Usotoki Rhetoric Volume 1 (manga)
It is 1926, the first year of the Showa era. Urabe Kanoko has left her hometown after it turns against her for having the ability to hear lies when spoken. She collapses from hunger after arriving in a town called Tsukumoya, where she meets a poverty-stricken detective named Iwai Souma. Is this fate? Or something more?