In a food processor or blender, blend together pistachios, basil, garlic, 1/4 cup olive oil, lemon zest and kosher salt until blended. Mixture should be somewhere in between coarse and smooth.
Thinly roll out pizza dough on a surface lightly dusted with flour into a 10-inch circle.
Remove pizza stone from oven and transfer dough to stone.
Evenly spoon pistachio mixture over dough, followed by ricotta.
Top with mozzarella slices followed by shallot and prosciutto.
Bake 12-14 minutes or until golden brown and bubbly.
Sprinkle arugula on top of pizza, followed by crushed red pepper, and a drizzle of the remaining 1 tablespoon olive oil; cut into slices and serve.