How would you handle this sitch?

[Kansas Ref]

A4 and B4 are competing to secure control of a rebound in the first quarter.
The ball goes OOB and from your vantage point it appeared as though it was last touched by A4, so you give the ball team B. But just as you are setting things back up for resumption of play, player B4 tells you "hey mister referee, to be honest sir, the ball was out off of me." Player A4 says nothing.
Would you ignore the "new information" transmitted by B4 and proceed as you first called it--giving the ball to team B? Or would you reverse your call, respect the honesty of B4, and give the ball to team A?
For the record in our game, we stuck with the original OOB call and gave the ball to team B.