Its origin goes back even further than that though. The YouTube video notes in some text that accompanies the video, which quotes Lennon talking about the song back when it was released, “Side Two starts with 'Give Me Some Truth' which is one I started a year or two back - probably in India. We wrote a lot there. It was an old lick that I had around a long time but I again changed the lyrics. I like the track because it sounds good but it didn’t get much attention, so it’s a personal track that I like the sound of.”
He then continues, talking about the themes of the song, “It’s about politicians, newspaper men and all the hypocrites of the world. And male chauvinists, it’s about them too. I think that music reflects the state that the society is in. There is nothing to hide. Not really. I mean, we all like to shit in private and we certainly have things we prefer to do in private, privately. But in general what is there to hide? I mean, what is the big secret?”
The “ultimate mix” of the song is part of the reissue of the Imagine album, which came out back in October. The boxset, called Imagine: The Ultimate Collection has unreleased outtakes and demos, a documentary which traces the evolution of each song, and 120-page ‘making of’ book.