Make the vegan Parmesan cheese: In a food processor, combine the cashews, nutritional yeast, garlic powder, salt, and pepper. Pulse until the texture is crumbly and resembles Parmesan cheese. Store in an airtight container for up to 1 month.
2. Step
Make the pesto: In a food processor, combine the basil, arugula, walnuts, garlic, lemon juice, salt, pepper, and olive oil. Process until smooth. Store in an airtight container for up to 1 week.
3. Step
Preheat the oven to 425°F (220°C).
4. Step
Use your hands to stretch the pizza dough into a circle about 14 inches (35 cm) in diameter and ½-inch (1 ¼ cm) thick. Lay on a sheet of parchment paper.
5. Step
Spread half of the pesto over the pizza dough in an even layer. Arrange the tomato slices on top. Transfer the pizza on the parchment to a baking sheet.
6. Step
Bake for 14-16 minutes, until the edges of the pizza are lightly golden. Let cool for 5 minutes.
7. Step
Drizzle more pesto over the pizza and and sprinkle with vegan Parmesan. Cut into 8 slices and serve.