The Dfinity team (https://dfinity.org https://dfinity.org) is using something like this to underly their blockchain implementation: they use threshold BLS signa

The Dfinity team (https://dfinity.org https://dfinity.org) is using something like this to underly their blockchain implementation: they use threshold BLS signatures with groups of nodes to sign previous chain states and still be resilient against misbehavior and network intermittence. The signatures are random, but their correctness can be verified once they have been published. To support our secure key storage work, we'll be bringing a random beacon built on similar core concepts to the Ethereum chain for Keep.