The sap deposits are definitely a characteristic of the Rocky Mountain Bristlecone - p. aristata. (Great Basin Bristlecone doesn't have this characteristic and I don't think Foxtail does either.) I don't know if there are any JWP's that do this...? Maybe Owen or someone over there can find out.
I wish I could answer your question for certain but it's hard to do from a photo. I will say that it looks very much like a Bristlecone though. I have two, and the picture looks more like Bristlecone than JWP to me.
It's interesting how it ended up over there if it is a Bristlecone. Is there any way to track down the grower or importer?