Mongodb sort inner array

I've been looking for a while now and can't seem to sort an inner array and keep that in the doc that I'm currently working with.

{
    "service": {
        "apps": {
            "updates": [
              {
                "n" : 1
                "date": ISODate("2012-03-10T16:15:00Z")
              },
              {
                "n" : 2
                "date": ISODate("2012-01-10T16:15:00Z")
              },
              {
                "n" : 5
                "date": ISODate("2012-07-10T16:15:00Z")
              }
            ]
        }
     }
 }

So I want to keep the item to be returned as the service, but have my updates array sorted. So far with the shell I have:

db.servers.aggregate(
        {$unwind:'$service'},
        {$project:{'service.apps':1}},
        {$unwind:'$service.apps'}, 
        {$project: {'service.apps.updates':1}}, 
        {$sort:{'service.apps.updates.date':1}});

Anyone think they can help on this?