To make the verdita base add the pineapple juice, cilantro and jalapeño to a blender jar and blend until smooth. Strain into a small pitcher or large measuring cup. This is enough base to make a 5 to 6 cocktails.
To make a single cocktail, measure 2 ounces of the verdita base into a shaker filled with ice. Add the mezcal, lime juice and simple syrup. Shake for 10 seconds, then strain into a glass and add fresh ice.