Wash the asparagus, cut off the woody ends. Cut the stalks in half lengthwise. Blanch the asparagus spears in boiling salted water for about 2 minutes. Drain and let drain. Drain the peppers and cut into strips. Wash parsley, shake dry and chop finely, except for a few leaves for garnishing
Mix cream cheese with paprika powder and chopped parsley. Season to taste with salt and pepper. Spread pumpernickel with cream cheese and cover with ham, asparagus and strips of paprika. Garnish with parsley leaves