A closer inspection shows it to be a Chicken of the Woods (Laetiporus sulfureus) mushroom-- a rare find at Peter Cooper Village. Maybe we have that awful smelling peat moss to thank! No flowers, but a nice mushroom.
Although it may have been fresh and whole when my friend found it earlier today, it now looks seriously nibbled on. The Chicken of the Woods is actually a great delicacy, one of the most delicious the wild mushrooms.
Update - August 12
There's also a Chicken of the Woods mushroom growing in Spunky's tree! You can see it just below her hole.