Paper Citation Record · LEDGER

Free boundary minimal M\"obius band in spherical caps

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.22332.

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

pith.paper-citation-record.v1
2507.22332 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T12:08:35.977196Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

16 of 16 outbound references displayed

verified exact0
verified fuzzy14
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 09d53c80-a381-4c6b-9d4c-4db357b93fcc · outbound

This paper cites Friedlander’s eigenvalue inequal- ities and the Dirichlet-to-Neumann semigroup.

Free boundary minimal M\"obius band in spherical caps Friedlander’s eigenvalue inequal- ities and the Dirichlet-to-Neumann semigroup

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:43.078388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 196977db-1ca5-4748-8964-f68ea25dca6f · outbound

This paper cites Non-existence of free boundary minimal M¨ obius bands in the unit three-ball.

Free boundary minimal M\"obius band in spherical caps Non-existence of free boundary minimal M¨ obius bands in the unit three-ball

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:42.833513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0c726a84-cc98-461e-bfbb-68906883ccba · outbound

This paper cites Some recent developments on the Steklov eigen- value problem.

Free boundary minimal M\"obius band in spherical caps Some recent developments on the Steklov eigen- value problem

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:41.481956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 44eb1a1b-69c8-4e86-81bf-5802a9c55f92 · outbound

This paper cites A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle.

Free boundary minimal M\"obius band in spherical caps A unique extremal metric for the least eigenvalue of the Laplacian on the Klein bottle

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:39.071697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c78a7527-8e16-4e58-b3df-b34ab64fbe83 · outbound

This paper cites Existence and Classification of SSS1- Invariant Free Boundary Minimal Annuli and M¨ obius Bands in BBBn.

Free boundary minimal M\"obius band in spherical caps Existence and Classification of SSS1- Invariant Free Boundary Minimal Annuli and M¨ obius Bands in BBBn

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:38.770243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b8369268-c5d6-49b3-85b3-fccf5e5b6b55 · outbound

This paper cites Sharp eigenvalue bounds and min- imal surfaces in the ball.

Free boundary minimal M\"obius band in spherical caps Sharp eigenvalue bounds and min- imal surfaces in the ball

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:38.478990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dac7560f-b00d-498b-97a5-7d63838a79b0 · outbound

This paper cites The first Steklov eigenvalue, con- formal geometry, and minimal surfaces.

Free boundary minimal M\"obius band in spherical caps The first Steklov eigenvalue, con- formal geometry, and minimal surfaces

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:38.199594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ed589f3e-9c04-446c-8fbb-ca676b98c881 · outbound

This paper cites Ex- tremal metric for the first eigenvalue on a Klein bottle.

Free boundary minimal M\"obius band in spherical caps Ex- tremal metric for the first eigenvalue on a Klein bottle

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:37.931135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e99e05a1-f04b-495c-8fda-7509ca60bc9a · outbound

This paper cites Embedded minimal surfaces in $\mathbb{S}^3$ and $\mathbb{B}^3$ via equivariant eigenvalue optimization.

Free boundary minimal M\"obius band in spherical caps Embedded minimal surfaces in $\mathbb{S}^3$ and $\mathbb{B}^3$ via equivariant eigenvalue optimization

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T12:08:35.289567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63c7f406-710a-4d9f-b434-686ea406da0b · outbound

This paper cites Free boundary minimal surfaces in the unit ball: recent advances and open questions.

Free boundary minimal M\"obius band in spherical caps Free boundary minimal surfaces in the unit ball: recent advances and open questions

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:37.707406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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

This paper cites Eigenvalue problems and free boundary minimal surfaces in spherical caps.

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.

Observation befe7145-4c72-4d94-b0b8-f92359ddc8a4 · outbound

This paper cites On free boundary minimal submanifolds in ge- odesic balls in H n and Sn +.

Free boundary minimal M\"obius band in spherical caps On free boundary minimal submanifolds in ge- odesic balls in H n and Sn +

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:37.543490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8f7d3535-456e-4426-bd60-63c6775e1646 · outbound

This paper cites Certain conditions for a Riemannian manifold to be isometric with a sphere.

Free boundary minimal M\"obius band in spherical caps Certain conditions for a Riemannian manifold to be isometric with a sphere

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:37.204666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7e4fbb23-be23-4e1a-885e-701037aa5a42 · outbound

This paper cites Maximizing Steklov eigenvalues on surfaces.

Free boundary minimal M\"obius band in spherical caps Maximizing Steklov eigenvalues on surfaces

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:36.917924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 52c299a0-b70f-44d0-9013-048ffb4afc9d · outbound

This paper cites Minimal varieties in Riemannian manifolds.

Free boundary minimal M\"obius band in spherical caps Minimal varieties in Riemannian manifolds

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:36.591562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 92d50a1a-e560-4002-b6a1-3a78e768c97a · outbound

This paper cites Minimal immersions of Riemannian manifolds.

Free boundary minimal M\"obius band in spherical caps Minimal immersions of Riemannian manifolds

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T12:08:36.277310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.