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Paper Citation Record · LEDGER

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs

As of 18 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2501.00389.

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

pith.paper-citation-record.v1
2501.00389 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:02:46.914166Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:49:12.822463Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:49:13.059038Z

Reference resolution

17 of 17 outbound references displayed

  • verified exact9
  • verified fuzzy3
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f2b4e841-0d22-4819-8f2f-c3ba16349d79 · outbound

This paper cites Study of the behaviour of nesterov accelerated gradient in a non convex setting: the strongly quasar convex case.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Study of the behaviour of nesterov accelerated gradient in a non convex setting: the strongly quasar convex case

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T23:02:46.880173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:02:46.880173Z digest=sha256:c913b1f9361f1fabedae273546aa831efe3a7a6879fc3809f15674c84f85885b

Observation 1f107a8a-7e3e-461d-962e-001fd0d38659 · outbound

This paper cites an unresolved cited work.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:02:47.524278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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Observation 6f004696-e074-4a3a-914b-775f5dbea054 · outbound

This paper cites Provable non-accelerations of the heavy-ball method.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Provable non-accelerations of the heavy-ball method

Reference 1977

Resolution
unresolved
no resolver link, observed 2026-08-10T23:02:46.870133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:02:46.870133Z digest=sha256:9ed35e4ebe113ecf8efa68033c16ad57371e8c6427a2b913b8745f4dd05dda57

Observation c4100f90-9d2b-4d98-a236-a978c74ebcf0 · outbound

This paper cites Nesterov acceleration in benignly non-convex landscapes.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Nesterov acceleration in benignly non-convex landscapes

Reference 1984

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:02:47.191203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.874881Z digest=sha256:355ad41283a5ce6cf6790ed62d07239f8ec3a8cd9d2cc9cad1a1481fb394f126

Observation c3da5adb-0277-4fa4-8bb6-2d2deda79bec · outbound

This paper cites Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Slow motion of particle systems as a limit of a reaction-diffusion equation with half-Laplacian in dimension one

Reference 1986

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:02:47.314179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.864854Z digest=sha256:56ae970f8a11656d9b3574dbdf938536f0b905ca574727d0356f5b706333d4f1

Observation 3c94255d-5499-43c3-829d-870f9cdb26b0 · outbound

This paper cites Node classification for signed social networks using diffuse interface methods.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Node classification for signed social networks using diffuse interface methods

Reference 1992

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:02:47.571163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.886329Z digest=sha256:708483210d292b98de4886b36c8ab3fd1121ca8ea709f7f58cce437913618631

Observation ca28d2e7-c915-45b8-ad23-72e8590a9b72 · outbound

This paper cites Metastable dynamics for hyperbolic variations of the Allen-Cahn equation.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Metastable dynamics for hyperbolic variations of the Allen-Cahn equation

Reference 1993

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:02:47.342253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.858315Z digest=sha256:927bf1aafd123abf2c58e5facf6fd832fc74bb41f03f9e4c4723b815c7858bb1

Observation 9d4cb932-248a-4a4d-9260-ad9349897250 · outbound

This paper cites A qualitative difference between gradient flows of convex functions in finite- and infinite-dimensional Hilbert spaces.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs A qualitative difference between gradient flows of convex functions in finite- and infinite-dimensional Hilbert spaces

Reference 2004

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:02:46.971837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.908642Z digest=sha256:444bc836a576e98d1bd466b93a3d624556f1369917e97c934f6aa06c5ce3d511

Observation 4ffc012f-8f2c-47d3-8a35-b7f532f97f51 · outbound

This paper cites Models for information propagation on graphs.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Models for information propagation on graphs

Reference 2007

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:02:47.478928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.829335Z digest=sha256:254e1890dce9ebba9a280002509774ff7f1def502853d105559369afc6b88a36

Observation 3145c192-76cd-4e52-a31e-7a680080a900 · outbound

This paper cites Convex-concave splitting for the Allen-Cahn equation leads to $\varepsilon^2$-slow movement of interfaces.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Convex-concave splitting for the Allen-Cahn equation leads to $\varepsilon^2$-slow movement of interfaces

Reference 2010

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:02:47.372080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.851082Z digest=sha256:28b83c205a2fe47772844c5873d6392789069698afcfcd6fe58c137efddbd62b

Observation a76ce0a8-c3f6-4985-9524-50c5a47a98b4 · outbound

This paper cites [Ros92] Marty Ross.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs [Ros92] Marty Ross

Reference 2011

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:02:47.548329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.903536Z digest=sha256:c967b569545e3fbf2e3e1976ec56b7903bae55660fc5c6cad69884f0bc0f60e5

Observation 83d68f99-a007-4b9d-b451-a7b2927567b4 · outbound

This paper cites A variational perspective on the dissipative Hamiltonian structure of the Vlasov-Fokker-Planck equation.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs A variational perspective on the dissipative Hamiltonian structure of the Vlasov-Fokker-Planck equation

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-10T23:02:46.897821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:02:46.897821Z digest=sha256:8a492e4ef2cd732bd25a2dd52420215fcb3bd8588e9685b38060ed6e9970d62c

Observation 5cb338c6-7964-407c-9d9f-2f515aa27807 · outbound

This paper cites Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes

Reference 2020

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:02:47.503759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.822194Z digest=sha256:e3465e4f898b847b1147ee6859a03487ed1e96cf08b2d912474797dd209a99b4

Observation d5e0ef47-aea6-4890-bead-f1c9003d0e2b · outbound

This paper cites Convergence of stochastic gradient descent schemes for Lojasiewicz-landscapes.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Convergence of stochastic gradient descent schemes for Lojasiewicz-landscapes

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-10T23:02:46.844668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:02:46.844668Z digest=sha256:37018162112130c22a11a372d6cecb32a2365ebc4750f2f060124f5a514b21bc

Observation b3166cbe-e719-4179-91ba-3af6c9ec1a14 · outbound

This paper cites BDF schemes for accelerated gradient flows in projection-free approximation of nonconvex constrained variational minimization.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs BDF schemes for accelerated gradient flows in projection-free approximation of nonconvex constrained variational minimization

Reference 2022

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:02:47.452904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.834427Z digest=sha256:f38007e6abf8fd7c54ef1f4aeafb78cf438fa9b12540a5ba25b0b66719cd0219

Observation 9402e3a3-6835-42c9-aab7-c0071dd7ecd1 · outbound

This paper cites Finite element methods for the stretching and bending of thin structures with folding.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Finite element methods for the stretching and bending of thin structures with folding

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:02:47.589437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.816081Z digest=sha256:7860178e0b8811d38f896583c1b67bea0fc6ca6e3799b1f46563992108110228

Observation 352aab9f-1a86-487c-9872-94f1661e28f6 · outbound

This paper cites Accelerated gradient flows for large bending deformations of nonlinear plates.

Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs Accelerated gradient flows for large bending deformations of nonlinear plates

Reference 2024

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:02:47.425760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-10T23:02:46.839408Z digest=sha256:29033c6746568b608c7cdffdf5936022ef091513f616b31ead8401dadeea54a8

Pith citing papers

Observation e5492438-a811-4be9-b7c8-6486757cc1cb · inbound

Convex-concave splitting for the Allen-Cahn equation leads to $\varepsilon^2$-slow movement of interfaces cites this paper.

Convex-concave splitting for the Allen-Cahn equation leads to $\varepsilon^2$-slow movement of interfaces Momentum-based minimization of the Ginzburg-Landau functional on Euclidean spaces and graphs

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:49:13.064190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-08-15T18:49:12.822463Z digest=sha256:102040bbc9fad8ca49e692ef40b45862b94ac1eb30e52dd8706fd4166fdf952f