I do know their names. However I'm not in the field and there are many cases in recent years of high-profile scientists putting their weight behind highly dubious claims. Thanks for the advice, by the way.
Note that I'm not disputing the validity of the counterexample itself.
I don't have enough information about the announcement for it to mean much to me. I don't know much about this field of maths. I don't know how many mathematicians were actively working on this problem. It could be zero, which would indicate it's not really that interesting. The article gushes about how it's a Very Important Problem, but it's not even mentioned on https://en.wikipedia.org/wiki/List_of_conjectures_by_Paul_Er.... I'm sure the busy folk at openAI will fix that soon however. Furthermore the extensive dishonesty of companies like openAI makes me suspicious of just how this was achieved. Overall the announcement is of little interest to my "priors", although I don't typically think in such terms.
Are you actually making that article, or just "quoting" it as some kind of hypothetical? Regardless, without mentioning heat capacity, I don't see any point to your quotation in this context.