To see the date a job was originally created and published, visit the Activity Stream and select the Published filter. You will see the publication date in grey font. To view the exact date and time the action happened, hover your cursor over the timestamp.
Note: Details about archived jobs are not available in the Activity Stream.
In addition to the above option, you can visit the Activity log report. The Activity log report will contain publishing details for archived jobs. Filter by the relevant job and job activity as shown below.