{
  "title": "Black-Hole Microstates and Stringy Entropy: structure map",
  "chapter": "Black-Hole Microstates and Stringy Entropy",
  "kind": "structure",
  "schematic": true,
  "not_to_scale": true,
  "stages": [
    "charges and protected sector",
    "index versus degeneracy",
    "brane count and attractor data",
    "correction and emission checks",
    "microstate claim"
  ],
  "claims": [
    {
      "object": "BPS index",
      "required_declaration": "charges, chamber, and fermion signs",
      "diagnostic": "wall-crossing and growth check",
      "licensed_conclusion": "protected signed count",
      "unsupported_promotion": "actual degeneracy in every regime"
    },
    {
      "object": "brane microstate count",
      "required_declaration": "decoupling limit and charge map",
      "diagnostic": "Cardy or localization comparison",
      "licensed_conclusion": "entropy match in a controlled sector",
      "unsupported_promotion": "typical non-BPS geometry"
    },
    {
      "object": "microstate geometry",
      "required_declaration": "smooth solution family and quantization",
      "diagnostic": "charge, moduli, and measure test",
      "licensed_conclusion": "explicit semiclassical states",
      "unsupported_promotion": "enumeration of the full Hilbert space"
    }
  ],
  "takeaway": "Protected indices, actual degeneracies, typical states, and non-BPS microstates must remain distinct when compared with black-hole entropy."
}