I love Flint already!
As for the Given Authority, the Original Authority consisted of five original diamonds (Sundrop, Blue Ice, Harmony, Red Chery, Orchid), which were then shattered by Yellow, Blue, and White after the Originals created them.
Blue, Yellow, and White also shattered as many gems as they could that were considered 'off-colored' or 'defective'. The surviving gems were then assigned to any of the new Diamonds, which would then be their 'Given Authority'. For example, Purple originally belonged to Orchid, but she now belongs to Blue Diamond under White's choice!
I hope that cleared up any confusion! I probably should add a bit more info into the How To Join or About threads.