In the bowl of an electric mixer, combine flour, salt, yeast, olive oil, buttermilk, and poolish.
Knead until smooth and pliable, 10-12 minutes.
Place dough in a covered container.
Allow to rise for 1 hour.
While dough is proofing, line 2 sheet pans with parchment paper and spray with cooking spray. Set aside.
Turn dough out on lightly floured surface.
Divide into 12 pieces.
Round each piece and place on prepared parchment.
Cover and refrigerate for 1 hour.
While dough is retarding, place baking stone inside oven and heat to 550 degrees.
Press dough, one round at a time, with your hands to flatten it. You can also pick it up and stretch it gently with your hands.
Place dough on hot stone and allow to bake until puffed and starting to brown, about 3-5 minutes.