There are many Origami papers, but there is origami which can only be purchased in Kyoto!
Kyoto origami is depicted places of such as Fushimi-Inari Taisha Shrine, Togetsukyo. Also kyoto festival of Gion festival and Aoi festival, history and culture etc. in KYoto are drawn.
You can get a small present if you show the KoI application screen.
Kyoto origami can be purchased only at Suzuki Shofudo.
It is located just north of the Nishiki market.
Suzuki Shofudo HP
http://shofudo-shop.jp/
Suzuki Matsudo is a store using KoI service.
KoI Service is Android app for foreign tourists visiting Kyoto.
https://play.google.com/store/apps/details?id=kyoto.kyonaka_gozan.koiapp&hl=en