To cite iNEXT.beta3D in publications use:

Chao, A., Thorn, S., Chiu, C.-H., Moyes, F., Hu, K.-H., Chazdon, R. L., Wu, J., Magnago, L. F. S., Dornelas, M., Zeleny, D., Colwell, R. K., and Magurran, A. E. (2023). Rarefaction and extrapolation with beta diversity under a framework of Hill numbers: the iNEXT.beta3D standardization. Ecological Monographs e1588.

Corresponding BibTeX entry:

  @Article{,
    title = {Rarefaction and extrapolation with beta diversity under a
      framework of Hill numbers: the iNEXT.beta3D standardization.},
    author = {{Anne Chao} and {Simon Thorn} and {Chun-Huo Chiu} and
      {Faye Moyes} and {Kai-Hsiang Hu} and {Robin L. Chazdon} and
      {Jessie Wu} and {Luiz Fernando S. Magnago} and {Maria Dornelas}
      and {David Zeleny} and {Robert K. Colwell} and {Anne E.
      Magurran}},
    journal = {Ecological Monographs},
    year = {2023},
    month = {11},
    volume = {93},
    issue = {4},
    doi = {10.1002/ecm.1588},
  }