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New Link Invariants and Yang-Baxter Equation

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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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Susumu Okubo

High Energy Physics - Theory · Submitted 20 Jul 1994

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

The authors' main claim We have new solutions to the Yang-Baxter equation, from which we have constructed new link invariants containing more than two arbitrary parameters.

how it is stated · asserted 1.00 read the record →

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arXiv IDhep-th/9407127 (version 1)
Pith IDDQ7B6IAA, Pith's permanent record of this paper and its review
CitationSusumu Okubo. "New Link Invariants and Yang-Baxter Equation." arXiv:hep-th/9407127 (1994). https://pith.science/paper/DQ7B6IAA
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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,873 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.07 · states limitation 0.76 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.44 · 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; .

We have new solutions to the Yang-Baxter equation, from which we have constructed new link invariants containing more than two arbitrary parameters. This may be regarded as a generalization of the Jones' polynomial. We have also found another simpler invariant which discriminates only the linking structure of knots with each other, but not details of individual knot.

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 have new solutions to the Yang-Baxter equation, from which we have constructed new link invariants containing more than two arbitrary parameters. contribution 0.80 0.97 0.81 asserted 1.00
s1 This may be regarded as a generalization of the Jones' polynomial. interpretation 1.00 0.46 0.18 hedged possibility 1.00
s2 We have also found another simpler invariant which discriminates only the linking structure of knots with each other, but not details of individual knot. result 0.54 0.96 0.12 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 1.00.

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 have new solutions to the Yang-Baxter equation, from which we have constructed new link invariants containing more than two arbitrary parameters. This may be regarded as a generalization of the Jones' polynomial. We have also found another simpler invariant which discriminates only the linking structure of knots with each other, but not details of individual knot.

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