I've been thinking about this for a while because I often see the two interchange or one substitute the other when someone who wants to credit themselves with more than they can get themselves to put in. The full question goes like this.
Suppose you have an art thief. How does art theft work? It works by taking hold of a work of art and claiming it as your own. That's what it means, you're "stealing their work", hence the theft in art theft. There are many people who, while wandering a place, came across a work of art and thought "say, that looks familiar". That's an art thief. They snagged the picture itself and put it among their gallery.
Now suppose you have someone else. This person won't go into your territory, snag an art work, and display it in the location of their gallery, but they'll go around saying to people "that artwork is of my doing, that one right there, did ya know that". In doing this, they will be taking credit from a distance, despite never having touched the artwork. Is this, however, deception crossing over into the exigence of theft, or is it just its own thing, crying wolf by another angle?
If you were running your own art site (or if you already do), how would you categorize this in the system of enforcement?