Brazilian Hot Dog

Name: Brazilian Hot Dog
Ingredients: 1 pound (about 450 g ) ground beef (I made mine with lean beef); Salt and ground black pepper to taste; A good pinch of cumin; 8 hot dog links (on each sausage, make a lengthwise cut that goes from one end to the other. The cut must be superficial, i.e., less than half of the thickness of the sausage) **; 2 tablespoons vegetable oil; 1 medium yellow or white onion, small diced; 1 green pepper, small diced; 3 cloves of garlic, minced; 2 tablespoons of tomato paste; 2 cups water or beef broth/stock; 1 teaspoon dried thyme; Juice of ½ lime; 8 loaves of French rolls or hot dog buns; Shredded mozzarella