Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:00:38.203994Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2506.23359.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:00:38.203994Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:45:39.782324Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T22:45:40.635468Z
67 of 67 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d280941b-91ea-4619-85b7-e040efa6526f · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The `Holiverse': holistic eversion of the 2-sphere in $\R^3$
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 679dfc66-d10f-4d9a-9e9f-6318b811b62e · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow An algebraic halfway model for the eversion of the sphere
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 164b8fcc-f99e-4b34-9312-4b7b469a1b0d · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Analytic sphere eversion using ruled surfaces
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 353132cb-699f-42d1-b8b4-89c46afb8a33 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Existence of minimizing W illmore surfaces of prescribed genus
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bba9d0ac-81cc-4aa0-8295-e995076221f1 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Polygon Mesh Processing
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 820d45e9-d291-444d-8cdf-ae1bfe3a5c42 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow A singular example for the W illmore flow
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b9e99bfb-d18f-4624-b6b4-3fc88cdd17c5 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Energy quantization for W illmore surfaces and applications
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b255b657-1bbe-4ff7-a31c-579e1740f8e0 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Immersions with bounded second fundamental form
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 40a983da-a8bd-496d-a1e9-9b4ec8d6de10 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 83e387e6-a2e7-4134-b4a8-e39044e17b6c · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Bubble tree of branched conformal immersions and applications to the W illmore functional
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c30a9a69-5aaa-447a-bb9d-02c36e7bc697 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow do Carmo
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 13a2f884-99ce-4e33-93e8-193e6f98611d · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Dimension reduction for Willmore flows of tori: fixed conformal class and analysis of singularities
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 60bb94ed-610f-4a94-be24-636182181205 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow uller, Reiner Sch\
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f788a952-e1c1-433e-af44-4c2acf10f2f8 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Francis and Bernard Morin
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 279bb884-5843-44a2-a91e-7c4a2ce8dd38 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Sullivan, and Chris Hartman
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a5c61c0b-67ad-462b-950f-5be26da01c73 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Sullivan, Rob B
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 944664cd-5ac1-4bbe-8577-30dd4f369763 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Goryunov
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 51a66043-0693-4372-89a2-4445cac012de · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Helfrich
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dddcb71a-f8c3-4f26-b068-84b00bc017b8 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Geometry of complete minimal surfaces at infinity and the W illmore index of their inversions
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 99536947-1f4e-468f-8470-3e37bd8b1e8e · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow On the index of W illmore spheres
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0640d6ab-b406-4e83-b9fa-e1038e1d72bc · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Unresolved cited work
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e277a28b-4d5f-404c-bd52-043f534cf33b · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Sphere eversion from the viewpoint of generic homotopy
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0300ba61-a499-470f-a5c1-605f13ab9e23 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow W^ 2,2 -conformal immersions of a closed R iemann surface into R^n
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6ceffb61-8c1c-4b3f-931f-ca6c806fc63e · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The large genus limit of the infimum of the W illmore energy
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a985cc9a-94ef-4406-a3a8-5d86894e4fdd · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The area preserving W illmore flow and local maximizers of the H awking mass in asymptotically S chwarzschild manifolds
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 76bcaf90-8897-485c-954b-969aa1a519c9 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The W illmore flow with small initial energy
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f98316f7-b3b2-4c4f-a682-ab43e42f51f3 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Gradient flow for the W illmore functional
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3e58dfdc-c051-47d8-9f85-56ecc9490b46 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Removability of point singularities of W illmore surfaces
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6ae8ea75-b45d-4ddb-a613-39e175a7fcbd · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The W illmore functional
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b369d824-bf41-4767-9a1c-88d2f3e22609 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ce371b7f-c241-4975-8999-6d2e5c718a55 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Conformal geometry and complete minimal surfaces
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e67c4652-60b8-4790-afd9-a05fa75b9538 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Bubbles, conservation laws, and balanced diagrams
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 106e9e14-92c1-40ab-940d-2cbcdb84bf2c · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow A compactness theorem for surfaces with L_p -bounded second fundamental form
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e0733c88-d0f0-444b-ac19-478b822ae7c0 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Branched W illmore spheres
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 39d39ac0-b17b-405b-98b7-098d4881a8df · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow L \'o pez
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1df05cb6-430b-4559-806f-8e76174864d6 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Curves in the hyperbolic plane and mean curvature of tori in 3 -space
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2852a44f-b0f7-41c0-ab3d-8fa502e9780f · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow A new conformal invariant and its applications to the W illmore conjecture and the first eigenvalue of compact surfaces
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e0a3aa5f-50e6-4693-9d9a-023ac6fbb43a · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Closed mean curvature flows with asymptotically conical singularities
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dd532b2d-a77e-4279-b552-4128bbd8f5ae · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Explicit formulas, symmetry and symmetry breaking for W illmore surfaces of revolution
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7b0d97f3-52eb-474c-ad76-01d3f3a27c95 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Classification of branched Willmore spheres
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e02553dc-9c0f-4db0-99ab-d337c3f80fe9 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Every sphere eversion has a quadruple point
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 48590c0d-1083-4b83-9c58-40a3961d702f · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow On the M orse index of branched W illmore spheres in 3-space
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 96337a08-1bfd-4810-af8b-36a24fc2b0e3 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Li- Y au type inequality for curves in any codimension
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 68c86b26-614a-4483-8a1c-a981756f810c · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Marques and Andr\'e Neves
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation bd4c49ee-e27f-496a-8724-bcfa4a403c5f · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Marques and Andr\'e Neves
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5e3732ee-daf2-4cfe-962b-3136f458053f · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d9424de6-cbf9-4df1-a1bb-683281c56214 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Le retournement de la sphere
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f6213b88-1fca-406d-b2ec-48b79fbb5183 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Probl\'ematique du retournement de la sph\`ere
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f41f1192-258d-450d-a2c7-ec7c685b2f29 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The classification of branched W illmore spheres in the 3-sphere and the 4-sphere
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b9c5d21d-b1b2-40f5-be1f-eacf3dbcd966 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow A L i- Y au inequality for the 1-dimensional W illmore energy
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e72ea82d-5dbd-45ca-a01e-38887e619226 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Short closed geodesics and the W illmore energy, 2025
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 951558b6-700b-4e45-a30f-9c494fa8feeb · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Mayer and Gieri Simonett
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cb980b72-9268-46b4-aa2c-4344385c6fd0 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Elasticity Theory After Germain , pages 103--114
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e811c902-58c6-47b1-b6fa-b3830f0a5a47 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Riemann bilinear relations on minimal surfaces
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7ca2235a-9abd-4688-95ab-36b6aebea7fb · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Turning a surface inside out
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation db720b7d-8a85-4306-b627-036ec6644a96 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The parametric W illmore flow
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 972b7f8b-1094-4ed9-9a93-d7a8058aa2a2 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Pinkall and I
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c3b85bf8-c069-49dc-8de6-de79045ad2a7 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Analysis aspects of W illmore surfaces
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 459d1107-0bc0-489d-a404-3f51009b5353 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Conformally Invariant Variational Problems
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cfb97ddb-7e6a-457f-9420-8a228b81d716 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Willmore minmax surfaces and the cost of the sphere eversion
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation aaec7e09-8654-4acc-8d32-95030f0c6d76 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Global existence for the W illmore flow with boundary via S imon's L i- Y au inequality
Reference 61
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6b6f57ea-ffa9-4fcd-bc11-ed7256a0e842 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow An Invariant for Triple-Point-Free Immersed Spheres
Reference 62
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e14e9ed5-a2c6-4005-ac0c-4c40ad73f80d · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Existence of surfaces minimizing the W illmore functional
Reference 63
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation dabb2815-049a-4d47-9b4e-39a2bfaf8007 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The W illmore flow near spheres
Reference 64
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation aaee6417-804f-4e81-b3b3-69b92c8831fd · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow A classification of immersions of the two-sphere
Reference 65
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 69e97431-729d-42b0-9221-4d5024e24f81 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Diffeomorphisms of the 2 -sphere
Reference 66
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8fc409b-195a-4919-a58d-f8ec4b32e347 · outbound
The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers
Reference 67
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 139ec1cd-17db-409e-b512-d60a2b29885a · inbound
An Invariant for Triple-Point-Free Immersed Spheres The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.