So we know that in Islam, Allah grants the most pious of his servants with karamat, the extraordinary powers or miracles they can perform in this world. I was wondering if you could show me some of the ahadith on this? Specifically the ones that state that anyone, even non prophets/imams, can be granted those powers.

There are some Hadith that suggest this:

See here:

http://www.mediafire.com/?gc6v9krln8xc03c