Paper Citation Record · LEDGER

A principled closure framework for higher-order SIS epidemic models on networks

As of 7 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.18003.

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

pith.paper-citation-record.v1
2607.18003 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T16:31:46.563518Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

29 of 29 outbound references displayed

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External citation measurements

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Outbound references

Observation 2cbda602-cdc4-45be-9e10-a6ef407227a0 · outbound

This paper cites Oxford university press, 1991.

A principled closure framework for higher-order SIS epidemic models on networks Oxford university press, 1991

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.431861Z

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Observation fcb75c66-87c6-476d-95ad-a1d4ed88621c · outbound

This paper cites Spread of epidemic disease on networks.Physical review E, 66(1):016128, 2002.

A principled closure framework for higher-order SIS epidemic models on networks Spread of epidemic disease on networks.Physical review E, 66(1):016128, 2002

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.437835Z

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Observation e720f64e-34bc-47bf-9712-41d8d2125682 · outbound

This paper cites Epidemic processes in complex networks.Reviews of modern physics, 87(3):925–979, 2015.

A principled closure framework for higher-order SIS epidemic models on networks Epidemic processes in complex networks.Reviews of modern physics, 87(3):925–979, 2015

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.442413Z

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Observation 163d9533-c7f2-4e52-a7d6-1167d5aaeb8e · outbound

This paper cites Mathematics of epidemics on networks.

A principled closure framework for higher-order SIS epidemic models on networks Mathematics of epidemics on networks

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.447740Z

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Observation 65c4a825-fda2-4b2f-8b41-ff06f17c8005 · outbound

This paper cites Higher-order network analysis takes off, fueled by old ideas and new data.SIAM News Blog, 21(1), 2021.

A principled closure framework for higher-order SIS epidemic models on networks Higher-order network analysis takes off, fueled by old ideas and new data.SIAM News Blog, 21(1), 2021

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.452503Z

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Observation 0ffc8964-08cc-4cbe-8371-27e8388db18d · outbound

This paper cites What are higher-order networks?SIAM review, 65(3):686–731, 2023.

A principled closure framework for higher-order SIS epidemic models on networks What are higher-order networks?SIAM review, 65(3):686–731, 2023

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.457388Z

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Observation 90dc61fa-9d9e-4cb6-a991-f4d0dbb472e9 · outbound

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

A principled closure framework for higher-order SIS epidemic models on networks Networks beyond pairwise interactions: Structure and dynamics.Physics reports, 874:1–92, 2020

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.463957Z

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Observation 42f7b984-53f2-4d66-9c6d-8d02ed94b915 · outbound

This paper cites Defining and classifying models of groups: The social ontology of higher-order networks.

A principled closure framework for higher-order SIS epidemic models on networks Defining and classifying models of groups: The social ontology of higher-order networks

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.470402Z

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Observation c32df806-cce2-4cdd-81a6-66da56488f19 · outbound

This paper cites Dynamics on higher-order networks: A review.Journal of the Royal Society Interface, 19(188):20220043, 2022.

A principled closure framework for higher-order SIS epidemic models on networks Dynamics on higher-order networks: A review.Journal of the Royal Society Interface, 19(188):20220043, 2022

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.475312Z

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Observation 8945225a-fada-4cc8-92b8-67080305971d · outbound

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

A principled closure framework for higher-order SIS epidemic models on networks Simplicial models of social contagion.Nature communications, 10(1):2485, 2019

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.479876Z

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Observation dfa837b6-9c83-4426-a9f9-8387327b4ede · outbound

This paper cites Social contagion models on hypergraphs.Physical Review Research, 2(2):023032, 2020.

A principled closure framework for higher-order SIS epidemic models on networks Social contagion models on hypergraphs.Physical Review Research, 2(2):023032, 2020

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.484064Z

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Observation 40950926-3d1b-4ea1-86bf-4f7b672801bc · outbound

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

A principled closure framework for higher-order SIS epidemic models on networks Disentangling the role of heterogeneity and hyperedge overlap in explosive contagion on higher-order networks.Physical Review Letters, 135(20):207401, 2025

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.489259Z

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Observation 428f9282-d69a-49c2-b171-401c41d426a5 · outbound

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

A principled closure framework for higher-order SIS epidemic models on networks A pair-based approximation for simplicial contagion.Chaos, Solitons & Fractals, 199:116776, 2025

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.493641Z

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Observation 3e56eb29-de9f-4f6c-893a-cf4018910784 · outbound

This paper cites Hyperedge overlap drives explosive transitions in systems with higher-order interactions.Nature communications, 16(1):555, 2025.

A principled closure framework for higher-order SIS epidemic models on networks Hyperedge overlap drives explosive transitions in systems with higher-order interactions.Nature communications, 16(1):555, 2025

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.497819Z

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Observation 510a6a25-899d-410c-8d3d-09a812d79596 · outbound

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

A principled closure framework for higher-order SIS epidemic models on networks Triadic approximation reveals the role of interaction overlap on the spread of complex contagions on higher-order networks.Physical Review Letters, 132(7):077401, 2024

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.502108Z

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

This paper cites Nested hyperedges promote the onset of collective transitions but suppress explosive behavior.

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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Observation 1e87fbed-67f5-4bdf-b8a4-28ab246d9dcf · outbound

This paper cites Deterministic epidemiological models at the individual level.Journal of Mathematical Biology, 57(3):311–331, 2008.

A principled closure framework for higher-order SIS epidemic models on networks Deterministic epidemiological models at the individual level.Journal of Mathematical Biology, 57(3):311–331, 2008

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.511076Z

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Observation 276f8621-ef52-4efb-8fb0-718ea08fcd3f · outbound

This paper cites Deterministic epidemic models on contact networks: Correlations and unbiological terms.Theoretical population biology, 79(4):115–129, 2011.

A principled closure framework for higher-order SIS epidemic models on networks Deterministic epidemic models on contact networks: Correlations and unbiological terms.Theoretical population biology, 79(4):115–129, 2011

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.515285Z

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Observation 82daff59-9206-4571-b4a9-790a296d9210 · outbound

This paper cites Springer International Publishing, Cham, 2016.

A principled closure framework for higher-order SIS epidemic models on networks Springer International Publishing, Cham, 2016

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.519685Z

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Observation fbc29a47-bc56-4cbe-b171-40b6719dbe63 · outbound

This paper cites Correlation equations and pair approximations for spatial ecologies.Advanced ecological theory: principles and applications, pages 100–142, 1999.

A principled closure framework for higher-order SIS epidemic models on networks Correlation equations and pair approximations for spatial ecologies.Advanced ecological theory: principles and applications, pages 100–142, 1999

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.524056Z

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Observation 7a3ed67a-9dfe-49bb-ac42-69c7432bb9f4 · outbound

This paper cites The effects of local spatial structure on epidemiological invasions.

A principled closure framework for higher-order SIS epidemic models on networks The effects of local spatial structure on epidemiological invasions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.528666Z

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Observation bdfc1ff9-9293-481d-86ad-3db88b48e92c · outbound

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

A principled closure framework for higher-order SIS epidemic models on networks A motif-based approach to network epidemics.Bulletin of Mathematical Biology, 71(7):1693–1706, 2009

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.532716Z

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Observation a40811ab-344a-4f09-bf80-1d128ed632db · outbound

This paper cites Mean-field models of dynamics on networks via moment closure: An automated procedure.Physical Review E, 106(5):054312, 2022.

A principled closure framework for higher-order SIS epidemic models on networks Mean-field models of dynamics on networks via moment closure: An automated procedure.Physical Review E, 106(5):054312, 2022

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.537507Z

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Observation 34dac79c-4ff1-4983-b382-5258fd2a6d26 · outbound

This paper cites Enumeration of hypergraphs.Discrete Mathematics, 45(2- 3):239–243, 1983.

A principled closure framework for higher-order SIS epidemic models on networks Enumeration of hypergraphs.Discrete Mathematics, 45(2- 3):239–243, 1983

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.541985Z

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Observation 86aab79a-3320-41fe-835e-704f9f40139d · outbound

This paper cites Statistical mechanics of fluid mixtures.The Journal of chemical physics, 3(5):300–313, 1935.

A principled closure framework for higher-order SIS epidemic models on networks Statistical mechanics of fluid mixtures.The Journal of chemical physics, 3(5):300–313, 1935

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.546264Z

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Observation faea5647-95d7-464a-9560-14a6326a46fa · outbound

This paper cites Physical nature of higher-order mutual information: Intrinsic correlations and frustration.Physical review E, 62(3):3096, 2000.

A principled closure framework for higher-order SIS epidemic models on networks Physical nature of higher-order mutual information: Intrinsic correlations and frustration.Physical review E, 62(3):3096, 2000

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.550600Z

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Observation 2f4a9796-c5f5-4d21-a77a-e1a27fbc0b65 · outbound

This paper cites The mathematics of infectious diseases.SIAM review, 42(4):599–653, 2000.

A principled closure framework for higher-order SIS epidemic models on networks The mathematics of infectious diseases.SIAM review, 42(4):599–653, 2000

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.554862Z

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Observation a6f7eaa5-709a-46d7-b4f8-02ff2a3b46d0 · outbound

This paper cites Springer, 5th edition, 2017.

A principled closure framework for higher-order SIS epidemic models on networks Springer, 5th edition, 2017

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.559261Z

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Observation f118a0b3-504b-40c4-ac59-4fcfe951f354 · outbound

This paper cites Elsevier, 2014.

A principled closure framework for higher-order SIS epidemic models on networks Elsevier, 2014

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T16:31:46.563518Z

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