{
  "schema_version": 1,
  "schema_id": "qft.quantum-information.free-fermion-local-kick-fronts.v1",
  "artifact_id": "qft.artifact.quantum-information.free-fermion-local-kick-fronts",
  "claim_boundary": "finite_open_free_fermion_lattice_supports_selected_diagnostic_specific_finite_time_ballistic_leading_contours_near_vgmax_2_and_finite_time_entropy_threshold_width_favors_sublinear_candidates_over_constant_and_linear_controls_exponent_not_identified_vgmax_is_asymptotic_group_velocity_comparator_not_exact_support_no_butterfly_signaling_hydrodynamic_interacting_continuum_or_universal_velocity_claim",
  "conventions": {
    "hamiltonian": "H=-J sum_(j=0)^(L-2)(c^dagger_(j+1)c_j+h.c.), open chain",
    "covariance": "G_ij=<c_i^dagger c_j>",
    "ground_state": "exact half-filled Slater determinant obtained by filling the L/2 lowest one-particle levels",
    "kick": "U_lambda=exp(i lambda n_j0), j0=L/2",
    "kicked_covariance": "G_lambda=D^dagger G0 D, D=I+(exp(i lambda)-1)|j0><j0|",
    "evolution": "G(t)=exp(i h t/hbar) G_lambda exp(-i h t/hbar), evaluated as an exact rank-two update",
    "dispersion_infinite_chain": "epsilon(k)=-2J cos(ka)",
    "group_velocity": "v_g(k)=2Ja sin(ka)/hbar; v_g,max=2Ja/hbar",
    "particle_hole_symmetry": "C c_j C^-1=(-1)^j c_j^dagger leaves H invariant; C n_j C^-1=1-n_j, C j_(j,j+1) C^-1=-j_(j,j+1), and C U_pi C^-1=-U_pi. The unique even-L half-filled ground state and its pi-kicked evolution are therefore particle-hole invariant up to phase, forcing density one half and zero bond current while allowing entropy and connected-density contrasts.",
    "entropy": "von Neumann S1 in nats from eigenvalues of the smaller pure-state complement covariance block",
    "entropy_front_scope": "Entropy contours are threshold-dependent finite-time leading-edge diagnostics; the fixture does not force them to share a density/current asymptotic broadening law.",
    "connected_adjacent_density": "<n_j n_(j+1)>_c=-|G_(j,j+1)|^2",
    "contrast_sign": "quenched minus stationary control",
    "observable_coordinates": "The stored integer x labels density at site j0+x; bond current and adjacent connected density on (j0+x,j0+x+1); and entropy of A_x={0,...,j0+x-1}, whose cut lies half a lattice spacing left of the density-site center. These offsets belong to observable-specific intercepts, so fitted absolute positions or intercepts are not compared across observables.",
    "contour": "outermost right x where |contrast| crosses q times the same-time sampled peak, with log-linear interpolation",
    "bond_current": "rightward j_(j,j+1)=+2J Im G_(j,j+1), so d<n_j>/dt=j_(j-1,j)-j_(j,j+1); the stationary half-filled control is real and has zero current",
    "leading_edge_amplitude_scope": "Density and bond current have leading t^-2/3 Airy/Scorer edge amplitudes. This amplitude statement is not assigned to entropy-cut contrast.",
    "connected_amplitude_scope": "Raw signed connected-density data are retained. At half filling the linear leading-edge term cancels against the real ground-state bond, so its leading amplitude scales as t^-1 rather than sharing the density t^-2/3 law; contours use only same-time peak normalization.",
    "logarithm": "natural"
  },
  "parameters": {
    "J": 1.0,
    "a": 1.0,
    "hbar": 1.0,
    "L_primary": 512,
    "L_size_control": 384,
    "lambda_primary_rad": 1.5707963267948966,
    "lambda_particle_hole_density_blind_rad": 3.141592653589793,
    "primary_times_J_inverse": [
      12.0,
      16.0,
      20.0,
      24.0,
      28.0,
      32.0,
      36.0,
      40.0,
      44.0,
      48.0,
      52.0,
      56.0,
      60.0,
      64.0,
      68.0,
      72.0,
      76.0,
      80.0,
      84.0,
      88.0,
      92.0,
      96.0
    ],
    "size_control_times_J_inverse": [
      12.0,
      16.0,
      20.0,
      24.0,
      28.0,
      32.0,
      36.0,
      40.0,
      44.0,
      48.0,
      52.0,
      56.0,
      60.0,
      64.0
    ],
    "fit_window_J_inverse": [
      16.0,
      56.0
    ],
    "heldout_window_J_inverse": [
      60.0,
      96.0
    ],
    "threshold_fractions": [
      0.02,
      0.05,
      0.1,
      0.2
    ],
    "primary_entropy_threshold": 0.05,
    "primary_current_threshold": 0.1,
    "primary_connected_threshold": 0.2,
    "window_robustness_fit_windows_J_inverse": [
      [
        12.0,
        44.0
      ],
      [
        16.0,
        56.0
      ],
      [
        20.0,
        64.0
      ],
      [
        24.0,
        72.0
      ],
      [
        28.0,
        80.0
      ]
    ],
    "entropy_eigenvalue_cutoff": 1e-14,
    "blind_signal_tolerance": 2e-13,
    "contour_fit_protocol": {
      "estimator": "unweighted_ordinary_least_squares",
      "solver": "numpy.linalg.lstsq",
      "rcond": "None",
      "training_partition_rule": "fit_window endpoints inclusive",
      "heldout_partition_rule": "sample time strictly greater than the fit-window upper endpoint"
    },
    "width_beta_scan_protocol": {
      "minimum_beta": 0.1,
      "maximum_beta": 1.0,
      "step_beta": 0.0025,
      "candidate_count": 361,
      "grid_rule": "inclusive equally spaced ascending grid",
      "selection_partition": "training only",
      "selection_metric": "minimum unweighted training RMSE in sites",
      "tie_break_rule": "lowest beta because the ascending grid is scanned first",
      "posthoc_heldout_policy": "reported only as a nonpredictive identifiability diagnostic"
    }
  },
  "schema": {
    "name": "qft.quantum-information.free-fermion-local-kick-fronts",
    "version": 1,
    "id": "qft.quantum-information.free-fermion-local-kick-fronts.v1",
    "csv_columns": [
      {
        "name": "schema_version",
        "type": "string",
        "unit": "none",
        "nullable": false,
        "description": "Exact record schema identifier."
      },
      {
        "name": "record_type",
        "type": "string",
        "unit": "none",
        "nullable": false,
        "description": "Long-form record discriminator."
      },
      {
        "name": "run_id",
        "type": "string",
        "unit": "none",
        "nullable": false,
        "description": "Deterministic simulation or comparison ID."
      },
      {
        "name": "observable",
        "type": "string",
        "unit": "none",
        "nullable": true,
        "description": "Observable or derived width."
      },
      {
        "name": "model_id",
        "type": "string",
        "unit": "none",
        "nullable": true,
        "description": "Frozen model identifier."
      },
      {
        "name": "metric_name",
        "type": "string",
        "unit": "none",
        "nullable": true,
        "description": "Scalar metric name."
      },
      {
        "name": "window_id",
        "type": "string",
        "unit": "none",
        "nullable": true,
        "description": "Fit-window identifier when applicable."
      },
      {
        "name": "partition",
        "type": "string",
        "unit": "none",
        "nullable": true,
        "description": "excluded, training, or heldout."
      },
      {
        "name": "L_sites",
        "type": "integer",
        "unit": "site",
        "nullable": true,
        "description": "Open-chain site count."
      },
      {
        "name": "lambda_rad",
        "type": "number",
        "unit": "rad",
        "nullable": true,
        "description": "Local phase-kick angle."
      },
      {
        "name": "time_J_inverse",
        "type": "number",
        "unit": "J^-1",
        "nullable": true,
        "description": "Evolution time with hbar=J=1."
      },
      {
        "name": "x_lattice_sites",
        "type": "number",
        "unit": "site",
        "nullable": true,
        "description": "Stored x label: density site j0+x; bond (j0+x,j0+x+1); entropy cut after j0+x-1."
      },
      {
        "name": "threshold_fraction",
        "type": "number",
        "unit": "none",
        "nullable": true,
        "description": "Fraction of the same-time peak."
      },
      {
        "name": "quenched_value",
        "type": "number",
        "unit": "by_observable",
        "nullable": true,
        "description": "Direct quenched value; resolve the unit through schema.observable_value_units."
      },
      {
        "name": "stationary_control_value",
        "type": "number",
        "unit": "by_observable",
        "nullable": true,
        "description": "Unperturbed stationary-control value; resolve the unit through schema.observable_value_units."
      },
      {
        "name": "contrast_value",
        "type": "number",
        "unit": "by_observable",
        "nullable": true,
        "description": "Signed quenched minus control; resolve the unit through schema.observable_value_units."
      },
      {
        "name": "same_time_peak_abs",
        "type": "number",
        "unit": "by_observable",
        "nullable": true,
        "description": "Peak absolute sampled contrast; resolve the unit through schema.observable_value_units."
      },
      {
        "name": "observed_contour_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": true,
        "description": "Measured outermost contour coordinate."
      },
      {
        "name": "predicted_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": true,
        "description": "Frozen-model prediction."
      },
      {
        "name": "residual_observed_minus_prediction_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": true,
        "description": "Observed contour or width minus prediction."
      },
      {
        "name": "coefficient_c",
        "type": "number",
        "unit": "site",
        "nullable": true,
        "description": "Fitted intercept."
      },
      {
        "name": "coefficient_v",
        "type": "number",
        "unit": "site/J^-1",
        "nullable": true,
        "description": "Fitted ballistic velocity."
      },
      {
        "name": "coefficient_g_or_d",
        "type": "number",
        "unit": "by_model_id",
        "nullable": true,
        "description": "Broadening, diffusive, or width amplitude; resolve the unit through schema.model_parameter_units_by_model_id."
      },
      {
        "name": "power_beta",
        "type": "number",
        "unit": "none",
        "nullable": true,
        "description": "Width power when applicable."
      },
      {
        "name": "metric_value",
        "type": "number",
        "unit": "by_record_type_and_metric_name",
        "nullable": true,
        "description": "Scalar diagnostic or fit metric; resolve the unit through schema.metric_value_units_by_record_type."
      },
      {
        "name": "note",
        "type": "string",
        "unit": "none",
        "nullable": true,
        "description": "Compact interpretation or scope note."
      }
    ],
    "plot_csv_schema_id": "qft.quantum-information.free-fermion-local-kick-fronts.v1.plot.v1",
    "plot_csv_columns": [
      "schema_version",
      "partition",
      "time_J_inverse",
      "entropy_observed_x_sites",
      "entropy_broadened_predicted_x_sites",
      "entropy_ballistic_predicted_x_sites",
      "entropy_diffusive_predicted_x_sites",
      "entropy_width_observed_x_sites",
      "entropy_width_t_one_third_predicted_x_sites",
      "entropy_width_sqrt_t_predicted_x_sites",
      "entropy_width_linear_t_predicted_x_sites"
    ],
    "plot_csv_column_specs": [
      {
        "name": "schema_version",
        "type": "string",
        "unit": "none",
        "nullable": false,
        "description": "Versioned exact-projection identifier."
      },
      {
        "name": "partition",
        "type": "string",
        "unit": "none",
        "nullable": false,
        "description": "Excluded, training, or heldout data partition."
      },
      {
        "name": "time_J_inverse",
        "type": "number",
        "unit": "J^-1",
        "nullable": false,
        "description": "Exact spectral-evolution sample time."
      },
      {
        "name": "entropy_observed_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": false,
        "description": "Observed entropy-cut q=0.05 contour."
      },
      {
        "name": "entropy_broadened_predicted_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": false,
        "description": "Frozen c+vt+g t^(1/3) entropy prediction."
      },
      {
        "name": "entropy_ballistic_predicted_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": false,
        "description": "Frozen c+vt entropy prediction."
      },
      {
        "name": "entropy_diffusive_predicted_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": false,
        "description": "Frozen c+d sqrt(t) entropy prediction."
      },
      {
        "name": "entropy_width_observed_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": false,
        "description": "Observed entropy width x_q=0.02-x_q=0.20."
      },
      {
        "name": "entropy_width_t_one_third_predicted_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": false,
        "description": "Frozen c+A t^(1/3) width prediction."
      },
      {
        "name": "entropy_width_sqrt_t_predicted_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": false,
        "description": "Frozen c+A sqrt(t) width prediction."
      },
      {
        "name": "entropy_width_linear_t_predicted_x_sites",
        "type": "number",
        "unit": "site",
        "nullable": false,
        "description": "Frozen c+A t width adversary."
      }
    ],
    "plot_csv_projection": {
      "schema_version": "literal qft.quantum-information.free-fermion-local-kick-fronts.v1.plot.v1",
      "partition": "primary.models.entropy_cut.q0.05.ballistic_t_one_third.records[].partition",
      "time_J_inverse": "primary.models.entropy_cut.q0.05.ballistic_t_one_third.records[].time_J_inverse",
      "entropy_observed_x_sites": "primary.models.entropy_cut.q0.05.ballistic_t_one_third.records[].observed_x_sites",
      "entropy_broadened_predicted_x_sites": "primary.models.entropy_cut.q0.05.ballistic_t_one_third.records[].predicted_x_sites",
      "entropy_ballistic_predicted_x_sites": "primary.models.entropy_cut.q0.05.ballistic_linear.records[].predicted_x_sites",
      "entropy_diffusive_predicted_x_sites": "primary.models.entropy_cut.q0.05.diffusive_sqrt_t.records[].predicted_x_sites",
      "entropy_width_observed_x_sites": "primary.width_exponent_adversary.q0.02_minus_q0.20.observed_widths_x_sites[]",
      "entropy_width_t_one_third_predicted_x_sites": "primary.width_exponent_adversary.q0.02_minus_q0.20.models.t_one_third_width.records[].predicted_width_x_sites",
      "entropy_width_sqrt_t_predicted_x_sites": "primary.width_exponent_adversary.q0.02_minus_q0.20.models.sqrt_t_width.records[].predicted_width_x_sites",
      "entropy_width_linear_t_predicted_x_sites": "primary.width_exponent_adversary.q0.02_minus_q0.20.models.linear_t_width.records[].predicted_width_x_sites"
    },
    "plot_csv_row_count": 22,
    "csv_row_count": 15302,
    "csv_record_counts_by_record_type": {
      "profile": 9592,
      "contour": 688,
      "model_prediction": 1056,
      "model_metric": 480,
      "window_model_prediction": 1760,
      "window_model_metric": 800,
      "window_summary_metric": 48,
      "width_model_prediction": 330,
      "width_model_metric": 150,
      "width_scan_metric": 18,
      "size_contour_comparison": 224,
      "size_comparison_metric": 48,
      "diagnostic_metric": 46,
      "headline_metric": 31,
      "assertion": 31
    },
    "csv_record_types": [
      "profile",
      "contour",
      "model_prediction",
      "model_metric",
      "window_model_prediction",
      "window_model_metric",
      "window_summary_metric",
      "width_model_prediction",
      "width_model_metric",
      "width_scan_metric",
      "size_contour_comparison",
      "size_comparison_metric",
      "diagnostic_metric",
      "headline_metric",
      "assertion"
    ],
    "observable_ids": [
      "entropy_cut",
      "local_density",
      "bond_current",
      "adjacent_connected_density"
    ],
    "csv_observable_ids": [
      "entropy_cut",
      "local_density",
      "bond_current",
      "adjacent_connected_density",
      "entropy_cut_width_q0.02_minus_q0.20",
      "entropy_cut_width_q0.02_minus_q0.10",
      "entropy_cut_width_q0.05_minus_q0.20"
    ],
    "threshold_keys": [
      "q0.02",
      "q0.05",
      "q0.10",
      "q0.20"
    ],
    "contour_model_ids": [
      "ballistic_linear",
      "ballistic_t_one_third",
      "diffusive_sqrt_t"
    ],
    "width_model_ids": [
      "constant_width",
      "t_one_third_width",
      "sqrt_t_width",
      "linear_t_width",
      "training_selected_power_width"
    ],
    "width_scan_ids": [
      "training_scan_best",
      "posthoc_heldout_scan_best_not_a_prediction"
    ],
    "csv_model_ids": [
      "ballistic_linear",
      "ballistic_t_one_third",
      "diffusive_sqrt_t",
      "constant_width",
      "t_one_third_width",
      "sqrt_t_width",
      "linear_t_width",
      "training_selected_power_width",
      "training_scan_best",
      "posthoc_heldout_scan_best_not_a_prediction"
    ],
    "partition_values": [
      "excluded",
      "training",
      "heldout"
    ],
    "window_ids": [
      "t12_to_t44",
      "t16_to_t56",
      "t20_to_t64",
      "t24_to_t72",
      "t28_to_t80"
    ],
    "run_ids": [
      "primary_L512_phi_pi_over_2",
      "size_control_L384_phi_pi_over_2",
      "particle_hole_density_blind_L384_phi_pi",
      "null_L512_phi_zero",
      "L512_minus_L384_phi_pi_over_2",
      "global_diagnostics",
      "global_assertions"
    ],
    "observable_value_units": {
      "entropy_cut": "nat",
      "local_density": "dimensionless_occupation",
      "bond_current": "J/hbar",
      "adjacent_connected_density": "dimensionless_occupation_squared"
    },
    "observable_coordinate_offsets_lattice_sites": {
      "entropy_cut": -0.5,
      "local_density": 0.0,
      "bond_current": 0.5,
      "adjacent_connected_density": 0.5
    },
    "model_parameter_units_by_model_id": {
      "ballistic_linear": {
        "coefficient_c": "site",
        "coefficient_v": "site/(J^-1)",
        "coefficient_g_or_d": "not_applicable",
        "power_beta": "not_applicable"
      },
      "ballistic_t_one_third": {
        "coefficient_c": "site",
        "coefficient_v": "site/(J^-1)",
        "coefficient_g_or_d": "site/(J^-1)^(1/3)",
        "power_beta": "dimensionless"
      },
      "diffusive_sqrt_t": {
        "coefficient_c": "site",
        "coefficient_v": "not_applicable",
        "coefficient_g_or_d": "site/(J^-1)^(1/2)",
        "power_beta": "dimensionless"
      },
      "constant_width": {
        "coefficient_c": "site",
        "coefficient_v": "not_applicable",
        "coefficient_g_or_d": "not_applicable",
        "power_beta": "not_applicable"
      },
      "t_one_third_width": {
        "coefficient_c": "site",
        "coefficient_v": "not_applicable",
        "coefficient_g_or_d": "site/(J^-1)^(1/3)",
        "power_beta": "dimensionless"
      },
      "sqrt_t_width": {
        "coefficient_c": "site",
        "coefficient_v": "not_applicable",
        "coefficient_g_or_d": "site/(J^-1)^(1/2)",
        "power_beta": "dimensionless"
      },
      "linear_t_width": {
        "coefficient_c": "site",
        "coefficient_v": "not_applicable",
        "coefficient_g_or_d": "site/(J^-1)",
        "power_beta": "dimensionless"
      },
      "training_selected_power_width": {
        "coefficient_c": "site",
        "coefficient_v": "not_applicable",
        "coefficient_g_or_d": "site/(J^-1)^power_beta",
        "power_beta": "dimensionless"
      }
    },
    "metric_value_units_by_record_type": {
      "model_metric": {
        "sample_count": "count",
        "rmse_x_sites": "site",
        "mean_absolute_error_x_sites": "site",
        "maximum_absolute_error_x_sites": "site",
        "bias_observed_minus_prediction_x_sites": "site"
      },
      "window_model_metric": {
        "sample_count": "count",
        "rmse_x_sites": "site",
        "mean_absolute_error_x_sites": "site",
        "maximum_absolute_error_x_sites": "site",
        "bias_observed_minus_prediction_x_sites": "site"
      },
      "window_summary_metric": {
        "velocity_min": "site/(J^-1)",
        "velocity_max": "site/(J^-1)",
        "velocity_range": "site/(J^-1)"
      },
      "width_model_metric": {
        "sample_count": "count",
        "rmse_x_sites": "site",
        "mean_absolute_error_x_sites": "site",
        "maximum_absolute_error_x_sites": "site",
        "bias_observed_minus_prediction_x_sites": "site"
      },
      "width_scan_metric": {
        "beta": "dimensionless",
        "training_rmse_x_sites": "site",
        "heldout_rmse_x_sites": "site"
      },
      "size_comparison_metric": {
        "rmse_x_sites": "site",
        "maximum_absolute_difference_x_sites": "site",
        "bias_L512_minus_L384_x_sites": "site"
      },
      "diagnostic_metric": {
        "rank_two_independent_check.L_sites": "site",
        "rank_two_independent_check.check_time_J_inverse": "J^-1",
        "rank_two_independent_check.direct_phase_vs_rank_two_initial_max_abs": "dimensionless_covariance",
        "rank_two_independent_check.direct_spectral_vs_rank_two_evolved_max_abs": "dimensionless_covariance",
        "rank_two_independent_check.rank_two_update_numerical_rank_at_1e_minus_12": "count",
        "rank_two_independent_check.continuity_equation_current_sign_max_abs": "J/hbar",
        "pure_state_complement_check.time_J_inverse": "J^-1",
        "pure_state_complement_check.x_lattice_sites": "site",
        "pure_state_complement_check.left_block_sites": "site",
        "pure_state_complement_check.right_complement_sites": "site",
        "pure_state_complement_check.quenched_entropy_left_nats": "nat",
        "pure_state_complement_check.quenched_entropy_right_nats": "nat",
        "pure_state_complement_check.quenched_absolute_mismatch_nats": "nat",
        "pure_state_complement_check.control_absolute_mismatch_nats": "nat",
        "run_diagnostics.primary_L512_phi_pi_over_2.ground_projector_error_max": "dimensionless_covariance",
        "run_diagnostics.primary_L512_phi_pi_over_2.maximum_quenched_projector_error": "dimensionless_covariance",
        "run_diagnostics.primary_L512_phi_pi_over_2.maximum_delta_hermiticity_error": "dimensionless_covariance",
        "run_diagnostics.primary_L512_phi_pi_over_2.maximum_particle_number_drift": "dimensionless_particle_number",
        "run_diagnostics.primary_L512_phi_pi_over_2.maximum_initial_entropy_contrast_abs_nats": "nat",
        "run_diagnostics.primary_L512_phi_pi_over_2.energy_injection_J": "J",
        "run_diagnostics.primary_L512_phi_pi_over_2.infinite_chain_energy_injection_J": "J",
        "run_diagnostics.primary_L512_phi_pi_over_2.maximum_energy_drift_abs_J": "J",
        "run_diagnostics.size_control_L384_phi_pi_over_2.ground_projector_error_max": "dimensionless_covariance",
        "run_diagnostics.size_control_L384_phi_pi_over_2.maximum_quenched_projector_error": "dimensionless_covariance",
        "run_diagnostics.size_control_L384_phi_pi_over_2.maximum_delta_hermiticity_error": "dimensionless_covariance",
        "run_diagnostics.size_control_L384_phi_pi_over_2.maximum_particle_number_drift": "dimensionless_particle_number",
        "run_diagnostics.size_control_L384_phi_pi_over_2.maximum_initial_entropy_contrast_abs_nats": "nat",
        "run_diagnostics.size_control_L384_phi_pi_over_2.energy_injection_J": "J",
        "run_diagnostics.size_control_L384_phi_pi_over_2.infinite_chain_energy_injection_J": "J",
        "run_diagnostics.size_control_L384_phi_pi_over_2.maximum_energy_drift_abs_J": "J",
        "run_diagnostics.particle_hole_density_blind_L384_phi_pi.ground_projector_error_max": "dimensionless_covariance",
        "run_diagnostics.particle_hole_density_blind_L384_phi_pi.maximum_quenched_projector_error": "dimensionless_covariance",
        "run_diagnostics.particle_hole_density_blind_L384_phi_pi.maximum_delta_hermiticity_error": "dimensionless_covariance",
        "run_diagnostics.particle_hole_density_blind_L384_phi_pi.maximum_particle_number_drift": "dimensionless_particle_number",
        "run_diagnostics.particle_hole_density_blind_L384_phi_pi.maximum_initial_entropy_contrast_abs_nats": "nat",
        "run_diagnostics.particle_hole_density_blind_L384_phi_pi.energy_injection_J": "J",
        "run_diagnostics.particle_hole_density_blind_L384_phi_pi.infinite_chain_energy_injection_J": "J",
        "run_diagnostics.particle_hole_density_blind_L384_phi_pi.maximum_energy_drift_abs_J": "J",
        "run_diagnostics.null_L512_phi_zero.ground_projector_error_max": "dimensionless_covariance",
        "run_diagnostics.null_L512_phi_zero.maximum_quenched_projector_error": "dimensionless_covariance",
        "run_diagnostics.null_L512_phi_zero.maximum_delta_hermiticity_error": "dimensionless_covariance",
        "run_diagnostics.null_L512_phi_zero.maximum_particle_number_drift": "dimensionless_particle_number",
        "run_diagnostics.null_L512_phi_zero.maximum_initial_entropy_contrast_abs_nats": "nat",
        "run_diagnostics.null_L512_phi_zero.energy_injection_J": "J",
        "run_diagnostics.null_L512_phi_zero.infinite_chain_energy_injection_J": "J",
        "run_diagnostics.null_L512_phi_zero.maximum_energy_drift_abs_J": "J"
      },
      "headline_metric": {
        "analytic_maximum_group_velocity_lattice_sites_per_J_inverse": "site/(J^-1)",
        "primary_entropy_threshold": "dimensionless",
        "primary_entropy_ballistic_velocity": "site/(J^-1)",
        "primary_entropy_ballistic_heldout_rmse_x_sites": "site",
        "primary_entropy_broadened_velocity": "site/(J^-1)",
        "primary_entropy_broadened_heldout_rmse_x_sites": "site",
        "primary_entropy_diffusive_heldout_rmse_x_sites": "site",
        "primary_entropy_broadened_window_velocity_range": "site/(J^-1)",
        "primary_entropy_L512_vs_L384_max_contour_difference_x_sites": "site",
        "primary_connected_threshold": "dimensionless",
        "primary_current_threshold": "dimensionless",
        "primary_current_ballistic_velocity": "site/(J^-1)",
        "primary_current_ballistic_heldout_rmse_x_sites": "site",
        "primary_current_broadened_velocity": "site/(J^-1)",
        "primary_current_broadened_heldout_rmse_x_sites": "site",
        "primary_connected_broadened_velocity": "site/(J^-1)",
        "primary_connected_broadened_heldout_rmse_x_sites": "site",
        "primary_connected_ballistic_velocity": "site/(J^-1)",
        "primary_connected_ballistic_heldout_rmse_x_sites": "site",
        "width_training_selected_beta": "dimensionless",
        "width_posthoc_heldout_best_beta_not_a_prediction": "dimensionless",
        "width_one_third_heldout_rmse_x_sites": "site",
        "width_sqrt_t_heldout_rmse_x_sites": "site",
        "width_constant_heldout_rmse_x_sites": "site",
        "width_linear_t_heldout_rmse_x_sites": "site",
        "phi_pi_maximum_local_density_contrast_abs": "dimensionless_occupation",
        "phi_pi_maximum_bond_current_contrast_abs": "J/hbar",
        "phi_zero_maximum_entropy_cut_contrast_abs_nats": "nat",
        "phi_zero_maximum_local_density_contrast_abs": "dimensionless_occupation",
        "phi_zero_maximum_bond_current_contrast_abs_J_per_hbar": "J/hbar",
        "phi_zero_maximum_adjacent_connected_density_contrast_abs": "dimensionless_occupation_squared"
      },
      "assertion": {
        "claim_boundary_exact": "boolean_0_or_1",
        "analytic_vgmax_is_two": "boolean_0_or_1",
        "primary_has_22_times": "boolean_0_or_1",
        "primary_fit_has_11_samples": "boolean_0_or_1",
        "primary_holdout_has_10_samples": "boolean_0_or_1",
        "primary_entropy_broadened_velocity_near_two": "boolean_0_or_1",
        "primary_entropy_broadened_heldout_below_0p08_sites": "boolean_0_or_1",
        "primary_entropy_broadened_beats_rigid_ballistic": "boolean_0_or_1",
        "primary_entropy_broadened_beats_pure_diffusion": "boolean_0_or_1",
        "primary_entropy_window_velocity_range_below_0p01": "boolean_0_or_1",
        "entropy_size_contour_shift_below_0p08_sites": "boolean_0_or_1",
        "primary_current_broadened_velocity_near_two": "boolean_0_or_1",
        "primary_current_broadened_heldout_below_0p08_sites": "boolean_0_or_1",
        "connected_q20_velocity_near_two_but_predictively_noisy": "boolean_0_or_1",
        "connected_q20_broadening_not_predictively_resolved": "boolean_0_or_1",
        "width_training_selected_beta_is_interior_sublinear": "boolean_0_or_1",
        "width_constant_is_heldout_adversary": "boolean_0_or_1",
        "width_linear_fan_is_heldout_adversary": "boolean_0_or_1",
        "one_third_and_sqrt_width_candidates_not_identified": "boolean_0_or_1",
        "phi_pi_density_is_particle_hole_blind": "boolean_0_or_1",
        "phi_pi_current_is_particle_hole_blind": "boolean_0_or_1",
        "phi_zero_is_exact_null": "boolean_0_or_1",
        "rank_two_direct_check_below_2e_minus_14": "boolean_0_or_1",
        "rank_two_update_has_rank_two": "boolean_0_or_1",
        "current_sign_satisfies_lattice_continuity_equation": "boolean_0_or_1",
        "projector_checks_below_5e_minus_12": "boolean_0_or_1",
        "particle_number_drift_below_2e_minus_12": "boolean_0_or_1",
        "hermiticity_error_below_2e_minus_13": "boolean_0_or_1",
        "initial_entropy_unchanged_below_2e_minus_11": "boolean_0_or_1",
        "energy_conserved_below_2e_minus_12": "boolean_0_or_1",
        "pure_state_complement_mismatch_below_2e_minus_11": "boolean_0_or_1"
      }
    },
    "required_json_top_level_keys": [
      "schema_version",
      "schema_id",
      "artifact_id",
      "claim_boundary",
      "conventions",
      "parameters",
      "schema",
      "primary",
      "controls",
      "diagnostics",
      "assertions",
      "files"
    ],
    "csv_null_encoding": "blank means not applicable to the record type, except that a contour row with an undefined_* note uses a blank observed_contour_x_sites as an explicit censored or symmetry-blind result",
    "csv_required_fields_by_record_type": {
      "profile": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "x_lattice_sites",
        "quenched_value",
        "stationary_control_value",
        "contrast_value"
      ],
      "contour": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "threshold_fraction",
        "same_time_peak_abs",
        "note"
      ],
      "model_prediction": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "partition",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "threshold_fraction",
        "observed_contour_x_sites",
        "predicted_x_sites",
        "residual_observed_minus_prediction_x_sites",
        "coefficient_c"
      ],
      "model_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "partition",
        "L_sites",
        "lambda_rad",
        "threshold_fraction",
        "coefficient_c",
        "metric_value"
      ],
      "window_model_prediction": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "window_id",
        "partition",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "threshold_fraction",
        "observed_contour_x_sites",
        "predicted_x_sites",
        "residual_observed_minus_prediction_x_sites",
        "coefficient_c",
        "coefficient_v",
        "coefficient_g_or_d",
        "power_beta"
      ],
      "window_model_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "window_id",
        "partition",
        "L_sites",
        "lambda_rad",
        "threshold_fraction",
        "coefficient_c",
        "coefficient_v",
        "coefficient_g_or_d",
        "power_beta",
        "metric_value"
      ],
      "window_summary_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "L_sites",
        "lambda_rad",
        "threshold_fraction",
        "metric_value"
      ],
      "width_model_prediction": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "partition",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "observed_contour_x_sites",
        "predicted_x_sites",
        "residual_observed_minus_prediction_x_sites",
        "coefficient_c"
      ],
      "width_model_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "partition",
        "L_sites",
        "lambda_rad",
        "coefficient_c",
        "metric_value"
      ],
      "width_scan_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "L_sites",
        "lambda_rad",
        "metric_value",
        "note"
      ],
      "size_contour_comparison": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "time_J_inverse",
        "threshold_fraction",
        "observed_contour_x_sites",
        "predicted_x_sites",
        "residual_observed_minus_prediction_x_sites"
      ],
      "size_comparison_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "metric_name",
        "threshold_fraction",
        "metric_value"
      ],
      "diagnostic_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "metric_name",
        "metric_value"
      ],
      "headline_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "metric_name",
        "metric_value"
      ],
      "assertion": [
        "schema_version",
        "record_type",
        "run_id",
        "metric_name",
        "metric_value",
        "note"
      ]
    },
    "csv_allowed_fields_by_record_type": {
      "profile": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "x_lattice_sites",
        "quenched_value",
        "stationary_control_value",
        "contrast_value"
      ],
      "contour": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "threshold_fraction",
        "same_time_peak_abs",
        "observed_contour_x_sites",
        "note"
      ],
      "model_prediction": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "partition",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "threshold_fraction",
        "observed_contour_x_sites",
        "predicted_x_sites",
        "residual_observed_minus_prediction_x_sites",
        "coefficient_c",
        "coefficient_v",
        "coefficient_g_or_d",
        "power_beta"
      ],
      "model_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "partition",
        "L_sites",
        "lambda_rad",
        "threshold_fraction",
        "coefficient_c",
        "coefficient_v",
        "coefficient_g_or_d",
        "power_beta",
        "metric_value"
      ],
      "window_model_prediction": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "window_id",
        "partition",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "threshold_fraction",
        "observed_contour_x_sites",
        "predicted_x_sites",
        "residual_observed_minus_prediction_x_sites",
        "coefficient_c",
        "coefficient_v",
        "coefficient_g_or_d",
        "power_beta"
      ],
      "window_model_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "window_id",
        "partition",
        "L_sites",
        "lambda_rad",
        "threshold_fraction",
        "coefficient_c",
        "coefficient_v",
        "coefficient_g_or_d",
        "power_beta",
        "metric_value"
      ],
      "window_summary_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "L_sites",
        "lambda_rad",
        "threshold_fraction",
        "metric_value"
      ],
      "width_model_prediction": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "partition",
        "L_sites",
        "lambda_rad",
        "time_J_inverse",
        "observed_contour_x_sites",
        "predicted_x_sites",
        "residual_observed_minus_prediction_x_sites",
        "coefficient_c",
        "coefficient_g_or_d",
        "power_beta"
      ],
      "width_model_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "partition",
        "L_sites",
        "lambda_rad",
        "coefficient_c",
        "coefficient_g_or_d",
        "power_beta",
        "metric_value"
      ],
      "width_scan_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "model_id",
        "metric_name",
        "L_sites",
        "lambda_rad",
        "power_beta",
        "metric_value",
        "note"
      ],
      "size_contour_comparison": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "time_J_inverse",
        "threshold_fraction",
        "observed_contour_x_sites",
        "predicted_x_sites",
        "residual_observed_minus_prediction_x_sites"
      ],
      "size_comparison_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "observable",
        "metric_name",
        "threshold_fraction",
        "metric_value"
      ],
      "diagnostic_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "metric_name",
        "metric_value"
      ],
      "headline_metric": [
        "schema_version",
        "record_type",
        "run_id",
        "metric_name",
        "metric_value"
      ],
      "assertion": [
        "schema_version",
        "record_type",
        "run_id",
        "metric_name",
        "metric_value",
        "note"
      ]
    },
    "csv_exact_presence_policy": "Every nonblank field must be allowed for its record_type; every required field must be nonblank; contour status and model_id then determine the exact conditional fields.",
    "csv_model_parameter_policy": "model_id determines whether coefficient_v, coefficient_g_or_d, and power_beta are required; blank means the parameter is absent from that model, while coefficient_c is required on every fitted-model row",
    "contour_note_policy": {
      "outermost_log_linear_crossing": "observed_contour_x_sites is required and records the declared crossing",
      "undefined_identity_kick_exact_null": "observed_contour_x_sites is blank because the identity kick has exactly zero contrast",
      "undefined_particle_hole_one_point_blind": "observed_contour_x_sites is blank because bipartite particle-hole symmetry blinds density and current at phi=pi",
      "undefined_at_or_below_blind_signal_tolerance": "observed_contour_x_sites is blank because the same-time peak is at or below blind_signal_tolerance"
    },
    "json_null_policy": "null is allowed only for unused parameters or coefficients dictated by the named contour or width model, or threshold contours whose sibling status is one of the declared undefined_* reasons",
    "json_object_key_contract_semantics": "Each contract array is the complete canonical serialization order of keys for every object selected by its routed paths; missing, additional, duplicate, or reordered keys are invalid.",
    "json_object_key_contract_path_syntax": "RFC 6901 JSON Pointer, extended only by a * token that selects every member of an object or array.",
    "json_object_key_contracts": {
      "json_object_key_contract_registry": [
        "json_object_key_contract_registry",
        "payload",
        "schema",
        "csv_column",
        "plot_csv_column_spec",
        "plot_csv_projection",
        "csv_required_fields_by_record_type",
        "csv_allowed_fields_by_record_type",
        "csv_record_counts_by_record_type",
        "contour_note_policy",
        "observable_units",
        "model_parameter_units_by_model_id",
        "model_parameter_unit_record",
        "metric_value_units_by_record_type",
        "fit_metric_units",
        "window_summary_metric_units",
        "width_scan_metric_units",
        "size_comparison_metric_units",
        "diagnostic_metric_units",
        "headline_metric_units",
        "assertion_metric_units",
        "profile_record",
        "profile_values",
        "profile_observable",
        "contour_record",
        "threshold_contours",
        "model_prediction_record",
        "metric_summary",
        "contour_model",
        "window_fit",
        "contour_model_coefficients",
        "partitioned_metrics",
        "primary_models",
        "observable_threshold_models",
        "contour_model_family",
        "window_robustness",
        "window_threshold_map",
        "window_summary",
        "width_adversary",
        "width_adversary_pair",
        "width_models",
        "width_model",
        "width_model_coefficients",
        "width_prediction_record",
        "width_scan_record",
        "size_comparison_summary",
        "size_comparison_observables",
        "size_comparison_threshold_map",
        "size_comparison_record",
        "simulation_run",
        "run_diagnostics",
        "run_diagnostics_map",
        "rank_two_independent_check",
        "pure_state_complement_check",
        "numeric_range",
        "conventions",
        "parameters",
        "contour_fit_protocol",
        "width_beta_scan_protocol",
        "primary",
        "controls",
        "symmetry_interpretations",
        "diagnostics",
        "headline_metrics",
        "assertions",
        "files"
      ],
      "payload": [
        "schema_version",
        "schema_id",
        "artifact_id",
        "claim_boundary",
        "conventions",
        "parameters",
        "schema",
        "primary",
        "controls",
        "diagnostics",
        "assertions",
        "files"
      ],
      "schema": [
        "name",
        "version",
        "id",
        "csv_columns",
        "plot_csv_schema_id",
        "plot_csv_columns",
        "plot_csv_column_specs",
        "plot_csv_projection",
        "plot_csv_row_count",
        "csv_row_count",
        "csv_record_counts_by_record_type",
        "csv_record_types",
        "observable_ids",
        "csv_observable_ids",
        "threshold_keys",
        "contour_model_ids",
        "width_model_ids",
        "width_scan_ids",
        "csv_model_ids",
        "partition_values",
        "window_ids",
        "run_ids",
        "observable_value_units",
        "observable_coordinate_offsets_lattice_sites",
        "model_parameter_units_by_model_id",
        "metric_value_units_by_record_type",
        "required_json_top_level_keys",
        "csv_null_encoding",
        "csv_required_fields_by_record_type",
        "csv_allowed_fields_by_record_type",
        "csv_exact_presence_policy",
        "csv_model_parameter_policy",
        "contour_note_policy",
        "json_null_policy",
        "json_object_key_contract_semantics",
        "json_object_key_contract_path_syntax",
        "json_object_key_contracts",
        "json_object_key_contract_paths"
      ],
      "csv_column": [
        "name",
        "type",
        "unit",
        "nullable",
        "description"
      ],
      "plot_csv_column_spec": [
        "name",
        "type",
        "unit",
        "nullable",
        "description"
      ],
      "plot_csv_projection": [
        "schema_version",
        "partition",
        "time_J_inverse",
        "entropy_observed_x_sites",
        "entropy_broadened_predicted_x_sites",
        "entropy_ballistic_predicted_x_sites",
        "entropy_diffusive_predicted_x_sites",
        "entropy_width_observed_x_sites",
        "entropy_width_t_one_third_predicted_x_sites",
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