Emacs: unifying citations between html and latex in org-mode

How to set up org-mode so it could include the result of \cite LaTeX command in HTML export?

Example:

Gulliver's Travels

My father had a small estate in Nottinghamshire: I was
the third of five sons.\cite{swift1726}

\printbibliography

#+LaTeX_HEADER: \usepackage{biblatex}
#+LaTeX_HEADER: \bibliography{classics}

LaTeX export is absolutely great. But HTML expectantly produce all citations as they are in source. But how to achieve an output like this:

...
<title>Gulliver's Travels</title>
...
<p>My father had a small estate in Nottinghamshire: I was
the third of five sons.[<a href="#swift1726">1</a>]</p>
...
<p id="swift1726">[1] J. Swift. <i>Gulliver's Travels</i>. 1726.</p>
...