There are of course, a plethora of citation metrics. Are there any that consider how heavily cited a paper is within the papers that cite it?
Let's consider paper X.
One paper may casually cite paper X along with a bunch of other citations and never interact with it again.
e.g. "Much work has been done in this area of research (A, B, C, D, E, F, X)."
On the other hand, another paper may depend heavily on paper X: adapting paper X's methodologies for its own, utilizing the theory proposed by paper X, and directly comparing its own results to those of paper X.
To my understanding, a typical citation metric would pick both of these papers up as equivalent citations. Thus, paper X has 2 citations.
But that method misses so much of what paper X has contributed towards the 2nd paper.
Are there any metrics that consider this? Perhaps counting the number of times paper X is cited within the papers that cite it?