Is the Arctic marble fox same as fox?

No, the Arctic marble fox is not the same as a fox. The Arctic marble fox is a color variation of the red fox (Vulpes vulpes), which is part of the Canidae family and is not a distinct species of fox.

The Arctic marble fox has a unique white and bluish-gray fur coloration due to genetic differences from ordinary red foxes. They are considered as color variants or geographic isolates of red foxes rather than being a separate species.