Paper Citation Record · LEDGER

One thousand and one higher-order geometric flows of networks

As of 21 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2607.13894.

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

pith.paper-citation-record.v1
2607.13894 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T03:35:41.234621Z

measured 17 of 17 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact7
verified fuzzy0
unresolved9
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malformed identifier1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6d4d592d-c02b-49a9-9db5-563b46fc7235 · outbound

This paper cites Crystalline elastic flow of polygonal curves: long time behaviour and convergence to stationary solutions.

One thousand and one higher-order geometric flows of networks Crystalline elastic flow of polygonal curves: long time behaviour and convergence to stationary solutions

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:39.360114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67f573eb-7f91-4633-a281-34c215950403 · outbound

This paper cites On the generalised ideal flow of closed planar curves.

One thousand and one higher-order geometric flows of networks On the generalised ideal flow of closed planar curves

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:39.985366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65739d57-be83-427d-ad14-88753395f11c · outbound

This paper cites Curve straightening and a minimax argument for closed elastic curves.

One thousand and one higher-order geometric flows of networks Curve straightening and a minimax argument for closed elastic curves

Reference 5

Resolution: verified exact; doi, observed 2026-08-02T03:38:29.364514Z

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 3c423f56-7204-4b35-ad03-19ff1912f464 · outbound

This paper cites Evolving inextensible and elastic curves with clamped ends under the second–order evolution equation inR 2.

One thousand and one higher-order geometric flows of networks Evolving inextensible and elastic curves with clamped ends under the second–order evolution equation inR 2

Reference 10

Resolution: verified exact; doi, observed 2026-08-02T03:38:29.235653Z

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 b421dcac-ecd0-4c08-ac39-d408204b709e · outbound

This paper cites The dynamics of elastic closed curves under uniform high pressure.

One thousand and one higher-order geometric flows of networks The dynamics of elastic closed curves under uniform high pressure

Reference 12

Resolution: verified exact; doi, observed 2026-08-02T03:38:28.869654Z

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 188e0832-d510-4048-a83f-6ebab026e9f0 · outbound

This paper cites L 2 flow of curve straightening in the plane.

One thousand and one higher-order geometric flows of networks L 2 flow of curve straightening in the plane

Reference 17

Resolution: malformed identifier; no resolver link, observed 2026-08-02T03:35:41.234621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a680f652-6607-4d73-99d3-6aab0dc59aab · outbound

This paper cites A sixth order curvature flow of plane curves with boundary conditions.

One thousand and one higher-order geometric flows of networks A sixth order curvature flow of plane curves with boundary conditions

Reference 18

Resolution: verified exact; doi, observed 2026-08-02T03:38:29.064973Z

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 ee27c303-5b5d-413a-955e-bfe6b6a23a65 · outbound

This paper cites Sobolev, Besov and Nikolskii fractional spaces: imbeddings and com- parisons for vector valued spaces on an interval.

One thousand and one higher-order geometric flows of networks Sobolev, Besov and Nikolskii fractional spaces: imbeddings and com- parisons for vector valued spaces on an interval

Reference 41

Resolution: verified exact; doi, observed 2026-08-02T03:38:28.760406Z

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 3c198a2b-af3c-4f52-9309-0744eb714ad4 · outbound

This paper cites Existence and convergence of the length-preserving elas- tic flow of clamped curves.

One thousand and one higher-order geometric flows of networks Existence and convergence of the length-preserving elas- tic flow of clamped curves

Reference 105

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:40.717753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 894ec93c-3201-4274-9660-304866bda515 · outbound

This paper cites The heat equation shrinks embedded plane curves to round points.

One thousand and one higher-order geometric flows of networks The heat equation shrinks embedded plane curves to round points

Reference 154

Resolution: verified exact; doi, observed 2026-08-02T03:38:29.535123Z

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 6c69733b-7e42-4668-8f63-a325e7b78c15 · outbound

This paper cites Evolution of open elastic curves inR n subject to fixed length and natural boundary conditions.

One thousand and one higher-order geometric flows of networks Evolution of open elastic curves inR n subject to fixed length and natural boundary conditions

Reference 1952

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:39.429065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fda03aed-6044-4fb6-bffb-521b020e65b0 · outbound

This paper cites Short time existence for the elastic flow of clamped curves.

One thousand and one higher-order geometric flows of networks Short time existence for the elastic flow of clamped curves

Reference 1967

Resolution: verified exact; doi, observed 2026-08-02T03:38:28.668155Z

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 ebc650bd-a5e8-491a-bc0f-b7d6088bc8e6 · outbound

This paper cites Nonlinear parabolic equations and systems.

One thousand and one higher-order geometric flows of networks Nonlinear parabolic equations and systems

Reference 1995

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:39.757050Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a295fcd3-ea36-40f9-aee1-90fccc86d18d · outbound

This paper cites Convergence of elastic flows of curves into manifolds.

One thousand and one higher-order geometric flows of networks Convergence of elastic flows of curves into manifolds

Reference 1996

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:40.550495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39c52bc9-b61a-48e6-8996-0a7d96ce2be6 · outbound

This paper cites Existence and uniqueness of the motion by curvature of regular networks.

One thousand and one higher-order geometric flows of networks Existence and uniqueness of the motion by curvature of regular networks

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:39.511244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2934539c-08ac-49e9-825e-2f08b5b6e025 · outbound

This paper cites Embeddedness and graphicality of the elastic flow for complete curves.

One thousand and one higher-order geometric flows of networks Embeddedness and graphicality of the elastic flow for complete curves

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:40.141439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d51fa4e0-0dbf-45b2-af76-5bb364bb06d6 · outbound

This paper cites The Lojasiewicz-Simon inequality for the elastic flow.

One thousand and one higher-order geometric flows of networks The Lojasiewicz-Simon inequality for the elastic flow

Reference 5926

Resolution: unresolved; no resolver link, observed 2026-08-02T03:35:39.839267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.