Paper Citation Record · LEDGER

Random Subwords and Billiard Walks in Affine Weyl Groups

As of 15 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2501.11095.

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

pith.paper-citation-record.v1
2501.11095 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:53:46.740434Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T17:18:52.999503Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-08T17:18:53.220663Z

Reference resolution

14 of 14 outbound references displayed

verified exact1
verified fuzzy4
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6cfb6dc-5b09-417b-a573-5647c041ed65 · outbound

This paper cites Adams, C.

Random Subwords and Billiard Walks in Affine Weyl Groups Adams, C

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T18:53:46.675789Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91bde687-159f-43ed-9dc8-5b7e984f19e5 · outbound

This paper cites an unresolved cited work.

Random Subwords and Billiard Walks in Affine Weyl Groups Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:53:47.066692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f6f2f92d-80dd-4591-9c44-a3e5ab02b081 · outbound

This paper cites Barkley, C.

Random Subwords and Billiard Walks in Affine Weyl Groups Barkley, C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:53:47.052320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation eba8f539-d450-43f8-bd72-96e3c12bb82d · outbound

This paper cites Billingsley, Probability and measure, 3rd ed.

Random Subwords and Billiard Walks in Affine Weyl Groups Billingsley, Probability and measure, 3rd ed

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:53:47.037960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation a1ded040-d428-49db-8cb7-f0f0a26bcfe8 · outbound

This paper cites Random Combinatorial Billiards and Stoned Exclusion Processes.

Random Subwords and Billiard Walks in Affine Weyl Groups Random Combinatorial Billiards and Stoned Exclusion Processes

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T18:53:46.697270Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a093ad6-dd3b-461d-b207-7fda064a85db · outbound

This paper cites Random Subwords and Pipe Dreams.

Random Subwords and Billiard Walks in Affine Weyl Groups Random Subwords and Pipe Dreams

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:53:46.814776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d2f87169-b9b4-4f8e-bcfc-2cbd9d6dfef8 · outbound

This paper cites Defant and P.

Random Subwords and Billiard Walks in Affine Weyl Groups Defant and P

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T18:53:46.707087Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1bdbaf8-3a60-4371-b0e1-257d8ce36292 · outbound

This paper cites Develin, M.

Random Subwords and Billiard Walks in Affine Weyl Groups Develin, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:53:47.009928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 13b59bab-df0f-41af-a3c9-f6243a7d24f6 · outbound

This paper cites Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability.

Random Subwords and Billiard Walks in Affine Weyl Groups Grothendieck Shenanigans: Permutons from pipe dreams via integrable probability

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T18:53:46.716111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3646c673-265a-44d1-bebc-943680a5a5d0 · outbound

This paper cites Nam and E.

Random Subwords and Billiard Walks in Affine Weyl Groups Nam and E

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:53:46.995043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6bf9aa01-1cf3-4c0e-a299-ed9041392004 · outbound

This paper cites an unresolved cited work.

Random Subwords and Billiard Walks in Affine Weyl Groups Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:53:46.979171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation d59709c2-982a-4af0-9bea-6920f24faf0c · outbound

This paper cites an unresolved cited work.

Random Subwords and Billiard Walks in Affine Weyl Groups Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:53:46.964355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3028c100-7542-4227-9a18-1bb819280340 · outbound

This paper cites an unresolved cited work.

Random Subwords and Billiard Walks in Affine Weyl Groups Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:53:46.949052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3d85bdf2-786d-4f67-8196-e965df28b95b · outbound

This paper cites The maximum number of cycles in a triangular-grid billiards system with a given perimeter.

Random Subwords and Billiard Walks in Affine Weyl Groups The maximum number of cycles in a triangular-grid billiards system with a given perimeter

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T18:53:46.740434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation d4afab76-2c2d-42a9-8df3-688bef5e807e · inbound

Homology in Combinatorial Refraction Billiards cites this paper.

Homology in Combinatorial Refraction Billiards Random Subwords and Billiard Walks in Affine Weyl Groups

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-08T17:18:53.224987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.