You are basically right. The real acceptance of the proof comes when it's accepted to a journal after review. However, in some sense spreading a proof needs to

You are basically right. The real acceptance of the proof comes when it's accepted to a journal after review. However, in some sense spreading a proof needs to be done in math - then the community reviews and decides if it is valid. We can't ignore the timing here though: this is a publicity piece for GPT 5.6!