Tomographic transform on a sphere and topological insulators

N.M. Vildanov

RECORD

Tomographic transform on a sphere and topological insulators

N.M. Vildanov

Mesoscale and Nanoscale Physics · Submitted 21 Feb 2011

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

The authors' main claim In this paper we show how the tomographic transform can be implemented on a sphere and apply this result to study surface excitations of a spherical topological insulator with a single Dirac cone on the surface.

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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, 2,877 input tokens, $0.0001 reported.

What the abstract itself states, as probabilities: claims first 0.10 · states limitation 0.06 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.13 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

The tomographic transform was first introduced in the field theory literature long ago. It is closely related to Radon transform. In this paper we show how the tomographic transform can be implemented on a sphere and apply this result to study surface excitations of a spherical topological insulator with a single Dirac cone on the surface.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	The tomographic transform was first introduced in the field theory literature long ago.	background 1.00	0.02	0.02	asserted 1.00
s1	It is closely related to Radon transform.	background 1.00	0.04	0.02	asserted 1.00
s2	In this paper we show how the tomographic transform can be implemented on a sphere and apply this result to study surface excitations of a spherical topological insulator with a single Dirac cone on the surface.	contribution 1.00	0.96	0.77	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 0.66 · evidence from proof or derivation 1.00.

What was examined, and what was not

sources read

arXiv listing abstract v2

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 tomographic transform was first introduced in the field theory literature long ago. It is closely related to Radon transform. In this paper we show how the tomographic transform can be implemented on a sphere and apply this result to study surface excitations of a spherical topological insulator with a single Dirac cone on the surface.

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

What it cites · 6 sentences without a confident label

Cites as background 3 papers

[ref] The general reference on topological insulators is [ [ref] ].

Topological insulators and superconductors · Introduction · 0.87
[ref] The general reference on topological insulators is [ [ref] ].

Hydrodynamic theory of surface excitations of three-dimensional topological insulators · Introduction · 0.87
[ref] The general reference on topological insulators is [ [ref] ].

Topological BF field theory description of topological insulators · Introduction · 0.87

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