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This lecture covers the concept of persistent actor state in the context of reactive programming. It discusses the importance of persisting actor state to prevent data loss, recover state after failures, and optimize bandwidth. The lecture explains the benefits of persisting current state versus changes, the use of snapshots to bound recovery time, event-sourcing to generate change requests, and the application of events for state updates. It also explores the trade-offs between performance and consistency, the implementation of the Stash trait to defer message handling, and the considerations for performing external effects. Overall, the lecture emphasizes the significance of persisting actor state for fault tolerance, data integrity, and system reliability.