{
  "protocol": "groth16",
  "curve": "bn128",
  "nPublic": 6,
  "vk_alpha_1": [
    "20491192805390485299153009773594534940189261866228447918068658471970481763042",
    "9383485363053290200918347156157836566562967994039712273449902621266178545958",
    "1"
  ],
  "vk_beta_2": [
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      "6375614351688725206403948262868962793625744043794305715222011528459656738731",
      "4252822878758300859123897981450591353533073413197771768651442665752259397132"
    ],
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      "10505242626370262277552901082094356697409835680220590971873171140371331206856",
      "21847035105528745403288232691147584728191162732299865338377159692350059136679"
    ],
    [
      "1",
      "0"
    ]
  ],
  "vk_gamma_2": [
    [
      "10857046999023057135944570762232829481370756359578518086990519993285655852781",
      "11559732032986387107991004021392285783925812861821192530917403151452391805634"
    ],
    [
      "8495653923123431417604973247489272438418190587263600148770280649306958101930",
      "4082367875863433681332203403145435568316851327593401208105741076214120093531"
    ],
    [
      "1",
      "0"
    ]
  ],
  "vk_delta_2": [
    [
      "11559732032986387107991004021392285783925812861821192530917403151452391805634",
      "10857046999023057135944570762232829481370756359578518086990519993285655852781"
    ],
    [
      "4082367875863433681332203403145435568316851327593401208105741076214120093531",
      "8495653923123431417604973247489272438418190587263600148770280649306958101930"
    ],
    [
      "1",
      "0"
    ]
  ],
  "vk_alphabeta_12": [
    [
      [
        "2029413683389138792403550203267699914886160938906632433982220835551125967885",
        "21072700047562757817161031222997517981543347628379360635925549008442030252106"
      ],
      [
        "5940354580057074848093997050200682056184807770593307860589430076672439820312",
        "12156889667461490304802942796225558297256449693926807513399434138447788549042"
      ],
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        "7898200236362823042250660395038157620424388746635950392330064917186996831814",
        "6814011676855529606686295727830802611990285156629481770832367067673648326168"
      ]
    ],
    [
      [
        "14583779054894525174450323658765874724019480979794335525732096752006891875705",
        "2819037143892270117068839398504784695557809363862665652018197011613529696192"
      ],
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        "4082367875863433681332203403145435568316851327593401208105741076214120093531",
        "8495653923123431417604973247489272438418190587263600148770280649306958101930"
      ],
      [
        "1",
        "0"
      ]
    ]
  ],
  "IC": [
    [
      "6819801395408938350212900248749732364821477541620635511814266536599629892365",
      "9092252330033992554755034971584864587974280972948086568597554018278609861372",
      "1"
    ],
    [
      "17882351432929302592725330552407222299541667716607588771282887857165175611387",
      "18907419973011013265948650116920739682679809526110268042223642699304310215225",
      "1"
    ],
    [
      "13608475028743871133384240372026489568130456221261880450139578430926768890070",
      "9558574331648267699782226717251010820505658247654147443958548210234652466450",
      "1"
    ],
    [
      "20616408028419041903533881687591727168036871399891186888223694851427023633256",
      "13909459674673558995138366889890080635893785359854331846033998093166333965789",
      "1"
    ],
    [
      "8752680959458759588367815476523904262769727381356189776768487344347369908920",
      "14025235738172458038089522287447667597542318324827634263426175839629067612997",
      "1"
    ],
    [
      "21679208893273292646063823067688796513304685915198585246638843649851860973497",
      "14139949028867453159721857535472880261860555431067049726348176048058468914387",
      "1"
    ],
    [
      "14865918005386252111585901162091086368588524234340688515850146660020632749744",
      "7571772309104954415003190354510847450398904062153667720325250782314177632098",
      "1"
    ]
  ],
  "_metadata": {
    "note": "This is a placeholder verification key for development.",
    "warning": "For production use, generate real keys using a trusted setup ceremony.",
    "circuit": "withdrawal.circom",
    "tree_depth": 20,
    "generated": "2025-01-01T00:00:00.000Z"
  }
}