To create a legal record of an incident, set expectations for improvement, and document that the employee was warned before potential termination.
In a professional setting, a "write-up" is a formal document used to address performance or conduct issues.
If you are applying for a job or professional license and must disclose a past misdemeanor conviction, you may need to provide a written "Letter of Explanation" or "Character and Fitness Addendum." Fair Chance Act: Criminal History and Employment