Ingredients

2 1/2 pounds flanken-style short ribs, cut 1/2 inch thick

4 garlic cloves, minced

3 scallions, white and pale-green parts only, very finely chopped

1/4 cup packed dark-brown sugar

2 tablespoons granulated sugar

Pinch of coarse salt

1/4 cup fresh lime juice, (2 to 3 limes)

1/2 cup soy sauce

1/3 cup mirin (Japanese sweet rice wine)

2 tablespoons toasted sesame oil

3 tablespoons sesame seeds, toasted

1 teaspoon Asian chili sauce or 1/2 teaspoon crushed red-pepper flakes (optional)

1 pound Taiwan bok choy or napa cabbage, cut into 1/2-inch strips (8 cups)

1 bunch scallions, white and pale-green parts only, cut into 1/2-inch pieces

3 garlic cloves, halved lengthwise

2 small dried hot red chiles or a pinch of crushed red-pepper flakes (optional)

2 teaspoons toasted sesame oil

1 piece peeled fresh ginger (about 1 inch), cut into thin matchsticks

1/4 cup rice-wine vinegar (not seasoned)

1/4 cup mirin (Japanese sweet rice wine)

1 teaspoon coarse salt

Vegetable oil, for brushing

Preparation

Cut each short rib crosswise into 3 pieces, cutting between the bones. Soak ribs in a large bowl of ice-water for at least 20 minutes, or up to 2 hours.

Make marinade: Stir together marinade ingredients in a medium bowl until sugar is dissolved. Drain ribs; pat dry. Put ribs and marinade in a 9-by-13-inch glass baking dish; turn each rib to coat. Cover, and refrigerate overnight.

Make pickled greens: Put greens and scallions in a medium bowl, and set aside. Cook garlic and chiles in sesame oil in a small saucepan over medium heat until garlic is pale golden, 2 to 3 minutes. Add ginger, and cook, stirring, until fragrant, about 2 minutes.

Remove from heat; stir in vinegar, mirin, and the salt. Immediately pour contents of pan over greens, and toss to coat. Let cool to room temperature. Cover with plastic wrap; refrigerate overnight.

Preheat broiler, with the rack about 6 inches from heat source. Line a rimmed baking sheet with foil, and very lightly brush with vegetable oil. Lift ribs from marinade, and arrange in a single layer on sheet (discard marinade).

Broil ribs (checking often) until well browned on top, about 5 minutes. Turn; continue to cook until well browned on other side, about 4 minutes more. Serve with chilled pickled greens.