Tsugumomo

Kazuya Kagami is an ordinary school boy who has one slightly odd habit: he carries around the obi of a kimono that belonged to his late mother. This wouldn't be a big deal, until the obi reveals itself to be a tsukumogami—an object that, after a great length of time, has attained consciousness! With a ghost in the silk now demanding his servitude, more supernatural trouble doesn't seem far behind. (Source: Crunchyroll)