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Concave transforms and volumes of adelic line bundles

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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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Yuxing Ye

Number Theory · Submitted 20 Sep 2026

abstract compiled · 2026-09-24 · no language-model review

The authors' main claim These results yield counterexamples to an identity conjectured by Yuan.

how it is stated · asserted 1.00 read the record →

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arXiv ID2609.23722 (version 1)
Pith IDGMNE3VJU, Pith's permanent record of this paper and its review
CitationYuxing Ye. "Concave transforms and volumes of adelic line bundles." arXiv:2609.23722 (2026). https://pith.science/paper/GMNE3VJU
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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, 2026-09-24: 1 request, 2,836 input tokens.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.33 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.19 · compares with prior results 0.68 · mentions code or data availability 0.02.

The abstract, sentence by sentence

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

We study the relationship between the integrals of Yuan's concave transforms and the characteristic volumes of adelic line bundles on projective varieties. We establish an identity in dimension one and an inequality in higher dimensions. These results yield counterexamples to an identity conjectured by Yuan.

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 We study the relationship between the integrals of Yuan's concave transforms and the characteristic volumes of adelic line bundles on projective varieties. contribution 0.90 0.79 0.10 asserted 0.65
s1 We establish an identity in dimension one and an inequality in higher dimensions. result 0.98 0.95 0.39 asserted 1.00
s2 These results yield counterexamples to an identity conjectured by Yuan. result 0.67 0.92 0.57 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
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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

We study the relationship between the integrals of Yuan's concave transforms and the characteristic volumes of adelic line bundles on projective varieties. We establish an identity in dimension one and an inequality in higher dimensions. These results yield counterexamples to an identity conjectured by Yuan.

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