Paper Citation Record · LEDGER

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor

As of 15 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.

pith.paper-citation-record.v1
2412.13465 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:16:24.427453Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy6
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8ee819a7-6160-4d0d-bed5-60064e3e6be2 · outbound

This paper cites New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T13:16:24.278419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e678a5d6-e04c-46d9-8d28-10ba58426d6f · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.922588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation ec5a7e57-bb83-4e4d-8679-1021a76f530e · outbound

This paper cites Proof of Bishop's volume comparison theorem using singular soap bubbles.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Proof of Bishop's volume comparison theorem using singular soap bubbles

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T13:16:24.297347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0934647d-5a9d-4028-bc49-27bf4ea8bc6a · outbound

This paper cites Lecture Notes in Math., 1123, Springer-V erlag, Berlin, 1985.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Lecture Notes in Math., 1123, Springer-V erlag, Berlin, 1985

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:16:24.907125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3b92b3f2-8b60-42a8-85d6-7f410fa8b473 · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.888852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f5a2e06e-ab6c-4a08-adf8-9604f3afd706 · outbound

This paper cites Theta Ser.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Theta Ser

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:16:24.872230Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8a34575e-d5c1-438d-96b8-d95a5b0a59b1 · outbound

This paper cites Stable minimal hypersurfaces in $\mathbf{R}^5$.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Stable minimal hypersurfaces in $\mathbf{R}^5$

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T13:16:24.322739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f0d9e83-424c-42b9-8995-e51204523bbf · outbound

This paper cites Four Lectures on Scalar Curvature.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Four Lectures on Scalar Curvature

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T13:16:24.327528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bb7bfff-8292-4bd3-af74-7ffa6917bc3a · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.855640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 89691b9f-86e6-44a8-94fd-703fde263c4e · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.839452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2d8f4f59-779f-4034-8273-9f7d877b589b · outbound

This paper cites Diﬀerential Geometry 6 (1971/72), 47–94.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Diﬀerential Geometry 6 (1971/72), 47–94

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:16:24.821594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3589e101-439e-4636-a965-f04e0c966009 · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.806013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8001f47c-a514-455d-a719-7fedc40993dd · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.786700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9d83ec75-4dd0-44bd-b8af-cb0bb42aad29 · outbound

This paper cites Sets of ﬁnite perimeter and geometric variational problems , An introduc- tion to geometric measure theory, Cambridge Stud.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:16:24.762131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f9b380fe-a736-4e7f-af78-fdeb6289191f · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.743922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c72a1913-d18d-486d-985f-da2394fca541 · outbound

This paper cites A beginner’s guide , Fourth edition, Else- vier/Academic Press, Amsterdam, 2009.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor A beginner’s guide , Fourth edition, Else- vier/Academic Press, Amsterdam, 2009

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:16:24.713176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bd7d2add-7bb4-4400-b475-b6dc429afbd4 · outbound

This paper cites The entropy formula for the Ricci flow and its geometric applications.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor The entropy formula for the Ricci flow and its geometric applications

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T13:16:24.395215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61b57fd3-e51c-4f68-a6d4-fd50f791583d · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.690404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 5ecc7f7f-697c-46ed-95d0-8e20e36b2d6c · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.671120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 99d8939e-474b-44a5-bb43-7a9f4dba3e01 · outbound

This paper cites Diﬀerential Geom.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Diﬀerential Geom

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T13:16:24.644306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 85eb028c-1fa1-455f-b3b1-27d4e4ca44b9 · outbound

This paper cites Dimension constraints in some problems involving intermediate curvature.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Dimension constraints in some problems involving intermediate curvature

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T13:16:24.420911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3f52819-5258-446f-a3c1-f8d7ed1b4e11 · outbound

This paper cites an unresolved cited work.

Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T13:16:24.622466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

No inbound Pith citation observations are available.