It's the Patriots, but this time I think they're getting judged erroneously.
1: Define Truth
NFL.com Rules - and choose "Ball" from the dropdown.
Key phrase: "The Referee shall be the sole judge as to whether all balls offered for play comply with these specifications." The referee always agreed.. therefore, the Pats didn't cheat.
2: Everything Else is Gamesmanship
Everything else on the interwebs is someone's unchallenged interpretation of the linked rules. Granted, I hate the rules: they're a disgrace to measurement systems. But they're what the owners agreed on, and it's all we can measure the Pats against. And because the rules are written so inexactly, there's nothing that they can be accused of violating.
DId the Pats violate an unwritten rule? Probably! There's lots of things I don't know about football. But if it's not a written rule, violating it certainly isn't cheating.
Will the competition committee add more specifics to the rules this offseason? Probably. But until they do, we have what's at that link.
The Patriots are really only guilty of finding a loophole big enough for LeGarrette Blount to run through.