{
 "meta": {
  "league": "NSBA4 2026",
  "as_of": "after Week 1",
  "K": 0.4,
  "what": "Per-player per-subject ability ratings (theta). Seed = combine+draft; updated by Week-1 results (direct-buzz attribution) with the nsba3-calibrated learning rate K=0.4. These ratings are the INPUT to the game-simulation engine, not the lines themselves.",
  "caveats": [
   "1 week of data (6 games)",
   "players with games=0 did not play Week 1, still at seed",
   "game 46 (Stitch vs czz) is tossup-level only (no buzz timing)",
   "2 unlinked rookies excluded (no canonical id yet)"
  ]
 },
 "ratings": [
  {
   "canonical_id": "P0346",
   "player": "Kian D",
   "team": "Connor Chang",
   "games": 1,
   "overall0": 0.848,
   "overall1": 0.999,
   "delta": 0.151,
   "theta_b": 1.351,
   "theta_ch": 2.526,
   "theta_cs": 0.093,
   "theta_ess": -0.875,
   "theta_m": 1.227,
   "theta_p": 1.67
  },
  {
   "canonical_id": "P0619",
   "player": "Vishnu M",
   "team": "czz",
   "games": 1,
   "overall0": 0.577,
   "overall1": 0.847,
   "delta": 0.27,
   "theta_b": 0.257,
   "theta_ch": 0.219,
   "theta_cs": 1.363,
   "theta_ess": 2.384,
   "theta_m": 0.505,
   "theta_p": 0.353
  },
  {
   "canonical_id": "P0261",
   "player": "Harry G",
   "team": "GidTheKid2",
   "games": 0,
   "overall0": 0.784,
   "overall1": 0.784,
   "delta": 0.0,
   "theta_b": 0.04,
   "theta_ch": 1.097,
   "theta_cs": 1.101,
   "theta_ess": 0.656,
   "theta_m": 1.448,
   "theta_p": 0.364
  },
  {
   "canonical_id": "P0203",
   "player": "Edwin H",
   "team": "jonathan",
   "games": 0,
   "overall0": 0.71,
   "overall1": 0.71,
   "delta": 0.0,
   "theta_b": 1.31,
   "theta_ch": 0.614,
   "theta_cs": -0.27,
   "theta_ess": 1.267,
   "theta_m": -0.109,
   "theta_p": 1.447
  },
  {
   "canonical_id": "P0043",
   "player": "Akhil B",
   "team": "James W",
   "games": 1,
   "overall0": 0.592,
   "overall1": 0.706,
   "delta": 0.115,
   "theta_b": 0.51,
   "theta_ch": 0.734,
   "theta_cs": 0.19,
   "theta_ess": 1.221,
   "theta_m": 0.894,
   "theta_p": 0.69
  },
  {
   "canonical_id": "P0581",
   "player": "Suzuko O",
   "team": "cryo",
   "games": 0,
   "overall0": 0.623,
   "overall1": 0.623,
   "delta": 0.0,
   "theta_b": 1.442,
   "theta_ch": 0.386,
   "theta_cs": 0.277,
   "theta_ess": 0.589,
   "theta_m": 0.33,
   "theta_p": 0.716
  },
  {
   "canonical_id": "P0532",
   "player": "Sean F",
   "team": "anurag",
   "games": 1,
   "overall0": 0.465,
   "overall1": 0.603,
   "delta": 0.138,
   "theta_b": 1.21,
   "theta_ch": 0.165,
   "theta_cs": 0.865,
   "theta_ess": 0.354,
   "theta_m": 0.098,
   "theta_p": 0.924
  },
  {
   "canonical_id": "P0594",
   "player": "Theenash S",
   "team": "mingle/Yunyi",
   "games": 1,
   "overall0": 0.371,
   "overall1": 0.596,
   "delta": 0.225,
   "theta_b": 1.356,
   "theta_ch": 0.529,
   "theta_cs": 0.131,
   "theta_ess": 0.512,
   "theta_m": 0.142,
   "theta_p": 0.908
  },
  {
   "canonical_id": "P0485",
   "player": "Rohan G",
   "team": "xpoes",
   "games": 1,
   "overall0": 0.473,
   "overall1": 0.553,
   "delta": 0.079,
   "theta_b": 0.153,
   "theta_ch": -0.322,
   "theta_cs": 1.276,
   "theta_ess": 0.824,
   "theta_m": 0.831,
   "theta_p": 0.554
  },
  {
   "canonical_id": "P0505",
   "player": "Ryan K",
   "team": "(Stitch)^2",
   "games": 1,
   "overall0": 0.394,
   "overall1": 0.469,
   "delta": 0.075,
   "theta_b": 0.55,
   "theta_ch": -0.269,
   "theta_cs": 0.32,
   "theta_ess": -0.115,
   "theta_m": 0.74,
   "theta_p": 1.586
  },
  {
   "canonical_id": "P0219",
   "player": "Eric L",
   "team": "ChessFun",
   "games": 1,
   "overall0": 0.24,
   "overall1": 0.375,
   "delta": 0.136,
   "theta_b": 3.508,
   "theta_ch": 0.927,
   "theta_cs": -0.362,
   "theta_ess": -0.469,
   "theta_m": -0.211,
   "theta_p": -1.143
  },
  {
   "canonical_id": "P0283",
   "player": "Ishaan K",
   "team": "ChessFun",
   "games": 1,
   "overall0": 0.242,
   "overall1": 0.357,
   "delta": 0.115,
   "theta_b": 0.182,
   "theta_ch": 0.102,
   "theta_cs": 0.438,
   "theta_ess": 0.853,
   "theta_m": 0.053,
   "theta_p": 0.515
  },
  {
   "canonical_id": "P0050",
   "player": "Aldric B",
   "team": "Fez_Keyreb",
   "games": 0,
   "overall0": 0.342,
   "overall1": 0.342,
   "delta": 0.0,
   "theta_b": 0.073,
   "theta_ch": -0.475,
   "theta_cs": 0.347,
   "theta_ess": 1.371,
   "theta_m": -0.048,
   "theta_p": 0.786
  },
  {
   "canonical_id": "P0655",
   "player": "William J",
   "team": "GidTheKid2",
   "games": 1,
   "overall0": 0.177,
   "overall1": 0.272,
   "delta": 0.095,
   "theta_b": 0.444,
   "theta_ch": 1.001,
   "theta_cs": -0.859,
   "theta_ess": 0.03,
   "theta_m": 0.393,
   "theta_p": 0.626
  },
  {
   "canonical_id": "P0452",
   "player": "Praneel A",
   "team": "(Stitch)^2",
   "games": 1,
   "overall0": 0.349,
   "overall1": 0.255,
   "delta": -0.094,
   "theta_b": -0.323,
   "theta_ch": 0.36,
   "theta_cs": -0.414,
   "theta_ess": 0.898,
   "theta_m": 0.119,
   "theta_p": 0.889
  },
  {
   "canonical_id": "P0085",
   "player": "Angelina Y",
   "team": "sumin",
   "games": 1,
   "overall0": 0.109,
   "overall1": 0.222,
   "delta": 0.113,
   "theta_b": 2.674,
   "theta_ch": -0.578,
   "theta_cs": -0.305,
   "theta_ess": 0.129,
   "theta_m": -0.231,
   "theta_p": -0.355
  },
  {
   "canonical_id": "P0375",
   "player": "Lucas W",
   "team": "sumin",
   "games": 0,
   "overall0": 0.211,
   "overall1": 0.211,
   "delta": 0.0,
   "theta_b": 0.974,
   "theta_ch": 0.485,
   "theta_cs": -0.256,
   "theta_ess": -0.413,
   "theta_m": -1.038,
   "theta_p": 1.516
  },
  {
   "canonical_id": "P0202",
   "player": "Edward C",
   "team": "cryo",
   "games": 1,
   "overall0": 0.03,
   "overall1": 0.207,
   "delta": 0.178,
   "theta_b": -0.512,
   "theta_ch": -0.499,
   "theta_cs": 1.324,
   "theta_ess": -0.063,
   "theta_m": -0.576,
   "theta_p": 1.569
  },
  {
   "canonical_id": "P0494",
   "player": "Roshan A",
   "team": "mingle/Yunyi",
   "games": 0,
   "overall0": 0.13,
   "overall1": 0.13,
   "delta": 0.0,
   "theta_b": -0.853,
   "theta_ch": -1.068,
   "theta_cs": -0.178,
   "theta_ess": 0.244,
   "theta_m": 1.175,
   "theta_p": 1.46
  },
  {
   "canonical_id": "P0656",
   "player": "Pravira D",
   "team": "xpoes",
   "games": 1,
   "overall0": 0.076,
   "overall1": 0.11,
   "delta": 0.034,
   "theta_b": -0.22,
   "theta_ch": -0.276,
   "theta_cs": -0.169,
   "theta_ess": 1.114,
   "theta_m": -0.331,
   "theta_p": 0.545
  },
  {
   "canonical_id": "P0323",
   "player": "Justin K",
   "team": "Fez_Keyreb",
   "games": 0,
   "overall0": 0.095,
   "overall1": 0.095,
   "delta": 0.0,
   "theta_b": 0.212,
   "theta_ch": -0.104,
   "theta_cs": 0.396,
   "theta_ess": -0.884,
   "theta_m": 0.728,
   "theta_p": 0.222
  },
  {
   "canonical_id": "P0660",
   "player": "Rahib H",
   "team": "Connor Chang",
   "games": 1,
   "overall0": 0.131,
   "overall1": 0.078,
   "delta": -0.054,
   "theta_b": -0.266,
   "theta_ch": -0.561,
   "theta_cs": -0.017,
   "theta_ess": 2.366,
   "theta_m": -0.38,
   "theta_p": -0.677
  },
  {
   "canonical_id": "P0675",
   "player": "Dennis J",
   "team": "dan.k.memes",
   "games": 1,
   "overall0": 0.085,
   "overall1": 0.078,
   "delta": -0.007,
   "theta_b": -0.248,
   "theta_ch": -0.727,
   "theta_cs": 1.199,
   "theta_ess": -0.438,
   "theta_m": -0.501,
   "theta_p": 1.184
  },
  {
   "canonical_id": "P0538",
   "player": "Selena Y",
   "team": "dan.k.memes",
   "games": 0,
   "overall0": 0.077,
   "overall1": 0.077,
   "delta": 0.0,
   "theta_b": 1.844,
   "theta_ch": -0.442,
   "theta_cs": 0.002,
   "theta_ess": 0.121,
   "theta_m": -0.014,
   "theta_p": -1.05
  },
  {
   "canonical_id": "P0553",
   "player": "Sid S",
   "team": "jonathan",
   "games": 0,
   "overall0": 0.062,
   "overall1": 0.062,
   "delta": 0.0,
   "theta_b": -0.588,
   "theta_ch": 0.115,
   "theta_cs": -0.377,
   "theta_ess": 0.369,
   "theta_m": 0.232,
   "theta_p": 0.619
  },
  {
   "canonical_id": "P0099",
   "player": "Arjun D",
   "team": "(Stitch)^2",
   "games": 1,
   "overall0": -0.049,
   "overall1": 0.051,
   "delta": 0.1,
   "theta_b": 1.039,
   "theta_ch": -0.169,
   "theta_cs": -0.147,
   "theta_ess": -0.126,
   "theta_m": -0.158,
   "theta_p": -0.131
  },
  {
   "canonical_id": "P0544",
   "player": "Shaun I",
   "team": "ChessFun",
   "games": 0,
   "overall0": 0.041,
   "overall1": 0.041,
   "delta": 0.0,
   "theta_b": 0.058,
   "theta_ch": 0.061,
   "theta_cs": -0.574,
   "theta_ess": -0.213,
   "theta_m": 0.264,
   "theta_p": 0.651
  },
  {
   "canonical_id": "P0113",
   "player": "Aryan B",
   "team": "jonathan",
   "games": 0,
   "overall0": 0.028,
   "overall1": 0.028,
   "delta": 0.0,
   "theta_b": 1.0,
   "theta_ch": -0.028,
   "theta_cs": 0.542,
   "theta_ess": -0.389,
   "theta_m": -0.147,
   "theta_p": -0.807
  },
  {
   "canonical_id": "P0608",
   "player": "Varyan J",
   "team": "dan.k.memes",
   "games": 1,
   "overall0": -0.018,
   "overall1": 0.01,
   "delta": 0.027,
   "theta_b": -0.56,
   "theta_ch": -0.023,
   "theta_cs": -0.557,
   "theta_ess": 0.26,
   "theta_m": 0.03,
   "theta_p": 0.911
  },
  {
   "canonical_id": "P0664",
   "player": "Arman A",
   "team": "James W",
   "games": 1,
   "overall0": 0.151,
   "overall1": 0.003,
   "delta": -0.147,
   "theta_b": 0.399,
   "theta_ch": -0.051,
   "theta_cs": 0.189,
   "theta_ess": 0.062,
   "theta_m": -0.424,
   "theta_p": -0.155
  },
  {
   "canonical_id": "P0568",
   "player": "Sriman D",
   "team": "dan.k.memes",
   "games": 0,
   "overall0": 0.001,
   "overall1": 0.001,
   "delta": 0.0,
   "theta_b": -0.033,
   "theta_ch": -0.092,
   "theta_cs": -0.316,
   "theta_ess": 0.343,
   "theta_m": -0.154,
   "theta_p": 0.256
  },
  {
   "canonical_id": "P0159",
   "player": "Chris W",
   "team": "Fez_Keyreb",
   "games": 0,
   "overall0": -0.006,
   "overall1": -0.006,
   "delta": 0.0,
   "theta_b": -0.883,
   "theta_ch": -0.042,
   "theta_cs": 0.054,
   "theta_ess": 0.229,
   "theta_m": 0.322,
   "theta_p": 0.284
  },
  {
   "canonical_id": "P0653",
   "player": "Jianyu W",
   "team": "xpoes",
   "games": 1,
   "overall0": -0.047,
   "overall1": -0.009,
   "delta": 0.038,
   "theta_b": -0.88,
   "theta_ch": 1.325,
   "theta_cs": -0.456,
   "theta_ess": -0.195,
   "theta_m": 0.185,
   "theta_p": -0.034
  },
  {
   "canonical_id": "P0665",
   "player": "Kavin A",
   "team": "James W",
   "games": 0,
   "overall0": -0.015,
   "overall1": -0.015,
   "delta": 0.0,
   "theta_b": 0.477,
   "theta_ch": -0.06,
   "theta_cs": -0.288,
   "theta_ess": -0.341,
   "theta_m": -0.144,
   "theta_p": 0.267
  },
  {
   "canonical_id": "P0341",
   "player": "Kevin F",
   "team": "sumin",
   "games": 0,
   "overall0": -0.021,
   "overall1": -0.021,
   "delta": 0.0,
   "theta_b": -0.486,
   "theta_ch": -0.03,
   "theta_cs": -0.705,
   "theta_ess": 0.817,
   "theta_m": 0.538,
   "theta_p": -0.259
  },
  {
   "canonical_id": "P0087",
   "player": "Anish A",
   "team": "czz",
   "games": 0,
   "overall0": -0.029,
   "overall1": -0.029,
   "delta": 0.0,
   "theta_b": -0.029,
   "theta_ch": -0.029,
   "theta_cs": -0.029,
   "theta_ess": -0.029,
   "theta_m": -0.029,
   "theta_p": -0.029
  },
  {
   "canonical_id": "P0542",
   "player": "Shannon I",
   "team": "cryo",
   "games": 1,
   "overall0": 0.036,
   "overall1": -0.068,
   "delta": -0.105,
   "theta_b": -0.182,
   "theta_ch": 1.632,
   "theta_cs": -0.749,
   "theta_ess": -0.636,
   "theta_m": -0.244,
   "theta_p": -0.232
  },
  {
   "canonical_id": "P0035",
   "player": "Advai S",
   "team": "sumin",
   "games": 1,
   "overall0": -0.178,
   "overall1": -0.069,
   "delta": 0.109,
   "theta_b": -0.354,
   "theta_ch": -0.548,
   "theta_cs": -0.629,
   "theta_ess": 0.976,
   "theta_m": -0.204,
   "theta_p": 0.346
  },
  {
   "canonical_id": "P0076",
   "player": "Andrew W",
   "team": "ChessFun",
   "games": 1,
   "overall0": -0.098,
   "overall1": -0.072,
   "delta": 0.026,
   "theta_b": -0.141,
   "theta_ch": -0.197,
   "theta_cs": -0.243,
   "theta_ess": -0.232,
   "theta_m": 0.168,
   "theta_p": 0.212
  },
  {
   "canonical_id": "P0185",
   "player": "Daniel Y",
   "team": "xpoes",
   "games": 0,
   "overall0": -0.079,
   "overall1": -0.079,
   "delta": 0.0,
   "theta_b": -0.688,
   "theta_ch": -0.506,
   "theta_cs": 0.626,
   "theta_ess": 0.735,
   "theta_m": -0.079,
   "theta_p": -0.56
  },
  {
   "canonical_id": "P0603",
   "player": "Travis D",
   "team": "anurag",
   "games": 1,
   "overall0": 0.012,
   "overall1": -0.091,
   "delta": -0.103,
   "theta_b": -0.159,
   "theta_ch": -0.298,
   "theta_cs": 0.473,
   "theta_ess": 0.669,
   "theta_m": -0.284,
   "theta_p": -0.947
  },
  {
   "canonical_id": "P0528",
   "player": "Santhosh B",
   "team": "sumin",
   "games": 0,
   "overall0": -0.097,
   "overall1": -0.097,
   "delta": 0.0,
   "theta_b": -0.135,
   "theta_ch": -0.403,
   "theta_cs": 1.046,
   "theta_ess": 0.107,
   "theta_m": -0.665,
   "theta_p": -0.529
  },
  {
   "canonical_id": "P0647",
   "player": "Ishan A",
   "team": "Connor Chang",
   "games": 0,
   "overall0": -0.112,
   "overall1": -0.112,
   "delta": 0.0,
   "theta_b": -0.43,
   "theta_ch": -0.485,
   "theta_cs": 0.119,
   "theta_ess": 0.44,
   "theta_m": -0.058,
   "theta_p": -0.259
  },
  {
   "canonical_id": "P0407",
   "player": "Monish S",
   "team": "GidTheKid2",
   "games": 1,
   "overall0": 0.052,
   "overall1": -0.127,
   "delta": -0.179,
   "theta_b": -0.553,
   "theta_ch": -0.62,
   "theta_cs": -0.412,
   "theta_ess": 0.475,
   "theta_m": -0.661,
   "theta_p": 1.011
  },
  {
   "canonical_id": "P0607",
   "player": "Uddip K",
   "team": "mingle/Yunyi",
   "games": 1,
   "overall0": -0.03,
   "overall1": -0.131,
   "delta": -0.101,
   "theta_b": -0.532,
   "theta_ch": -0.01,
   "theta_cs": -0.087,
   "theta_ess": -0.063,
   "theta_m": 0.094,
   "theta_p": -0.189
  },
  {
   "canonical_id": "P0672",
   "player": "Rishvanth B",
   "team": "ChessFun",
   "games": 1,
   "overall0": -0.031,
   "overall1": -0.148,
   "delta": -0.117,
   "theta_b": -0.054,
   "theta_ch": -0.15,
   "theta_cs": -0.41,
   "theta_ess": -0.518,
   "theta_m": -0.258,
   "theta_p": 0.504
  },
  {
   "canonical_id": "P0335",
   "player": "Kensuke O",
   "team": "jonathan",
   "games": 0,
   "overall0": -0.153,
   "overall1": -0.153,
   "delta": 0.0,
   "theta_b": -0.268,
   "theta_ch": -0.244,
   "theta_cs": -0.012,
   "theta_ess": -0.309,
   "theta_m": -0.395,
   "theta_p": 0.312
  },
  {
   "canonical_id": "P0147",
   "player": "Bryce T",
   "team": "cryo",
   "games": 1,
   "overall0": -0.102,
   "overall1": -0.157,
   "delta": -0.055,
   "theta_b": -0.266,
   "theta_ch": -0.179,
   "theta_cs": -0.222,
   "theta_ess": 0.152,
   "theta_m": -0.227,
   "theta_p": -0.199
  },
  {
   "canonical_id": "P0650",
   "player": "Sam E",
   "team": "(Stitch)^2",
   "games": 1,
   "overall0": -0.153,
   "overall1": -0.187,
   "delta": -0.034,
   "theta_b": -0.155,
   "theta_ch": 0.169,
   "theta_cs": -0.053,
   "theta_ess": 0.18,
   "theta_m": -0.203,
   "theta_p": -1.06
  },
  {
   "canonical_id": "P0657",
   "player": "Matthew Y",
   "team": "dan.k.memes",
   "games": 1,
   "overall0": -0.002,
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