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Looks like essential difference is that equihash is purportedly bottlenecked by memory (neat!), while this pow crate uses sha256, which is not.
The pow crate also provides some abstractions to make it easy to do pow on certain rust types without the caller needing to think too much about serialization, more of a ux thing.
https://www.internetsociety.org/sites/default/files/blogs-media/equihash-asymmetric-proof-of-work-based-generalized-birthday-problem.pdf a PoW system that is cheap to verify on the server and also memory hard? I'm author of https://github.com/stef/equihash/ - also funded by ngi0 - but in PET...
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