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Paper Citation Record · LEDGER

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow

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.

pith.paper-citation-record.v1
2506.23359 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:00:38.203994Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:45:39.782324Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-06T22:45:40.635468Z

Reference resolution

67 of 67 outbound references displayed

  • verified exact6
  • verified fuzzy54
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d280941b-91ea-4619-85b7-e040efa6526f · outbound

This paper cites The `Holiverse': holistic eversion of the 2-sphere in $\R^3$.

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

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:00:38.965042Z

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.

source=arxiv_source observed=2026-08-06T22:00:33.196904Z digest=sha256:0952972a8880cdc6a4d884bc475251b1aebbfdc328b2c48ca0182acd4ba62081

Observation 679dfc66-d10f-4d9a-9e9f-6318b811b62e · outbound

This paper cites An algebraic halfway model for the eversion of the sphere.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:48.549961Z

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.

source=arxiv_source observed=2026-08-06T22:00:33.309463Z digest=sha256:898713146e7dd086fdc8866f597e810eab2948881dc45dc01096ad8a012d2585

Observation 164b8fcc-f99e-4b34-9312-4b7b469a1b0d · outbound

This paper cites Analytic sphere eversion using ruled surfaces.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Analytic sphere eversion using ruled surfaces

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:48.509742Z

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.

source=arxiv_source observed=2026-08-06T22:00:33.382847Z digest=sha256:40d7cb13f929d2cc7290e0fca8ec0b8d998cd03ac7b0fba3f17a337c49052fa4

Observation 353132cb-699f-42d1-b8b4-89c46afb8a33 · outbound

This paper cites Existence of minimizing W illmore surfaces of prescribed genus.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Existence of minimizing W illmore surfaces of prescribed genus

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:48.273340Z

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.

source=arxiv_source observed=2026-08-06T22:00:33.440447Z digest=sha256:9e7d0b79cb7bc46d590bf00b5d34a1fb5a97c425899d7840d2be64dfa351c4f5

Observation bba9d0ac-81cc-4aa0-8295-e995076221f1 · outbound

This paper cites Polygon Mesh Processing.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Polygon Mesh Processing

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:48.102496Z

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.

source=arxiv_source observed=2026-08-06T22:00:33.524099Z digest=sha256:15e1f80f968fe58c3d3997009c0692f876c1c17f86a2ff19881a776cac7c5220

Observation 820d45e9-d291-444d-8cdf-ae1bfe3a5c42 · outbound

This paper cites A singular example for the W illmore flow.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow A singular example for the W illmore flow

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:47.873540Z

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.

source=arxiv_source observed=2026-08-06T22:00:33.607832Z digest=sha256:239e4f7a306e67f8769f27779abeb53ac5f95657c3b9de0e243ef7060129f6bb

Observation b9e99bfb-d18f-4624-b6b4-3fc88cdd17c5 · outbound

This paper cites Energy quantization for W illmore surfaces and applications.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Energy quantization for W illmore surfaces and applications

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:47.709332Z

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.

source=arxiv_source observed=2026-08-06T22:00:33.673615Z digest=sha256:4d8e59cbcfa430daf365574a014348a4c07e15aecb618e5281e455f3eeb6fb86

Observation b255b657-1bbe-4ff7-a31c-579e1740f8e0 · outbound

This paper cites Immersions with bounded second fundamental form.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Immersions with bounded second fundamental form

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:47.547079Z

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.

source=arxiv_source observed=2026-08-06T22:00:33.840392Z digest=sha256:ad2363e7e4aa2dbb1b3ced392b2d9fc47e26f1a632854888b98432fd5f0dbee2

Observation 40a983da-a8bd-496d-a1e9-9b4ec8d6de10 · outbound

This paper cites an unresolved cited work.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:00:47.405034Z

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.

source=arxiv_source observed=2026-08-06T22:00:33.916791Z digest=sha256:7e79eb1d449b7d26236d49a29e8f8e5e00c0fe889ab5b8dd77819789fa6dd59d

Observation 83e387e6-a2e7-4134-b4a8-e39044e17b6c · outbound

This paper cites Bubble tree of branched conformal immersions and applications to the W illmore functional.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:47.261398Z

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.

source=arxiv_source observed=2026-08-06T22:00:34.006347Z digest=sha256:03076a95c51262c5e88d572d533a5ca953462bd0d9f7752a6da7e86d60273f79

Observation c30a9a69-5aaa-447a-bb9d-02c36e7bc697 · outbound

This paper cites do Carmo.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow do Carmo

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:47.136823Z

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.

source=arxiv_source observed=2026-08-06T22:00:34.104827Z digest=sha256:d4254a352138547e3d6751accf08cf465471582751f1aa0480d07d7191eeab6a

Observation 13a2f884-99ce-4e33-93e8-193e6f98611d · outbound

This paper cites Dimension reduction for Willmore flows of tori: fixed conformal class and analysis of singularities.

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

Resolution
unresolved
no resolver link, observed 2026-08-06T22:00:34.198717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:00:34.198717Z digest=sha256:6ed2a8dd9434122ba4000b227e9b82b76a142fb5d391ab46369873f7c19c4844

Observation 60bb94ed-610f-4a94-be24-636182181205 · outbound

This paper cites uller, Reiner Sch\.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow uller, Reiner Sch\

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:47.020114Z

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.

source=arxiv_source observed=2026-08-06T22:00:34.287071Z digest=sha256:79071339de06cadf9ffae1fa6f173eca65b1fb2c2da2501b9cc8b4698c9960c8

Observation f788a952-e1c1-433e-af44-4c2acf10f2f8 · outbound

This paper cites Francis and Bernard Morin.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Francis and Bernard Morin

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:46.912659Z

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.

source=arxiv_source observed=2026-08-06T22:00:34.446389Z digest=sha256:88d0122e77839f650024cc97f0ebf861c258d6bf9eddf9649ed6721150bef9df

Observation 279bb884-5843-44a2-a91e-7c4a2ce8dd38 · outbound

This paper cites Sullivan, and Chris Hartman.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Sullivan, and Chris Hartman

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:46.792183Z

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.

source=arxiv_source observed=2026-08-06T22:00:34.572197Z digest=sha256:da7d40a979026ee055c447531905ee720d4e7acca2a2953f35d2ff625b18f085

Observation a5c61c0b-67ad-462b-950f-5be26da01c73 · outbound

This paper cites Sullivan, Rob B.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Sullivan, Rob B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:46.697222Z

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.

source=arxiv_source observed=2026-08-06T22:00:34.700989Z digest=sha256:4acfd058d0f4345f67f7cfdc68f2629a3926ec7e10926537c0301dbae6f36189

Observation 944664cd-5ac1-4bbe-8577-30dd4f369763 · outbound

This paper cites Goryunov.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Goryunov

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:46.600899Z

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.

source=arxiv_source observed=2026-08-06T22:00:34.796921Z digest=sha256:632fce1e7f199f4b39576686ebb5ed44b083d3531a9ddb5107a6a8602b53a0c5

Observation 51a66043-0693-4372-89a2-4445cac012de · outbound

This paper cites Helfrich.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Helfrich

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:46.456988Z

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.

source=arxiv_source observed=2026-08-06T22:00:34.865365Z digest=sha256:5d0c99b93a9238d06084370f5bc0d2ada395db426bec96920ca0c59dd2eeebb2

Observation dddcb71a-f8c3-4f26-b068-84b00bc017b8 · outbound

This paper cites Geometry of complete minimal surfaces at infinity and the W illmore index of their inversions.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:46.285483Z

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.

source=arxiv_source observed=2026-08-06T22:00:34.956933Z digest=sha256:f34ec2ae6a0adde9341d68a6339893a79b37e14dd22061b32da8d0afe066e9a9

Observation 99536947-1f4e-468f-8470-3e37bd8b1e8e · outbound

This paper cites On the index of W illmore spheres.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow On the index of W illmore spheres

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:46.123662Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.113574Z digest=sha256:17bdb4e69bf6ecca20693cd17efb0f22f240f9e88392ac9822d4d4e0429b28f7

Observation 0640d6ab-b406-4e83-b9fa-e1038e1d72bc · outbound

This paper cites an unresolved cited work.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:00:45.939561Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.145313Z digest=sha256:74f51106eecfafd9a474a299b60f9bf84d608a1eae90486db3db3da7f4d357b1

Observation e277a28b-4d5f-404c-bd52-043f534cf33b · outbound

This paper cites Sphere eversion from the viewpoint of generic homotopy.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Sphere eversion from the viewpoint of generic homotopy

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:45.805337Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.231709Z digest=sha256:775913d0425223b7e7e0ebd66aaa6be92eed9d8e3a7d689087ef447eeb87ddd8

Observation 0300ba61-a499-470f-a5c1-605f13ab9e23 · outbound

This paper cites W^ 2,2 -conformal immersions of a closed R iemann surface into R^n.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:45.648249Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.318298Z digest=sha256:45642eb5a80aa354f3b808d1a24c168b8daa6489a7aa18e126d771ad5f758e07

Observation 6ceffb61-8c1c-4b3f-931f-ca6c806fc63e · outbound

This paper cites The large genus limit of the infimum of the W illmore energy.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:45.477261Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.392888Z digest=sha256:4963ed538126d78b2619f53c580d0d01b2f34184685f9cab432344a37daf7f05

Observation a985cc9a-94ef-4406-a3a8-5d86894e4fdd · outbound

This paper cites The area preserving W illmore flow and local maximizers of the H awking mass in asymptotically S chwarzschild manifolds.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:45.286369Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.451356Z digest=sha256:e2237bf7ea48d2bb5b8d6e9ae051ec7a01c23f9ecc54e25c83b3fb5065d2f904

Observation 76bcaf90-8897-485c-954b-969aa1a519c9 · outbound

This paper cites The W illmore flow with small initial energy.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The W illmore flow with small initial energy

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:45.123409Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.546128Z digest=sha256:1c4048465b14db0dbee50a9d3d3c219bb33ce0c008b341c7cf341eb718c3f27b

Observation f98316f7-b3b2-4c4f-a682-ab43e42f51f3 · outbound

This paper cites Gradient flow for the W illmore functional.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Gradient flow for the W illmore functional

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:44.924033Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.630150Z digest=sha256:c4678854d257099d5231e433006048d6c0f99c74ac1df2db157725b2061e0e1e

Observation 3e58dfdc-c051-47d8-9f85-56ecc9490b46 · outbound

This paper cites Removability of point singularities of W illmore surfaces.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Removability of point singularities of W illmore surfaces

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:44.710460Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.712879Z digest=sha256:1450682b3feff380281d0330c98a30142f2c131fdab1f989347eb621c248d23b

Observation 6ae8ea75-b45d-4ddb-a613-39e175a7fcbd · outbound

This paper cites The W illmore functional.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The W illmore functional

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:44.511771Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.789696Z digest=sha256:581caf5ede619f3aebe86fe6b5e4db77dec10cef487080dfb4026d17bdf8a2ae

Observation b369d824-bf41-4767-9a1c-88d2f3e22609 · outbound

This paper cites an unresolved cited work.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:00:44.321904Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.864764Z digest=sha256:9d5d1c89b4d3281f0764d3739448916c5d30304355adc292dc4116c4771b65f7

Observation ce371b7f-c241-4975-8999-6d2e5c718a55 · outbound

This paper cites Conformal geometry and complete minimal surfaces.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Conformal geometry and complete minimal surfaces

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:44.166395Z

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.

source=arxiv_source observed=2026-08-06T22:00:35.930854Z digest=sha256:46f43ad66c335b0616cd19636aab69c4a4b3bc49ffecbf534ae1df7e3490d83f

Observation e67c4652-60b8-4790-afd9-a05fa75b9538 · outbound

This paper cites Bubbles, conservation laws, and balanced diagrams.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Bubbles, conservation laws, and balanced diagrams

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:43.981035Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.009807Z digest=sha256:5b5e7cbdd038ab7efd6ed4397856da655dc96ba30637412d59e5e75a6bd57691

Observation 106e9e14-92c1-40ab-940d-2cbcdb84bf2c · outbound

This paper cites A compactness theorem for surfaces with L_p -bounded second fundamental form.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:43.798960Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.070241Z digest=sha256:896fa9f03e18fa7fc81db750043fddf5653f8f6b85268b161e4a5f2113402839

Observation e0733c88-d0f0-444b-ac19-478b822ae7c0 · outbound

This paper cites Branched W illmore spheres.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Branched W illmore spheres

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:43.658323Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.122168Z digest=sha256:fc246a3571a769bf8ce07838eb7721a96b12ec7ff8557438e35983597ea70cc9

Observation 39d39ac0-b17b-405b-98b7-098d4881a8df · outbound

This paper cites L \'o pez.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow L \'o pez

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:43.500006Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.190658Z digest=sha256:da49b22b2ae4edc04cda2fb04961bfde3acd400b6c0db98bb37e202448394587

Observation 1df05cb6-430b-4559-806f-8e76174864d6 · outbound

This paper cites Curves in the hyperbolic plane and mean curvature of tori in 3 -space.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:43.338322Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.259211Z digest=sha256:8c8c570e5317a112bed09c8760490661367fd169e6a073b43244a1771910d8dc

Observation 2852a44f-b0f7-41c0-ab3d-8fa502e9780f · outbound

This paper cites A new conformal invariant and its applications to the W illmore conjecture and the first eigenvalue of compact surfaces.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:43.163884Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.337317Z digest=sha256:12e158987ced2d9ef9925a3e510d4120bd41d1dae16f4d72c5c0d725e5e7f15c

Observation e0a3aa5f-50e6-4693-9d9a-023ac6fbb43a · outbound

This paper cites Closed mean curvature flows with asymptotically conical singularities.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Closed mean curvature flows with asymptotically conical singularities

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:00:38.831175Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.422691Z digest=sha256:da00af2d7e0ddc333f28c64477c415c52ead35b9a34f00ab62d7917693437af2

Observation dd532b2d-a77e-4279-b552-4128bbd8f5ae · outbound

This paper cites Explicit formulas, symmetry and symmetry breaking for W illmore surfaces of revolution.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:43.056764Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.501801Z digest=sha256:46b2600cdb4089f4b9cf6a88fed5d5900de8c94c39fcdb8850e9405b7a55d7de

Observation 7b0d97f3-52eb-474c-ad76-01d3f3a27c95 · outbound

This paper cites Classification of branched Willmore spheres.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Classification of branched Willmore spheres

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:00:38.740413Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.571825Z digest=sha256:ae8ea965101d885a6b0faf2f58d13efffede52cdeabdff82c2535edd847956a7

Observation e02553dc-9c0f-4db0-99ab-d337c3f80fe9 · outbound

This paper cites Every sphere eversion has a quadruple point.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Every sphere eversion has a quadruple point

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:42.917758Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.629857Z digest=sha256:cec50139c776f1f53e90c54d73061f41a88c608747a7320831e00b5953616fdb

Observation 48590c0d-1083-4b83-9c58-40a3961d702f · outbound

This paper cites On the M orse index of branched W illmore spheres in 3-space.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:42.773360Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.678929Z digest=sha256:d5c7b8ca25ab569728179dee669eacbd09044e796ed895abcf6136fb1744a66d

Observation 96337a08-1bfd-4810-af8b-36a24fc2b0e3 · outbound

This paper cites Li- Y au type inequality for curves in any codimension.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:42.613837Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.732091Z digest=sha256:97b7b6f24a22094a2701c5c55b05aa660a30a1bbd0795b7f64791b49d4cb0289

Observation 68c86b26-614a-4483-8a1c-a981756f810c · outbound

This paper cites Marques and Andr\'e Neves.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Marques and Andr\'e Neves

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:42.416317Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.778719Z digest=sha256:28caf453a21e42feae2c2b8aa2f935cca80ca5c1838d642748c00fd7af668296

Observation bd4c49ee-e27f-496a-8724-bcfa4a403c5f · outbound

This paper cites Marques and Andr\'e Neves.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Marques and Andr\'e Neves

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:42.273141Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.843086Z digest=sha256:4dd13211cadeab8b75214ded89396a59b18816ccabe5a3445ffff5a5de4cbcee

Observation 5e3732ee-daf2-4cfe-962b-3136f458053f · outbound

This paper cites an unresolved cited work.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:00:42.046198Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.894198Z digest=sha256:2ca8ac09308bad4c9c0f815a5bdd3ce1078815acaa44e39cdbaae5e996dbc5d7

Observation d9424de6-cbf9-4df1-a1bb-683281c56214 · outbound

This paper cites Le retournement de la sphere.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Le retournement de la sphere

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:41.794988Z

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.

source=arxiv_source observed=2026-08-06T22:00:36.935814Z digest=sha256:b50894213b63d3ca04c630146f59457fc8c757d7b97bf8a425588fd5b78a4cd5

Observation f6213b88-1fca-406d-b2ec-48b79fbb5183 · outbound

This paper cites Probl\'ematique du retournement de la sph\`ere.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Probl\'ematique du retournement de la sph\`ere

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:41.561778Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.007174Z digest=sha256:4c82eb8f79d8d5e2a7f2df7db1ff256e82caf2cc19b3451ab1ef9def294a907a

Observation f41f1192-258d-450d-a2c7-ec7c685b2f29 · outbound

This paper cites The classification of branched W illmore spheres in the 3-sphere and the 4-sphere.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:41.402936Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.092477Z digest=sha256:f1bad93b1ed93a42eee192ff7414557e5c5b120190c2d3e7ca0140d291558e54

Observation b9c5d21d-b1b2-40f5-be1f-eacf3dbcd966 · outbound

This paper cites A L i- Y au inequality for the 1-dimensional W illmore energy.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:41.219727Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.192026Z digest=sha256:6a567d6704003fc5a3b3f5ef620e193a3ee6f1d7eba68aea1781896e2cc04ea6

Observation e72ea82d-5dbd-45ca-a01e-38887e619226 · outbound

This paper cites Short closed geodesics and the W illmore energy, 2025.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Short closed geodesics and the W illmore energy, 2025

Reference 51

Resolution
verified exact
raw_fallback, observed 2026-08-06T22:00:38.623864Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.251075Z digest=sha256:6a8fb1885f87b16fda5ff28f6f0f07589c688bdc48c07c7e8733ea3f78df54ab

Observation 951558b6-700b-4e45-a30f-9c494fa8feeb · outbound

This paper cites Mayer and Gieri Simonett.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Mayer and Gieri Simonett

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:41.052190Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.301227Z digest=sha256:003ab956c8e1da41e7b063652b289d6ffd5c2cb089c7d8a42caa4982e6b1a8eb

Observation cb980b72-9268-46b4-aa2c-4344385c6fd0 · outbound

This paper cites Elasticity Theory After Germain , pages 103--114.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Elasticity Theory After Germain , pages 103--114

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:40.760189Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.367387Z digest=sha256:2e78ddc2d660ffc3a5b1ce3218eda6c3f0d2657e20b6a2b0fc1b9e86ba59bf4c

Observation e811c902-58c6-47b1-b6fa-b3830f0a5a47 · outbound

This paper cites Riemann bilinear relations on minimal surfaces.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Riemann bilinear relations on minimal surfaces

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:40.558396Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.423418Z digest=sha256:b956a1bd403960a959970eb2547625002ccaad76b78bf99d3f2d467c3b355958

Observation 7ca2235a-9abd-4688-95ab-36b6aebea7fb · outbound

This paper cites Turning a surface inside out.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Turning a surface inside out

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:40.269091Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.489475Z digest=sha256:626b16c7b02cc60700a93b4d1f3923ebcdcf451ee9c7a80d3459327146f1cf94

Observation db720b7d-8a85-4306-b627-036ec6644a96 · outbound

This paper cites The parametric W illmore flow.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The parametric W illmore flow

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:40.046395Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.526848Z digest=sha256:f3daca709fe914b0fa24c571883471982708ac0587111e3e9e4c34ec3929ac7b

Observation 972b7f8b-1094-4ed9-9a93-d7a8058aa2a2 · outbound

This paper cites Pinkall and I.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Pinkall and I

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:39.883357Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.600270Z digest=sha256:c0e494ebb021a194d18122aa12ab3b928bfae2b46f7ae5363fa7daa6c15cc2e3

Observation c3b85bf8-c069-49dc-8de6-de79045ad2a7 · outbound

This paper cites Analysis aspects of W illmore surfaces.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Analysis aspects of W illmore surfaces

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:39.723446Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.639757Z digest=sha256:6db492c308a6d9ab6bd62ff593a915a00babd66b1cdfbfc656593dd76d9b42be

Observation 459d1107-0bc0-489d-a404-3f51009b5353 · outbound

This paper cites Conformally Invariant Variational Problems.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Conformally Invariant Variational Problems

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:00:38.448708Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.731539Z digest=sha256:f2ec329e3a6672a61e6baf4c45d2bd9e9ffff513b8cdbd4fbd254bd2128837e8

Observation cfb97ddb-7e6a-457f-9420-8a228b81d716 · outbound

This paper cites Willmore minmax surfaces and the cost of the sphere eversion.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:39.559952Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.820468Z digest=sha256:03e4af65044cb28646b5e1a33149e0de18598b5523a83faf5aeca5e6402865c3

Observation aaec7e09-8654-4acc-8d32-95030f0c6d76 · outbound

This paper cites Global existence for the W illmore flow with boundary via S imon's L i- Y au inequality.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:39.435480Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.873880Z digest=sha256:b367294e25d46d78a37235e813b7e33c22ef380f7ccb966d09f55284cb3c3a92

Observation 6b6f57ea-ffa9-4fcd-bc11-ed7256a0e842 · outbound

This paper cites An Invariant for Triple-Point-Free Immersed Spheres.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow An Invariant for Triple-Point-Free Immersed Spheres

Reference 62

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:00:38.352454Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.914547Z digest=sha256:75d707dee0e783960db58df4dec56a41440069e5f93adf3af8e0055c4fa10236

Observation e14e9ed5-a2c6-4005-ac0c-4c40ad73f80d · outbound

This paper cites Existence of surfaces minimizing the W illmore functional.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Existence of surfaces minimizing the W illmore functional

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:39.283111Z

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.

source=arxiv_source observed=2026-08-06T22:00:37.990892Z digest=sha256:2235b7b37278910523fc72a0af311eab383340d3c40965f2e8fcf023ee807063

Observation dabb2815-049a-4d47-9b4e-39a2bfaf8007 · outbound

This paper cites The W illmore flow near spheres.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow The W illmore flow near spheres

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:39.137531Z

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.

source=arxiv_source observed=2026-08-06T22:00:38.044984Z digest=sha256:d7c04d33fd8547087cf286b5f96be65ae9d8ff66e0fdeb3d04e4ea13d2b0f4e5

Observation aaee6417-804f-4e81-b3b3-69b92c8831fd · outbound

This paper cites A classification of immersions of the two-sphere.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow A classification of immersions of the two-sphere

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:00:39.051792Z

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.

source=arxiv_source observed=2026-08-06T22:00:38.107647Z digest=sha256:b600e5c40460ae8a742cfbf44d18f6a4403de4dbe31f04c9c1d49e027dddd76f

Observation 69e97431-729d-42b0-9221-4d5024e24f81 · outbound

This paper cites Diffeomorphisms of the 2 -sphere.

The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow Diffeomorphisms of the 2 -sphere

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-06T22:00:38.152903Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:00:38.152903Z digest=sha256:dbc18454bcd6b4b9796735ddacc2026d2a073a7fd7055ec111709b2ebe3a4545

Observation f8fc409b-195a-4919-a58d-f8ec4b32e347 · outbound

This paper cites Closed Ricci Flows with Singularities Modeled on Asymptotically Conical Shrinkers.

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

Resolution
unresolved
no resolver link, observed 2026-08-06T22:00:38.203994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T22:00:38.203994Z digest=sha256:27993e4b0a932c2922c40c6b21902b7454b1f11168baf909d6db6c4966ddbbf7

Pith citing papers

Observation 139ec1cd-17db-409e-b512-d60a2b29885a · inbound

An Invariant for Triple-Point-Free Immersed Spheres cites this paper.

An Invariant for Triple-Point-Free Immersed Spheres The Willmore Energy Landscape of Spheres and Avoidable Singularities of the Willmore Flow

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-06T22:45:40.691505Z

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.

source=arxiv_source observed=2026-08-06T22:45:39.782324Z digest=sha256:ef9f634fc81876b30d392892d551f3d248ebb2711228891311d0b2ae2219bf57