Place a dry skillet over medium heat. Add the cumin seeds and walnuts and toast for 2 to 3 minutes, stirring frequently, until fragrant and golden brown.
In a food processor, combine the toasted cumin and walnuts, Aleppo pepper flakes, breadcrumbs, roasted red peppers, pepper paste (or tomato paste), garlic, olive oil, sumac, pomegranate molasses, lemon juice, brown sugar, and salt.
Blend for about 90 seconds until the mixture is mostly smooth, with just a little texture. Scrape down the sides as needed to ensure even blending.
Taste and adjust seasoning if needed. Transfer to a serving bowl. Garnish with a drizzle of olive oil, a light dusting of paprika, flat leaf parsley leaves, cilantro leaves, and pomegranate seeds. Serve with pita chips.