These are all immediate solutions. If you wish to defile it for a prolonged period of time, there is an alternative. We used to possess a Florida welcome mat, which we used for the express purposes of wiping our dirty or muddy shoes/boots. On rare occasions, more aromatic substances may have found their way on to the welcome mat if someone had erroneously stepped into dog "fertilizer" while mowing the yard. In any event, if you already have a welcome mat, you could tack the shirt down over the top of it and use it as a covering until it had become too filthy or rank for your taste.