The Shikigesha shrines which are listed on the Rikkokushi (Japan's six national histories) are specially referred to as Kokushigenzaisha (some Shikinaisha shrines are also included in this in a broad sense).
式外社であるが六国史にその名前が見られる神社のことを特に国史現在社（国史見在社とも）と呼ぶ（広義には式内社であるものも含む）。