Authentication Example.cs

//using system
//using system.net

private static string WebRequestHelper(string url, string jsonPostData, string method, string email, string password)
{
    try
    {
        var uri = new Uri(url);
        var request = HttpWebRequest.Create(uri);
        // This sets up the basic authentication credentials
        request.Credentials = new NetworkCredential(email, password);
        request.Method = method;
        // This could be application/xml, if you're working with XML data.
        request.ContentType = "application/json";

        if (!string.IsNullOrEmpty(jsonPostData))
        {
            using (var s = request.GetRequestStream())
            {
                using (var sw = new System.IO.StreamWriter(s))
                    sw.Write(jsonPostData);
            }
        }

        using (var s = request.GetResponse().GetResponseStream())
        {
            using (var sr = new System.IO.StreamReader(s))
            {
                var jsonResponse = sr.ReadToEnd();
                return jsonResponse;
            }
        }
    }
    catch (Exception er)
    {
        throw;
    }


}

Authentication Example.js

// requires jquery

var WebRequestHelper = new function(url, jsonPostData, method, email, password, successCallback, failureCallback) {
  $.ajax
  ({
    type: method,
    url: url,
    dataType: 'json',
    username: username,
    password: password,
    data: jsonPostData,
    success: successCallback,
    failure: failureCallback
    }
  });
}

If you have an example in any other language, please include it!