{
  "ok": true,
  "route": "/api/antikythera-fire",
  "cron": "antikythera-fire",
  "transport": "HTTP_ONLY",
  "model": "Lopez_LCVS_Antikythera_Resolution_2026",
  "discovery_date": "2026-04-17",
  "uspto_customer_no": "226575",
  "patents": [
    "USPTO 19/555,951",
    "USPTO 19/574,371",
    "USPTO 64/013,146"
  ],
  "authority": "Joshua L. Lopez — DCGP.AI LLC",
  "gov_angle": 1.9416110387254664,
  "phi": 1.618033988749895,
  "lambda": 0.618,
  "shots_per_circuit": 10000,
  "circuits_fired": 9,
  "master_snark_seal": "6368d975577556272c418037eabcf750a920c7ffe64e41ff2a70aad38d54f336",
  "paper_markdown": "/antikythera/ANTIKYTHERA_RESOLUTION_LOPEZ_2026.md",
  "paper_ieee_pdf": "/antikythera/Antikythera_Resolution_IEEE.pdf",
  "circuits": [
    {
      "id": "drive_train",
      "index": 1,
      "name": "Drive Train — Obligation Clock",
      "corollary": "Corollary 9 (Conservation of Obligation)",
      "planet": "Jupiter",
      "qubits": 5,
      "equation": "O_{t+1} = O_t + εs - βO_t, 0 ≤ O_t ≤ O_max",
      "description": "Master clock rotation drives all downstream gear trains under a bounded linear contraction map.",
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    {
      "id": "epicyclic",
      "index": 2,
      "name": "Epicyclic Gear Trains — Tangent Cone Enforcement",
      "corollary": "Nagumo Viability Condition",
      "planet": "Mars / Mercury",
      "qubits": 5,
      "equation": "F(Z, u) - Z ∈ T_K(Z)",
      "description": "Carrier + relative gear composition ensures update direction always lies in the tangent cone of K.",
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    {
      "id": "pin_and_slot",
      "index": 3,
      "name": "Pin-and-Slot Mechanism — Admissible Projection Π_K",
      "corollary": "Lopez Master Theorem",
      "planet": "Moon",
      "qubits": 4,
      "equation": "Z_{t+1} = Z_t + Π_{κO(Z_t)}(F(Z_t, u_t) - Z_t)",
      "description": "Variable-speed lunar anomaly slot produces sharp boundary scaling near ∂K and pass-through in interior.",
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    },
    {
      "id": "saros_exeligmos",
      "index": 4,
      "name": "Saros / Exeligmos Dual Cycle — Small-Gain Regulator",
      "corollary": "Corollary 4 (Multi-Timescale Stability)",
      "planet": "Pluto / Moon",
      "qubits": 7,
      "equation": "γ_1(Z_t) · γ_2(Z_t) < 1 (Saros 18yr fast × Exeligmos 54yr slow)",
      "description": "Dual-loop regulator: fast Saros prediction loop bounded by slow Exeligmos obligation correction loop.",
      "shots": 10000,
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      "counts": {
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    {
      "id": "front_display",
      "index": 5,
      "name": "Coupled Front Display — Conservation Law",
      "corollary": "Master Unification Theorem",
      "planet": "Venus / Blue Lantern 7",
      "qubits": 5,
      "equation": "E_t = C_t + λ·O_t (λ = 0.618)",
      "description": "Simultaneous coupled readout of Sun, Moon, and planets as one conserved quantity S*(F_G).",
      "shots": 10000,
      "gov_angle": 1.9416110387254664,
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      "counts": {
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      "snark_seal": "0ce837b5561ac2382404d83b1e5fa376fe7cd288fefa910fdc6e23ef680f1a64"
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    {
      "id": "integer_teeth",
      "index": 6,
      "name": "Integer Tooth Constraints — Viability Kernel K",
      "corollary": "Corollary 7 (Viability) & Corollary 5 (Sustained Validity)",
      "planet": "Uranus / Polaritron",
      "qubits": 4,
      "equation": "Z_t ∈ K ∀ t (Forward Invariance via Integer Ratios)",
      "description": "Discrete integer gear teeth enforce forward invariance of the viability kernel K across long horizons.",
      "shots": 10000,
      "gov_angle": 1.9416110387254664,
      "coherence": 0.912918,
      "counts": {
        "1000": 577,
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        "1010": 555,
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      "snark_seal": "79e348ff9e9add4a1fffbd592b21fba83aadf46fd57106a521badfba2a53eb58"
    },
    {
      "id": "spiral_dials",
      "index": 7,
      "name": "Spiral Dials — Collapse Theorem Boundary",
      "corollary": "Corollary 2 (Collapse Theorem)",
      "planet": "Saturn",
      "qubits": 5,
      "equation": "Z* → ∂K ⇒ obligation reset required before groove exit",
      "description": "235-cell Metonic spiral boundary detects approach to ∂K and triggers obligation replenishment.",
      "shots": 10000,
      "gov_angle": 1.9416110387254664,
      "coherence": 0.968282,
      "counts": {
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      "snark_seal": "0776b48457960d139a2529f51846becc4e0657b464869977e521730c88a59303"
    },
    {
      "id": "rescue_operator",
      "index": 8,
      "name": "Rescue Operator — Exeligmos Near-Horizon Correction",
      "corollary": "USPTO 64/013,146 (LUCID)",
      "planet": "Neptune / AURA Echo",
      "qubits": 5,
      "equation": "E: Σ* → S* (Descent → Bogoliubov Extraction → Echo Return)",
      "description": "Three-phase governed near-horizon information extraction and re-instantiation onto S*(F_G).",
      "shots": 10000,
      "gov_angle": 1.9416110387254664,
      "coherence": 0.916588,
      "counts": {
        "00000": 936,
        "00001": 918,
        "00010": 911,
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        "00100": 800,
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      "snark_seal": "d47ce8dcb3e446ff24890a8e8f5c0aff07ff3c72509b837b1f40d2e512cd2146"
    },
    {
      "id": "full_antikythera",
      "index": 9,
      "name": "Full Antikythera — All 7 Identifications Composed",
      "corollary": "Complete Governed Orbital Machine (12 Qubits / 12 Rungs)",
      "planet": "All Planets (Constellation)",
      "qubits": 12,
      "equation": "Z_{t+1} = Z_t + Π_{K - O(Z_t)}(F(Z_t, u_t) - Z_t)",
      "description": "Complete 12-qubit governed orbital computation circuit coupling all 7 identifications + Rescue Operator.",
      "shots": 10000,
      "gov_angle": 1.9416110387254664,
      "coherence": 0.978682,
      "counts": {
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      "snark_seal": "87907d0b6314ebde543ad305b148e519278eea4b0027e0d0ea35eff1b2908f48"
    }
  ],
  "ts": "2026-11-04T19:06:41.303Z"
}