名留青史 is a variant of the more standard
名垂青史 (míngchuíqīngshǐ). The image traces back to Du Fu's Tang poem 《
赠郑十八贲》: '
古人日以远,
青史字不泯' ('the ancients recede day by day, but their names on the green-bamboo histories never fade').
青史 'green history' = old bamboo-strip chronicles.