Hot and Sour Soup with Crab

Name: Hot and Sour Soup with Crab
Ingredients: 1 ounce dried shiitake mushrooms; 6 cups chicken stock; 3 tablespoons peeled and finely julienned ginger; 1 teaspoon chopped garlic; 2 teaspoons Chinese chili paste with garlic; 1/4 cup rice wine vinegar; 1/4 cup soy sauce; 1 cup canned slivered bamboo shoots, drained; 1 tablespoon fresh lime juice; 2 teaspoons sugar; Kosher salt; 1 tablespoon plus 2 teaspoons cornstarch; 2 tablespoons cold water; 1 large egg, beaten; 4 ounces fresh cooked crabmeat; 1/4 cup green onions or scallions, white and green parts, cut on the bias into thin strips or julienned