My preprint, with title "Commutative monads as a theory of distributions", and with the following abstract, has been posted on the arXiv, http://arXiv.org/abs/1108.5952 "The theory of commutative monads on cartesian closed categories provides a framework where aspects of the theory of distributions and other extensive quantities can be formulated and some results proved. We make explicit a link between our theory and the theory of Schwartz distributions of compact support. We also discuss probability distributions." There is also a Section on physical distribution types, as torsors over the corresponding pure quantity type. This preprint subsumes and simplifies most of my two previous postings on the arXiv, namely "Monads and extensive quantities" (arXiv 1103.6009) and "Calculus of extensive quantities" (arXiv 1105.3405). Anders Kock [For admin and other information see: http://www.mta.ca/~cat-dist/ ]