Technically, they arrested you, they handed you a citation to appear in court. That will appear on your arrest record, which is separate from your criminal record. You can't be criminally charged without formally being arrested.

The fact that you were sentenced probation means you have been convicted of the charge. However that is very vague. There are cases upon successful completion of probation and drug screening, you could get the charge and arrest sealed. When a record is sealed, it exists, but access to the information is limited to the court, government, and law enforcement agencies. The other thing you want to eventually do to see if those charges qualifies for expungment after a certain time period, which means to strike off the record.

Regardless, this is something you should consult a lawyer to clarify the status and look at possible expungment. It's something you should try keep off your record regardless.