Pour the wine into a large saucepan set over medium heat. When the wine is hot, carefully set it aflame. Let the flames die out, then increase the heat so that the wine boils; allow it to boil until it cooks down by half. Remove from the heat.
Center a rack in the oven and preheat to 350°F.
Warm the oil in a large, heavy, ovenproof pot over medium-high heat.
Season the ribs all over with salt and the crushed pepper. Dredge the ribs with about 1/2 cup flour. Then, when the oil is hot, slip the ribs into the pot and sear 4 to 5 minutes on each side, until well-browned. Transfer the ribs to a plate. Repeat with remaining ribs.
Remove all but 2 tablespoons of the fat from the pot, lower the heat under the pot to medium and toss in the vegetables and herbs. Brown the vegetables lightly, 5 to 7 minutes, then stir in the tomato paste and cook for 1 minute.
Add the wine, ribs and broth to the pot. Bring to a boil, cover tightly and place in the oven to braise for 2 1/2 hours or until the ribs are tender.
Cool and chill the ribs and broth in the pan overnight; scrape off the fat the next day.
Carefully transfer the meat to a platter.
Boil the pan liquid until it has reduced to 1 quart. Season with salt and white pepper and pass through a fine strainer; discard the solids.
The ribs and sauce can be combined and kept covered in the refrigerator for 2 to 3 days. Reheat gently, basting frequently, on top of the stove or in a 350°F oven.
To serve, spoon the celery root puree into the center of 8 plates and top each with a short rib.