Vedanta Sampradaya. The ten Shankara-linked Advaita monastic orders are distributed as follows: Bharati, Puri and Saraswati at Sringeri, Aranya and Vana at Puri, Tirtha and Ashrama at Dwarka, and Giri, Parvata and Sagara at Badrinath. According to tradition, each math was first headed by one of his four main disciples, and the tradition continues since then. Yet, according to Paul Hacker, no mention of the mathas can be found before the 14th century CE. Until the 15th century, the timespan of the directors of Sringeri Math are unrealistically long, spanning 60+ and even 105 years. After 1386, the timespans become much shorter. According to Hacker, these mathas may have originated as late as the 14th century, to propagate Shankara's view of Advaita. According to another tradition in Kerala, after Sankara's samadhi at Vadakkunnathan Temple, his disciples founded four mathas in Thrissur, namely Naduvil Madhom, Thekke Madhom, Idayil Madhom and Vadakke Madhom. Other Advaita Vedanta mathas following Smarta Tradition include: Svarnavalli Matha at Swarnavalli near Sodhe, Sirsi, Karnataka Ramachandrapura Math at Haniya, Hosanagara, Karnataka Chitrapur Math, Shirali, Karnataka () Shri Gaudapadacharya Math, Kavale, Ponda, Goa Sri Samsthan Dabholi Math, Dabholi, Goa Ramakrishna Math and Ramakrishna Mission Bharat Sevashram Sangha Shaivism Shaiva mathas were established at least from the 1st millennium onwards, in Kashmir, Himalayan regions such as Nepal and throughout the subcontinent such as in Tamil Nadu. Many of the monasteries and attached temples, particularly in the northwest Indian subcontinent, were destroyed by Islamic armies after the 12th-century, and Shaiva monastic network severely disrupted from the consequent violence. In some cases, the Hindu monasteries were converted into Islamic ribats or madrasa (soldier barracks, schools) during the medieval period. The Shaiva monasteries have been from diverse schools of Shaivism, ranging from nondualist to theistic schools, and regionally went by a range of names such as Jogi (Yogis), Natha, Darshani, Kanphata of Gorakshanath sampradaya. Shaiva Siddhanta Shaiva Siddhanta is a theistic school of Shaivism based on dualism (human soul and God are different), and it established matha at least from the middle of 1st millennium CE. Archeological evidence dated to 724 CE suggests the existence of an influential Saiva Siddhanta matha named after Mattamayura. Other historical evidence suggests that these Shaiva monks were active in Shaiva theosophical scholarship and the spread of Shaiva ideas in north and west India till about the 12th century. Other major monasteries include the Golaki matha that existed