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RNA foldings, Oriented Stuck Knots and State Sum Invariants

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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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Jose Ceniceros, Mohamed Elhamdadi, Brendan Magill, Gabriana Rosario

Geometric Topology · Submitted 23 Dec 2022

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

The authors' main claim We extend the quandle cocycle invariant to the context of stuck links.

how it is stated · asserted 1.00 read the record →

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arXiv ID2212.12605 (version 1)
Pith ID3WENVY4N, Pith's permanent record of this paper and its review
CitationBrendan Magill, Gabriana Rosario, Jose Ceniceros, Mohamed Elhamdadi. "RNA foldings, Oriented Stuck Knots and State Sum Invariants." arXiv:2212.12605 (2022). https://pith.science/paper/3WENVY4N
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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, 4,069 input tokens.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.04 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.11 · mentions code or data availability 0.03.

The abstract, sentence by sentence

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

We extend the quandle cocycle invariant to the context of stuck links. More precisely, we define an invariant of stuck links by assigning Boltzmann weights at both classical and stuck crossings. As an application, we define a single-variable and a two-variable polynomial invariant of stuck links. Furthermore, we define a single-variable and two-variable polynomial invariant of arc diagrams of RNA foldings. We provide explicit computations of the new invariants.

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 extend the quandle cocycle invariant to the context of stuck links. contribution 1.00 0.94 0.34 asserted 1.00
s1 More precisely, we define an invariant of stuck links by assigning Boltzmann weights at both classical and stuck crossings. method 0.66 0.94 0.21 asserted 1.00
s2 As an application, we define a single-variable and a two-variable polynomial invariant of stuck links. contribution 0.95 0.95 0.19 asserted 1.00
s3 Furthermore, we define a single-variable and two-variable polynomial invariant of arc diagrams of RNA foldings. contribution 0.99 0.95 0.17 asserted 1.00
s4 We provide explicit computations of the new invariants. contribution 0.64 0.95 0.13 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.55 · evidence from proof or derivation 0.92.

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

We extend the quandle cocycle invariant to the context of stuck links. More precisely, we define an invariant of stuck links by assigning Boltzmann weights at both classical and stuck crossings. As an application, we define a single-variable and a two-variable polynomial invariant of stuck links. Furthermore, we define a single-variable and two-variable polynomial invariant of arc diagrams of RNA foldings. We provide explicit computations of the new invariants.

Human review

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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 · 4 sentences without a confident label

Cites as background 1 paper

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