Puffy pita pockets with a wonderful chew and sourdough flavor. Watching them balloon in the oven is pure magic.

Combine the starter, warm water, olive oil, and sugar in a large bowl.
Add the flour and salt. Mix until a dough forms, then knead for 8-10 minutes until smooth and elastic.
Place in a greased bowl, cover, and let rise at room temperature for 4-6 hours until doubled.
Divide the dough into 8 equal pieces. Shape each into a ball.
On a lightly floured surface, roll each ball into a round about 6-7 inches in diameter and 1/4 inch thick. Keep the thickness even — this is the key to a good puff.
Let the rolled pitas rest on a floured surface for 15-20 minutes, covered with a towel.
Preheat oven to 500°F (260°C) with a baking stone or inverted baking sheet inside for at least 30 minutes.
Carefully slide 2-3 pitas onto the hot stone. Bake for 3-4 minutes — they should puff up like balloons within the first 2 minutes.
Remove with a spatula and immediately stack in a clean kitchen towel to keep them soft.
Repeat with remaining pitas.