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1
Trim the rabbit pieces of any fat, rinse them well, and pat dry.
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2
Using the food processor, mince the onion, celery, carrot, garlic, and basil for 15-20 seconds, to a paste (this is pestata).
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3
Season the rabbit pieces all over with 1/2 teaspoon salt.
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4
Pour the olive oil into the saucepan, and set over medium heat.
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5
Lay all the meat in the pan, and let the pieces caramelize gradually, turning them every couple of minutes, until lightly browned on all sides, 6-8 minutes.
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6
Scrape in the pestata, and stir it around the pan, tumbling the rabbit pieces over to coat them with the paste.
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7
Sprinkle in the red pepper flakes and keep stirring, scraping up the browned bits on the pan bottom and sides, as the pestata steams and sizzles.
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8
When the pestata is dry and starting to stick to the pan, pour in 2 cups or so of hot stock, almost to cover the meat.
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9
Sprinkle in 1/2 teaspoon of salt.
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10
Bring the liquid to a boil, adjust the heat to keep it perking gently, and cook partially covered, occasionally turning the rabbit pieces and stirring up the seasonings.
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11
As the liquid reduces, stir in another cup of hot stock every 20 minutes or so.
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12
Cook 1 1/2 hours or more, until the rabbit meat is quite tender; then turn off the heat, cover the pan, and let the sugo cool completely.
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13
Remove the rabbit pieces from the braising juices, and pull all the meat off the bones.
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14
Discard the bones and cartilage; shred the meat in bite-sized morsels, and stir it back in the juices.
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15
Add more stock so the sauce has a flowing consistency, heat to a simmer, and cook for another 15 minutes or longer, until the meat is moist and melded with the sauce.
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16
Season to taste with salt and freshly ground black pepper.
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17
While the sauce is hot, toss in pappardelle.
