I couldn’t find 00 flour, so I used cake flour and thought it worked great. Search for 00 flour substitutes online and you’ll find a very opinionated crowd. If you have a food scale, use it. Just as for baking, accuracy here is important.
In a separate bowl, combine 1 cup warm water, yeast and olive oil. Pour in to flour mixture and use your fingers to knead mixture until well combined. Cover and let rest 15 minutes. Refrigerate.
About 1 1/2 hours before you’re ready to eat, place a pizza stone into the oven. Heat to 500° and let the pizza stone preheat for an hour.
When the pizza stone has been heating for 15 minutes, remove the dough from the refrigerator and let it sit at room temperature for 30-45 minutes.
Meanwhile, combine diced tomato, garlic cloves and crushed red pepper in a blender. Blend until smooth. Season to taste with salt and freshly ground black pepper.
To make pizza, place a dough round on a floured work surface. Gently use your fingers to stretch it, then pass the round back and forth between the palms of your hands to to stretch and shape it into a 12-inch round.
Top round with 1/2 of pizza sauce, spread evenly leaving 1/2 inch of bare dough at the edges. Sprinkle half of the mozzarella, pepperoni, and olives evenly over the top.
To transfer round to pizza stone, use a floured pizza peel or floured cutting board.
Transfer pizza to pizza stone and bake 6 to 7 minutes until center is bubbly and edges are lightly brown.
Transfer pizza from oven to cutting board. Cut and serve.
Repeat with second dough round.
Notes
Please note that total time does not include dough rising time.
The second dough round will keep up to 3 days in the refrigerator. Remove from refrigerator 30-45 minutes at room temperature before shaping.