Trim fat from around beef. Slice against the grain as thinly as possible. Marinate beef with black pepper, cornstarch, soy sauce, Shao Hsing cooking wine, and 1 teaspoon sesame oil for 10 minutes.
Place wok on the stove over medium high. When hot, add vegetable oil. Fry ginger for about 1 minute. Add garlic and fry for another 30 seconds.
Add marinated beef by spreading it out in the pan. Fry for 3 minutes.
Add salt and scallions. Stir fry for 20 seconds. Turn off stove. Drizzle remaining teaspoon sesame oil over beef and scallions.
Remove and serve immediately with steamed rice.