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Paper Citation Record · LEDGER

Some rigidity results related to the Obata type equation

As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2411.18508.

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

pith.paper-citation-record.v1
2411.18508 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:19:36.540073Z

measured 20 of 20 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

20 of 20 outbound references displayed

  • verified exact1
  • verified fuzzy5
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 756f1f36-b747-4cc3-afc8-4956ce4cbb3c · outbound

This paper cites Rigidity on an eigenvalue problem with mixed boundary condition.

Some rigidity results related to the Obata type equation Rigidity on an eigenvalue problem with mixed boundary condition

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-12T11:19:36.580880Z

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.

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Observation f6f96ef5-948b-425e-aa6f-f805a017ccbc · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.827313Z

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=2026-08-12T11:19:36.462040Z digest=sha256:d1b0472005d75400b9a4f3f13155da5b20192f825f3f093f64d2871a995ffd2a

Observation 72afa898-e1d8-466e-9f70-260eab626939 · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.814659Z

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=2026-08-12T11:19:36.466341Z digest=sha256:61f809dc553998d4aac8031b559d6be00ec5acb37f9eeb74c49f22ad7113c851

Observation 0aa9426f-bdb0-49ee-a584-4fed58e14b98 · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.801548Z

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=2026-08-12T11:19:36.470929Z digest=sha256:e224d0781395b90df07dd60faafb95ab8262ab85b3d0fff13163fa3a9d0481c9

Observation 9ade29ba-8b8a-40dc-87bd-7189cc7f851b · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.787575Z

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=2026-08-12T11:19:36.475409Z digest=sha256:15e56ed12754d3c6976a99bb620c5b6117136ee60e5590573746bbfed0b03ca1

Observation a5e1710f-8d0f-4d05-8fe7-34bc14d61a45 · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.773652Z

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=2026-08-12T11:19:36.479667Z digest=sha256:6e79ad3713122e9c838e7342beb6281e51856ffd524a597397cb843e9d1093b1

Observation c01af695-9f7e-4152-8179-a239e61396dd · outbound

This paper cites Riemannian manifolds with compact boundary.

Some rigidity results related to the Obata type equation Riemannian manifolds with compact boundary

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:19:36.761248Z

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=2026-08-12T11:19:36.483674Z digest=sha256:4a15053e597ac08adc4fc0087d80236b64a3261d39441c12a5258b7dac0c4674

Observation 562c7816-bfdf-427b-a22e-9bee5b7715ae · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.749740Z

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=2026-08-12T11:19:36.487459Z digest=sha256:748b9359114dc32275f2c54b0b4dbff5063b8641b33787cc3d3d90b1106e99a7

Observation bfd906d0-d490-4c38-ae73-0ca833026824 · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.738382Z

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=2026-08-12T11:19:36.492133Z digest=sha256:8478b91a32e865e704b45ad90a24b2dbde2f9f865300a9fdbcf04856ca0cdda2

Observation b0935431-6fbe-4c95-9db8-c698473252e6 · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.726972Z

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=2026-08-12T11:19:36.496409Z digest=sha256:f39441b75d2e6e41e703e01c71ef5831ba27d5112199667599ac378cbed0d888

Observation 9c85115b-0609-4a55-b257-6376e0f05683 · outbound

This paper cites Lichnerowicz.

Some rigidity results related to the Obata type equation Lichnerowicz

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:19:36.715530Z

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=2026-08-12T11:19:36.501358Z digest=sha256:8b135fa32382b512b96ef52352d4f1eca302261aa5e3e0142e01fe92cb1a0902

Observation 67c50d32-22ea-4fc8-bb29-6f578e48bc55 · outbound

This paper cites Lower bound estimates of the first eigen value for boundary of compact manifolds.

Some rigidity results related to the Obata type equation Lower bound estimates of the first eigen value for boundary of compact manifolds

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:19:36.703710Z

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=2026-08-12T11:19:36.505674Z digest=sha256:1729ac7234c1311fc5ac9a38b8da54eb9fc6bd6145570cd9b37ba9fe7e6e0379

Observation c3ad1649-4735-4244-ae8a-9589b0f1be5e · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.689864Z

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=2026-08-12T11:19:36.509697Z digest=sha256:a594c09a4bbd7fe3c0ce7a9503eb0842cdcbefc9c171325dae12ba9d693003cb

Observation de58ae07-bbc7-43a0-a28b-e6c3ab8f1971 · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.677698Z

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=2026-08-12T11:19:36.513609Z digest=sha256:1d3e1e60b25f2ea50cc64b45117179be4505ab48d8857a3283fa858e1694e407

Observation a40a208d-aa39-428c-9de1-cc149495483b · outbound

This paper cites Raulot and A.

Some rigidity results related to the Obata type equation Raulot and A

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:19:36.664895Z

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=2026-08-12T11:19:36.518460Z digest=sha256:551d72eb85df01f4e00fd548751390308edb2396c267bf23067e61953ffe4697

Observation 44a4d3aa-c4d7-4844-a3a0-3a1eb3fccde6 · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.651097Z

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=2026-08-12T11:19:36.522519Z digest=sha256:42f306c783ec51d04e0a1968957df4c28a37185ed4ce1adbae36abe9162c273c

Observation 87a96363-3751-4548-be04-9b82049460d8 · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.637338Z

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=2026-08-12T11:19:36.527437Z digest=sha256:c39fdf52643876f0265036179631e2d1581770e5fb8fd5043bf1314e5563e753

Observation c1214118-85f4-40a4-8e74-828741de039b · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.622818Z

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=2026-08-12T11:19:36.531101Z digest=sha256:927eac859e08139497ea742c896e689692c34b7176b6c891a261f8356f1dca61

Observation 18c2c203-abab-43be-b791-d47baa081552 · outbound

This paper cites Xia and C.

Some rigidity results related to the Obata type equation Xia and C

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T11:19:36.609300Z

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=2026-08-12T11:19:36.536100Z digest=sha256:ec0457059e6255cb8410114ba2e74f1458f5919cc181ec7b0ff5f7d9b0ebfaa1

Observation b15e4350-bb0a-4a60-82d9-871a5be8054a · outbound

This paper cites an unresolved cited work.

Some rigidity results related to the Obata type equation Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-12T11:19:36.595777Z

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=2026-08-12T11:19:36.540073Z digest=sha256:6059448d47a6271c856550668e236d5b2cb2f373e591c098f7b4910520f75a43

Pith citing papers

No inbound Pith citation observations are available.