How is random.org publicly verifiable? As far as I know, there's no way to prove that a certain set of numbers was produced by random.org at a certain time.
The public verifiability is the real "quantum" advance of this research; probably the title should say that. Of course, it's true that when you don't need public verifiability, your OS's entropy pool + PRNG is good enough for any currently known scenario.
The purpose of https://www.random.org/draws/ (which is unfortunately currently down), is to do exactly that.
Also it is possible for any group to agree that they will all sign messages at a given time about a given source, and stick them on a blockchain. This then becomes proof that this group all agreed on what was displayed, at that time. This becomes a kind of public verification of what was there.