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arxiv: 2604.21013 · v1 · submitted 2026-04-22 · 🌌 astro-ph.HE · gr-qc

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Archival Multiband Gravitational-Wave Signals from Massive Black Hole Binary Mergers

Alexander W. Criswell , Stephen R. Taylor , Kris Pardo , Alberto Sesana , David Izquierdo , Silvia Bonoli , Daniele Spinoso
Authors on Pith no claims yet

Pith reviewed 2026-05-09 23:10 UTC · model grok-4.3

classification 🌌 astro-ph.HE gr-qc
keywords massive black hole binariespulsar timing arraysgravitational wavesmultiband signalspulsar termarchival searchLISAastrometry
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0 comments X

The pith

Massive black hole binary mergers imprint detectable low-frequency signals in pulsar timing array data through their pulsar terms, even when the merger itself occurs at higher frequencies.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The paper shows that massive black hole binaries merging at frequencies outside the sensitivity range of pulsar timing arrays still produce orphaned low-frequency gravitational wave contributions in the pulsar term of the PTA signal. This happens because the light travel time from distant pulsars to Earth means the pulsar term records the wave at an earlier stage of the merger's chirp. The authors detail how these signals appear in a full PTA, propose stacking them across the array based on direction and source properties, and explore using them for archival multiband detections alongside observations from astrometry or LISA.

Core claim

Massive black hole binary mergers leave orphaned low-frequency contributions in the PTA pulsar term due to light-propagation delays, allowing the pulsar term to serve as a time-delayed probe of the chirping merger with a frequency response set by the source direction and intrinsic properties. This enables stacking across the array for potential detection in archival data.

What carries the argument

The pulsar term in PTA observations, which captures a time-delayed version of the gravitational wave signal from the MBHB merger.

Load-bearing premise

The direction-dependent frequency response and intrinsic properties of the MBHB allow the orphaned pulsar-term signals to be stacked across the array with sufficient signal-to-noise without being overwhelmed by noise or other effects.

What would settle it

No detectable stacked signal appears in PTA data for times corresponding to MBHB mergers observed by LISA or in astrometric surveys.

read the original abstract

While massive black hole binaries (MBHBs) merge at gravitational-wave frequencies above the pulsar timing array (PTA) sensitivity band, we show that they leave orphaned low-frequency contributions in the PTA pulsar term. Due to the light-propagation time between each pulsar in the array and Earth, the pulsar term acts as a time-delayed probe of a chirping merger with a specific frequency response determined by the direction of origin and intrinsic properties of the MBHB. We provide a detailed consideration of how such a multiband signal would manifest in a full PTA, demonstrate an approach to stack these orphaned pulsar terms across the array, and discuss prospects for an archival, multiband search in conjunction with MBHB mergers observed in astrometric data or spaceborne interferometers like LISA.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 2 minor

Summary. The paper claims that massive black hole binary (MBHB) mergers occurring at gravitational-wave frequencies above the pulsar timing array (PTA) sensitivity band leave behind orphaned low-frequency signals in the PTA pulsar terms. These arise because the finite light-travel time between Earth and each pulsar turns the pulsar term into a time-delayed probe of the chirping source, with a frequency response that depends on the source sky position (via the pulsar-Earth vector) and the binary's intrinsic evolution. The authors outline how such multiband signals would appear in a full PTA, present an approach to stack the pulsar-term contributions across the array, and discuss prospects for archival searches in conjunction with MBHB detections from LISA or astrometric observations.

Significance. If the stacking procedure can be shown to yield net SNR gain, the work would enable a new form of multiband gravitational-wave astronomy in which PTAs recover archival low-frequency information from MBHBs observed at higher frequencies by space-based detectors. The approach rests on standard light-travel-time geometry without introducing free parameters or circular definitions, and it could provide an independent consistency check on merger parameters.

major comments (2)
  1. [Stacking approach demonstration] The demonstration of the stacking approach (described after the conceptual framework for the pulsar-term response) does not propagate realistic localization uncertainties from LISA or astrometry into the alignment of the direction-dependent frequency responses. Small errors in sky position or merger epoch shift the instantaneous frequency and phase differently for each pulsar, risking destructive interference that could eliminate the claimed coherent gain.
  2. [Prospects discussion and abstract] No explicit derivations of the frequency response, end-to-end simulations of the PTA timing residuals, or signal-to-noise ratio estimates for the stacked signal are provided. The central claim that the orphaned pulsar-term contributions can be detected therefore lacks quantitative support, leaving the feasibility assessment conceptual rather than demonstrated.
minor comments (2)
  1. [Abstract] Clarify in the abstract and early sections whether the Earth term is assumed to be subtracted or negligible for the orphaned low-frequency component.
  2. [Introduction] Add a brief comparison to existing PTA searches for continuous waves or bursts to place the proposed archival multiband method in context.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful and constructive review of our manuscript. The major comments identify key areas where additional quantitative support would strengthen the presentation of the stacking approach and detection prospects. We address each point below and commit to revisions that incorporate the suggested analyses.

read point-by-point responses

  1. Referee: [Stacking approach demonstration] The demonstration of the stacking approach (described after the conceptual framework for the pulsar-term response) does not propagate realistic localization uncertainties from LISA or astrometry into the alignment of the direction-dependent frequency responses. Small errors in sky position or merger epoch shift the instantaneous frequency and phase differently for each pulsar, risking destructive interference that could eliminate the claimed coherent gain.

    Authors: We agree that a thorough demonstration of the stacking procedure requires accounting for realistic localization uncertainties. The current demonstration assumes perfect knowledge of source parameters to illustrate the coherent stacking principle in principle. In the revised manuscript we will add an analysis that propagates uncertainties in sky position and merger epoch (drawn from LISA or astrometric error budgets) into the phase and frequency alignment for each pulsar. This will include both analytic estimates of SNR degradation and numerical examples showing the impact on coherent gain, together with a brief discussion of mitigation approaches such as marginalization or broadened search windows. revision: yes

  2. Referee: [Prospects discussion and abstract] No explicit derivations of the frequency response, end-to-end simulations of the PTA timing residuals, or signal-to-noise ratio estimates for the stacked signal are provided. The central claim that the orphaned pulsar-term contributions can be detected therefore lacks quantitative support, leaving the feasibility assessment conceptual rather than demonstrated.

    Authors: The manuscript establishes the conceptual framework and outlines the stacking method, including the direction-dependent frequency response arising from light-travel-time geometry. We acknowledge, however, that explicit derivations, end-to-end simulations of timing residuals, and quantitative SNR estimates are not provided, leaving the detection prospects at a conceptual level. We will revise the paper to include (i) explicit derivations of the frequency response in the main text or an appendix, (ii) simplified end-to-end simulations of PTA timing residuals for a representative subset of pulsars, and (iii) preliminary SNR estimates for the stacked signal under idealized conditions. These additions will supply the quantitative support needed to assess feasibility. revision: yes

Circularity Check

0 steps flagged

No circularity in derivation chain

full rationale

The paper's core result follows from the geometry of PTA observations: light-travel delays between Earth and each pulsar create a time-delayed probe of a chirping MBHB, producing orphaned low-frequency signals whose direction-dependent frequency response is fixed by the pulsar-Earth vector and the binary's intrinsic evolution. The demonstration of a stacking approach across the array is presented as a direct consequence of these established principles rather than a fitted parameter or self-referential definition. No self-citation load-bearing steps, uniqueness theorems imported from prior work, or ansatzes smuggled via citation appear in the derivation; the claim remains self-contained against external benchmarks of PTA signal modeling.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The claim rests on standard PTA signal propagation physics and the assumption that MBHB mergers produce chirping waveforms whose high-frequency part is above the PTA band. No free parameters, new entities, or ad-hoc axioms are introduced in the abstract.

axioms (2)
  • domain assumption Pulsar timing arrays measure gravitational-wave-induced timing residuals via the difference between Earth term and pulsar term.
    Standard framework in PTA gravitational-wave searches.
  • domain assumption Light travel time from pulsar to Earth creates a delayed response to the same gravitational-wave event.
    Geometric consequence of finite speed of light and pulsar distances.

pith-pipeline@v0.9.0 · 5453 in / 1358 out tokens · 25771 ms · 2026-05-09T23:10:09.889301+00:00 · methodology

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Forward citations

Cited by 1 Pith paper

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Reference graph

Works this paper leans on

164 extracted references · 153 canonical work pages · cited by 1 Pith paper · 8 internal anchors

  1. [1]

    , keywords =

    Orbital Evolution of Equal-mass Eccentric Binaries due to a Gas Disk: Eccentric Inspirals and Circular Outspirals. , keywords =. doi:10.3847/2041-8213/ac0621 , archivePrefix =. 2103.09251 , primaryClass =

    work page doi:10.3847/2041-8213/ac0621 2041

  2. [2]

    2023, MNRAS, 522, 2707, doi:10.1093/mnras/stad1131

    Orbital evolution of binaries in circumbinary discs. , keywords =. doi:10.1093/mnras/stad1131 , archivePrefix =. 2302.01785 , primaryClass =

    work page doi:10.1093/mnras/stad1131

  3. [3]

    , keywords =

    Lighting up the nanohertz gravitational wave sky: Opportunities and challenges of multimessenger astronomy with pulsar timing array experiments. , keywords =. doi:10.1051/0004-6361/202554846 , archivePrefix =. 2504.01074 , primaryClass =

    work page doi:10.1051/0004-6361/202554846

  4. [4]

    , keywords =

    Identifying the Host Galaxies of Supermassive Black Hole Binaries Found by Pulsar Timing Arrays. , keywords =. doi:10.3847/1538-4357/ad7b14 , archivePrefix =. 2406.04409 , primaryClass =

    work page doi:10.3847/1538-4357/ad7b14

  5. [5]

    arXiv e-prints , keywords =

    The Era of Binary Supermassive Black Holes: Coordination of Nanohertz-Frequency Gravitational-Wave Follow-up. arXiv e-prints , keywords =. doi:10.48550/arXiv.2512.15911 , archivePrefix =. 2512.15911 , primaryClass =

    work page doi:10.48550/arxiv.2512.15911

  6. [6]

    arXiv e-prints , keywords =

    Multi-messenger Analysis of Supermassive Black Hole Binaries: The Joint-likelihood Approach. arXiv e-prints , keywords =. doi:10.48550/arXiv.2510.08683 , archivePrefix =. 2510.08683 , primaryClass =

    work page doi:10.48550/arxiv.2510.08683

  7. [7]

    , keywords =

    The Host Galaxies of Pulsar Timing Array Sources: Converting Supermassive Black Hole Binary Parameters into Electromagnetic Observables. , keywords =. doi:10.3847/1538-4357/adf065 , archivePrefix =. 2505.11598 , primaryClass =

    work page doi:10.3847/1538-4357/adf065

  8. [8]

    Classical and Quantum Gravity , keywords =

    Host galaxy demographics of individually detectable supermassive black-hole binaries with pulsar timing arrays. Classical and Quantum Gravity , keywords =. doi:10.1088/1361-6382/ad9131 , archivePrefix =. 2407.01659 , primaryClass =

    work page doi:10.1088/1361-6382/ad9131

  9. [9]

    American Astronomical Society Meeting Abstracts \#241 , year = 2023, series =

    Creating a New International Pulsar Timing Array Dataset. American Astronomical Society Meeting Abstracts \#241 , year = 2023, series =

    2023

  10. [10]

    , keywords =

    Efficient Large-Scale, Targeted Gravitational-Wave Probes of Supermassive Black-Hole Binaries. , keywords =. doi:10.1103/PhysRevLett.132.061401 , archivePrefix =. 2304.03786 , primaryClass =

    work page doi:10.1103/physrevlett.132.061401

  11. [11]

    , keywords =

    Multi-messenger Approaches to Supermassive Black Hole Binary Detection and Parameter Estimation: Implications for Nanohertz Gravitational Wave Searches with Pulsar Timing Arrays. , keywords =. doi:10.3847/1538-4357/ac1da9 , archivePrefix =. 2105.08087 , primaryClass =

    work page doi:10.3847/1538-4357/ac1da9

  12. [12]

    Multi-messenger Approaches to Supermassive Black Hole Binary Detection and Parameter Estimation. II. Optimal Strategies for a Pulsar Timing Array. , keywords =. doi:10.3847/1538-4357/acb492 , archivePrefix =. 2301.07135 , primaryClass =

    work page doi:10.3847/1538-4357/acb492

  13. [13]

    arXiv e-prints , keywords =

    Inference on inner galaxy structure via gravitational waves from supermassive binaries. arXiv e-prints , keywords =. doi:10.48550/arXiv.2411.05906 , archivePrefix =. 2411.05906 , primaryClass =

    work page doi:10.48550/arxiv.2411.05906

  14. [14]

    M., et al

    Agazie, Gabriella and others. The NANOGrav 15 yr Data Set: Evidence for a Gravitational-wave Background. Astrophys. J. Lett. 2023. doi:10.3847/2041-8213/acdac6. arXiv:2306.16213

    work page doi:10.3847/2041-8213/acdac6 2023

  15. [16]

    doi:10.1111/j.1365-2966.2009.15598.x , archivePrefix =

    Gravitational waves from resolvable massive black hole binary systems and observations with Pulsar Timing Arrays. , keywords =. doi:10.1111/j.1365-2966.2009.14499.x , archivePrefix =. 0809.3412 , primaryClass =

    work page doi:10.1111/j.1365-2966.2009.14499.x 2009

  16. [17]

    Classical and Quantum Gravity , keywords =

    A Bayesian analysis pipeline for continuous GW sources in the PTA band. Classical and Quantum Gravity , keywords =. doi:10.1088/0264-9381/30/22/224004 , archivePrefix =. 1305.0835 , primaryClass =

    work page doi:10.1088/0264-9381/30/22/224004

  17. [18]

    , keywords =

    Optimal Strategies for Continuous Gravitational Wave Detection in Pulsar Timing Arrays. , keywords =. doi:10.1088/0004-637X/756/2/175 , archivePrefix =. 1204.4218 , primaryClass =

    work page doi:10.1088/0004-637x/756/2/175

  18. [19]

    , keywords =

    Accelerated Bayesian model-selection and parameter-estimation in continuous gravitational-wave searches with pulsar-timing arrays. , keywords =. doi:10.1103/PhysRevD.90.104028 , archivePrefix =. 1406.5224 , primaryClass =

    work page doi:10.1103/physrevd.90.104028

  19. [20]

    , keywords =

    Detecting Eccentric Supermassive Black Hole Binaries with Pulsar Timing Arrays: Resolvable Source Strategies. , keywords =. doi:10.3847/0004-637X/817/1/70 , archivePrefix =. 1505.06208 , primaryClass =

    work page doi:10.3847/0004-637x/817/1/70

  20. [21]

    Corbin and N

    Pulsar Timing Array Observations of Massive Black Hole Binaries. arXiv e-prints , keywords =. doi:10.48550/arXiv.1008.1782 , archivePrefix =. 1008.1782 , primaryClass =

    work page doi:10.48550/arxiv.1008.1782

  21. [22]

    , keywords =

    Neural networks unveiling the properties of gravitational wave background from supermassive black hole binaries. , keywords =. doi:10.1051/0004-6361/202348433 , archivePrefix =. 2311.04276 , primaryClass =

    work page doi:10.1051/0004-6361/202348433

  22. [23]

    , keywords =

    Deep Neural Emulation of the Supermassive Black Hole Binary Population. , keywords =. doi:10.3847/1538-4357/adb4ef , archivePrefix =. 2411.10519 , primaryClass =

    work page doi:10.3847/1538-4357/adb4ef

  23. [24]

    arXiv e-prints , keywords =

    Multimessenger Probes of the Supermassive Black Hole Binary Population: The Role of Pulsar Timing Arrays. arXiv e-prints , keywords =. doi:10.48550/arXiv.2512.11981 , archivePrefix =. 2512.11981 , primaryClass =

    work page doi:10.48550/arxiv.2512.11981

  24. [25]

    , keywords =

    Probing the assembly history and dynamical evolution of massive black hole binaries with pulsar timing arrays. , keywords =. doi:10.1093/mnras/stx475 , archivePrefix =. 1612.02826 , primaryClass =

    work page doi:10.1093/mnras/stx475

  25. [26]

    , keywords =

    Constraining astrophysical observables of galaxy and supermassive black hole binary mergers using pulsar timing arrays. , keywords =. doi:10.1093/mnras/stz1722 , archivePrefix =. 1810.04184 , primaryClass =

    work page doi:10.1093/mnras/stz1722

  26. [27]

    , keywords =

    Constraints on the Dynamical Environments of Supermassive Black-Hole Binaries Using Pulsar-Timing Arrays. , keywords =. doi:10.1103/PhysRevLett.118.181102 , archivePrefix =. 1612.02817 , primaryClass =

    work page doi:10.1103/physrevlett.118.181102

  27. [28]

    2025, A&A, 703, A86, doi: 10.1051/0004-6361/202556035

    Realistic consecutive galaxy mergers form eccentric pulsar timing array sources. , keywords =. doi:10.1051/0004-6361/202556035 , archivePrefix =. 2506.16539 , primaryClass =

    work page doi:10.1051/0004-6361/202556035

  28. [29]

    arXiv e-prints , keywords =

    Dissecting the nanoHz gravitational wave sky: frequency-correlated anisotropy induced by eccentric supermassive black hole binaries. arXiv e-prints , keywords =. doi:10.48550/arXiv.2506.14882 , archivePrefix =. 2506.14882 , primaryClass =

    work page doi:10.48550/arxiv.2506.14882

  29. [30]

    , keywords =

    Resolving the nano-hertz gravitational wave sky: The detectability of eccentric binaries with PTA experiments. , keywords =. doi:10.1051/0004-6361/202451556 , archivePrefix =. 2407.12078 , primaryClass =

    work page doi:10.1051/0004-6361/202451556

  30. [31]

    , keywords =

    From eccentric binaries to nonstationary gravitational wave backgrounds. , keywords =. doi:10.1103/PhysRevD.111.023047 , archivePrefix =. 2412.01899 , primaryClass =

    work page doi:10.1103/physrevd.111.023047

  31. [32]

    , keywords =

    Eccentricity evolution of PTA sources from cosmological initial conditions. , keywords =. doi:10.1093/mnras/stae1411 , archivePrefix =. 2406.02710 , primaryClass =

    work page doi:10.1093/mnras/stae1411

  32. [33]

    , archivePrefix = "arXiv", eprint =

    Limiting eccentricity of subparsec massive black hole binaries surrounded by self-gravitating gas discs. , keywords =. doi:10.1111/j.1365-2966.2011.18927.x , archivePrefix =. 1104.3868 , primaryClass =

    work page doi:10.1111/j.1365-2966.2011.18927.x 2011

  33. [34]

    Two-Dimensional Pulsar Distance Inference from Nanohertz Gravitational Waves

    Xiao, Si-Ren and Song, Ji-Yu and Shao, Yue and Wang, Ling-Feng and Zhang, Jing-Fei and Zhang, Xin. Two-Dimensional Pulsar Distance Inference from Nanohertz Gravitational Waves. 2025. arXiv:2512.10729

    work page arXiv 2025

  34. [35]

    2026, PhRvD, 113, 022001, doi: 10.1103/4fyl-fzt8

    Kato, Ryo and Takahashi, Keitaro. Realistic assessment of a single gravitational wave source localization taking into account precise pulsar distances with pulsar timing arrays. Phys. Rev. D. 2026. doi:10.1103/4fyl-fzt8. arXiv:2506.02819

    work page doi:10.1103/4fyl-fzt8 2026

  35. [36]

    Subparsec precision measurement of pulsar distances with nanohertz gravitational waves

    Yu, Jiming and Pan, Zhen. Subparsec precision measurement of pulsar distances with nanohertz gravitational waves. Phys. Rev. D. 2025. doi:10.1103/x7rc-w1y4. arXiv:2503.23017

    work page doi:10.1103/x7rc-w1y4 2025

  36. [37]

    Reaching diffraction-limited localization with coherent PTAs

    Reaching diffraction-limited localization with coherent PTAs. arXiv e-prints , keywords =. doi:10.48550/arXiv.2512.10795 , archivePrefix =. 2512.10795 , primaryClass =

    work page internal anchor Pith review doi:10.48550/arxiv.2512.10795

  37. [38]

    , keywords =

    Rapid inference for individual binaries and a stochastic background with pulsar timing array data. , keywords =. doi:10.1103/5xh1-kgtk , archivePrefix =. 2412.13379 , primaryClass =

    work page doi:10.1103/5xh1-kgtk

  38. [39]

    , keywords =

    Fast Bayesian analysis of individual binaries in pulsar timing array data. , keywords =. doi:10.1103/PhysRevD.105.122003 , archivePrefix =. 2204.07160 , primaryClass =

    work page doi:10.1103/physrevd.105.122003

  39. [40]

    , keywords =

    Core condensation in heavy halos - A two-stage theory for galaxy formation and clustering. , keywords =. doi:10.1093/mnras/183.3.341 , adsurl =

    work page doi:10.1093/mnras/183.3.341

  40. [41]

    , keywords =

    Galaxy formation through hierarchical clustering. , keywords =. doi:10.1086/170483 , adsurl =

    work page doi:10.1086/170483

  41. [42]

    C., Blandford, R

    Massive black hole binaries in active galactic nuclei. , keywords =. doi:10.1038/287307a0 , adsurl =

    work page doi:10.1038/287307a0

  42. [43]

    Interaction of Massive Black Hole Binaries with Their Stellar Environment. I. Ejection of Hypervelocity Stars. , keywords =. doi:10.1086/507596 , archivePrefix =. astro-ph/0604299 , primaryClass =

    work page doi:10.1086/507596

  43. [44]

    Self-consistent N-body integrations

    The dynamical evolution of massive black hole binaries II. Self-consistent N-body integrations. , keywords =. 1997. doi:10.1016/S1384-1076(97)00039-0 , archivePrefix =. astro-ph/9706298 , primaryClass =

    work page doi:10.1016/s1384-1076(97)00039-0 1997

  44. [45]

    Dynamical Friction. I. General Considerations: the Coefficient of Dynamical Friction. , year = 1943, month = mar, volume = 97, pages =. doi:10.1086/144517 , adsurl =

    work page doi:10.1086/144517 1943

  45. [46]

    R., Knigge, C., Drew, J

    Supermassive black hole binaries in gaseous and stellar circumnuclear discs: orbital dynamics and gas accretion. , eprint =. doi:10.1111/j.1365-2966.2007.12010.x , adsurl =

    work page doi:10.1111/j.1365-2966.2007.12010.x 2007

  46. [47]

    The Role of Gas in the Merging of Massive Black Holes in Galactic Nuclei. II. Black Hole Merging in a Nuclear Gas Disk. , keywords =. 2005. doi:10.1086/431747 , archivePrefix =. astro-ph/0406304 , primaryClass =

    work page doi:10.1086/431747 2005

  47. [48]

    and Wilkinson, M

    Massive black hole binary mergers within subparsec scale gas discs. , keywords =. 2009. doi:10.1111/j.1365-2966.2008.14147.x , archivePrefix =. 0809.0311 , primaryClass =

    work page doi:10.1111/j.1365-2966.2008.14147.x 2009

  48. [49]

    , keywords =

    Circumbinary disc self-gravity governing supermassive black hole binary mergers. , keywords =. doi:10.1093/mnras/stab2234 , archivePrefix =. 2106.13253 , primaryClass =

    work page doi:10.1093/mnras/stab2234

  49. [50]

    J., Djorgovski, S

    A possible close supermassive black-hole binary in a quasar with optical periodicity. , keywords =. doi:10.1038/nature14143 , archivePrefix =. 1501.01375 , primaryClass =

    work page doi:10.1038/nature14143

  50. [51]

    , keywords =

    Repeated Imaging of Massive Black Hole Binary Orbits with Millimeter Interferometry: Measuring Black Hole Masses and the Hubble Constant. , keywords =. doi:10.3847/1538-4357/aad413 , archivePrefix =. 1712.02362 , primaryClass =

    work page doi:10.3847/1538-4357/aad413

  51. [52]

    Observational Signatures of Supermassive Black Hole Binaries,

    Observational Signatures of Supermassive Black Hole Binaries. arXiv e-prints , keywords =. doi:10.48550/arXiv.2310.16896 , archivePrefix =. 2310.16896 , primaryClass =

    work page doi:10.48550/arxiv.2310.16896

  52. [53]

    , keywords =

    The quest for dual and binary supermassive black holes: A multi-messenger view. , keywords =. doi:10.1016/j.newar.2020.101525 , archivePrefix =. 2001.06293 , primaryClass =

    work page doi:10.1016/j.newar.2020.101525 2020

  53. [54]

    , xjournal =

    Luo, Di and Jiang, Ning and Liu, Xin , title =. , xjournal =. 2024 , month =. doi:10.3847/1538-4357/ad9245 , url =

    work page doi:10.3847/1538-4357/ad9245 2024

  54. [55]

    Properties of the X-ray selected candidates

    Searching for supermassive black hole binaries within SRG/eROSITA-De: I. Properties of the X-ray selected candidates. , keywords =. doi:10.1051/0004-6361/202554749 , archivePrefix =. 2505.02708 , primaryClass =

    work page doi:10.1051/0004-6361/202554749

  55. [56]

    2025, arXiv e-prints, arXiv:2512.13688, doi: 10.48550/arXiv.2512.13688

    Identification of periodicities with arbitrary shapes in AGN light curves. arXiv e-prints , keywords =. doi:10.48550/arXiv.2512.13688 , archivePrefix =. 2512.13688 , primaryClass =

    work page doi:10.48550/arxiv.2512.13688

  56. [57]

    Presentation of the Data and Detailed Exploration of the Binary Supermassive Black Hole Scenario

    The Tantalizing Case of the Quasar J0950+5128 -- I. Presentation of the Data and Detailed Exploration of the Binary Supermassive Black Hole Scenario. arXiv e-prints , keywords =. doi:10.48550/arXiv.2505.06221 , archivePrefix =. 2505.06221 , primaryClass =

    work page doi:10.48550/arxiv.2505.06221

  57. [58]

    , keywords =

    Astrometric effects of a stochastic gravitational wave background. , keywords =. doi:10.1103/PhysRevD.83.024024 , archivePrefix =. 1009.4192 , primaryClass =

    work page doi:10.1103/physrevd.83.024024

  58. [59]

    , keywords =

    Astrometric Search Method for Individually Resolvable Gravitational Wave Sources with Gaia. , keywords =. doi:10.1103/PhysRevLett.119.261102 , archivePrefix =. 1707.06239 , primaryClass =

    work page doi:10.1103/physrevlett.119.261102

  59. [60]

    Classical and Quantum Gravity , keywords =

    Gaia-like astrometry and gravitational waves. Classical and Quantum Gravity , keywords =. doi:10.1088/1361-6382/aa9f57 , archivePrefix =. 1710.11474 , primaryClass =

    work page doi:10.1088/1361-6382/aa9f57

  60. [61]

    arXiv e-prints , keywords =

    Gravitational Wave Detection with Relative Astrometry using Roman's Galactic Bulge Time Domain Survey. arXiv e-prints , keywords =. doi:10.48550/arXiv.2306.14968 , archivePrefix =. 2306.14968 , primaryClass =

    work page doi:10.48550/arxiv.2306.14968

  61. [62]

    , keywords =

    Gravitational wave detection with photometric surveys. , keywords =. doi:10.1103/PhysRevD.103.084007 , archivePrefix =. 2010.02218 , primaryClass =

    work page doi:10.1103/physrevd.103.084007 2010

  62. [63]

    , keywords =

    Constraining the stochastic gravitational wave background with photometric surveys. , keywords =. doi:10.1103/PhysRevD.106.084006 , archivePrefix =. 2205.07962 , primaryClass =

    work page doi:10.1103/physrevd.106.084006

  63. [64]

    , keywords =

    A New Approach to the Low-frequency Stochastic Gravitational-wave Background: Constraints from Quasars and the Astrometric Hellings Downs Curve. , keywords =. doi:10.3847/2041-8213/adbf0d , archivePrefix =. 2412.08605 , primaryClass =

    work page doi:10.3847/2041-8213/adbf0d 2041

  64. [65]

    , keywords =

    Fast Bayesian method for coherent gravitational wave searches with relative astrometry. , keywords =. doi:10.1103/qzys-t232 , archivePrefix =. 2506.19206 , primaryClass =

    work page doi:10.1103/qzys-t232

  65. [66]

    Auxiliary

    ". arXiv e-prints , author =. 2019 , note =. doi:10.48550/ARXIV.1903.08986 , abstract =

    work page doi:10.48550/arxiv.1903.08986 2019

  66. [67]

    Roman White Papers - 2023 , author =

    The. Roman White Papers - 2023 , author =

    2023

  67. [68]

    Kepler Planet-Detection Mission: Introduction and First Results.Science2010,327, 977

    Kepler Planet-Detection Mission: Introduction and First Results. Science , keywords =. doi:10.1126/science.1185402 , adsurl =

    work page doi:10.1126/science.1185402

  68. [69]

    arXiv e-prints , keywords =

    Roman Observations Time Allocation Committee: Final Report and Recommendations. arXiv e-prints , keywords =. doi:10.48550/arXiv.2505.10574 , archivePrefix =. 2505.10574 , primaryClass =

    work page doi:10.48550/arxiv.2505.10574

  69. [70]

    , keywords =

    Observing the Dynamics of Supermassive Black Hole Binaries with Pulsar Timing Arrays. , keywords =. doi:10.1103/PhysRevLett.109.081104 , archivePrefix =. 1207.5645 , primaryClass =

    work page doi:10.1103/physrevlett.109.081104

  70. [71]

    , year = 2010, month = aug, keywords =

    Corbin, Vincent and Cornish, Neil J. , year = 2010, month = aug, keywords =. Pulsar. arXiv eprint , file =

    2010

  71. [72]

    and Lommen, Andrea and Larson, Shane L

    Jenet, Fredrick A. and Lommen, Andrea and Larson, Shane L. and Wen, Linqing , year = 2004, month = may, journal =. Constraining the. doi:10.1086/383020 , urldate =

    work page doi:10.1086/383020 2004

  72. [73]

    2010, PhRvD, 81, 104008, doi: 10.1103/PhysRevD.81.104008

    Measuring the Parameters of Massive Black Hole Binary Systems with Pulsar Timing Array Observations of Gravitational Waves , author =. Physical Review D , volume =. doi:10.1103/PhysRevD.81.104008 , urldate =

    work page doi:10.1103/physrevd.81.104008

  73. [74]

    The Astropy Project: Sustaining and Growing a Community-oriented Open-source Project and the Latest Major Release (v5.0) of the Core Package

    The. The Astrophysical Journal , volume =. doi:10.3847/1538-4357/ac7c74 , urldate =

    work page internal anchor Pith review doi:10.3847/1538-4357/ac7c74

  74. [75]

    2021, MNRAS, 507, 5451, doi: 10.1093/mnras/stab2479

    Banagiri, Sharan and Criswell, Alexander and Kuan, Tommy and Mandic, Vuk and Romano, Joseph D and Taylor, Stephen R , year = 2021, month = nov, journal =. Mapping the Gravitational-Wave Sky with. doi:10.1093/mnras/stab2479 , urldate =

    work page doi:10.1093/mnras/stab2479 2021

  75. [76]

    Bradbury, James and Frostig, Roy and Hawkins, Peter and Johnson, Matthew James and Leary, Chris and Maclaurin, Dougal and Necula, George and Paszke, Adam and VanderPlas, Jake and

  76. [77]

    and Rieck, Steven and Mandic, Vuk , year = 2025, month = jan, journal =

    Criswell, Alexander W. and Rieck, Steven and Mandic, Vuk , year = 2025, month = jan, journal =. Templated Anisotropic Analyses of the. doi:10.1103/PhysRevD.111.023025 , urldate =

    work page doi:10.1103/physrevd.111.023025 2025

  77. [78]

    2016, The Journal of Open Source Software, 1, 24, doi: 10.21105/joss.00024

    Corner.Py:. Journal of Open Source Software , volume =. doi:10.21105/joss.00024 , urldate =

    work page doi:10.21105/joss.00024

  78. [79]

    M., Hivon , E., Banday , A

    G. The Astrophysical Journal , volume =. doi:10.1086/427976 , urldate =

    work page internal anchor Pith review doi:10.1086/427976

  79. [80]

    and Millman, K

    Harris, Charles R. and Millman, K. Jarrod and. Array Programming with. Nature , volume =

  80. [81]

    Hunter, J. D. , year = 2007, journal =. Matplotlib:. doi:10.1109/MCSE.2007.55 , abstract =

    work page doi:10.1109/mcse.2007.55 2007

Showing first 80 references.