Pith. sign in

Paper Citation Record · LEDGER

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

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.

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 2026-08-12T06:34:41.77262+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.

source=pdf_text observed=2026-08-11T13:16:24.278419Z digest=sha256:192d02ff2159a29f65169b90b4b00553d5ae0f84dd9b497e4f7e9ca8264106a3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.291808Z digest=sha256:882c1b41213c889f610284e0b6327c434af31e78a862812241d12b176b8d51c6

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.

source=pdf_text observed=2026-08-11T13:16:24.297347Z digest=sha256:6ca2ef2d5d3a00c05fed94f156bd1ad5a1b599cb62695f2413959a1e813bc4ed

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.304941Z digest=sha256:481d3d35542b4fe1b4a015c60e760d6476e1e6371faa4532d5bd02473e13d94e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.311598Z digest=sha256:63328b80ee9facac61f1c09da5813e39a569417742f37b1d1a8e78e94334ccc0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.317837Z digest=sha256:5ae92a3e56bc70968bfc775aed3a8a9748e7fc1af4a9ae1d55760035f1abcd74

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.

source=pdf_text observed=2026-08-11T13:16:24.322739Z digest=sha256:8d75102e6b22d1ccd0b1f8742c68cfbe43e363a8749afe0db70ecec612ebe12e

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.

source=pdf_text observed=2026-08-11T13:16:24.327528Z digest=sha256:e3e6df936707d902d0597ab9f7564140070a07772aa7acf080c0bea4c265bcc0

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.333594Z digest=sha256:5b5d5718c99aea7ab244e79a3dd9792c7d42135303092a901058a880eb2d9041

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.342360Z digest=sha256:74de87a9002c6ed4f7f3c9cd438a942bf767901322a422e12887274448363cfc

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.348094Z digest=sha256:9e4ccfe7d31762a20ce09485e1d3399fc4a9af6959fcff457b2a9855f939f976

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.353988Z digest=sha256:63584b7e23ad19d62d2723cfb5601afbe168417709e170212a7428057b3db3fe

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.360276Z digest=sha256:2d503f606f10e73a2eaf0d717f4804553237314218dd1c50a1fa8401691ab894

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.365517Z digest=sha256:d4170e8d935f5eed75e6bb50c1a22e9d7d38e027dd84f20245985115b9d03adb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.372868Z digest=sha256:aa619e86b866821fa290b091d21ef4c20cf19569bc1bf7e33cc6beb62240ea39

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.389007Z digest=sha256:733e7c3f979305d89d9e13d2998b341ce1f383d39f06e27cd02d4a5e928f52d6

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.

source=pdf_text observed=2026-08-11T13:16:24.395215Z digest=sha256:f21e0a8edc0548d8956f9880883d33d2b12516d407aaa7bf570385c804264e04

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.402755Z digest=sha256:f47b6735ce299059b2d9c0812766de094822bae954e9736588bb83c429341f74

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.408491Z digest=sha256:6b417371eee37f89a36fee93b547c850c89d2e81ffa76cd3e3f4c6bc3c33c7e7

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.415153Z digest=sha256:dbe1e0a6860cf1660edf11c6048c3f59576af2723230fbf7e9875bb82e20b649

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.

source=pdf_text observed=2026-08-11T13:16:24.420911Z digest=sha256:ac77cd6e5839194e505f1e1fe0192edf41e507071cdaa781889c74ee38ad8f86

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T13:16:24.427453Z digest=sha256:2d4376e6b826f40f77b9cf7e863e2d59b9d47394669b48052f956b3250216b74

Pith citing papers

No inbound Pith citation observations are available.