Rub pork with paprika, cumin, salt and pepper. Place in a 4-quart slow cooker with broth and vinegar, cover and cook on low for 7 to 8 hours until the meat shreds easily.
Shred the pork and drain it thoroughly. Skim the cooking juices and mix only 2 to 3 tablespoons back into the meat; reserve the rest for another use.
Heat the oven to 350°F. Split the connected Hawaiian rolls horizontally and place the bottom slab in a parchment-lined 9-by-13-inch pan.
Layer half the pepper Jack, the drained pork and remaining cheese over the bread. Replace the tops and brush with butter mixed with brown sugar.
Cover with foil and bake for 15 minutes, then uncover for 8 to 10 minutes until the center reaches 165°F. Rest for 5 minutes and cut into 12 generously filled sliders.