Paper Citation Record · LEDGER

Collision properties of the four-dimensional random walk trace

As of 12 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 1 inbound Pith citation observation for arXiv:2605.30755.

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

pith.paper-citation-record.v1
2605.30755 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T21:28:43.302983Z

measured 26 of 26 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T06:08:15.459958Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

verified exact3
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7ce24e3e-df64-4816-9c41-9a47a73b83ca · outbound

This paper cites Athreya, W.

Collision properties of the four-dimensional random walk trace Athreya, W

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4ce138a-20a1-4097-91cb-cd9f0b428f57 · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ae683e8-2f98-4eb3-b626-eda3e471ffe7 · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3ca72d1-491b-4674-937d-ea54ddd234e7 · outbound

This paper cites Chen and D.

Collision properties of the four-dimensional random walk trace Chen and D

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45574a3b-e561-40f1-8827-ed9a7897f050 · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a68bab8-e92c-4944-ad41-b1ee69f83f32 · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9f8bd64-db2c-48d7-837f-3ebc06945360 · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b95ca73-855e-4708-ad6b-bb84e5c35d27 · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39fac9ae-2ee2-4853-b72c-5aa8ea4b97cb · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48626bfe-bf7f-4e03-924c-a48e0b526af9 · outbound

This paper cites Hutchcroft and Y.

Collision properties of the four-dimensional random walk trace Hutchcroft and Y

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bba43700-65f2-43b4-ab08-fdf2d2a91913 · outbound

This paper cites Kallenberg.Foundations of modern probability.

Collision properties of the four-dimensional random walk trace Kallenberg.Foundations of modern probability

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ddcc34d-b114-4e85-983b-4699bc85958e · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 087c4ae6-f487-428f-a0ad-edea759a979a · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c7a55fd-bb86-4769-b2d9-cf5b94cc9d3d · outbound

This paper cites Krishnapur and Y.

Collision properties of the four-dimensional random walk trace Krishnapur and Y

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72dd05ff-e98d-44b7-91ad-0bd8fe08fca3 · outbound

This paper cites Kumagai.Random walks on disordered media and their scaling limits, volume 2101 ofLecture Notes in Mathematics.

Collision properties of the four-dimensional random walk trace Kumagai.Random walks on disordered media and their scaling limits, volume 2101 ofLecture Notes in Mathematics

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2423987b-7ec3-4e0e-a500-5f21b3cad2fb · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00b6e3b1-eb25-4e3a-ab24-212fae426de4 · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77c8e8ce-a2cf-4cd2-aee3-7e04333178ee · outbound

This paper cites Lyons and Y.

Collision properties of the four-dimensional random walk trace Lyons and Y

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8310ba8a-b9a8-4bdf-91b2-4a2d1d970a3a · outbound

This paper cites an unresolved cited work.

Collision properties of the four-dimensional random walk trace Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ca9ddc9-74d5-4245-bfd2-da2b8e3682fe · outbound

This paper cites Noda, Convergence of space-time occupation measures of stochastic processes and its application to collisions , preprint.

Collision properties of the four-dimensional random walk trace Noda, Convergence of space-time occupation measures of stochastic processes and its application to collisions , preprint

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-01T20:16:11.590479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d18709f1-e20b-43fc-8da4-2d6af5d0702c · outbound

This paper cites Metrization of Gromov-Hausdorff-type topologies on boundedly-compact metric spaces.

Collision properties of the four-dimensional random walk trace Metrization of Gromov-Hausdorff-type topologies on boundedly-compact metric spaces

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-01T20:16:11.596698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2ae76c3e-8ee0-454a-b8c7-185149f39a5f · outbound

This paper cites Shiraishi.

Collision properties of the four-dimensional random walk trace Shiraishi

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1860a08-a8cd-402b-bacf-fd71f4f60022 · outbound

This paper cites Shiraishi.

Collision properties of the four-dimensional random walk trace Shiraishi

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae21ff31-f54b-479e-8e56-a5a15256bf58 · outbound

This paper cites Shiraishi.

Collision properties of the four-dimensional random walk trace Shiraishi

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-28T21:28:43.302983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd20c1bd-6681-48f7-abb3-7712f6f0976f · outbound

This paper cites Shiraishi and S.

Collision properties of the four-dimensional random walk trace Shiraishi and S

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-07-01T20:16:11.593689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation a477dc94-afd7-4cd6-b53a-49f98909ab34 · inbound

Infinite collisions of simple random walks on random recursive trees generated by Bernoulli sequences cites this paper.

Infinite collisions of simple random walks on random recursive trees generated by Bernoulli sequences Collision properties of the four-dimensional random walk trace

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-12T06:08:15.459958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.