My company changed my labor code in a contract from supervisor to assistant supervisor. However, my boss stated I'm still a supervisor. If I apply to a different company and they call to verify employment, can I still list my job duties as a s

My company changed my labor code in a contract from supervisor to assistant supervisor. However, my boss stated I'm still a supervisor. If I apply to a different company and they call to verify employment, can I still list my job duties as a supervisor or do I need to list my title as an assistant supervisor on my resume?