Seeing as SS has taken a lot of inspiration from Japanese Shinto, Buddhism and Onmyodo type traditions, I would say Ghirahim is a sword tsukumogami. (A sword that has turned into a demon (yokai).) Probably owned by Demise. ( Anyone notice he looks a lot like Akuma from Street Fighter?) There are many other references to the above traditions as well such as the sealing spike, the moves you use to seal the spike, magatamas, purifying miko in the waterfall etc...
While it doesn't exactly fit I would say Fi play a role like a shikigami.