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We present here high precision magnetisation measurements in polycrystalline$YBa_2Cu_3O_{x}$ samples, with oxygen content ranging from $x=6.19$ to$x=7.00$. By analysing the temperature derivative of the susceptibility, wefound in the underdoped superconducting samples a singular point at atemperature corresponding to $T_{mag}$, the temperature below which polarisedneutrons experiments have evidenced a symmetry breaking. We believe that thisis a thermodynamic indication for the existence of a phase transition in thepseudogap state of underdoped $YBa_2Cu_3O_{x}$.

Thermodynamic signature of a phase transition in the pseudogap phase of $YBa_2Cu_3O_{x}$ high-$T_C$ superconductor