Guys I think you’re burying the headline. This design apparently gets a pressure ratio of *10* with *4* stages. For reference the F119 has PR of 6 with 6 stages, the EJ-200 gets 6 with 5 stages, and Idz. 30 apparently gets 6.5 with 5 stage.
Not so fast. On the other engines you mention these pressure ratios refer to the *compressor*, whereas this paper apparently concerns itself with *turbines* exclusively! If you want to take an efficiency penalty (mind you, turbine stage efficiencies are routinely around 90% or greater), turbine pressure ratios can exceed 4.0 in a single stage.
Perhaps the demonstrator engine also has DB 007 style counter-rotating compressors (which can be expected to give higher pressure ratio per blade row pair), but the paper does not apply to that aspect. As for schematics of that engine, this is probably your best online source:
Unfortunately they aren't particularly intuitive to interpret, as some of the other eccentricities of the design (including the wacky partial admission turbine cooling system) add to the complexity.