Was Esau's Birthright also a physical token?

I read long ago in the Open Bible as a note, that birth rights were actually a physical carved token that Jacob tricked Esau out of, I guess a registered icon with the powers that be. Is this true? It's never mentioned anyone else. It seems to make sense to me, as Esau could've lied to this father, even though he swore to Jacob. He couldn't do this if the supposed birthright token was transferred to Jacob. Perhaps the bible version I read was incorrect... would be interesting to find out for sure.