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A representation of a set of maps as a ribbon bipartite graph

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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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Yury Kochetkov

Combinatorics · Submitted 29 Aug 2023

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

The authors' main claim In particular, this construction allows one to estimate the genus of the initial set.

how it is stated · hedged possibility 0.52 read the record →

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arXiv ID2308.15080 (version 1)
Pith IDUKLLZSLO, Pith's permanent record of this paper and its review
CitationYury Kochetkov. "A representation of a set of maps as a ribbon bipartite graph." arXiv:2308.15080 (2023). https://pith.science/paper/UKLLZSLO
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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.

Open the compiled record

Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,222 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.54 · human participants 0.02 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.11 · compares with prior results 0.04 · mentions code or data availability 0.03.

The abstract, sentence by sentence

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

In this purely experimental work we try to represent the set of plane maps with 3 vertices and 3 faces as a bipartite ribbon graph. In particular, this construction allows one to estimate the genus of the initial set.

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 this purely experimental work we try to represent the set of plane maps with 3 vertices and 3 faces as a bipartite ribbon graph. contribution 0.97 0.89 0.15 asserted 0.43
s1 In particular, this construction allows one to estimate the genus of the initial set. interpretation 0.50 0.66 0.34 hedged possibility 0.52

What kind of paper the classifier reports this is: empirical study 0.52 · evidence from observation or experiment 0.86.

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 this purely experimental work we try to represent the set of plane maps with 3 vertices and 3 faces as a bipartite ribbon graph. In particular, this construction allows one to estimate the genus of the initial set.

Human review

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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

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