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Progr\`es r\'ecents sur la conjecture de Zagier et le programme de Goncharov [d'apr\`es Goncharov, Rudenko, Gangl, ...]

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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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Clément Dupont

Number Theory · Submitted 3 Sep 2021

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

The authors' main claim We survey recent progress on the conjecture and in particular the proof of the $n=4$ case of the conjecture by Goncharov and Rudenko.

how it is stated · asserted 1.00 read the record →

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arXiv ID2109.01702 (version 2)
Pith ID3KVFSZAU, Pith's permanent record of this paper and its review
CitationCl\'ement Dupont. "Progr\`es r\'ecents sur la conjecture de Zagier et le programme de Goncharov [d'apr\`es Goncharov, Rudenko, Gangl, ...]." arXiv:2109.01702 (2021). https://pith.science/paper/3KVFSZAU
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-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 2,998 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.33 · compares with prior results 0.16 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

This survey article is the written version of a talk given at the Bourbaki seminar in April 2021. We give an introduction to Zagier's conjecture on special values of Dedekind zeta functions, and its relation to $K$-theory of fields and the theory of motives. We survey recent progress on the conjecture and in particular the proof of the $n=4$ case of the conjecture by Goncharov and Rudenko.

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 survey article is the written version of a talk given at the Bourbaki seminar in April 2021. background 0.94 0.69 0.01 asserted 1.00
s1 We give an introduction to Zagier's conjecture on special values of Dedekind zeta functions, and its relation to $K$-theory of fields and the theory of motives. contribution 0.59 0.43 0.07 asserted 0.96
s2 We survey recent progress on the conjecture and in particular the proof of the $n=4$ case of the conjecture by Goncharov and Rudenko. contribution 0.90 0.11 0.41 asserted 1.00

What kind of paper the classifier reports this is: review 1.00 · evidence from literature 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

This survey article is the written version of a talk given at the Bourbaki seminar in April 2021. We give an introduction to Zagier's conjecture on special values of Dedekind zeta functions, and its relation to $K$-theory of fields and the theory of motives. We survey recent progress on the conjecture and in particular the proof of the $n=4$ case of the conjecture by Goncharov and Rudenko.

Human review

How Pith checks papers → · Full audit of this paper →

How the literature uses it

1 arXiv paper cite this in 1 sentence

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

Papers citing it

Cites it as background 1 paper
  • Recall the connection between multiple polylogarithms, mixed Tate motives, and the algebraic $K$-theory of fields (for details see [ref] , [ref] , [ref] , [ref] ).

    The Hopf algebra of formal multiple polylogarithms · Multiple polylogarithms and Goncharov's program · 1.00

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