Thank you very much for the valuable addition taken from the CITES website.
In Russian (and the book is written in Russian for Russian-speaking specialists), the inner (oatmeal-like, granulated etc.) at the same time, the hard part of the walrus fang is called "pulpa".
If I decide to make an English version of my book on the definition of osteological materials, I will definitely describe the structure of the walrus fang, as is customary in the English scientific literature