REVIEW 4 major objections 6 minor 54 references
The Milky Way's halo adds as little as 10 pc/cm^3 of dispersion toward the poles, and much more in other directions, according to new zoom-in simulations.
Reviewed by Pith at T0; open to challenge. T0 means a machine referee read the full paper against a public rubric. the ladder, T0–T4 →
Simulated Milky Way-like halos give lower, more anisotropic halo DMs (medians 19–39 pc cm^-3) than the standard YT20 model, with polar sightlines below 10 pc cm^-3.
T0 review reviewed 2026-08-01 challenge →
load-bearing objection Useful sky-dependent MW halo DM maps with a public package, but the headline numbers rest on non-converged simulations and an ad hoc disk cutout; worth refereeing with expectations of revision. the 4 major comments →
A New Model for the Milky Way Halo Dispersion Measure with the ENGAWA Simulations: Low DMs and Large Anisotropy
The pith
A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.
The reading
Core claim
The central claim is that the Milky Way halo's DM contribution is a sky-dependent distribution rather than the smooth ~40–50 pc/cm^3 screen assumed in much of the FRB literature. In the simulations, the median all-sky halo DM spans 19–39 pc/cm^3, the mean is generally lower than the analytic model, and the scatter is much larger: polar sightlines reach below 10 pc/cm^3 while some directions exceed 400 pc/cm^3. The authors trace this to resolved structure in the circumgalactic medium that smooth models miss, and they show that OVII column density does not track DM sightline by sightline — undercutting the empirical basis of earlier estimates — while H-alpha intensity does, allowing a data-dri
What carries the argument
The load-bearing tool is the ENGAWA suite: four cosmological zoom-in Milky Way-like galaxies with fixed spatial resolution in the circumgalactic medium down to 200 pc, and electron densities post-processed for photoionization. The analysis excises the galactic disk with a cylinder cut (radius 19–32 kpc, height 10 kpc) based on where the edge-on gas column falls below a fixed threshold, then ray-traces electron density from 360 solar positions at 8 kpc galactocentric radius out to the virial radius over a uniform all-sky grid. That yields a distribution of DM values for every sky pixel, from which median and 16–84% uncertainty maps are built.
Load-bearing premise
The result depends on an arbitrary cylinder cut that separates the galactic disk from the halo (radius 19–32 kpc, height 10 kpc, chosen where the simulated gas column falls below a fixed threshold), and on simulations whose highest-resolution runs have not converged; if the real Milky Way's disk–halo boundary differs, the low polar DMs and the anti-center bump would shift.
What would settle it
Take a sample of about 20 localized FRBs or pulsars at |b|>60 degrees with carefully modeled interstellar medium; if the measured halo DM along those sightlines is consistently above about 30 pc/cm^3 rather than clustering below 10 pc/cm^3, the central prediction of this model fails.
If this is right
- FRB observers should stop treating the Milky Way halo DM as a smooth constant: the correction is sky-direction dependent and comes with a 16–84% uncertainty of roughly 30–50% of the value.
- High-latitude FRB sightlines may have halo DMs below 10 pc/cm^3, which would make precise ISM modeling more important than halo modeling in those directions.
- OVII column density, the classic tracer used to calibrate halo DM, does not predict DM along a sightline in these simulations; H-alpha intensity does.
- The total halo baryon mass implied by DM is not uniquely determined by the all-sky mean DM, since CGM gas fraction and mean DM do not correlate.
- The provided Python package gives, for the first time, an uncertainty estimate for the Milky Way halo DM at any Galactic coordinate.
Where Pith is reading between the lines
- If low polar DMs hold up, earlier estimates of a high Milky Way halo baryon budget derived from DM may be overestimates; the missing baryons could be in hotter or more neutral phases that DM does not trace.
- The anti-center bump and the low-latitude behavior are tied to the specific cylinder cut chosen to separate disk from halo; a different boundary in the real Milky Way would shift these features, so the model's geometry should be tested against pulsar DM and H-alpha data.
- The DM-H-alpha correlation is a testable prediction: combining all-sky H-alpha surveys with localized FRBs at similar sightlines could validate or falsify the relation independently of the simulations.
- Because the 200 pc runs are not yet converged and tend to show even lower DMs, higher-resolution simulations may push polar values lower still, strengthening the paper's central claim.
Editorial analysis
A structured set of objections, weighed in public.
Referee Report
Summary. The paper uses the ENGAWA cosmological zoom-in simulations of four Milky Way-like galaxies to compute the DM contributed by the Galactic halo to extragalactic FRB sightlines. Electron densities are ray-traced from 360 synthetic solar positions at the solar circle, after excising a cylindrical disk region, and all-sky DM maps are produced at several fixed CGM resolutions (Default, 1 kpc, 500 pc, 200 pc). The main claims are that the median all-sky halo DM in these simulations spans about 19–39 pc cm^-3, that high-resolution runs are generally lower and more anisotropic than the analytic YT20 model, that sightlines toward the poles can have DM below 10 pc cm^-3, and that the resulting sky-dependent model, including 16–84% uncertainty maps, is made publicly available as a Python package. The paper also reports that O VII column density does not trace halo DM sightline-by-sightline, that H-alpha intensity does, and that applying the simulated H-alpha-DM relation to WHAM data yields low DM values.
Significance. If the result holds, this is a practically important advance for FRB foreground subtraction and for the Milky Way CGM baryon budget. The paper's strengths are concrete: it provides reproducible software, machine-readable polynomial coefficients, HEALPix maps, 360 solar-position realizations, and a resolution sequence. The low-DM tail and the sky-dependent scatter are plausible and qualitatively distinct from the smooth YT20 model. However, the headline numerical values rest on resolution-dependent and boundary-dependent choices, and the halo-to-halo sample is small. The central qualitative statement is defensible as a simulation prediction, but the quantitative comparison with previous models needs to be more carefully conditioned on these uncertainties.
major comments (4)
- [§5 and Table 1] The headline normalization rests on the 200 pc runs, which are explicitly not converged. Table 1 shows non-monotonic resolution trends: Au6 median DM goes 29.6 (Default), 24.9 (1 kpc), 18.9 (500 pc), 26.8 (200 pc); TNG-A goes 35.1, 28.9, 26.0, 37.2. The 200 pc medians are not an endpoint of a converged sequence, and the final model in §3.1 averages only the two 200 pc runs. Thus the '19–39 pc cm^-3' span and the 'lower than YT20' comparison are contingent on a particular non-converged resolution choice. The existence of a low-DM tail is more robust, because the 16th percentiles at 200 pc are 13.9 and 11.4 pc cm^-3, but the absolute normalization and the strength of the comparison to YT20 could shift at higher resolution. Please either provide a convergence test or explicitly frame the 200 pc values as one non-converged resolution choice and soften the abstract/conclusion claims according
- [§2 and §3.1] The disk/halo decomposition is an ad hoc cylinder cutout, and several features of the final model are artifacts of that cutout. The cutout radius is determined per simulation and resolution from the edge-on gas column falling below 3.5e21 cm^-2 (19–32 kpc), with |z|<5 kpc, and the paper acknowledges that some gaseous disk material lies outside the cylinder. More importantly, §3.1 states that the anti-center bump and the b~20 degree bump in Figure 7 are remnants of the cylinder cutout. Because the central claim is the sky anisotropy of the halo DM, the model should quantify how much of that anisotropy is imposed by the boundary rather than by CGM gas. A sensitivity test to cylinder radius and height, or an alternative boundary, is needed before the anisotropy can be interpreted as a halo property.
- [§4 and Figures 9–10] The H-alpha-based WHAM comparison is not an independent corroboration. The power-law relation log10(DM) = 0.32 log10(I_Halpha/R) + 1.93 is fitted to the same Au6 200 pc simulation that produces the DM maps, so applying it to WHAM re-inserts the simulation's assumptions, including unresolved H II regions and the cylinder cutout. The statement that the WHAM map 'corroborate[s] our prediction' (end of §4, repeated in §5) is therefore circular in the weak sense. I recommend presenting this as a consistency check rather than external validation. The O VII result in Figure 8 is likewise computed from column density, not emission measure; the authors acknowledge the comparison 'could be different' for O VII emission, which weakens the discussion that the YT20 model is brought into question.
- [§3, Table 1, and §5] All conclusions are based on four specific halos, two of which lack a 200 pc run, and all use the same TNG feedback model. The 19–39 pc cm^-3 range is the range of medians across these four halos, not a confidence interval on the Milky Way value. The small sample also makes it difficult to separate resolution effects from halo-to-halo variation, as the authors note in §5. The abstract and conclusions should be worded as simulation-specific findings and should not imply a population-level uncertainty estimate for the Milky Way.
minor comments (6)
- [Eq. (3)] The summation notation 'nX i+j≤0' appears to be a typo; presumably it should be sum over i+j≤10, with n=10. Also, the polynomial coefficients in Table 2 should state the units and domain of l and b in each term, since the large coefficients arise from using radians.
- [Abstract and Table 1] The abstract says 'median all-sky DM ... span 19–39 pc cm^-3', but Table 1 lists a median of 18.9 pc cm^-3 for Au6 at 500 pc and 39.4 pc cm^-3 for Au8 at Default. The text should clarify whether the 19–39 range refers to 200 pc runs only, high-resolution runs, or the full suite.
- [Figure 2] The caption says 'The black vertical lines (and corresponding axis labels) denote the minimum and maximum DM value' but the labels are also marked in white for the mean. This is a bit confusing; make the line styles and labels explicit.
- [Section 2] The halo mass M_200 is used but never formally defined. Give the definition (e.g., mass within the radius enclosing 200 times the critical density) and list the adopted values for the four halos.
- [Section 3.1] The polynomial fit to |l| and |b| cannot capture the north-south asymmetry shown in the residual map of Figure 6. The text acknowledges this, but users should be clearly directed to the HEALPix maps rather than the polynomial when precision matters, since the residuals can be large.
- [Section 4] For the WHAM comparison, the conversion from simulated H-alpha intensity to DM is only calibrated over 10^-2 < I_Halpha < 2 Rayleighs, but the relation is extended beyond this range in Figure 10. It would be helpful to overplot the calibration range on the WHAM histograms or otherwise indicate where the extrapolation is used.
Circularity Check
No significant circularity in headline DM values; minor model-internal Hα corroboration.
specific steps
-
other
[Section 4 (Figures 9–10); Section 5 conclusion]
"The top panel of Figure 9 ... we have fit a power law relation ... log10(DM) = 0.32×log10(IHα/R) + 1.93 ... We have used the WHAM Hα map to corroborate our prediction that the MW halo DM contribution can be very low depending on the sightline by mapping Hα intensity to halo DM statistically from our simulation to the real MW."
The Hα-to-DM calibration is fit to the same 200 pc Au6 simulation whose DM map is the paper's central prediction. Applying this simulation-derived relation to WHAM Hα and calling the resulting low DMs a 'corroboration' of the prediction is a model-internal consistency check: the predicted values are produced by a fit made from the same simulation, so they cannot independently confirm the simulation's low-DM claim. The observed Hα map adds external input, but the mapping itself is defined by the simulation, so the 'corroboration' reduces to propagating the simulation's own DM–Hα relation.
full rationale
The headline DM values (median 19–39 pc cm^-3, polar <10 pc cm^-3) are direct ray-traced integrals of electron density from the ENGAWA simulations; no parameters are fitted to reproduce YT20 or FRB data, and the comparison to YT20 is an external benchmark. The use of the companion ENGAWA papers (Lucchini et al. 2026) for the simulation suite and COLT electron densities is standard division of labor and not load-bearing self-citation. The polynomial fit in §3.1 is a compact representation of the simulated map, not a prediction test. However, §4's 'corroboration' from WHAM Hα is model-internal: the Hα–DM power law is fit to the same 200 pc Au6 simulation that produces the prediction, so applying it to WHAM does not provide independent confirmation of the low-DM result. This does not affect the main derivation, which stands on the simulation outputs. The paper's own caveat about non-converged 200 pc resolutions (§5: 'We do not see converged behavior yet with these resolutions') is a robustness/limitation issue, not a circularity.
Axiom & Free-Parameter Ledger
free parameters (5)
- Disk cutout radius =
19–32 kpc (varies by galaxy and resolution)
- Disk cutout half-height =
5 kpc
- H-alpha–DM power-law slope and intercept =
slope 0.32, intercept 1.93 (log10(DM)=0.32 log10(I_Hα/R)+1.93)
- Polynomial model order =
10
- Solar radius =
8 kpc
axioms (5)
- domain assumption The ENGAWA simulations with the IllustrisTNG feedback model produce realistic CGM electron-density distributions for the Milky Way.
- domain assumption COLT photoionization/collisional ionization equilibrium gives the correct free-electron fraction.
- ad hoc to paper Gas inside the excised cylinder would not contribute to the observed halo DM in the real Milky Way.
- domain assumption Sightline integration out to the virial radius captures all MW halo DM.
- ad hoc to paper Four halos at up to 200 pc resolution are sufficiently converged for statistical statements.
Cite this review
Pith. "Pith review of A New Model for the Milky Way Halo Dispersion Measure with the ENGAWA Simulations: Low DMs and Large Anisotropy." pith.science (2026). https://pith.science/paper/6FZQF6HW
@misc{pith2026260720601,
author = {Pith},
title = {Pith review of: A New Model for the Milky Way Halo Dispersion Measure with the ENGAWA Simulations: Low DMs and Large Anisotropy},
year = {2026},
howpublished = {\url{https://pith.science/paper/6FZQF6HW}},
note = {Machine review of arXiv:2607.20601}
}
abstract
Fast radio burst (FRB) dispersion measures (DMs) are powerful tracers of the low density universe, but interpretation is made difficult by the integrated nature of DM. In this paper, we analyze the new ENGAWA cosmological zoom-in simulation suite to constrain the DM contribution from the Milky Way (MW) halo. The ENGAWA simulations consist of four Milky Way-like galaxies with enhanced resolution in the circumgalactic medium, making them an excellent tool to probe the properties of the gaseous halo. The median all-sky DM from the galactic halos in ENGAWA span 19-39 pc cm$^{-3}$, varying even at fixed feedback strength, halo mass, and $f_\mathrm{CGM}$. These simulations show that, with enhanced circumgalactic resolution, the mean halo DM values are in general lower with more anisotropy across the sky than previous models, reaching < 10 pc cm$^{-3}$ towards the poles. Furthermore, by varying the solar position within the simulated galaxies, we have obtained an estimate of the uncertainty in DM given our location in the MW. We provide a Python package with MW halo DM values from the simulation accessible via API functions of Galactic longitude and latitude. These new, simulation-based MW halo DM estimates will provide a critical baseline for interpretations of future FRB observations and our understanding of the global gas distribution in the Universe.
Figures
Reference graph
Works this paper leans on
-
[1]
Anderson, M. E., & Bregman, J. N. 2010, ApJ, 714, 320, doi: 10.1088/0004-637X/714/1/320
-
[2]
Augustin, R., Tumlinson, J., Peeples, M. S., et al. 2025, ApJ, 993, 52, doi: 10.3847/1538-4357/ae0462
-
[3]
2016, ARA&A, 54, 529, doi: 10.1146/annurev-astro-081915-023441
Bland-Hawthorn, J., & Gerhard, O. 2016, ARA&A, 54, 529, doi: 10.1146/annurev-astro-081915-023441
-
[4]
Bregman, J. N., Anderson, M. E., Miller, M. J., et al. 2018, ApJ, 862, 3, doi: 10.3847/1538-4357/aacafe
-
[5]
2025, Nature Astronomy, 9, 1226, doi: 10.1038/s41550-025-02566-y
Connor, L., Ravi, V., Sharma, K., et al. 2025, Nature Astronomy, 9, 1226, doi: 10.1038/s41550-025-02566-y
-
[6]
Cook, A. M., Bhardwaj, M., Gaensler, B. M., et al. 2023, The Astrophysical Journal, 946, 58, doi: 10.3847/1538-4357/acbbd0
-
[7]
Cordes, J. M., & Lazio, T. J. W. 2002, arXiv e-prints, astro, doi: 10.48550/arXiv.astro-ph/0207156
-
[8]
Das, S., Mathur, S., Gupta, A., Nicastro, F., & Krongold, Y. 2020, Monthly Notices of the Royal Astronomical Society, 500, 655–662, doi: 10.1093/mnras/staa3299 D’Onghia, E., & Fox, A. J. 2016, ARA&A, 54, 363, doi: 10.1146/annurev-astro-081915-023251
-
[9]
Faerman, Y., Sternberg, A., & McKee, C. F. 2017, ApJ, 835, 52, doi: 10.3847/1538-4357/835/1/52
-
[10]
Fang, T., Buote, D., Bullock, J., & Ma, R. 2015, The Astrophysical Journal Supplement Series, 217, 21, doi: 10.1088/0067-0049/217/2/21 G´ orski, K. M., Hivon, E., Banday, A. J., et al. 2005, ApJ, 622, 759, doi: 10.1086/427976
-
[11]
Grand, R. J. J., G´ omez, F. A., Marinacci, F., et al. 2017, MNRAS, 467, 179, doi: 10.1093/mnras/stx071
-
[12]
Grcevich, J., & Putman, M. E. 2009, ApJ, 696, 385, doi: 10.1088/0004-637X/696/1/385
-
[13]
2012, ApJL, 756, L8, doi: 10.1088/2041-8205/756/1/L8
Galeazzi, M. 2012, ApJL, 756, L8, doi: 10.1088/2041-8205/756/1/L8
-
[14]
Haffner, L. M., Reynolds, R. J., Tufte, S. L., et al. 2003, ApJS, 149, 405, doi: 10.1086/378850
doi:10.1086/378850 2003
-
[15]
Harris, C. R., Millman, K. J., van der Walt, S. J., et al. 2020, Nature, 585, 357, doi: 10.1038/s41586-020-2649-2
-
[16]
Hoffmann, J., James, C., Prochaska, J. X., & Glowacki, M. 2026, I can see your halo: Constraining the Milky Way halo DM with FRB population studies, https://arxiv.org/abs/2601.05496
arXiv 2026
-
[17]
Huang, Y., Lee, K.-G., Libeskind, N. I., et al. 2025, MNRAS, 538, 2785, doi: 10.1093/mnras/staf417
-
[18]
Hummels, C. B., Smith, B. D., & Silvia, D. W. 2017, ApJ, 847, 59, doi: 10.3847/1538-4357/aa7e2d
-
[19]
Hummels, C. B., Smith, B. D., Hopkins, P. F., et al. 2019, ApJ, 882, 156, doi: 10.3847/1538-4357/ab378f
-
[20]
Hunter, J. D. 2007, Computing in Science & Engineering, 9, 90, doi: 10.1109/MCSE.2007.55
-
[21]
Keating, L. C., & Pen, U.-L. 2020, MNRAS, 496, L106, doi: 10.1093/mnrasl/slaa095 14
-
[22]
Konietzka, R. M., Connor, L., Semenov, V. A., et al. 2025, arXiv e-prints, arXiv:2507.07090, doi: 10.48550/arXiv.2507.07090
-
[23]
Krishnarao, D., Fox, A. J., D’Onghia, E., et al. 2022, Nature, 609, 915, doi: 10.1038/s41586-022-05090-5
-
[24]
Liu, Y., Wang, B., Wu, P., Wei, J.-J., & Wu, X.-F. 2026a, Investigating the Anisotropy of Dispersion Measure Contribution from the Galactic Halo by Using Fast Radio Bursts, https://arxiv.org/abs/2601.02849
-
[25]
2024, Astronomy & Astrophysics, 681, A78, doi: 10.1051/0004-6361/202347061
Locatelli, N., Ponti, G., Zheng, X., et al. 2024, Astronomy & Astrophysics, 681, A78, doi: 10.1051/0004-6361/202347061
-
[26]
Lochhaas, C., Tumlinson, J., O’Shea, B. W., et al. 2021, ApJ, 922, 121, doi: 10.3847/1538-4357/ac2496
-
[27]
Lochhaas, C., Tumlinson, J., Peeples, M. S., et al. 2023, ApJ, 948, 43, doi: 10.3847/1538-4357/acbb06
-
[28]
Lorimer, D. R., Bailes, M., McLaughlin, M. A., Narkevic, D. J., & Crawford, F. 2007, Science, 318, 777, doi: 10.1126/science.1147532
-
[29]
2026, arXiv e-prints, arXiv:2603.05584, doi: 10.48550/arXiv.2603.05584
Lucchini, S., Abramson, C., Hummels, C., et al. 2026, arXiv e-prints, arXiv:2603.05584, doi: 10.48550/arXiv.2603.05584
-
[30]
Lucchini, S., D’Onghia, E., Fox, A. J., et al. 2020, Nature, 585, 203, doi: 10.1038/s41586-020-2663-4
-
[31]
Macquart, J.-P., Prochaska, J. X., McQuinn, M., et al. 2020, Nature, 581, 391, doi: 10.1038/s41586-020-2300-2
-
[32]
McCarty, S., Connor, L., & Konietzka, R. M. 2026, arXiv e-prints, arXiv:2602.16781, doi: 10.48550/arXiv.2602.16781
-
[33]
Miller, M. J., & Bregman, J. N. 2015, The Astrophysical Journal, 800, 14, doi: 10.1088/0004-637x/800/1/14
-
[34]
2019, Computational Astrophysics and Cosmology, 6, 2, doi: 10.1186/s40668-019-0028-x
Nelson, D., Springel, V., Pillepich, A., et al. 2019, Computational Astrophysics and Cosmology, 6, 2, doi: 10.1186/s40668-019-0028-x
-
[35]
Ocker, S. K., & Cordes, J. M. 2026, ApJ, 1002, 3, doi: 10.3847/1538-4357/ae5825
-
[36]
Hummels, C. B. 2024, ApJL, 972, L26, doi: 10.3847/2041-8213/ad725b
-
[37]
S., Corlies, L., Tumlinson, J., et al
Peeples, M. S., Corlies, L., Tumlinson, J., et al. 2019, ApJ, 873, 129, doi: 10.3847/1538-4357/ab0654
-
[38]
2018, MNRAS, 473, 4077, doi: 10.1093/mnras/stx2656
Pillepich, A., Springel, V., Nelson, D., et al. 2018, MNRAS, 473, 4077, doi: 10.1093/mnras/stx2656
-
[39]
Prochaska, J. X., & Zheng, Y. 2019, MNRAS, 485, 648, doi: 10.1093/mnras/stz261
-
[40]
E., Zheng, Y., Price-Whelan, A
Putman, M. E., Zheng, Y., Price-Whelan, A. M., et al. 2021, ApJ, 913, 53, doi: 10.3847/1538-4357/abe391
-
[41]
2024, MNRAS, 528, 3320, doi: 10.1093/mnras/stae237
Ramesh, R., & Nelson, D. 2024, MNRAS, 528, 3320, doi: 10.1093/mnras/stae237
-
[42]
2025, AJ, 169, 330, doi: 10.3847/1538-3881/adc725
Ravi, V., Catha, M., Chen, G., et al. 2025, AJ, 169, 330, doi: 10.3847/1538-3881/adc725
-
[43]
2015, ApJ, 815, 77, doi: 10.1088/0004-637X/815/1/77
Salem, M., Besla, G., Bryan, G., et al. 2015, ApJ, 815, 77, doi: 10.1088/0004-637X/815/1/77
-
[44]
2015, MNRAS, 449, 4336, doi: 10.1093/mnras/stv565
Smith, A., Safranek-Shrader, C., Bromm, V., & Milosavljevi´ c, M. 2015, MNRAS, 449, 4336, doi: 10.1093/mnras/stv565
-
[45]
2010, MNRAS, 401, 791, doi: 10.1111/j.1365-2966.2009.15715.x
Springel, V. 2010, MNRAS, 401, 791, doi: 10.1111/j.1365-2966.2009.15715.x
arXiv 2010
-
[46]
2019, MNRAS, 483, 4040, doi: 10.1093/mnras/sty3402
Hernquist, L. 2019, MNRAS, 483, 4040, doi: 10.1093/mnras/sty3402
-
[47]
Turk, M. J., Smith, B. D., Oishi, J. S., et al. 2011, ApJS, 192, 9, doi: 10.1088/0067-0049/192/1/9 van de Voort, F., Springel, V., Mandelker, N., van den
-
[48]
Bosch, F. C., & Pakmor, R. 2019, MNRAS, 482, L85, doi: 10.1093/mnrasl/sly190
-
[49]
2020, Nature Reviews Physics, 2, 42, doi: 10.1038/s42254-019-0127-2
Vogelsberger, M., Marinacci, F., Torrey, P., & Puchwein, E. 2020, Nature Reviews Physics, 2, 42, doi: 10.1038/s42254-019-0127-2
-
[50]
2020, ApJS, 248, 32, doi: 10.3847/1538-4365/ab908c
Weinberger, R., Springel, V., & Pakmor, R. 2020, ApJS, 248, 32, doi: 10.3847/1538-4365/ab908c
-
[51]
2017, MNRAS, 465, 3291, doi: 10.1093/mnras/stw2944
Weinberger, R., Springel, V., Hernquist, L., et al. 2017, MNRAS, 465, 3291, doi: 10.1093/mnras/stw2944
-
[52]
2020, ApJ, 888, 105, doi: 10.3847/1538-4357/ab58c4
Yamasaki, S., & Totani, T. 2020, ApJ, 888, 105, doi: 10.3847/1538-4357/ab58c4
-
[53]
Yao, J. M., Manchester, R. N., & Wang, N. 2017, ApJ, 835, 29, doi: 10.3847/1538-4357/835/1/29
-
[54]
2019, Journal of Open Source Software, 4, 1298, doi: 10.21105/joss.01298
Zonca, A., Singer, L., Lenz, D., et al. 2019, Journal of Open Source Software, 4, 1298, doi: 10.21105/joss.01298
This paper was first reviewed by deepseek-v4-flash on August 1, 2026.
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