The gem used for the summoning of the carbuncles is only referenced in the arcanist description in the game's webpage. As far as I recall, there is no mention of it during the arcanist quests.
However, if you take a closer look at the summoning animations you will note that, besides writting something on the book, there are three gemstones floating around your character. It's just that they forgot to mention it or maybe they did but didn't call any attention to it.
However, if you take a closer look at the summoning animations you will note that, besides writting something on the book, there are three gemstones floating around your character. It's just that they forgot to mention it or maybe they did but didn't call any attention to it.