Rinka Urushiba works part-time as a waitress to support her unemployed father. On the surface, her life in Tokyo seems relatively ordinary, but her perception of normality starts to unravel when she inexplicably spots a flying penguin one day. Pursuing it to the roof of a building, she encounters further anomalies, including flying goldfish and another individual—a classmate named Kyoutarou Azuma—who can also perceive these bizarre phenomena. After Rinka faints when a goldfish passes through her, she awakens as an esper with the ability to phase her body through solid objects. However, her new power is not the only oddity: her hair turns white whenever she uses her abilities. Reluctantly deciding to employ this gift to aid the city, she becomes Tokyo's new hero, known as the "White Girl." Together with Kyoutarou, who has acquired teleportation powers, Rinka sets out to correct injustices in the city while battling other espers driven by far less noble motives.