Because of plea bargaining or human error, not all arrests are reported.  However, you did enter a limited plea which is public record and could end up on a criminal background check.  The best way to know if it will or will not show up on a background check, you should go to a local law enforcment agency and ask them to just run a basic background check on you.  They may charge of nominal fee, but it's worth it to know for sure what will or will not appear.  If they ask the reason, simply say that a potential employer is asking for it as part of the interview process... and just leave it at that.  Do not tell them what you are looking for on the report.  If they have accidentally left off the entry, you don't want to tip them off to fix the error.