I traced down the problem to Crypt::SSLeay not being thread-safe, which LWP uses to make SSL requests. Here's the bug report. There is also a very old thread here at perlmonks without a solution.

The bug report contains a patch, try applying it :)

In reply to Re: Threads and HTTPS Segfault by Anonymous Monk
in thread Threads and HTTPS Segfault by onelesd

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