Probably there isn't anyone who wasn't an author who can vouch for it yet, but this is a different situation. These guys have been working toward this problem f

Probably there isn't anyone who wasn't an author who can vouch for it yet, but this is a different situation. These guys have been working toward this problem for a long time in much closer touch with the mathematical community, with partial results that people can vouch for. This contrasts with the situation with the abc conjecture, which was done in almost complete isolation from the mathematical community with as far as I know no intermediate results.