Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:39:13.862874Z
Paper Citation Record · LEDGER
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$
As of 18 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.05141.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
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
35 of 35 outbound references displayed
- verified exact1
- verified fuzzy31
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation dcbf2dc2-06bb-4bea-b6aa-1b84580cb96d · outbound
This paper cites The spherical two-piece property and tig ht surfaces in spheres.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ The spherical two-piece property and tig ht surfaces in spheres
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:21.576119Z
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 e490116b-e11c-48b7-8fdf-717d60b5052c · outbound
This paper cites A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from R2 to S2.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ A quantitative description of skyrmions in ultrathin ferromagnetic films and rigidity of degree ±1 harmonic maps from R2 to S2
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:21.434638Z
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 88372340-4b11-4fc0-bf13-ff11a1cc5b30 · outbound
This paper cites an unresolved cited work.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:21.320853Z
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 3d75fe31-2514-4b4f-af5f-827b58e5c2cf · outbound
This paper cites Cecil and Shiing-shen Chern, eds.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Cecil and Shiing-shen Chern, eds
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:21.225524Z
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 6a74a2ef-4a76-4d12-b24f-e1eaa7c01bff · outbound
This paper cites On the number of top-cyc les of a tight surface in 3-space.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ On the number of top-cyc les of a tight surface in 3-space
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:21.088718Z
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 83dcfbf0-761b-4e1c-bbaf-1278902d902e · outbound
This paper cites Minimal surfaces in an Euclidean space of N dimensions.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Minimal surfaces in an Euclidean space of N dimensions
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:20.959586Z
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 879886b6-7dbb-4d5c-aac1-2e63b760f95c · outbound
This paper cites On the total curvat ure of immersed manifolds.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ On the total curvat ure of immersed manifolds
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:20.802681Z
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 78cfe0a0-b77e-4a09-9707-c037f4f2f083 · outbound
This paper cites On the total curvat ure of immersed manifolds. II.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ On the total curvat ure of immersed manifolds. II
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:20.703449Z
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 ce7bea54-ca7a-4c0a-88dc-4ba99713ccb5 · outbound
This paper cites Optimal rigidity estimates for ne arly umbilical surfaces.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Optimal rigidity estimates for ne arly umbilical surfaces
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:20.513437Z
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 5acea920-121e-4111-a76c-aa35e386dcdd · outbound
This paper cites Sharp stability inequalities for the Plat eau problem.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Sharp stability inequalities for the Plat eau problem
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:20.286481Z
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 d3b1f2ef-1035-400b-b277-022683c9b2c1 · outbound
This paper cites Lagrangian isotopy of tori in S2 ×S2 and CP 2.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Lagrangian isotopy of tori in S2 ×S2 and CP 2
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:20.120334Z
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 40fabd7c-ffc2-432c-a879-6ae96f97f537 · outbound
This paper cites Curvature measures.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Curvature measures
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:19.910968Z
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 8f81719d-4ae0-4b1c-9f33-19c00360a58b · outbound
This paper cites ¨Uber Kr¨ ummung und Windung geschlossener Raumkurven.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ ¨Uber Kr¨ ummung und Windung geschlossener Raumkurven
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:19.689831Z
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 028e991d-00b5-41dc-b058-8a386d8896c8 · outbound
This paper cites A mass transportation appro ach to quantitative isoperimetric inequalities.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ A mass transportation appro ach to quantitative isoperimetric inequalities
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:19.490634Z
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 46f58813-e49c-4a70-8de9-aca687b41f2e · outbound
This paper cites The sharp quantitative isop erimetric inequality.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ The sharp quantitative isop erimetric inequality
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:19.268071Z
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 311220ff-0ab8-4893-b475-7c6a5a20c359 · outbound
This paper cites Lagrangian spheres in S2 ×S2.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Lagrangian spheres in S2 ×S2
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:19.049379Z
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 12fa90aa-8f4a-423b-9e3f-2634ed6328ee · outbound
This paper cites Quantitative minimality of strictly stable extremal sub- manifolds in a flat neighbourhood.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Quantitative minimality of strictly stable extremal sub- manifolds in a flat neighbourhood
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:18.811430Z
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 6272491e-b10d-47e3-94a8-b3572a5983c9 · outbound
This paper cites Integral geo metry and Hamiltonian volume min- imizing property of a totally geodesic Lagrangian torus in S2 ×S2.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Integral geo metry and Hamiltonian volume min- imizing property of a totally geodesic Lagrangian torus in S2 ×S2
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:18.559156Z
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 5a9bedfb-d84e-446f-8727-67b3008dfb2e · outbound
This paper cites Minimal total absolute curvature for immer sions.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Minimal total absolute curvature for immer sions
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:18.314167Z
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 9d75fa50-0c94-4519-be5f-1bec2669ed6c · outbound
This paper cites Optimal rigidity estim ates for nearly umbilical surfaces in arbitrary codimension.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Optimal rigidity estim ates for nearly umbilical surfaces in arbitrary codimension
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:18.050260Z
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 4f9ef5c1-82f5-4a7e-aafd-67bff765ce54 · outbound
This paper cites Rigidity estimate s for isometric and conformal maps from Sn−1 to Rn.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Rigidity estimate s for isometric and conformal maps from Sn−1 to Rn
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:17.743833Z
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 2879ff91-f85d-45e6-9b5b-edbe74336f07 · outbound
This paper cites Min-max theory and the Willmore conjecture.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Min-max theory and the Willmore conjecture
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:17.515785Z
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 e9db784d-64db-4841-a733-762f2d20af1b · outbound
This paper cites an unresolved cited work.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:39:17.248077Z
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 fbedf922-0a01-4e2e-b867-b3b36c963982 · outbound
This paper cites Generalized curvatures.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Generalized curvatures
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:16.938835Z
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 c0b66200-317a-41f4-a14a-5a0a562d153a · outbound
This paper cites Variational problems for Lagrangian and Legendrian subman ifolds.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Variational problems for Lagrangian and Legendrian subman ifolds
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:16.598445Z
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 ff9e9776-14f7-4077-a280-b2ae7af335bb · outbound
This paper cites Buckling eigenvalues, Gauss maps and Lagran gian submanifolds.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Buckling eigenvalues, Gauss maps and Lagran gian submanifolds
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:16.191129Z
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 978782b7-abec-4dd4-b892-b6389529e885 · outbound
This paper cites Hamiltonian minimality and Hamiltonian stability of G auss maps.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Hamiltonian minimality and Hamiltonian stability of G auss maps
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:15.900235Z
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 4f78e20d-93b0-423e-9511-d9a7f9c46539 · outbound
This paper cites Curvature properties of taut submanifolds.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Curvature properties of taut submanifolds
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:15.536449Z
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 e179ca9f-6509-4c33-a12c-9f9adb83d1c2 · outbound
This paper cites Curvature measures of singular sets.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Curvature measures of singular sets
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:15.206596Z
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 5c846093-464e-487c-813c-4e7a5651d3ac · outbound
This paper cites Calculus of variations.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Calculus of variations
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:15.040420Z
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 ac7e3823-34b8-4612-8b35-30e6743aa114 · outbound
This paper cites Conformally Invariant Variational Problems.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Conformally Invariant Variational Problems
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:14.836018Z
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 b7766264-51de-45f5-bcdb-941337f0f042 · outbound
This paper cites Minmax Hierarchies, Minimal Fibrations and a PDE based Proof of the Willmore Conjecture.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Minmax Hierarchies, Minimal Fibrations and a PDE based Proof of the Willmore Conjecture
Reference 32
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T10:39:14.142959Z
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 5102cd2f-f89c-4931-a6c9-c6c26e2e2cff · outbound
This paper cites The singular set of 1-1 integra l currents.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ The singular set of 1-1 integra l currents
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:14.626597Z
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 d1028bfd-579a-4aff-9587-f62e7a03366b · outbound
This paper cites Sharp quantitative rigidity results for maps from $S^2$ to $S^2$ of general degree.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Sharp quantitative rigidity results for maps from $S^2$ to $S^2$ of general degree
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:39:13.736297Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 843e7585-bca5-4dff-ad23-5a2ebd5f2027 · outbound
This paper cites Note on embedded surfaces.
Minimizing the Gauss map area of surfaces in $\mathbb{S}^3$ Note on embedded surfaces
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:39:14.423531Z
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.