Paper Citation Record · LEDGER

Graphon as a Bridge between Graphs and Manifolds

As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2607.20213.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.20213 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:34:52.939283Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:21:47.938810Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-11T14:21:48.026435Z

Reference resolution

29 of 29 outbound references displayed

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unresolved29
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1c6be05-d63f-44ff-bcbc-fe0fffb2f577 · outbound

This paper cites Scalable implicit graphon learning.

Graphon as a Bridge between Graphs and Manifolds Scalable implicit graphon learning

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:50.548582Z

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Observation bfeb5275-9425-4d9c-843b-e4bf9af99f1a · outbound

This paper cites Towards a theoretical foundation for Laplacian-based manifold methods.

Graphon as a Bridge between Graphs and Manifolds Towards a theoretical foundation for Laplacian-based manifold methods

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:50.589164Z

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Observation d3e1cbd6-d106-4344-adbc-8a74b7e17d05 · outbound

This paper cites Bhattacharya, Anirban Chatterjee, and Svante Janson.

Graphon as a Bridge between Graphs and Manifolds Bhattacharya, Anirban Chatterjee, and Svante Janson

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:50.623742Z

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Observation f50daf05-fed4-41ce-bd74-de5cc62928b0 · outbound

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

Graphon as a Bridge between Graphs and Manifolds Chayes, L´ aszl´ o Lov´ asz, Vera T

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:50.697017Z

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Observation 8f68f064-03d0-4439-ac4d-ad3f1d291ee4 · outbound

This paper cites Oxford University Press, Oxford, 2002.

Graphon as a Bridge between Graphs and Manifolds Oxford University Press, Oxford, 2002

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:50.791358Z

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Observation 41c6edd2-3b03-4ab0-b360-063afaff122b · outbound

This paper cites Bhattacharya.

Graphon as a Bridge between Graphs and Manifolds Bhattacharya

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:50.959322Z

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Observation 7fa6d7b9-806d-41c4-ae5b-45f989a88317 · outbound

This paper cites Birkh¨ auser Boston, Inc., Boston, MA, 1993.

Graphon as a Bridge between Graphs and Manifolds Birkh¨ auser Boston, Inc., Boston, MA, 1993

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:51.097174Z

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Observation 43feae3b-7757-4824-a339-963e30502880 · outbound

This paper cites On topological and metric critical point theory.Journal of Fixed Point Theory and Applications, 7(1):85–102, 2010.

Graphon as a Bridge between Graphs and Manifolds On topological and metric critical point theory.Journal of Fixed Point Theory and Applications, 7(1):85–102, 2010

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:51.220880Z

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Observation c5bdecaf-9101-42b3-af41-0ca3071be1c6 · outbound

This paper cites Limit of minimax values underΓ-convergence.Electron.

Graphon as a Bridge between Graphs and Manifolds Limit of minimax values underΓ-convergence.Electron

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:51.309775Z

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Observation 2067d85e-93e1-4066-9254-10d087050a16 · outbound

This paper cites Quick approximation to matrices and applications.Combinatorica, 19(2):175–220, 1999.

Graphon as a Bridge between Graphs and Manifolds Quick approximation to matrices and applications.Combinatorica, 19(2):175–220, 1999

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:51.400565Z

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Observation 6face78b-84ea-4ddd-8494-10b0243c3b69 · outbound

This paper cites On the rate of convergence of empirical measures in∞- transportation distance.Canad.

Graphon as a Bridge between Graphs and Manifolds On the rate of convergence of empirical measures in∞- transportation distance.Canad

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:51.550463Z

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Observation f6000858-1abc-48f8-b62e-ff606cd16d68 · outbound

This paper cites Continuum limit of total variation on point clouds.Archive for Rational Mechanics and Analysis, 220(1):193–241, 2016.

Graphon as a Bridge between Graphs and Manifolds Continuum limit of total variation on point clouds.Archive for Rational Mechanics and Analysis, 220(1):193–241, 2016

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:51.673368Z

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Observation d49ea3c1-6c33-4029-89fb-ddab95c028a9 · outbound

This paper cites A variational approach to the consistency of spectral clustering.

Graphon as a Bridge between Graphs and Manifolds A variational approach to the consistency of spectral clustering

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:51.747102Z

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Observation b8a2cb6d-55b9-4561-abd5-e7a16353aa13 · outbound

This paper cites Infinite-dimensional finitely forcible graphon.Pro- ceedings of the London Mathematical Society, 118(4):826–856, 2019.

Graphon as a Bridge between Graphs and Manifolds Infinite-dimensional finitely forcible graphon.Pro- ceedings of the London Mathematical Society, 118(4):826–856, 2019

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:51.848310Z

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Observation 713afe3a-c236-4cb4-a6ba-3880402011bc · outbound

This paper cites Compactness and finite forcibility of graphons.Journal of the European Mathematical Society, 21(10):3199–3223, 2019.

Graphon as a Bridge between Graphs and Manifolds Compactness and finite forcibility of graphons.Journal of the European Mathematical Society, 21(10):3199–3223, 2019

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:51.985740Z

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Observation e8a8979e-3558-4a2e-b881-4137fa66b5e2 · outbound

This paper cites Large deviation principles for graphon sampling.Electron.

Graphon as a Bridge between Graphs and Manifolds Large deviation principles for graphon sampling.Electron

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.063240Z

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Observation f3c27f06-9e33-48fa-83e8-b7ebe54d93b3 · outbound

This paper cites Metric critical point theory 1.

Graphon as a Bridge between Graphs and Manifolds Metric critical point theory 1

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.131594Z

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Observation 7ff2ad95-8a79-4262-b7f7-6cab9a0f0c61 · outbound

This paper cites Can smooth graphons in several dimensions be represented by smooth graphons on [0,1]?Examples and Counterexamples, 1:100011, 2021.

Graphon as a Bridge between Graphs and Manifolds Can smooth graphons in several dimensions be represented by smooth graphons on [0,1]?Examples and Counterexamples, 1:100011, 2021

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.201050Z

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Observation 60127c05-d60d-463e-bf76-54e5c8fe4b79 · outbound

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

Graphon as a Bridge between Graphs and Manifolds On nonlinear Rayleigh quotients.Potential Anal., 2(3):199–218, 1993

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.262832Z

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Observation d8476552-030a-4035-904a-244244286a52 · outbound

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

Graphon as a Bridge between Graphs and Manifolds Subgraph densities in signed graphons and the local Simonovits-Sidorenko conjecture

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.294864Z

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Unavailable: canonical work link unavailable.

Observation bda289a7-740d-4f6e-944c-6f0640931798 · outbound

This paper cites Limits of dense graph sequences.J.

Graphon as a Bridge between Graphs and Manifolds Limits of dense graph sequences.J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.366320Z

Source-reported events for the cited work

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Observation 80689dd5-2128-4d8f-bcb9-1112958fb819 · outbound

This paper cites Regularity partitions and the topology of graphons.

Graphon as a Bridge between Graphs and Manifolds Regularity partitions and the topology of graphons

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.434182Z

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Observation 6db477a4-417b-4379-924c-19142a494b0e · outbound

This paper cites Maz´ on, Mayte P´ erez-Llanos, Julio D.

Graphon as a Bridge between Graphs and Manifolds Maz´ on, Mayte P´ erez-Llanos, Julio D

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.498462Z

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Observation 87723a5b-f39e-4826-8bae-2402595df841 · outbound

This paper cites Continuum limit of Lipschitz learning on graphs.Found.

Graphon as a Bridge between Graphs and Manifolds Continuum limit of Lipschitz learning on graphs.Found

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.563862Z

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Observation 9e47e96c-5b80-458f-873b-6b5ff1a1d061 · outbound

This paper cites Multi-class graph clustering via approximated effective𝑝-resistance.

Graphon as a Bridge between Graphs and Manifolds Multi-class graph clustering via approximated effective𝑝-resistance

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.626548Z

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Unavailable: canonical work link unavailable.

Observation 5d5ed70a-deab-409f-8c97-5ebf6ce620dd · outbound

This paper cites Analysis of𝑝-Laplacian regularization in semisupervised learning.

Graphon as a Bridge between Graphs and Manifolds Analysis of𝑝-Laplacian regularization in semisupervised learning

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.749179Z

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Observation 56a0eec9-506e-4fc9-af19-95ada1eb3c57 · outbound

This paper cites Manifold learning in metric spaces.Appl.

Graphon as a Bridge between Graphs and Manifolds Manifold learning in metric spaces.Appl

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.824666Z

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Observation d8cb903d-fe2e-4210-8704-c992cb84b8d6 · outbound

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

Graphon as a Bridge between Graphs and Manifolds Homological eigenvalues of graph𝑝-Laplacians.J

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.899362Z

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Observation 40dd1915-bd26-4dcd-9c37-c8788bb07719 · outbound

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

Graphon as a Bridge between Graphs and Manifolds Hidden critical and Morse equivalence behind duality: Theory and Applications

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T10:34:52.939283Z

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Pith citing papers

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

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

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.