{"arxiv_id":"astro-ph/0012376","incoming":{"papers":115,"sentences":144,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"sentences":1,"quotes":[{"arxiv_id":"0709.1485","title":"Compact Stars as Dark Matter Probes","url":"/paper/0709.1485","section":"White dwarfs in globular clusters","sentence":"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 $Ω_m=0.3$.","intent_p":0.81,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":71,"sentences":83,"quotes":[{"arxiv_id":"1108.1322","title":"Observational Constraints on Axions as Quintessence in String Theory","url":"/paper/1108.1322","section":"Observational Constraint On Model Parameters","sentence":"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] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"0906.2350","title":"Cosmological constraints on the Hu-Sawicki modified gravity scenario","url":"/paper/0906.2350","section":"Method","sentence":"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] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"2408.14878","title":"Analysing Hubble Tension and Gravitational Waves for $f(Q,T)$ Gravity Theories","url":"/paper/2408.14878","section":"Introduction","sentence":"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] .","intent_p":0.99,"contests_p":null},{"arxiv_id":"0911.0976","title":"Neutrino mass from cosmology: Impact of high-accuracy measurement of the Hubble constant","url":"/paper/0911.0976","section":"Introduction","sentence":"We focus on the newly reported measurement of the Hubble constant [ref] that has a rather higher central value and about two times smaller error than that of previous work [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"2409.14546","title":"The Hubble Tension in our own Backyard: DESI and the Nearness of the Coma Cluster","url":"/paper/2409.14546","section":"Checking Accuracy of Measurements","sentence":"llll The Distance to Coma Determined by Various Methods Technique Distance (Mpc) Distance Modulus (mag) Reference Literature Compilation [ref] I-band Tully-Fisher 86.3$±$6 34.68$±$0.15 [ref] K$^'$-band SBF 85$±$10 34.64$±$0.27 [ref] I-band SBF 102$±$14 35.04$±$0.32 [ref] $D_n-σ$ 96$±$6 34.90$±$0.14 [ref] FP 108$±$12 35.16$±$0.25 [ref] Globular Cluster Luminosity Function (GCLF) 102$±$6 35.05$±$0.12 [ref] Literature Mean 95$±$3.1 34.89$±$0.06 HST KP FP $^ (a)$ 85$±8$ 34.67$±0.21$ [ref] JWST TRGB+FP 90$±$9 34.74$±$0.18 [ref] HST NIR SBF 99.1$±5.8$ 34.98$±0.13$ J21 SH0ES Cepheids+SNe Ia 98.5$±2.2$ 34.97$±0.05$ Here Combination of Independent 98.0$±2.0$ 34.965$±0.045$ Here (a) See [ref] which updates the HST KP Cepheid calibration of LMC $18.50 ±0.13$ with the DEB result of 18.477 $±0.026$ mag from [ref] .","intent_p":0.87,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":5,"sentences":5,"quotes":[{"arxiv_id":"0711.4264","title":"Dark energy as a mirage","url":"/paper/0711.4264","section":"The Hubble Key Project","sentence":"[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] .","intent_p":0.96,"contests_p":null},{"arxiv_id":"1103.1783","title":"Radio Imaging of SN 1993J: The Story Continues","url":"/paper/1103.1783","section":"Introduction","sentence":"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).","intent_p":0.98,"contests_p":null},{"arxiv_id":"0704.2606","title":"Cosmological constraints combining H(z), CMB shift and SNIa observational data","url":"/paper/0704.2606","section":"Hubble parameter observations","sentence":"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] .","intent_p":0.87,"contests_p":null},{"arxiv_id":"1106.3366","title":"The 6dF Galaxy Survey: Baryon Acoustic Oscillations and the Local Hubble Constant","url":"/paper/1106.3366","section":"Constraining the Hubble constant, $H_0$","sentence":"They found $H_0 = 73.8±2.4$ km s$^-1$Mpc$^-1$, a value consistent with the initial results of the Hubble Key project [ref] but $1.7σ$ higher than our value (and $1.8σ$ higher when we combine our dataset with WMAP-7).","intent_p":0.9,"contests_p":null},{"arxiv_id":"1303.3302","title":"Cosmology with the 6-degree Field Galaxy Survey","url":"/paper/1303.3302","section":"Constraining the Hubble constant, $H_0$","sentence":"They found $H_0 = 73.8±2.4$ km s$^-1$Mpc$^-1$, a value consistent with the initial results of the Hubble Key project [ref] but $1.7σ$ higher than our value (and $1.8σ$ higher when we combine our dataset with WMAP-7).","intent_p":0.8,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":6,"sentences":7,"quotes":[{"arxiv_id":"2408.11031","title":"Hubble Tension or Distance Ladder Crisis?","url":"/paper/2408.11031","section":"Distance Ladder Approaches","sentence":"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.","intent_p":0.88,"contests_p":null},{"arxiv_id":"2312.11630","title":"Pseudospectrum of de Sitter black holes","url":"/paper/2312.11630","section":"Introduction","sentence":"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.","intent_p":0.89,"contests_p":null},{"arxiv_id":"2504.20132","title":"Expanding Ejecta Method: I. Mapping Supernova Morphology with Intensity Interferometry","url":"/paper/2504.20132","section":"Introduction","sentence":"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] .","intent_p":0.84,"contests_p":null},{"arxiv_id":"2604.04422","title":"Information-Geometric Perspective on the Hubble Tension: Eigenmode Rotation and Curvature Suppression in wCDM","url":"/paper/2604.04422","section":"Introduction","sentence":"The Hubble Space Telescope Key Project marked a major milestone in consolidating distance-ladder measurements, yet the precise value of $H_0$ remained sensitive to calibration choices and systematic effects [ref] .","intent_p":0.89,"contests_p":null},{"arxiv_id":"2607.21497","title":"Hubble tension: a short review of theoretical explanations","url":"/paper/2607.21497","section":"Introduction","sentence":"The Hubble constant, $H_0$, measures the present expansion rate of the Universe [ref] and links local astrophysical distances to the global cosmological model [ref] .","intent_p":1.0,"contests_p":null}]}],"unlabelled_sentences":48},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"claims":[{"relation":"same_result","label":"States the same result","papers":[{"arxiv_id":"0910.5775","url":"/paper/0910.5775","title":"Measuring the Hubble Constant with the Hubble Space Telescope","main_claim":"The result was H_0 = 72 +/- 8 km/sec/Mpc and put an end to galaxy distances uncertain by a factor of two.","p":1.0}]}],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":{"arxiv_id":"astro-ph/0012376","kind":"model","paper_version":1,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T11:15:55+00:00","loaded_at":"2026-10-28T01:01:55.568558+00:00","evidence":"substantial","account":[],"groups":[{"kind":"data_used","label":"Uses its data or values","papers":23,"entries":[{"p":1.0,"quote":null,"citing":[{"self":false,"year":2009,"title":"Cosmological constraints on the Hu-Sawicki modified gravity scenario","arxiv_id":"0906.2350"}],"verified":true,"paraphrase":"Used a prior on the Hubble parameter H0 = 0.72 ± 0.08 derived from Hubble Space Telescope measurements from this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2017,"title":"An independent determination of the local Hubble constant","arxiv_id":"1710.05951"}],"verified":true,"paraphrase":"Used only this paper's result from the Hubble Space Telescope Key Project team papers, adopting its metallicity-corrected distance values."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2008,"title":"Challenges to the DGP Model from Horizon-Scale Growth and Geometry","arxiv_id":"0808.2208"}],"verified":true,"paraphrase":"Used the Hubble constant measurement from the Hubble Space Telescope Key Project of this paper as data."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2008,"title":"Anisotropies in the Cosmic Neutrino Background after WMAP 5-year Data","arxiv_id":"0804.1925"}],"verified":true,"paraphrase":"Imposed the Gaussian Hubble Space Telescope prior h = 0.72 ± 0.08 from this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2008,"title":"Are cosmological neutrinos free-streaming?","arxiv_id":"0806.1735"}],"verified":true,"paraphrase":"Included the Hubble Space Telescope Key Project measurement of H0 from this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2020,"title":"Thirty Years of Radio Observations of Type Ia SN 1972E and SN 1895B: Constraints on Circumstellar Shells","arxiv_id":"2001.03558"}],"verified":true,"paraphrase":"Adopted the Cepheid distance of 3.15 Mpc from this paper for NGC 5253."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2020,"title":"AT 2016dah and AT 2017fyp: the first classical novae discovered within a tidal stream","arxiv_id":"2004.09431"}],"verified":true,"paraphrase":"Assumed a distance to M31 of d = 752 ± 17 kpc from this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2022,"title":"The recent LMC-SMC collision: Timing and impact parameter constraints from comparison of Gaia LMC disk kinematics and N-body simulations","arxiv_id":"2201.04648"}],"verified":true,"paraphrase":"Assumed the distance to the LMC is 50.1 kpc from this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2018,"title":"The Proper Motion Field of the Small Magellanic Cloud: Kinematic Evidence for its Tidal Disruption","arxiv_id":"1804.04110"}],"verified":true,"paraphrase":"Drew random values for LMC and SMC distances from this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2009,"title":"Constraints on Models with a Break in the Primordial Power Spectrum","arxiv_id":"0903.3725"}],"verified":true,"paraphrase":"Used the Hubble Space Telescope measurement of the Hubble parameter from this paper via a Gaussian likelihood centered on h = 0.72 with standard deviation 0.08."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2008,"title":"Late universe dynamics with scale-independent linear couplings in the dark sector","arxiv_id":"0803.1976"}],"verified":true,"paraphrase":"Fixed the dimensionless Hubble constant to h = 0.72 from this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2010,"title":"Observational constraint on generalized Chaplygin gas model","arxiv_id":"1004.3365"}],"verified":true,"paraphrase":"Used h = 0.72 ± 0.08 given by the Hubble Space Telescope Key Project of this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2008,"title":"Observables sensitive to absolute neutrino masses. II","arxiv_id":"0805.2517"}],"verified":true,"paraphrase":"Used the Hubble Space Telescope prior on the reduced Hubble constant h = 0.72 ± 0.07 from this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2008,"title":"From model dynamics to oscillating dark energy parameterisation","arxiv_id":"0805.4005"}],"verified":true,"paraphrase":"Used the Hubble Space Telescope measurement of H0 from this paper to complete its H(z) data set."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2018,"title":"Hydrogen Radio Recombination Line Emission from M51 and NGC628","arxiv_id":"1805.11460"}],"verified":true,"paraphrase":"Cited this paper for the distances to M100 and M101 in its table of observed sources."},{"p":1.0,"quote":{"text":"Adopting a distance modulus for M31, $μ_o(M31) = 24.38±0.05$ [ref] , along with an absolute $K$-band magnitude for the sun of $M_K,⊙=3.27$ [ref] , yields an integrated $K$-band luminosity for M31 of $L_K(M31) = 1.2×10^11 L_⊙,K$.","citing":"2207.05689","section":"The Luminosity-Specific Nova Rate"},"citing":[{"self":false,"year":2022,"title":"The Rate and Spatial Distribution of Novae in M31 as Determined by a Twenty-Year Survey","arxiv_id":"2207.05689"}],"verified":true,"paraphrase":"Adopted a distance modulus for M31 of 24.38 ± 0.05 from this paper."},{"p":1.0,"quote":{"text":"We adopted a Galactic neutral hydrogen column density $NH_MW = 6.14 ×10^20 cm^-2$ [ref] in the direction of SN 2014C and a distance of 14.7 Mpc [ref] .","citing":"2012.04081","section":"Observations and Analysis"},"citing":[{"self":false,"year":2020,"title":"Six years of luminous X-ray emission from the strongly interacting type-Ib SN 2014C captured by Chandra and NuSTAR","arxiv_id":"2012.04081"}],"verified":true,"paraphrase":"Adopted a distance of 14.7 Mpc from this paper for SN 2014C."},{"p":0.97,"quote":null,"citing":[{"self":false,"year":2008,"title":"Falsifying Paradigms for Cosmic Acceleration","arxiv_id":"0810.1744"}],"verified":true,"paraphrase":"Included a prior on the Hubble constant H0 from the HST Key Project of this paper."},{"p":1.0,"quote":null,"citing":[{"self":false,"year":2007,"title":"The Hubble constant and dark energy from cosmological distance measures","arxiv_id":"0710.3995"}],"verified":true,"paraphrase":"Took the central value of its Hubble constant prior from this paper, with a hypothetical error."},{"p":0.94,"quote":null,"citing":[{"self":false,"year":2022,"title":"Cosmicflows-4: The Baryonic Tully-Fisher Relation Providing ~10,000 Distances","arxiv_id":"2201.13023"}],"verified":true,"paraphrase":"Used this paper as a dominant source of distance information, rescaled slightly for consistency with other distances."},{"p":0.99,"quote":null,"citing":[{"self":false,"year":2008,"title":"Equilibrium boundary conditions, dynamic vacuum energy, and the Big Bang","arxiv_id":"0803.0281"}],"verified":true,"paraphrase":"Identified its calculated value with the measured value of the Hubble constant from this paper."},{"p":0.95,"quote":null,"citing":[{"self":false,"year":2020,"title":"A measurement of the Hubble constant from Type II supernovae","arxiv_id":"2006.03412"}],"verified":true,"paraphrase":"Used Cepheid distances of NGC 3319 and NGC 3198 updated from this paper."},{"p":0.98,"quote":null,"citing":[{"self":false,"year":2022,"title":"Cosmicflows-4","arxiv_id":"2209.11238"}],"verified":true,"paraphrase":"Used this paper's Key Project distances among the CPLR sample of 76 galaxies."}],"papers_all":146,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"data_used":146,"comparison":13,"method_or_tool":1},"dropped":{"relied_on":0,"unknown_ids":0,"account_lines":0,"contest_vetoed":0,"below_threshold":0,"contest_drawback":0,"contest_without_basis":0,"contest_not_one_sentence":0,"contest_on_group_citation":0},"papers_read":40,"self_papers":15,"citing_papers":288,"sentences_read":40,"citing_sentences":384,"unambiguous_read":40,"typed_independent":151,"independent_papers":273,"by_kind_independent":{"data_used":141,"comparison":12,"method_or_tool":1}},"input_sha256":"59ea5d218e52cbfd0b3c3b735461c9a06a9a5b24f2ec893bc97207793ffcfad5","method":"For a paper with five or more citing arXiv papers, Pith selected up to 40 citing sentences its citation classifier typed, read those whose citation markers point at this paper alone, and wrote one paraphrase for each later paper in each group, each resting on one sentence. A later paper is listed under a label only when the classifier gives one of its sentences that label at intent probability 0.8 or more (0.95 for support), Pith's reading of the sentence finds that the citing paper itself did it, and a second check of the paraphrase against the sentence passes. The section lists uses only: building on the paper, using its method, tool, data or values, comparing with it and citing it as support. It does not list criticism or disagreement, so their absence says nothing about how the paper has been received. Code counted the papers, wrote the summary from the listed entries, set the evidence level and linked each entry to its citing paper. Quotes are copied from the citing sentence and shown only when the citing paper's licence is CC BY, CC BY-SA or CC0; otherwise the paraphrase is shown. Papers that share an author with this one are listed apart. A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"23 later papers by other authors are listed below: 23 used its data or values."},"_links":{"html":"https://pith.science/paper/astro-ph/0012376"}}