In the commonly used lunisolar Jain/Panchang reckoning, June 3, 2026 falls on Krishna Paksha Tritiya — the 3rd lunar day of the waning moon. In some regional calculations, it is shown as Adhik Jyeshtha Krishna Tritiya. ( dekhopanchang.com)

So, the short answer is: Tritiya (Krishna Paksha). ( dekhopanchang.com)