Paper Citation Record · LEDGER

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds

As of 16 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2504.20585.

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

pith.paper-citation-record.v1
2504.20585 v1

Coverage vector

measured 28 of 28 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T05:39:28.882950Z

measured 28 of 28 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

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Pith citing papers itemized under the disclosed page cap.

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Reference resolution

28 of 28 outbound references displayed

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Outbound references

Observation d479243f-90c0-46c5-bea3-f32f06a1c6d1 · outbound

This paper cites Improved regularity for minimizing capillary hypersurfaces.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Improved regularity for minimizing capillary hypersurfaces

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.232397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 637e8f01-2401-4bdd-9c91-62ac4e26dc40 · outbound

This paper cites Stable anisotropic minimal hypersurfaces in R ^4.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Stable anisotropic minimal hypersurfaces in R ^4

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.222814Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ee16a38e-6173-493d-b66d-ad1498500977 · outbound

This paper cites Generalized soap bubbles and the topology of manifolds with positive scalar curvature.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Generalized soap bubbles and the topology of manifolds with positive scalar curvature

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T05:39:28.793987Z

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Unavailable: canonical work link unavailable.

Observation 04696828-45f2-4b10-9aef-8056cb3a2514 · outbound

This paper cites Stable minimal hypersurfaces in R ^4.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Stable minimal hypersurfaces in R ^4

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.206938Z

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Observation 032edd32-e2d6-4e77-8627-fb6c78e883b7 · outbound

This paper cites Complete stable minimal hypersurfaces in positively curved 4-manifolds.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Complete stable minimal hypersurfaces in positively curved 4-manifolds

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.197860Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ea052bf3-bbd2-4037-b4ae-b6fb2ec78a50 · outbound

This paper cites The structure of stable minimal hypersurfaces in ^ n+1.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds The structure of stable minimal hypersurfaces in ^ n+1

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.187341Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cd9246b1-2f38-4561-830f-3ff3a46b9fc5 · outbound

This paper cites Dihedral rigidity in hyperbolic 3-space.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Dihedral rigidity in hyperbolic 3-space

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.177582Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 291c9ef9-cc7b-4698-ba97-e3a5f377f5cd · outbound

This paper cites The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.168125Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f284433a-a0fe-4b06-bc30-e1b64d4c270a · outbound

This paper cites Contributions to the theory of free boundary minimal surfaces.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Contributions to the theory of free boundary minimal surfaces

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:39:29.009575Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0237d399-43ba-488d-bcc5-5f49dc56957c · outbound

This paper cites Blaine Lawson, Jr.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Blaine Lawson, Jr

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.158187Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d4eb0591-842a-445e-a567-7148a8020990 · outbound

This paper cites an unresolved cited work.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:39:29.148601Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aaea96ea-9849-4b16-a242-2a983471d789 · outbound

This paper cites Metric Inequalities with Scalar Curvature.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Metric Inequalities with Scalar Curvature

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.137500Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ca7cbdb9-2f6e-4a12-9931-e2da291808e2 · outbound

This paper cites Scalar curvature of manifolds with boundaries: Natural questions and artificial constructions, 2019.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Scalar curvature of manifolds with boundaries: Natural questions and artificial constructions, 2019

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.126314Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4804efe8-742c-45f2-a889-6e2c7ea94f9f · outbound

This paper cites Scalar curvature comparison and rigidity of $3$-dimensional weakly convex domains.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Scalar curvature comparison and rigidity of $3$-dimensional weakly convex domains

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T05:39:28.832533Z

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Unavailable: canonical work link unavailable.

Observation 1eded0cc-da70-43d0-8ee0-126ac0c9e276 · outbound

This paper cites Lectures on harmonic functions.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Lectures on harmonic functions

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.115832Z

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Observation cef66c85-9c44-445b-bcf9-91cf859d3213 · outbound

This paper cites A polyhedron comparison theorem for 3-manifolds with positive scalar curvature.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds A polyhedron comparison theorem for 3-manifolds with positive scalar curvature

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.105280Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c1428cf9-4ba2-4703-b8ef-d09a92d6447c · outbound

This paper cites Regularity of free boundaries in anisotropic capillarity problems and the validity of young’s law.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Regularity of free boundaries in anisotropic capillarity problems and the validity of young’s law

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.094987Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3462becf-3085-42cd-bc97-0af9c3518c56 · outbound

This paper cites On stability of capillary surfaces in a ball.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds On stability of capillary surfaces in a ball

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.084812Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 602139d8-1f86-4897-952a-f77a80f5e360 · outbound

This paper cites Minimal varieties in riemannian manifolds.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Minimal varieties in riemannian manifolds

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T05:39:28.850638Z

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Unavailable: canonical work link unavailable.

Observation c3547152-f6ad-48ba-a1a8-09e11e66771f · outbound

This paper cites Schoen and Shing Tung Yau.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Schoen and Shing Tung Yau

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T05:39:28.854169Z

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Observation 976571d4-2825-4462-b2df-daf2512c441a · outbound

This paper cites On the structure of manifolds with positive scalar curvature.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds On the structure of manifolds with positive scalar curvature

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.061646Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 46f73c5d-1765-4412-99e0-cbc0c2029cc6 · outbound

This paper cites On the proof of the positive mass conjecture in general relativity.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds On the proof of the positive mass conjecture in general relativity

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T05:39:28.862250Z

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Unavailable: canonical work link unavailable.

Observation e7fe8a85-51e0-483e-ad01-2b9197bad201 · outbound

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Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:39:29.044312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2dfa6f05-c7b0-420a-9522-f88151e048a2 · outbound

This paper cites Free boundary stable minimal hypersurfaces in positively curved 4-manifolds.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Free boundary stable minimal hypersurfaces in positively curved 4-manifolds

Reference 24

Resolution: verified exact; raw_fallback, observed 2026-08-16T05:39:28.981986Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation aac03b96-5838-4671-8cf1-ddc60673e077 · outbound

This paper cites Capillary Surfaces in Manifolds with Nonnegative Scalar Curvature and Strictly Mean Convex Boundary.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Capillary Surfaces in Manifolds with Nonnegative Scalar Curvature and Strictly Mean Convex Boundary

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T05:39:28.872509Z

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Unavailable: canonical work link unavailable.

Observation ce374a25-2287-43f0-aa4b-41d1b4904ef9 · outbound

This paper cites On the multiplicity one conjecture in min-max theory.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds On the multiplicity one conjecture in min-max theory

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T05:39:28.876268Z

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Unavailable: canonical work link unavailable.

Observation fa61ffa3-de0a-45f3-b0f5-82085dfe92e8 · outbound

This paper cites Width estimate and doubly warped product.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Width estimate and doubly warped product

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-16T05:39:28.879574Z

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Unavailable: canonical work link unavailable.

Observation 6d2e64ac-bb4a-4649-a994-bbef6ca34736 · outbound

This paper cites Rigidity results for complete manifolds with nonnegative scalar curvature.

Rigidity of Complete Free Boundary Minimal Hypersurfaces in Convex NNSC Manifolds Rigidity results for complete manifolds with nonnegative scalar curvature

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:39:29.020155Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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