I've had questions about this too. 13 years ago I was associated with a guy that had to fill out a police report due to petit theft. Was a really weird incident actually. Long story short 3 years after the actual incident they had me appear in court and gave me 6 months probation. Never got in trouble before and never after. A totally screwed up situation.
When I run a criminal background check nothing at all comes up all. Having worked at two airlines I have never listed on the app and they never said anything. I actually asked an attorney about it and he said since I was never "convicted" or arrest there is most likely not going to be any record. So I don't really feel like explaining anything that I don't have to.