  The CoHSI (Conservation of Hartley-Shannon Information) distribution is at
the heart of a wide-class of discrete systems, defining the length distribution
of their components amongst other global properties. Discrete systems such as
the known proteome where components are proteins, computer software, where
components are functions and texts where components are books, are all known to
fit this distribution accurately. In this short paper, we explore its solution
and its resulting properties and lay the foundation for a series of papers
which will demonstrate amongst other things, why the average length of
components is so highly conserved and why long components occur so frequently
in these systems. These properties are not amenable to local arguments such as
natural selection in the case of the proteome or human volition in the case of
computer software, and indeed turn out to be inevitable global properties of
discrete systems devolving directly from CoHSI and shared by all. We will
illustrate this using examples from the Uniprot protein database as a prelude
to subsequent studies.
