The Truth About Love arrived in 2012 as the sound of a marriage trying to survive itself. Pink and Carey Hart had split and reconciled, and the record turns that whiplash into pop: songs that swing from middle-finger party anthems to ballads that sit right at the edge of a breakup without ever quite going over. It was her first US number one album, built with a deep bench of writers and producers, and it produced one of the biggest singles of her career.

That single is the gentle one. “Just Give Me a Reason,” a duet with Nate Ruess of fun., became Pink’s fourth US number one, a song so radio-ready it had already charted on digital sales alone before anyone decided to release it. It sounds like the most natural thing in the world: two voices, a piano, a couple pleading across a table at three in the morning.

Almost none of that is quite what it seems. How the duet came to be, what the argument was actually about, and who was really in the room when it was built are all stranger than the song lets on. Press into that one.