Before revision:  We also characterize the relationship between higher-order structure and the nature of the science and technology produced within these structural environments and find a positive relationship between the abstractness of language used within fields and increasing high-dimensional structure.
After revision:  We also characterize the relationship between higher-order structure are associated with better outcomes, as measured by the novelty and impact of papers and patents. However, the nature of the science and technology produced within these structural environments and find a positive relationship between the abstractness of language used within fields and increasing high-dimensional structure.