Prepare the dressing: Whisk the vinegar into the olive oil in a small bowl. Add the sugar, salt, and pepper, and mix well. Set aside.
Heat 1 to 2 tablespoons of the oil in a large, heavy skillet over medium-high heat. Add the eggplant, in batches, and fry until it is cooked, browned, and slightly crisp, about 5 minutes per side. Continue cooking the eggplant, adding more oil as needed. Drain on ink-free paper towels and squeeze dry. Coarsely chop the drained eggplant, and transfer it to a bowl. Add salt to taste.
Whisk the dressing, pour about 6 tablespoons of it over the eggplant, or to taste, and stir.
To assemble the dish, spread the hummus evenly on a large, flat decorative platter. Top with the chopped eggplant, spreading it to within about 1 inch of the edge of the hummus. Sprinkle with the cilantro and toasted pine nuts. Serve with pita chips for scooping.