[zamadatix]

Most hashes are really good but the point was why replace the perfectly unique information in the cycle counter + time stamp combo with "most likely nearly unique" in the first place. After all, if the former isn't unique then neither are the hashes anyways.

Hashes are EXTREMELY compressible, albeit known algorithms are extraordinarily slow. E.g. I can compress any SHA256 output to a matter of kilobytes, maybe less, by using the SHA256 algorithm as the compressor algorithm and iterating through seeds until I get a match. With true entropy you can't guarantee that for all inputs, regardless of how long you take.

Different types of "information" ate at play here with the different types of entropy as well. If I have a 16 bit hash function and feed it a 64 bit value 48 bits of computational information is lost (at minimum). What happens with the physical information you used to represent the computation after you get the information result is separate from what happens with the computational information.