Paper Citation Record · LEDGER

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow

As of 17 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2504.20400.

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

pith.paper-citation-record.v1
2504.20400 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:41:24.580518Z

measured 37 of 37 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 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

37 of 37 outbound references displayed

verified exact2
verified fuzzy17
unresolved18
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 923ceb8c-e73c-4c22-8e87-d0a9b75d4c55 · outbound

This paper cites urich. Birkh\.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow urich. Birkh\

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.290296Z

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.

Observation ac4b14e0-91a3-4f08-a085-f2c8407d0556 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:25.276248Z

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.

Observation 8a6dfe63-afc4-4c7b-a603-047f057f834f · outbound

This paper cites Amari and H.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Amari and H

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.262272Z

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.

Observation 3826da08-bf0a-4101-b2f2-b5b16eb6c71b · outbound

This paper cites Bakry and M.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Bakry and M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.248514Z

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.

Observation 38e1f282-752d-43b9-8b7d-55016dc7d384 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:25.235239Z

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.

Observation 889780c9-580a-4238-987e-32f7d32bb8ab · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:25.221850Z

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.

Observation 47b04565-beac-4fd4-a853-5aed55a6b5df · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T05:41:24.439460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2dfb7326-9ef1-453b-bec0-0e4bab083a23 · outbound

This paper cites Gradient Flows for Sampling: Mean-Field Models, Gaussian Approximations and Affine Invariance.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Gradient Flows for Sampling: Mean-Field Models, Gaussian Approximations and Affine Invariance

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-16T05:41:24.444001Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f02cbd2-cc9e-4eec-bd25-61b1f04c5960 · outbound

This paper cites Daneri and G.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Daneri and G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.208045Z

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.

Observation cf706f6e-da45-412b-92f9-8dcc86e61331 · outbound

This paper cites Floerchinger and M.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Floerchinger and M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.194491Z

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.

Observation 09ff90c2-37f0-4b51-8c87-58b48415eae2 · outbound

This paper cites Hellmann.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Hellmann

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.181007Z

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.

Observation 47f7092a-60d8-491e-9f6a-4869c295268b · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:25.167693Z

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.

Observation 9acb0b19-9806-43aa-9bb7-f6a17ee634b1 · outbound

This paper cites Linear Convergence of Gradient and Proximal-Gradient Methods Under the Polyak-\L{}ojasiewicz Condition.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Linear Convergence of Gradient and Proximal-Gradient Methods Under the Polyak-\L{}ojasiewicz Condition

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-16T05:41:24.468785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 13123e9b-21aa-4eb3-ae9d-5e5c04a32874 · outbound

This paper cites Evolutionary Variational Inequalities on the Hellinger-Kantorovich and Spherical Hellinger-Kantorovich spaces.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Evolutionary Variational Inequalities on the Hellinger-Kantorovich and Spherical Hellinger-Kantorovich spaces

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:41:24.659482Z

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.

Observation 0b8f4457-7d58-48d7-b47d-404f9a3e2d1a · outbound

This paper cites Variational inference via Wasserstein gradient flows.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Variational inference via Wasserstein gradient flows

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T05:41:24.477973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 06204f41-3d9c-476b-9bd9-6ec2bc3068af · outbound

This paper cites Liero and A.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Liero and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.154556Z

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.

Observation d848da86-a7d3-4f8b-8a0b-3196418b1d52 · outbound

This paper cites Liero, A.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Liero, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.140646Z

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.

Observation 7db2d45c-67ae-4fd5-81d4-0fddd614a888 · outbound

This paper cites Liero, A.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Liero, A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.126685Z

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.

Observation 51cb58ad-c9b5-4f69-8245-bca97c9d12e9 · outbound

This paper cites Liero, A.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Liero, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.112507Z

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.

Observation 50641b3d-b442-42c3-be5e-f04a4387b7f2 · outbound

This paper cites Maas and A.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Maas and A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.098669Z

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.

Observation 74f1b088-d5e4-48b4-acfb-c63cb0afb6a9 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:25.084840Z

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.

Observation 7686a04a-46f6-4328-a0e3-d44b13a62137 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:25.071059Z

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.

Observation 821ff9f6-6b00-4cd8-8a25-99876435f842 · outbound

This paper cites Hellinger-Kantorovich Gradient Flows: Global Exponential Decay of Entropy Functionals.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Hellinger-Kantorovich Gradient Flows: Global Exponential Decay of Entropy Functionals

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:41:24.624141Z

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.

Observation 02ff751f-9906-4385-ab11-b2d6de7a2c27 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:25.056828Z

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.

Observation 1e1359d7-dadb-4c65-8a7c-bdb0ca47154f · outbound

This paper cites Mielke, G.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Mielke, G

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.042718Z

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.

Observation 084fe518-9418-4e51-92df-5a76e0d3787d · outbound

This paper cites Opper and C.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Opper and C

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:25.027594Z

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.

Observation fe99bce5-dbda-4cb6-833f-303208c3e3c4 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:25.012448Z

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.

Observation 9fe0f1ad-59f9-4ad9-b6f3-ab412936a5af · outbound

This paper cites Otto and C.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Otto and C

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:24.997622Z

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.

Observation 338dcc28-3a16-42ed-80f8-a441fae27290 · outbound

This paper cites Otto and M.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Otto and M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:24.983585Z

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.

Observation 86748698-0f7d-4e9c-a78a-f36c031f93d7 · outbound

This paper cites Pidstrigach and S.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Pidstrigach and S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:24.969366Z

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.

Observation ad8ada9f-35fc-43a5-8eb6-f01cde7b1690 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:24.953933Z

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.

Observation 44cfc20f-7574-4de0-aa75-9bafb146a54e · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:24.937172Z

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.

Observation cc34f486-74fa-4ee1-b3d3-0e640bb65936 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:24.922094Z

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.

Observation d25460d1-9856-4b10-af6e-d94299356d63 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:24.906420Z

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.

Observation bf869112-2321-4f24-9cf0-c0a47f0912e5 · outbound

This paper cites Wibisono.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Wibisono

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:41:24.889788Z

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.

Observation eb53fcc5-c34a-4c46-9f74-ba0713aa25c0 · outbound

This paper cites an unresolved cited work.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:41:24.873903Z

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.

Observation dafcd020-1a37-4501-81cf-aa5bea225bda · outbound

This paper cites write newline.

Evolution of Gaussians in the Hellinger-Kantorovich-Boltzmann gradient flow write newline

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-16T05:41:24.580518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.