Paper Citation Record · LEDGER

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs

As of 23 August 2026, this Paper Citation Record lists 75 of 75 outbound references and 1 inbound Pith citation observation for arXiv:2601.05169.

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

pith.paper-citation-record.v1
2601.05169 v2

Coverage vector

measured 75 of 75 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T11:55:53.494831Z

measured 76 of 76 standing notices

One-hop event checks from named stored sources.

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

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T03:31:04.771049Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T22:06:13.187876Z

Reference resolution

75 of 75 outbound references displayed

verified exact0
verified fuzzy0
unresolved74
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malformed identifier0
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External citation measurements

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Outbound references

Observation 99e8cfef-4f32-4aab-bcfc-c5f6086af90f · outbound

This paper cites Lets i be its state and κi its hyperdegree.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Lets i be its state and κi its hyperdegree

Reference 1

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Observation 8504edf6-8778-4511-8ae6-b2251b10a9dc · outbound

This paper cites Letd e be its order andn e the number of nodes, excludingi, with state+1that it contains.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Letd e be its order andn e the number of nodes, excludingi, with state+1that it contains

Reference 2

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Observation ffef579e-61af-4ba7-9567-24b7e08b4b5c · outbound

This paper cites (6) TimeismeasuredinMonteCarlosteps(MCS).OneMCS corresponds toNupdating attempts such that, on aver- age, each node is selected once per MCS.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs (6) TimeismeasuredinMonteCarlosteps(MCS).OneMCS corresponds toNupdating attempts such that, on aver- age, each node is selected once per MCS

Reference 3

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Observation d5f77c74-98cf-4152-8dcc-f4cd9cda9c74 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 4

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Observation 053fdadb-718f-4606-964a-eaef3568f6f4 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 5

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Observation 23d9e6df-6e46-42c8-8eeb-0991dc5bd435 · outbound

This paper cites an unresolved cited work.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 6

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Observation 19c0b2cb-b867-4d4e-bff1-85147560ed3d · outbound

This paper cites This condition ensures that a neighborjis always selected, P e∈Ei P j∈e ωe ij = 1.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs This condition ensures that a neighborjis always selected, P e∈Ei P j∈e ωe ij = 1

Reference 7

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Observation f4a53f3a-32d1-41df-8c4d-6585fa3c8ad5 · outbound

This paper cites This leads to the condition: 1 κi f(ϕ e) = X j∈e ωe ij δsj ,−si ,(15) where we recall thatϕe is the fraction of nodes in the opposite state toiine, given by Eq.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs This leads to the condition: 1 κi f(ϕ e) = X j∈e ωe ij δsj ,−si ,(15) where we recall thatϕe is the fraction of nodes in the opposite state toiine, given by Eq

Reference 8

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Observation e29dbbdc-5eab-4859-a6eb-a818ba82602d · outbound

This paper cites Together, these equations ensure that the PW dynamics reproduces the microscopic transition probabilities of the HO interaction model.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Together, these equations ensure that the PW dynamics reproduces the microscopic transition probabilities of the HO interaction model

Reference 9

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Observation 7a4828ca-84e5-434d-a2dc-0a4784822b07 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 10

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Observation 57d2b383-8303-4039-897b-7a32d94ecae9 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 11

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Observation ac20df7e-c5fd-40b0-aaea-72125f12b2c2 · outbound

This paper cites Therefore, each neighborjinegets a weight ωe ij = (κide)−1.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Therefore, each neighborjinegets a weight ωe ij = (κide)−1

Reference 12

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Observation e64fb72a-99d9-4d47-8db5-dbe911e0a5c9 · outbound

This paper cites (30) into 12 0 10 20 30 40 50 60 µ 0.25 0.30 0.35 0.40 0.45 0.50ξ ER (a) d 2 3 4 5 HO PW NL VM 0 10 20 30 40 50 60 µ 0.25 0.30 0.35 0.40 0.45 0.50ξ RR (b) FIG.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs (30) into 12 0 10 20 30 40 50 60 µ 0.25 0.30 0.35 0.40 0.45 0.50ξ ER (a) d 2 3 4 5 HO PW NL VM 0 10 20 30 40 50 60 µ 0.25 0.30 0.35 0.40 0.45 0.50ξ RR (b) FIG

Reference 13

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Observation 3f5377d3-8f32-41e1-921e-89c235691682 · outbound

This paper cites Lambiotte, M.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Lambiotte, M

Reference 14

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Observation e22cc049-8897-45ee-8d78-d472ec229a31 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 15

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Observation e31fd768-a6cf-471e-bfc6-4286eb1aa855 · outbound

This paper cites Battiston, G.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Battiston, G

Reference 16

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Observation 75f6b1c5-8f8a-46dd-88f0-2f0b373ff1d2 · outbound

This paper cites Sahasrabuddhe, L.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Sahasrabuddhe, L

Reference 17

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Observation 9099e6a2-e480-4fb9-8fa7-4be95381b9ff · outbound

This paper cites Battiston, V.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Battiston, V

Reference 18

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Observation 39b2aa29-0927-41cf-be97-07ddda6f2926 · outbound

This paper cites Bianconi,Higher-Order Networks, Elements in the Structure and Dynamics of Complex Networks (Cam- bridge University Press, 2021).

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Bianconi,Higher-Order Networks, Elements in the Structure and Dynamics of Complex Networks (Cam- bridge University Press, 2021)

Reference 19

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Observation 61bce7ad-febb-4485-bd5d-470b79e0b597 · outbound

This paper cites Battiston, E.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Battiston, E

Reference 20

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Observation 4864bb15-cb97-481e-8c15-5b24b896bc6b · outbound

This paper cites Ferraz de Arruda, A.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Ferraz de Arruda, A

Reference 21

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Observation 53b5064f-65d4-49e3-8e70-08418c670fac · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 22

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Observation add7441d-372c-4ac2-9eb8-203d6ac65b39 · outbound

This paper cites Greening, Bradford R, N.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Greening, Bradford R, N

Reference 23

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Observation 27c0a51f-092d-4a71-9dfe-2ee8b9f12c18 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 24

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Observation 3f34ca19-f1fa-4b43-b5d1-2dd723107015 · outbound

This paper cites Centola, V.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Centola, V

Reference 25

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Observation ca849be4-0aab-483d-826d-f614f4852e07 · outbound

This paper cites Centola,How Behavior Spreads: The Science of Com- plex Contagions(Princeton University Press, 2018).

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Centola,How Behavior Spreads: The Science of Com- plex Contagions(Princeton University Press, 2018)

Reference 26

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Observation 7116dfee-d6ae-4f42-9314-f68c1f7f5e5d · outbound

This paper cites Granovetter, Threshold models of collective behavior, American Journal of Sociology83, 1420 (1978).

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Granovetter, Threshold models of collective behavior, American Journal of Sociology83, 1420 (1978)

Reference 27

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Observation cc162d05-865f-4e40-b6ba-9c3930be4bba · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 28

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Observation ad981f2c-e30a-42f8-9233-b44e63e867cf · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 29

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Observation f98dd670-62aa-439c-a5df-d9dbd072fb9e · outbound

This paper cites Pastor-Satorras, C.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Pastor-Satorras, C

Reference 30

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Observation 7d6258f4-c8f9-450b-8c2e-a06371369b02 · outbound

This paper cites Iacopini, G.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Iacopini, G

Reference 31

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Observation 386abe6f-d0b6-4070-b307-3b92a2049009 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 32

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Observation bb78679e-eb10-4011-b572-5dbd79ccc030 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 33

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Observation f0ee5455-bcf5-472a-9ac9-75b7289d64ab · outbound

This paper cites Breaking coexistence: Zealotry vs. nonlinear social impact.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Breaking coexistence: Zealotry vs. nonlinear social impact

Reference 34

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Observation b1b29522-2dfd-4107-883e-4a8c924a1c09 · outbound

This paper cites Huang,Statistical Mechanics(John wiley and Sons, 1987).

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Huang,Statistical Mechanics(John wiley and Sons, 1987)

Reference 35

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Observation 5513e17f-78f1-49d7-b174-2ea768db885b · outbound

This paper cites Pathria and P.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Pathria and P

Reference 36

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Observation 270e3a8a-7651-4262-9b76-a363a714a39f · outbound

This paper cites Neuhäuser, A.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Neuhäuser, A

Reference 37

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Observation 95a0f1d9-b8c0-47a7-b60e-cfdadc2fa1fe · outbound

This paper cites Higher-order contagion processes in 3.99 dimensions.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Higher-order contagion processes in 3.99 dimensions

Reference 38

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Observation f80548fa-ce11-4900-96e8-aa142d96273f · outbound

This paper cites Young, G.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Young, G

Reference 39

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Observation b1c57edd-1494-4e77-aa98-fa796822c984 · outbound

This paper cites Malizia, A.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Malizia, A

Reference 40

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Observation 56d8dbe9-161f-4058-aded-a02d6eeded22 · outbound

This paper cites Lucas, L.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Lucas, L

Reference 41

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Observation deae12b7-81a0-4a1e-be04-79529a8deaf0 · outbound

This paper cites Latané, The psychology of social impact., American psychologist36, 343 (1981).

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Latané, The psychology of social impact., American psychologist36, 343 (1981)

Reference 42

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Observation a9c0eda2-fedb-4c99-981c-d0996f96fb73 · outbound

This paper cites Kim, D.-S.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Kim, D.-S

Reference 43

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Observation e6b94f8a-6560-4ddc-9442-eaf5360da9ef · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

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Observation 75878ba2-63ce-447f-bbf1-4362b9c8989b · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 45

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Observation 08906438-b116-4b24-8111-2a315f670846 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 46

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Observation d47e7877-e707-4ff1-80f4-ae206cec87f0 · outbound

This paper cites an unresolved cited work.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 47

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Observation 1734743c-c43d-4092-85cb-b358960d04b2 · outbound

This paper cites Suchecki, V.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Suchecki, V

Reference 48

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Observation 56444df1-d252-4730-9361-740fb071ff12 · outbound

This paper cites Suchecki, V.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Suchecki, V

Reference 49

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Observation 1e4505dc-5517-439d-92f6-0464d2bd2bc0 · outbound

This paper cites Sood and S.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Sood and S

Reference 50

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Observation ecdda601-6cb2-4be5-b296-def08bbc5554 · outbound

This paper cites Vazquez and V.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Vazquez and V

Reference 51

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Observation ba90cf13-8faa-4481-bcc0-278448ad70d1 · outbound

This paper cites Castellano, S.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Castellano, S

Reference 52

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Observation 3c6661d8-cb44-477d-b4d5-70575981168d · outbound

This paper cites Erdős and A.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Erdős and A

Reference 53

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Observation 9fbdeff9-4887-405d-b542-22be936ebdbb · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 54

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Observation 90e4a3df-4943-4c93-b1a5-5623925a840b · outbound

This paper cites Erdős and A.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Erdős and A

Reference 55

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Observation 69d4b60a-a70a-418d-b287-7ae9478d2b60 · outbound

This paper cites Bollobas and P.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Bollobas and P

Reference 56

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Observation 3d618cef-c177-4e2c-8c6d-01af4a06eadb · outbound

This paper cites Frieze and M.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Frieze and M

Reference 57

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Observation 2e5d30cb-31e9-4ae4-ba44-6a848c3cdb83 · outbound

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Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

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Observation c34584dc-5e30-4426-95b0-b4b4247b3e05 · outbound

This paper cites López, Weighted projected networks: Mapping hyper- graphs to networks, Phys.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs López, Weighted projected networks: Mapping hyper- graphs to networks, Phys

Reference 59

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Observation b4f7f900-7cb9-4c77-90a6-dd35dccd2718 · outbound

This paper cites Carletti, F.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Carletti, F

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Observation 2423c5f4-201a-46a3-a97c-f7177e095a77 · outbound

This paper cites Slanina and H.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Slanina and H

Reference 61

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Observation 6f9465f9-fa28-4540-96cb-46eca7354139 · outbound

This paper cites Pugliese and C.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Pugliese and C

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.463871Z

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Observation 87d40da7-e1fc-4d31-acbf-2a4794f74ee3 · outbound

This paper cites an unresolved cited work.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 63

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Observation 9829a1aa-a467-439d-8a6a-a8ec985e9278 · outbound

This paper cites Min and M.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Min and M

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.468448Z

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Observation aeb70a6c-f4a5-4aed-8adb-b26f5f55337d · outbound

This paper cites Jędrzejewski, Pair approximation for theq-voter model with independence on complex networks, Phys.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Jędrzejewski, Pair approximation for theq-voter model with independence on complex networks, Phys

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.470837Z

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Observation 59047cd9-7123-41e2-b978-29e54f42c3d5 · outbound

This paper cites Castellano, D.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Castellano, D

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.473189Z

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Observation 29333dfd-0605-4977-97ca-055a8a26e78a · outbound

This paper cites an unresolved cited work.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.475490Z

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Observation 2e2d321a-1214-4f0d-ba66-633407b8ea8b · outbound

This paper cites López, The distribution of the number of node neigh- borsinrandomhypergraphs,JournalofPhysicsA:Math- ematical and Theoretical46, 305003 (2013).

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs López, The distribution of the number of node neigh- borsinrandomhypergraphs,JournalofPhysicsA:Math- ematical and Theoretical46, 305003 (2013)

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.477895Z

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Observation 979c2010-dff4-46a5-80f9-9939eae1b3b5 · outbound

This paper cites Abramowitz and I.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Abramowitz and I

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.480283Z

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Observation d06496d1-0308-4e2f-a863-4f3793a8c290 · outbound

This paper cites GivenNnodes and a target average hyperdegreeµd, we draw a total ofµdN/(d+ 1)distinctd-hyperedges uniformly at random from the set of all possibled-hyperedges.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs GivenNnodes and a target average hyperdegreeµd, we draw a total ofµdN/(d+ 1)distinctd-hyperedges uniformly at random from the set of all possibled-hyperedges

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.482609Z

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Observation ca1530ad-b1ac-4724-8183-d9ef68ae6ecc · outbound

This paper cites an unresolved cited work.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.485082Z

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Observation 8de4560e-86f1-4556-9526-fadcecae5e36 · outbound

This paper cites Accepthonly if alld+ 1nodes are distinct andhhas not appeared before.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Accepthonly if alld+ 1nodes are distinct andhhas not appeared before

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.487475Z

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Observation fe6edca0-f249-4353-8aae-f1c02328a103 · outbound

This paper cites an unresolved cited work.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.489865Z

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Observation 93458932-6b9c-402c-a4cd-6412a5751719 · outbound

This paper cites an unresolved cited work.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Unresolved cited work

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-03T11:55:53.492273Z

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Observation bbdc032f-74d7-4e94-987e-a2cec1e5d13d · outbound

This paper cites Note that this quantity is symmetricR ij =R ji.

Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs Note that this quantity is symmetricR ij =R ji

Reference 75

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Pith citing papers

Observation 9d8be068-af19-4d87-9496-2522a276e85b · inbound

Higher-order interactions in ecology can be hidden in plain sight cites this paper.

Higher-order interactions in ecology can be hidden in plain sight Reducibility of higher-order to pairwise interactions: Social impact models on hypergraphs

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-06-08T02:04:45.237675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.