“Origami” is well known overseas as a papercraft but with the same pronunciation, there were an official document, a catalog index and a certificate. They were also called “Origami” since a piece of paper was holded.
“Origami Tsuki” direct translation is an attached holded paper that is certified or guaranteed its product/art in Japanese idioms.
note: https://www.meihaku.jp/sword-basic/origami/
a swordsmith name
authenticity
size and its characteristics
price
date
signature of a person who certifies this sword