I punch in all my info (host, username, password, etc) and the app tells me 'Authentication Failed' for info I am sure is right. I've triple checked the login information and I also have K9 Mail installed and that connects just fine (though it doesn't sync well and doesn't respect read flags well).
I checked the mail logs on the Mavericks server and on my attempted connection:
May 13 17:14:37 imap-login: Info: ID sent: name=com.android.email, os=android, os-version=4.4.2; KOT49H, vendor=samsung, x-android-device-model=SM-G900V, x-android-mobile-net-operator=Verizon Wireless, AGUID=u1XvHJEEnCugmRKnZZU4ScZLSuY=: user=<>, rip=192.168.5.144, lip=192.168.0.80, TLS
May 13 17:14:39 imap-login: Info: Disconnected (auth process communication failure): user=<>, method=DIGEST-MD5, rip=192.168.5.144, lip=192.168.0.80, TLS: Disconnected
As far as 'official' support, I'm not quite sure if I should start with Samsung, Google, or Verizon... I feel like Google would be the ones who could truly troubleshoot this app issue, but they could always blame Samsung or Verizon for their customizations... yay fragmentation!