Maybe a late reply but here it goes anyways

For creating base extensions you only need a dll so a Class Library project should do it.

Next step is to make a class that has the appropriate attributes like you implemented

namespace BaseTest{
    [RestExtension("myAlias")]
    public class TestClass{
        [RestExtensionMethod(returnXml = false)]
        public static string Hello(){
            return"Hello World";
        }
    }
}

You then build your solution and put the dll into your umbraco bin folder

No need to do anything else but call the url.

To call a method from base it goes like this

http://<yourdomain>/base/<RestExtensionAlias>/<methodname>/

For the method Hello it looks like this:

http://domain/base/myAlias/Hello/

Note: the alias & method are case sensitive

Which will return xml:

<value>Hello World</value>

If you don't want xml set the parameter 'returnXml' to false

namespace BaseTest{
    [RestExtension("myAlias")]
    public class TestClass{
        [RestExtensionMethod(returnXml = false)]
        public static string Hello(){
            return "Hello World";
        }
    }
}

Which then will return:

Hello World

You can also pass parameters to a method:

namespace BaseTest{
    [RestExtension("myAlias")]
    public class TestClass{
        [RestExtensionMethod(returnXml = false)]
        public static string Hello(string name) {
            return "Hello " + name;
        }
    }
}

The url looks then like this: http://domain/base/myAlias/Hello/paulus/ which gives:

Hello paulus

To use this with $.ajax you just set the url parameter to the url above

Thats the basics to use base

Hope this helps :)

is working on a reply...