From our web dev:
The problem is that it is accessing the domain jetpack.me, which is using a wildcard certificate for *.wordpress.com. The certificate and domain name do not match.
https://dl.dropboxusercontent.com/u/6199808/BBD1F6Cb-3B9ACA00-1-20130620_101023_0.png
cURL seems picky about SSL certificates, and the only way to get around this is to use HTTP or disable the remote certificate check in cURL. Both involve modifying the Jetpack code.