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REVIEW 3 major objections 5 minor 110 references

The paper establishes that galaxies in compact groups have atomic-hydrogen disks at least ~71% smaller than isolated galaxies of the same optical size, placing compact groups alongside the Virgo cluster as the most truncating environments.

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 →

T0 review · deepseek-v4-flash

2026-08-01 20:53 UTC pith:MKURG3T5

load-bearing objection Central result likely right, but the headline deficit rests on a baseline that is 91% inferred, not measured. the 3 major comments →

arxiv 2607.16467 v1 pith:MKURG3T5 submitted 2026-07-17 astro-ph.GA astro-ph.CO

The size of the HI disk across different environments: isolated, compact groups, clusters, and pairs

classification astro-ph.GA astro-ph.CO
keywords galaxy evolutionHI disk truncationcompact groupsisolated galaxiesHI 21 cm linedisk scaling relationsenvironmental processinggalaxy groups
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved

The pith

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

The paper asks how strongly the dense, interacting environment of a compact group shrinks a galaxy's atomic-hydrogen disk relative to an otherwise similar isolated galaxy. It measures HI diameters at the 1 M_sun pc^-2 contour and builds a baseline relation between HI and optical diameter from isolated galaxies, then expresses each galaxy's offset as a residual. It finds compact-group members sit far below the baseline, with a median residual implying disks at least ~71% smaller, and that the deficit grows along the group evolutionary sequence. The same baseline places compact groups at the most-truncated end, statistically indistinguishable from the Virgo cluster sample and more truncated than loose groups, cluster infall, or pairs. The analysis avoids the traditional size ratio, which is biased because HI and optical diameters scale nonlinearly.

Core claim

Using the 1 M_sun pc^-2 isophote, the authors measure D_HI by ellipse fitting and establish an isolated-galaxy baseline, log D_HI = 0.704 log D_25 + 0.691 (scatter 0.153 dex). Compact-group members sit far below this baseline, with Kaplan–Meier median residual ≲ −0.535 dex — HI disks at least ~71% smaller than isolated galaxies of the same optical diameter — and ~90% below baseline once nondetections are included as upper limits. The deficit grows monotonically along the group evolutionary sequence, and the compact-group distribution is statistically indistinguishable from the Virgo cluster sample. The HI size–mass relation is shown to be tight and environment-invariant, so the truncation re

What carries the argument

The load-bearing device is the residual from the isolated-galaxy baseline, Δlog D_HI = log D_HI,obs − log D_HI,exp(D_25), with the baseline fitted by Bayesian regression to 407 isolated galaxies. Because D_HI grows as D_25^0.70, a fixed ratio D_HI/D_25 would systematically vary with galaxy size; the residual-at-fixed-D_25 removes that bias. The measurement chain also includes direct ellipse fitting to the 1 M_sun pc^-2 HI isodensity contour, beam deconvolution, and Kaplan–Meier/Gehan survival statistics to incorporate nondetected members as upper limits.

Load-bearing premise

That the HI diameter of an isolated galaxy can be reliably inferred from its HI mass through a universal size–mass relation, so that the baseline built mostly from 372 inferred diameters is unbiased; if including compact groups in the calibration or environment-dependent variations in the relation shifts those expected diameters, the 71% deficit changes.

What would settle it

Recompute the AMIGA baseline using only the 35 resolved isolated galaxies (or new resolved observations of the 372 single-dish galaxies) and re-measure the compact-group residuals. If the median residual moves above −0.535 dex or the baseline slope changes by more than the quoted uncertainty, the ≥71% deficit as stated is not robust.

Watch this falsifier — get emailed when new claim-graph text bears on it.

If this is right

  • If the claim holds, compact groups are as effective as galaxy clusters at truncating HI disks, despite lacking a hot intracluster medium.
  • The monotonic phase 1→3 trend implies HI truncation is a progressive process tied to the group's evolutionary stage, not a single starburst or merger event.
  • Because the HI size–mass relation is unaffected, gas removal moves galaxies along the relation, so HI-deficiency surveys can be translated into disk-size deficits at fixed optical size.
  • The D_25-dependent bias in the classic D_HI/D_25 ratio means previous comparisons mixing samples of different size ranges may need re-evaluation.
  • Pairs of galaxies selected to be HI-bright show no truncation relative to isolated galaxies, so interaction alone is not sufficient; the group potential matters.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • A testable extension: apply the same baseline to resolved HI observations of the 372 single-dish isolated galaxies; if their measured diameters confirm the inferred baseline, the 71% deficit is robust.
  • The Phase 3c 'recently accreted' interpretation predicts that the gas-rich member's HI disk should be kinematically undisturbed and symmetrically placed; a resolved kinematic study could discriminate between accretion and survival.
  • The same residual framework could rank simulated galaxies from cosmological runs, providing a direct observational benchmark for tidal-stripping prescriptions in group-scale potentials.
  • Because more than half of compact-group members are HI nondetections, the quoted deficit is a lower bound; deeper HI observations could reveal true disks even smaller than the beam-size upper limits, pushing the deficit above 71%.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The paper measures HI disk diameters at the 1 M_sun/pc2 isophote for 35 resolved AMIGA galaxies and 51 HCG detections, adds 73 HCG nondetections as beam-size upper limits, and constructs an AMIGA D_HI-D25 baseline from 407 galaxies (35 measured plus 372 D_HI values inferred from a size-mass relation). Residuals from this baseline are used to claim that HCG galaxies have HI disks at least ~71% smaller than isolated galaxies of the same optical diameter, with truncation increasing monotonically along the HCG phase sequence, and that HCGs are statistically indistinguishable from the Virgo cluster (VIVA). The paper also compares loose groups, Hydra I subsets, and galaxy pairs, and provides a fully reproducible Snakemake/Python workflow.

Significance. The question is timely and the measurement strategy is mostly sound: the residual-based metric avoids the size-dependent D_HI/D25 bias, the Monte Carlo error treatment accounts for beam-correlated noise, and the survival analysis handles nondetections in a principled way. The reproducibility framework (installable package plus Snakemake workflow) is a clear strength and sets a good standard for the field. If the baseline-construction concern is resolved, the paper would provide a valuable quantitative environmental sequence from isolated galaxies to compact groups and clusters. The main scientific claim, however, depends on an AMIGA baseline that is largely built from inferred rather than directly measured D_HI values, so the headline deficit is not yet established at the level the text claims.

major comments (3)
  1. [Sect. 3.2 / 4.1, Eq. (12), Table 3] The AMIGA baseline is not an independent isolated-galaxy reference: 372 of the 407 D_HI values entering Eq. (12) are inferred from the size-mass relation fitted to a combined sample that includes the HCGs being compared (Table 3, N=727). The statement 'With 407 galaxies, the AMIGA fit is not limited by statistics' overstates the effective information; only 35 of those points are direct measurements. Table 3 itself shows the resolved AMIGA size-mass fit is offset from the literature by ~1.4sigma in slope and ~1.6sigma in intercept, an offset the text attributes to small-number statistics. This assumption should be tested directly: (i) fit the D_HI-D25 baseline using only the 35 resolved AMIGA galaxies; (ii) infer the 372 single-dish D_HI values using a size-mass relation fitted to MIGHTEE+Wang16 only (excluding AMIGA and HCGs); then recompute the HCG median residual. If the headline defic
  2. [Sect. 4.1, Tables 5-8] The statistical tests treat the 124 HCG members as independent, but these galaxies are clustered in 30 groups and share a common environment; the reported p-values (e.g., Gehan p=1.1e-32, Mann-Whitney p=2.3e-5) therefore overstate significance. A group-level bootstrap or cluster-robust test should be used for the HCG-vs-AMIGA comparison. In addition, the claimed monotonic phase trend is not present in the detections-only statistics: Table 7 gives median residuals of -0.116 dex (Phase 1), -0.099 dex (Phase 2), and +0.011 dex (Phase 3c), so the monotonic increase appears only after assigning upper limits (Table 8). The text in Sect. 5 partially acknowledges the Phase 3c behavior, but the abstract's unqualified 'increases monotonically' overstates what the censored medians establish, especially given that the Phase 3c/3a Kaplan-Meier medians are unconstrained upper bounds.
  3. [Sect. 4.2, Table 9, Bok+20 rows] For the pairs sample, D_HI is inferred from ALFALFA M_HI using the same size-mass relation adopted for the AMIGA single-dish galaxies. This makes the 'least truncated' ranking of Bok+20 partly tautological relative to the AMIGA baseline. The text acknowledges that this comparison probes an HI-mass deficiency expressed in diameter units, but the abstract/conclusions place pairs at the least-truncated end without this caveat. This should be either removed from the central environmental ranking or presented only as a mass-based consistency check.
minor comments (5)
  1. [Fig. 6 caption] The caption text 'HCG KM median: 0.54' should read '-0.54'; the red dashed line and the stated upper bound -0.535 indicate a missing minus sign.
  2. [Table 4] The table formatting is garbled: the entries under alpha, beta, sigma_obs, rho_S, p_S, <Delta>low, <Delta>high are not cleanly separated, making some values unreadable. Please reformat for clarity.
  3. [Sect. 5 / Abstract] The Phase 3c statement that detected members are statistically indistinguishable from isolated galaxies (Mann-Whitney p=0.69) is based on only six detections; this low-N caveat should appear in the abstract or conclusions, not only in Sect. 5.
  4. [Sect. 2.1 / 4.1] The AMIGA sample excludes nondetections in the single-dish sample (only 'measurements' are used). If any of the 372 single-dish AMIGA galaxies are nondetections, the baseline is biased toward gas-rich systems; please clarify whether the Jones et al. (2018) values are detections only or include upper limits, and discuss the effect on the baseline.
  5. [General] Minor typographical issues: 'Hinondetections' and 'Hidiameter' spacing appears inconsistently; 'phase' capitalization in Table 8 captions is uneven.

Circularity Check

0 steps flagged

No significant circularity; the HCG deficit is an observed residual against a baseline that is anchored by external size–mass data and explicitly tested for HCG consistency.

full rationale

The central claim — that HCGs lie below the AMIGA D_HI–D25 baseline — is not forced by construction. HCG D_HI values are measured directly by ellipse fitting to the 1 M_sun pc^-2 iso-density contour (Sect. 3), and the residual is computed as observed minus baseline, Eq. (11). The baseline (Eq. 12) is a Bayesian fit to 407 AMIGA galaxies, of which 372 have D_HI inferred from the size–mass relation rather than from resolved maps. This is a genuine model-dependence caveat, but it is not circular: the size–mass relation is calibrated on a combined sample dominated by external MIGHTEE and Wang et al. (2016) data (639 of 727 galaxies), and the paper explicitly tests that HCGs are statistically consistent with that literature relation (Table 3: slope and intercept differences of only 0.18 sigma and 0.05 sigma). Thus the inclusion of HCGs in the calibration does not measurably determine the baseline, and the HCG residual distribution is an independent observed quantity. The monotonic increase in truncation along the HCG phase sequence follows from the published HI-based phase definitions of Jones et al. (2023), but the residual metric is not identical to those definitions; the trend is a physical correlation, not an equation-level identity. Self-citations to AMIGA and Jones et al. (2023) provide data and classification, but the load-bearing comparison is anchored by external literature samples, so no self-citation chain forces the result. No step reduces to its own input by construction.

Axiom & Free-Parameter Ledger

7 free parameters · 5 axioms · 0 invented entities

The central claim rests on two fitted calibrations (size-mass and D_HI-D25 baseline), on the universality of the size-mass relation, and on treating beam-size upper limits as censored HI diameters. No new physical entities are introduced; the main burden is that the reference baseline is partly built from inferred values and partly from the very environment being compared.

free parameters (7)
  • size-mass slope m (combined) = 0.508 ± 0.003
    Bayesian MCMC fit to 727 galaxies incl. HCGs; used to infer 372 AMIGA D_HI values.
  • size-mass intercept b (combined) = -3.305 ± 0.028
    Same fit; with m defines D_HI(M_HI) used for AMIGA inference.
  • size-mass intrinsic scatter sigma_int = 0.065 ± 0.002 dex
    Same fit; sets uncertainty of inferred D_HI, though inferred values are then used as if measured in the baseline fit.
  • AMIGA D_HI-D25 baseline slope alpha = 0.704 ± 0.037
    Bayesian fit to 407 AMIGA galaxies (Eq. 12), defines expected D_HI for residual calculation.
  • AMIGA D_HI-D25 baseline intercept beta = 0.691 ± 0.050
    Same fit.
  • AMIGA baseline observed scatter sigma_obs = 0.153 dex
    Used to define ±sigma truncation thresholds in Table 9 and Fig. 8.
  • nondetection D_HI upper limit = B_maj (beam major axis)
    Chosen censoring value for 73 nondetected HCG members; controls Kaplan-Meier median and the ≥71% deficit.
axioms (5)
  • domain assumption The HI size-mass relation is universal across environment: galaxies stripped of outer gas move along the relation rather than off it (log D_HI = m log M_HI + b with common m,b).
    Invoked in Sect. 3.2 to justify inferring D_HI for 372 single-dish AMIGA galaxies from M_HI using the combined fit that includes HCGs.
  • domain assumption The 1 M_sun pc^-2 isophotal HI diameter is a valid, comparable measure of HI disk extent across heterogeneous observations.
    Sect. 3; standard definition from Broeils & Rhee 1997 / Wang+16.
  • domain assumption AMIGA galaxies (especially the 372 with single-dish M_HI) represent the isolated-galaxy baseline for D_HI at fixed D25.
    Sect. 2.1; required for the residual definition (Eq. 11).
  • domain assumption HI nondetections can be treated as left-censored data with D_HI = B_maj as upper limit; Kaplan-Meier/Gehan methods then recover the median residual.
    Sect. 3, 4.1, Appendix C; needed for the ≥71% deficit.
  • domain assumption Direct least-squares ellipse fit to contour vertices returns an unbiased D_HI after quadrature beam subtraction.
    Appendix A and Eq. 3; first application of this fitter to D_HI.

pith-pipeline@v1.3.0-alltime-deepseek · 34311 in / 18554 out tokens · 190342 ms · 2026-08-01T20:53:03.095103+00:00 · methodology

0 comments
read the original abstract

The 21 cm line of atomic hydrogen (HI) is a sensitive tracer of the outer disk of galaxies, where environmental signatures are most apparent. The relative extent of HI disks compared to optical disks ($D_{\rm HI}$ vs $D_{25}$) is thought to provide a quantitative measure of such imprint, yet systematic comparisons between extreme environments remain scarce. We quantify the relative extent of HI disks in Hickson Compact Groups (HCGs) and in the Analysis of the interstellar Medium in Isolated GAlaxies (AMIGA) sample, using AMIGA as a control sample that captures secular evolution with minimal external influence. We calculate HI diameters by directly fitting an ellipse to the $1\,M_{\odot}\,{\rm pc}^{-2}$ iso-density contour. Because $D_{\rm HI}$ and $D_{25}$ are nonlinearly related, we avoid the traditional $D_{\rm HI}/D_{25}$ ratio, which carries a size-dependent bias, and instead quantify truncation as the residual from the isolated-galaxy $D_{\rm HI}$-$D_{25}$ baseline, which we establish for AMIGA via Bayesian analysis. The full analysis is provided as a reproducible Python package and Snakemake workflow. HCG galaxies lie systematically below the isolated-galaxy baseline in the $D_{\rm HI}$-$D_{25}$ plane. When members with HI nondetections are included as upper limits, HCGs have HI disks at least ~71% smaller than expected for isolated galaxies of the same optical diameter. The truncation increases monotonically along the HCG evolutionary sequence, from Phase 1 to Phase 3. A comparison with literature samples places HCGs at the most-truncated end, statistically indistinguishable from the Virgo cluster sample (VIVA). Compared to AMIGA, HI disks are typically smaller relative to the optical disk in loose groups, compact groups, and cluster infall/field environments, and are most strongly truncated in HCGs and in the Virgo cluster sample.

Figures

Figures reproduced from arXiv: 2607.16467 by A. Sorgho, B. Namumba, J. Garrido, K. M. Hess, L. Verdes-Montenegro, M. G. Jones, M. Korsaga, P. Kamphuis, R. Ianjamasimanana, S. H. A. Rajohnson, S. S\'anchez-Exp\'osito.

Figure 1
Figure 1. Figure 1: Posterior distributions of the slope, intercept, and intrin [PITH_FULL_IMAGE:figures/full_fig_p007_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: H i mass vs H i diameter. The filled stars and circle symbols are the results from this work and indicate galaxies from AMIGA and HCGs, respectively. The rest of the symbols indicate results from Wang et al. (2016) and Rajohnson et al. (2022), which use data from the MIGHTEE survey. The solid black line shows the best-fit relation for the combined sample of all galaxies from this work and the literature da… view at source ↗
Figure 3
Figure 3. Figure 3: Ellipse fits to the H i iso-surface density contour at 1 M⊙ pc−2 for three galaxies. The yellow line (mostly hidden behind the green line) represents the H i surface density contour at 1 M⊙ pc−2 . The green line shows the contour vertices that were used for the ellipse fitting, which excludes outliers. The black line represents the ellipse fitting to the vertices. The yellow crosses indicate the optical ce… view at source ↗
Figure 4
Figure 4. Figure 4: DHI versus D25 in logarithmic space (left panel) and ∆ log(DHI) versus D25 (right panel). Open circle symbols indicate the combined AMIGA (isolated) galaxies and square symbols represent HCG galaxies. The solid line in the left panel is a Bayesian fit to the AMIGA sample (Eq. 12). The solid line in the right panel represents ∆ log(DHI) = 0 (the AMIGA reference). The gray area marks the ±1σ scatter band. Th… view at source ↗
Figure 5
Figure 5. Figure 5: The ∆ log DHI vs log D25 relation of the combined AMIGA sample fitted using the nine linear estimators mentioned in Sect. 4.1. The solid lines are the fits to the data points, the black dots are quintile-binned medians of the residuals, and the horizontal dotted lines indicate ±σobs. tections, the Kaplan–Meier median of the full sample lies in the censored tail, below the peak formed by the detections alon… view at source ↗
Figure 6
Figure 6. Figure 6: Probability-density distributions of the residuals ∆ log(DHI) for AMIGA (hatched, N = 407) and HCG (filled, color-coded by evo￾lutionary phase) galaxies. The HCG sample includes the 70 H i nondetected members as beam-size upper limits (binned at their limit value; Appendix C), giving N = 124. The black dashed line marks the AMIGA mean and the red dashed line the Kaplan–Meier median of the HCG residuals (up… view at source ↗
Figure 7
Figure 7. Figure 7: Box-and-whisker distributions of the residuals ∆ log(DHI) for the AMIGA reference and the HCG galaxies grouped by evolution￾ary phase. Each box spans the interquartile range of the plotted values, the notch marks the confidence interval on the sample median, and the whiskers extend to the most extreme points within 1.5 times the interquartile range beyond the box; no outliers are drawn. Filled circles are … view at source ↗
Figure 8
Figure 8. Figure 8: Left panel: Median residual ∆ log(DHI) relative to the AMIGA baseline for each survey. The error bars indicate the ±1σ scatter around the median. Surveys are ranked from most truncated (top) to least truncated (bottom). The vertical solid line marks ∆ = 0 (the AMIGA expectation), and the shaded region indicates the ±1σAMIGA envelope. The marker size is proportional to the sample size. The HCG point is the … view at source ↗

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