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The dramatic slowing down associated with the glass transition cannot befully understood without an associated static length that is expected toincrease rapidly as the temperature is reduced. The search for such a lengthwas long and arduous, without a universally accepted candidate at hand.Recently a natural such length $\xi_s$ was proposed, stemming from a cross-overbetween plastic and elastic mechanical responses of the material. In thisLetter we show that supercooled liquids in which there exists random pinningsites of density $\rho_{\rm im}\sim 1/\xi_s^d$ exhibit complete jamming of alldynamics. This is a direct demonstration that the proposed length scale isindeed {\em the} static length that was long sought-after.

Exposing the static scale of the glass transition by random pinning