Place a large pot of lightly salted water (no more than 1 tablespoon salt) over high heat, and bring to a boil. Fill a large bowl with hot water for serving, and set aside.

In a mixing bowl, whisk together the eggs, yolks and pecorino and Parmesan. Season with a pinch of salt and generous black pepper.

Set the water to boil. Meanwhile, heat oil in a large skillet over medium heat, add the pork, and sauté until the fat just renders, on the edge of crispness but not hard. Remove from heat and set aside.

Add pasta to the water and boil until a bit firmer than al dente. Just before pasta is ready, reheat guanciale in skillet, if needed. Reserve 1 cup of pasta water, then drain pasta and add to the skillet over low heat. Stir for a minute or so.

Empty serving bowl of hot water. Dry it and add hot pasta mixture. Stir in cheese mixture, adding some reserved pasta water if needed for creaminess. Serve immediately, dressing it with a bit of additional grated pecorino and pepper.

In a large pot or Dutch oven, combine 5½ cups of warm water with the miso, oil and salt. Whisk to mostly dissolve the miso into the water.

Place the pot over medium-high heat, stir in the pasta, and bring to a boil, stirring occasionally. Reduce the heat to maintain a brisk simmer and continue to cook, stirring often, especially as the liquid level reduces. Cook until the pasta is tender and much of the liquid has been absorbed and what is left is thick and glossy with starch, about 20 to 22 minutes total.

Turn off the heat and stir in the mascarpone. The sauce should be creamy, and may be a little soupy at first, but it will continue to thicken as it sits. If it thickens too much for your taste, add enough hot water to loosen the sauce to the desired consistency. Season generously with black pepper and serve.