What the attacker wants
The attacker’s job is almost never “break math for sport.” It is conversion: take a transcript, a stolen token, a vault dump, a relayed ceremony fragment, or a mutated request and turn that capture into usable request authority. Classical deployments make that step cheap. If possession is authority, then seeing or stealing something is already most of the win - the rest is packaging the secret as a caller. Every family in this catalog argues whether that conversion still pays. Read each family page as a specialized conversion path: different capture surfaces, same question - does capture become lasting authority?
