I don't ever give Ollie any fruit pits or seeds (exception: pomegranate). Mostly because I can never remember what is safe, and what's not. It seems that there are discrepancies between lists on what's safe and what's not, so I just err on the side of caution.
Here is a link:
Basic Bird Care Guide for Parrots and Other Hookbills (Under 'Absolute No-Nos")
That one mentions all fruit pits being bad, but on most other sites I came across it just lists specifically cherry pits. I'm having a hard time finding reputable sites so I'm giving up.