Rinse and drain the peas. Peel onions and garlic. Dice onions, chop garlic.
Sauté onions and garlic in 2 tbsp. hot oil. Add peas and cumin. Add 1 1/4 l water and cream, bring to the boil and stir in the stock. Season with paprika and pepper. Simmer covered for about 15 minutes.
Mash the peas in the broth with a hand blender. Season to taste with salt and pepper. Let the soup cool down and let it cool down well for at least 6 hours, preferably overnight.
Roast sesame seeds in a pan without fat, remove. Wash herbs, shake dry. Pluck off the leaves and cut into strips. Dice tomatoes finely. Mix with sesame and herbs.
Cut the ham slices into thirds and fry them crisply in 2 tablespoons of hot oil. Drain on kitchen paper. Stir the cold soup well again. Serve with tomato and herb mixture and ham chips. If necessary, arrange on ice cubes.