Paper Citation Record · LEDGER

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior

As of 16 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 3 inbound Pith citation observations for arXiv:2601.10522.

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

pith.paper-citation-record.v1
2601.10522 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T10:28:50.927405Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:31:46.506375Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T23:43:17.966080Z

Reference resolution

34 of 34 outbound references displayed

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External citation measurements

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Outbound references

Observation 3aaa973f-418b-4ab0-89dd-95d3e82fae75 · outbound

This paper cites Networks beyond pairwise interactions: Struc- ture and dynamics.Physics reports, 874:1–92, 2020.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Networks beyond pairwise interactions: Struc- ture and dynamics.Physics reports, 874:1–92, 2020

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:47.920710Z

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Observation fa3bd1a8-aa2f-44f5-afa1-078d3050099c · outbound

This paper cites The physics of higher-order interactions in complex systems.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior The physics of higher-order interactions in complex systems

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.033250Z

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Observation d0b87637-9d13-46c3-a9c7-dbff5bada09a · outbound

This paper cites Simplicial models of social contagion.Nature communications, 10(1):2485, 2019.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Simplicial models of social contagion.Nature communications, 10(1):2485, 2019

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.125157Z

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Observation 0cde9378-a12d-4338-8c96-18208800d990 · outbound

This paper cites Multistability, intermittency, and hybrid transitions in social contagion models on hypergraphs.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Multistability, intermittency, and hybrid transitions in social contagion models on hypergraphs

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.221187Z

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Observation f101fd6e-521f-4c92-afc5-5d71c67df6a2 · outbound

This paper cites Higher order interac- tions in complex networks of phase oscillators promote abrupt synchronization switching.Communications Physics, 3(1):218, 2020.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Higher order interac- tions in complex networks of phase oscillators promote abrupt synchronization switching.Communications Physics, 3(1):218, 2020

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.281758Z

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Observation db021feb-b510-4c40-9542-9dfab4d0bdc0 · outbound

This paper cites Explosive cooperation in social dilemmas on higher-order networks.Physical Review Letters, 132(16):167401, 2024.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Explosive cooperation in social dilemmas on higher-order networks.Physical Review Letters, 132(16):167401, 2024

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.330682Z

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Observation 37a22a1e-5cb4-4c27-a07b-ae5eb48db418 · outbound

This paper cites Higher-order ising model on hy- pergraphs.Physical Review E, 112(2):L022301, 2025.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Higher-order ising model on hy- pergraphs.Physical Review E, 112(2):L022301, 2025

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.402063Z

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Observation 60dfd74e-4079-4121-b63e-bbca6d4c86ad · outbound

This paper cites A universal route to ex- plosive phenomena.Science advances, 7(16):eabe3824, 2021.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior A universal route to ex- plosive phenomena.Science advances, 7(16):eabe3824, 2021

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.494531Z

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Observation f5a2208c-cb9a-4415-9e7d-31122eb8458f · outbound

This paper cites Social polarization promoted by sparse higher- order interactions.Communications Physics, 2025.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Social polarization promoted by sparse higher- order interactions.Communications Physics, 2025

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.590447Z

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Observation 692e8127-c26c-41de-842a-faa9414fa8e5 · outbound

This paper cites Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes.Nature communica- tions, 14(1):1605, 2023.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes.Nature communica- tions, 14(1):1605, 2023

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.694096Z

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Observation 4597126c-3e01-4484-b493-168d2e367353 · outbound

This paper cites Hyperedge overlap drives explosive transitions in systems with higher-order interactions.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Hyperedge overlap drives explosive transitions in systems with higher-order interactions

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.820861Z

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Observation 739a107a-5715-4059-a12e-be0b69fd5dce · outbound

This paper cites Hyperedge overlap drives synchronizability of systems with higher-order interac- tions.Physical Review E, 111(3):034302, 2025.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Hyperedge overlap drives synchronizability of systems with higher-order interac- tions.Physical Review E, 111(3):034302, 2025

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:48.909354Z

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Observation 6ef642c6-0ab2-4b31-be3d-f7defa958e27 · outbound

This paper cites Triadic ap- proximation reveals the role of interaction overlap on the spread of complex contagions on higher-order networks.Physical Re- view Letters, 132(7):077401, 2024.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Triadic ap- proximation reveals the role of interaction overlap on the spread of complex contagions on higher-order networks.Physical Re- view Letters, 132(7):077401, 2024

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.015274Z

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Observation e9e504fc-2635-4809-b971-d576d550b8f7 · outbound

This paper cites Contagion dynamics on hypergraphs with nested hyperedges.Physical Review E, 108(3):034313, 2023.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Contagion dynamics on hypergraphs with nested hyperedges.Physical Review E, 108(3):034313, 2023

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.136539Z

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Observation 103ef228-115a-4995-83f8-0f1fe8415435 · outbound

This paper cites Disentangling the role of heterogeneity and hyperedge overlap in explosive contagion on higher-order net- works.Physical Review Letters, 135(20):207401, 2025.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Disentangling the role of heterogeneity and hyperedge overlap in explosive contagion on higher-order net- works.Physical Review Letters, 135(20):207401, 2025

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.277616Z

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Observation 04093354-18dc-44d7-9181-4d2598e4d16e · outbound

This paper cites The effect of hetero- geneity on hypergraph contagion models.Chaos: An Interdis- ciplinary Journal of Nonlinear Science, 30(10), 2020.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior The effect of hetero- geneity on hypergraph contagion models.Chaos: An Interdis- ciplinary Journal of Nonlinear Science, 30(10), 2020

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.422065Z

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Observation 74b2f0ca-9d63-4537-adb2-f5d2ef587cd2 · outbound

This paper cites Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Loops, not groups: Long cycles are responsible for discontinuous phase transitions in higher-order network contagions

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.539211Z

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Observation fcc7e754-f547-4668-a666-de71c37044cb · outbound

This paper cites Higher-order motif analysis in hypergraphs.Communications Physics, 5(1):79, 2022.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Higher-order motif analysis in hypergraphs.Communications Physics, 5(1):79, 2022

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.593126Z

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Observation 82f6a42d-1c24-4dc5-b338-1e3ee5b89893 · outbound

This paper cites The simpliciality of higher-order networks.EPJ data science, 13(1):17, 2024.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior The simpliciality of higher-order networks.EPJ data science, 13(1):17, 2024

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.688784Z

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Observation 9e2060a0-fdd0-4033-a4a1-a9b50a298b8a · outbound

This paper cites Encapsulation struc- ture and dynamics in hypergraphs.Journal of Physics: Com- plexity, 4(4):045007, 2023.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Encapsulation struc- ture and dynamics in hypergraphs.Journal of Physics: Com- plexity, 4(4):045007, 2023

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.744771Z

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Observation 30b7d11f-2659-4d39-938e-b240024a9e44 · outbound

This paper cites Struc- tural reducibility of hypergraphs.Physical Review Letters, 135(24):247401, 2025.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Struc- tural reducibility of hypergraphs.Physical Review Letters, 135(24):247401, 2025

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.855795Z

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Observation c3e4a318-546e-486f-895e-102ecdce9e5b · outbound

This paper cites A pair-based approxima- tion for simplicial contagion.Chaos, Solitons & Fractals, 199:116776, 2025.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior A pair-based approxima- tion for simplicial contagion.Chaos, Solitons & Fractals, 199:116776, 2025

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.905665Z

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Observation 68fcc86f-53e4-4888-85a7-e4589ee2c200 · outbound

This paper cites The effects of local spatial structure on epidemiological invasions.Proceedings of the Royal Society of London.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior The effects of local spatial structure on epidemiological invasions.Proceedings of the Royal Society of London

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:49.989325Z

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Unavailable: canonical work link unavailable.

Observation 594124fb-2e46-41bf-9cca-ad1d2d44da6b · outbound

This paper cites Mathemat- ics of epidemics on networks.Cham: Springer, 598(2017):31, 2017.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Mathemat- ics of epidemics on networks.Cham: Springer, 598(2017):31, 2017

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:50.040479Z

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Observation af957b3c-276d-4dcd-88cd-8d63b1416886 · outbound

This paper cites A motif-based approach to network epidemics.Bul- 8 letin of Mathematical Biology, 71(7):1693–1706, 2009.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior A motif-based approach to network epidemics.Bul- 8 letin of Mathematical Biology, 71(7):1693–1706, 2009

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:50.095957Z

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Observation 87591888-ccac-4fc0-8a35-68e7844e86a4 · outbound

This paper cites Dynamical mod- els of tuberculosis and their applications.Math.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Dynamical mod- els of tuberculosis and their applications.Math

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:50.177484Z

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Observation c8c7a995-685f-4c9a-a324-a7ce1734e582 · outbound

This paper cites Springer, 1998.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Springer, 1998

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:50.215464Z

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Observation 6c092810-8991-44aa-aa45-884c2d2b64e3 · outbound

This paper cites Spread of infectious disease through clus- tered populations.Journal of the Royal Society Interface, 6(41):1121–1134, 2009.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Spread of infectious disease through clus- tered populations.Journal of the Royal Society Interface, 6(41):1121–1134, 2009

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:50.278506Z

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Observation c1036994-7314-4f0a-8f1b-661338097f0a · outbound

This paper cites Percolation and epidemics in random clustered networks.Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 80(2):020901, 2009.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Percolation and epidemics in random clustered networks.Physical Review E—Statistical, Nonlinear, and Soft Matter Physics, 80(2):020901, 2009

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:50.366151Z

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Observation b05efecc-98e5-457e-877a-b1db68f63aa5 · outbound

This paper cites Abrupt desynchroniza- tion and extensive multistability in globally coupled oscillator simplexes.Physical review letters, 122(24):248301, 2019.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Abrupt desynchroniza- tion and extensive multistability in globally coupled oscillator simplexes.Physical review letters, 122(24):248301, 2019

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:50.433696Z

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Observation 33be5000-dab8-469b-9482-79d760de88c7 · outbound

This paper cites Epidemic threshold in pairwise models for clus- tered networks: closures and fast correlations.Journal of math- ematical biology, 79(3):823–860, 2019.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior Epidemic threshold in pairwise models for clus- tered networks: closures and fast correlations.Journal of math- ematical biology, 79(3):823–860, 2019

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:50.530665Z

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Observation 6e0638b7-832f-4c46-bbb1-cf6744043aca · outbound

This paper cites First order phase transitions and the thermodynamic limit.New Journal of Physics, 21(12):123021, 2019.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior First order phase transitions and the thermodynamic limit.New Journal of Physics, 21(12):123021, 2019

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T10:28:50.678326Z

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Observation d9161ca9-9e38-4c08-9b3f-262271c7ebf4 · outbound

This paper cites real gap.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior real gap

Reference 33

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Observation 2a3dd7b4-8a22-4560-88c2-1d1d80c2dbe2 · outbound

This paper cites (??) in the main text.

Nested hyperedges promote the onset of collective transitions but suppress explosive behavior (??) in the main text

Reference 34

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Pith citing papers

Observation 72d5f7e0-deae-4de7-b62e-469532bbfc9c · inbound

Nesting Controls Phase Transitions in Higher-Order Contagion cites this paper.

Nesting Controls Phase Transitions in Higher-Order Contagion Nested hyperedges promote the onset of collective transitions but suppress explosive behavior

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-16T02:22:32.220576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0ab4fff7-caca-4eb4-ac97-91a716d8d5e5 · inbound

The nestedness of higher-order networks cites this paper.

The nestedness of higher-order networks Nested hyperedges promote the onset of collective transitions but suppress explosive behavior

Reference 28

Resolution: malformed identifier; arxiv_id, observed 2026-07-16T02:22:32.220576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bb60bf92-3d60-4091-a631-29810bbbf1ed · inbound

A principled closure framework for higher-order SIS epidemic models on networks cites this paper.

A principled closure framework for higher-order SIS epidemic models on networks Nested hyperedges promote the onset of collective transitions but suppress explosive behavior

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.506375Z

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