DeclareRobustCommand{pbar}{HepAntiParticle{p}{}{}xspace} DeclareRobustCommand{p}{HepParticle{p}{}{}xspace} DeclareRobustCommand{mup}{$mu_{p}${}{}xspace} DeclareRobustCommand{mupbar}{$mu_{pbar}${}{}xspace} DeclareRobustCommand{muN}{$mu_N${}{}xspace For the first time a single trapped pbar is used to measure the pbar magnetic moment ${bmmu}_{pbar}$. The moment ${bmmu}_{pbar} = mu_{pbar} {bm S}/(hbar/2)$ is given in terms of its spin ${bm S}$ and the nuclear magneton (muN) by $mu_{pbar}/mu_N = -2.792,845 pm 0.000,012$. The 4.4 parts per million (ppm) uncertainty is 680 times smaller than previously realized. Comparing to the proton moment measured using the same method and trap electrodes gives $mu_{pbar}/mu_p = -1.000,000 pm 0.000,005$ to 5 ppm, for a proton moment ${bm{mu}}_{p} = mu_{p} {bm S}/(hbar/2)$, consistent with the prediction of the CPT theorem.
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