Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-08T17:18:53.019012Z
Paper Citation Record · LEDGER
Homology in Combinatorial Refraction Billiards
As of 15 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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.
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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.
Observation d3c442af-9432-4ee4-8e00-329d72764820 · outbound
This paper cites 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.
Observation 0a8d8a1a-5991-42f3-8bc3-8bb7072fb15e · outbound
This paper cites 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.
Observation 7c404492-10d2-4dc7-8a4e-95056b8737bc · outbound
This paper cites 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 2026-08-14T06:32:32.682623+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 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.