Sabich Sandwiches (Pitas With Eggplant, Eggs, Hummus, And Tahini)

Name: Sabich Sandwiches (Pitas With Eggplant, Eggs, Hummus, And Tahini)
Prep time: 10 min
Cook time: 20 min
Total time: 30 min
Yield: 4 servings
Ingredients: 2 plum tomatoes (7 ounces; 200g), cored and diced; Kosher salt; Olive oil or vegetable oil, for frying; 3/4 pound Italian eggplant (about 1 medium eggplant; 350g), sliced into 1/2-inch-thick rounds; 1/2 large seedless cucumber (7 ounces; 200g), diced; 2 tablespoons (30ml) fresh juice from 1 lemon; 1 tablespoon minced flat-leaf parsley; 1/4 cored head cabbage (7 ounces; 200g), thinly shredded; 2 tablespoons (30ml) white wine vinegar; 4 fresh rounds pita bread, warmed and split just enough to form a pocket; 3/4 cup homemade or store-bought hummus (6 ounces; 170g); 1/2 cup (120ml) homemade or store-bought tahini sauce (note that tahini and tahini sauce are different products); 4 hard-boiled eggs , peeled and sliced; Israeli pickles, for serving; Amba sauce, for serving