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A remark on an estimate by Minami

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Paper breakdownThe authors' claims, conditions and measurements, as JSON Signed receiptProof this review has not been altered
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Gian Michele Graf, Alessio Vaghi

Mathematical Physics · Submitted 14 Apr 2006

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

The authors' main claim We generalize it so as to allow for a magnetic field, as well as to determinants of higher order.

how it is stated · asserted 0.99 read the record →

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arXiv IDmath-ph/0604033 (version 1)
Pith IDDVGGTSY2, Pith's permanent record of this paper and its review
CitationAlessio Vaghi, Gian Michele Graf. "A remark on an estimate by Minami." arXiv:math-ph/0604033 (2006). https://pith.science/paper/DVGGTSY2
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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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,249 input tokens.

What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.16 · compares with prior results 0.83 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

In the context of the Anderson model, Minami proved a Wegner type bound on the expectation of 2 by 2 determinant of Green's functions. We generalize it so as to allow for a magnetic field, as well as to determinants of higher order.

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 In the context of the Anderson model, Minami proved a Wegner type bound on the expectation of 2 by 2 determinant of Green's functions. background 1.00 0.03 0.06 asserted 1.00
s1 We generalize it so as to allow for a magnetic field, as well as to determinants of higher order. contribution 1.00 0.92 0.77 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.95 · evidence from proof or derivation 0.94.

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

In the context of the Anderson model, Minami proved a Wegner type bound on the expectation of 2 by 2 determinant of Green's functions. We generalize it so as to allow for a magnetic field, as well as to determinants of higher order.

Human review

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How the literature uses it

1 arXiv paper cite this in 1 sentence

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 citing it

Cites it as background 1 paper
  • Important progress in the understanding of the distribution of eigenvalues has been made at the rigorous level with the fundamental works of Wegner [ref] (also see e.g. Aizenman-Molchanov (AM) [ref] ) and Minami [ref] , which describes the main aspects of the distribution of the distances between the eigenvalues.

    On the distribution of linear combinations of eigenvalues of the Anderson model · Introduction · 0.98

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