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3D Genus Topology of Luminous Red Galaxies

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J. Richard Gott III, Yun-Young Choi, Changbom Park, Juhan Kim (for the SDSS Collaboration)

Astrophysics · Submitted 8 Dec 2008

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We measure the 3D genus topology of large scale structure using Luminous Red Galaxies (LRGs) in the Sloan Digital Sky Survey and find it consistent with the Gaussian random phase initial conditions expected from the simplest scenarios of inflation.

how it is stated · asserted 0.77 read the record →

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arXiv ID0812.1406 (version 2)
Pith IDX6UFMTYE, Pith's permanent record of this paper and its review
CitationChangbom Park, J. Richard Gott III, Juhan Kim (for the SDSS Collaboration), Yun-Young Choi. "3D Genus Topology of Luminous Red Galaxies." arXiv:0812.1406 (2008). https://pith.science/paper/X6UFMTYE
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The compiled record

The paper's own sentences, arranged. 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.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 6,221 input tokens, $0.0003 reported.

What the abstract itself states, as probabilities: claims first 0.28 · states limitation 0.22 · human participants 0.01 · controlled comparison 0.16 · randomized assignment 0.01 · states quantitative result 0.98 · compares with prior results 0.58 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

We measure the 3D genus topology of large scale structure using Luminous Red Galaxies (LRGs) in the Sloan Digital Sky Survey and find it consistent with the Gaussian random phase initial conditions expected from the simplest scenarios of inflation. This studies 3D topology on the largest scales ever obtained. The topology is sponge-like. We measure topology in two volume-limited samples: a dense shallow sample studied with smoothing length of 21h^{-1}Mpc, and a sparse deep sample studied with a smoothing length of 34h^{-1}Mpc. The amplitude of the genus curve is measured with 4% uncertainty. Small distortions in the genus curve expected from non-linear biasing and gravitational effects are well explained (to about 1-\sigma accuracy) by N-body simulations using a subhalo-finding technique to locate LRGs. This suggests the formation of LRGs is a clean problem that can be modeled well without any free fitting parameters. This bodes well for using LRGs to measure the characteristic scales such as the baryon oscillation scale in future deep redshift surveys.

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 measure the 3D genus topology of large scale structure using Luminous Red Galaxies (LRGs) in the Sloan Digital Sky Survey and find it consistent with the Gaussian random phase initial conditions expected from the simplest scenarios of inflation. result 0.93 0.97 0.88 asserted 0.77
s1 This studies 3D topology on the largest scales ever obtained. contribution 0.84 0.76 0.05 asserted 0.99
s2 The topology is sponge-like. result 0.95 0.72 0.05 asserted 1.00
s3 We measure topology in two volume-limited samples: a dense shallow sample studied with smoothing length of 21h^{-1}Mpc, and a sparse deep sample studied with a smoothing length of 34h^{-1}Mpc. method 1.00 0.95 0.02 asserted 1.00
s4 The amplitude of the genus curve is measured with 4% uncertainty. result 1.00 0.95 0.04 asserted 1.00
s5 Small distortions in the genus curve expected from non-linear biasing and gravitational effects are well explained (to about 1-\sigma accuracy) by N-body simulations using a subhalo-finding technique to locate LRGs. result 0.90 0.74 0.07 asserted 0.93
s6 This suggests the formation of LRGs is a clean problem that can be modeled well without any free fitting parameters. interpretation 1.00 0.54 0.13 hedged possibility 0.89
s7 This bodes well for using LRGs to measure the characteristic scales such as the baryon oscillation scale in future deep redshift surveys. interpretation 0.61 0.23 0.08 hedged possibility 0.96

What kind of paper the classifier reports this is: empirical study 1.00 · evidence from analysis of existing data 0.92.

What was examined, and what was not

sources read
  • arXiv listing abstract v2
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

The paper
Original abstract

We measure the 3D genus topology of large scale structure using Luminous Red Galaxies (LRGs) in the Sloan Digital Sky Survey and find it consistent with the Gaussian random phase initial conditions expected from the simplest scenarios of inflation. This studies 3D topology on the largest scales ever obtained. The topology is sponge-like. We measure topology in two volume-limited samples: a dense shallow sample studied with smoothing length of 21h^{-1}Mpc, and a sparse deep sample studied with a smoothing length of 34h^{-1}Mpc. The amplitude of the genus curve is measured with 4% uncertainty. Small distortions in the genus curve expected from non-linear biasing and gravitational effects are well explained (to about 1-\sigma accuracy) by N-body simulations using a subhalo-finding technique to locate LRGs. This suggests the formation of LRGs is a clean problem that can be modeled well without any free fitting parameters. This bodes well for using LRGs to measure the characteristic scales such as the baryon oscillation scale in future deep redshift surveys.

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