How to assert a spy is invoked with event on click using jasmine?

I'm writing a simple click handler and need the event passed in (like so)

Thing = function($){

    var MyObject = function(opts){
        this.opts = opts;
    };

    MyObject.prototype.createSomething = function(){
        var that = this;
        $('#some_dom_element').live('click', function(e) {
            that.doStuff(e);
        });
    };

    MyObject.prototype.doStuff = function(e) {
        //do some javascript stuff ...
        e.preventDefault();
    };

    return MyObject;

}(jQuery);

Currently in my jasmine spec I've got something to spy on the function I expect gets invoked (but since it's called with e -not without args- my assertion is failing)

    it ("live click handler added to the dom element", function(){
        var doSpy = spyOn(sut, 'doStuff');
        sut.createSomething();
        $("#some_dom_element").trigger('click');
        expect(doSpy).toHaveBeenCalledWith();
    });

How can I correct this "toHaveBeenCalledWith" to work as I expect?

---

UPDATE

I couldn't get the accepted answer to work as is but I was able to alter it just a little and the below is my 100% working example

    it ("should prevent default on click", function(){
        var event = {
            type: 'click',
            preventDefault: function () {}
        };
        var preventDefaultSpy = spyOn(event, 'preventDefault');
        sut.createSomething();
        $("#some_dom_element").trigger(event);
        expect(preventDefaultSpy).toHaveBeenCalledWith();
    });

You have to trigger your own event passing a spy for the stopPropagation method, cause you wanna test if the event was stopped.

var event = {
    type: 'click',
    stopPropagation: function(){}
}
var spy = spyOn(event, 'stopPropagation');
$('#some_dom_element').trigger(event);
expect(spy).toHaveBeenCalled();

Note: there is code smell when you spy on the object you want to test, because you start to test the inner behavior of your class. Think about your function as a black box and test only the things you put in and get out. In your case, renaming the function in will break the test, while the code is still valid.