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Lightning Memory provides a decentralized memory solution specifically designed for AI agents operating within the Lightning economy. It addresses the critical need for agents to retain transaction history, evaluate vendor reliability, and monitor spending patterns, which is often missing in typical Lightning transactions. The system leverages a local-first SQLite database with FTS5 for efficient storage and querying, establishes cryptographic identity through Nostr keypairs, and offers a robust L402 pay-per-query HTTP gateway. This architecture enables secure, verifiable, and persistent memory, allowing agents to make more informed decisions and manage their financial interactions effectively.