Paper Citation Record · LEDGER

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation

As of 13 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2607.04002.

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

pith.paper-citation-record.v1
2607.04002 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T22:23:21.358379Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

32 of 32 outbound references displayed

verified exact0
verified fuzzy0
unresolved32
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e30fb7cc-6d29-46d1-ae95-ca88746980d9 · outbound

This paper cites Aizenman, H.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Aizenman, H

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 510ea29b-2bce-4f5d-ad0d-6fd2ee249972 · outbound

This paper cites Aldous and R.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Aldous and R

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e82f375d-5d12-4144-ae0f-e9760b2e90fd · outbound

This paper cites Collisions of random walks on comb graphs with a planar base.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Collisions of random walks on comb graphs with a planar base

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e873349-c896-4779-992e-668df06f7585 · outbound

This paper cites Astoquillca.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Astoquillca

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f48358b-af51-4c20-9b43-224e775d13ca · outbound

This paper cites Barlow, Y.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Barlow, Y

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a875726-1a93-43c9-9d79-9f380fa6fbd6 · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afcf6f58-59aa-4aaf-ba15-aa0edc1ff11e · outbound

This paper cites Benjamini and N.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Benjamini and N

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71863de6-863a-4138-8f66-89a960a636bb · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a897e64-e656-4d01-9b5a-e0eb621ee1ae · outbound

This paper cites Billingsley.Convergence of Probability Measures.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Billingsley.Convergence of Probability Measures

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8091548e-67f0-4620-a84e-f7e6fbd8736a · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e0ba1bb-61cc-4765-90c6-91febdd31e6a · outbound

This paper cites Bonnet and N.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Bonnet and N

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53059b64-4480-4d77-994b-71f91fc2deb2 · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9ba4bb4-f9e1-4a74-b34d-6675ca235dc7 · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2b18784-7955-4e44-bb48-e993c8a06e79 · outbound

This paper cites Chen and D.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Chen and D

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb374b82-49c9-4a68-a96e-407ea3032221 · outbound

This paper cites Crawford and A.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Crawford and A

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 979e9914-3056-4f61-95ca-c315849b80af · outbound

This paper cites Friedrich, T.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Friedrich, T

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b90cdfaf-ba5f-4931-b282-bcb782c6ea51 · outbound

This paper cites Grimmett.Percolation, volume 321 ofGrundlehren der mathematischen Wissenschaften.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Grimmett.Percolation, volume 321 ofGrundlehren der mathematischen Wissenschaften

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ad12453-8bd3-4594-a35d-cd66e23968ac · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9db3cc9-405f-4ecf-8e02-90b68ad53a11 · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9da05e50-499c-4f4f-8abc-1e5485b41aa0 · outbound

This paper cites H¨ aggstr¨ om.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation H¨ aggstr¨ om

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41a5b027-480b-4306-b9a7-48c7e5ef5dfc · outbound

This paper cites Hutchcroft and Y.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Hutchcroft and Y

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4f21775-41cd-41c9-a445-5745f16640bc · outbound

This paper cites Krishnapur and Y.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Krishnapur and Y

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35a85e25-adbf-4ed8-81b1-9fae526c9916 · outbound

This paper cites Last and M.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Last and M

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16340318-131a-49f0-bbc0-cb4d0b1c1986 · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f46161a-8eb5-4023-a47c-793718e7c457 · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7807cf18-92a3-4efd-b75a-c3f71e3312b6 · outbound

This paper cites Lyons and Y.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Lyons and Y

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9b763ae-c1de-45db-9680-c344dca5a2c8 · outbound

This paper cites Montgomery.Topics in Random Walks.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Montgomery.Topics in Random Walks

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5956390-7001-46f3-b6f1-a940afff53ed · outbound

This paper cites Nachmias.Planar Maps, Random Walks and Circle Packing.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Nachmias.Planar Maps, Random Walks and Circle Packing

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ceeda315-0e50-45d5-99e3-67d92c836efb · outbound

This paper cites Penrose.Random Geometric Graphs.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Penrose.Random Geometric Graphs

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2020b06b-20e1-447a-b32d-736ab27b1ade · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6591dee5-af83-4814-8532-f050ea9a8bfa · outbound

This paper cites Rousselle.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Rousselle

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 316d0443-4c9f-426c-a2d0-5b1764213b81 · outbound

This paper cites an unresolved cited work.

Collisions of random walks in unimodular random graphs: applications to the random geometric graph and long-range percolation Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-11T22:23:21.358379Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.