You are right to distinguish Jain Dharma from Hindu “śok/āśauch/sūtak” ideas.

Pure Jain view (both Digambar and Śvetāmbara traditions):

• Birth or death does not create ritual impurity (sūtak/āśauch) for the soul. Jain Dharma focuses on inner purity (control of kashāyas) rather than external “pollution.”
• Loud mourning (śok), hair-cutting, fasting “for the dead,” or display of grief are discouraged. The right conduct is samata (equanimity), remembrance of the soul’s journey, and prayer.
• What truly defiles is attachment, aversion, and himsā—not a birth or a death occurrence.
• Householders may keep practices simple: Navkār mantra jaap, pratikraman, svādhyāy, and dān/jīvadayā in memory of the departed. No elaborate fire rituals or Vedic rites are prescribed in Jain scriptures.

Community customs:

• Some Jain families avoid temple/pujā for a few days after a death or birth. These are local/social customs (vyavahār), not scriptural mandates. They must never override the essence of Jain Dharma: equanimity, non‑violence, and inner purity.

Scriptural spirit:

• Texts like Tattvārtha Sūtra and Śrāvakācāra literature emphasize samyaktva (right faith), restraint, and cessation of passions at times of gain or loss—there is no doctrine of ritual “pollution” from birth/death.
• Monastics and serious śrāvakas are advised to avoid lamentation and to strengthen sādhanā, seeing birth and death as natural modifications under karma.

For a simple, Jain-centric outline of post‑death conduct without Vedic “agni sanskār” rites, see: