Place the stock in a sauce pot and warm it over medium heat then reduce to simmer.
Heat the extra-virgin olive oil and the butter in a large, deep skillet over medium to medium-high heat. Add the pancetta to brown slightly. Next add the garlic and spaghetti and toast the noodles lightly, 3 to 4 minutes. Add onions and carrots, bay and thyme and season with salt and pepper. Soften veggies a bit, 5 minutes. Add wine and allow it to be completely absorbed. Add beans then add a few ladles of stock and stir the pasta. Keep adding stock a few ladles at a time allowing liquids to be mostly absorbed before adding more, as if you were preparing a risotto. When liquids are absorbed and spaghetti is cooked to al dente, 12-15 minutes, stir in cheese. Adjust salt and pepper. Turn off heat and stir another minute. Remove the bay and thyme stems. Serve in shallow bowls and garnish with lots of parsley.
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