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According to the Guinness Book of World Records, as cited by Wikipedia's list of oldest known documents:
... the oldest surviving love poem, a balbale, in the world is of Sumerian origin and written in cuneiform, discovered in Nippur, dated to 2031 BCE, called Istanbul #2461 by archaeologists. ...
Bridegroom, dear to my heart,
Goodly is your beauty, honeysweet,
Lion, dear to my heart,
Goodly is your beauty, honeysweet.