Quai is a merge-mined network of blockchains. This network is able to coordinate an infinite number of blockchains (execution shards) by using the Proof-of-Entropy-Minima (PoEM) consensus mechanism, which eliminates all consensus-based contention. The ability for PoEM to coordinate a perpetually growing set of blockchains allows the network to process more than 50,000 transactions per second. The architecture is a composable multithreaded execution environment with blocks being produced approximately every 1.1 seconds.