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We report electron spin resonance spectroscopy measurements performed atmillikelvin temperatures in a custom-built spectrometer comprising asuperconducting micro-resonator at $7$ GHz and a Josephson parametricamplifier. Owing to the small ${\sim}10^{-12}\lambda^3$ magnetic resonator modevolume and to the low noise of the parametric amplifier, the spectrometersensitivity reaches $260\pm40$ spins$/$echo and $65\pm10$$\mathrm{spins}/\sqrt{\text{Hz}}$, respectively.

Inductive-detection electron-spin resonance spectroscopy with $\mathbf{65}\,$spins$/\sqrt{\text{Hz}}$ sensitivity