For the dough: Place each ingredient into the bowl of a stand mixer in the order listed. Install the dough hook attachment and mix on low until the dough comes together, forming a ball and pulling away from the sides of the bowl. Increase the mixer speed to medium and knead for 5 minutes.
Lightly flour the countertops, then round the dough into a smooth ball by folding the edges of the round in toward the center several times and rolling between your hands on the counter. Lightly oil a bowl and place the dough in the bowl. Cover with plastic wrap and refrigerate for 18 to 24 hours.
"Punch down" the dough by turning it out onto a clean countertop and shaping it into a rough rectangle, using your knuckles to work out as many of the large gas bubbles as possible. Then tightly roll the dough into a log 12 to 15 inches long. Cut this into thirds. Shape each third into a disk, then shape the disks into smooth balls. You may want to moisten the counter with water to up the surface tension a bit so that the ball tightens up instead of sliding across the counter.
Cover each ball with a clean kitchen towel and set aside for 30 minutes at room temperature.
At this point, you can also transfer the dough to airtight plastic containers and refrigerate for up to 8 hours. Just make sure you bring the balls to room temperature 30 minutes before use.
Pizza time: Set a pizza stone on the lower rack of the oven (or the floor, if using a gas oven) and crank the heat as high as it will go, hopefully 550 degrees F. Give the oven and the stone a good 30 minutes to heat up.