So you must first tell what is the actual name of this religion, and its not "Hinduism" the origin of teh word Hindu is in Persian language. The persian dictionary define "Hindu" as "Thief", Also Buddhism is a Nastik Darshan (Atheist philosophy). Hinduism whose actual name is Brahman Dharm is Theistic philosophy worshipping gods etc. Also no evidence exist that Brahman dharm ever existed at the time of Buddhists, At best it was created after 11th century, which is why none of the chinese, korean, or greek travellers to India ever mentioned the existence of "Hindu" , "Brahman" or Hindu religion. All of them mentioned Buddhists and Jains. Only Al'biruni in 11th. century first mentions something called "Brahman" but even he translated the Buddhist texts, but did not get have any access to Hindu literature because the Brahman priests he met said they have not written it yet.
> So you must first tell what is the actual name of this religion
Names are not that important. But since you asked it's called Sanatan Dharma. It's also called Hindu Dharma.
> The persian dictionary define "Hindu" as "Thief",
References from pre Islamic Persia please. Don't give the usual Sindu to Hindu explanation. If Persians don't have a S sound then why salaam didn't became halaam? What about Persia itself? Why not Perhia? Word Hindu is a thoroughly Sanskrit word. It define the region from Himalaya (हिमालय) to the Indian Ocean(इंदु सरोवर).
> Brahman priests he met said they have not written it yet.
Vedic tradition is called श्रुति (heard). It's transmitted for thousands of years through the oral method. I have replied you else where on the importance of oral method in Vedic tradition. So what exactly is your fascination with writing down? Writing down makes it authoritative? Then respond to the clear defence of birth based caste and discrimination against women in Buddhism. Refute this please.