One of the authors said in a reddit comment (and I hope I am summarizing accurately) that it's impossible to show a diagram as the smallest instance of the technique gives like 10^1000000 points.
That was for this particular technique, but the comment suggested that a similar construction can (but is unproven) to beat erdos and at least gives some flavor of what this looks like
https://x.com/i/status/2057490144546927046