The purpose of the "residing at on " has two purposes.
This structure establishes identity via location and point in time. If the specified John Smith currently resides at , and a different John Smith resided there earlier, and a third John Smith may move there in the future, this specifies which of the three it is. It would be like recording traffic and someone said it was the silver Mercedes that went through a specific intersection. Which silver Mercedes would be better identified with the date and time.
Once that identity is established, it allows for changes in location. If John Smith now lives at a different address, he can still be identified as the person who lived at this address at the stated point in time.