Question

What historical proofs exist for the early life of Jesus?

Answer 1

Historical proofs of the early life of Jesus are non-existent.

Explanation:

While there are sufficient historical documents to support the existence of Jesus (this has not always been accepted); nothing exists (or has been found to date) that proves anything about his early life (outside reports in the New Testament gospels which were written many years later and based on verbal reports).

This is not particularly unusual. You are not likely to find historical proof of the early years of anyone during this period and location.

Various hypotheses are possible based on parallels in his teaching to traditions elsewhere, our knowledge of history, and the social setting in which he (likely) grew up. However, none of these can be regarded as "proofs".