Serve these homemade pitas, warm from the oven, with baba ghanoush or garlicky hummus.
Pour water into the bowl of an electric mixer. Sprinkle yeast over water, and stir to dissolve. Use the paddle attachment to mix in 1 1/2 cups flour. Cover bowl; let sit in a warm place for about 1 1/2 hours, until dough has doubled in bulk.
Sprinkle salt over flour and yeast mixture, and add olive oil and remaining 1 1/2 cups flour. Mix on medium-low speed until dough is smooth and elastic, about 5 minutes.
Transfer dough to a floured work surface, and knead about 10 turns, forming a ball. Place in a lightly oiled bowl, and cover with plastic wrap. Let rise in a warm place until dough has doubled in bulk, about 1 1/4 hours.
Heat oven to 450 degrees. Turn dough out onto a board, and cut in half. Cut each half into four pieces, and form each piece into a ball. Cover them loosely with a piece of plastic wrap to keep the dough from drying out. On a floured work surface, roll two balls into circles 7 inches in diameter and slightly less than 1/4 inch thick. Bake on an ungreased baking sheet until puffed and light brown, 6 to 8 minutes. Repeat, baking two pita breads at a time.