{
  "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": "1df6daadac5f78dd10b1c06f2a7077d4a2f4bfd1cb88fafb1e01d80d86dcc24e",
  "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.",
      "shots": 10000,
      "gov_angle": 1.9416110387254664,
      "coherence": 0.923318,
      "counts": {
        "00000": 920,
        "00001": 896,
        "00010": 877,
        "00011": 799,
        "00100": 791,
        "00101": 736,
        "00110": 716,
        "00111": 684,
        "01000": 559,
        "01001": 629,
        "01010": 530,
        "01011": 413,
        "01100": 414,
        "01101": 335,
        "01110": 361,
        "01111": 340
      },
      "snark_seal": "dc2f69652812c910f2f15050bd3b951d9e1d6fbb75f6815532a13f724eda5895"
    },
    {
      "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.",
      "shots": 10000,
      "gov_angle": 1.9416110387254664,
      "coherence": 0.916588,
      "counts": {
        "00000": 922,
        "00001": 900,
        "00010": 883,
        "00011": 803,
        "00100": 836,
        "00101": 766,
        "00110": 680,
        "00111": 608,
        "01000": 622,
        "01001": 542,
        "01010": 529,
        "01011": 499,
        "01100": 418,
        "01101": 363,
        "01110": 361,
        "01111": 268
      },
      "snark_seal": "9f9511a2a8d6e15b3afbc31614917690e101199ea47ecd74ee4646d7b8ede35e"
    },
    {
      "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.",
      "shots": 10000,
      "gov_angle": 1.9416110387254664,
      "coherence": 0.928824,
      "counts": {
        "1000": 628,
        "1001": 600,
        "1010": 535,
        "1011": 471,
        "1100": 462,
        "1101": 354,
        "1110": 317,
        "1111": 298,
        "0000": 891,
        "0001": 860,
        "0010": 835,
        "0011": 799,
        "0100": 821,
        "0101": 793,
        "0110": 688,
        "0111": 648
      },
      "snark_seal": "0b55bec609ce9a7e25bab410147b12ec6db66ecdea2258fc73d436dcb6c2fdf3"
    },
    {
      "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,
      "gov_angle": 1.9416110387254664,
      "coherence": 0.978682,
      "counts": {
        "0000000": 894,
        "0000001": 892,
        "0000010": 844,
        "0000011": 817,
        "0000100": 836,
        "0000101": 776,
        "0000110": 723,
        "0000111": 727,
        "0001000": 663,
        "0001001": 510,
        "0001010": 523,
        "0001011": 491,
        "0001100": 423,
        "0001101": 345,
        "0001110": 314,
        "0001111": 222
      },
      "snark_seal": "28e3c03f16a88f67fb3250766b9066ef21074697e2891171cd8bd7212476e816"
    },
    {
      "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,
      "coherence": 0.980212,
      "counts": {
        "00000": 888,
        "00001": 909,
        "00010": 886,
        "00011": 833,
        "00100": 750,
        "00101": 785,
        "00110": 719,
        "00111": 614,
        "01000": 584,
        "01001": 504,
        "01010": 574,
        "01011": 509,
        "01100": 471,
        "01101": 436,
        "01110": 280,
        "01111": 258
      },
      "snark_seal": "01fea989e4f93f5886a901fb98c6ca3e5dae64704bb3fc78c84882a9ab944629"
    },
    {
      "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": 0.958188,
      "counts": {
        "1000": 647,
        "1001": 518,
        "1010": 520,
        "1011": 495,
        "1100": 442,
        "1101": 415,
        "1110": 325,
        "1111": 286,
        "0000": 894,
        "0001": 878,
        "0010": 828,
        "0011": 849,
        "0100": 815,
        "0101": 755,
        "0110": 695,
        "0111": 638
      },
      "snark_seal": "4fc3423c467728b6b904fcd094517df996276c3e13f2f8f47fcd697e5da2c903"
    },
    {
      "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": 0.958188,
      "counts": {
        "00000": 890,
        "00001": 898,
        "00010": 884,
        "00011": 816,
        "00100": 757,
        "00101": 753,
        "00110": 733,
        "00111": 701,
        "01000": 603,
        "01001": 575,
        "01010": 474,
        "01011": 522,
        "01100": 362,
        "01101": 424,
        "01110": 308,
        "01111": 300
      },
      "snark_seal": "93725dab51f8ea785db866b7c5d00b92e789b412db2ae10ffafd8adce2a5953b"
    },
    {
      "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": 0.954824,
      "counts": {
        "00000": 885,
        "00001": 852,
        "00010": 804,
        "00011": 834,
        "00100": 817,
        "00101": 782,
        "00110": 644,
        "00111": 661,
        "01000": 623,
        "01001": 567,
        "01010": 570,
        "01011": 529,
        "01100": 449,
        "01101": 364,
        "01110": 323,
        "01111": 296
      },
      "snark_seal": "0f6e7049a512c9a5d1de8a78055801ace9fbddb85119bed483b3696dd013fee7"
    },
    {
      "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": 0.934024,
      "counts": {
        "000000000000": 920,
        "000000000001": 860,
        "000000000010": 851,
        "000000000011": 862,
        "000000000100": 848,
        "000000000101": 815,
        "000000000110": 709,
        "000000000111": 727,
        "000000001000": 641,
        "000000001001": 513,
        "000000001010": 469,
        "000000001011": 457,
        "000000001100": 413,
        "000000001101": 329,
        "000000001110": 301,
        "000000001111": 285
      },
      "snark_seal": "73a65f1bd517dc7549492dd0647189b05322998e77ba706e4abf5df1f81fdaa2"
    }
  ],
  "ts": "2026-10-27T22:35:22.863Z"
}