References in PDF Bookmarks

References in PDF Bookmarks

I want to refer to a lemma in a section heading. I do that like this:
\section{Proof of Lemma~\ref{lem:main}}
The problem is that when I submit my paper to arXiv the PDF bookmark for
this section becomes "Proof of Lemma ??" (everything else looks fine). I
don't have this problem when I compile the paper on my computer. I think
that this problem happens because arXiv runs PDFLaTeX only twice; but one
has to run it three times to get correct PDF bookmarks. Is there a work
around for this problem?
(I use hyperref and compile the TeX file with PDFLaTex.)