1Heat 2 teaspoons vegetable oil in a large, heavy pot over high heat. Add beef shank slice; cook until seared and browned on both sides, about 3 minutes per side. Add water, onion, carrot, celery, 3 cloves peeled garlic, bay leaf, and black peppercorns; bring to a simmer. Reduce heat to low; simmer until beef shank meat falls off the bone and stock turns brown in color, 4 to 5 hours. Add more water if beef stock level gets below about 5 cups.
2Freeze short ribs until firm and very cold, about 15 minutes. Cut short rib meat into cubes; return to freezer until almost frozen, about 30 minutes more.
3Whisk cream, egg, parsley, and 2 cloves minced garlic in a bowl. Stir in bread crumbs and 1/4 cup Parmigiano-Reggiano cheese.
