Put the garlic cloves and the salt into a food processor and process until chopped finely. Add a tablespoon of water, scrape down the sides of the processor, and run it again to almost produce a paste (you won't quite, but it will be close enough).
Drain all the liquid from chickpeas, and rinse them with fresh water. Add the chickpeas, the lemon juice, hot sauce, and olive oil to the food processor. Run until the mixture is smooth. Add 1/4 cup of water, and process for another minute or so.
Scoop the mixture into a bowl. Add the tahini and mix in with a whisk. Taste the mixture and add more tahini, hot sauce, or salt to taste.
Spoon the hummus onto a large platter, working the pile out towards the edges, leaving a rim at the edge like that of a pizza crust.
Pour a thin stream of the extra-virgin olive oil around the top of the hummus. Dust the top lightly with the paprika or sumac.