Hi Redpoint,
This is not going to probably be the most ideal way to tell but you can always use Sodium Nitrite. When applied to White Oak, Sodium Nitrite will turn White Oak a dark green to black color after about 10 minutes. Red Oak will not turn. Sapwood will also not turn so you need to watch out for that as well. Below is an example.
This is what happened after 30 minutes. ( I had to go back to the office for a little while )
You can buy Sodium Nitrite in a 5% aqueous solution from grainger for around $40