The phrase "hath name" means to be named or referred to. There are several synonyms that could be used in its place including called, labeled, designated, titled, identified, named, and known as. These words all convey the same idea of being identified by a particular name or title. For example, a famous musician might be known as "the king of rock and roll" or a popular landmark might be labeled as "the Great Wall of China." Using different synonyms for "hath name" can add variety and depth to your writing, making it more interesting to read.