The heating up has stopped. I mixed some soil (perhaps too much) into the pile and it stopped. In fact I see little evidence of rotting but I suspect I am simply being impatient. This will probably take the better part of a year to turn into compost. I hope the process speeds up in the summer. I shall have to water it a lot though.
I have a new problem though. I started yanking plants to make room for spring sowing. But some of the plants, like the kohlrabi and turnips, have thick, strong stems. I don't see those breaking down easily. I tried attacking that stuff with my mini tiller but it just clogged the thing up.
Do I need to find some way to shred up those stems? I could try separating out the thick parts and running them over with the lawnmower. It kind of worked with the tomato plants.