Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-21T17:31:23.089469Z
Paper Citation Record · LEDGER
The capillary Christoffel-Minkowski problem
As of 18 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2512.16655.
A citation records a reference. It does not transfer a finding from one paper to another.
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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
47 of 47 outbound references displayed
- verified exact4
- verified fuzzy41
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d060b95c-587d-48e2-bc19-c651733c1567 · outbound
This paper cites Uniqueness theorems for surfaces in the large. I.
The capillary Christoffel-Minkowski problem Uniqueness theorems for surfaces in the large. I
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.979993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f2bdce74-0568-4a7b-accb-ae9cc7ba9386 · outbound
This paper cites Andrews, B.
The capillary Christoffel-Minkowski problem Andrews, B
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.982153Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ab5b84ec-730b-4dcf-afbe-9b42440de2ab · outbound
This paper cites Corps convexes et potentiels sphériques.
The capillary Christoffel-Minkowski problem Corps convexes et potentiels sphériques
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.984581Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8fc8f0bb-8d1f-46f2-b477-c62627531001 · outbound
This paper cites Christoffel-Minkowski flows.
The capillary Christoffel-Minkowski problem Christoffel-Minkowski flows
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.973322Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 24cfaf1d-b919-4e19-bfde-6f3fef103742 · outbound
This paper cites On the regularity of the solution of then-dimensional Minkowski problem.
The capillary Christoffel-Minkowski problem On the regularity of the solution of then-dimensional Minkowski problem
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.988924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 967f93c9-62f8-41cc-9545-4b19cb7ff025 · outbound
This paper cites Integral formulas for hypersurfaces in Euclidean space and their ap- plications to uniqueness theorems.
The capillary Christoffel-Minkowski problem Integral formulas for hypersurfaces in Euclidean space and their ap- plications to uniqueness theorems
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.971166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cc7e9620-0ec3-4714-beaa-439989dec221 · outbound
This paper cites AlogarithmicGausscurvatureflowandtheMinkowski problem.
The capillary Christoffel-Minkowski problem AlogarithmicGausscurvatureflowandtheMinkowski problem
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.971507Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6c8237e9-df6a-45ff-982e-5e799a8cf8bf · outbound
This paper cites Ueber die Bestimmung der Gestalt einer krummen Oberfläche durchlokaleMessungenaufderselben.
The capillary Christoffel-Minkowski problem Ueber die Bestimmung der Gestalt einer krummen Oberfläche durchlokaleMessungenaufderselben
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.976012Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a2d2f541-be56-408f-9d68-d5c72969189b · outbound
This paper cites Finn.Equilibrium capillary surfaces.
The capillary Christoffel-Minkowski problem Finn.Equilibrium capillary surfaces
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.968982Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 86b1e800-6c6e-4d7c-a771-0d9540ad648d · outbound
This paper cites The determination of convex bodies from their mean radius of curva- ture functions.
The capillary Christoffel-Minkowski problem The determination of convex bodies from their mean radius of curva- ture functions
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.966795Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c4f4c438-9d4e-4067-a9e7-2096e64329f6 · outbound
This paper cites Christoffel’s problem for general convex bodies.
The capillary Christoffel-Minkowski problem Christoffel’s problem for general convex bodies
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.978033Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7b81797d-4990-4b44-8056-3befb3d18fc9 · outbound
This paper cites Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary.
The capillary Christoffel-Minkowski problem Compactness of the space of embedded minimal surfaces with free boundary in three-manifolds with nonnegative Ricci curvature and convex boundary
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.962216Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c2b91dd5-8b78-4d29-9533-6fc0501ee4b4 · outbound
This paper cites Sharp eigenvalue bounds and minimal surfaces in the ball.
The capillary Christoffel-Minkowski problem Sharp eigenvalue bounds and minimal surfaces in the ball
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.959838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 16751247-a6d1-429e-883b-9af07b0a4003 · outbound
This paper cites The Dirichlet problem for Hessian equations on Riemannian manifolds.
The capillary Christoffel-Minkowski problem The Dirichlet problem for Hessian equations on Riemannian manifolds
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.956966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3370962a-6322-4d9f-8789-58a1143d7336 · outbound
This paper cites Topics in geometric fully nonlinear equations.
The capillary Christoffel-Minkowski problem Topics in geometric fully nonlinear equations
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.954008Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 719b5cfc-49e0-4b7f-bd78-4db76ccc762b · outbound
This paper cites The Christoffel-Minkowski problem. I. Convexity of solu- tions of a Hessian equation.
The capillary Christoffel-Minkowski problem The Christoffel-Minkowski problem. I. Convexity of solu- tions of a Hessian equation
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.951986Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6ca55065-6678-49a8-8203-f5c282bd4f9c · outbound
This paper cites A form of Alexandrov-Fenchel inequality.
The capillary Christoffel-Minkowski problem A form of Alexandrov-Fenchel inequality
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.949857Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3cf92527-cd92-48f9-9d2c-d2aa5c183e0c · outbound
This paper cites The Christofel-Minkowski problem. III. Existence and convexity of admissible solutions.
The capillary Christoffel-Minkowski problem The Christofel-Minkowski problem. III. Existence and convexity of admissible solutions
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.949659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6dbc32e3-0087-43cd-b13c-c97be1450dfb · outbound
This paper cites Grundzüge einer allgemeinen Theorie der linearen Integralgleichun- gen.
The capillary Christoffel-Minkowski problem Grundzüge einer allgemeinen Theorie der linearen Integralgleichun- gen
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.985072Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f4af573a-0add-43a6-893c-71ec3221efdd · outbound
This paper cites Sur quelques applications géométriques des séries de Fourier.
The capillary Christoffel-Minkowski problem Sur quelques applications géométriques des séries de Fourier
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.926334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation da8ca036-c111-40fa-a845-0135490b677b · outbound
This paper cites Heintze-Karcher inequality and capillary hypersurfaces in a wedge.
The capillary Christoffel-Minkowski problem Heintze-Karcher inequality and capillary hypersurfaces in a wedge
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T17:34:17.411381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6d2ccf94-c2a2-48a1-9fcc-8e04717b84c0 · outbound
This paper cites On differential geometry in the large. I. Minkowski’s problem.
The capillary Christoffel-Minkowski problem On differential geometry in the large. I. Minkowski’s problem
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.910724Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ff7cd39d-ed37-43b7-aeab-6d4297b4ff48 · outbound
This paper cites The Christoffel problem by the fundamental solution of the Laplace equation.
The capillary Christoffel-Minkowski problem The Christoffel problem by the fundamental solution of the Laplace equation
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.957365Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3c921252-ff82-443e-9fcf-3ad3bd120944 · outbound
This paper cites an unresolved cited work.
The capillary Christoffel-Minkowski problem Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T17:35:25.921184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6b3cdb2f-d95c-4a69-afa9-f523d1c0e204 · outbound
This paper cites Nonlinear oblique boundary value problems for nonlinear elliptic equations.
The capillary Christoffel-Minkowski problem Nonlinear oblique boundary value problems for nonlinear elliptic equations
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.982558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 09ee95d1-8c28-48b2-a2c2-cc87125b6408 · outbound
This paper cites The Neumann problem for equa- tions of Monge-Ampère type.
The capillary Christoffel-Minkowski problem The Neumann problem for equa- tions of Monge-Ampère type
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.933848Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0659c740-3a3a-4b07-8ce5-9adbc04bfb42 · outbound
This paper cites The Neumann problem for Hessian equations.
The capillary Christoffel-Minkowski problem The Neumann problem for Hessian equations
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.979935Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cf77b850-bd88-41ec-bf9a-0a4817a20e94 · outbound
This paper cites Maggi.Sets of finite perimeter and geometric variational problems.
The capillary Christoffel-Minkowski problem Maggi.Sets of finite perimeter and geometric variational problems
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.937591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation beeaecba-c957-4cd6-89be-ae0776704eef · outbound
This paper cites Convex capillary hypersurfaces of prescribed curvature problem.
The capillary Christoffel-Minkowski problem Convex capillary hypersurfaces of prescribed curvature problem
Reference 29
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T17:34:17.407930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 8330bf9f-fc61-4656-8660-4032db0e0082 · outbound
This paper cites The capillary $L_p$-Minkowski problem.
The capillary Christoffel-Minkowski problem The capillary $L_p$-Minkowski problem
Reference 30
- Resolution
- verified exact
- arxiv_id, observed 2026-06-23T04:13:38.532621Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ff7b618a-e6f2-4800-b9c7-5363e4d72796 · outbound
This paper cites The capillary Gauss curvature flow.
The capillary Christoffel-Minkowski problem The capillary Gauss curvature flow
Reference 31
- Resolution
- verified exact
- arxiv_id, observed 2026-05-21T17:34:17.418691Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2cf2e072-d6c8-4f38-bb38-821e7ddcb2be · outbound
This paper cites The capillary Minkowski problem.
The capillary Christoffel-Minkowski problem The capillary Minkowski problem
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.951943Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fb092aee-c91b-466d-b00e-6a630229ec7f · outbound
This paper cites Alexandrov-Fenchel inequalities for con- vex hypersurfaces in the half-space with capillary boundary II.
The capillary Christoffel-Minkowski problem Alexandrov-Fenchel inequalities for con- vex hypersurfaces in the half-space with capillary boundary II
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.917712Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 57935dd3-b025-4fb2-86df-f056f6fd558b · outbound
This paper cites Allgemeine Lehrsätze über die konvexen Polyeder.
The capillary Christoffel-Minkowski problem Allgemeine Lehrsätze über die konvexen Polyeder
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:34:17.986766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e58b673e-9eb7-4e5c-bd59-611eb2554832 · outbound
This paper cites The Weyl and Minkowski problems in differential geometry in the large.
The capillary Christoffel-Minkowski problem The Weyl and Minkowski problems in differential geometry in the large
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.975355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fb6f076d-dec3-4368-93c5-e843b3594ea5 · outbound
This paper cites Regularity of a convex surface with given Gaussian curvature.
The capillary Christoffel-Minkowski problem Regularity of a convex surface with given Gaussian curvature
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.970587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bfa537d9-b193-4d90-b67a-354c735b1637 · outbound
This paper cites an unresolved cited work.
The capillary Christoffel-Minkowski problem Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T17:35:25.968124Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ba6ae91a-578c-43db-a53e-7c9a7174f1f7 · outbound
This paper cites Alexandrov-Fenchel inequalities for convex hy- persurfaces with free boundary in a ball.
The capillary Christoffel-Minkowski problem Alexandrov-Fenchel inequalities for convex hy- persurfaces with free boundary in a ball
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.954523Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 511746ff-11f3-430e-bb6a-e1a75503fa92 · outbound
This paper cites Schneider.Convex bodies: the Brunn-Minkowski theory.
The capillary Christoffel-Minkowski problem Schneider.Convex bodies: the Brunn-Minkowski theory
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.914405Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cdafb360-61f5-4e48-b629-1044518641a1 · outbound
This paper cites Convex hypersurfaces of prescribed Weingarten curvatures.
The capillary Christoffel-Minkowski problem Convex hypersurfaces of prescribed Weingarten curvatures
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.987175Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 51fc6aa4-6f9f-488a-bdd5-0d6f3b607664 · outbound
This paper cites Geometric aspects of the theory of fully nonlinear elliptic equations.
The capillary Christoffel-Minkowski problem Geometric aspects of the theory of fully nonlinear elliptic equations
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.946670Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c38805f9-c8f7-4a32-a6c3-2a95776e69fb · outbound
This paper cites Bestimmung einer geschlossenen konvexen Fläche durch die Summe ihrer Hauptkrümmungsradien.
The capillary Christoffel-Minkowski problem Bestimmung einer geschlossenen konvexen Fläche durch die Summe ihrer Hauptkrümmungsradien
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.960472Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2524d925-ccc5-45e8-af41-7fd0c7b60465 · outbound
This paper cites A mean curvature type flow with capillary boundary in a unit ball.
The capillary Christoffel-Minkowski problem A mean curvature type flow with capillary boundary in a unit ball
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.943576Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3040c0c0-1917-499e-bc1b-e90a86e2350f · outbound
This paper cites Alexandrov-Fenchel inequalities for convex hyper- surfaces in the half-space with capillary boundary.
The capillary Christoffel-Minkowski problem Alexandrov-Fenchel inequalities for convex hyper- surfaces in the half-space with capillary boundary
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.965657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1c390501-9b75-4ae0-8b9f-b347b43f507e · outbound
This paper cites Uniqueness of stable capillary hypersurfaces in a ball.
The capillary Christoffel-Minkowski problem Uniqueness of stable capillary hypersurfaces in a ball
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.977620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e2da9eea-e441-4236-9667-e29aff384205 · outbound
This paper cites Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball.
The capillary Christoffel-Minkowski problem Alexandrov-Fenchel inequality for convex hypersurfaces with capillary boundary in a ball
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.963093Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0f52309a-0025-4df4-bbf3-b8615de78193 · outbound
This paper cites On an anisotropic Minkowski problem.
The capillary Christoffel-Minkowski problem On an anisotropic Minkowski problem
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T17:35:25.972762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.