Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:16:24.427453Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2412.13465.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T13:16:24.427453Z
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
22 of 22 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 8ee819a7-6160-4d0d-bed5-60064e3e6be2 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e678a5d6-e04c-46d9-8d28-10ba58426d6f · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 2
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 ec5a7e57-bb83-4e4d-8679-1021a76f530e · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Proof of Bishop's volume comparison theorem using singular soap bubbles
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0934647d-5a9d-4028-bc49-27bf4ea8bc6a · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Lecture Notes in Math., 1123, Springer-V erlag, Berlin, 1985
Reference 4
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 3b92b3f2-8b60-42a8-85d6-7f410fa8b473 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 5
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 f5a2e06e-ab6c-4a08-adf8-9604f3afd706 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Theta Ser
Reference 6
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 8a34575e-d5c1-438d-96b8-d95a5b0a59b1 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Stable minimal hypersurfaces in $\mathbf{R}^5$
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f0d9e83-424c-42b9-8995-e51204523bbf · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Four Lectures on Scalar Curvature
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6bb7bfff-8292-4bd3-af74-7ffa6917bc3a · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 9
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 89691b9f-86e6-44a8-94fd-703fde263c4e · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 10
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 2d8f4f59-779f-4034-8273-9f7d877b589b · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Differential Geometry 6 (1971/72), 47–94
Reference 11
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 3589e101-439e-4636-a965-f04e0c966009 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 12
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 8001f47c-a514-455d-a719-7fedc40993dd · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 13
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 9d83ec75-4dd0-44bd-b8af-cb0bb42aad29 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Sets of finite perimeter and geometric variational problems , An introduc- tion to geometric measure theory, Cambridge Stud
Reference 14
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 f9b380fe-a736-4e7f-af78-fdeb6289191f · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 15
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 c72a1913-d18d-486d-985f-da2394fca541 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor A beginner’s guide , Fourth edition, Else- vier/Academic Press, Amsterdam, 2009
Reference 16
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 bd7d2add-7bb4-4400-b475-b6dc429afbd4 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor The entropy formula for the Ricci flow and its geometric applications
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 61b57fd3-e51c-4f68-a6d4-fd50f791583d · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 18
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 5ecc7f7f-697c-46ed-95d0-8e20e36b2d6c · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 19
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 99d8939e-474b-44a5-bb43-7a9f4dba3e01 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Differential Geom
Reference 20
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 85eb028c-1fa1-455f-b3b1-27d4e4ca44b9 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Dimension constraints in some problems involving intermediate curvature
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3f52819-5258-446f-a3c1-f8d7ed1b4e11 · outbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work
Reference 22
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.
No inbound Pith citation observations are available.