Karkinos.ga stores 2 (well now 3, because of this banner... go EU!) cookies on your computer. KARKINOS_TEAM is an integer which identifies which version of the site to load, KARKINOS_TOKEN is a JWT that identifies your discord account when/if you login, and KARKINOS_SILLY_EU stores true to verify that you have seen this message. No personal information is stored on the site.
You can see the vast array of information contained within KARKINOS_TOKEN by pasting it's contents at https://jwt.io/. Yours is: