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\section{Introduction}\label{sec:intro}  The motivation behind creating Authorea has been to help streamline academic collaboration in writing any flavor of scientific documentation, notably research papers aimed at passing peer-review and getting published as scientific proceedings. While the authorship and submission experience comes first, a goal that comes close second is to also increase the openness of the scientific process, using the final publication as a ``looking glass'' into the practices and data collection which happened ``behind the scenes''.  We proceed to motivate why transparent research has superior properties and use ``live mathematics'' as one example of how Authorea enables it.  The core of the transparency problem is that we are still using the original publishing metaphor for documents, dating back to the innovations of 16th century Galileo Galilei, while simultaneously working on 21st century projects which are potentially large-scale, high-dimensional, multi-author and/or internationally distributed \cite{Goodman_2014}. The usual scientific document submitted to academic venues today is still oriented towards the printed page, remains opaque to the underlying data, of which it presents static snapshots, and is constrained by page count and margin sizes, often preventing it from providing sufficient detail of methodology and experimental setup.  This disconnect between experimental results and publications offers room for unintentional bias and experimental defects to remain unnoticed, making it difficult for reviewers to verify, and for follow-up experiments to continue the work in question. In 2015 we have seen a stream of high-profile retractions from some of the best scored journals that illustrate this problem.  \subsection{Facets of Transparency}  To contrast, we offer a brief enumeration of the positive impact of the transparency of methodology and data on the scientific process: 
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In this paper, we demonstrate an integration of technologies aimed to "illustrate" and "expose" the mathematical content to readers. We are not covering technologies aimed to assist with "verifying" or "co-deriving" mathematical results, such as proof-assistants and automated theorem provers, although we consider them viable future integration projects with Authorea.   The preprint of this paper, and simultaneously the demonstration of all described capabilities, are cross-hosted on Authorea and can be found at \cite{live-math}.