When I got to the store I parked my bike right near the front entrance and went in to get the part. When I came out some guy had his hand on my bike. When he noticed me looking right at him, he took his hand off the bike, turned around, and walked away.

Ok, now I don't know for sure that he was trying to steal my bike. He might have just absentmindedly put his hand there.
I am still waiting on my CHL so I was unarmed, and I wouldn't have drawn anyway since I was never in any danger, but it did get me to thinking. What is the law about carrying without a permit on a bike? Is it similar to automobiles, if the bike has a basket on it could you carry a weapon there legally?