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Paper Citation Record · LEDGER

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

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:20.848970Z digest=sha256:646503b31e045586317aba0d5dd81293f83f3a0e2198c6ecae8e3c8238e9be6a

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

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:20.922950Z digest=sha256:09adabd63e3de589b37c19f650f9c396a3278b8e5a2e0cb9263ec3072b93c628

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.021641Z digest=sha256:b62f82ab01e486b53263d49dda134fab2136eb2e63798976f231453e91a5e750

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.100540Z digest=sha256:68af94d9331b37a661aaf72ee405bbb904c848ee10bc7801e77da73d61f58e26

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.194307Z digest=sha256:001a0d988bda665e68909450017ded4b758ddeb76a4766778e5211f9348afcc1

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

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.284260Z digest=sha256:284f9425ef661e3456d86e5fa273a824fa4f763b39d69f7387d80d82311d8016

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.374584Z digest=sha256:3b01a1b473f33c718a137af2d3453c5514912560f63b46ea7c9aad14071f3320

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.490058Z digest=sha256:c13be005d0bf03c9049aab9a236e52f965967ee9eb235a2c2ae29a3ecd051d92

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

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.568444Z digest=sha256:d328ac648cd0d222f879358b1bc5168d3a5acc45db20d43431671fc2d817f5b8

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.665769Z digest=sha256:01f18fc689c4091b930613c8864d1c35a2c9c533c7e13006e08365e9ad2cd145

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.788685Z digest=sha256:d6b32a133a5b5858e9e4444f1fa360f97f536dacdfac1272a1108eafa65f8fdc

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.877887Z digest=sha256:2e6ba248ecfedf30d580072221fc9c4b2c0d944c56fc646f4b469f56a8576ff4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:21.956541Z digest=sha256:cba099c0ffc5c552aa29987baa2e45bad77617b5cc3e558a6e5667d16409b87e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:22.066871Z digest=sha256:6bcf9bb6448e669265a3a4bb9fd54d57b80c7b5154a257d426e997b7a7e4acf7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:22.152336Z digest=sha256:c3ab70e60d75caa616c1bdfeadc886f9048430384b2b1e71bad1efee9d0f5f53

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:22.239983Z digest=sha256:6c6c5979ee5a8a4568fb2c03b6a1a7b347cfdda446f6489116b9f017c1e3542e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:22.323593Z digest=sha256:c4b08be18d8ae773d54421cdf58f3c622867ed469917767cb27ec79567fa4243

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:22.428587Z digest=sha256:a7093f8bc23a906610dfd3d08b1b6711c920f4c32ed8e214113d2b565b1e3934

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:22.514309Z digest=sha256:a3cd736ec3edf52b686180274984de934b3729baeb84f8c2163c86832dafd1e8

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T18:53:22.616832Z digest=sha256:4592bdda2e78f371d68acf617a31738867c6a1294ca1cf146c2c1a758d4edf0c

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

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-15T15:22:32.067289Z digest=sha256:cb0bfb342c361fd72f9f33ab779afeeedfd2f9b0824fc3e446ba7bd494692d1f