Bring stock to a boil with saffron, bay leaf, and lemon peel. Cover and steep 5 minutes then turn off heat and remove bay leaf and peel.
Whisk eggs and yolks with lemon juice and hot sauce. Whisk in 1/2 cup of the soup to temper the eggs. Whisk the egg mixture into the soup then turn heat on low and whisk together until soup thickens slightly, 4 to 5 minutes. Stir in parsley and season with salt and pepper. Ladle soup into bowls and top with a few pita chips.