var jObject = new JObject();
jObject.Add("birthday", "2011-05-06");
jObject.Add("email", "dude@test.com");
var items = new [] { "Item1", "Item2", "Item3" };
var jSonArray = JsonConvert.SerializeObject(items);
var jArray = JArray.Parse(jSonArray);
jObject.Add("_delete", jArray);