From the abstract of the paper: http://www.nature.com/articles/s41586-018-0435-1

> The transition frequency at a field of 1.033 tesla was determined to be 2,466,051.7 ± 0.12 gigahertz (1σ uncertainty) and agrees with the prediction for hydrogen to a precision of 5E−8.

I.E. It's the same for all practical purposes, but there may be a extremely tiny difference.

Edit: Comparing the numbers with the results for Hydrogen in an article someone else linked here

  Anti-Hydrogen:      2,466,051.7 ± 0.12 GHz
  (Normal)-Hydrogen:  2,466,061.413187035(10) GHz 

So they measure a tiny difference, and looking at the error estimations the difference is significative. I'm not sure if that is an expected difference or a unexpected difference or just an error in the experiment.

That would be more than a 5 sigma difference which would definitely be significant but that number you're quoting for normal hydrogren is the 1S-2S line.

This measurement is the 1S-2P line which has an average frequency of ~2,466,051.625 GHz (there's actually two levels). Which agrees to within 1 sigma - i.e. good agreement.

Thanks for the correction. I just assumed that the other article was about the same transition and I forget to check the details.

PS: If someone else wants to know why the 1S-2S and the 1S-2P transition have almost the same energy, but no exactly the same energy, it's an interesting weird story https://en.wikipedia.org/wiki/Lamb_shift

It mentions "good agreement". They are working on increasing the accuracy of the measurements to the point where they can confirm this.