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I don't imagine this comes up very often, but:
$ mkdir /tmp/a; cd /tmp/a; rmdir /tmp/a; python -c 'import site';
rmdir: removing directory, /tmp/a
'import site' failed; use -v for traceback
Traceback (most recent call last):
 File "<string>", line 1, in <module>
 File "/home/wking/lib/python/site.py", line 73, in <module>
 __boot()
 File "/home/wking/lib/python/site.py", line 33, in __boot
 imp.load_module('site',stream,path,descr)
 File "/usr/lib/python2.5/site.py", line 408, in <module>
 main()
 File "/usr/lib/python2.5/site.py", line 392, in main
 paths_in_sys = removeduppaths()
 File "/usr/lib/python2.5/site.py", line 96, in removeduppaths
 dir, dircase = makepath(dir)
 File "/usr/lib/python2.5/site.py", line 72, in makepath
 dir = os.path.abspath(os.path.join(*paths))
 File "/usr/lib/python2.5/posixpath.py", line 403, in abspath
 path = join(os.getcwd(), path)
OSError: [Errno 2] No such file or directory

I'm quite sure nobody will want to do anything about it...

I just fixed it myself ;). As I said before, not really a big deal, but it was an easy fix. I've attached a patch, or you can merge my hg branch f python-trunk at
 http://www.physics.drexel.edu/~wking/code/hg/hgwebdir.cgi/python/ 

Thanks! Reopening.

A unit test is needed. Not to check the code, but to ensure that we don't break it in the future.

There was a bug in copy_absolute(): if _Py_wgetcwd() failed, the result was undefined (depending of the content of "path" buffer). Especially, absolutize() calls copy_absolute() with a buffer allocated on the stack: the content of this buffer depends on the undefined content of the stack.
Fixed in Python 3.2 (r85309+r85311), 2.7 (r85312) and 3.1 (r85313).
copy_absolute() is used (by calculate_path()) to fill sys.path.

deleted_cwd.patch, patch based on labrat's patch updated to py3k:
http://www.physics.drexel.edu/~wking/code/hg/hgwebdir.cgi/python/rev/77f3ad10ba45
Procedure to test the patch:
 - go into Python source tree
 - make a directory "z"
 - enter z directory
 - delete the z directory (in another terminal)
 - run ../python

Fixed in 3.2 (r85386+r85387+r85389), 2.7 (r85390), 3.1 (r85391).
Thanks labrat for your patch. I added you to Misc/ACKS.