Yet Another Number

This position chills to +1/4.

1/4  

1/4 White plays first  

moves to a position worth -1/2 (+1/2 after chilling).

1/4  

reverses to a position worth +1 (0 after chilling).

The chilled game is

                   { 0 | 1/2 }

So the original position is worth +1/4.

--BillSpight