To prepare the ingredients, chop the scallions. In a bowl, crack the eggs and whisk until smooth. In a small bowl, mix cornstarch and water to make a slurry.
To heat the soup, in a pot over high heat, bring the chicken stock to a simmer and season with salt. Add the crab meat and cook for about 1 minute until heated through.
To thicken the soup, stir in the cornstarch slurry and bring the soup to a full boil.
To add the eggs, reduce heat to medium so the soup is gently simmering. Slowly drizzle the beaten eggs into the soup in a circular motion. Gently stir to form soft egg ribbons.
To finish the soup, add the scallions, sesame oil, and white pepper. Stir gently and serve hot.