Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-30T15:09:25.788032Z
Paper Citation Record · LEDGER
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram
As of 9 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2607.26979.
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 2026-08-09T06:31:02.800959+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
10 of 10 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5e4ded79-c511-4923-af25-fbe032d4c2ec · outbound
This paper cites Convergence of cones of metric measure spaces and its application to Cauchy distribution.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram Convergence of cones of metric measure spaces and its application to Cauchy distribution
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.730735Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e2e365a1-7d53-4965-af50-3d9bd3f5b4fb · outbound
This paper cites Gromov.Metric structures for Riemannian and non-Riemannian spaces.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram Gromov.Metric structures for Riemannian and non-Riemannian spaces
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.738050Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 81ccf6c8-0f19-4dce-b7b3-8cad56119967 · outbound
This paper cites Convergence of metric transformed spaces.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram Convergence of metric transformed spaces
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.744253Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4bc98ad9-3b24-4ce3-8d17-3fa7f101520d · outbound
This paper cites High-dimensional ellipsoids converge to Gaussian spaces.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram High-dimensional ellipsoids converge to Gaussian spaces
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.752792Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1ce1339-ff75-4ff2-8bd2-2618939190c5 · outbound
This paper cites Box distance and observable distance via optimal transport.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram Box distance and observable distance via optimal transport
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.759333Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22e23a7a-94b0-4b5e-aab0-3fd5d6957d3c · outbound
This paper cites Extension of Gromov's Lipschitz order to with additive errors.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram Extension of Gromov's Lipschitz order to with additive errors
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.764883Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 31c8b3cf-cb7a-4dd2-bae3-669f3cb3aa7d · outbound
This paper cites Ozawa and T.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram Ozawa and T
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.770984Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a86ded90-a9e8-4ae2-86bc-994ba4c206a0 · outbound
This paper cites Shioya.Metric measure geometry, volume 25 ofIRMA Lectures in Mathematics and Theoretical Physics.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram Shioya.Metric measure geometry, volume 25 ofIRMA Lectures in Mathematics and Theoretical Physics
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.777034Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4a48f40-d7ec-4c3e-8457-08b453c40147 · outbound
This paper cites an unresolved cited work.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram Unresolved cited work
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.782653Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e3ad996-5e1d-464e-9907-6b75f0d053bd · outbound
This paper cites A Complete Proof of the Limit Formula for Observable Diameter.
Poincar\'e Beta Balls: Radial Laws, Shell Transforms, and Phase Diagram A Complete Proof of the Limit Formula for Observable Diameter
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-07-30T15:09:25.788032Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.