At the risk of confusing y'all, this is what Little Luzzo's calls a "Campagna slice." It's a thin-crust square pizza that's sort of grandma-pizza-esque but not really. And it's nowhere near that other square-cut NYC staple, the Sicilian. This particular native-to-Luzzo's style is named for the city and municipality in southern Italy.
Anyway, who cares about all that, right? It comes down to this: This particular Campagna slice is good stuff. I have no idea what they call it, but you can't miss it there. It's got a crisp, not-at-all greasy crust topped with a heavy cream sauce, mozzarella, cherry tomatoes, and shaved Parmesan cheese. The sauce is none too heavy, the cherry tomatoes add a burst of sweetness, and the shaved Parmesan balances that with its tanginess and little crystals of salt.
I also sampled a regular slice there, and it was good, but my money ($3) is on this slice. It had more flavor and a bit more crunch than the regular. But, heck, grab one of each and make it a meal.
119 East 96th Street, New York NY 10128 (Park/Lexington; map)