references/run_sabrina_near_extremal_radial_pushforward.json

{
  "kernel": "run_sabrina_near_extremal_radial_pushforward",
  "role": "post-computation assertion only",
  "schema": "ouroboros_scientific_reference_assertion_v1",
  "scientific_payload": {
    "claim_boundary": {
      "arbitrary_mass_kinematics_claimed": false,
      "capabilities_removed": [],
      "convergence_claimed": false,
      "delta_support_kinematics_only": true,
      "epsilon_strictly_positive": true,
      "full_amplitude_evaluated": false,
      "mass_family_2_one_plus_epsilon_m_m_m_only": true
    },
    "exact_checks": {
      "archive_hash_matches": true,
      "delta_support_present": true,
      "derivative_is_increasing": true,
      "endpoint_inverse_exact": true,
      "endpoint_product_exact": true,
      "endpoint_width_exact": true,
      "exact_radius_present": true,
      "full_amplitude_context_present": true,
      "inverse_sample_compositions_exact": true,
      "jacobian_exact": true,
      "jacobian_positive": true,
      "median_and_geometric_mean_exact": true,
      "member_hash_matches": true,
      "minimum_derivative_exact": true,
      "minimum_derivative_positive": true,
      "near_extremal_limit_present": true,
      "pushforward_normalization_exact": true,
      "quadratic_witness_exact": true,
      "source_block_matches": true,
      "support_quadratic_exact": true
    },
    "paper": {
      "arxiv_id": "1701.00049",
      "title": "Flat Space Amplitudes and Conformal Symmetry of the Celestial Sphere"
    },
    "pushforward_certificate": {
      "checks": {
        "endpoint_inverse_exact": true,
        "inverse_sample_compositions_exact": true,
        "jacobian_exact": true,
        "jacobian_positive": true,
        "pushforward_normalization_exact": true,
        "quadratic_witness_exact": true
      },
      "exact_sample_count": 20,
      "inverse_map": "(-2*epsilon + rho**2)/(2*epsilon*rho)",
      "pushforward_density": "(2*epsilon + rho**2)/(2*epsilon*rho**2)",
      "second_moment": "4*epsilon*(epsilon + 3)/3",
      "total_measure": "2"
    },
    "result_version": "sabrina_near_extremal_radial_pushforward_v1",
    "source_evidence": {
      "archive_sha256": "7553fb8bd01cf4423c26ec5da779dcc70589a21c5c3ee63e95ba43ac08460aa4",
      "block_sha256": "325d049c1635e32ee6c00a22bcc5228172913da086678dcd026678204efd9fa4",
      "checks": {
        "archive_hash_matches": true,
        "delta_support_present": true,
        "exact_radius_present": true,
        "full_amplitude_context_present": true,
        "member_hash_matches": true,
        "near_extremal_limit_present": true,
        "source_block_matches": true
      },
      "member_sha256": "23a588d9aaade9d5f0868c951a1c98f766732e8e2238cf20cd201a741c9c5fb2",
      "source_lines": "303-360"
    },
    "status": "complete",
    "support_map_certificate": {
      "checks": {
        "derivative_is_increasing": true,
        "endpoint_product_exact": true,
        "endpoint_width_exact": true,
        "median_and_geometric_mean_exact": true,
        "minimum_derivative_exact": true,
        "minimum_derivative_positive": true,
        "support_quadratic_exact": true
      },
      "derivative": "c*epsilon**(3/2)/sqrt(c**2*epsilon + 2) + epsilon",
      "derivative_minimum": "epsilon*(-sqrt(epsilon)/sqrt(epsilon + 2) + 1)",
      "lower_endpoint": "sqrt(epsilon)*sqrt(epsilon + 2) - epsilon",
      "rho_of_c": "c*epsilon + sqrt(epsilon)*sqrt(c**2*epsilon + 2)",
      "upper_endpoint": "sqrt(epsilon)*sqrt(epsilon + 2) + epsilon"
    },
    "theorem": {
      "endpoint_invariants": "width=2 epsilon, product=2 epsilon, median=sqrt(2 epsilon)",
      "inverse": "c=(rho^2-2 epsilon)/(2 epsilon rho)",
      "pushforward": "dc=(rho^2+2 epsilon)/(2 epsilon rho^2) drho",
      "radial_support": "rho in [sqrt(epsilon(2+epsilon))-epsilon, sqrt(epsilon(2+epsilon))+epsilon]"
    }
  },
  "scientific_payload_sha256": "2e51bc35b918b5683ba9f4c83c8ff6e0488713eb143c0d120e66640262410e4e"
}