Which individual does not have the authority to request the presentation of a parachute rigger's certificate?

A certificated flight instructor does not possess the authority to request the presentation of a parachute rigger's certificate. This authority is generally reserved for regulatory figures or individuals who are involved in the safety oversight and enforcement of aviation regulations, such as the FAA Administrator or representatives from the National Transportation Safety Board, as well as law enforcement officers.

In scenarios concerning parachute operations, the overarching authority checks and ensures compliance with safety standards and regulations. Therefore, while a certificated flight instructor plays a vital role in training and instructing pilots, they do not have the regulatory authority to demand documentation from a rigger. The other options listed represent individuals or roles that hold the specific authority to verify credentials and ensure that safety protocols are being properly adhered to.