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REVIEW

Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant

Astrophysics · Submitted 18 Dec 2000 · 15 references

Pith's verdict: The canonical H0 = 72 ± 8 result, well supported and unusually candid about its systematics — but the Type Ia calibrator list in §6.1 contradicts Tables 1 and 2 and cannot be reproduced as written.

T0 · AI review

How this review was made: An AI referee (selfhosted/deepseek-v4.1-flash) read the paper on October 29, 2026 and answered a fixed list of questions about it. T0 is the starting level every paper gets. The levels describe how deeply Pith has checked the paper, never the authors.

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arXiv IDastro-ph/0012376 (version 1)
Pith IDNL7DAN3N, Pith's permanent record of this paper and its review
CitationB. F. Madore, B. K. Gibson, D. D. Kelson, G. D. Illingworth, H. C. Ford, J. A. Graham, J. P. Huchra, Jr., J. R. Mould, L. Ferrarese, L. M. Macri, P. B. Stetson, R. C. Kennicutt, S. M. G. Hughes, S. Sakai, W. L. Freedman. "Final Results from the Hubble Space Telescope Key Project to Measure the Hubble Constant." arXiv:astro-ph/0012376 (2000). https://pith.science/paper/NL7DAN3N
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Referee report
The paper

The paper claims

The Hubble Space Telescope Key Project concludes that the universe expands at about 72 km/s/Mpc, with a total uncertainty of roughly 8 km/s/Mpc, after recalibrating Cepheid distances and five secondary distance indicators.

The reading

The paper's aim is to pin down the Hubble constant, the present-day expansion rate that sets the age and size of the universe, by using HST-discovered Cepheid variables to calibrate five independent methods that reach far beyond the Cepheids. The authors re-derive Cepheid distances to 31 galaxies with a new LMC period-luminosity relation, a revised WFPC2 photometric zero point, a metallicity correction, and a correction for short-period incompleteness bias, then apply those distances to Type Ia and Type II supernovae, the Tully-Fisher relation, surface brightness fluctuations, and the fundamental plane. They conclude that the methods agree and give $H_0 = 72 pm 3$ (random) $pm 7$ (systematic) km/s/Mpc, or $72 pm 8$ with errors added in quadrature. If correct, the long-standing disagreement over $H_0$ is reduced to a 10% error budget, and the result favors a universe about 13 Gyr old with a cosmological constant. The authors themselves flag the LMC distance zero point as one of the largest remaining systematics.

What carries the argument

The load-bearing device is the Cepheid period-luminosity relation used as an absolute calibrator: the LMC sets the zero point, the Udalski et al. slopes set the period dependence, and a reddening-free Wesenheit combination $W = V - R(V-I)$ turns $V$ and $I$ photometry into a true distance modulus. The authors then correct that modulus for metallicity and for magnitude-limited bias at short periods, and tie the HST WFPC2 photometry to a revised zero point. Each secondary method is calibrated with a subset of these Cepheid distances, so the same zero-point error propagates coherently through all five $H_0$ values; that coherence is why method-to-method agreement cannot by itself validate the absolute scale.

Extended reading notes

Core claim

The central claim is that a single, internally consistent Cepheid calibration yields $H_0 = 72 pm 8$ km/s/Mpc across five secondary distance indicators. The individual values are $71 pm 2 pm 6$ for Type Ia supernovae, $71 pm 3 pm 7$ for Tully-Fisher, $70 pm 5 pm 6$ for surface brightness fluctuations, $72 pm 9 pm 7$ for Type II supernovae, and $82 pm 6 pm 9$ for the fundamental plane. Four methods cluster at 70-72 km/s/Mpc; the fundamental plane is the outlier but carries low weight because it is calibrated by only three clusters. Combining the five with frequentist, Bayesian, and Monte Carlo weighting gives $72 pm 3$ random $pm 7$ systematic, and the revised calibration also brings the Cepheid distance to NGC 4258 closer to its maser distance.

Load-bearing premise

The whole ladder rests on the adopted Large Magellanic Cloud distance modulus of $18.50 pm 0.10$ mag, an external zero point that multiplies every Cepheid distance and every secondary-method $H_0$; the paper notes that 18.3 mag would raise $H_0$ to about 79 km/s/Mpc.

Editorial extensions

If this is right

  • For a flat universe with $\Omega_m = 0.3$ and $\Omega_\Lambda = 0.7$, $H_0 = 72$ gives an expansion age near 13 Gyr, consistent with revised globular-cluster ages and favoring a cosmological constant.
  • The Einstein-de Sitter case ($\Omega_m = 1$, $\Omega_\Lambda = 0$) would give only about 9 Gyr at this $H_0$, in tension with the oldest stars.
  • The long-standing spread among $H_0$ measurements is reduced to a 10% error budget, with the remaining spread dominated by shared systematics rather than by the secondary methods.
  • The Cepheid-calibrated distances provide a common zero point for Type Ia supernovae, Tully-Fisher, surface brightness fluctuations, and the fundamental plane, so future distance indicators can be placed on the same scale.
  • The revised Cepheid distance to NGC 4258 agrees with its maser distance within about $1.2\sigma$, an external check on the ladder.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • Because all five methods inherit the same LMC zero point, a future geometric LMC distance that shifts the modulus by 0.1 mag would move every $H_0$ value coherently; the observed method-to-method scatter therefore cannot reveal that error.
  • The fundamental plane's 82 km/s/Mpc value is the one place where the calibration sample is thin, at three clusters; a larger Cepheid-calibrated cluster sample would test whether that outlier is a real astrophysical difference or a small-number calibration error.
  • Unresolved blending is assigned a $+5/-0$% uncertainty rather than a correction; if blending is stronger in the most distant Cepheid hosts, the ladder could be biased toward low $H_0$ at exactly the distances where the secondary methods are calibrated.
  • An independent geometric distance to a galaxy hosting both Cepheids and a Type Ia supernova would break the degeneracy between the LMC zero point and the supernova absolute magnitude, which is the tightest current route to a percent-level $H_0$.
Original abstract

We present here the final results of the Hubble Space Telescope Key Project to measure the Hubble constant. We summarize our method, the results and the uncertainties, tabulate our revised distances, and give the implications of these results for cosmology. The analysis presented here benefits from a number of recent improvements and refinements, including (1) a larger LMC Cepheid sample to define the fiducial period-luminosity (PL) relations, (2) a more recent HST Wide Field and Planetary Camera 2 (WFPC2) photometric calibration, (3) a correction for Cepheid metallicity, and (4) a correction for incompleteness bias in the observed Cepheid PL samples. New, revised distances are given for the 18 spiral galaxies for which Cepheids have been discovered as part of the Key Project, as well as for 13 additional galaxies with published Cepheid data. The new calibration results in a Cepheid distance to NGC 4258 in better agreement with the maser distance to this galaxy. Based on these revised Cepheid distances, we find values (in km/sec/Mpc) of H0 = 71 +/- 2 (random) +/- 6 (systematic) (type Ia supernovae), 71 +/- 2 +/- 7 (Tully-Fisher relation), 70 +/- 5 +/- 6 (surface brightness fluctuations), 72 +/- 9 +/- 7 (type II supernovae), and 82 +/- 6 +/- 9 (fundamental plane). We combine these results for the different methods with 3 different weighting schemes, and find good agreement and consistency with H0 = 72 +/- 8. Finally, we compare these results with other, global methods for measuring the Hubble constant.

The compiled record

The paper's own sentences, arranged, kept beside the review and separate from it. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,621 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.65 · human participants 0.02 · controlled comparison 0.10 · randomized assignment 0.01 · states quantitative result 0.99 · compares with prior results 0.96 · mentions code or data availability 0.03.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

We present here the final results of the Hubble Space Telescope Key Project to measure the Hubble constant. We summarize our method, the results and the uncertainties, tabulate our revised distances, and give the implications of these results for cosmology. The analysis presented here benefits from a number of recent improvements and refinements, including (1) a larger LMC Cepheid sample to define the fiducial period-luminosity (PL) relations, (2) a more recent HST Wide Field and Planetary Camera 2 (WFPC2) photometric calibration, (3) a correction for Cepheid metallicity, and (4) a correction for incompleteness bias in the observed Cepheid PL samples. New, revised distances are given for the 18 spiral galaxies for which Cepheids have been discovered as part of the Key Project, as well as for 13 additional galaxies with published Cepheid data. The new calibration results in a Cepheid distance to NGC 4258 in better agreement with the maser distance to this galaxy. Based on these revised Cepheid distances, we find values (in km/sec/Mpc) of H0 = 71 +/- 2 (random) +/- 6 (systematic) (type Ia supernovae), 71 +/- 2 +/- 7 (Tully-Fisher relation), 70 +/- 5 +/- 6 (surface brightness fluctuations), 72 +/- 9 +/- 7 (type II supernovae), and 82 +/- 6 +/- 9 (fundamental plane). We combine these results for the different methods with 3 different weighting schemes, and find good agreement and consistency with H0 = 72 +/- 8. Finally, we compare these results with other, global methods for measuring the Hubble constant.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We present here the final results of the Hubble Space Telescope Key Project to measure the Hubble constant. contribution 1.00 0.87 0.07 asserted 0.93
s1 We summarize our method, the results and the uncertainties, tabulate our revised distances, and give the implications of these results for cosmology. contribution 0.98 0.92 0.05 asserted 0.94
s2 The analysis presented here benefits from a number of recent improvements and refinements, including (1) a larger LMC Cepheid sample to define the fiducial period-luminosity (PL) relations, (2) a more recent HST Wide Field and Planetary Camera 2 (WFPC2) photometric calibration, (3) a correction for Cepheid metallicity, and (4) a correction for incompleteness bias in the observed Cepheid PL samples. method 0.94 0.39 0.03 asserted 0.99
s3 New, revised distances are given for the 18 spiral galaxies for which Cepheids have been discovered as part of the Key Project, as well as for 13 additional galaxies with published Cepheid data. contribution 0.68 0.86 0.03 asserted 1.00
s4 The new calibration results in a Cepheid distance to NGC 4258 in better agreement with the maser distance to this galaxy. result 0.92 0.87 0.04 asserted 0.97
s5 Based on these revised Cepheid distances, we find values (in km/sec/Mpc) of H0 = 71 +/- 2 (random) +/- 6 (systematic) (type Ia supernovae), 71 +/- 2 +/- 7 (Tully-Fisher relation), 70 +/- 5 +/- 6 (surface brightness fluctuations), 72 +/- 9 +/- 7 (type II supernovae), and 82 +/- 6 +/- 9 (fundamental plane). result 1.00 0.97 0.57 asserted 1.00
s6 We combine these results for the different methods with 3 different weighting schemes, and find good agreement and consistency with H0 = 72 +/- 8. result 0.97 0.97 0.66 asserted 0.98
s7 Finally, we compare these results with other, global methods for measuring the Hubble constant. contribution 0.66 0.80 0.03 unclear 0.66

What kind of paper the classifier reports this is: empirical study 1.00 · evidence from observation or experiment 0.56.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

Figures
Figure 1. — Velocity versus distance for galaxies with Cepheid
Figure 2. — Three sets of Hubble relations constructed from the
Figure 3. — Values of H0 and their uncertainties for type Ia supernovae, the Tully-Fisher relation, the fundamental plane, surface brightness fluctuations, and type II supernovae, all calibrated by Cepheid variables. Each value is represented by a Gaussian curve (joined solid dots) with unit area and a 1-σ scatter equal to the random uncertainty. The systematic uncertainties for each method are indicated by the horizontal bars near the peak of each Gaussian. The upper curve is obtained by summing the individual Gaussians. The cumulative (frequentist) distribution has a midpoint (median) value…
Figure 4. — [Top panel]: A Hubble diagram of distance versus vel
Figure 5. — The distribution of LMC distance moduli as compiled
Figure 7. — Values of the Hubble constant determined using the S
Figure 8. This Hubble diagram covers over 3 orders of magnitu
Figure 9. — H0t0 versus Ω for H0 = 72 km s−1 Mpc−1 , t0 = 12.5 Gyr, and uncertainties of ±10% adopted for both quantities. The dark line indicates the case of a flat Universe with ΩΛ + Ωm = 1. The abscissa in this case corresponds to ΩΛ. The lighter curve represents a Universe with ΩΛ = 0. In this case, the abcissa should be read as Ωm. The dashed and dot-dashed lines indicate 1-σ and 2-σ limits, respectively for values of H0 = 72 and t0 = 12.5 Gyr in the case where both quantities are assumed to be known to ±10% (1-σ). The large open circle denotes values of H0t0 = 2/3 and Ωm = 1 (i.e.,…

Showing 8 of the paper's 9 figures. See all figures in the PDF ↗ Figures reproduced from arXiv:astro-ph/0012376 by the authors.

References
How later papers used it

288 later papers cite it

Evidence: substantial. 273 of the citing papers share no author with it, and 151 of those carry a confident label from Pith's citation classifier.

Pith read 40 of the 384 citing sentences, choosing only those whose citation markers point at this paper alone, and wrote the paraphrases from them. The summary, the counts, the evidence level, the links and the quotes come from code; the summary counts the papers listed below. A later paper is listed under a label when Pith's citation classifier gives one of its sentences that label at probability 0.8 or more (0.95 for support), Pith's reading finds that the citing paper itself did it, and a second check confirms the paraphrase against the sentence. This section lists uses only. It does not list criticism or disagreement, so their absence here says nothing about how the paper has been received. Papers that share an author with this one are listed apart, under "By the same authors". A quote is the citing authors' own sentence, shown when their paper's licence is CC BY, CC BY-SA or CC0. JSON

Uses its data or values 23 of 146 papers with this label
How the literature uses it

115 arXiv papers cite this in 144 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper

Papers citing it · 48 sentences without a confident label

Uses its method or tool 1 paper
  • We define the virial radius $R_vir$ as being the radius within which the average density is bigger than the average cosmological density by a factor $Δ$, called virial overdensity, for which we have adopted here the fitting form of Bryan and Norman [ref] [equation] leading to the relationship [equation] where we have assumed a Hubble constant of 72 km s$^-1$Mpc$^-1$ [ref] , and $Ω_m=0.3$.

    Compact Stars as Dark Matter Probes · White dwarfs in globular clusters · 0.81

Uses its data or values 71 papers
  • In this section, we constrain the parameters in the axion model with the assumption of a flat Universe by using the latest observational data including the Type 1a Supernovae Union2 compilation [ref] , the Baryon Acoustic Oscillation [ref] measurement from the SDSS [ref] , the Cosmic Microwave background measurement given by WMAP [ref] observations and the H(z) data from HST key Project [ref] .

    Observational Constraints on Axions as Quintessence in String Theory · Observational Constraint On Model Parameters · 1.00

  • We used the superovae data from Kowalski et al. [ref] to obtain the observational trend of $d_L(z)$ and we considered $H(z)$ values obtained by Simon, Verde and Jimenez [ref] and a prior on the Hubble parameter $H_0=0.72±0.08$ derived from measurements from the Hubble Space Telescope (HST, [ref] ), Finally, we used the value of $A$ from Eisenstein et al. [ref] .

    Cosmological constraints on the Hu-Sawicki modified gravity scenario · Method · 1.00

  • Again, by utilizing Cepheid variables and SNe Ia from the Hubble Space Telescope (HST) project, the present day value of expansion rate stood at $74.03 ±1.42$km/s/Mpc [ref] .

    Analysing Hubble Tension and Gravitational Waves for $f(Q,T)$ Gravity Theories · Introduction · 0.99

Compares with it 5 papers
  • [ref], [ref] and [ref] for the observable Hubble constant are all consistent with the low redshift measurements of the expansion rate that should specifically probe the observable Hubble constant; the value $H_0 = 66 kms^-1Mpc^-1$ sits firmly within the limits of the final results from the Hubble Key Project: $H_0 = 72 ±8 kms^-1Mpc^-1$ [ref] or $H_0 = 62.3 ±5.2 kms^-1Mpc^-1$ [ref] .

    Dark energy as a mirage · The Hubble Key Project · 0.96

  • This value is consistent with that obtained from Cepheid measurements by Huterer et al. [ref] , but $9±13$% larger than the more commonly cited value of Freedman et al. [ref] , (see [ref] for a fuller discussion).

    Radio Imaging of SN 1993J: The Story Continues · Introduction · 0.98

  • This result is consistent with the 3 year WMAP dataset result $H_0=73±3 km s^-1 Mpc^-1$ [ref] and with the Hubble Space Telescope key project result $H_0=73±8 km s^-1 Mpc^-1$ [ref] .

    Cosmological constraints combining H(z), CMB shift and SNIa observational data · Hubble parameter observations · 0.87

Cites it as background 6 papers
  • The distance ladder approach [ref] in cosmology is a methodical technique used to determine cosmological distances across the universe, spanning from nearby stars to distant galaxies.

    Hubble Tension or Distance Ladder Crisis? · Distance Ladder Approaches · 0.88

  • On the other hand, if one includes a cosmological constant [ref] , even the small one which is seemingly present in our universe [ref] , the presence of a cosmological horizon changes the late-time decay to one which is exponentially damped [ref] , replacing the branch cut with a discrete set of non-oscillatory, purely damped modes.

    Pseudospectrum of de Sitter black holes · Introduction · 0.89

  • However, Type Ia SNe require independent calibration to anchor the distance ladder, relying on geometry [ref] and extensions to larger distances with empirical relations in Cepheid variables [ref] and the tip of the red giant branch [ref] , or with other methods [ref] .

    Expanding Ejecta Method: I. Mapping Supernova Morphology with Intensity Interferometry · Introduction · 0.84

Discussion

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