I have a Collection containing a date field. I want to group it by dayOfMonth but at the time of projection I want to project the complete Date and associated count.

I have a raw Collection in mongodb containing a Timestamp (Date field)
This is my Aggregation query:

```
db.raw.aggregate(
{
    "$match" : { "Timestamp":{$gte:new Date("2012-05-30T00:00:00.000Z"),$lt:new Date("2014-05-31T00:00:00.000Z")}}
},
{ 
    $group: 
    { 
        _id: { ApplicationId: "$ApplicationId", date: {$dayOfMonth: '$Timestamp'}   }, 
        count: { $sum: 1 } 
    }
}
)

```

In the above query I'm grouping with dayOfMonth but how can I project complete the Date with count?