@ Paul

I didn't mean to write a review of the paper, but rather to implement in Wolfram Language the main ingredients of the steps used to run the large simulations from the paper.

Yes, there are quite a few papers that deal with hash generation through chaotic maps of the one or another flavor (discrete and continuous, including CAs). My reading of the paper is that this is the most physical version so far. Maybe even with the prospect of building a physical device that spits out hashes for certain kind of input (protocols). And the reverse question: what is the most natural representation of a hash in a physical system? Chaotic systems surely can be used to generate hashes because they quickly change and they are hard to invert. But maybe there is even a quantum version for a fully linear evolution? Partial traces seem perfect to reduce information. If say the message is encoded in a quasi-periodic driving force (similar to the stirring protocol), could time crystals be used for hash generation? Or in the periodicity of some external field (Harper equation).

Some of the advantages of the system is the early-time hyperuniform hash distribution.

Wrt the script letters. Imo the use of the same variables as original literature makes comparing the two easier. That is why I used them.

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