\begin{document}$e^+e^-$\end{document} annihilation data samples are useful for studying charmonium(-like) states and charmed-hadron decays. By adopting a novel method of analyzing the production of \begin{document}$\Lambda_{c}^{+}\bar{\Lambda}_{c}^{-}$\end{document} pairs in \begin{document}$e^+e^-$\end{document} annihilation, the center-of-mass energies are measured with a precision of \begin{document}$\sim$\end{document}0.6 MeV. Integrated luminosities are measured with a precision of better than 1% by analyzing the events of large-angle Bhabha scattering. These measurements provide important inputs to analyses based on these data samples."> Luminosities and energies of <i>e</i><sup>+</sup><i>e</i><sup>−</sup> collision data taken between <inline-formula><tex-math id="M2">\begin{document}${\sqrt{\boldsymbol s}}$\end{document}</tex-math><alternatives><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/86649eb4-adb9-4d3f-ae2c-b9a29806471b/CPC-2022-0220_M2.jpg"/><graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="//www.macurncorp.com/hepnp/article/app/id/86649eb4-adb9-4d3f-ae2c-b9a29806471b/CPC-2022-0220_M2.png"/></alternatives></inline-formula>=4.61 GeV and 4.95 GeV at BESIII -
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