Paper Citation Record · LEDGER

Homology in Combinatorial Refraction Billiards

As of 21 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2502.06013.

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

pith.paper-citation-record.v1
2502.06013 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T17:18:53.019012Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

17 of 17 outbound references displayed

verified exact4
verified fuzzy10
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fd584933-8caf-45aa-adcd-a6e4200eb74f · outbound

This paper cites Adams, C.

Homology in Combinatorial Refraction Billiards Adams, C

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-08T17:18:53.425146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 62f2e904-bac4-4bf0-93d2-0ccb66077134 · outbound

This paper cites Baird-Smith, D.

Homology in Combinatorial Refraction Billiards Baird-Smith, D

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:54.151355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cf6393e0-7e87-4107-b46b-589fc3af0744 · outbound

This paper cites Barkley and R.

Homology in Combinatorial Refraction Billiards Barkley and R

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:54.016819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d3c442af-9432-4ee4-8e00-329d72764820 · outbound

This paper cites Barkley, C.

Homology in Combinatorial Refraction Billiards Barkley, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:53.867483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cd356012-7d89-49fa-a821-a9098a41b68d · outbound

This paper cites an unresolved cited work.

Homology in Combinatorial Refraction Billiards Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-08T17:18:53.851955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0a8d8a1a-5991-42f3-8bc3-8bb7072fb15e · outbound

This paper cites Davis, K.

Homology in Combinatorial Refraction Billiards Davis, K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:53.837233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 035a81cd-8988-48fd-9a42-3042fc16ad5d · outbound

This paper cites Davis and W.

Homology in Combinatorial Refraction Billiards Davis and W

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:53.822839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d8cfb4d7-7c51-4ccc-898b-60a7c09386d0 · outbound

This paper cites De Blasi and S.

Homology in Combinatorial Refraction Billiards De Blasi and S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:53.772143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1590b1cb-4c19-4fb2-87b1-5e9083cf5bcd · outbound

This paper cites De Blasi and S.

Homology in Combinatorial Refraction Billiards De Blasi and S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:53.653285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1f0d93d7-3f29-4563-a015-f16c7d3caf45 · outbound

This paper cites Random Combinatorial Billiards and Stoned Exclusion Processes.

Homology in Combinatorial Refraction Billiards Random Combinatorial Billiards and Stoned Exclusion Processes

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-08T17:18:52.986165Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2ace396-cd1a-4afe-979f-22f9f83ec5d0 · outbound

This paper cites an unresolved cited work.

Homology in Combinatorial Refraction Billiards Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-08T17:18:53.561768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 31a3819e-19c4-4ddb-86b8-f21dc590f436 · outbound

This paper cites Defant and P.

Homology in Combinatorial Refraction Billiards Defant and P

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:53.547270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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

This paper cites Random Subwords and Billiard Walks in Affine Weyl Groups.

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 2026-08-21T06:32:19.484+00:00.

Observation 4bdcc192-72fd-40b6-bad9-c43d342bad6a · outbound

This paper cites Deviations for generalized tiling billiards in cyclic polygons.

Homology in Combinatorial Refraction Billiards Deviations for generalized tiling billiards in cyclic polygons

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-08T17:18:53.205437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1d4dacb2-9cc9-4fca-b143-4b8b04eb6849 · outbound

This paper cites Paris-Romaskevich.

Homology in Combinatorial Refraction Billiards Paris-Romaskevich

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:53.531680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7c404492-10d2-4dc7-8a4e-95056b8737bc · outbound

This paper cites Smith, J.

Homology in Combinatorial Refraction Billiards Smith, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T17:18:53.516849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cf451d66-9894-42a9-8df7-bd1f3507d078 · outbound

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

Homology in Combinatorial Refraction Billiards The maximum number of cycles in a triangular-grid billiards system with a given perimeter

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-08T17:18:53.114372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.