What can be established about Moinuddin Chishti's life before Ajmer from sources contemporary with him?

The narrative in circulation comes from Chishti biographical collections compiled in the fourteenth century and later, and from malfuzat attributed to the early masters, several of which specialists regard as fifteenth century compositions back-dated to their subjects. The birth date and birthplace, the itinerary and the account of his arrival in India all rest on that later material.