GM I have reproduced the PLT of Giovanni : https://dune.com/qzf2msjbfumw/analysis-of-power-law-theory

I give his model little predictive power for the $ price, but I find scale invariance interesting and relevant to follow, for example for adoption or the “price” of PoW. If you have any additional chart ideas, I'd be glad to hear from you.

Note: the retrieval of the number of active addresses through time is not exact, but the invariance seems respected.