{
  "version": "2.0.0",
  "framework": "Sentinel Manifold",
  "theorem": "lim F'(z)/F(z) = 1/e",
  "function": "F(z) = \u03a3 z^n/n^n",
  "text_vocab": 65536,
  "image_codebook": 16384,
  "audio_codebook": 8192,
  "video_codebook": 4096,
  "total_vocab": 94208,
  "training_languages": 30,
  "training_samples": 287600,
  "training_chars": 465942294,
  "constants": {
    "INV_E": 0.36787944117144233,
    "C1": -0.007994021805952546,
    "C2": 0.00020005604296784437
  },
  "benchmark": {
    "Sentinel-v2": {
      "compress": 4.3427,
      "fertility": 10.5022,
      "vocab": 94208,
      "efficiency": 0.046097
    },
    "GPT-2": {
      "compress": 2.4381,
      "fertility": 28.8158,
      "vocab": 50257,
      "efficiency": 0.048513
    },
    "Gemma": {
      "compress": 5.3287,
      "fertility": 8.348,
      "vocab": 256000,
      "efficiency": 0.020815
    },
    "Qwen2": {
      "compress": 4.3289,
      "fertility": 10.4499,
      "vocab": 151936,
      "efficiency": 0.028491
    }
  },
  "modality_architecture": {
    "text": "ByteLevel BPE (65,536), NFKC, 30 languages",
    "image": "VQ codebook (16,384), Cosmos/VQGAN/FSQ compatible",
    "audio": "VQ codebook (8,192), EnCodec/SoundStream compatible",
    "video": "VQ codebook (4,096), Cosmos-DV compatible"
  }
}