I've always found it easier to remember the actual digits of Pi (up to a reasonable number of places) than to remember the mnemonics! ;-)
(I used to be able to rattle off the first fifty or so digits but my 'little grey cells' aren't quite as good as they used to be!)
There are plenty of downloadable versions of Pi (from reputable sources, such as leading universities) providing well over the number of places you require but, if you want 'proof', to what extent would you trust the methodology used for the calculation? For example I could produce a computer program, within a few minutes, that can produce an increasingly accurate estimate for Pi but that program would rely upon all random numbers generated by the computer being genuinely random (and not the pseudo-random numbers which most computers actually generate).
Chris