Jim Lahey's No-Knead Pizza Dough

Ingredients

• 500 grams (about 3 3/4 unsifted cups) all-purpose flour, plus more for shaping the dough
• 1/4 teaspoon active dry yeast
• 2 teaspoons fine sea salt
• 1 1/2 cups water
• 1 28-ounce can best quality peeled italian tomatoes (or fresh, peeled roma tomatoes, if they're in season)
• 2 tablespoons extra-virgin olive oil
• 1 teaspoon fine sea salt
• 2 pounds fresh mozzarella cheese, torn into large chunks
• 20 fresh basil leaves, or to taste
• 3/4 cup finely grated parmigiano-reggiano cheese