In Jainism, the name “Terapanth / Terapanthi” is used in both Śvetāmbara and Digambara traditions, with somewhat different histories. I’ll explain both in simple points.

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1. Śvetāmbara Terapanth (founded by Āchārya Bhikshu)

This is the Terapanth most people mean today.

Main beliefs and features:

1. Non‑idol worship (no murtis, no temples)

- They do not keep or worship images of Tirthankars in temples. - Stress is on inner devotion, meditation, and right conduct, not on external rituals.

1. “Thirteen” principles

- Name Terapanth is linked with 13 main elements of conduct: - 5 Mahāvrat (great vows) - 5 Samiti (carefulnesses) - 3 Gupti (mental, verbal, bodily restraint) - Whole life of monk, nun, and lay follower is expected to revolve around these.

1. One Acharya – centralized leadership

- Very special feature: “Ek Āchārya, Ek Vachan, Ek Sampradāy” – one Acharya, one command, one sect. - All monks, nuns and lay people follow the single present Āchārya. - This keeps the sangh highly united and disciplined (Sangh–Maryādā).

1. Strong discipline (Maryādā)

- Detailed rules for: - daily routine, - travelling of sadhus–sādhvīs, - conduct with laypeople, - use of things, speech, etc. - Every year they have Maryādā Mahotsav, where code of conduct is reviewed and re‑accepted.

1. Reformist and scriptural focus

- Originated as a reform inside Sthānakvāsī tradition. - Emphasizes: - strict ahimsā, - simplicity and aparigraha (non‑possessiveness), - clear, uniform interpretation of Jain āgamas and later Jain literature.

1. Modern contributions

- From this tradition came: - Prekṣā Dhyān (systematic Jain meditation), - Anuvrat movement (small vows for laypeople, stressing ethics in daily life), - various educational and social initiatives. - But the base is always Jain sāmāyik, pratikraman, self‑restraint and inner purification.

You can read more about Terapanth and its discipline here and about Sangh‑Maryādā here

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2. Digambara Terapanth (13‑panth / Terapanthi Digambar)

In Digambar tradition also there is a Terapanth / 13‑panth, different from the above.

Main beliefs and features:

1. Reform within Digambar rituals

- Came as a group that rejected certain ritual additions they felt were against original scriptures.

1. Simplicity in worship

- Do not use flowers, fruits, cooked food, lamps, incense etc. in pūjā. - Want worship to be simple, pure and scripture‑based, avoiding what they see as unnecessary luxury or himsā.

1. Scriptural purity

- Give importance to: - Digambar āgama tradition and commentaries, - strict following of vows (vratas) and carefulness (samitis, guptis). - “Terapanth / 13‑panth” here also connects to emphasis on 13 core elements of conduct.

1. Contrast with Bisapanth Digambar

- Bisapanth use more ritual items like flowers, lamps etc. - Terapanth (13‑panth) criticizes this and prefers austerity and simplicity.

You can see a short note about Digambar Terapanth among Digambar sub‑sects here

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In summary

• Śvetāmbara Terapanth (Āchārya Bhikshu line):

- Non‑idol, no temples. - One central Āchārya. - Very strict discipline and unity. - Based on 13 principles (5 Mahāvrat, 5 Samiti, 3 Gupti). - Strong focus on inner spiritual practice and ethical life.

• Digambar Terapanth (13‑panth):

- Reformist within Digambar. - Simpler, more austere worship; avoids flowers, lamps, cooked offerings. - Stresses scriptural purity and 13 key elements of conduct.

Both share the basic Jain core: ahiṁsā, satya, asteya, brahmacharya, aparigraha, and the path of right faith, right knowledge, and right conduct leading to moksha.