The term for the record of an abstract strategy board game is literally "board game record" (棋譜 or a derivative) in most of East Asia.
In Japanese it is called kifu (棋譜), in Standard Chinese qípǔ (simplified Chinese: 棋谱; traditional Chinese: 棋譜), and in Korean gibo (hangul: 기보, hanja: 棋譜).
In go, board game records are traditionally used to record games on a grid diagram, marking the plays on the points and pieces.
Board game record databases can be useful to study board games.
Many AI algorithms review a large database of professional games.