A reported demonstration shows GPT-5.5 reproducing a claimed solution to the Erdős unit distance problem with a diagram titled “Impressive Reasoning Abilities of LLMs” that flags prompter assistance
Researchers note GPT-5.5 Pro matches results via parallel strategies and extra test-time compute.
this is a clear demonstration of:

it still shows impressive abilities, but diff one than those advertised for the "internal model"
this is a clear demonstration of:
@littmath it might get distracted. and it requires scaffolding, which the current model supposedly did without. and it should know when to continue. these are all failure points in my experience. (also, "combine 1, 2, 5" is kinda big imo)
@yoavgo I think I broadly disagree; I think the hints are minimal enough that I would expect 5.5 Pro to get there with good scaffolding and lots of test-time compute, just by trying the strategies it listed in parallel.
@yoavgo Very clever Hans of these models!
this is a clear demonstration of:
At first it felt like Perelman emerging from years of seclusion with a proof to the Poincaré conjecture. But the fact that we didn't need a model to do 125 pages of thinking somehow made the achievement seem a lot less impressive to me.
Pretty interesting -- ChatGPT 5.5 Pro, with pretty minimal human guidance (and apparently without web search), also finds the counterexample to unit distance.