THIN-CRUST PIZZA WITH ROASTED VEGETABLES AND RICOTTA

Steps:

• Make the dough. Toward the end of the rising time, preheat the oven to 500˚ F (use the convection setting, if available) with a pizza stone, baking steel or inverted large baking sheet in the lower third of the oven.
• Line a rimmed baking sheet with foil; put the bell pepper halves on one side and the mushrooms on the other side. Drizzle with 2 tablespoons olive oil; rub all over the peppers and toss the mushrooms to coat. Arrange the peppers cut-side down and roast, turning the peppers and stirring the mushrooms occasionally, until the peppers are tender and browned and the mushrooms are tender and dry, 15 to 20 minutes; season with salt and pepper.
• Meanwhile, heat the remaining 2 tablespoons olive oil in a medium nonstick skillet over medium heat. Add the onions, 1 teaspoon salt and a few grinds of pepper. Cook, stirring, until tender and lightly browned, 15 to 20 minutes (reduce the heat if the onions start to get too dark). Stir in 1/4 cup water, the tomato paste and sugar. Cook, stirring frequently, until the tomato paste is toasted and a few shades darker, about 10 minutes. Remove from the heat and stir in the vinegar; season with salt, pepper and more sugar, if needed. (The sauce should be slightly sweet and tangy.) Let cool.
• Remove the roasted peppers to a cutting board and chop; transfer to a large bowl and stir in the mushrooms, artichoke hearts and a pinch each of salt and pepper.
• On a lightly floured surface, cut one 1-pound ball of dough in half. Cup your hand around each piece and gently roll each into a small ball. Transfer 1 ball of dough to a lightly floured piece of parchment paper and roll into a thin 12-inch round with a rolling pin (keep the other ball of dough covered).
• Top the dough with half of the sauce, spreading it to the edge, then top with half of the roasted vegetable mixture and 2 tablespoons Parmesan.
• Transfer the pizza (on the parchment) to the hot stone and bake until the crust is set, 3 to 5 minutes. Slide out the parchment from under the pizza. Continue baking until the crust is golden brown and crisp, 7 to 10 more minutes. Remove the pizza to a cutting board and dot with half of the ricotta. Drizzle with olive oil, season with salt and top with basil. Repeat to make another pizza.
• Sprinkle the yeast over the hot water in a small bowl. Let stand until dissolved and slightly foamy, 5 to 10 minutes.
• Meanwhile, whisk the bread flour, all-purpose flour, sugar and salt in a large bowl and make a well in the center. Pour the yeast mixture into the well and add the olive oil. Stir with a wooden spoon until a shaggy dough forms.
• Turn the dough out onto a lightly floured surface, dust the dough with flour and knead, dusting with more flour as needed, until very smooth and elastic but still slightly tacky, 3 to 5 minutes.
• Transfer the dough to an oiled bowl, turning to coat. Cover with plastic wrap and let rise in a warm place until doubled in size, about 1 1/2 hours. Divide the dough into two 1-pound balls. (If making sheet-pan pizza, let the dough rise, covered, on an 11-by-17-inch rimmed baking sheet coated with 3 tablespoons olive oil instead of in a bowl; do not divide into two balls.)
• If not using the dough right away, wrap in plastic and refrigerate for up to 2 days or freeze for up to 3 months. Bring to room temperature before using.