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1
Cut the rack of spare ribs between the bones into single ribs (or ask your butcher to do this for you).
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2
Season the rib pieces with salt and pepper.
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3
Heat the olive oil in a large, heavy braising pan over medium heat.
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4
Add as many of the ribs as will fit without touching.
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5
Cook, turning occasionally, until browned on all sides, about 10 minutes.
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6
Remove the ribs and drain on a baking sheet lined with paper towels.
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7
Repeat with the remaining ribs.
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8
Adjust the temperature throughout the browning so the fat in the pan is sizzling but the pieces of pork that stick to the pan dont burn.
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9
Pour off all but about 4 tablespoons of fat from the casserole.
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10
Add the onions, garlic, and cherry peppers and cook, stirring, until the onions are wilted and caramelized, about 4 minutes.
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11
Stir in the tomatoes, bay leaves, and thyme.
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12
Bring to a boil, scraping the pan to loosen the brown bits stuck to the bottom.
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13
Tuck the spare ribs into the tomato sauce, season lightly with salt and pepper, and bring to a boil.
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14
Adjust the heat to simmering and cook, turning the spare ribs in the sauce occasionally, until the ribs are fork-tender, about 2 hours.
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15
Ladle some of the hot water into the casserole from time to time as necessary to keep the ribs covered with liquid.
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16
When the ribs are almost tender, heat 6 quarts of salted water to a boil in an 8-quart pot.
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17
Stir the rigatoni into the boiling water.
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18
Return to a boil, stirring frequently.
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19
Cook the pasta, semi-covered, stirring occasionally, until done, about 10 minutes.
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20
Drain the pasta, return it to the pot, and spoon in enough of the spare-rib sauce to coat the pasta generously.
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21
Toss in the parsley and bring the sauce and pasta to a boil, tossing to coat the pasta with sauce.
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22
Check the seasoning, adding salt and pepper if necessary.
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23
Remove the pot from the heat and stir in 2/3 cup grated cheese.
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24
Transfer the pasta to a warm platter or individual plates and top with the spare ribs.
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25
Spoon a little of the remaining sauce over the pasta and serve immediately, passing additional sauce and, if you like, grated cheese separately.