What is the world record for cup-stacking 6 cup?

If you are referring to the 6 stack in which there are 3 cups on the bottom, 2 in the middle, and 1 on top, then there is no offical wssa (world sport stacking association) record for that as it is not an offical event. The offical events are 3-3-3, 3-6-3, cycle, doubles, and team. The current records can be found at worldsportstackingassociation.org