Add the flour, yeast and salt to the large bowl of a mixer and combine well.
Start adding in the cold water and keep mixing using the paddle attachment until everything is combined well.
Switch to the dough hook and knead on medium - low speed for 10 minutes until a smooth dough has formed. It should stick a little to the bottom of the bowl but not the sides. Sprinkle a bit more flour if it seems too sticky. (Sometimes you will need more flour sometimes less, just learn to feel it as you go).
Sprinkle some flour on a kitchen counter or cutting board and dump the dough on top. Use a sharp knife and cut it into 6 or 8 pieces.
Lightly oil your hands with a drop of olive oil and shape each piece into round balls. Place them on a lightly oiled cookie sheet at least 4 inches apart from each other. Loosely cover with plastic wrap and allow to rise for 2 hours at room temperature. ( Alternatively you can individually wrap each one and refrigerate or freeze for later.)
Meanwhile preheat a pizza stone with your oven for at least one hour at 500”F or as high as your oven will go.
Sprinkle some flour on a board or the kitchen counter and place a piece of dough on top. Sprinkle some more flour on top and using the palm of your hand press down on it until a thin round forms, about 1/2 inch thick. Stretch it out as thin as possible without tearing it and transfer it to a floured pizza peel or a piece of cardboard.
Spoon a couple of tablespoons of sauce in the middle and spread it evenly with the back of the spoon leaving about 1/2 inch border. Add your favorite vegan cheese on top and transfer the pie carefully to the preheated stone in the oven. ( Remember to also sprinkle some flour or cornmeal on top of the pizza stone before transferring your pizza).
Bake for 5 to 8 minutes to your liking.