Place the chickpeas, tahini, 3 tablespoons olive oil, lemon juice, garlic clove, and salt in a food processor. Blend until the mixture is smooth and creamy.
Spoon the hummus into a shallow serving dish and smooth the top with the back of a spoon.
Preheat the oven to 375 degrees. Cut each pita bread into tombstone shapes using a knife.
Brush both sides of the pita shapes with the remaining 2 tablespoons olive oil and sprinkle lightly with smoked paprika.
Arrange the pita pieces on a baking sheet in a single layer. Bake for 8 to 10 minutes until crisp and lightly browned.
Let the pita chips cool for a few minutes, then stand several pieces upright in the hummus to create the graveyard effect.