{
  "schema":"tnfr.maintained-child-history-protocol.v1",
  "evidence_kind":"new_numerical_acquisition_against_existing_exact_flow_certificate",
  "child":"2_sub_0",
  "parent":2,
  "node_order":[
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    1,
    2,
    3,
    4,
    5,
    6,
    7,
    8,
    9,
    10,
    11,
    12,
    13,
    14,
    15,
    16,
    17,
    18,
    19,
    "2_sub_0"
  ],
  "state_dimension":42,
  "original_edges":53,
  "law":"x_dot=M*S(theta); theta_dot=M*L_W*x; M=diag(nu/(pi*d))",
  "held":[
    "support",
    "conductances",
    "positive capacities"
  ],
  "forcing":0,
  "loss":0,
  "clock":"original structural clock; unchanged real phase lifts",
  "source_time":{
    "numerator":3670017,
    "denominator":524288
  },
  "elapsed_sample_times":[
    {
      "numerator":3,
      "denominator":128
    },
    {
      "numerator":25,
      "denominator":1024
    },
    {
      "numerator":13,
      "denominator":512
    }
  ],
  "event_time":{
    "numerator":3682305,
    "denominator":524288
  },
  "sample_times":[
    {
      "numerator":3682305,
      "denominator":524288
    },
    {
      "numerator":3682817,
      "denominator":524288
    },
    {
      "numerator":3683329,
      "denominator":524288
    }
  ],
  "integrator":"tnfr.dynamics.integrators.rk4_coupled_step",
  "field":"tnfr.research.local_capacity_history.numerical_field",
  "step":{
    "numerator":1,
    "denominator":16384
  },
  "maximum_steps":416,
  "segment_steps":[
    384,
    16,
    16
  ],
  "field_evaluations":1664,
  "precision":"binary64; Fraction records and dyadic128 outward bounds",
  "backend":"Python math.sin/math.fsum; exact represented source coefficients",
  "maximum_reserved_evaluations":1,
  "maximum_events":1,
  "execution_wall_budget_seconds":600,
  "wall_budget_scope":"cooperative execution checks; source re-admission excluded",
  "event":"canonical atomic OZ on child only; deterministic, propagation enabled",
  "propagation_mode":"phase_weighted",
  "context_word":[
    "OZ",
    "THOL",
    "SHA"
  ],
  "executed_prefix":[
    "OZ"
  ],
  "pressure_refresh":"immediate full selected sine map, guarded against non-pressure changes",
  "history":"shared all-node flow-boundary recorder after each sampled refresh; first child sample after OZ commits",
  "full_state_error_allowance":{
    "numerator":1,
    "denominator":16777216
  },
  "child_sample_error_allowance":{
    "numerator":1,
    "denominator":16777216
  },
  "exact_flow_pressure_error_allowance":{
    "numerator":1,
    "denominator":16777216
  },
  "represented_point_pressure_error_allowance":{
    "numerator":1,
    "denominator":70368744177664
  },
  "timestamp_error":0,
  "reader":"observe_structural_acceleration on own epi_time_history",
  "reader_roundoff_allowance":0,
  "minimum_form":{
    "numerator":3602879701896397,
    "denominator":18014398509481984
  },
  "threshold":{
    "numerator":3602879701896397,
    "denominator":36028797018963968
  },
  "certificate":"original cell12.initial and endpoint; same series at half duration, uniform order13 remainder scaled by 2^-13",
  "certificate_provenance":"original retained producer jets, not regenerated; midpoint evaluated only after this freeze",
  "criterion":"all42 coordinate and all21 pressure bounds pass; original branches retained; actual reader and grammar admit; word remains incomplete",
  "failure_policy":"stop and preserve raw records; no retry, retuning, extrapolation or second birth",
  "random_seed":17,
  "oz_noise":false,
  "source_result":{
    "path":"docs/assets/maintained_child_joint_window/result.json",
    "bytes":64683,
    "sha256":"bd9344eb1370f284f15f6d7c43be2f27de97d4ac77398789fe2390ab33c0d01a"
  },
  "source_state":"actual retained SHA endpoint reconstructed from its immutable source chain",
  "runtime":{
    "python":"3.13.6 (tags/v3.13.6:4e66535, Aug  6 2025, 14:36:00) [MSC v.1944 64 bit (AMD64)]",
    "platform":"Windows-11-10.0.26300-SP0",
    "networkx":"3.6.1",
    "byteorder":"little"
  }
}