hypothetical scenario

hypothetical scenario:

I got two really good, really similar job offers. They're like 6-7 digit salary, nice jobs, basically, everything I could ask for, and work that is easy and relaxing and fun, I set my own hours, etc.

The first one, the head of the company, the one giving me the job offer, sent me someone and gave that someone an explanation for me, and they want me to connect with the one giving me the job offer.

The second one, well I have some letters... I don't know who wrote them, but I do know that who wrote them couldn't have possibly have heard from the one giving me the job offer, and they don't claim to have heard from him. They just ask me to believe really hard, and I'll get the job.

which job do I take??