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Paper Citation Record · LEDGER

Non-colliding billiards in the plane

As of 11 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2605.23575.

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

pith.paper-citation-record.v1
2605.23575 v2

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T15:14:25.483281Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

9 of 9 outbound references displayed

  • verified exact2
  • verified fuzzy6
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0c1d3b0d-bce0-4f05-9c75-aa1249ec2edb · outbound

This paper cites Beer,Topologies on Closed and Closed Convex Sets, Mathematics and Its Applications, vol.

Non-colliding billiards in the plane Beer,Topologies on Closed and Closed Convex Sets, Mathematics and Its Applications, vol

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T18:25:26.598749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T15:14:25.483281Z digest=sha256:e7ffcc7afebc4b036652bcc9b0e60dba610815bee59147234618e51da1257b7d

Observation d5f2bb90-df1d-45c6-98c2-3fe5cfa481cd · outbound

This paper cites Bezdek and W.

Non-colliding billiards in the plane Bezdek and W

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T18:25:26.596991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T15:14:25.483281Z digest=sha256:57fcfc0aa0ac9b57a1d5c4cf98e3e59274aa5df8739c2d1ecaf75166184efa78

Observation ff54f48d-7a8d-4fb6-9cf4-f2545a8c9494 · outbound

This paper cites On non-parallel cylinder packings.

Non-colliding billiards in the plane On non-parallel cylinder packings

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-06-30T15:14:46.781392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T15:14:25.483281Z digest=sha256:75314b624aa20b9fe012d75ae8a3065fe1f6d88c4cc1f3fd64cf37a2b803e91f

Observation f702af94-8bad-410b-8a0d-fa0deab994bf · outbound

This paper cites an unresolved cited work.

Non-colliding billiards in the plane Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-08T18:25:26.593701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T15:14:25.483281Z digest=sha256:6cb66782ae9e6583119804d9876e92dabb0e77e1fa585bf0be25a62f44453dca

Observation 65ce719d-13da-4317-9665-901dd7796f82 · outbound

This paper cites Ismailescu and P.

Non-colliding billiards in the plane Ismailescu and P

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T18:25:26.595342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T15:14:25.483281Z digest=sha256:1a27e8c16474f583edff3a2408088d81705ad0976f5cef6dcbd0e95d7bc6cfc5

Observation 136a4d26-6c1a-4449-b12b-51a8501a377e · outbound

This paper cites Kuperberg, A nonparallel cylinder packing with positive density,Mathematika37(1990), no.

Non-colliding billiards in the plane Kuperberg, A nonparallel cylinder packing with positive density,Mathematika37(1990), no

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T18:25:26.600484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T15:14:25.483281Z digest=sha256:79c3576c7de62bffb3f547f63ed0683822aaad1c05bbf26edf9bc0d0156cd2b1

Observation 0febd830-b227-485a-96f1-d215d6b97593 · outbound

This paper cites Smilansky and Y.

Non-colliding billiards in the plane Smilansky and Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T18:25:26.602024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T15:14:25.483281Z digest=sha256:7ddf8db2308ea9e6485854c4c99487c6e904a908209b359d9e0e233052e1c273

Observation 46dea29c-3e09-4efc-bbb3-8ffd350d065a · outbound

This paper cites Solomon and B.

Non-colliding billiards in the plane Solomon and B

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-08T18:25:26.603518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T15:14:25.483281Z digest=sha256:38ffe9672231405ca90b858cf03399aa8342d7b6e7e8c14e913141dc33aff862

Observation c806789a-7cbf-4a49-bb65-f395d9decc5f · outbound

This paper cites Some remarks on the lonely runner conjecture.

Non-colliding billiards in the plane Some remarks on the lonely runner conjecture

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-06-30T15:14:46.778282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T15:14:25.483281Z digest=sha256:3872a8cb29dabc6ff6b5b0bcb7e5b5c2f861f2981b18869ec4f8fdb904c1c820

Pith citing papers

No inbound Pith citation observations are available.