Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T15:15:10.662319Z
Paper Citation Record · LEDGER
Spherical n-lunes: billiards and eigenvalues
As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2608.09557.
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 2026-08-12T06:34:41.77262+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
21 of 21 outbound references displayed
- verified exact2
- verified fuzzy10
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 43968c53-372d-4493-8b9b-988a0b00d191 · outbound
This paper cites an unresolved cited work.
Spherical n-lunes: billiards and eigenvalues Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T15:15:10.988058Z
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 23d984e4-8910-4bd9-829a-a64d8a29a400 · outbound
This paper cites Bang, Eigenvalues of the Laplacian on a geodesic ball in the n-sphere, Chinese J.
Spherical n-lunes: billiards and eigenvalues Bang, Eigenvalues of the Laplacian on a geodesic ball in the n-sphere, Chinese J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.974607Z
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 b2d377b9-dfdd-4b32-ad08-ae30818314d3 · outbound
This paper cites B\' e rard and G.
Spherical n-lunes: billiards and eigenvalues B\' e rard and G
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.961282Z
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 d8a96afb-0f6c-4ed9-8321-29c45f901f15 · outbound
This paper cites Berger, P.
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.947860Z
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 47548b29-a75a-4692-a06a-5f993d680211 · outbound
This paper cites Besse, Manifolds all of whose geodesics are closed, Springer-Verlag, Berlin, Heidelberg, New York (1978).
Spherical n-lunes: billiards and eigenvalues Besse, Manifolds all of whose geodesics are closed, Springer-Verlag, Berlin, Heidelberg, New York (1978)
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.933921Z
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 1f5fc717-c7c2-481f-9e47-48d643ee4c0f · outbound
This paper cites an unresolved cited work.
Spherical n-lunes: billiards and eigenvalues Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T15:15:10.918942Z
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 5ad77161-e861-49d5-bd97-f1071e6ce16c · outbound
This paper cites Luzzini, L.
Spherical n-lunes: billiards and eigenvalues Luzzini, L
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.903889Z
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 1e6267e2-cfae-48a9-b534-e9ac41db1233 · outbound
This paper cites Freitas, J.
Spherical n-lunes: billiards and eigenvalues Freitas, J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.886262Z
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 d61912f8-2de8-4361-bc47-33ea9a310dfa · outbound
This paper cites Freitas and I.
Spherical n-lunes: billiards and eigenvalues Freitas and I
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T15:15:10.608701Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation afefb8a0-5c0e-4658-a26b-d4549e9adb6d · outbound
This paper cites P\'{o}lya's conjecture on $\mathbb{S}^1 \times \R$.
Spherical n-lunes: billiards and eigenvalues P\'{o}lya's conjecture on $\mathbb{S}^1 \times \R$
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T15:15:10.612928Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f0918ea8-7a77-44f6-b7e5-803496385c9e · outbound
This paper cites an unresolved cited work.
Spherical n-lunes: billiards and eigenvalues Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T15:15:10.867172Z
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 7c8a8964-64b9-411e-a4c2-41d4d1ad1ed5 · outbound
This paper cites U ber die asymptotische Verteilung der Eigenwerte des Laplace-Operators f\.
Spherical n-lunes: billiards and eigenvalues U ber die asymptotische Verteilung der Eigenwerte des Laplace-Operators f\
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.853206Z
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 8013ec5b-15f2-4d6c-ba43-0e4e7cf4ea88 · outbound
This paper cites an unresolved cited work.
Spherical n-lunes: billiards and eigenvalues Unresolved cited work
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-11T15:15:10.698244Z
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 afcc737c-3276-496a-82a1-003b27ce9099 · outbound
This paper cites H\" o rmander, The spectral function of an elliptic operator , Acta Math.
Spherical n-lunes: billiards and eigenvalues H\" o rmander, The spectral function of an elliptic operator , Acta Math
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.839014Z
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 61efbb2a-febe-4693-94f6-932efbe460d6 · outbound
This paper cites an unresolved cited work.
Spherical n-lunes: billiards and eigenvalues Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T15:15:10.822711Z
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 785be193-f151-42d6-992c-0ccdfa01fa94 · outbound
This paper cites Grassman manifolds as subsets of Euclidean spaces.
Spherical n-lunes: billiards and eigenvalues Grassman manifolds as subsets of Euclidean spaces
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T15:15:10.731023Z
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 9c898523-2c0d-4e68-836b-6162a2e1b113 · outbound
This paper cites P\' o lya, Mathematics and plausible reasoning: patterns of plausible inference, 2nd Edition, Princeton University Press (1968).
Spherical n-lunes: billiards and eigenvalues P\' o lya, Mathematics and plausible reasoning: patterns of plausible inference, 2nd Edition, Princeton University Press (1968)
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T15:15:10.644968Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0c3d0828-d606-4a54-aba1-ff52701756b4 · outbound
This paper cites P\' o lya, On the eigenvalues of vibrating membranes.
Spherical n-lunes: billiards and eigenvalues P\' o lya, On the eigenvalues of vibrating membranes
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T15:15:10.649182Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4512e45f-4036-4305-abbf-cebf0029e5e7 · outbound
This paper cites Safarov and D.
Spherical n-lunes: billiards and eigenvalues Safarov and D
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.789942Z
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 50920faa-1d23-42ff-8a56-510af8d81258 · outbound
This paper cites an unresolved cited work.
Spherical n-lunes: billiards and eigenvalues Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T15:15:10.775680Z
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 8321416a-8c54-471b-8201-18e2ecc6cb4b · outbound
This paper cites 98, (2006).
Spherical n-lunes: billiards and eigenvalues 98, (2006)
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:15:10.761402Z
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
No inbound Pith citation observations are available.