The inquiry concerns the religious and historical importance of Virupaksha, the tutelary deity of the Vijayanagara Kingdom. To ascertain Virupaksha's recognized form, examination of historical records and religious traditions is necessary.
Virupaksha is primarily identified with Shiva. Within Hinduism, Shiva is a supreme deity, part of the Trimurti trinity with Vishnu and Brahma. Shiva is frequently venerated as a lingam and represents the destroyer or transformer aspect of the Trimurti.
Within the Vijayanagara Empire, the Virupaksha Temple in Hampi, Karnataka, served as a significant religious edifice dedicated to Lord Shiva. The temple's cultural and architectural significance to the empire reinforces Virupaksha's association with Shiva.
Therefore, the definitive identification is Shiva.