Imagine that node A and B are in sync (they have the same bloom filter). If A sends a new event to B, B can check if A's new event really results in that new bl

Imagine that node A and B are in sync (they have the same bloom filter). If A sends a new event to B, B can check if A's new event really results in that new bloom filter. You basically have a cryptographic proof that an event really happened at that moment. If the hashes of an event point to different indices, you know that something is wrong. Edit: Typo.