It helps to slap a bandaid over these not just when riding (it'll either stay, or rub off right away), but over the next few days under regular clothes. They seem to need a period of peacefulness to go away.
"My predominant feeling is one of gratitude. I have loved and been loved;I have been given much and I have given something in return...Above all, I have been a sentient being, a thinking animal, on this beautiful planet, and that in itself has been an enormous privilege and an adventure." O. Sacks