How to stop event bubbling on checkbox click

I have a checkbox that I want to perform some Ajax action on the click event, however the checkbox is also inside a container with it's own click behaviour that I don't want to run when the checkbox is clicked. This sample illustrates what I want to do:

$(document).ready(function() {
  $('#container').addClass('hidden');
  $('#header').click(function() {
    if ($('#container').hasClass('hidden')) {
      $('#container').removeClass('hidden');
    } else {
      $('#container').addClass('hidden');
    }
  });
  $('#header input[type=checkbox]').click(function(event) {
    // Do something
  });
});

#container.hidden #body {
  display: none;
}

<script type="text/javascript" src="https://ajax.googleapis.com/ajax/libs/jquery/1.3.2/jquery.min.js"></script>
<div id="container">
  <div id="header">
    <h1>Title</h1>
    <input type="checkbox" name="test" />
  </div>
  <div id="body">
    <p>Some content</p>
  </div>
</div>

However, I can't figure out how to stop the event bubbling without causing the default click behaviour (checkbox becoming checked/unchecked) to not run.

Both of the following stop the event bubbling but also don't change the checkbox state:

event.preventDefault();
return false;

replace

event.preventDefault();
return false;

with

event.stopPropagation();

event.stopPropagation()

Stops the bubbling of an event to parent elements, preventing any parent handlers from being notified of the event.

event.preventDefault()

Prevents the browser from executing the default action. Use the method isDefaultPrevented to know whether this method was ever called (on that event object).

Use the stopPropagation method:

event.stopPropagation();