Shouldn't be hard to find one
A pit saw is essentially a rip saw. I've seen a few cross cuts re-filed for ripping but the design of the saw is all wrong for pit sawing lumber.
Here's a place to get you prepared:
http://www.shavings.net/HEAVEN.HTM
Here's whare to buy one:
http://www.crosscutsaw.com/page11.html
Google.com might have some results if you key "pit saw" in the search field. I burned out aver going through a couple of screens where I found the links above.
The few pitsaws I've seen were in bad shape but it seemed that they were sharpened with a chisel edge having about 10 degrees bottom clearance and about 10 degrees top. I don't know if the teeth were swaged or set with a slotted wrench-like tool whose name escapes me.