Diameter down
It’s one thing dodging a few chips on the way home; no one notices a few missing.
A missing piece of pizza is harder to hide. I have learned, however, that you can close the circle if it’s just one piece.
You get a smaller pizza and then just blame it on vendor greed…

Hmmm. I suspect that is predicated on a certain naïveté on the part of the pizza recipients.
Or, more likely, inebriation….