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Paper Citation Record · LEDGER

Lower Ricci Curvature for Hypergraphs

As of 14 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2506.03943.

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

pith.paper-citation-record.v1
2506.03943 v1

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:00:03.186154Z

measured 60 of 60 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

60 of 60 outbound references displayed

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External citation measurements

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Outbound references

Observation 097e1f05-7e91-4f0c-8429-1e8e96e52829 · outbound

This paper cites The temporal dynamics of group interactions in higher-order social networks.Nature Communications, 15(1):7391, 2024.

Lower Ricci Curvature for Hypergraphs The temporal dynamics of group interactions in higher-order social networks.Nature Communications, 15(1):7391, 2024

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b9f4beb4-374c-4df6-a6bf-a023057af022 · outbound

This paper cites Social influence maximization in hypergraph in social networks.IEEE Transactions on Network Science and Engineering, 6(4):801–811, 2018.

Lower Ricci Curvature for Hypergraphs Social influence maximization in hypergraph in social networks.IEEE Transactions on Network Science and Engineering, 6(4):801–811, 2018

Reference 2

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Source-reported events for the cited work

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Observation c70adcea-708a-4cb8-9bcb-ec665f3c6703 · outbound

This paper cites Hypergraph topological quantities for tagged social networks.

Lower Ricci Curvature for Hypergraphs Hypergraph topological quantities for tagged social networks

Reference 3

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Observation ce57f889-50e1-4c28-a36d-b9ce9d853fcd · outbound

This paper cites Hypergraph collaborative network on vertices and hyperedges.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(3):3245–3258, 2022.

Lower Ricci Curvature for Hypergraphs Hypergraph collaborative network on vertices and hyperedges.IEEE Transactions on Pattern Analysis and Machine Intelligence, 45(3):3245–3258, 2022

Reference 4

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 6ad79337-e718-4f61-bab5-3027632ae36d · outbound

This paper cites Relational hyperevent models for the coevolution of coauthoring and citation networks.Journal of the Royal Statistical Society Series A: Statistics in Society, 188(2):583–607, 2025.

Lower Ricci Curvature for Hypergraphs Relational hyperevent models for the coevolution of coauthoring and citation networks.Journal of the Royal Statistical Society Series A: Statistics in Society, 188(2):583–607, 2025

Reference 5

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation ba94aee4-8a66-4258-9a80-8768af85e51a · outbound

This paper cites Integration of protein sequence and protein–protein interaction data by hypergraph learning to identify novel protein complexes.

Lower Ricci Curvature for Hypergraphs Integration of protein sequence and protein–protein interaction data by hypergraph learning to identify novel protein complexes

Reference 6

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source=pdf_text observed=2026-08-07T11:00:03.025548Z digest=sha256:80e0a24bdbd1ee4211e1b6e8cbcb999e7dc67989cc8721f499def782ee6e0993

Observation b46c4e97-5554-4d99-a10c-dc665b7a36be · outbound

This paper cites A hierarchical graph neural network framework for predicting protein-protein interaction modulators with functional group information and hypergraph structure.

Lower Ricci Curvature for Hypergraphs A hierarchical graph neural network framework for predicting protein-protein interaction modulators with functional group information and hypergraph structure

Reference 7

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source=pdf_text observed=2026-08-07T11:00:03.028277Z digest=sha256:b354be68951165ec9073dd646278b8f9a5ae99cd3bcca5cbb718f6be45e4817b

Observation f713a8de-b207-48de-bf5e-d3e80ded3a40 · outbound

This paper cites Elsevier, 1984.

Lower Ricci Curvature for Hypergraphs Elsevier, 1984

Reference 8

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no resolver link, observed 2026-08-07T11:00:03.031251Z

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source=pdf_text observed=2026-08-07T11:00:03.031251Z digest=sha256:f209c83dbbb014dbe4e5208177cc0b37f830e9a7a01ca23171fd90a708964628

Observation b70245fb-4358-456f-afd0-f9d95ff8df9d · outbound

This paper cites Hypergraph theory.An introduction.

Lower Ricci Curvature for Hypergraphs Hypergraph theory.An introduction

Reference 9

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no resolver link, observed 2026-08-07T11:00:03.034263Z

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source=pdf_text observed=2026-08-07T11:00:03.034263Z digest=sha256:f2aad04a8c6fe84174f647e46b0fed5bbaafba720118ca6e89cac33180f3479a

Observation de1a9480-0e37-4ccc-aaa0-a57e95ed1100 · outbound

This paper cites Tensor entropy for uniform hypergraphs.IEEE Transactions on Network Science and Engineering, 7(4):2889–2900, 2020.

Lower Ricci Curvature for Hypergraphs Tensor entropy for uniform hypergraphs.IEEE Transactions on Network Science and Engineering, 7(4):2889–2900, 2020

Reference 10

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raw_fallback, observed 2026-08-07T11:00:03.561877Z

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Observation d5e19c6f-fc65-4022-8416-c31b933113bf · outbound

This paper cites Controllability of hypergraphs.IEEE Transactions on Network Science and Engineering, 8(2):1646–1657, 2021.

Lower Ricci Curvature for Hypergraphs Controllability of hypergraphs.IEEE Transactions on Network Science and Engineering, 8(2):1646–1657, 2021

Reference 11

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Observation 92d2dbff-15ed-4407-bd54-0c29a189bdc6 · outbound

This paper cites Diversities and the geometry of hypergraphs.Discrete Mathematics & Theoretical Computer Science, 16(PRIMA 2013), 2014.

Lower Ricci Curvature for Hypergraphs Diversities and the geometry of hypergraphs.Discrete Mathematics & Theoretical Computer Science, 16(PRIMA 2013), 2014

Reference 12

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation cd09cba7-7817-4f3a-9452-c8da6ee49434 · outbound

This paper cites Graph geometry interaction learning.

Lower Ricci Curvature for Hypergraphs Graph geometry interaction learning

Reference 13

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Observation 9d13a6b2-b289-448e-8a27-d31f379a9fca · outbound

This paper cites Network geometry inference using common neighbors.Physical Review E, 92(2):022807, 2015.

Lower Ricci Curvature for Hypergraphs Network geometry inference using common neighbors.Physical Review E, 92(2):022807, 2015

Reference 14

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raw_fallback, observed 2026-08-07T11:00:03.533085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation d433f9c4-0449-458c-b083-02020ec464e8 · outbound

This paper cites Geometric deep learning on graphs and manifolds using mixture model cnns.

Lower Ricci Curvature for Hypergraphs Geometric deep learning on graphs and manifolds using mixture model cnns

Reference 15

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source=pdf_text observed=2026-08-07T11:00:03.051300Z digest=sha256:757981e71522974ad0514e86ee61f2a777dec98fd16dc996dcb8df32e44b9642

Observation 2fc142de-add6-4dfb-afd5-281ec45fd109 · outbound

This paper cites Curvature measures.Transactions of the American Mathematical Society, 93(3):418–491, 1959.

Lower Ricci Curvature for Hypergraphs Curvature measures.Transactions of the American Mathematical Society, 93(3):418–491, 1959

Reference 16

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source=pdf_text observed=2026-08-07T11:00:03.054390Z digest=sha256:0b18bfc57b6aa30a009315449451bf4f6074fbd2bff0ed8c7f22d9a6a3647225

Observation 9e6581ed-99e2-4fa3-bfaa-659748124343 · outbound

This paper cites Curvature graph network.

Lower Ricci Curvature for Hypergraphs Curvature graph network

Reference 17

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source=pdf_text observed=2026-08-07T11:00:03.057041Z digest=sha256:f2bdbbebc5a9f322a467870f41224e9f70a0ae46ac7a42c825131b9f0b1fad72

Observation 4d557e5d-c82a-47a2-972e-3aff33387169 · outbound

This paper cites Ricci curvature of Markov chains on metric spaces.Journal of Functional Analysis, 256(3):810–864, 2009.

Lower Ricci Curvature for Hypergraphs Ricci curvature of Markov chains on metric spaces.Journal of Functional Analysis, 256(3):810–864, 2009

Reference 18

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Observation 37deceac-cfb1-4b46-bb31-6e4fc498bd20 · outbound

This paper cites A survey of Ricci curvature for metric spaces and Markov chains.

Lower Ricci Curvature for Hypergraphs A survey of Ricci curvature for metric spaces and Markov chains

Reference 19

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raw_fallback, observed 2026-08-07T11:00:03.507739Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.061924Z digest=sha256:c5036128230bfd5a31f5a628f63229f7267a18b44847b908b049907b7c3cedcb

Observation d8fef4b6-0790-4ecd-9815-1017e5a8f76e · outbound

This paper cites Ricci curvature for metric-measure spaces via optimal transport.Annals of Mathematics, pages 903–991, 2009.

Lower Ricci Curvature for Hypergraphs Ricci curvature for metric-measure spaces via optimal transport.Annals of Mathematics, pages 903–991, 2009

Reference 20

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raw_fallback, observed 2026-08-07T11:00:03.498914Z

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source=pdf_text observed=2026-08-07T11:00:03.065346Z digest=sha256:30cff5bade6879480465488547197a16264820daeafb24c5b0b7c428bbdb7454

Observation ca9dc927-0383-4001-908c-2ce9977994f5 · outbound

This paper cites Ricci curvature of graphs.Tohoku Mathematical Journal, Second Series, 63(4):605–627, 2011.

Lower Ricci Curvature for Hypergraphs Ricci curvature of graphs.Tohoku Mathematical Journal, Second Series, 63(4):605–627, 2011

Reference 21

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source=pdf_text observed=2026-08-07T11:00:03.068698Z digest=sha256:d2992b673140ad8d164df62f39bcc456b566bbe66d4612c31923e3fa73edac62

Observation 5b6458e4-64fe-4ff9-959d-aaf27e7f3549 · outbound

This paper cites Mitigating over-smoothing and over-squashing using augmentations of Forman- Ricci curvature.

Lower Ricci Curvature for Hypergraphs Mitigating over-smoothing and over-squashing using augmentations of Forman- Ricci curvature

Reference 22

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source=pdf_text observed=2026-08-07T11:00:03.072442Z digest=sha256:6a1fe3cb432d5886a79e0295fad0fec68313a7714089b495d5f94565b0cc9f10

Observation 7533efa8-3e41-42bf-86c8-bba3e6ac8633 · outbound

This paper cites Forman curvature for complex networks.Journal of Statistical Mechanics: Theory and Experiment, 2016(6):063206, 2016.

Lower Ricci Curvature for Hypergraphs Forman curvature for complex networks.Journal of Statistical Mechanics: Theory and Experiment, 2016(6):063206, 2016

Reference 23

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raw_fallback, observed 2026-08-07T11:00:03.474963Z

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source=pdf_text observed=2026-08-07T11:00:03.075261Z digest=sha256:c9334d9d39e382fcefa1c68257d15edaefb6065a1cdbd03e3c99d931bff4e434

Observation 399e97b1-686e-447c-96e7-813a576670be · outbound

This paper cites Ollivier-Ricci curvature-based method to community detection in complex networks.Scientific reports, 9(1):9800, 2019.

Lower Ricci Curvature for Hypergraphs Ollivier-Ricci curvature-based method to community detection in complex networks.Scientific reports, 9(1):9800, 2019

Reference 24

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source=pdf_text observed=2026-08-07T11:00:03.078009Z digest=sha256:3eab10d325a8835a556ef80de531d58bde3ab56f870e56162b05079157cff353

Observation 5335ad1a-14d4-439f-99cd-f097ec835354 · outbound

This paper cites Lower Ricci Curvature for Efficient Community Detection.

Lower Ricci Curvature for Hypergraphs Lower Ricci Curvature for Efficient Community Detection

Reference 25

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no resolver link, observed 2026-08-07T11:00:03.081694Z

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source=pdf_text observed=2026-08-07T11:00:03.081694Z digest=sha256:79f4d5c137f76afd8436d702daa74632f95e0d9c2e442ed21eab1933a1e94d2c

Observation 92a548f5-7068-4044-8737-81661155ba37 · outbound

This paper cites Curvature-based clustering on graphs.Journal of Machine Learning Research, 26(52):1–67, 2025.

Lower Ricci Curvature for Hypergraphs Curvature-based clustering on graphs.Journal of Machine Learning Research, 26(52):1–67, 2025

Reference 26

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raw_fallback, observed 2026-08-07T11:00:03.463974Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation efcb088e-de22-4f37-8a51-df97d35dd54c · outbound

This paper cites Mixed-membership community detection via line graph curvature.

Lower Ricci Curvature for Hypergraphs Mixed-membership community detection via line graph curvature

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.457316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.087596Z digest=sha256:b690dba9f7a8551fec3bb90bb94085d1972c65bae3ac02f43311aa2fadeb2c3c

Observation c17809c2-6cd9-4fa0-8d71-c6ad069269f1 · outbound

This paper cites Graph curvature for differentiating cancer networks.Scientific reports, 5(1):12323, 2015.

Lower Ricci Curvature for Hypergraphs Graph curvature for differentiating cancer networks.Scientific reports, 5(1):12323, 2015

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.450686Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.091869Z digest=sha256:d3bed571f25fe514ddcae8d4f3c63bf8f31502757c0b34b246112a216fd4fa8b

Observation 91b55ebd-e98a-43d1-a1c6-9b3891e7ae26 · outbound

This paper cites Characterizing cancer drug response and biological correlates: a geometric network approach.Scientific reports, 8(1):6402, 2018.

Lower Ricci Curvature for Hypergraphs Characterizing cancer drug response and biological correlates: a geometric network approach.Scientific reports, 8(1):6402, 2018

Reference 29

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raw_fallback, observed 2026-08-07T11:00:03.443413Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.094989Z digest=sha256:9127927d4ec6fb008cd7797b8a48dab2b175c01cd6375c578d17e51d99738e63

Observation 17b57633-397a-4404-8706-b2068fc12a89 · outbound

This paper cites an unresolved cited work.

Lower Ricci Curvature for Hypergraphs Unresolved cited work

Reference 30

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unresolved
raw_fallback, observed 2026-08-07T11:00:03.435655Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.097911Z digest=sha256:8f8c7d8b05bff02d8a8f4699897b45395085dd731c9cd169efee3f64f6b77565

Observation f2c3aa9f-b208-4fc5-ae51-6d97531bee22 · outbound

This paper cites Georgiou, Allen Tannenbaum, and Christophe Lenglet.

Lower Ricci Curvature for Hypergraphs Georgiou, Allen Tannenbaum, and Christophe Lenglet

Reference 31

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verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.429204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.100839Z digest=sha256:4ae32110de6d9fafd0febe4203c2db0c9436ed07f15862098c7da7119ef20fb4

Observation 23aceb2b-9c32-42e6-a1f0-59361e1dc169 · outbound

This paper cites Measuring road network topology vulnerability by Ricci curvature.Physica A: Statistical Mechanics and Its Applications, 527:121071, 2019.

Lower Ricci Curvature for Hypergraphs Measuring road network topology vulnerability by Ricci curvature.Physica A: Statistical Mechanics and Its Applications, 527:121071, 2019

Reference 32

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raw_fallback, observed 2026-08-07T11:00:03.421571Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.103863Z digest=sha256:db3d2a283e961239a6f1823ecd7cf1b473bafda922dde6a3383b90ddfafea711

Observation 0c44f144-9fa3-40b1-8181-b82faa0a6bf8 · outbound

This paper cites Vulnerability analysis method based on network and copula entropy.Entropy, 26(3):192, 2024.

Lower Ricci Curvature for Hypergraphs Vulnerability analysis method based on network and copula entropy.Entropy, 26(3):192, 2024

Reference 33

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verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.413955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.106810Z digest=sha256:e375204c59d2846101ca833388fd3d572e730d38012ccea51495d47d55770732

Observation 69a9a76b-70d4-4517-8dcb-fb9e1fc52972 · outbound

This paper cites Analyzing neural network robustness using graph curvature.

Lower Ricci Curvature for Hypergraphs Analyzing neural network robustness using graph curvature

Reference 34

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verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.406657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.109545Z digest=sha256:9a4e528377c23a160aa9fc1d3d6e2659a70bdae78ac7d972896533f10e2ec0c5

Observation 12e12ae9-9ad2-4a66-abf8-a2b586dfd701 · outbound

This paper cites Ollivier-Ricci curvature approach to cost-effective power grid congestion management.

Lower Ricci Curvature for Hypergraphs Ollivier-Ricci curvature approach to cost-effective power grid congestion management

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.399476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.112451Z digest=sha256:363544cb5980ec2d411a6214a5d0186a3cf36b75f014b5fa57b0f3ec808025d5

Observation 935cb4c4-4453-4426-87ef-32934446eae3 · outbound

This paper cites Understanding over-squashing and bottlenecks on graphs via curvature.

Lower Ricci Curvature for Hypergraphs Understanding over-squashing and bottlenecks on graphs via curvature

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T11:00:03.115446Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:00:03.115446Z digest=sha256:bcf6646ea73361a5f8e8c2a39ef9c646f995be6e22a9560d5006557f861df6de

Observation 6e8b5468-f489-4d51-91e5-79fcde809335 · outbound

This paper cites Curvature graph neural network.Information Sciences, 592:50–66, 2022.

Lower Ricci Curvature for Hypergraphs Curvature graph neural network.Information Sciences, 592:50–66, 2022

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.391179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.118510Z digest=sha256:28c4aa8ff6ec0c2263fe1964986c18ccbf58262431b7a27164f0cb12908db909

Observation 9c7b9117-b188-4c61-a457-a86222ad8288 · outbound

This paper cites A self-supervised mixed- curvature graph neural network.

Lower Ricci Curvature for Hypergraphs A self-supervised mixed- curvature graph neural network

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.383431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.121448Z digest=sha256:efb0ad4f3ce563d1709fb06b20e7edf392749425ed0f8319942bd1b3551c688e

Observation bcf43254-8f12-4003-a1bd-bbfeb00aa024 · outbound

This paper cites Curvdrop: A Ricci curva- ture based approach to prevent graph neural networks from over-smoothing and over-squashing.

Lower Ricci Curvature for Hypergraphs Curvdrop: A Ricci curva- ture based approach to prevent graph neural networks from over-smoothing and over-squashing

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.376446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.124791Z digest=sha256:ad633ea45f9b9eecb8a734fb594e63763980248830ebbfa12be6327dde6f3915

Observation c675823d-bc8e-4e51-b090-9c025871c910 · outbound

This paper cites Ricci curvature of the internet topology.

Lower Ricci Curvature for Hypergraphs Ricci curvature of the internet topology

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.368898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.127458Z digest=sha256:29d251d5e9fca62467448b8d6e23fb15184316eba1f7c7925e50cfa97b8cdb9f

Observation fc69a94d-1f0d-4475-a3ce-bc5919df4100 · outbound

This paper cites Comparative analysis of two discretizations of Ricci curvature for complex networks.Scientific reports, 8(1):8650, 2018.

Lower Ricci Curvature for Hypergraphs Comparative analysis of two discretizations of Ricci curvature for complex networks.Scientific reports, 8(1):8650, 2018

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.362628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.130201Z digest=sha256:7c3110e362351904620b8ee3b2d20e3f4ccb3fa51f63268faabe75b8d6908019

Observation 01e8d01c-65f2-430a-9bfd-a23c691d273b · outbound

This paper cites ORCO: Ollivier-Ricci Curvature-Omics—an unsupervised method for analyzing robustness in biological systems.Bioinformatics, 41(3):btaf093, 2025.

Lower Ricci Curvature for Hypergraphs ORCO: Ollivier-Ricci Curvature-Omics—an unsupervised method for analyzing robustness in biological systems.Bioinformatics, 41(3):btaf093, 2025

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.355657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.133053Z digest=sha256:5d334b1fc4432436c969ae2d6aeee20d59537cebc4e3f8e51c4d6db4083f9b4a

Observation f49b4edb-5202-4ccf-b226-09a01ec47a45 · outbound

This paper cites Inferring functional communities from partially observed biological networks exploiting geometric topology and side information.Scientific Reports, 12(1):10883, 2022.

Lower Ricci Curvature for Hypergraphs Inferring functional communities from partially observed biological networks exploiting geometric topology and side information.Scientific Reports, 12(1):10883, 2022

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.347328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.135650Z digest=sha256:9b3cb22a52d2359d02b58b922a32dc42a21b6d32917d8bfd4b451f359cca0aa1

Observation 1151ea08-2625-4417-a85e-5107c7156b5e · outbound

This paper cites Ollivier Ricci curvature of directed hypergraphs.Scientific Reports, 10(1):12466, 2020.

Lower Ricci Curvature for Hypergraphs Ollivier Ricci curvature of directed hypergraphs.Scientific Reports, 10(1):12466, 2020

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.339437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.138497Z digest=sha256:061f83480673d743499c11f9023e6c2b823dc1c95e30ffadeb589cd78de2a3e3

Observation 91c74a60-c680-4774-90fe-d1fc6ba7ccdc · outbound

This paper cites Ollivier-Ricci curvature for hypergraphs: A unified framework.

Lower Ricci Curvature for Hypergraphs Ollivier-Ricci curvature for hypergraphs: A unified framework

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.331142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.141467Z digest=sha256:47aa31492ecb7319105d30b985fa3d177da420e88df7be424b664e0949478145

Observation 22cecd38-875d-427e-bfa3-297a279ef8fd · outbound

This paper cites Forman–Ricci curvature for hypergraphs.

Lower Ricci Curvature for Hypergraphs Forman–Ricci curvature for hypergraphs

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.322797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.144554Z digest=sha256:b1c1cbaea4a3df57a5b8df6e47382227ffd891d53416c9ca50330639c23ec504

Observation 4f20f75e-b9aa-42c2-9ebb-a2794c3005ea · outbound

This paper cites Consistency of spectral partitioning of uniform hypergraphs under planted partition model.Advances in Neural Information Processing Systems, 27, 2014.

Lower Ricci Curvature for Hypergraphs Consistency of spectral partitioning of uniform hypergraphs under planted partition model.Advances in Neural Information Processing Systems, 27, 2014

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.314346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.147055Z digest=sha256:67e2f56c6cf466b1602d58c08dba4e7cf7bb67b7a2ae07ff5f21354b98d8114c

Observation 40656400-3af5-4963-ad16-4fae280357aa · outbound

This paper cites Contact patterns in a high school: A comparison between data collected using wearable sensors, contact diaries and friendship surveys.PLOS ONE, 10(9):e0136497, 2015.

Lower Ricci Curvature for Hypergraphs Contact patterns in a high school: A comparison between data collected using wearable sensors, contact diaries and friendship surveys.PLOS ONE, 10(9):e0136497, 2015

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.305670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.150386Z digest=sha256:810287ea6a391f53bcd8d19bc1a7129fd5cf7959679f2f7c54d764733276f75e

Observation d0631ccb-445b-40d6-9826-5ba59a543109 · outbound

This paper cites Hypergraph clustering: from blockmodels to modularity.

Lower Ricci Curvature for Hypergraphs Hypergraph clustering: from blockmodels to modularity

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.297970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.153266Z digest=sha256:312ee5d7222a995a472fa0976af8f0b55ad4bf64f49e6d1d7fa6a37daf0ea942

Observation 0e568a3c-5307-4e21-89dc-f5b4a563d572 · outbound

This paper cites Spring Embedders and Force Directed Graph Drawing Algorithms.

Lower Ricci Curvature for Hypergraphs Spring Embedders and Force Directed Graph Drawing Algorithms

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-07T11:00:03.156153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:00:03.156153Z digest=sha256:dd9c72ab3784a321b0077bdcfe52eae5ef8d1347bbd865bf8d53fd81ad0f8530

Observation ba760bb3-3e0c-4fc0-971d-5cc06f19bcfd · outbound

This paper cites Co-citation and co-authorship networks of statisticians.Journal of Business & Economic Statistics, 40(2):469–485, 2022.

Lower Ricci Curvature for Hypergraphs Co-citation and co-authorship networks of statisticians.Journal of Business & Economic Statistics, 40(2):469–485, 2022

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.290870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.160062Z digest=sha256:c262e1dc20a8a0190e60f1b0f4c1f779ac9bcd35098868606ec389533477bb7f

Observation a8d134f3-d351-413d-bdfe-48e3382f4481 · outbound

This paper cites Clustering in graphs and hypergraphs with categorical edge labels.

Lower Ricci Curvature for Hypergraphs Clustering in graphs and hypergraphs with categorical edge labels

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.283341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.162634Z digest=sha256:b34ba5ae670a2dffa3fcaf5af064e25e6c2dafee9d8311a02f52b35cfecc412e

Observation 6e61bfcc-ce49-468e-a29e-2ff617c55319 · outbound

This paper cites An overview of microsoft academic service (MAS) and applications.

Lower Ricci Curvature for Hypergraphs An overview of microsoft academic service (MAS) and applications

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.275566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.164948Z digest=sha256:c3a6ad819f31cafb5d83a3f48b7d4695097bbbf9d0734570a987118221f5de42

Observation 3d8623ba-ae7d-4420-b871-955455f87c17 · outbound

This paper cites Comparing partitions.Journal of classification, 2:193–218, 1985.

Lower Ricci Curvature for Hypergraphs Comparing partitions.Journal of classification, 2:193–218, 1985

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-07T11:00:03.168239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:00:03.168239Z digest=sha256:24ea34f1e7cb17affc6dfbb3ab920613831ad39cabecedcae39963cd0a99e3d9

Observation d201c5ce-5f6d-402c-8494-847dd6d640cb · outbound

This paper cites an unresolved cited work.

Lower Ricci Curvature for Hypergraphs Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:00:03.263391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.170772Z digest=sha256:8a09b27c48d43eff160f4764e873dd4a21db4da6f49accab74642b42892741a9

Observation e2983e52-724e-4add-a4e8-4af781bbe892 · outbound

This paper cites Dually chordal graphs.SIAM journal on discrete mathematics, 11(3):437–455, 1998.

Lower Ricci Curvature for Hypergraphs Dually chordal graphs.SIAM journal on discrete mathematics, 11(3):437–455, 1998

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.255867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.173591Z digest=sha256:8440fc62a38e6d48506f948f762bc9760822367e76fb82a3fbe2a93ee02985f5

Observation 94530106-a9f2-48a3-8997-555fc12261dd · outbound

This paper cites Radial basis functions.Acta numerica, 9:1–38, 2000.

Lower Ricci Curvature for Hypergraphs Radial basis functions.Acta numerica, 9:1–38, 2000

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-07T11:00:03.176715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:00:03.176715Z digest=sha256:e19fd0842b7ad2bebd4dd949c448ffb83ed7d259d6d21ddb6343ebc4a8acceb5

Observation e20b2751-28ad-481a-9fed-e3b5e29c797a · outbound

This paper cites Kernel principal component analysis.

Lower Ricci Curvature for Hypergraphs Kernel principal component analysis

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-07T11:00:03.179404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T11:00:03.179404Z digest=sha256:af96496ae2816788e956fec2fae43a08928113d3de31d61fdc850e5099f8e770

Observation 4a731698-6b75-41cb-9b49-b6a731860286 · outbound

This paper cites Some methods for classification and analysis of multivariate observations.

Lower Ricci Curvature for Hypergraphs Some methods for classification and analysis of multivariate observations

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.240816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.182758Z digest=sha256:5b761a7037e8ced1896cedd9e44919eb2c33646eb5ca18771626972f6b7a38b3

Observation 03e8a2e2-eccf-4bb1-a4ec-b8306d83d05e · outbound

This paper cites Lower Ricci Curvature for Hypergraphs.

Lower Ricci Curvature for Hypergraphs Lower Ricci Curvature for Hypergraphs

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:00:03.232618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T11:00:03.186154Z digest=sha256:8dc3f5234e8246bdab44352926886f9f43180bf711b743781c703caffb4db08d

Pith citing papers

No inbound Pith citation observations are available.