I'm trying to represent netCDF data in NSIDC EASE Grid North using CF conventions such that ArcGIS shows the data in the place on a map. I figured I'd generate such a file with ArcGIS to see how it defines the coordinate system in netCDF.
To test, I took point data in NSIDC EASE Grid North, which I believe is EPSG:3408. I interpolated to raster and converted to netCDF. I've attached the result as from_arc_grid.nc, and the text version as from_arc_grid.cdl. When I use Make NetCDF Raster Layer on that netCDF file, it lines up with the points perfectly.