A new citation indexing paradigm is proposed: the cascading citation indexing framework (c2IF, for short). It improves the way research publications are assessed for their impact in promoting science and technology. Given a collection of articles and their citation graph, citations are considered at the (article, author) level. Each one article is uniquely identified by means of the Digital Object Identifier (DOI, http://www.doi.org). To identify each one author uniquely, a Universal Author Identifier (UAI) scheme is established. In addition to the citations directly made to a given (article, author) pair, citation paths that target each one citing article are also considered. The granularity of the paradigm is further increased by introducing the concept of the chord, whereby a citation path of length one co-exists with paths of length two or higher, involving the same source- and target- articles. The c2IF output emerges in the form of a medal standings table, analogous to the one that ranks teams at athletic events: when two (article, author) pairs receive the same number of (direct) citations, the one that is cited by more popular articles (i.e. articles that comprise targets to a larger number of paths in the citation graph), is assigned a higher rank value.