The levitation with ordinary diamagnets such as pyrolytic carbon requires an array of magnets to create a concave pocket in the field, otherwise the floating sample will "slide off" and fall. Monolithic magnets produce convex fields.
Some people elsewhere also commented that this could be a video of an ordinary high-temperature superconductor, but I doubt it. Such a tiny spec would warm up to room temperature very quickly. I've experimented with broken and shattered fragments of YBCO and it wasn't possible to make small pieces hover like this, they'd warm up too quickly. Also, they were always frosty looking. To make them look black you'd have to do it in a perfectly dry atmosphere, which is a non-trivial setup.