Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T12:28:01.159071Z
Paper Citation Record · LEDGER
The curve shortening flow with density of a spherical curve in codimension two
As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:1908.07441.
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 2026-08-16T06:30:59.297886+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
24 of 24 outbound references displayed
- verified exact0
- verified fuzzy21
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ab02daf1-0d2d-4bfe-ac8d-cac887d9aac2 · outbound
This paper cites Parabolic equations for curves on surfaces.
The curve shortening flow with density of a spherical curve in codimension two Parabolic equations for curves on surfaces
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.580805Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b07bf46a-9c85-40f6-8b3f-44b9cf5d3511 · outbound
This paper cites Parabolic equations for curves on surfaces.
The curve shortening flow with density of a spherical curve in codimension two Parabolic equations for curves on surfaces
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.565075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9658c690-c342-420e-91da-d8e6102e1edb · outbound
This paper cites Gaussian mean curvature flow.
The curve shortening flow with density of a spherical curve in codimension two Gaussian mean curvature flow
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.549037Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b33a23d3-a961-4bde-994f-e8e9a5e5056d · outbound
This paper cites M., and Miquel, V.
The curve shortening flow with density of a spherical curve in codimension two M., and Miquel, V
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.532622Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 86f5a96d-6929-4b55-99c9-ae159c9cae6f · outbound
This paper cites Mean curvature flow of surface in 4-manifolds.
The curve shortening flow with density of a spherical curve in codimension two Mean curvature flow of surface in 4-manifolds
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.516863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 86606f1a-9383-4bce-ba57-d6b8ef7bbd96 · outbound
This paper cites The Curve Shortening Problem.
The curve shortening flow with density of a spherical curve in codimension two The Curve Shortening Problem
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.500136Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d32071d9-d4e8-4084-b53e-609e7362e7ac · outbound
This paper cites The heat equation shrinking convex plane curves.
The curve shortening flow with density of a spherical curve in codimension two The heat equation shrinking convex plane curves
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.484372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 33999460-acb5-46e5-ab69-09db6eb5e6cf · outbound
This paper cites an unresolved cited work.
The curve shortening flow with density of a spherical curve in codimension two Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:28:01.468641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 596edc59-5fee-43e0-9b5e-ee093ef82d2d · outbound
This paper cites an unresolved cited work.
The curve shortening flow with density of a spherical curve in codimension two Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:28:01.453325Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 95f2f34a-6f96-4e96-b7c0-4fbf2a975f1e · outbound
This paper cites Shortening embedded curves.
The curve shortening flow with density of a spherical curve in codimension two Shortening embedded curves
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.436460Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 16243d0d-a3a1-4f7e-b747-f50cd0d67f7c · outbound
This paper cites Analytic and geometric background of recurrence and non-explosion of the brownian motion on riemannian manifol ds.
The curve shortening flow with density of a spherical curve in codimension two Analytic and geometric background of recurrence and non-explosion of the brownian motion on riemannian manifol ds
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.420814Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d300044b-769a-4efb-af17-eaee8828c1e2 · outbound
This paper cites Three-manifolds with positive ricci curvature.
The curve shortening flow with density of a spherical curve in codimension two Three-manifolds with positive ricci curvature
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.404278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 931da26f-11e5-4cb8-a4a4-e0cc7e01eb81 · outbound
This paper cites Asymptotic behavior for singularities of the mean curva- ture flow.
The curve shortening flow with density of a spherical curve in codimension two Asymptotic behavior for singularities of the mean curva- ture flow
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.388294Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fadadb81-eb8a-490e-a675-e93d745eac08 · outbound
This paper cites Curve shortening in a Riemannian manifold , vol.
The curve shortening flow with density of a spherical curve in codimension two Curve shortening in a Riemannian manifold , vol
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.371836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a37a3ae0-a206-4244-90df-091ace5f5f14 · outbound
This paper cites The curve shortening problem associated to a density.
The curve shortening flow with density of a spherical curve in codimension two The curve shortening problem associated to a density
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.354974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f6961382-c1e7-4d62-85b2-40f42ad58756 · outbound
This paper cites Type i singularities in the curve shortening flow associated to a density.
The curve shortening flow with density of a spherical curve in codimension two Type i singularities in the curve shortening flow associated to a density
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.338471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 08204394-90ec-4451-9c00-e0962eb4e284 · outbound
This paper cites an unresolved cited work.
The curve shortening flow with density of a spherical curve in codimension two Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T12:28:01.321381Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c411eb53-ff80-4cfd-8566-b8350d073798 · outbound
This paper cites Semi-Riemannian Geometry with Applications to Rela- tivity.
The curve shortening flow with density of a spherical curve in codimension two Semi-Riemannian Geometry with Applications to Rela- tivity
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.304562Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9da3ffb2-a995-4550-adb2-454bee601e0a · outbound
This paper cites C., and Smoczyk, K.
The curve shortening flow with density of a spherical curve in codimension two C., and Smoczyk, K
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.286754Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9b3d5bc3-df84-4d0f-b892-346eff830845 · outbound
This paper cites Symmetric hypersurfaces in riemannian manifolds con- tracting to lie-groups by their mean curvature.
The curve shortening flow with density of a spherical curve in codimension two Symmetric hypersurfaces in riemannian manifolds con- tracting to lie-groups by their mean curvature
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.267894Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 46276ce6-447d-43a4-a419-b826109d4661 · outbound
This paper cites Mean curvature flow in higher codimension: Introduc- tion and survey.
The curve shortening flow with density of a spherical curve in codimension two Mean curvature flow in higher codimension: Introduc- tion and survey
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.250225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 08d55e1d-c3c4-40b8-9571-aaac17fd3472 · outbound
This paper cites Mean curvature flow of surfaces in einstein four- manifolds.
The curve shortening flow with density of a spherical curve in codimension two Mean curvature flow of surfaces in einstein four- manifolds
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.231642Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation fa1f5c29-5cbd-41f3-ac6b-760c1cea07ad · outbound
This paper cites Curve shortening flows in warped product manifolds.
The curve shortening flow with density of a spherical curve in codimension two Curve shortening flows in warped product manifolds
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.214474Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e2b55be5-dbf7-45a1-bf29-ece4cc941fa4 · outbound
This paper cites Asymptotic behavior of anisotropic curve flows.
The curve shortening flow with density of a spherical curve in codimension two Asymptotic behavior of anisotropic curve flows
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T12:28:01.197501Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.