Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:57:01.249626Z
Paper Citation Record · LEDGER
A generalized sphere theorem and its applications
As of 7 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2506.01251.
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 2026-08-07T06:34:17.273281+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
12 of 12 outbound references displayed
- verified exact0
- verified fuzzy7
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ae978c7f-cc5f-466c-96bf-54e2e2c567ec · outbound
This paper cites Brendle, R.
A generalized sphere theorem and its applications Brendle, R
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:01.451834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5de0727d-2d04-4e91-ae09-fb22f48c709f · outbound
This paper cites Chavel, Eigenvalues in Riemannian Geometry , Academic Press, New York (1984).
A generalized sphere theorem and its applications Chavel, Eigenvalues in Riemannian Geometry , Academic Press, New York (1984)
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:01.437078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 196641bf-f1ca-4006-afea-015afa13f904 · outbound
This paper cites an unresolved cited work.
A generalized sphere theorem and its applications Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:01.422469Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2749d1f2-a500-4239-a9e2-09a9a49b3aa6 · outbound
This paper cites Freitas, J.
A generalized sphere theorem and its applications Freitas, J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:01.407966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation b4edc64e-da48-4dab-bb36-a0d18ab56986 · outbound
This paper cites Grove, K.
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:01.393173Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1d5be7ab-cf9c-48d6-ac42-7a2a196e05d4 · outbound
This paper cites an unresolved cited work.
A generalized sphere theorem and its applications Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:01.378922Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5cd5a6a0-6b81-46ed-9d21-68049c86d846 · outbound
This paper cites Lichnerowicz, Geometrie des Groups des Transformationes , Dunod, Paris (1958).
A generalized sphere theorem and its applications Lichnerowicz, Geometrie des Groups des Transformationes , Dunod, Paris (1958)
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:01.363018Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 660d81ff-242c-4e90-83e1-439fd1826670 · outbound
This paper cites Mao, Eigenvalue estimation and some results on finite topologica l type, Ph.D.
A generalized sphere theorem and its applications Mao, Eigenvalue estimation and some results on finite topologica l type, Ph.D
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:01.346609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5c96f0dd-15b6-484e-b115-8398825b44d4 · outbound
This paper cites Mao, Eigenvalue inequalities for the p-Laplacian on a Riemannian manifold and estimates for the heat kernel , J.
A generalized sphere theorem and its applications Mao, Eigenvalue inequalities for the p-Laplacian on a Riemannian manifold and estimates for the heat kernel , J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:57:01.331143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 76e600d7-be46-4b15-a08b-3aa22d3d7b2c · outbound
This paper cites an unresolved cited work.
A generalized sphere theorem and its applications Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:01.315791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 57710d62-0a70-4848-b764-d18d383faf2b · outbound
This paper cites an unresolved cited work.
A generalized sphere theorem and its applications Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:01.300913Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 9c928809-302e-479f-9ff8-148b4853cf3d · outbound
This paper cites an unresolved cited work.
A generalized sphere theorem and its applications Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:57:01.285638Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.