Remove "empty" paragraphs with jQuery

My writers have a bad habit of creating empty paragraphs. (I.e., paragraphs that have nothing inside them, like:

<p></p>

Is there a jQuery function that removes "empty" paragraphs. Here's what I've tried:

$('p').remove(":contains(' ')"); // nope! bad logic, all p's have empty spaces 

$("p:empty").remove() // nope, doesn't work, doesn't remove any p's

Anything else I should try?