It is sometimes erroneously called Samiddheshvara (IAST: Sammidheśvara), but multiple historical records establish that Samadhishvara (also known as Samadhisha) is the correct name of the temple's deity.

According to the 1273 CE Chirawa inscription, Madana, an official who bore the designation talaraksha, used to worship Shiva at the Tri-bhuvana Narayana temple constructed by Bhoja in Chittor.

[5] Ram Vallabh Somani, a scholar who wrote on history of Mewar under the patronage of the descendants of the Sisodia royal family, disputes Ojha's identification.

Based on a 984 CE (1041 VS) pillar inscription, Somani concludes that the Samadhishvara temple pre-dates Bhoja, and was built in the 10th century.

Somani has not made available the original inscription or its full text, citing "administrative reasons", which Nath dismisses as a flimsy excuse.

[9] Nath explains this discrepancy by theorizing that the original idol of the temple was destroyed during the Khalji conquest, and was later restored by the 15th century king Mokala-simha.

[11] Based on this, and the fact that Kumarapala patronized Jainism, art historian M. A. Dhaky theorized that the Samadhishvara temple was originally a Jain shrine.

[3] R. Nath disputes this theory, pointing out that the inscription clearly states that Kumarapala worshipped Shiva and Parvati during his visit to the temple.

He points out that other motifs at the temple depict women in erotic postures, battles, and hunting: these are not inline with the non-violence and celibacy themes of the Jain monasticism.

[3] As mentioned above, according to a 1274 CE stone slab inscription, the area around the temple was restored by the Guhila king Samarasimha (also known as Rawal Samar Singh).

[1] A 1428 CE black marble slab inscription discovered at the temple records its restoration by king Mokala-simha (also known as Rana Mokal Singh).