I've looked into the old 0.9.4 SDK which ssl related codes are still opensource, and find it indeed leak of SHA-2 support. But I can do nothing except begging you staffs to support it because SDK 1.1.0 are no longer providing libssl with source opened.
Websites with SHA-1 certificate are no longer safe and will got a big Red warning in the new version of Chome(http://blog.chromium.org/2014/09/gradua ... sha-1.html). So not only we but almost every websites need to upgrade to SHA-2 certificate ASAP.
P.S. A good web-based tool that can tell you much more about your website's https related problem:
https://www.ssllabs.com/ssltest/analyze ... com&latest
It rated grade A to our server, but failed to connect from ESP8266 now : (
https://www.ssllabs.com/ssltest/analyze ... odelua.org
P.P.S. The certificate of espressif.com was EXPIRED 50 days ago!!!