Paper Citation Record · LEDGER

Concentration of Small Hawking Type Surfaces

As of 21 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:1909.02388.

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

pith.paper-citation-record.v1
1909.02388 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:58:54.625248Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:02:54.285412Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T05:02:54.373097Z

Reference resolution

17 of 17 outbound references displayed

verified exact4
verified fuzzy12
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f27ae533-9728-433d-9e12-f801421a036e · outbound

This paper cites Bubble tree of a class of confo rmal mappings and applications to Willmore functional.

Concentration of Small Hawking Type Surfaces Bubble tree of a class of confo rmal mappings and applications to Willmore functional

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.859921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 194a8867-98ac-45bb-b509-2d7f943f5ecf · outbound

This paper cites Optimal rigidity es timates for nearly umbilical surfaces.

Concentration of Small Hawking Type Surfaces Optimal rigidity es timates for nearly umbilical surfaces

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.848553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 23c1d804-3894-4a81-81a4-ef4b877c3d69 · outbound

This paper cites A C 0 estimate for nearly umbilical surfaces.

Concentration of Small Hawking Type Surfaces A C 0 estimate for nearly umbilical surfaces

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.836775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e9c382d9-95fa-4fd8-bef7-6540bfe28601 · outbound

This paper cites Normally Hyperbolic Invariant Manifolds - The Noncompact C ase.

Concentration of Small Hawking Type Surfaces Normally Hyperbolic Invariant Manifolds - The Noncompact C ase

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.825442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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

This paper cites Minimizers of Generalized Willmore Functionals.

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 2026-08-21T06:32:19.484+00:00.

Observation 6bd3a261-28b8-419e-b513-d03345424d41 · outbound

This paper cites Horowitz and B.G.

Concentration of Small Hawking Type Surfaces Horowitz and B.G

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.813825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 62fa2b37-c526-4e74-93d7-3141a292d590 · outbound

This paper cites Geometric evolut ion equations for hypersurfaces.

Concentration of Small Hawking Type Surfaces Geometric evolut ion equations for hypersurfaces

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.802597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3150f090-dd46-4c4f-99b5-a96f4eba77d1 · outbound

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

Concentration of Small Hawking Type Surfaces W 2, 2-conformal immersions of closed Riemann surfaces into Rn

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.791301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 84db8a12-d032-4c45-96b3-89d2b90ece20 · outbound

This paper cites Removability of point singul arities of Willmore surfaces.

Concentration of Small Hawking Type Surfaces Removability of point singul arities of Willmore surfaces

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.779475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d269feed-602a-4436-9645-5468f7258af5 · outbound

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

Concentration of Small Hawking Type Surfaces Small surfaces of Willmore type in Riemannian manifolds

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:58:54.693901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fdfd6e22-fdbe-4406-bd34-bbee464de0c2 · outbound

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

Concentration of Small Hawking Type Surfaces Minimizers of the Willmore functional with a small area constraint

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:58:54.678028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6b8cfe51-48e3-4d32-ab6a-4378e8eb6fff · outbound

This paper cites A New Conformal Invariant an d Its Applications to the Wilmore Con- jecture and the First Eigenvalue of Compact Surfaces.

Concentration of Small Hawking Type Surfaces A New Conformal Invariant an d Its Applications to the Wilmore Con- jecture and the First Eigenvalue of Compact Surfaces

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.768082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e0cafef6-4e1b-4b8a-8b1e-08d164c6ca96 · outbound

This paper cites Refined position estimates for surfaces of Willmore type in Riemannian manifolds.

Concentration of Small Hawking Type Surfaces Refined position estimates for surfaces of Willmore type in Riemannian manifolds

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:58:54.661276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c9d887e3-d22d-4d3b-9b07-5d6a8bfaf691 · outbound

This paper cites Some results about the existence of cri tical points for the Willmore functional.

Concentration of Small Hawking Type Surfaces Some results about the existence of cri tical points for the Willmore functional

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.756562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b9d5c37e-f4eb-4354-b9ca-bed0be065f14 · outbound

This paper cites Willmore spheres i n compact Riemannian manifolds.

Concentration of Small Hawking Type Surfaces Willmore spheres i n compact Riemannian manifolds

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.744893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 232785e1-f67c-4597-92ff-35d64cfad9db · outbound

This paper cites Szabados.

Concentration of Small Hawking Type Surfaces Szabados

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T04:58:54.733256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 08aba963-4667-40a6-8f6c-fa33d2312445 · outbound

This paper cites an unresolved cited work.

Concentration of Small Hawking Type Surfaces Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T04:58:54.720914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

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

Minimizers of Generalized Willmore Functionals cites this paper.

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 2026-08-21T06:32:19.484+00:00.