{
  "version": "1.0.0",
  "date": "2026-10-16",
  "model_scope": "Fixed periodic homogeneous small-signal one-resonance Maxwell\u2013Lorentz material with a calibrated finite-dimensional damped acoustic plant.",
  "claims": [
    {
      "id": "KERNEL",
      "claim": "A complete electric impulse kernel identifies q in the fixed positive single-resonance class.",
      "location": "Chapters 4\u20135; Appendix A",
      "evidence": "analytic",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "ACTUATOR",
      "claim": "Acoustic range conditions and the exact weighted Fourier cost characterize finite-budget realization.",
      "location": "Chapters 6\u20137",
      "evidence": "analytic",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "GAP",
      "claim": "An unattainable complete target has a strictly positive error at fixed finite budget.",
      "location": "Chapters 8\u201310",
      "evidence": "analytic",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "REGULARITY",
      "claim": "Finite slew does not imply finite inertial force; high-harmonic cost can diverge along converging kernels.",
      "location": "Chapter 11",
      "evidence": "analytic",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "COMPILER",
      "claim": "Triangular averaging constructs finite-force exact-mean approximants in the fully actuated scalar class.",
      "location": "Chapter 12",
      "evidence": "analytic",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "RESONANCE",
      "claim": "The optimal unconstrained scalar mechanical resonance is a weighted mean of harmonic squared frequencies.",
      "location": "Chapter 13",
      "evidence": "analytic",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "CUBIC",
      "claim": "C1 cubic schedule has exact finite effort and damping heat.",
      "location": "Chapter 16; results/lua_certificate.log",
      "evidence": "exact_rational",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "CONTINUUM",
      "claim": "Every k in [0.9,1.1] has a real Floquet multiplier below -2.5 for the cubic schedule.",
      "location": "Chapters 15\u201317; certificates/cubic_band.json",
      "evidence": "exact_integer_interval",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "ENERGY",
      "claim": "Full electromechanical backreaction closes the pump/work/loss identity.",
      "location": "Chapter 3",
      "evidence": "analytic",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "CIRCUIT",
      "claim": "A positive-element RLC ladder reproduces the Bloch equations in lumped circuit theory.",
      "location": "Chapter 23",
      "evidence": "analytic_and_symbolic",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "HARMONIC_CODE",
      "claim": "The exact rational finite-harmonic scalar target compiler is implemented.",
      "location": "Chapter 19; src/aureolith/compiler.py",
      "evidence": "executed",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    },
    {
      "id": "EPS_OPT",
      "claim": "Finite-net optimization gives a sound epsilon bracket under explicit oracle hypotheses.",
      "location": "Chapter 19",
      "evidence": "conditional_algorithmic",
      "status": "provided_and_internally_checked",
      "global_novelty": "unconfirmed"
    }
  ],
  "test_assertions": 1350,
  "whole_band_cells": 100,
  "not_claimed": [
    "Universal arbitrary 3D electromagnetic material characterization",
    "Global optimum of the featured gain design",
    "Measured hardware or fabrication feasibility",
    "Quantum noise certification",
    "Sustained nonlinear unsaturated gain",
    "External peer review",
    "Proof assistant formalization",
    "Established world-first priority",
    "General high-dimensional optimization implementation"
  ]
}