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PSR J1012$-$4235 is a 3.1ms pulsar in a wide binary (37.9 days) with a whitedwarf companion. We detect, for the first time, a strong relativistic Shapirodelay signature in PSR J1012$-$4235. Our detection is the result of a timinganalysis of data spanning 13 years and collected with the Green Bank, Parkes,and MeerKAT Radio Telescopes and the Fermi $\gamma$-ray space telescope. Wemeasured the orthometric parameters for Shapiro delay and obtained a 22$\sigma$detection of the $h_{\rm 3}$ parameter of 1.222(54) $\mu$s and a 200$\sigma$detection of $\varsigma$ of 0.9646(49). With the assumption of generalrelativity, these measurements constrain the pulsar mass ($M_{\rmp}=1.44^{+0.13}_{-0.12}$M$_{\odot}$), the mass of the white dwarf companion($M_{\rm c} = 0.270^{+0.016}_{-0.015}$M$_{\odot}$ ), and the orbitalinclination ($i=88.06^{+0.28}_{-0.25} \deg$). Including the early $\gamma$-raydata in our timing analysis facilitated a precise measurement of the propermotion of the system of 6.58(5) mas yr$^{-1}$. We also show that the system hasunusually small kinematic corrections to the measurement of the orbital periodderivative, and therefore has the potential to yield stringent constraints onthe variation of the gravitational constant in the future.

Detection of the relativistic Shapiro delay in a highly inclined millisecond pulsar binary PSR J1012$-$4235