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K\"ahler-Einstein metrics and algebraic structures on limit spaces

Differential Geometry · Submitted 28 Mar 2016

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

The authors' main claim This is an expository article, closely following the author's lecture at the 2014 Journal Differential Geometry conference.

how it is stated · asserted 1.00 read the record →

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arXiv ID1603.08444 (version 1)
Pith IDOX6XQRXM, Pith's permanent record of this paper and its review
CitationSimon Donaldson. "K\"ahler-Einstein metrics and algebraic structures on limit spaces." arXiv:1603.08444 (2016). https://pith.science/paper/OX6XQRXM
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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 0.02 · states limitation 0.22 · human participants 0.02 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.03 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

This is an expository article, closely following the author's lecture at the 2014 Journal Differential Geometry conference.

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 is an expository article, closely following the author's lecture at the 2014 Journal Differential Geometry conference. background 0.85 0.24 0.03 asserted 1.00

What kind of paper the classifier reports this is: review 0.99 · evidence from literature 0.47.

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

This is an expository article, closely following the author's lecture at the 2014 Journal Differential Geometry conference.

Human review
How the literature uses it

3 arXiv papers cite this in 3 sentences

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 · 1 sentence without a confident label

Cites it as background 2 papers

What it cites · 5 sentences without a confident label

Cites as background 1 paper

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