iaea.org/nrdc/india/ws2017/epnrdm2017/smith.pdf",
      "relevant_practice": "Approximate covariance may be constructed from uncertainty components by treating total systematic uncertainty as fully correlated."
    }
  },
  "matrix_diagnostics": {
    "shape": [
      41,
      41
    ],
    "symmetric": true,
    "minimum_eigenvalue_mb2": 0.0021239200479241166,
    "statistical_trace_mb2": 77.5023426993279,
    "systematic_trace_mb2": 14150.316376582143
  },
  "reactivity_propagation": [
    {
      "temperature_kev": 150.0,
      "reactivity_m3_s": 1.8618182263954095e-22,
      "jacobian_units": "(m^3 s^-1) per millibarn",
      "relative_sd_statistical": 0.001664033949029264,
      "relative_sd_correlated_systematic": 0.03400000750705663,
      "relative_sd_assumption_derived_total": 0.0340407038626323,
      "linear_mc": {
        "seed": 6113526,
        "samples": 20000,
        "relative_sd": 0.03386003151056465,
        "relative_difference_from_analytic_sd": 0.005307538668904477,
        "interpretation": "Seeded linear-response check of J C J^T; not a nonlinear posterior and not a confidence interval."
      },
      "diagnostics": {
        "minimum_covariance_eigenvalue_mb2": 0.0021239200479241166,
        "euler_homogeneity_relative_error": 3.342193582856997e-09
      }
    },
    {
      "temperature_kev": 200.0,
      "reactivity_m3_s": 2.940082606748348e-22,
      "jacobian_units": "(m^3 s^-1) per millibarn",
      "relative_sd_statistical": 0.0014643721143388336,
      "relative_sd_correlated_systematic": 0.03400000836302845,
      "relative_sd_assumption_derived_total": 0.034031528828062624,
      "linear_mc": {
        "seed": 6114026,
        "samples": 20000,
        "relative_sd": 0.03395443357733484,
        "relative_difference_from_analytic_sd": 0.002265406620939422,
        "interpretation": "Seeded linear-response check of J C J^T; not a nonlinear posterior and not a confidence interval."
      },
      "diagnostics": {
        "minimum_covariance_eigenvalue_mb2": 0.0021239200479241166,
        "euler_homogeneity_relative_error": 3.3114718971799532e-09
      }
    },
    {
      "temperature_kev": 300.0,
      "reactivity_m3_s": 4.353488995559971e-22,
      "jacobian_units": "(m^3 s^-1) per millibarn",
      "relative_sd_statistical": 0.0012121364911529718,
      "relative_sd_correlated_systematic": 0.03400000965353961,
      "relative_sd_assumption_derived_total": 0.03402160976958573,
      "linear_mc": {
        "seed": 6115026,
        "samples": 20000,
        "relative_sd": 0.03422982117413276,
        "relative_difference_from_analytic_sd": 0.006119975096920886,
        "interpretation": "Seeded linear-response check of J C J^T; not a nonlinear posterior and not a confidence interval."
      },
      "diagnostics": {
        "minimum_covariance_eigenvalue_mb2": 0.0021239200479241166,
        "euler_homogeneity_relative_error": 3.3191188481471535e-09
      }
    }
  ],
  "maturity": "VERIFIED_KERNEL",
  "claim_boundary": "Completes internal covariance propagation under declared assumptions. It does not supply the publication's missing point-to-point covariance, does not validate the cross section, and does not quantify model-form error."
}