We've fixed the login issue for Windows Phone users. Download the updated version now: http://t.co/W219g7BNEV— Vine Help (@vinehelp) November 13, 2013
Prior to Wednesday night's update, users who had passwords using certain characters were unable to sign into their respective accounts through Twitter. Users began tweeting to the official @vinehelp Twitter account noting the error, with support personnel responding that a fix was in the works.
That fix is now live, and users can download the update from the Windows Phone Store if they're not automatically prompted to do so. Some users have reported the update not automatically working, but uninstalling and re-installing the app appears to resolve the issue.
Source: Windows Phone Store