Breitling Shark need verification

Hi there, first post here.

I am ready to buy a vintage Breitling Shark Chrono, but need to have a second opinion. The watch looks rhe real deal alltough no papers or box comes with it. It is a Shark Chrono automatic movement, ref A13051. Case number 2037.

Can anyone of you guys give feedback on this watch ?
I will upload the pictures immediatly.