The article ‘‘Punctual Categoricity Relative to a Computable Oracle’’, written by I. Sh. Kalimullin and A. G. Melnikov, was originally published electronically in Springer-Link on 4 June 2021 without Open Access. After publication in volume 42, issue 4, pages 735–742 the authors decided to make the article an Open Access publication. Therefore, the copyright of the article has been changed to ©The Author(s), 2021 and the article is forthwith distributed under the terms of a Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/, CC BY), which permits use, duplication, adaptation, distribution and reproduction of a work in any medium or format, as long as you cite the original author(s) and publication source, provide a link to the Creative Commons license, and indicate if changes were made.