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Holomorphic extension of the de Gennes function

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Virginie Bonnaillie-Noël, Frédéric Hérau, Nicolas Raymond

Spectral Theory · Submitted 13 Dec 2016

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

The authors' main claim This note is devoted to prove that the de Gennes function has a holomorphic extension on a strip containing the real axis.

how it is stated · asserted 1.00 read the record →

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arXiv ID1612.04148 (version 1)
Pith ID7MNNZ6Y7, Pith's permanent record of this paper and its review
CitationFr\'ed\'eric H\'erau, Nicolas Raymond, Virginie Bonnaillie-No\"el. "Holomorphic extension of the de Gennes function." arXiv:1612.04148 (2016). https://pith.science/paper/7MNNZ6Y7
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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, 1,593 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.07 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.04 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

This note is devoted to prove that the de Gennes function has a holomorphic extension on a strip containing the real axis.

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 This note is devoted to prove that the de Gennes function has a holomorphic extension on a strip containing the real axis. contribution 0.60 0.84 0.95 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
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not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • 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

This note is devoted to prove that the de Gennes function has a holomorphic extension on a strip containing the real axis.

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