See separate recipe for making the pizza dough. NOTE: There are TWO pizza dough recipes on this site. One for a wood-fired oven and one for a conventional oven. If you are baking this on a pizza stone in a conventional oven, then pre-bake the pizza dough, after it has been shaped, for two to three minutes.
Add the San Marzano tomatoes and juices to a blender with fine sea salt. Pulse several times until the tomatoes break up and form a purée.
Form the dough into a 12" round pizza (see pizza dough recipe). Brush the prepared pizza dough a good olive oil making sure to cover the crust. Spread a scant ¼ of the sauce on top of the olive oil to within ¾" of the edge. Sprinkle the Parmesan or Pecorino Romano on top of the sauce. Spread the mozzarella cheese on top. Liberally apply the mushrooms on top of the cheese.
Bake for 90 seconds or so in a 900 degree wood-fired pizza oven, turning every 20 seconds (a bit longer on a pizza stone in a convention oven). Remove when the cheese has melted and the crust is golden brown. Let the pizza rest a few minutes to setup.