They were well witnessed according to the people who wrote the stories down long after Jesus allegedly died, at least 40 years or more. There is no corroboration, and the writers were arguably biased. Keith, this fails your much-vaunted historicity test on several counts: too many years had passed, the writers are dead and there is no corroboration. On top of that, we are talking about highly unlikely acts of magic. Well, Keith, it's good to know that even you can suspend disbelief...