Ithax

"Ithax" (also known as "Photograph") is Billy Corgan song that debuted publicly at the Together and Together Again charity event on July 27, 2022, which benefits victims of the July 4 Highland Park parade shooting. The song had also been performed one day earlier to a private show for first-responders and emergency personnel.

Background
Some time after the Highland Park parade shooting, Corgan was working on a new Smashing Pumpkins song with some workable riffs and melodies, followed by nap. After awakening, and he said "the song was spinning in my head.

In his own words, Corgan explains the song: So in the opening scene, I'm explaining to somebody that I found a photograph of us standing in the very spot where this horrible thing happened. It's as simple as that. Something so simple like a photo taken on a beautiful day, right over here [points] by the ice cream shop where we go sometimes for fancy sorbet. Suddenly when we look at the photograph it has meaning, "Oh my god, we were in that spot!" That's what something like this does, it turns everything upside down. Good things become bad, bad things become good. Simple things become complicated. Complicated things suddenly have no meaning. Certainly no resonance. And then it shifts into a dream. Sometimes I have these dreams where it's as real as it is I'm sitting here with you. I don't know why I have these dreams, but I feel like I'm on another planet having these dreams with unfamiliar people. So it shifts to the dream. Suddenly, right over there at the square [points outside], hearkening back to our origins here in Highland Park. I see a young woman dancing by herself. She's obviously dancing in my dream for those we've lost. My reaction is to try to explain to her, or ask her for something, which is interesting because she's mourning the dead and the wounded. Why do I need something from her? I think we all have that reaction sometimes, right? I wonder what this has done to all of us. You could say it's selfish, you could say it's focused. And that's what the rest of the song is about.

It's unclear from the event whether the new song is ultimately intended for Smashing Pumpkins, or if it's a new Corgan project.