Pigeons Count as Pets, Right?

We have somehow managed to keep three of our goldfish alive for about a year, and that's been challenging.  My kids would love to have more pets, but you know who would be caring for them.  I'm not ready to make that kind of time and financial commitment. 

Earlier this summer, we had a "pet" chipmunk.  He adopted our deck after we started eating dinner outside.  There were lots of leftovers beneath our patio table.  Every morning, he showed up for his breakfast on the deck as we were eating our breakfast indoors.  He was the perfect pet.  Then one day we found him belly-up in our tomato garden.  I have no idea what happened.

A couple of weeks ago, we found a new friend on our deck.

This pigeon is tame.  He flies up to the deck and walks right up to the kids.  He must belong to someone because he has numbered bands on his legs.  Maybe he just visits us on his outings.  The kids love feeding him.  He's very particular about his snacks.  He only likes bread and not the crusts.  We haven't given him a name yet, but we're open to suggestions.

The only problem is that he's going to be really difficult to bring to school for show and tell.