The POI is defined as a "method of resuming play due to an official's accidental whistle, an interrupted game, as in 5-4-3, a correctable error, as in 2-10-6, a double personal, double technical, or simultaneous foul, as in 4-19-8 and 4-19-10," per 4-36.
So rwest, a statment that would read, "The AP is the POI when...(correct critera for using the arrow)," if you replaced POI with the definition of POI, it would read, "The AP is the method of resuming play due to...(rest of definition)."
Is that more black and white for you?