I'm using Tufte document classes, in which citations appear as sidenotes consisting of the full bibliography entry, using (I believe) \bibentry. Many of my bibliography entries contain URLs (and I want them there) but I don't want those URLs to appear in the citations.
Is there a way to omit URLs from such citations but keep them in the bibliography?

\documentclass[]{tufte-handout}
\begin{document}
This,\cite{Sarukkai:2005} includes the URL for the citation, which I don't want; thought I do want it in the bibliography.
\bibliographystyle{unsrtnat}
\bibliography{References}
\end{document}
@article{Sarukkai:2005,
author = {Sarukkai, S},
title = {{Revisiting the 'unreasonable effectiveness' of mathematics}},
journal = {Current science},
year = {2005},
url = {http://www.ias.ac.in/currsci/feb102005/415.pdf},
}

DeclareFieldFormat{url}{}– Marco Daniel Mar 04 '12 at 17:00AtEveryCite. But I think it's a new question ;-) – Marco Daniel Mar 04 '12 at 18:06unsrtnat.bst? – user14492 Apr 02 '18 at 21:16