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An Estimation of Phase Transition

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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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Shamsa Ishaq, Renaud Leplaideur

Dynamical Systems · Submitted 8 Sep 2023

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

The authors' main claim This paper will prove that the transition in pressure function cannot appear within the interval ]0, 2].

how it is stated · asserted 1.00 read the record →

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arXiv ID2309.04402 (version 1)
Pith IDBLTYQZTV, Pith's permanent record of this paper and its review
CitationRenaud Leplaideur, Shamsa Ishaq. "An Estimation of Phase Transition." arXiv:2309.04402 (2023). https://pith.science/paper/BLTYQZTV
Claim paper

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.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,839 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.48 · human participants 0.02 · controlled comparison 0.03 · randomized assignment 0.01 · states quantitative result 0.94 · compares with prior results 0.84 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

In [8], H. Bruin and R. Leplaideur studied a class of potentials such that the pressure function exhibit a phase transition at a parameter \b{eta}c > 0. This paper will prove that the transition in pressure function cannot appear within the interval ]0, 2].

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 [8], H. Bruin and R. background 1.00 0.03 0.01 unclear 0.98
s1 Leplaideur studied a class of potentials such that the pressure function exhibit a phase transition at a parameter \b{eta}c > 0. background 1.00 0.03 0.03 asserted 1.00
s2 This paper will prove that the transition in pressure function cannot appear within the interval ]0, 2]. result 0.85 0.86 0.94 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

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 [8], H. Bruin and R. Leplaideur studied a class of potentials such that the pressure function exhibit a phase transition at a parameter \b{eta}c > 0. This paper will prove that the transition in pressure function cannot appear within the interval ]0, 2].

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

What this paper does with the arXiv papers it cites

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

What it cites · 1 sentence without a confident label

Cites as background 1 paper
  • Note that, if $k∈1,n-1$ is not an accident time, then [equation] For more detail of the accident, we refer [ref] and [ref] .

    Thermodynamic formalism and Substitutions · $FE$ and $EF$-Transition. · 0.80

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