Drain the artichoke hearts. If they are marinated in oil, you can omit draining the hearts and adjust the oil measure downwards appropriately.
Add the artichoke to the food processor with the nuts, cheese, and garlic and pulse until you have a paste. Add in the lemon juice and with the motor running, drizzle in the olive oil. Scrape down the sides of the processor as needed and pulse until you have a uniform paste-like consistency.
Taste and season with salt, pepper, oil, and lemon juice to taste.
Heat oven to 450°. Roll pizza dough out to desired shape, place onto parchment lined baking pan. Brush 1” of the edge of the pizza dough with olive oil, spoon on the artichoke dip to the remaining dough, top with tomatoes, goat cheese and bake for 12 – 15 minutes.