Beyond the Boundary (2013)

Akihito Kanbara, a sophomore in high school, is the protagonist of this dark fantasy. He looks like an ordinary human, but he's actually half Youmu and can recover from any injury almost instantly. One day, he spots a freshman named Mirai Kuriyama on the school rooftop, seemingly ready to jump. Mirai keeps to herself because her power to control blood is seen as taboo among spirit-world beings. After Akihito rescues her, a series of unsettling events begins to unfold.