Preheat the broiler. Split each pita pocket in half, forming 32 disks total. Place the disks, cut side up, on a baking sheet and brush with the olive oil. Place under the broiler and cook until golden and crisp, about 3 minutes. Let cool.
Top the pitas with the various spreads. Place an olive in the center of some of the pitas. Sprinkle lightly with paprika, if desired.