"Apparently, this sweet-and-sour condiment came to Washington D.C. via Chicago, where it somehow became a staple in Chinese take-out restaurants served as a condiment with fried chicken wings, among other things. This is my version."
Place tomato paste, ketchup, sugar in a saucepan. Pour in pineapple juice, white vinegar, lemon juice, and honey into the pan. Add soy sauce, grated ginger, and cayenne pepper. Whisk together thoroughly. Place pan over medium-high heat. As soon as mixture starts to bubble, reduce heat to medium-low and simmer, whisking occasionally, until mixture has thickened slightly, about 10 minutes.
Remove pan from heat; allow to cool about 10 minutes or so. Pour sauce through a fine strainer to eliminate solids.