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We compute the magnetic susceptibility and specific heat of the spin-<InlineEquation ID="Equ2"> <EquationSource Format="TEX">$\frac{1}{2}$</EquationSource> </InlineEquation> Heisenberg model on the kagome lattice with high-temperature expansions and exact diagonalizations. We compare the results with the experimental data on ZnCu<Subscript>3</Subscript>(OH)<Subscript>6</Subscript>Cl<Subscript>2</Su bscript> obtained by Helton et al. [Phys. Rev. Lett....<//su></subscript></subscript></subscript></equationsource></inlineequation>
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