Paper Citation Record · LEDGER

Minimizers of Generalized Willmore Functionals

As of 15 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:1909.02381.

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

pith.paper-citation-record.v1
1909.02381 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:02:54.323784Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:58:54.580924Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T04:58:54.705558Z

Reference resolution

12 of 12 outbound references displayed

verified exact1
verified fuzzy8
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6853aa5a-6993-49fd-913b-19e7928c580d · outbound

This paper cites American Journal of Mathematics, 136, August 2014.

Minimizers of Generalized Willmore Functionals American Journal of Mathematics, 136, August 2014

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:02:54.483524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 1db7e3cd-4106-4431-a706-1d4756054088 · outbound

This paper cites Concentration of Small Hawking Type Surfaces.

Minimizers of Generalized Willmore Functionals Concentration of Small Hawking Type Surfaces

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-14T05:02:54.379372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 12e138cd-6736-4d52-b3e2-e4a6a857d090 · outbound

This paper cites Helfrich.

Minimizers of Generalized Willmore Functionals Helfrich

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:02:54.473402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation bc4225b4-b48c-461c-ab3f-7dc8212ef43f · outbound

This paper cites Geometric evolution equations for hypersurfaces.Lecture Notes in Mathematics, pages 45–84, 1999.

Minimizers of Generalized Willmore Functionals Geometric evolution equations for hypersurfaces.Lecture Notes in Mathematics, pages 45–84, 1999

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:02:54.462985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f3d5aaa7-7e9b-4752-bb6c-61a0968603b7 · outbound

This paper cites Springer, 1997.

Minimizers of Generalized Willmore Functionals Springer, 1997

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:02:54.452504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9fca39d6-7511-4734-b081-dd968e2611f1 · outbound

This paper cites W 2,2-conformal immersions of closed Riemann surfaces into Rn.

Minimizers of Generalized Willmore Functionals W 2,2-conformal immersions of closed Riemann surfaces into Rn

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:02:54.441119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation df5f95f4-8b36-433b-917f-b602450f0c17 · outbound

This paper cites Small surfaces of Willmore type in Riemannian manifolds.

Minimizers of Generalized Willmore Functionals Small surfaces of Willmore type in Riemannian manifolds

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T05:02:54.305346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e540103-e5ed-4899-95d7-ecffef228c76 · outbound

This paper cites Minimizers of the Willmore functional with a small area constraint.

Minimizers of Generalized Willmore Functionals Minimizers of the Willmore functional with a small area constraint

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T05:02:54.309249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2656c44-f887-43bb-8a94-17200f12d228 · outbound

This paper cites Curvature varifolds with boundary.J.

Minimizers of Generalized Willmore Functionals Curvature varifolds with boundary.J

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:02:54.429169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 2c64b6d0-6dbc-4054-aeac-c6d563f3461a · outbound

This paper cites Willmore spheres in compact Riemannian manifolds.Advances in Mathematics, 232(1):608 – 676, 2013.

Minimizers of Generalized Willmore Functionals Willmore spheres in compact Riemannian manifolds.Advances in Mathematics, 232(1):608 – 676, 2013

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:02:54.417011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f472acad-1918-48a2-8d4a-68b55224ccb2 · outbound

This paper cites Decay estimates for Rivière’s equation, with applications to regularity and compactness.Transactions of the American Mathematical Society, 365:3217–2339, 2013.

Minimizers of Generalized Willmore Functionals Decay estimates for Rivière’s equation, with applications to regularity and compactness.Transactions of the American Mathematical Society, 365:3217–2339, 2013

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T05:02:54.405276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8d053266-1d06-4bb3-afb4-f41184b9a485 · outbound

This paper cites an unresolved cited work.

Minimizers of Generalized Willmore Functionals Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-14T05:02:54.393257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation 99f9362d-aff4-48af-b741-ff0d53d522e6 · inbound

Concentration of Small Hawking Type Surfaces cites this paper.

Concentration of Small Hawking Type Surfaces Minimizers of Generalized Willmore Functionals

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:58:54.709418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.