We present a progress report on the Core Program project dealing with
X-ray weak Seyfert 2 galaxies. The aim of the project is to increase t
he sample of Seyfert 2 galaxies with measured hard X-ray spectra, by a
dding progressively weaker objects within a well-defined optical sampl
e. The hard X-ray information, together with the [OIII] and IR fluxes,
the orientation of the host galaxy and the geometry of the ionization
cone, should give the distribution of the absorbing column N-H, and a
ssess the reliability of various proposed ''isotropic'' indicators of
the luminosity. We have up to now a 100% detection rate, and find syst
ematically low (X/[OIII]), high N-H, and high Fe Ew. While the first f
inding is due to our attempt of removing pre-existing biases, the rema
ining two support strongly the unified scenario, and point to a fracti
on of X-ray thick sources higher than usually assumed.