Shapefile source: http://www.istat.it/it/archivio/24613
Convert shapefile to geojson, s_srs defines the input projection, t_srs defines the output projection to the EPSG code 4326 (http://spatialreference.org/ref/epsg/4326/) see also http://www.gdal.org/ogr2ogr.html
ogr2ogr -f GeoJSON -s_srs prov2011_g.prj -t_srs EPSG:4326 sub.json prov2011_g.shp