Agregado do MongoDB com PHP - agrupar por data

$results = $c->aggregate(array(
    array(
      '$project' => array(
          'year' => array('$year' => '$executed' ),
          'month' => array('$month' => '$executed' ),
          'day' => array('$dayOfMonth' => '$executed')
      ),
    ),
    array(
      '$group' => array(
          '_id' => array('year' => '$year', 'month' => '$month', 'day' => '$day'),
          'count' => array('$sum' => 1)
      ),
    ),
    array(
      '$sort' => array(
          '_id.year' => 1,
          '_id.month' => 1,
          '_id.day' => 1
      ),
    ),
    array(
      '$limit' => 30
    )
));