{
  "slug": "2026-09-09-sustaining-pipe-turbulence",
  "empirical": {
    "table_rows": 92,
    "decay_rows": 48,
    "splitting_rows": 44,
    "fit_coefficients": {
      "decay": [
        0.005898,
        -9.187
      ],
      "splitting": [
        -0.003165,
        9.287
      ]
    },
    "fit_crossing_Re": 2038.3978814961933,
    "individual_tau_at_crossing": 25101006.00101131,
    "mean_first_event_time_if_independent": 12550503.000505654,
    "life_point_estimate_ratio_141D_over_29D_Re2015": 922.3300970873786,
    "splitting_point_estimate_ratio_36D_over_134D_Re2232": 3.1578947368421053,
    "limits": "Published fit/CI summaries, not raw event-time refits. Delta columns reproduce the authors' reported 95% fitting uncertainty. Ratios are point estimates without reconstructed joint uncertainty. Rounded fit coefficients do not determine an exact physical critical Reynolds number."
  },
  "finite_model": {
    "n": 10,
    "lambda": 2.0,
    "initial": "all active",
    "time_unit": "isolated site mean lifetime",
    "configurations": 1024,
    "results": {
      "ring": {
        "mean_absorption_time_all_active": 9.539536356904371,
        "P_survival_at_20": 0.08148658582235557,
        "P_survival_at_100": 6.356080971547939e-07,
        "expected_fraction_at_20": 0.028208335486338578,
        "backward_equation_residual": 2.6645352591003757e-13
      },
      "all_to_all": {
        "mean_absorption_time_all_active": 18.428042321321982,
        "P_survival_at_20": 0.3349771706087544,
        "P_survival_at_100": 0.0025851231669491437,
        "expected_fraction_at_20": 0.1633533182345957,
        "backward_equation_residual": 3.518296765037121e-13,
        "independent_count_chain_max_difference": 1.1102230246251565e-15
      }
    },
    "pure_death_check_max_error": 5.551115123125783e-16,
    "limits": "Finite illustrative Markov chains; not puff-calibrated, no fluid velocity profile, no pushing, no continuum or infinite-size critical-point claim. Mean-field comparison is explicitly a different closure."
  },
  "provenance": {
    "source": "Lemoult et al. 2024 Supplementary Information, Tables I–II and V.B.2",
    "si_sha256": "87a4d1ddc8bf21122569319675d12f8d73a46685c411cd3e99126a923bc2947a",
    "figures": "Original library plots; published statistical summaries explicitly separated from illustrative model."
  }
}