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Weigh your flour; or measure it by gently spooning it into a cup, then sweeping off any excess. Mix and knead together all of the dough ingredients — by hand, mixer or bread machine set on the dough cycle — to make a soft, smooth dough.
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Place the dough in a lightly greased bowl, cover the bowl, and allow the dough to rise until it's very puffy, about 60 minutes.
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Divide the dough in half, and shape each half into a 14" oval on a piece of parchment. If the dough fights back, cover and let it rest for 10 minutes, then resume shaping.
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Allow the dough to rise, covered, until it's noticeably puffy, about 60 to 90 minutes.
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Place a pizza stone in the center of your oven, and preheat the oven to 450°F. Or place the crusts with their parchment on baking sheets.
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Use a peel to transfer the dough, parchment and all, to the pizza stone. Or place the pans in the oven. If you're using a stone, you'll probably have to bake the crusts one at a time.
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Bake the crusts until they begin to brown around the edges, about 8 minutes. Remove them from the oven, and top with the grated Parmesan, prosciutto, and shallot.
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Return the pizzas to the oven, and bake for another 10 minutes, until their crust is nicely browned, both top and bottom, and the cheese is melted.
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Remove the pizzas from the oven and top with a handful of the seasoned arugula, and shaved Parmesan.