I swear I'm not normally this person but I think if 'web of trust' means a database that is replicated in parts across many different computers and uses cryptographic signing to authenticate messages, you're describing the thing known to the bros and the gen-Zs as a blockchain
Blockchain refers specifically to a linked-list-like data structure which utilizes cryptographic hashes at each node to store an authentication of the tail of the list on each head (node). If you have a similar structure using trees, it's a merkle tree. Replication + message signing does not imply either (necessarily).