Rocky,
The polishing pastes that have been mentioned will work but I still prefer a stone when you have access to use a stone. Some times you just don't have the access to use a stone and the paste is your only option.
You will end up with a better and longer lasting surface if you can use a stone. Reason being that a stone will only cut the high spots , where as the paste will cut evenly across the entire surface. Now that sounds like that is what you want but in reality it is not. Imagine if you will that one surface is perfectly and I mean perfectly flat and smooth, smoother than glass. Now imagine that the matting surface is rough and has hills and valleys.
Stone both surfaces and they will both end up flat and smooth.
Use paste on these surfaces, working against each other (opening and closing the action) and you end up with both surfaces now having hills and valleys. Yes, the hills on one side will match the valleys on the other surface but wait,,,, these surfaces have to slide across one another when opening and closing. Therefore you still end up with matching grooves running in the direction of travel.
Still not a good as having two flat and smooth surfaces sliding across each other.
Now if it sounds as if I'm splitting hairs,,,,,, well yes I probably am. You see, I am a tool and die machinist and I know of where I speak. So yes, paste will work, but a stoned surface will be better.