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Paper Citation Record · LEDGER

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces

As of 13 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2608.09606.

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pith.paper-citation-record.v1
2608.09606 v1

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measured 40 of 40 reference resolution

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40 of 40 outbound references displayed

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Outbound references

Observation ccd41463-d1e9-4b0b-b915-5d5155646f58 · outbound

This paper cites Ziegler.Oriented matroids, volume 46 ofEncyclopedia of Mathematics and its Applications.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Ziegler.Oriented matroids, volume 46 ofEncyclopedia of Mathematics and its Applications

Reference 1

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Observation b13c4e79-53e7-4de1-a174-936994034b94 · outbound

This paper cites S´ os, Bal´ azs Szegedy, and Katalin Veszter- gombi.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces S´ os, Bal´ azs Szegedy, and Katalin Veszter- gombi

Reference 2

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This paper cites S´ os, and Katalin Vesztergombi.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces S´ os, and Katalin Vesztergombi

Reference 3

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Observation 0f9bc12f-149f-424a-bd99-5a2963a9ab91 · outbound

This paper cites Chayes, L´ aszl´ o Lov´ asz, Vera T.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Chayes, L´ aszl´ o Lov´ asz, Vera T

Reference 4

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Observation 2a7663f4-ffdf-4e3c-bcd9-ae13b1d52eb9 · outbound

This paper cites Greedy algorithm and symmetric matroids.Math.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Greedy algorithm and symmetric matroids.Math

Reference 5

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Observation 699d72af-8ddd-4b00-9401-70620e3352b7 · outbound

This paper cites Inequalities between torsional rigidity and principal eigenvalue of thep-Laplacian.Calc.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Inequalities between torsional rigidity and principal eigenvalue of thep-Laplacian.Calc

Reference 6

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Observation b30987d9-0684-4171-b6ed-675456115166 · outbound

This paper cites Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds.Geom.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Sharp geometric and functional inequalities in metric measure spaces with lower Ricci curvature bounds.Geom

Reference 7

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Observation 26827a0f-5558-4bdf-9d6b-5d09da962cf9 · outbound

This paper cites Hubert Chan, Anand Louis, Zhihao Gavin Tang, and Chenzi Zhang.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Hubert Chan, Anand Louis, Zhihao Gavin Tang, and Chenzi Zhang

Reference 8

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Observation 0b7a14de-65fd-4c4c-952e-2ef12da59591 · outbound

This paper cites Chandrasekaran and Santosh N.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Chandrasekaran and Santosh N

Reference 9

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Observation cf252d44-73cf-4a63-8476-bba155b703a1 · outbound

This paper cites Theory of capacities.Ann.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Theory of capacities.Ann

Reference 10

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Observation 6173b9be-656f-45fb-89e1-ec246068d274 · outbound

This paper cites A sharp upper bound for the torsional rigidity of rods by means of web functions.Arch.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces A sharp upper bound for the torsional rigidity of rods by means of web functions.Arch

Reference 11

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Observation 527054c7-addf-4b98-bd11-e82c4d5f3061 · outbound

This paper cites The equality case in Cheeger’s and Buser’s inequalities onRCDspaces.J.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces The equality case in Cheeger’s and Buser’s inequalities onRCDspaces.J

Reference 12

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Observation 8a53d650-6934-4860-8a7d-1f1f06f55bc9 · outbound

This paper cites Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators.Math.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Sharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators.Math

Reference 13

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Observation 1e351b87-a893-432e-a0f4-a7ccd02850ff · outbound

This paper cites Hypergraphp-Laplacians and scale spaces.J.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Hypergraphp-Laplacians and scale spaces.J

Reference 14

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This paper cites Elsevier B.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Elsevier B

Reference 15

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Observation 60890532-2936-4d87-9b56-5a3616cc3108 · outbound

This paper cites The total varia- tion on hypergraphs - learning on hypergraphs revisited.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces The total varia- tion on hypergraphs - learning on hypergraphs revisited

Reference 16

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Observation 53b3f496-b403-4cb4-9baa-2e4fdbf28282 · outbound

This paper cites Skew bisubmodularity and valued CSPs.SIAM J.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Skew bisubmodularity and valued CSPs.SIAM J

Reference 17

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Observation 90d46a37-8d24-4c61-8044-2565e4b7d165 · outbound

This paper cites Vietnam Journal of Mathematics, 50(2):323–358, 2022.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Vietnam Journal of Mathematics, 50(2):323–358, 2022

Reference 18

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This paper cites Cambridge Studies in Advanced Mathematics.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Cambridge Studies in Advanced Mathematics

Reference 19

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Observation d4bdafb0-83cf-437e-829c-8b82f4a79cbe · outbound

This paper cites Discrete-to-continuous extensions: Lov´ asz extension and Morse theory.Discrete & Computational Geometry, 72(1):49–72, 2024.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Discrete-to-continuous extensions: Lov´ asz extension and Morse theory.Discrete & Computational Geometry, 72(1):49–72, 2024

Reference 20

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This paper cites Cheeger inequalities for graph limits.Ann.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Cheeger inequalities for graph limits.Ann

Reference 21

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Observation b5c811e1-4699-4a79-bcfe-399dae904539 · outbound

This paper cites Subgraph densities in Markov spaces.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Subgraph densities in Markov spaces

Reference 22

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Observation eed7fb51-49f0-496f-b42d-5f0f07ab0e9e · outbound

This paper cites On nonlinear Rayleigh quotients.Potential Anal., 2(3):199–218, 1993.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces On nonlinear Rayleigh quotients.Potential Anal., 2(3):199–218, 1993

Reference 23

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Observation 1809ec08-f10d-46ac-bae5-a87388ced05b · outbound

This paper cites Hypergraph markov operators, eigenvalues and approximation algorithms.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Hypergraph markov operators, eigenvalues and approximation algorithms

Reference 24

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Observation e16d85ca-37df-41d1-a88f-f2e972035028 · outbound

This paper cites Many sparse cuts via higher eigenvalues.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Many sparse cuts via higher eigenvalues

Reference 25

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Observation 122bac55-42e8-4991-90e2-1d532652eb76 · outbound

This paper cites Submodular functions and convexity.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Submodular functions and convexity

Reference 26

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Observation dc1e1153-fed4-4b35-bf8a-f1031962ce3e · outbound

This paper cites Subgraph densities in signed graphons and the local Simonovits-Sidorenko conjecture.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Subgraph densities in signed graphons and the local Simonovits-Sidorenko conjecture

Reference 27

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Observation 3c0d2bed-d390-4a25-8ead-e1e8966551e9 · outbound

This paper cites American Mathematical Society, Providence, RI, 2012.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces American Mathematical Society, Providence, RI, 2012

Reference 28

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Unavailable: canonical work link unavailable.

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Observation 62c98f9c-0581-413c-9477-f90d60d84e72 · outbound

This paper cites Flows on measurable spaces.Geom.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Flows on measurable spaces.Geom

Reference 29

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Observation a3dd7617-fef3-46ec-a8f1-8a73bcc5de33 · outbound

This paper cites Choquet extension of non-monotone submodular setfunctions.Acta Math.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Choquet extension of non-monotone submodular setfunctions.Acta Math

Reference 30

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Observation cde951b8-1c34-4d52-a947-1e372053c5fd · outbound

This paper cites Submodular setfunctions on sigma-algebras, version 2.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Submodular setfunctions on sigma-algebras, version 2

Reference 31

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Observation dfb62632-a0e6-42c9-8d05-09dc5e0d7aed · outbound

This paper cites P´ olya and S.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces P´ olya and S

Reference 32

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Observation ae0e59bd-a92d-4318-8759-08cf61e1bf56 · outbound

This paper cites Directed submodularity, ditroids and directed submodular flows.Math.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Directed submodularity, ditroids and directed submodular flows.Math

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raw_fallback, observed 2026-08-11T14:21:48.176875Z

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Observation d5d08d51-d7b7-4bc5-b856-0601facb57ba · outbound

This paper cites Sabina de Lis and Sergio Segura de Le´ on.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Sabina de Lis and Sergio Segura de Le´ on

Reference 34

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raw_fallback, observed 2026-08-11T14:21:48.156145Z

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source=pdf_text observed=2026-08-11T14:21:47.907632Z digest=sha256:2ada5687f6127f2587947352b32a79ac05930ceaa932ff072fe3ab822f5bbe4f

Observation edffb80e-1553-4170-bc0a-3abc67680775 · outbound

This paper cites InGeometric science of information.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces InGeometric science of information

Reference 35

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source=pdf_text observed=2026-08-11T14:21:47.913552Z digest=sha256:e4af42836027ffd08d5192145bf9b34befafa644d414d75597945cea9060fab8

Observation ebe5044e-c1a1-4414-ba6c-ac80f3569482 · outbound

This paper cites Trevisan.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Trevisan

Reference 36

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raw_fallback, observed 2026-08-11T14:21:48.118339Z

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source=pdf_text observed=2026-08-11T14:21:47.919656Z digest=sha256:b445e902d6ceea66863cf64b686624adb7f52c0a6ec609750203e758f5b2ca45

Observation 22e809ec-e1d0-4d39-ab28-5dd2a798eadd · outbound

This paper cites On relations between principal eigen- value and torsional rigidity.Commun.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces On relations between principal eigen- value and torsional rigidity.Commun

Reference 37

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raw_fallback, observed 2026-08-11T14:21:48.099617Z

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Observation 3bdc721d-b189-4b00-99b4-227b9cf6b575 · outbound

This paper cites Homological eigenvalues of graphp-Laplacians.J.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Homological eigenvalues of graphp-Laplacians.J

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T14:21:48.078437Z

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source=pdf_text observed=2026-08-11T14:21:47.931787Z digest=sha256:b200f5fe7676bdaf4cb38d3b61696b9efaf79ea25e9be9c425389456da87e29b

Observation 8a0642aa-bc19-43e2-9a8f-4d9349fc26b0 · outbound

This paper cites Graphon as a Bridge between Graphs and Manifolds.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Graphon as a Bridge between Graphs and Manifolds

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-11T14:21:48.033537Z

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source=pdf_text observed=2026-08-11T14:21:47.938810Z digest=sha256:95cd572a47c4e4c5c0b629a80c632cbcd796ebb56706ff489225ed97b6100980

Observation b3cf7b34-a74c-41d6-8887-7aaaef549fc3 · outbound

This paper cites Hidden critical and Morse equivalence behind duality: Theory and Applications.

Choquet-type extension theory of set-pair functions, and applications to graph limits, hypergraphs, Riemannian manifolds and metric measure spaces Hidden critical and Morse equivalence behind duality: Theory and Applications

Reference 40

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verified exact
local_arxiv, observed 2026-08-11T14:21:48.002511Z

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source=pdf_text observed=2026-08-11T14:21:47.946163Z digest=sha256:0b570e4e7ad6c42fc20b2fcf2fbf48474ac5cb5c33d3d8df1b11f35e2ffea03e

Pith citing papers

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