Looking for universally unique random generators with properties like timestamp

I have a use case where multiple parties need to generate a same ID based on trade details. However, there could be multiple trades with the same details and timestamp seem to be the only variable. The problem of timestamp is that it can only be generated by one party then shared with the other parties to consume.

Is there are way all parties could generate the same random number to use in generating the same ID based on trade details?

Some leads that I've considered - distributed/parallel random generator, nonce, google authenticator and related APIs.

Picking your brains on any means to generate a non-repeating, common yet unique number by multiple parties, preferably without going through internet.