Preheat oven to 325 F. Season rabbit with salt and pepper. In a large pot over medium heat, add oil followed by rabbit (everything but the wings) and sear until golden brown, 15 minutes. Delicately remove the rabbit when golden brown and set aside to rest.
To the pan, add onion, celery and carrots and cook 10 minutes. Add garlic, tomato paste, sage and rosemary and cook 5 minutes. Continue by adding tomatoes, vinegar, and verjus and cook 5 more minutes. Add rabbit wings and dashi and bring to a boil. Add remaining rabbit and season with salt. Cover with parchment paper (cartouche) and place in the oven for 1 hour and 10 minutes. Pull some rabbit meat off the bone along with braising liquid and place in a saucepan.
Add 1 cup cooked pasta and toss with rabbit, parsley, Parmesan and butter. Gently cook pasta until glazed with sauce and appears sheen. Serve with additional rabbit and Parmesan shavings.