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Paper Citation Record · LEDGER

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature

As of 19 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 2 inbound Pith citation observations for arXiv:2507.07655.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2507.07655 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:53:22.616832Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:55:37.347001Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T15:22:32.356413Z

Reference resolution

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved9
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d4d29cd4-bdba-408d-9a17-e84f1cdfc0eb · outbound

This paper cites Agostiniani, M.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Agostiniani, M

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:25.894753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:20.848970Z digest=sha256:9b9ed80a726cc945db4d87b892328ef0fc3c9b613594d868df1c7c26f2a64b59

Observation eea776fd-a839-498c-9e40-3c40f078bba5 · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:53:25.768030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:20.922950Z digest=sha256:3057b146ba20dd83279798c57bee348d1bb5a2c4b3ac61797efdaf36f28611ec

Observation 5e700a71-80dc-4d9a-9e75-5b7188186fd4 · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:53:25.647074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.021641Z digest=sha256:f38f6143fda6f255af96ec8f56a0706808ffa582f024574f4c346cc8b49c3812

Observation ef2b452c-e285-4714-bb0a-1351da9bef3f · outbound

This paper cites Ballmann.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Ballmann

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:25.514758Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.100540Z digest=sha256:9174537f0e1dec36716a59934cf265bbf363e9c02486e8b2b3bdd31708b62c25

Observation 0cbadccc-d210-42d6-a7a1-a49ca6fb1789 · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:53:25.356450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.194307Z digest=sha256:a875221382ab95c88fbed75c1a07b4cba4fd5d4139ce78ddd8e2a4ee8facdfa0

Observation 1da8e039-c30d-4400-9ffe-bc13823f528e · outbound

This paper cites Brendle and M.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Brendle and M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:25.207816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.284260Z digest=sha256:5d5ed52e7cb2be1a6d78e800b25936536c54d217fb57f49ed27c83c72949f96f

Observation 645e6b99-4141-4d29-b228-3670d64e1b40 · outbound

This paper cites Brendle and G.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Brendle and G

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:24.979698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.374584Z digest=sha256:688647a3f15eef1adb60776e1c5c7e5c984a8ce43529a897eb1c1cd3062e26fa

Observation 18fb7b7e-d00d-45aa-a1dd-a7bdc9479221 · outbound

This paper cites Cabr´ e.Elliptic PDEs in probability and geometry: symmetry and regularity of solutions , Discrete Contin.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Cabr´ e.Elliptic PDEs in probability and geometry: symmetry and regularity of solutions , Discrete Contin

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:24.835589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.490058Z digest=sha256:713808daac9cfbcd7c5e5a15d5f15ce406b9bb60e333c2b1af53cad4b3335534

Observation 9a95e05b-1369-4bd6-8151-3d362e78f4cf · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:53:24.677821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.568444Z digest=sha256:811708b0a0afd8a6865bfd72a4696d3693ec89e60d4f77cf061904de9ad5407f

Observation 21f0ac0a-bf63-45ee-86e9-41d1466a6a6f · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:53:24.498570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.665769Z digest=sha256:1cfb087db341b24ecf06f752068444a11835c6807dd0f34aa963057af3b7f9f9

Observation b0042ede-3398-418e-acb0-16157b91fb89 · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:53:24.360804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.788685Z digest=sha256:5231e5ac68318399b4a7ea5eb541bf5f97a7b7ad9b0ff7ba74cda6a8b2f89dd6

Observation 9cdb2b8a-1303-4e19-89d3-3abc7d204bea · outbound

This paper cites Guijarro and F.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Guijarro and F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:24.195291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.877887Z digest=sha256:631b4fa506e2c4c5c38ffaca3280327767e7a9a7c6778cfd92a5d44623f0428c

Observation 97ded717-5c69-4487-9809-5fa7ffa3d25a · outbound

This paper cites Heintze and H.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Heintze and H

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:24.000358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:21.956541Z digest=sha256:e8047fd11fc54063924095e186c1a3d2007c3e515f9e6f712ee61ea5afddb6d3

Observation 60acec57-c359-40d7-bf15-e7014f5ad6ae · outbound

This paper cites Ketterer and A.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Ketterer and A

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:23.848375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:22.066871Z digest=sha256:36be0495fd199dce040af2db81bba792a810d8d4adb7949f0e3eaefa150f1cc0

Observation 376705ec-449f-44b2-ac23-3a3d4511a37a · outbound

This paper cites Mouill´ e.Intermediate Ricci Curvature , https://sites.google.com/site/lgmouille/research/ intermediate-ricci-curvature.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Mouill´ e.Intermediate Ricci Curvature , https://sites.google.com/site/lgmouille/research/ intermediate-ricci-curvature

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:23.677183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:22.152336Z digest=sha256:e8719c478200820e823c5dce5de35d5e8d320cae9ae47ef63aaf084a93a4c160

Observation fbb4e9f8-ce08-4c8d-9e03-9979f4168a36 · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:53:23.491749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:22.239983Z digest=sha256:3bd135ed3290eead7f43cc1239fd02219c1daa3d44ac580addda8bafe1dd8a21

Observation 7a7b2a7d-8f49-401b-8963-07cfb652c345 · outbound

This paper cites Shen and G.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Shen and G

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:23.311566Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:22.323593Z digest=sha256:8828f7dae2a010dc5986fa67d49c58f3c4a02d25105da2c685710e05e079a689

Observation 5fb4c30c-1aea-47f2-9ddd-8d605b8723e6 · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:53:23.149193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:22.428587Z digest=sha256:32c00ec59d79b1b4d6a05e24586bd8ece297a93ad5f77f019a4211a014057eb7

Observation b58bc37d-8aaf-4606-b21f-035752591df0 · outbound

This paper cites Al. I. Cuza.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Al. I. Cuza

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T18:53:23.003160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:22.514309Z digest=sha256:f94e7185bf3f0323e6effb45fc8c3595bd430c463437ebfab73f6e0cb5e2f568

Observation 52caa8c6-f21f-47a5-959b-5e2f60c924dc · outbound

This paper cites an unresolved cited work.

Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T18:53:22.840652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T18:53:22.616832Z digest=sha256:f597392900d79bc9d8d609628513dc876e3f9dbf02e9313308faa15cb1dfe9a4

Pith citing papers

Observation a86893de-87da-4e58-a069-6508542c8ce3 · inbound

A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds cites this paper.

A Willmore-type inequality for hypersurfaces with asymptotic or integral Ricci curvature bounds Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T16:55:37.347001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:55:37.347001Z digest=sha256:2023846d105c3c0133bf65bd188435842adaa03194aa900effc3ccde18bab857

Observation de55890e-675a-4dc6-9369-0db654b7edfc · inbound

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature cites this paper.

Fenchel-Willmore-Chen inequality under lower bounds on weighted intermediate Ricci curvature Fenchel-Willmore inequality for submanifolds in manifolds with non-negative $k$-Ricci curvature

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:22:32.361731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T15:22:32.067289Z digest=sha256:70ebe17a9a495e103ef1610fa29a4d9c9264d7ae0f64a1e45ce71dbdbf9b049f