I would recommend reviewing my prior comments on this, as I address the concerns of multiple nodes needing to be able to independently produce identities without collisions or coordination.

If you know beforehand the maximum number of participants in your system, you can divide the keyspace across that quantity. If you are using BigInteger or equivalent, you have an infinite number of these things to work with, so it doesnt really matter if you wind up skipping trillions of identities at first. The original article even advocates for this as its first point, but without as much practical justification.