Do I have perfect pitch?

If I know a song, and someone asked me to sing the first note, or even the last note, I can sing it exactly on key. I used to do this in choir too. Before the teacher gave us the first note on the piano or pitch pipe, I would already know what the note was. And if I heard a song that was off key, I knew instantly. But i've never experimented with hearing a "B flat" or "C" on an instrument and naming it. Do I still have perfect pitch or am I dreaming?