Earlier quoted context omitted.
I'm wondering if they failed to check the date on the email of their tip-off. Extraordinary claims require extraordinary evidence. I might be mistaken but I believe Sundar Pichai isn't an american national, in which case he'll be working on a visa. And in the US work visas require a public declaration of salary (the published data has the names stripped but frankly at a $50m salary I imagine he'd be easy to spot). So…
He seems to have been here (in the US) long enough to be either a permanent resident or naturalized Citizen. So that wouldn't apply, unless someone knows otherwise for sure. Wrt Visa rules, I know you have to disclose salary information to the INS when applying for a work permit, don't think that's publicly available though.
Its not so much that you have to disclose the salary - you have to prove that you advertised the job publicly and within the company, and that you included the salary. You also have to prove that the salary is at least market rate and that no one else who has applied can perform the work.
(It's a pretty thick amount of paperwork to prove the requirements)
Also, the INS hasn't existed since 2003.