1 lb. Pappardelle's Plain (No Egg) Spaghetti
1/2 cup extra-virgin olive oil, plus more for drizzling
2 Tbsp. garlic, finely chopped
1/4 cup capers, drained, rinsed & chopped
1 tsp. ground black pepper
6 large egg yolks, beaten
3 oz. grated Pecorino-Romano cheese, plus more for garnish
1/2 cup chives, thinly sliced
8 oz. fresh crabmeat (Jonah, Blue or Stone)
1 Tbsp. grated lemon zest plus 1 Tbsp. fresh lemon juice
Salt, to taste
Lemon wedges, for garnish