One such rich fossil record is that of large mammals of the Quaternary Period in North America. Of the thousands of fossils of megafauna from dozens (hundreds?) of different sites on this continent, there is nary a single tooth of a Gigantopithecus. Now a single tooth is all that is needed to identify that genus (that's what diagnostic means - the minimum amount of something necessary to be absolutely sure what it is), and we have more than 1000 of these teeth known from China, Vietnam, and eastern India. Lord knows how many others were found through the centuries and ground to powder in apothecaries all over Southeast Asia.
Now, would it make sense that an animal whose teeth have been easy to find in Asia would for some reason have its teeth be hard (so far, impossible) to find in North America? It might, if the Pleistocene fossil record for large mammals was really scanty, but that record isn't scanty. It's rich. So there is no reason to postulate that Gigantopithecus ever dispersed to North America, and it's the fossil record of the beast that tells us so.
To suggest a Giganto - or anything like it - dispersal to North America while hand-waving away the fossil history of such creatures is untenable.
To answer the highlighted part, it's thousands. There are hundreds in California alone (Jefferson, 1991--if you do California paleontology, you know this one!!). Nevada has even more. There are dozens of packrat middens--a single type of deposit--alone.
The problem that Chris and other "Gigantopithicus is in North America" people are going to run into is, as I said, depositional environments. It's a basic geological truism that the more modern the sediment, the more is exposed. We have less Paleocene stuff than we do Pleistocene stuff at the surface. And construction folks like to dig through sand a LOT more than they like to dig through limestone, so they tend to excavate a lot more Pleistocene stuff than practically anything else. It's very annoying to a dinosaur-lover like myself, but it's rather convenient for this discussion, as we have a remarkably good sampling of megafauna from the end of the Pliocene to the present due to paleontological resources monitoring activities.
Bear in mind that these activities DO NOT CARE about taxonomy. That comes later. They extract any bones they find. I can assure you, the monitors get excited by any scrap they see; it's rare enough to find even that much. If they'd found an ape tooth, things get worse. You are legally obligated to call the county coroner if you suspect human remains, for obvious reasons. We are extremely good at differentiating human remains from other remains (paleontologists ARE NOT archaeologists, no matter what my bosses say!). Anything that's human-ish but not human would be investigated more than any non-paleontologist/non-archaeologist can possibly imagine. Even if the people who found it wanted to keep it quite, the repository wouldn't. They are, according the curatorial agreements I've seen (which basically came from the institutions and were signed off on by my company), under no legal obligation to keep quiet about any of our finds. The whole bloody POINT of paleo monitoring is to ensure that the fossils get into the hands of the scientific community, after all (Eric Scott wrote an essay that touches on this once; it came up recently with the enactment of the Omnibus Public Land Management Act, and particularly the Paleontological Resources Preservation Act within the OPLMA).
That's not even getting into the two concentrat lagerstatten found in California, or the ones found elsewhere for that time period. If Gigantopithicus was around during the Pleistocene we'd have found remains in Rancho La Brea, for example. We've found everything else there, after all.
We're talking about one of the most well-sampled bits of lithology on Earth. I'm extremely confident that if something like this existed, we'd have seen evidence for it by now. Yes, new species are found--but nothing like an ape. Nothing even indicative of an ape, outside our own species (again, see Jefferson, 1991 to get a feel for how many humans have been found in California alone).
dmaker said:
No. I think it was first entered into Footer canon by either Krantz or Bindernagel. Basically it goes along the lines of the fact that people find bones in the forest for known animals, like bears, so infrequently suggests that the chance of people coming across Sasquatch bones is next to nil. Since, I guess, Bigfeets are even rarer than bears. It comes up a lot in discussions in other places.
You've obviously never been on a walk with me.

My wife has dictated that only things lacking any squishy bits get to come home, unfortunately; still, you can find a surprising number of bones in your average woods. It's not that hard--any half-way descent book on skull collecting will provide really good advice on the subject. And it's a common enough hobby to warrant making and selling a surprising number of such books (I've got three, I think; depends on how you count them). There are a lot of people who do this sort of thing.
I know you're relaying the bigfooter stance on this; I'm not saying you believe it. I'm merely offering my perspective.