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The current world is that of Vaivasvata, the seventh Manu of the aeon of the white boar (sveta varaha kalpa). Vaivasvata, also known as Sraddhadeva or Satyavrata, was the king of Dravida before the great flood. He was warned of the flood by the Matsya avatar of Vishnu, and built a boat that carried his family and the seven sages to safety. The earliest extant text that mentions this story is the Satapatha Brahmana (dated variously from 700 BCE to 300 BCE). The myth is repeated with variations in other texts, including the Mahabharata and the various Puranas. It is similar to other flood myths such as that of Gilgamesh and Noah.
Most texts agree on the names of the first 9 manus, but there is some disagreement on the names of the subsequent Manus.
The lifespan of a Manu is called manvantara. According to the Bhagavad Gita, the lifespan of one Manu is 71 Mahayugas (306,720,000 years), and each Mahayuga is 4,320,000 years. (Bhagavad Gita 8.17) The present Manu has already lived for 28 Mahayugas, which is 120,960,000 years." (Srimad Bhagavatam 4.30.49).
The texts ascribed to the Svayambhuva Manu include Manava Grihyasutra, Manava Sulbasutra and Manava Dharmashastra (Manusmriti or "rules of Manu"). Manusmriti is considered by some Hindus to be the law laid down for Hindus and is seen as the most important and earliest metrical work of the Dharmaśāstra textual tradition of Hinduism. At the same time it is a Smriti, so whenever there is a conflict between what is mentioned in it and that mentioned in sruti (Vedas and Upanishads) the latter is considered to be correct as it holds higher spiritual authority.