RandomX VS ProgPOW

This is not true for all crypto coins. A small proportion of mining hash functions are deliberately designed to thwart ASICs, e.g. https://github.com/tevador/RandomX. It's a cat-and-mouse game, though: CryptoNight was designed to fulfill the same role, but ultimately failed: https://monerodocs.org/proof-of-work/cryptonight/.

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Can we reference this specs doc from the Randomx repo https://github.com/tevador/RandomX/blob/master/doc/specs.md . I am going to be using the variables K and H as described in the doc.

Monero uses randomx, an ASIC-resistant and CPU-friendly POW algorithm created by Monero community members, designed to make the use of mining-specific hardware unfeasible. Monero previously used CryptoNight and variations of this algorithm. More info in the GitHub repo.

Here's the randomx github. Or at least I think its the same randomx that xmr uses? https://github.com/tevador/RandomX. There's some stuff in there under the documentation section.

Monero does not have ASICs since RandomX was implemented in 2019. CPU is the best way to mine it. See https://github.com/tevador/RandomX.

If energy usage / asic unavailability due to chip shortage becomes a serious issue and is causing potential centralization, consider change of PoW algorithm to ProgPoW which is a well developed ASIC resistant GPU friendly hashing algorithm. If energy use or GPU availability becomes a major concern, there is always the CPU algo Yespower.

A large common subset of native hardware instructions exists among different CPU architectures. The same cannot be said about GPUs. For example, there is no common integer multiplication instruction for NVIDIA and AMD GPUs [2].