Throw-In ends, huh

[RushmoreRef]

Sorry if this a thread that has been brought before but.....

I posted this under the "new rule" thread already but didn't know if anyone was looking there or not.

So if the kick violation doesn't complete a legal throw-in and therefore the arrow doesn't change can someone tell me what to do with the following....

A1 has alternating possession throw in and throws the ball toward A2. Ball is thrown too high and without a legal touch by a player bounces off the court inbounds and proceeds to go out of bounds.

I know that team B now gets the ball from team A's throw in spot because the ball went OOB but my question is...

Does the AP arrow change or does team A still have it since the thrown in never ended with a legal touch?

Rules citation please, this has been bugging me since last night and I've been riding the fence ever since. I can't find it anywhere....it was a coach that asked the questions and I hate when I can't quote the rule and where to find it for him.

Thank you.