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The fact that the "Kasayapāhuḍa Sutta Sangha" is mentioned ensures that they existed before the Arhadvali. Since the time of the Arhadvali is established as 565 BCE or 65 CE according to the Prakrit chronology, the time of Guṇadhara Ācārya is proven to be before them. It is natural for the tradition of Guṇadhara to take about a hundred years to gain fame, therefore, the author of the Paṭṭhaḍa Agama, Śrī Dharasena Ācārya, is proven to be about two hundred years before Śrī Guṇadhara Ācārya, the author of the Kasayapāhuḍa. Thus, their time is established as the first century BCE.
Ācārya Yativṛṣabha, in his Tiloayaparaṇatti, has mentioned the period of kings from the Nirvāṇa of Bhagavān Mahāvīra up to a thousand years. Therefore, it is possible that they existed before that. And the Śvetāmbara Ācārya Śrī Jinabhadra Gaṇikṣamāśramaṇa, the commentator of the Viśeṣāvaśyaka Bhāṣya, has mentioned the opinion of the Cūrṇikāra Yativṛṣabha regarding the Ādeśakapāya in his Viśeṣāvaśyaka Bhāṣya. And the composition of the Viśeṣāvaśyaka Bhāṣya is mentioned to have taken place in Śaka Samvat 531 (666 CE). Therefore, they cannot be scholars after 666 CE. ... Ācārya Yativṛṣabha existed before Pūjyapāda. The reason for this is that he has mentioned a particular opinion of his in his Sarvārthasiddhi:
"Atha vā yeṣāṁ mate sā sādan ekaindriyeṣu notpadyate tanmatāpekṣayā dvādaśa bhāgā na dattā."
That is, according to the opinion of those Ācāryas who believe that the Sāsadan Guṇasthāna Jīva is not born in the one-sensed, according to their opinion, twelve out of fourteen parts are not called the field of touch. ... Here it is to be noted that if a Sāsadan Guṇasthāna Jīva dies, then according to the rule, he is born in the Devas. This is the opinion of Ācārya Yativṛṣabha, as stated by Ācārya Nemicandra, the author of Labdhisāra-Kṣapaṇasāra, in clear words:
"Jadi maradi sāsaṇo so niraya-tirikṣaṁ naraṁ na gacchedi.
Niyamā devaṁ gacchadi jaivasahāmunindavaṇeṇaṁ." || 346 ||
Ādeśakapāya. Just as it is written in the Cittakarma, "Koho rūṣido tivalidaṇiḍālo bhuḍi kāuṇ'", this is the 59th sūtra of the first chapter called Pejjaḍosa Vihatti of the Kasayapāhuḍa. Its meaning is that a man who is angry, whose forehead is raised due to anger and who has three wrinkles on his forehead, is the Ādeśakapāya depicted in the picture. But the commentator of the Viśeṣāvaśyaka Bhāṣya says that even if the Antargama Kapāya does not arise, the Ādeśakapāya is the one who, in plays etc., assumes the guise of an angry man, showing artificial anger only for the sake of acting. Thus, explaining the nature of the Ādeśakapāya, the commentator mentions the nature described in the Kasayapāhuḍa in this way:
"Āeso kasāśro kaiyavakayabhuḍibhangurākāro.
Kei cittāigo ṭhavaṇāṇatyantaro so'ya." || 2681 ||
That is, many Ācāryas consider the form of the angry person depicted in pictures etc. to be the Ādeśakapāya, but this is not different from the Sthāpanakapāya, therefore, one should consider the guise of artificial anger in plays etc. to be the Ādeśakapāya.