Earlier quoted context omitted.
> As more evidence comes out I haven't seen evidence of Neumann's cheating, as is claimed in this comment. Only allegations, which do not look very strong to me.
There are two lines of evidence: first regarding his cheating online, which is easier to do and easier to check. Chess.com banned Hans and put out a statement saying that Hans cheated more often and more seriously than he claimed. [1] The second line of inquiry is statistical analyses of Hans's over-the-board games. See my original comment for one such analysis, but he really has been playing at an absurd level in so…
He had played at a way more serious events, and still the only 'evidence' of cheating is his relatively good performance. Until someone comes up with an explanation how he is able to cheat with games streamed with delay and after metal detector scanner, I suggest treating Carlsen's behavior as tantrums of a person who can't take a loss.
Also, whatever chess.com says about cheating online is irrelevant, as their methods are known to produce a lot of false positives. Additionally, since recently chess.com is in business relationship with Carlsen, so they can hardly be counted as an independent party in all of this.