The most well-known version of the First Council is that of Mahākāśyapa being the head. However, texts of the Sarvāstivāda, Mūlasarvāstivāda, and Mahīśāsaka traditions relate that this was Ājñāta Kauṇḍinya () instead, as Kauṇḍinya was the most senior disciple. Buddhologist Jean Przyluski (1885–1944) argued that the earliest accounts placed Kauṇḍinya at the head of the "saṃgha", and that originally, Mahākāśyapa was a conventional figure, with no administrative or leading role. However, because of his unquestioned ascetic saint-like reputation, Mahākāśyapa came to replace Kauṇḍinya's role as leader during the cremation and the First Council. Przyluski's theory has been criticized, however, on the grounds that it is difficult to maintain that the three textual traditions he mentioned are the oldest. Still, Bareau argued that the incident with Subhadra leading to Mahākāśyapa summoning the council is a later insertion, though early enough to be found in all traditions of early Buddhist texts. He believed it was the authors of texts of monastic discipline that inserted it shortly after the Buddha's passing away, at the end of the fifth century BCE, to glorify Mahākāśyapa.