Datepicker won't close when double-clicked

See http://stackoverflow.com/q/10538351/65387 for discussion.

HTML

<a href="#">double click me</a><input/>​

JavaScript

$('input').datepicker();
$('a').click(function() {
    $('input').datepicker('show');
});​

When you double-click the link the calendar opens but then becomes unclosable.

This seems to happen whenever you call 'show' twice before the fade animation completes.