Place the whole potatoes in a saucepan with water to cover. Bring to a boil and cook at a low boil until they are soft, about 45 minutes. While still warm, peel the potatoes and pass them through a vegetable mill onto a clean pasta board.

Bring about 6 quarts to a boil. Set up an ice bath with 6 cups ice water and 6 cups water nearby.

Make a well in the center of the potatoes and sprinkle all over with the flour. Break the egg into the center of the well, add the salt, and, using a fork, stir into the flour and potatoes as if you were making pasta. Once the egg is mixed in, bring the dough together, kneading gently until a ball is formed. Knead gently another 4 minutes, until ball is dry to the touch.

Divide the dough into 2 large balls. Roll each ball into 3/4 inch-diameter ropes and cut the ropes into 1-inch-long pieces. Flick the pieces off of a fork or along the concave side of a cheese grater to score the sides. Drop the dough pieces into the boiling water and cook until they float to the surface, about 1 minute. Use a slotted spoon to transfer the gnocchi to the ice bath. Meanwhile, continue with the remaining dough, forming ropes, cutting 1-inch pieces, and flicking them off a fork. Continue until all the gnocchi have been cooked and allow them to sit several minutes in the ice bath.

Drain the gnocchi and transfer to a mixing bowl. Toss with the canola oil and store covered in the refrigerator for up to 48 hours or until ready to serve.

In a 12 to 14-inch skillet, heat the olive oil over high heat until almost smoking. Add the pancetta, porcini, garlic, onion, celery, carrot, parsley and the sausage meat and cook over high heat until sausage and vegetables are browned. Add the red wine, let it evaporate, then add the tomatoes and the pepper flakes. Adjust the seasoning with salt and pepper and lower heat to a simmer. Let cook for 45 minutes.

Meanwhile, bring 6 quarts of water to a boil and add 2 tablespoons salt.

Once the sauce is thickened to the proper consistency, remove the gnocchi from their container and cook in the boiling water until they float aggressively. Drain the gnocchi and add to the simmering sauce. Toss very gently over heat 30 seconds to coat, then divide evenly among 4 warmed pasta bowls. Top with freshly grated pecorino and serve.