Paper Citation Record · LEDGER

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective

As of 23 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2607.00256.

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

pith.paper-citation-record.v1
2607.00256 v3

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T09:39:05.523198Z

measured 41 of 41 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation 52d6e17d-39ce-4f2b-a2af-d7ff35abcda0 · outbound

This paper cites Networks beyond pairwise interac- tions: Structure and dynamics.Physics reports, 874:1–92, 2020.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Networks beyond pairwise interac- tions: Structure and dynamics.Physics reports, 874:1–92, 2020

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 7abc7472-afcc-4bda-b6e3-29c024485dac · outbound

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

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective The physics of higher-order interactions in complex systems

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 905761aa-6961-433f-a520-8db94f5e8480 · outbound

This paper cites Hypergraphs and cellular networks.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Hypergraphs and cellular networks

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 1ad3c85e-c286-4d95-9d87-1bfd0b27aa2a · outbound

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

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Simplicial models of social contagion.Nature communications, 10(1):2485, 2019

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 68f729a9-876e-47e6-93b6-c6f50dc6141c · outbound

This paper cites High-order species interactions shape ecosystem diversity.Nature communications, 7(1):12285, 2016.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective High-order species interactions shape ecosystem diversity.Nature communications, 7(1):12285, 2016

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 59c03084-aba2-4e86-8f90-c4c69dd98b97 · outbound

This paper cites Princeton University Press Princeton, NJ, 2018.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Princeton University Press Princeton, NJ, 2018

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation d45a1840-25a5-4111-86a5-381bef9d151e · outbound

This paper cites Cambridge University Press, 2021.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Cambridge University Press, 2021

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation c6f3f7ba-a5b6-4974-80c1-d348713403e4 · outbound

This paper cites Multiorder laplacian for syn- chronization in higher-order networks.Physical Review Research, 2(3):033410, 2020.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Multiorder laplacian for syn- chronization in higher-order networks.Physical Review Research, 2(3):033410, 2020

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 58848ccf-9c98-49a5-8129-afaa882894bc · outbound

This paper cites Random walks on simplicial complexes and the normalized hodge 1-laplacian.SIAM Review, 62(2):353–391, 2020.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Random walks on simplicial complexes and the normalized hodge 1-laplacian.SIAM Review, 62(2):353–391, 2020

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 4c7aa984-81f6-429f-8a94-b9f81c2018a9 · outbound

This paper cites Explosive higher-order ku- ramoto dynamics on simplicial complexes.Physical Review Letters, 124(21):218301, 2020.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Explosive higher-order ku- ramoto dynamics on simplicial complexes.Physical Review Letters, 124(21):218301, 2020

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 3a422f6e-d191-46b1-a80c-b4e25e76b7c7 · outbound

This paper cites The chemical basis of morphogenesis: Philosophical transactions of the roy al society of london.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective The chemical basis of morphogenesis: Philosophical transactions of the roy al society of london

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation b44e4eb1-fa74-4689-80b3-03cacaa650c8 · outbound

This paper cites Turing patterns in network-organized activator–inhibitor systems.Nature Physics, 6(7):544–550, 2010.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Turing patterns in network-organized activator–inhibitor systems.Nature Physics, 6(7):544–550, 2010

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 17ea64a7-cf8c-460c-b516-73fcae30cd61 · outbound

This paper cites Dynamical systems on hyper- graphs.Journal of Physics: Complexity, 1(3):035006, 2020.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Dynamical systems on hyper- graphs.Journal of Physics: Complexity, 1(3):035006, 2020

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation a6296e27-48d0-42ca-967a-58b65664da72 · outbound

This paper cites Random walks on hypergraphs.Physical review E, 101(2):022308, 2020.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Random walks on hypergraphs.Physical review E, 101(2):022308, 2020

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 2da53420-6554-42ca-a649-c61fff0db62c · outbound

This paper cites Springer, 2003.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Springer, 2003

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 0df323af-7471-4160-8bae-3553fa1ac4bf · outbound

This paper cites Pattern formation outside of equilibrium.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Pattern formation outside of equilibrium

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 106a0588-4d9c-4494-8229-510091841449 · outbound

This paper cites Cambridge Univer- sity Press, 2006.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Cambridge Univer- sity Press, 2006

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 0d2ba08d-966d-4fc5-a76f-94478d8888f3 · outbound

This paper cites Turing’s model for biological pattern formation and the robustness problem.Interface focus, 2(4):487, 2012.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Turing’s model for biological pattern formation and the robustness problem.Interface focus, 2(4):487, 2012

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 9aed61ec-dfd2-40d4-8a6a-c2965c0dc505 · outbound

This paper cites Deep sets.Advances in neural information processing systems, 30, 2017.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Deep sets.Advances in neural information processing systems, 30, 2017

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 54753e0f-0e0a-46b9-8180-6d8ed3c0cf62 · outbound

This paper cites Set transformer: A framework for attention-based permutation-invariant neural networks.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Set transformer: A framework for attention-based permutation-invariant neural networks

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 962c4db6-96ee-4f9b-995c-cbdb2f6935b6 · outbound

This paper cites Directed hyper- graphs and applications.Discrete applied mathematics, 42(2-3):177–201, 1993.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Directed hyper- graphs and applications.Discrete applied mathematics, 42(2-3):177–201, 1993

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 10623e0b-efa5-4811-84ec-153769ab4fe1 · outbound

This paper cites Coupling induced stabilization of network dynamical systems and switching.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Coupling induced stabilization of network dynamical systems and switching

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation b8b5b3e1-c06a-4552-be49-bd157005d503 · outbound

This paper cites Consensus problems in networks of agents with switching topology and time-delays.IEEE Transactions on automatic control, 49(9):1520–1533, 2004.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Consensus problems in networks of agents with switching topology and time-delays.IEEE Transactions on automatic control, 49(9):1520–1533, 2004

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation b4c399d4-5c3f-44c7-b363-fb32add0e59f · outbound

This paper cites Consensus seeking in multiagent systems under dy- namically changing interaction topologies.IEEE Transactions on automatic control, 50(5):655–661, 2005.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Consensus seeking in multiagent systems under dy- namically changing interaction topologies.IEEE Transactions on automatic control, 50(5):655–661, 2005

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation ed5ffa1c-be30-4a51-a551-c8d779325ceb · outbound

This paper cites Synchronization in complex networks.Physics reports, 469(3):93–153, 2008.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Synchronization in complex networks.Physics reports, 469(3):93–153, 2008

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 3a8ec9e4-7f0b-4b4a-8eb9-09f9add48cba · outbound

This paper cites Self-entrainment of a population of coupled non-linear oscillators.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Self-entrainment of a population of coupled non-linear oscillators

Reference 26

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Observation 5104ba38-9d21-48c7-a723-a38c1f3967c7 · outbound

This paper cites The kuramoto model: A simple paradigm for synchronization phenomena.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective The kuramoto model: A simple paradigm for synchronization phenomena

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation c1e03ad6-6a2e-49ef-aae2-1774fbbe05d2 · outbound

This paper cites From kuramoto to crawford: exploring the onset of synchronization in populations of coupled oscillators.Physica D: Nonlinear Phenomena, 143(1-4):1–20, 2000.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective From kuramoto to crawford: exploring the onset of synchronization in populations of coupled oscillators.Physica D: Nonlinear Phenomena, 143(1-4):1–20, 2000

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 8703929b-312d-4edb-b4f9-71ec9a7e33a1 · outbound

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

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Controllability of hypergraphs.IEEE Transactions on Network Science and Engineering, 8(2):1646–1657, 2021

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 5d4b6671-8e71-411b-9247-033431aee2b5 · outbound

This paper cites Tur- ing patterns in systems with high-order interactions.Chaos, Solitons & Fractals, 166:112912, 2023.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Tur- ing patterns in systems with high-order interactions.Chaos, Solitons & Fractals, 166:112912, 2023

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 43817085-335c-4c8c-86a4-ff6aa6849375 · outbound

This paper cites Tensor decompositions and applications.SIAM review, 51(3):455–500, 2009.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Tensor decompositions and applications.SIAM review, 51(3):455–500, 2009

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 334799f2-c15a-48c5-8929-ee1cab7d1fb0 · outbound

This paper cites Matrix analysis.American history, 1861(1900), 1945.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Matrix analysis.American history, 1861(1900), 1945

Reference 32

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Observation 4d2ca6d4-a0db-4471-b573-e8c86ff8cee3 · outbound

This paper cites JHU press, 2013.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective JHU press, 2013

Reference 33

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Observation 81b15a92-ee15-4bad-a479-d89bf1dfbc5f · outbound

This paper cites SIAM, 1997.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective SIAM, 1997

Reference 34

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Observation 664b1894-8ce8-4c31-afe4-8758857be483 · outbound

This paper cites Springer Science & Business Media, 2012.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Springer Science & Business Media, 2012

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation bbbca4e8-97d1-42ee-ae10-c5c1d42cde16 · outbound

This paper cites Springer Science & Business Media, 2013.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Springer Science & Business Media, 2013

Reference 36

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Observation f277714c-4048-45b7-a394-5241c94ebd49 · outbound

This paper cites Springer, 1998.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Springer, 1998

Reference 37

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Observation b2ed1ca5-d6e5-4700-bd6a-5aa7f32b17c4 · outbound

This paper cites Springer, 2003.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Springer, 2003

Reference 38

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Observation cc3ccfbb-8d0d-4b7d-9c44-5ecb068423cb · outbound

This paper cites Finite bandwidth, finite amplitude convection.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Finite bandwidth, finite amplitude convection

Reference 39

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Observation b30e6e62-6050-45ca-9c06-234ecc60b248 · outbound

This paper cites Cambridge University Press, 2009.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Cambridge University Press, 2009

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-12T09:39:05.523198Z

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Observation 06e36825-d380-40b0-81f6-294289458022 · outbound

This paper cites Simple chemical reaction systems with limit cycle behaviour.

Structural Visibility in Dynamical Systems on Hypergraphs: A Pattern Formation Perspective Simple chemical reaction systems with limit cycle behaviour

Reference 41

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