According to everything I've read and the class I took on composting, piles that are 140 or higher for a week or so will kill the seeds. Is that not the case? My piles were all in the 145-160 range for at least a month.
Ben you've probably read this but I'll repeat it anyway. There are several things the experts say to not put into your compost. Some of them are because of imperfect turning/mixing not everything gets cooked though there are different reasons for some if it.
1. Noxious weeds - If they don't get cooked seeds or maybe even bits of root may survive and sprout in your garden. Some things need to be burned or go to the landfill, roots, rhizomes, bulbs, and seeds of Johnson Grass and Canada Thistle for example.
2. Diseased plants, especially from your garden - You might wind up putting spores or something else back in the garden that could infect you plants.
3. Plants infested with pests - It helps to know the life cycle of the pest but it's possible to put eggs, cocoons, or such back in your garden.
4. Grease, oil, or meat products - These can attract vermin like flies, mice, rats, raccoons, possum, skunks, dogs, coyotes, and who knows what else. Mice and rats can attract snakes. These can also go anaerobic and really stink. I don't follow this one entirely. I've been known to bury chicken butchering by products and dead rabbits and rats in the bottom of my compost pile when I'm starting a new one. As long as they are well sealed in so the small cannot escape I don't have a problem. If the smell can escape coyotes, dogs, and raccoons will dig them out.
5. Dog, cat, and other carnivore poop - The concern is that they might harbor certain pathogens that can get you sick. I don't stay awake at night worrying if a bit finds its way in but if you are scooping a cat litter box or cleaning up after a dog I would not dispose of that quantity in my compost pile.
Of course I violate all of these to some degree, I'm not that meticulous. But I do try to follow most of these as much as I reasonably can.