Ham that is given to someone as an after thought.
Bretty give ham to his friends then offered Pity ham to the other people at the break table.
Brett: Hey guys do you want some ham I smoked over the weekend?
Friends: yes that sounds amazing, Thanks
Brett: “the next day” oh I forgot about you guys working across the street, would y’all like some ham?
Forgotten People: No thanks we don’t like Pity Ham.