Absolute Belt Fragment

is a misc item sometimes rewarded for completing specific Hard Adventure Dungeons:
 * Labyrinthine Halls
 * Temple of Immortals
 * BeyondLink Tris
 * Shadow Altar (Chaos)
 * Moonlight Fortress (Chaos)
 * Ludibrium Clock Tower (Chaos)

16 Fragments and 500,000 Mesos can be used to craft the Absolute Belt.