Divide the risen dough into 12 pieces, roll into balls, and let rest for 10–15 minutes. Roll each ball into a ¼-inch thick circle on a floured surface to resemble a sourdough pita bread.
Let the sourdough pita bread rest for 30–45 minutes (optional) while preheating the oven to 250°C (500°F) with a baking stone or inverted baking sheet inside.
Bake the sourdough pita bread for 5–7 minutes until puffed and golden. Cool on a wire rack before serving.