Process the garlic cloves in a food processor until finely minced, stopping the processor occasionally to scrape down the sides of the bowl. Add the beans and pulse the machine a few times to chop them coarsely. Next, with the machine running, puree them while you slowly pour the sesame paste through the feed tube. Still with the motor running, pour the olive oil, lemon juice, and soy sauce through the feed tube, stopping the processor occasionally to scrape down the sides of the bowl. Stop the processor, open the lid, and add the salt, cumin, coriander, and cayenne. Process until thoroughly blended. If the puree is too thick, mix in the 1/4 to 1/2 cup cold water. Transfer the puree to a bowl, cover, and refrigerate before serving.
Preheat the oven to 250ºF.
Put the pita breads in the oven and heat until thoroughly warmed, 6 to 8 minutes.
Carefully remove and cut into wedges. Serve with the chilled hummus.