Application services provider services, namely, providing application programming interface (API) software and temporary use of non-downloadable software featuring widgets for websites, mobile applications, social applications, or enterprise software applications, all in order to enable visitors to or users of those applications to identify and establish a linkage to other visitors and content elements of interest through third party social graphs or through site contents, to receive and control notifications of events performed by or associated with those visitors and content, to measure and analyze the degree and nature of these linkages, or to build predictive models using associated data