In boiling salted water, begin cooking the spaghetti. Simultaneously, heat up the extra-virgin olive oil on medium-high heat in a large saute pan. Add the crushed red pepper and shaved garlic and slowly saute. Just when the edges of the garlic become lightly browned, remove the pan from the heat and add a large ladle (approximately 8 ounces) of the pasta cooking water to the saute pan. Put it back on the heat but do not increase the flame.