01 -
Bring a large pot of water to a boil. Add spaghetti and cook until al dente following package instructions. Reserve 120 milliliters of pasta cooking water, then drain and set aside.
02 -
In a large skillet over medium heat, melt 2 tablespoons butter. Add sliced cabbage, garlic, and salt, cooking, stirring occasionally, until cabbage is tender and deep golden, about 10 minutes.
03 -
Add remaining 1 tablespoon butter, chopped thyme, and ground black pepper to the skillet. Sauté for 30 seconds to release aromas. Stir in sherry vinegar and cook until most liquid evaporates, about 30 seconds.
04 -
Add cooked spaghetti to skillet along with reserved pasta water, 30 grams Parmesan, and heavy cream. Toss continuously and cook until sauce thickens and evenly coats pasta, about 1 minute.
05 -
Divide pasta among bowls. Top each portion with remaining Parmesan and garnish with additional thyme leaves as desired.