Game center sign in issues

My iPad was working correctly this morning. I was able to switch Game Center accounts with no problem. Now all of the sudden I can not sign in to any of my accounts on my iPad. I can still sign into any of these accounts on my iPhone though, so it's not a problem with my accounts. I tried restarting the iPad and made sure all apps and and the operating system were up to date. The error message I receive is " Verification Failed Unable to sign you in to your Apple ID. Try again later." Again, I can sign into this account on my iPhone so it's not the account. Does anyone know what the issue might be?