Sounds like a fun project. Very cool. But why do you need to prove randomness?
It is unlikely to provide any business advantage in my opinion.
Security. If your private key ain't truly random. I may be able to guess it and steal your bitcoins.
Lol. No way you're going to steal my coins based on an "only" pseudo random key.
Anyway, not trying to rain on the parade here, carry on!
