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 the pasta aside.
02 -
In a large skillet over medium heat, melt 2 tablespoons butter. Add sliced cabbage, garlic, and salt, then cook, stirring occasionally, until cabbage is tender and deep golden, about 10 minutes.
03 -
Add remaining 1 tablespoon butter, thyme, and ground black pepper. Sauté for 30 seconds, allowing the aromatics to bloom. Pour in sherry vinegar and stir until most liquid evaporates, about 30 seconds.
04 -
Add cooked spaghetti to the skillet with the reserved cooking water, 30 grams Parmesan, and cream. Toss and cook, stirring constantly, until the sauce thickens and coats the pasta, about 1 minute.
05 -
Divide among serving bowls, topping each portion with remaining Parmesan and extra thyme leaves as desired.