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1
For the eggs, place a cooling rack or steamer insert (I used my tamis) in the bottom of a large pot or deep baking pan, fill with hot water, insert a fry thermometer, and place on stove over medium heat. Bring temperature to 140 to 145 ? degrees, then turn the heat to the lowest setting possible and add eggs (still in their shells). They must stay on the rack and not touch the bottom of the pan. Maintain the temperature within this range, checking frequently and adjusting the flame as needed, and cook the eggs for 40-45 minutes. We were lucky, our combination of using a large Le Creuset dutch oven, the tamis, and the lowest possible flame on the range kept the temperature just over 140 ? with very little babysitting. Test an egg after 40 minutes by cracking into a small bowl, if the white is cooked, the egg is done. If not, try another in 5 minutes. When the eggs are done, use immediately, or let sit on the counter to cool slightly while you pull the rest of the dish together.
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2
While the eggs are poaching, place a large skillet over medium heat, and cook the guanciale in a fine slick of olive oil until nicely browned, but before it has rendered all of its fat, you want it to be crispy-chewy. Remove it from the pan with a slotted spoon and reserve. Pour off any excess fat in the pan, then set it aside to use later. Put a medium sized sauce pan over medium heat and toss in 2 tablespoons of the butter and the minced shallot, cook until soft and translucent. Add the garlic, rosemary and pimenton, and stir for about 2-3 minutes. Whisk in the cream and bring to a gentle boil, reduce the heat to low, then whisk in the balance of the butter in chunks until it is fully integrated. Pour the grated cheese in slowly, whisking all the while until it is fully melted and the mix is smooth. Mix with an immersion blender until silky smooth, then season to taste with salt and black pepper, remove from heat, cover and reserve.
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3
Cook the pasta in a large pot of boiling, salted water per the manufacturers instructions for an al-dente texture. When done, drain well (reserving a cup of cooking water to thin your sauce later in needed), and pour the pasta into the large skillet in which you cooked the guanciale. Add the cream sauce and guanciale and place over a low-medium heat to warm through, tossing to mix well. Season to taste with more salt and pepper if desired.
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4
To plate, spoon the pasta mix into a heated bowl, break a poached egg in the center, top with parmesan shavings, minced parsley and freshly ground black pepper. Just before eating, encourage all to stir the egg into the pasta until it melts completely.
