Short answer: generally, a Jain would not call themselves Hindu. Jainism is a distinct Dharma with its own Tirthankaras, scriptures, and path (right faith, right knowledge, right conduct). Most Jains identify specifically as Jain, not Hindu.

A few nuances:

• Cultural overlap: Jains live in the same cultural milieu as Hindus in India and share many customs, languages, and festivals. That doesn’t make Jainism and Hinduism the same.
• Heritage vs. identity: Some people in India may describe themselves in broader ethnic or cultural terms (e.g., “Indian”) or participate in common regional traditions. But within Jain practice and community life, the label Jain is used to reflect the separate spiritual path.
• Digambar and Śvētāmbara views: Both traditions regard Jainism as a distinct Dharma. They differ in many practices and texts, but neither typically identifies as Hindu.
• Respectful wording: If you are explaining your own faith, you can say “I am Jain,” or, in some social contexts, “I am a Jain follower,” rather than “I am Hindu.”

If you’d like, I can share a brief, authentic Jain description of what it means to be Jain (from traditional texts) in simple terms.