Place the pizza stone in a gas oven on a rack about 8 inches from the broiler. Preheat the oven on bake at 500°F (260°C) for 30 minutes. Switch to broil for 10 minutes. If using an electric oven, see the FAQ section above for instructions.
If using fresh tomatoes, bring 4 quarts water to a boil in a 5- to 6-quart pot. Cut away the dry stem area of the tomatoes, leaving the core intact. Place 2 or 3 tomatoes at a time in the boiling water for 5 to 10 seconds. Remove with a slotted spoon and put on a rack to cool. Peel the tomatoes with a paring knife. If using canned tomatoes, go directly to step 3. If you have a food mill, cut each tomato into several wedges and run them through the food mill set over a medium bowl to create a chunky pulp (not a fine purée; you want to retain some texture). If you don’t have a food mill, just squish the tomatoes with your hands—it’s messy but sorta fun. Stir the olive oil and salt into the tomatoes. (The tomato sauce will keep, covered, in the refrigerator for up to 1 week. This is a good thing seeing as you'll have enough tomato sauce to sling about 8 pizzas.)
With the dough on the peel, spoon about 1/4 to 1/2 cup tomato sauce over the surface and spread it evenly, leaving the outer inch or so of the dough untouched. Sprinkle the pie with the oregano and garlic, if using, and a pinch salt and drizzle the pie with oil to your heart's content.
Using quick, jerking motions, slide the pie from the peel onto the hot, hot, hot pizza stone. Broil for about 3 minutes if you have a gas oven, somewhat longer if you have an electric oven. The ingredients should be bubbling and the crust nicely charred but not burnt.
Using the peel, slide the pizza onto a platter before slicing it into wedges. Serve immediately.