The American Society of Mechanical Engineers known as ASME, is the association that edits and maintains control of the elevator code books for vertical transportation codes. The organization has been providing code for elevators since 1921. They release a new code year when the code is updated. The current code for ASME A17.1 2016 Safety Code for Elevator and Escalators can be found at ASME Website.
The local Authority Having Jurisdiction decides when they will adopt the code. It is common for the Authority Having Jurisdiction to have their own code which usually includes components of the ASME code. It can be a challenge to understand the code the elevator is under and then knowing exactly how it applies to a specific building location and to which equipment the code applies. If you want to know the code your building is under give the elevator consultants a call.