  The detection of the radio signal from filaments in the cosmic web is crucial
to distinguish possible magnetogenesis scenarios. We review the status of the
different attempts to detect the cosmic web at radio wavelengths. This is put
into the context of the advanced simulations of cosmic magnetism carried out in
the last few years by our {\magcow} project. While first attempts of imaging
the cosmic web with the MWA and LOFAR have been encouraging and could discard
some magnetogenesis models, the complexity behind such observations makes a
definitive answer still uncertain. A combination of total intensity and
polarimetric data at low radio frequencies that the SKA and LOFAR2.0 will
achieve is key to removing the existing uncertainties related to the
contribution of many possible sources of signal along deep lines of sight. This
will make it possible to isolate the contribution from filaments, and expose
its deep physical connection with the origin of extragalactic magnetism.
