Paper Citation Record · LEDGER

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions

As of 14 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 3 inbound Pith citation observations for arXiv:2507.12385.

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

pith.paper-citation-record.v1
2507.12385 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:01:27.614746Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T01:09:06.635775Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T06:17:41.251155Z

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy8
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ad389282-18c5-4c45-ac7e-6250c0d613a9 · outbound

This paper cites Global well-posedness of master equa- tions for deterministic displacement convex potential mean field games.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Global well-posedness of master equa- tions for deterministic displacement convex potential mean field games

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:28.560292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5366c8c0-ac8e-473b-a483-564c826b9624 · outbound

This paper cites Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Weighted ultrafast diffusion equations: from well-posedness to long-time behaviour

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:27.412106Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba5927e3-0dbc-4a33-bcbb-914ce98bef6e · outbound

This paper cites A gradient flow approach to quantization of measures.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions A gradient flow approach to quantization of measures

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:29.416909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 02d2782e-a474-4a4b-ba49-b364d1e2a9de · outbound

This paper cites Improved Particle Approximation Error for Mean Field Neural Networks.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Improved Particle Approximation Error for Mean Field Neural Networks

Reference 27

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T17:01:27.747042Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation db0fc891-1619-4682-8b1a-a825a4514902 · outbound

This paper cites Some estimates of the transition density of a nondegenerate diffusion Markov process.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Some estimates of the transition density of a nondegenerate diffusion Markov process

Reference 94

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:28.299930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d600f683-5adf-47ec-a510-4bb27c9b9985 · outbound

This paper cites Long-time behaviour and phase transitions for the McKean– Vlasov equation on the torus.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Long-time behaviour and phase transitions for the McKean– Vlasov equation on the torus

Reference 691

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:29.190347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7b4f2bb5-6529-4b77-83c4-e0e938bfb075 · outbound

This paper cites Neural Wasser- stein Gradient Flows for Discrepancies with Riesz Kernels.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Neural Wasser- stein Gradient Flows for Discrepancies with Riesz Kernels

Reference 2005

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:26.785542Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1c82d8c-f83f-43fc-a9af-0919db4a1d43 · outbound

This paper cites Quantita- tive uniform stability of the iterative proportional fitting procedure.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Quantita- tive uniform stability of the iterative proportional fitting procedure

Reference 2007

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:28.986955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a7a51a50-a558-4141-9e99-1699b1b5cb36 · outbound

This paper cites Sharp explicit lower bounds of heat kernels.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Sharp explicit lower bounds of heat kernels

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:28.172139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1dd58fba-6e69-4e17-97f3-5129927a14b9 · outbound

This paper cites Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Sharp uniform-in-time mean-field convergence for singular periodic Riesz flows

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:27.068523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5342c23b-152e-421c-a4ad-1ab213c4526f · outbound

This paper cites Sample complexity of Sinkhorn divergences.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Sample complexity of Sinkhorn divergences

Reference 2021

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:28.788011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a384ee40-e8ef-4702-86aa-eac557752c19 · outbound

This paper cites Statistical optimal transport.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions Statistical optimal transport

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-06T17:01:26.976504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f7048b63-f4a3-4c35-b494-a4af0899715c · outbound

This paper cites The Wasserstein gra- dient flow of the Fisher information and the quantum drift-diffusion equation.

Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions The Wasserstein gra- dient flow of the Fisher information and the quantum drift-diffusion equation

Reference 2801

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T17:01:28.409991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

Observation 62a776e2-46ee-477e-a903-550e6c1dbb9b · inbound

Convergence Rates for Distribution Matching with Sliced Optimal Transport cites this paper.

Convergence Rates for Distribution Matching with Sliced Optimal Transport Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T01:09:06.635775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0932170-9b8a-4f06-871a-58b086712796 · inbound

From Saddle Points Toward Global Minima: A Newton-Type Method on Wasserstein Space cites this paper.

From Saddle Points Toward Global Minima: A Newton-Type Method on Wasserstein Space Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-20T09:53:15.905387Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d9237510-ca06-4272-ae52-7acbc7c0d77a · inbound

Born Discrete, Made Smooth: Variational Formulation of Shallow Neural Networks cites this paper.

Born Discrete, Made Smooth: Variational Formulation of Shallow Neural Networks Convergence of drift-diffusion PDEs arising as Wasserstein gradient flows of convex functions

Reference 6

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T06:17:41.252565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.