Paper Citation Record · LEDGER

The fractal geometry of opinion formation

As of 13 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 2 inbound Pith citation observations for arXiv:2601.21023.

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

pith.paper-citation-record.v1
2601.21023 v2

Coverage vector

measured 46 of 46 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:15:05.673204Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-29T09:10:21.717139Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T09:13:16.113360Z

Reference resolution

46 of 46 outbound references displayed

verified exact0
verified fuzzy0
unresolved46
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External citation measurements

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Outbound references

Observation 70b324e0-e020-42ff-8040-701ec39ea58d · outbound

This paper cites Social affect and political disagreement on social media.

The fractal geometry of opinion formation Social affect and political disagreement on social media

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:00.670448Z

Source-reported events for the cited work

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Observation 4c4b15e6-fbf4-4119-8fe7-1ec1f7d4208f · outbound

This paper cites Opinion dynamics: rise and fall of political parties.Europhysics Letters,69(5):671–677, 2005.

The fractal geometry of opinion formation Opinion dynamics: rise and fall of political parties.Europhysics Letters,69(5):671–677, 2005

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:00.741516Z

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Observation 1e71de87-e779-4fcb-bb80-a417547acccd · outbound

This paper cites Bobylev, and Giuseppe Toscani.

The fractal geometry of opinion formation Bobylev, and Giuseppe Toscani

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:00.772055Z

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Observation 639ff600-5664-4b1a-a8ca-79a59260d61f · outbound

This paper cites The Bennati-Dragulescu-Yakovenko model in the continuous setting: PDE derivation and long-time behavior.arXiv preprint arXiv:2512.06101, 2025.

The fractal geometry of opinion formation The Bennati-Dragulescu-Yakovenko model in the continuous setting: PDE derivation and long-time behavior.arXiv preprint arXiv:2512.06101, 2025

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:00.944294Z

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Observation 3075b808-6b06-41b5-ae16-1f74a1464787 · outbound

This paper cites Derivation of wealth distributions from biased exchange of money.Kinetic & Related Models,16(5):764–794, 2023.

The fractal geometry of opinion formation Derivation of wealth distributions from biased exchange of money.Kinetic & Related Models,16(5):764–794, 2023

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:01.119980Z

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Observation c0fab590-693e-4f88-b2a0-fcf33ad0399c · outbound

This paper cites Entropy dissipation and propagation of chaos for the uniform reshuffling model.Mathematical Models and Methods in Applied Sciences,33(4):829–875, 2023.

The fractal geometry of opinion formation Entropy dissipation and propagation of chaos for the uniform reshuffling model.Mathematical Models and Methods in Applied Sciences,33(4):829–875, 2023

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:01.299493Z

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Observation a4992a3e-b166-4b96-8472-cb6cf6fad9b0 · outbound

This paper cites Explicit decay rate for the Gini index in the repeated averaging model.

The fractal geometry of opinion formation Explicit decay rate for the Gini index in the repeated averaging model

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:01.498682Z

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Observation c53b3125-b837-4f60-ae46-bac1965eb1d7 · outbound

This paper cites Fractal opinions among interacting agents.SIAM Journal on Applied Dynamical Systems,24(2):1529–1552, 2025.

The fractal geometry of opinion formation Fractal opinions among interacting agents.SIAM Journal on Applied Dynamical Systems,24(2):1529–1552, 2025

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:01.662061Z

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Observation b9eec795-44f0-41b6-bd68-75ac697bc185 · outbound

This paper cites From interacting agents to Boltzmann- Gibbs distribution of money.Nonlinearity,37(12):125020, 2024.

The fractal geometry of opinion formation From interacting agents to Boltzmann- Gibbs distribution of money.Nonlinearity,37(12):125020, 2024

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:01.840501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9ec3d0f-79db-4a64-9817-9e803b918e2f · outbound

This paper cites an unresolved cited work.

The fractal geometry of opinion formation Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:02.006286Z

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Observation ee137673-6add-4413-b5bf-b5c111b69f03 · outbound

This paper cites The iterative persuasion-polarization opinion dynamics and its mean-field analysis.SIAM Journal on Applied Mathematics, 85(4):1596–1620, 2025.

The fractal geometry of opinion formation The iterative persuasion-polarization opinion dynamics and its mean-field analysis.SIAM Journal on Applied Mathematics, 85(4):1596–1620, 2025

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:02.120452Z

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Observation 86d2b076-c0ec-4220-9bb1-b72e2e8d0002 · outbound

This paper cites Uncovering a two-phase dynamics from a dollar exchange model with bank and debt.SIAM Journal on Applied Mathematics, 83(5):1872–1891, 2023.

The fractal geometry of opinion formation Uncovering a two-phase dynamics from a dollar exchange model with bank and debt.SIAM Journal on Applied Mathematics, 83(5):1872–1891, 2023

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:02.282910Z

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Observation fc9d5bc4-6472-4735-b313-245f5eb0223a · outbound

This paper cites Uniform propagation of chaos for a dollar exchange econophysics model.European Journal of Applied Mathematics, 36(1):27–39, 2025.

The fractal geometry of opinion formation Uniform propagation of chaos for a dollar exchange econophysics model.European Journal of Applied Mathematics, 36(1):27–39, 2025

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:02.445159Z

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Observation c5e66694-8feb-4f44-9153-1b325c018391 · outbound

This paper cites Carrillo, and Giuseppe Toscani.

The fractal geometry of opinion formation Carrillo, and Giuseppe Toscani

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:02.612229Z

Source-reported events for the cited work

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Observation 3ac95897-2ba4-4d63-897a-71324f35f5c5 · outbound

This paper cites Statistical physics of social dynamics.Reviews of modern physics,81(2):591, 2009.

The fractal geometry of opinion formation Statistical physics of social dynamics.Reviews of modern physics,81(2):591, 2009

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:02.790198Z

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Observation c030920b-c063-4ed0-a154-3903842aebae · outbound

This paper cites Quantitative propagation of chaos for generalizedKacparticlesystems.The Annals of Applied Probability,26(2):892– 916, 2016.

The fractal geometry of opinion formation Quantitative propagation of chaos for generalizedKacparticlesystems.The Annals of Applied Probability,26(2):892– 916, 2016

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:02.954097Z

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Observation 7792cf8c-5dc6-4d30-82fa-07f07022a8e9 · outbound

This paper cites Uniform propagation of chaos for Kac’s 1D particle system.

The fractal geometry of opinion formation Uniform propagation of chaos for Kac’s 1D particle system

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.113926Z

Source-reported events for the cited work

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Observation 20961f9a-447b-4cc8-8f6f-ac30059daaf1 · outbound

This paper cites Quantitative uniform propagation of chaos for Maxwell molecules.Communications in Mathematical Physics, 357(3):913–941, 2018.

The fractal geometry of opinion formation Quantitative uniform propagation of chaos for Maxwell molecules.Communications in Mathematical Physics, 357(3):913–941, 2018

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.168414Z

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Observation bffd8798-9f9a-467e-8eda-e16ff135fe9d · outbound

This paper cites Social media filtering and democracy: Effects of social media news use and uncivil politi- cal discussions on social media unfriending.Computers in Human Behavior, 120:106759, 2021.

The fractal geometry of opinion formation Social media filtering and democracy: Effects of social media news use and uncivil politi- cal discussions on social media unfriending.Computers in Human Behavior, 120:106759, 2021

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.222613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b8423f03-56a2-40e0-b2e1-ffc0e8c562b4 · outbound

This paper cites Mixing beliefs among interacting agents.Advances in Complex Systems, 3(01n04):87–98, 2000.

The fractal geometry of opinion formation Mixing beliefs among interacting agents.Advances in Complex Systems, 3(01n04):87–98, 2000

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.278649Z

Source-reported events for the cited work

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Observation 0c7028f4-bfad-4aef-9f30-4ddee42d3ae1 · outbound

This paper cites Macroscopic limits of the Boltzmann equation: a review.Mod- eling and computational methods for kinetic equations, pp.

The fractal geometry of opinion formation Macroscopic limits of the Boltzmann equation: a review.Mod- eling and computational methods for kinetic equations, pp

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.325953Z

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Observation a0ddae1f-7c03-47a0-afa0-09759d438541 · outbound

This paper cites A Boltzmann-type approach to the formation of wealth distribution curves.Available at SSRN 1281404, 2008.

The fractal geometry of opinion formation A Boltzmann-type approach to the formation of wealth distribution curves.Available at SSRN 1281404, 2008

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.377022Z

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Observation 60a99010-78c8-4417-9605-a3164836986e · outbound

This paper cites On a family of symmetric Bernoulli convolutions.American Jour- nal of Mathematics,61(4):974–976, 1939.

The fractal geometry of opinion formation On a family of symmetric Bernoulli convolutions.American Jour- nal of Mathematics,61(4):974–976, 1939

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.437133Z

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Observation 1f32e306-9551-4524-a691-91578bd53b43 · outbound

This paper cites Gabetta, Giuseppe Toscani, and Bernt Wennberg.

The fractal geometry of opinion formation Gabetta, Giuseppe Toscani, and Bernt Wennberg

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.482245Z

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Observation 59b724f7-4d50-4cb0-b915-a15b9b900e7e · outbound

This paper cites Sociophysics: A new ap- proach of sociological collective behavior.The Journal of Mathematical Soci- ology,9(1):1–13, 1982.

The fractal geometry of opinion formation Sociophysics: A new ap- proach of sociological collective behavior.The Journal of Mathematical Soci- ology,9(1):1–13, 1982

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.536254Z

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Observation 78c6d04b-c452-49d9-afb9-e41da7ab4b0d · outbound

This paper cites Fourier-based dis- tances and Berry-Esseen like inequalities for smooth densities.Monatshefte für Mathematik,135:115–136, 2002.

The fractal geometry of opinion formation Fourier-based dis- tances and Berry-Esseen like inequalities for smooth densities.Monatshefte für Mathematik,135:115–136, 2002

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.616322Z

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Observation 7cc30219-ccde-40b3-b665-4c4eebcb52ea · outbound

This paper cites Stochastic particle approximations for gen- eralized Boltzmann models and convergence estimates.The Annals of Proba- bility,25(1):115–132, 1997.

The fractal geometry of opinion formation Stochastic particle approximations for gen- eralized Boltzmann models and convergence estimates.The Annals of Proba- bility,25(1):115–132, 1997

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.675543Z

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Observation cf0610d5-b5ff-4183-8578-234039970f45 · outbound

This paper cites Opinion dynamics and bounded confi- dence models, analysis, and simulation.Journal of artificial societies and social simulation,5(3), 2002.

The fractal geometry of opinion formation Opinion dynamics and bounded confi- dence models, analysis, and simulation.Journal of artificial societies and social simulation,5(3), 2002

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.755284Z

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Observation 0c9e33db-d466-4b6a-b716-ea1ef270e6cc · outbound

This paper cites Denton, Michael E.

The fractal geometry of opinion formation Denton, Michael E

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.813438Z

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Observation c8285a66-9693-4aa8-812c-1602d3e67561 · outbound

This paper cites Holley, and Thomas M.

The fractal geometry of opinion formation Holley, and Thomas M

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.892553Z

Source-reported events for the cited work

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Observation e5a89b9e-2609-4fa6-8c0e-c33278cd2f59 · outbound

This paper cites Hutchinson.

The fractal geometry of opinion formation Hutchinson

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:03.962285Z

Source-reported events for the cited work

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Observation 6e5d307f-797d-4c00-8ad1-19e3b7d91033 · outbound

This paper cites Clustering and asymptotic be- havior in opinion formation.Journal of Differential Equations,257(11):4165– 4187, 2014.

The fractal geometry of opinion formation Clustering and asymptotic be- havior in opinion formation.Journal of Differential Equations,257(11):4165– 4187, 2014

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:04.075464Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fa2a02f-56b4-4b26-b845-d4433328003c · outbound

This paper cites Distribution functions and the Riemann zeta function.Transactions of the American Mathematical Society,38:48–88, 1935.

The fractal geometry of opinion formation Distribution functions and the Riemann zeta function.Transactions of the American Mathematical Society,38:48–88, 1935

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:04.240576Z

Source-reported events for the cited work

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Observation 31cad1cd-6b5b-4282-a674-826025c9ebda · outbound

This paper cites On symmetric Bernoulli convolutions.

The fractal geometry of opinion formation On symmetric Bernoulli convolutions

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:04.351884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9570dd82-b844-4061-9c53-85d19a1774d7 · outbound

This paper cites an unresolved cited work.

The fractal geometry of opinion formation Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:04.436885Z

Source-reported events for the cited work

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Observation 341c0fb4-7424-4a19-b17b-f43a78592afa · outbound

This paper cites On steady distributions of kinetic models of conservative economies.Journal of Statistical Physics,130(6):1087– 1117, 2008.

The fractal geometry of opinion formation On steady distributions of kinetic models of conservative economies.Journal of Statistical Physics,130(6):1087– 1117, 2008

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:04.528995Z

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Observation c77a525f-5384-40da-802f-40b1f809b57e · outbound

This paper cites Mathematical mod- eling of collective behavior in socio-economic and life sciences.Springer Science & Business Media, 2010.

The fractal geometry of opinion formation Mathematical mod- eling of collective behavior in socio-economic and life sciences.Springer Science & Business Media, 2010

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:04.685840Z

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Observation b17a1f9b-9000-4f75-9bd8-fa883a8b038f · outbound

This paper cites MacLaren, Shelley D.

The fractal geometry of opinion formation MacLaren, Shelley D

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:04.800414Z

Source-reported events for the cited work

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Observation 96146c11-84cf-4ce5-8209-01dda4662256 · outbound

This paper cites Chakrabarti.

The fractal geometry of opinion formation Chakrabarti

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:04.972539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17f26f3b-e924-4a43-ae8c-0c52be8279cf · outbound

This paper cites On the random series ∑ ±λn (an Erdös problem).Annals of Mathematics,142(3):611–625, 1995.

The fractal geometry of opinion formation On the random series ∑ ±λn (an Erdös problem).Annals of Mathematics,142(3):611–625, 1995

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:05.050433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d414c41-54da-499a-95aa-1487aba904f8 · outbound

This paper cites Opinion evolution in closed com- munity.International Journal of Modern Physics C,11(06):1157–1165, 2000.

The fractal geometry of opinion formation Opinion evolution in closed com- munity.International Journal of Modern Physics C,11(06):1157–1165, 2000

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:05.168500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e52af6a3-4445-45f4-87d7-ed77a3adc882 · outbound

This paper cites Topics in propagation of chaos.

The fractal geometry of opinion formation Topics in propagation of chaos

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:05.274297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad370947-d014-4650-9a2c-58830fa47a79 · outbound

This paper cites Kinetic models of opinion formation.Communications in Mathematical Sciences,4(3):481–496, 2006.

The fractal geometry of opinion formation Kinetic models of opinion formation.Communications in Mathematical Sciences,4(3):481–496, 2006

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:05.378267Z

Source-reported events for the cited work

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Observation baa7216c-8734-4de1-a766-d2ec353a6c75 · outbound

This paper cites an unresolved cited work.

The fractal geometry of opinion formation Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:05.476828Z

Source-reported events for the cited work

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Observation 55b1c7a3-3d95-4464-9436-41ee905ff026 · outbound

This paper cites an unresolved cited work.

The fractal geometry of opinion formation Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:05.580401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 982d3d79-d9d0-4064-a943-06396078bedf · outbound

This paper cites Navigating political disagreement on social media: How affective responses and belonging influence unfollowing and unfriending.Media and Communication,12(0), 2024.

The fractal geometry of opinion formation Navigating political disagreement on social media: How affective responses and belonging influence unfollowing and unfriending.Media and Communication,12(0), 2024

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-03T07:15:05.673204Z

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Pith citing papers

Observation 54e425c3-be42-473a-9f82-055dee072a2a · inbound

Relocation without preference: A destination-agnostic Schelling-type metapopulation model cites this paper.

Relocation without preference: A destination-agnostic Schelling-type metapopulation model The fractal geometry of opinion formation

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-29T01:24:28.519075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 40a60b1d-1818-4b0a-870f-e3e0eac15c34 · inbound

The incremental voter model: mean-field analysis and convergence to equilibrium cites this paper.

The incremental voter model: mean-field analysis and convergence to equilibrium The fractal geometry of opinion formation

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-29T01:24:28.519075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.