When did China first record Diaoyu Island?

The earliest literature about Diaoyutai Island in China comes from Seeing the Wind in the first year of Yongle in Ming Dynasty (1403), calling the island "Diaoyu Island". Later documents and official maps also adopted the name of "Diaoyu Island", such as Ryukyu Annals written by Chen Kan, the 11th canonization ambassador in the 13th year of Jiajing in Ming Dynasty (1534), Charts Compilation compiled by Hu Zongxian, a magistrate of Zhejiang Province in the 41st year of Jiajing (1562), and the 32nd year of Qingganlong (/kloc-0). Taiwan Province Province still uses the name "Diaoyutai". Modern Chinese mainland calls the island "Diaoyu Island" and sometimes uses the name "Diaoyutai". The prose Six Chapters of a Floating Life by Shen Fu, a writer in Qing Dynasty, was lost in Qian Yong. Among them, there are fifty or sixty words concerning Diaoyu Island, the inherent territory of China. The time recorded in the book is A.D. 1842, decades earlier than Japan claimed to have discovered Diaoyu Island. Therefore, this manuscript is regarded as "the ironclad proof of the ownership of Diaoyu Island".