Padvi refers to the honorific titles given to Jain monks when they are conferred with certain leadership or teaching roles within the monastic order. The common Padvi you’ll hear about are:

• Gani Padvi: a designation for a learned monk (scholar).
• Upadhyaya Padvi: the title given to a monk who is ordained as a formal preceptor or teacher for others.
• Acharya Padvi: the highest leadership title for the head of a monastic line within a gaccha (sect).

There can be regional or gaccha-specific variations in how Padvi is used or recognized. Digambara and Śvetāmbara traditions may describe or emphasize different leadership roles, so the exact set and naming can differ between traditions and orders.

If you’d like, I can look for a JainKnowledge.com page that lists Padvi in more detail or give you a concise summary from a specific tradition.