In a mixing bowl, combine the chopped ginger, chopped garlic, dark brown sugar, soy sauce, Sriracha sauce, cayenne pepper (reserve some for later), water, and tomato paste. Whisk together until smooth and well combined.
Rinse the chicken wings under cold water and pat them dry with paper towels. This step is crucial to achieving crispy skin once they’re done cooking.
Place the chicken wings in the Crock Pot and pour the sauce over them. Use tongs to toss the wings gently, ensuring they are evenly coated with the sauce.
Cover the Crock Pot with its lid and cook on low for 6 to 7 hours or on high for 3 to 4 hours. The longer you cook, the more tender and flavorful the wings will become.
Once the cooking time is up, carefully transfer the wings to a serving platter. If you desire a sticky glaze, pour the remaining sauce into a saucepan and simmer on medium heat until it thickens slightly. Drizzle it over the wings and sprinkle with sesame seeds if using.