Paper Citation Record · LEDGER

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics

As of 21 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2602.22977.

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

pith.paper-citation-record.v1
2602.22977 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T20:36:40.639017Z

measured 13 of 13 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

13 of 13 outbound references displayed

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verified fuzzy0
unresolved13
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 72b4da81-8da5-4a0f-976a-8803f5e0c9d7 · outbound

This paper cites Here we follow the formulation of 31,43 to model the elas- tic filament.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Here we follow the formulation of 31,43 to model the elas- tic filament

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.570745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f01cea4-d79b-4e6c-94fc-55690c764509 · outbound

This paper cites The unit tangent and normal vectors are denoted by T=∂ sxandN, respectively.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics The unit tangent and normal vectors are denoted by T=∂ sxandN, respectively

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.576433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa9471ee-d971-4dc7-90ff-88aff86dac3f · outbound

This paper cites an unresolved cited work.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.581809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be71c2b8-4252-4ba8-a281-b7b72906bd85 · outbound

This paper cites To definecand determine its kinematics, we first intro- duce a cumulative particle numberN(σ, t) on the un- stretched material coordinateσ.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics To definecand determine its kinematics, we first intro- duce a cumulative particle numberN(σ, t) on the un- stretched material coordinateσ

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.587279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b54ad690-7e97-4b4d-ac2f-e4e1878144aa · outbound

This paper cites an unresolved cited work.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.592794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6df002c-fc16-4b1e-8664-4e2eb8690bca · outbound

This paper cites an unresolved cited work.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.599612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2cc9b98-7c1f-43e1-ba0d-055ef86cb7a7 · outbound

This paper cites Gazzo- lalab/pyelastica,.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Gazzo- lalab/pyelastica,

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.605111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ee7c78d-bd26-4b50-b8cb-b2991b7bc9a7 · outbound

This paper cites an unresolved cited work.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.617016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e29e2e15-ff29-4155-9a61-82c5d38bab14 · outbound

This paper cites an unresolved cited work.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.622530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80a78835-c6e4-40b9-aca2-41517c2093f9 · outbound

This paper cites an unresolved cited work.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.628587Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd08e597-7ed8-4363-a814-1eb6c96ef48f · outbound

This paper cites an unresolved cited work.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.634096Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18dfe92d-6e50-46bd-af39-5b367650cb98 · outbound

This paper cites Figure 3 α= 1024, β= 20, ε= 0.05, κ0 = 3, C= 0.43, m= 1 spatial resolutionN x = 256, Fourier modeN mode = 64.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Figure 3 α= 1024, β= 20, ε= 0.05, κ0 = 3, C= 0.43, m= 1 spatial resolutionN x = 256, Fourier modeN mode = 64

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.639017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b65ab011-edaf-40d2-bdf6-7081df73faa7 · outbound

This paper cites Self-organized dynamics and emergent shape spaces of active isotropic fluid surfaces.

Coupling between Phase Separation and Geometry on a Closed Elastic Curve: Free Energy Minimization and Dynamics Self-organized dynamics and emergent shape spaces of active isotropic fluid surfaces

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-02T20:36:40.611136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.