The proof is fairly short too: "Within the preprint, the proof itself is about a page and a half. Whenever there’s an announcement like this, ~99% of the time

The proof is fairly short too: "Within the preprint, the proof itself is about a page and a half. Whenever there’s an announcement like this, ~99% of the time either the proof is wrong, or at any rate it’s way too complicated for outsiders to evaluate it quickly. This is one of the remaining 1% of cases. I’m rather confident that the proof is right. Why? Because I read and understood it. It took me about half an hour. If you’re comfortable with concepts like induced subgraph and eigenvalue, you can do the same."