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Paper Citation Record · LEDGER

Eigenvalue problems and free boundary minimal surfaces in spherical caps

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2307.13556.

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

pith.paper-citation-record.v1
2307.13556 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:21:14.636668Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T21:35:04.600121Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 81f659cc-9f9c-4baa-a0f8-6a247e137085 · inbound

Existence of metrics maximizing the first Laplace eigenvalue on closed surfaces cites this paper.

Existence of metrics maximizing the first Laplace eigenvalue on closed surfaces Eigenvalue problems and free boundary minimal surfaces in spherical caps

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-15T23:21:14.636668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T23:21:14.636668Z digest=sha256:865963bb98f94b2f6fce8922199451e628554aee98a22c7de81a4f9ba2bfff15

Observation 717df240-7ee3-4fe8-a421-d74dcc914b4b · inbound

Free boundary minimal M\"obius band in spherical caps cites this paper.

Free boundary minimal M\"obius band in spherical caps Eigenvalue problems and free boundary minimal surfaces in spherical caps

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T12:08:35.406731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T12:08:35.406731Z digest=sha256:e4198916a02df277bdc9236bd471b58a368ebc0bd792eb7b8eaeb9a893f0d059

Observation 5ab11453-f660-4646-9a83-1950c1c38a3d · inbound

Spectral properties of the Dirichlet-to-Neumann map for the Helmholtz equation cites this paper.

Spectral properties of the Dirichlet-to-Neumann map for the Helmholtz equation Eigenvalue problems and free boundary minimal surfaces in spherical caps

Reference 164

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:56:03.067680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-05-10T16:23:31.282979Z digest=sha256:9a9cfe12f56fd83f1e89c83d576c94e7efc6a6fea97333a8a734646fbba44be2

Observation 4fd8cab2-07d5-4b4a-a158-f022cbf3a3ed · inbound

Robin nullity in mode $|k|=1$ and asymptotic radius of the critical spherical catenoid cites this paper.

Robin nullity in mode $|k|=1$ and asymptotic radius of the critical spherical catenoid Eigenvalue problems and free boundary minimal surfaces in spherical caps

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-13T02:22:06.207280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-13T02:21:55.149783Z digest=sha256:5c7f461ace288d369af8b7b1719b2200122f2e80bea2b1a3f7b9584219d413e4

Observation a2d4b7ae-23f3-4e20-93d3-021164e694e8 · inbound

Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $\mathbb{H}^3$ cites this paper.

Analytic local resolution of Medvedev's Morse index conjecture for the critical spherical catenoid in $\mathbb{H}^3$ Eigenvalue problems and free boundary minimal surfaces in spherical caps

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-06-30T21:35:04.601550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-30T21:30:34.080869Z digest=sha256:9b8e2f4d891cb52501fa84d429e929e01ff2ccae58c40fd9805f505f809131ab

Observation 5979503f-b67e-4710-9247-5c611a480d14 · inbound

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere cites this paper.

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere Eigenvalue problems and free boundary minimal surfaces in spherical caps

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-30T19:52:49.518334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-30T19:52:49.518334Z digest=sha256:b87f2aa024a6fca7f79d29f2999db20522e3181d1af0d932ac849504624a096a

Observation 48c23632-12d6-4e44-b073-3599b03f9ced · inbound

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere cites this paper.

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere Eigenvalue problems and free boundary minimal surfaces in spherical caps

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-31T23:45:03.097859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T23:45:03.097859Z digest=sha256:a65be1434c83e0fc5696f2dcfeb7c055044b9c001f171fa669747a966541a66e

Observation 4e3c47a3-1772-468a-9bd8-4f824503e729 · inbound

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere cites this paper.

A degenerate free boundary minimal annulus and non-uniqueness in spherical caps beyond the hemisphere Eigenvalue problems and free boundary minimal surfaces in spherical caps

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T04:09:23.521481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T04:09:23.521481Z digest=sha256:e0c15f22d6283725b969fd4d0444e788ed19aee348547ff2ac5bfe9ba883cd37