Is “Baili Xi fled to the state of Chu, and Duke Mu of Qin, learning of his worth, ransomed him with five black ram skins and appointed him as a senior minister.” true?

The Records of the Grand Historian, 'Annals of Qin', clearly records: 'Duke Mu heard that Baili Xi was worthy... then sent a messenger to say to Chu: 'My attendant Baili Xi is here, please allow me to ransom him with five black ram skins.' The people of Chu then agreed and gave him up.' The matter of the 'Five-Ram-Skin Minister' is indeed historical fact.