This is a company making a device for Pavlovian conditioning.. Remember, you'll get zapped if you don't make that commit on time!
I wouldn't be too quick to assume bad faith on the companies part though. Sometimes agile companies have these vanity metrics as a proxy to keep their development environments and processes in check. (ie: are things set up well enough with a fast test suite so that developers are comfortable committing/pushing/deploying frequently with confidence?)
That's why I phrased it as a query as to the reasoning behind the metric as it could be easily read as the company using a poor performance metric.
GIT_COMMITTER_DATE='$BOGUS_DATE' GIT_AUTHOR_DATE='$BOGUS_DATE' git commit
is your friend ;)