Chang'an (180 BC) — the same event in Book of Han and Records of the Grand Historian

Book of Han: Grand Commandant Zhou Bo entered the Northern Army and ordered: whoever sides with the Lü bare the right arm, whoever sides with the Liu…

What each source says

Book of Han (Hanshu), Imperial Annals · 180 BC · 長安

Grand Commandant Zhou Bo entered the Northern Army and ordered: whoever sides with the Lü bare the right arm, whoever sides with the Liu bare the left; all the troops bared their left arms.

為呂氏右袒,為劉氏左袒。」軍皆左袒
Location: 漢書卷003 高后八年八月

Records of the Grand Historian (Shiji), Annals · 180 BC · 長安(北軍)

Zhou Bo entered the Northern Army and ordered: those who support the Lü clan bare the right sleeve, those who support the Liu clan bare the left. All bared the left, taking control of the Northern Army; then the Marquis of Zhuxu killed Lü Chan in the Weiyang Palace.

太尉將之入軍門,行令軍中曰:「為呂氏右袒,為劉氏左袒。
Location: 史記卷009 呂太后本紀

Place: 長安

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