In this chapter, we present the SWiM system, a prototype semantic wiki for collaboratively building,
editing, and browsing mathematical knowledge. SWiM is based on the semantic wiki IkeWiki, but re-
places the wiki text with OMDOc, a markup format and ontology language for mathematical documents
as the underlying knowledge representation format. Our long-term objective is to evolve SWiM into an
integrated platform for ontology-based added-value services. As a social semantic work environment, it
will facilitate the creation of a shared, public collection of mathematical knowledge (e.g., for education)
and serve scientists as a tool for collaborative development of new theories. We discuss the architec-
ture of the SWiM system focusing on its conceptual base, the OMDOc system ontology. In contrast to
other semantic wikis, SWiM uses the system ontology to operationalize the fragments and relations of
the underlying representation format, not only the domain ontology, that is, the relations between the
represented objects themselves. We will present the prototype implementation of the SWiM system and
propose its further evolution into a service platform for science and technology.