Looks to me like a .36 caliber 61 navy “sheriff” model with a shorter barrel and fluted cylinder. They may call it whatever they want. They might call it a pocket police or something else inaccurate. Typical naming convention at that company is to call any cut down barrel a “sheriff” model.
Pietta doesn’t make an actual pocket police to my knowledge. Uberti does, though. Remember the pocket police is a 5-shot .36 with a stepped-up cylinder, built on the 1849 pocket model sized frame.