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Authorea is a collaborative platform for writing research and education, with a focus on web-first, high quality scientific documents.  In this paper, we offer a tour through our integration of technologies that evolve math-rich papers into digital, transparent,  active objects.To enumerate, we currently employ LaTeX and LaTeXML (for authoring), MathJax (for math rendering and clipboard), D3.js (data visualization), iPython (computation), Flotchart and Bokeh (plotting ). This paper presents the challenges and rewards of integrating active web components for mathematics, while preserving backwards-compatibility with classic publishing formats. We conclude with an outlook to the next-to-come mathematics enhancements on Authorea, and a technology wishlist for the coming year.