noun which may take the genitive case particle 'no'
guaranteed; authentic; certified
Literally 'with a folded paper certificate'; used to describe something whose quality, authenticity, or reliability is assured, often in a figurative sense.
この店のラーメンは折り紙付きの美味しさだ。
The ramen at this shop is of guaranteed deliciousness.
彼の技術は折り紙付きで、誰もが認めている。
His skill is certified, and everyone acknowledges it.