Ahhh so you are questioning whether the Bible is the Word of God because there isn’t a published date for the original documents. Of which there are multiple copies/sources of every word of the modern bible minus about 2 sentences.
Many of which reside in the Vatican.
So you’re saying then, “I don’t know”.
Thank you.
For your edification - the Vulgate published in 400 AD by Pope Damasus was the first canon with all the books.