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Paper Citation Record · LEDGER

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

As of 12 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations 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 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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 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.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.914166Z digest=sha256:5b1bbfbd6ee3e46aa794e9a8fe1ca1ec7b68616fc7e1166bf11d9bc61a6803c5

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=sha256:28b1697bf3483ef5b4d06d1fde8fcb29b2364a8577531c41a2edf2db5c2583ae

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.874881Z digest=sha256:7baaf02f8b4451e0be3aaf80d5a9c22e89bb5593a047a7d34cfd8330a916b49f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.864854Z digest=sha256:abfeee90e6f0514c46e4f4c90c13768e480dcc000cfaa6b45d17da1753a0c0e2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.886329Z digest=sha256:dedd0a5a5d8d944900285cd5027065d98da10ee0561592258c93fcc85b6b60a9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.858315Z digest=sha256:d6fae875fae42a943e3b1ef50eea13d9cdcf7ffea2786a1917a327320fd3aabf

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.908642Z digest=sha256:637235859fb9fe0b6d2efab868821975dfd91a4e2733e7f2b2e8de30cafedd63

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.829335Z digest=sha256:9213cdc0278e004acbec71b9cb0a7a80a6f6927bf96ef20a7bb25acb481caaac

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.851082Z digest=sha256:a6d6146c820b6191c261b24f4913c772e770212b4a8bfbef9f561cba7f9b44ac

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.903536Z digest=sha256:fcead442216e39eae4ce472da6f0de828900a7c3ad13509e43340ba64f08d5f6

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:d0e79453832b5f73ef1df1b259897bf7e838afd1c8ea8e1f25667ba11d192300

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.822194Z digest=sha256:f08c9fed89a84d222a9af0ca2a2263b308ab61383367a19ef9826b7eb00d625e

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.

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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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.834427Z digest=sha256:93fba8df779728c7bc2df31b536bbd88f840f8eee9903950262aaeaf14072c91

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:02:46.816081Z digest=sha256:f1639e66201ff7a17e7f62dd103a1bf5264bb370c689794d68e6216eccce6cc8

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 2026-08-12T06:34:41.77262+00:00.

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Pith citing papers

No inbound Pith citation observations are available.