Paper Citation Record · LEDGER

Epidemic Phase Transitions in the Zero-Range Process

As of 22 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2607.22908.

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

pith.paper-citation-record.v1
2607.22908 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:36:56.609495Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact1
verified fuzzy31
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4cfeb740-86bd-4fab-87b7-afd54a570f30 · outbound

This paper cites an unresolved cited work.

Epidemic Phase Transitions in the Zero-Range Process Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:36:57.143718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 06917d44-1489-4ca9-bcfa-9c3bb3b8378f · outbound

This paper cites Invariant Measures for the Zero Range Process.The Annals of Probability, 10(3):525 – 547, 1982.

Epidemic Phase Transitions in the Zero-Range Process Invariant Measures for the Zero Range Process.The Annals of Probability, 10(3):525 – 547, 1982

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.133380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cf1fa8dd-89c8-4b7c-b48a-3f9d40f64557 · outbound

This paper cites Arcanjo, Rangel Baldasso, Marcelo R.

Epidemic Phase Transitions in the Zero-Range Process Arcanjo, Rangel Baldasso, Marcelo R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.122841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4160a1b6-f1a1-435d-837f-6972603d11a5 · outbound

This paper cites Local survival of spread of infection among biased random walks.Electronic Journal of Probability, 27:1–28, 2022.

Epidemic Phase Transitions in the Zero-Range Process Local survival of spread of infection among biased random walks.Electronic Journal of Probability, 27:1–28, 2022

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.112457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6682fbbc-4668-4644-b86d-3870ddb810c2 · outbound

This paper cites Local and global survival for infections with recovery.Stochastic Processes and their Applications, 160:161–173, 2023.

Epidemic Phase Transitions in the Zero-Range Process Local and global survival for infections with recovery.Stochastic Processes and their Applications, 160:161–173, 2023

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.102097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0a631f28-9742-46db-9ba9-47caed9b1998 · outbound

This paper cites How can a clairvoyant particle escape the exclusion process?Annales de l’Institut Henri Poincar´ e, Probabilit´ es et Statistiques, 54(4):2177–2202, 2018.

Epidemic Phase Transitions in the Zero-Range Process How can a clairvoyant particle escape the exclusion process?Annales de l’Institut Henri Poincar´ e, Probabilit´ es et Statistiques, 54(4):2177–2202, 2018

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.091218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 179765de-2cb6-4414-ac58-573b4111fe02 · outbound

This paper cites Spread of an infection on the zero range process.

Epidemic Phase Transitions in the Zero-Range Process Spread of an infection on the zero range process

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.080651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7915e08d-a765-4176-b9cb-362f171a61b0 · outbound

This paper cites Bramson, P.

Epidemic Phase Transitions in the Zero-Range Process Bramson, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.070484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3fc62129-fc8a-40ee-89bd-3ec2325cd131 · outbound

This paper cites Ram´ ırez.

Epidemic Phase Transitions in the Zero-Range Process Ram´ ırez

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.060245Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c9425958-f9b4-4745-be00-c952c94d1e25 · outbound

This paper cites Fluctuations of the front in a one dimensional model of X +Y→ 2X.Transactions of the American Mathematical Society, 359(4):1561–1581, 2007.

Epidemic Phase Transitions in the Zero-Range Process Fluctuations of the front in a one dimensional model of X +Y→ 2X.Transactions of the American Mathematical Society, 359(4):1561–1581, 2007

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.050432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 670b7514-b414-41bb-b57f-a9bd15d3b7f0 · outbound

This paper cites The SIR model in a moving population: propagation of infection and herd immunity, 2022.

Epidemic Phase Transitions in the Zero-Range Process The SIR model in a moving population: propagation of infection and herd immunity, 2022

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.040113Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 37ce0b29-27bc-41e4-9c4e-a49f673c009b · outbound

This paper cites Spread of infections in a heterogeneous moving population.Probability Theory and Related Fields, 187(1):73–131, 2023.

Epidemic Phase Transitions in the Zero-Range Process Spread of infections in a heterogeneous moving population.Probability Theory and Related Fields, 187(1):73–131, 2023

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.029721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6e040efa-96dd-4180-824c-0a569587404a · outbound

This paper cites Lipschitz cutset for fractal graphs and applications to the spread of infections.Annales de l’Institut Henri Poincar´ e, Probabilit´ es et Statistiques, 62(2):830 – 878, 2026.

Epidemic Phase Transitions in the Zero-Range Process Lipschitz cutset for fractal graphs and applications to the spread of infections.Annales de l’Institut Henri Poincar´ e, Probabilit´ es et Statistiques, 62(2):830 – 878, 2026

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.019710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5f275214-1855-47da-8274-8430ca08a07d · outbound

This paper cites Mountford, Daniel Ungaretti, and Maria Eul´ alia Vares.

Epidemic Phase Transitions in the Zero-Range Process Mountford, Daniel Ungaretti, and Maria Eul´ alia Vares

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:57.008911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 07d0f35d-8a39-427a-9aeb-82ae41961a9d · outbound

This paper cites A new proof of superadditivity and of the density conjecture for activated random walks on the line, 2025.

Epidemic Phase Transitions in the Zero-Range Process A new proof of superadditivity and of the density conjecture for activated random walks on the line, 2025

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.998826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0cadfa71-eaa7-4854-8092-3c455c370b88 · outbound

This paper cites Gracar and A.

Epidemic Phase Transitions in the Zero-Range Process Gracar and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.988583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7016bad7-9dec-4e33-aa22-3a0c9a931818 · outbound

This paper cites Multi-scale Lipschitz percolation of increasing events for Poisson random walks.The Annals of Applied Probability, 29(1):376 – 433, 2019.

Epidemic Phase Transitions in the Zero-Range Process Multi-scale Lipschitz percolation of increasing events for Poisson random walks.The Annals of Applied Probability, 29(1):376 – 433, 2019

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.978430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e789f8c0-7e05-4420-8c03-c583e8589bff · outbound

This paper cites Grimmett and Zhongyang Li.

Epidemic Phase Transitions in the Zero-Range Process Grimmett and Zhongyang Li

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.968095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f66c4050-6c09-4c3c-9166-22ccc9b98424 · outbound

This paper cites Results on the contact process with dynamic edges or under renewals.Electronic Journal of Probability, 27(none):1 – 31, 2022.

Epidemic Phase Transitions in the Zero-Range Process Results on the contact process with dynamic edges or under renewals.Electronic Journal of Probability, 27(none):1 – 31, 2022

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.957541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3c5603ec-fd17-427f-b0d2-8a5c9564d171 · outbound

This paper cites Contact process on interchange process.

Epidemic Phase Transitions in the Zero-Range Process Contact process on interchange process

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:36:56.645027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 73b576bc-6df0-4e1e-a77a-ce70492023f8 · outbound

This paper cites The density conjecture for activated random walk, 2024.

Epidemic Phase Transitions in the Zero-Range Process The density conjecture for activated random walk, 2024

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.946431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 791a215d-ba70-4c66-8676-b5a6e8a61816 · outbound

This paper cites The spread of a rumor or infection in a moving population.Annals of Probability, pages 2402–2462, 2005.

Epidemic Phase Transitions in the Zero-Range Process The spread of a rumor or infection in a moving population.Annals of Probability, pages 2402–2462, 2005

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.935159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c1114c4e-c7f3-42f1-a0ae-9f0696c9b494 · outbound

This paper cites A phase transition in a model for the spread of an infection.Illinois Journal of Mathematics, 50(1-4):547–634, 2006.

Epidemic Phase Transitions in the Zero-Range Process A phase transition in a model for the spread of an infection.Illinois Journal of Mathematics, 50(1-4):547–634, 2006

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.923224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0328f5e6-426a-41d4-ab70-122cbf5ad0a3 · outbound

This paper cites A problem in one-dimensional diffusion-limited aggregation (DLA) and positive recurrence of Markov chains.The Annals of Probability, 36(5):1838–1879, 2008.

Epidemic Phase Transitions in the Zero-Range Process A problem in one-dimensional diffusion-limited aggregation (DLA) and positive recurrence of Markov chains.The Annals of Probability, 36(5):1838–1879, 2008

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.912322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 65661c75-b85f-466b-8cfe-787bf513d3d1 · outbound

This paper cites A shape theorem for the spread of an infection.

Epidemic Phase Transitions in the Zero-Range Process A shape theorem for the spread of an infection

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.900813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 21b7b5dc-9067-4d5e-a2eb-f415f029e206 · outbound

This paper cites Springer Berlin, Heidelberg, 1999.

Epidemic Phase Transitions in the Zero-Range Process Springer Berlin, Heidelberg, 1999

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.888871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 005fe263-9242-4fd2-a401-253eb7b42282 · outbound

This paper cites an unresolved cited work.

Epidemic Phase Transitions in the Zero-Range Process Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:36:56.877087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 71dc4c74-b5c1-4a65-8849-50e071350ea8 · outbound

This paper cites Asymptotic behavior of a stochastic growth process associated with a system of interacting branching random walks.

Epidemic Phase Transitions in the Zero-Range Process Asymptotic behavior of a stochastic growth process associated with a system of interacting branching random walks

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.858145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f41692da-7509-4036-b160-900f88c7e640 · outbound

This paper cites Asymptotic behavior of a stochastic combustion growth process.Journal of the European Mathematical Society, 6(3):293– 334, 2004.

Epidemic Phase Transitions in the Zero-Range Process Asymptotic behavior of a stochastic combustion growth process.Journal of the European Mathematical Society, 6(3):293– 334, 2004

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.846729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 73cd7aa8-19ae-4f9f-99a1-751f08bbc81f · outbound

This paper cites an unresolved cited work.

Epidemic Phase Transitions in the Zero-Range Process Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:36:56.835352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 89a5608d-e427-4d55-95c4-3eb16e8dd917 · outbound

This paper cites Rolla and Vladas Sidoravicius.

Epidemic Phase Transitions in the Zero-Range Process Rolla and Vladas Sidoravicius

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.824692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 89cc5d3f-f740-4b64-9ac2-323752ff7936 · outbound

This paper cites George Shanthikumar.Stochastic orders.

Epidemic Phase Transitions in the Zero-Range Process George Shanthikumar.Stochastic orders

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.813469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 876b6806-e896-43b6-9c7b-0e461c49e267 · outbound

This paper cites Multi-particle diffusion limited aggrega- tion.Inventiones mathematicae, 218(2):491–571, 2019.

Epidemic Phase Transitions in the Zero-Range Process Multi-particle diffusion limited aggrega- tion.Inventiones mathematicae, 218(2):491–571, 2019

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.802509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 46b13c6a-4214-45a2-bdc0-f1a31c8384eb · outbound

This paper cites On one-dimensional multi-particle diffusion limited aggregation.

Epidemic Phase Transitions in the Zero-Range Process On one-dimensional multi-particle diffusion limited aggregation

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.791051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3fc61f22-da8f-4fdc-8ba2-e3d2f29f631f · outbound

This paper cites Interaction of Markov processes.Advances in Mathematics, 5(2):246– 290, 1970.

Epidemic Phase Transitions in the Zero-Range Process Interaction of Markov processes.Advances in Mathematics, 5(2):246– 290, 1970

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:36:56.778832Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1902b0b7-7a1d-4bbb-8956-35a2f09dbd3c · outbound

This paper cites an unresolved cited work.

Epidemic Phase Transitions in the Zero-Range Process Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:36:56.767152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ac8948dd-5838-485d-8ab3-3ff22e7a6820 · outbound

This paper cites an unresolved cited work.

Epidemic Phase Transitions in the Zero-Range Process Unresolved cited work

Reference 123

Resolution: unresolved; no resolver link, observed 2026-08-15T15:36:56.574814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.