Bitcoin slog: The p2p cryptocurrency. Everyone has been talking about crypto/decentralization/blockchain for so many years, but none of it truly aligns with Satoshi Nakamoto's core axiom: P2P (peer-to-peer, no central authority). Satoshi's logic behind Bitcoin is: The UTXO account model and crypto algorithms are inherently decentralized peer-to-peer systems. However, if a third party is introduced into arbitration or notarization of peer-to-peer transactions, it fails. That's why the time-stamping model was created to solve the double-spending problem. The theoretical foundation of the time-stamping model is the fusion and evolutionary drive of Turing ordinal logic systems and Nash non-cooperative game theory as dual counterparts.