Citing pybhpt#

If you make use of pybhpt, we request that you cite the Github package and accompanying papers using CITATION.cff or using the bib entries provided below.

@software{Nasipak_pybhpt_2026,
    author = {Nasipak, Zachary},
    license = {GPL-3.0},
    month = sep,
    title = {{pybhpt}},
    url = {https://github.com/znasipak/pybhpt},
    doi = {10.5281/zenodo.18317623},
    version = {v1.0.0},
    year = {2026}
}
@article{Nasipak:2025tby,
    author = "Nasipak, Zachary",
    title = "{Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit}",
    eprint = "2507.07746",
    archivePrefix = "arXiv",
    primaryClass = "gr-qc",
    doi = "10.1103/7zkx-vbg9",
    journal = "Phys. Rev. D",
    volume = "113",
    number = "12",
    pages = "124051",
    year = "2026"
}
@article{Nasipak:2022xjh,
    author = "Nasipak, Zachary",
    title = "{Adiabatic evolution due to the conservative scalar self-force during orbital resonances}",
    eprint = "2207.02224",
    archivePrefix = "arXiv",
    primaryClass = "gr-qc",
    doi = "10.1103/PhysRevD.106.064042",
    journal = "Phys. Rev. D",
    volume = "106",
    number = "6",
    pages = "064042",
    year = "2022"
}

In particular, in addition to citing the numerical codebase itself, if you use the code for gravitational calculations, we request that you cite Ref. \cite{Nasipak:2025tby}, which was the first article to outline the algorithms and generic computations of gravitational perturbations within the pybhpt codebase. For scalar calculations, we request you cite either Ref. \cite{Nasipak:2025tby} or the work of earlier Ref. \cite{Nasipak:2022xjh}, which focused purely on the scalar field implementation.

References#

Theoretical background for the code and explanations of the numerical methods used within are summarized in the references below:

Authors#

Zachary Nasipak

Contributors#

Zachary Nasipak

Christian Chapman-Bird

Contributions have also been made by Github Copilot and Anthropic’s Claude as part of code review processes.

Works that cite pybhpt#

[13] Chen, Changkai; Cao, Zhoujian; Jing, Jiliang, Efficient and stable computation of gravitational-wave fluxes from generic Kerr orbits via a unified Heun-function framework, Sep 2026, arXiv:2605.09250, DOI:10.1103/nngm-dhpl

[12] Yang, Yang; Lui, Leif; Torres-Orjuela, Alejandro; Chen, Xian, Relativistic tidal dissipation and the gravitational-wave signal of a white dwarf orbiting an intermediate-mass black hole, Jul 2026, arXiv:2602.22688, DOI:10.1103/r5gt-f241

[11] Yin, Yucheng; Lo, Rico K. L.; Chen, Xian, Gravitational radiation from Kerr black holes using the Sasaki-Nakamura formalism: Waveforms and fluxes at infinity, Jun 2026, arXiv:2511.08673, DOI:10.1103/9ngz-k1lr

[10] Trestini, David; Nasipak, Zachary; Pound, Adam, Constants of motion in gravitational self-force theory, Jun 2026, arXiv:2601.05223, DOI:10.1103/5qb1-9f7c

[9] Nasipak, Zachary, Metric reconstruction and the Hamiltonian for eccentric, precessing binaries in the small-mass-ratio limit, Jun 2026, arXiv:2507.07746, DOI:10.1103/7zkx-vbg9

[8] Han, Wen-Biao, Long-Lived Ringing of Near-Extremal Kerr Black Holes Resonantly Driven by Extreme-Mass-Ratio Inspirals, Jun 2026, arXiv:2606.17883, DOI:10.48550/arXiv.2606.17883

[7] Lui, Leif; Drummond, Lisa V.; Torres-Orjuela, Alejandro, Pitching Cosmic Curveballs: Environmental Effects on Extreme-Mass-Ratio Inspirals with Spinning Secondaries, Jun 2026, arXiv:2606.01569, DOI:10.48550/arXiv.2606.01569

[6] Duque, Francisco; Sberna, Laura; Spiers, Andrew; Vicente, Rodrigo, Extreme-mass-ratio inspirals in relativistic accretion discs, Apr 2026, arXiv:2510.02433, DOI:10.1103/jcv5-ssfd

[5] Lo, Rico K. L.; Yin, Yucheng, Near-horizon gravitational perturbations of rotating black holes, Mar 2026, arXiv:2512.07937, DOI:10.1103/bljh-l413

[4] Chapman-Bird, Christian E. A.; Speri, Lorenzo; Nasipak, Zachary; Burke, Ollie; Katz, Michael L.; Santini, Alessandro; Kejriwal, Shubham; Lynch, Philip; Mathews, Josh; Khalvati, Hassan; Thompson, Jonathan E.; Isoyama, Soichiro; Hughes, Scott A.; Warburton, Niels; Chua, Alvin J. K.; Pigou, Maxime, Efficient waveforms for asymmetric-mass eccentric equatorial inspirals into rapidly spinning black holes, Nov 2025, arXiv:2506.09470, DOI:10.1103/scbp-75pf

[3] Honet, Loïc; Mathews, Josh; Compère, Geoffrey; Pound, Adam; Wardell, Barry; Piovano, Gabriel Andres; van de Meent, Maarten; Warburton, Niels, Spin-aligned inspiral waveforms from self-force and post-Newtonian theory, Oct 2025, arXiv:2510.16112, DOI:10.48550/arXiv.2510.16112

[2] Khalvati, Hassan; Lynch, Philip; Burke, Ollie; Speri, Lorenzo; van de Meent, Maarten; Nasipak, Zachary, Systematic errors in fast relativistic waveforms for Extreme Mass Ratio Inspirals, Sep 2025, arXiv:2509.08875, DOI:10.48550/arXiv.2509.08875

[1] Nasipak, Zachary, Adiabatic gravitational waveform model for compact objects undergoing quasicircular inspirals into rotating massive black holes, Feb 2024, arXiv:2310.19706, DOI:10.1103/PhysRevD.109.044020