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Robust Morphological Measures for Large-Scale Structure

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T. Buchert

Astrophysics · Submitted 17 Dec 1994

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

The authors' main claim These robust and significant measures can be used to characterize the local and global morphology of spatial patterns formed by a coverage of point sets which represent galaxy samples.

how it is stated · asserted 0.61 read the record →

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arXiv IDastro-ph/9412061 (version 1)
Pith IDIUSFJXPI, Pith's permanent record of this paper and its review
CitationT. Buchert. "Robust Morphological Measures for Large-Scale Structure." arXiv:astro-ph/9412061 (1994). https://pith.science/paper/IUSFJXPI
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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, 3,532 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.07 · human participants 0.02 · controlled comparison 0.34 · randomized assignment 0.01 · states quantitative result 0.05 · compares with prior results 0.70 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

A complete family of statistical descriptors for the morphology of large--scale structure based on Minkowski--Functionals is presented. These robust and significant measures can be used to characterize the local and global morphology of spatial patterns formed by a coverage of point sets which represent galaxy samples. Basic properties of these measures are highlighted and their relation to the `genus statistics' is discussed. Test models like a Poissonian point process and samples generated from a Voronoi--model are put into perspective.

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 A complete family of statistical descriptors for the morphology of large--scale structure based on Minkowski--Functionals is presented. contribution 1.00 0.87 0.39 asserted 1.00
s1 These robust and significant measures can be used to characterize the local and global morphology of spatial patterns formed by a coverage of point sets which represent galaxy samples. contribution 0.75 0.45 0.27 asserted 0.61
s2 Basic properties of these measures are highlighted and their relation to the `genus statistics' is discussed. contribution 0.68 0.64 0.07 asserted 0.93
s3 Test models like a Poissonian point process and samples generated from a Voronoi--model are put into perspective. method 0.89 0.71 0.05 asserted 0.89

What kind of paper the classifier reports this is: method or tool 1.00 · evidence from simulation or computation 0.76.

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

The paper
Original abstract

A complete family of statistical descriptors for the morphology of large--scale structure based on Minkowski--Functionals is presented. These robust and significant measures can be used to characterize the local and global morphology of spatial patterns formed by a coverage of point sets which represent galaxy samples. Basic properties of these measures are highlighted and their relation to the `genus statistics' is discussed. Test models like a Poissonian point process and samples generated from a Voronoi--model are put into perspective.

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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.

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