Serializing java.util.Random

I'm working on a small, simple game (mostly to learn what's new in Java 8 and JavaFX). One of the features I have is the ability to seed the game's random number generator so you can play roughly the same game as a friend on a different system (think Minecraft Maps or The Binding of Isaac games).

I would like to add the ability to save the game to be resumed at a later time. After looking over the documentation for the java.util.Random class, I can't find a way to get the current seed of the random number generator. The only ways I have come up with to restore the random number generator after saving the game is to either access the seed via reflection at save time and use that, or to seed the initial seed at load time and just call nextInt() over and over again until we've rolled forward the random number generator enough to be where it was before the game was saved.