Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T14:27:53.426394Z
Paper Citation Record · LEDGER
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds
As of 13 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2411.15412.
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
9 of 9 outbound references displayed
- verified exact0
- verified fuzzy7
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 9bb3ab58-55f5-471e-8024-f1dccb6d9105 · outbound
This paper cites Federico II.
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds Federico II
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:27:53.604277Z
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 45e5b32e-e4e9-4a7c-8246-67dc12ec8800 · outbound
This paper cites Sobolev and Isoperimetric Inequalities on Riemannian Mani folds, MIT, 2022.
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds Sobolev and Isoperimetric Inequalities on Riemannian Mani folds, MIT, 2022
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:27:53.587898Z
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 0de1e593-20d4-4c60-a432-1e8258325759 · outbound
This paper cites Lectures on Geometric Measure Theory , Stanford University, 1984.
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds Lectures on Geometric Measure Theory , Stanford University, 1984
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:27:53.571457Z
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 476d4147-3958-46ec-8a84-f4355190fa5a · outbound
This paper cites Isoperimetric Inequalities: Differential Geometric and An alytic Perspectives , Cambridge University Press, 2001.
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds Isoperimetric Inequalities: Differential Geometric and An alytic Perspectives , Cambridge University Press, 2001
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:27:53.554084Z
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 7b138198-8104-4671-9ebf-f2c23e612005 · outbound
This paper cites Sobolev Spaces, Department of Mathematics, Aalto University, 2024.
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds Sobolev Spaces, Department of Mathematics, Aalto University, 2024
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:27:53.535030Z
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 7099cdaa-28cb-4819-a046-add980f23f8f · outbound
This paper cites Lieb, Michael Loss.
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds Lieb, Michael Loss
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:27:53.518103Z
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 bd9219d8-6789-4f00-80fe-8c7088da189b · outbound
This paper cites Riemannian Geometry: A Modern Introduction , Cambridge University Press, 1994.
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds Riemannian Geometry: A Modern Introduction , Cambridge University Press, 1994
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T14:27:53.499985Z
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 c9196650-d50f-44b4-a100-2d69a91ee34d · outbound
This paper cites an unresolved cited work.
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T14:27:53.482117Z
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 80aa30f7-f86f-4752-82ed-dd522fc876f2 · outbound
This paper cites an unresolved cited work.
Symmetric Rearrangement and Geometric Inequalities on Riemannian Manifolds Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T14:27:53.464272Z
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.