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An Explicit Construction of Self-dual 2-forms in Eight Dimensions

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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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Ayse Humeyra Bilge, Tekin Dereli, Sahin Kocak

High Energy Physics - Theory · Submitted 8 Sep 1995

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

The authors' main claim We prove that for add $n$, it has only one dimensionallinear subspaces.

how it is stated · asserted 0.99 read the record →

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arXiv IDhep-th/9509041 (version 1)
Pith ID43QO37XT, Pith's permanent record of this paper and its review
CitationAyse Humeyra Bilge, Sahin Kocak, Tekin Dereli. "An Explicit Construction of Self-dual 2-forms in Eight Dimensions." arXiv:hep-th/9509041 (1995). https://pith.science/paper/43QO37XT
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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-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,539 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.13 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.92 · compares with prior results 0.75 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

The geometry of self-dual 2-forms in eight dimensions is studied. These 2-forms determine an $n^2-n+1$ dimensional manifold ${\cal S}_{2n}$. We prove that for add $n$, it has only one dimensionallinear subspaces. In eight dimensions, the self-dual forms of Corrigan et al constitue a seven dimensional linear subspace of ${\cal S}_8$, among many other intersting linear subspaces.

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 The geometry of self-dual 2-forms in eight dimensions is studied. background 0.60 0.60 0.04 asserted 0.88
s1 These 2-forms determine an $n^2-n+1$ dimensional manifold ${\cal S}_{2n}$. result 0.79 0.58 0.19 asserted 1.00
s2 We prove that for add $n$, it has only one dimensionallinear subspaces. result 0.97 0.86 0.28 asserted 0.99
s3 In eight dimensions, the self-dual forms of Corrigan et al constitue a seven dimensional linear subspace of ${\cal S}_8$, among many other intersting linear subspaces. result 0.89 0.46 0.22 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · 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

The geometry of self-dual 2-forms in eight dimensions is studied. These 2-forms determine an $n^2-n+1$ dimensional manifold ${\cal S}_{2n}$. We prove that for add $n$, it has only one dimensionallinear subspaces. In eight dimensions, the self-dual forms of Corrigan et al constitue a seven dimensional linear subspace of ${\cal S}_8$, among many other intersting linear subspaces.

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