Paper Citation Record · LEDGER

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2506.01279.

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

pith.paper-citation-record.v1
2506.01279 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:00:39.944580Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

30 of 30 outbound references displayed

verified exact1
verified fuzzy12
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c7ed2551-45a7-44d2-b802-4089112902f3 · outbound

This paper cites Ambrosio, N.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Ambrosio, N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:45.426256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 58e2aa1b-85ca-41a5-befe-2666bc1134cf · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:45.270923Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9a0c5d68-6a3d-4d70-a3d3-997eed9d2a4a · outbound

This paper cites Benamou, Y.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Benamou, Y

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:45.097330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4b441604-ced6-456c-93e1-480ee441d443 · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:44.933772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a5a1f06b-2d0a-498d-81ae-ed735928a40a · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:44.749208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b90893ed-30dd-4efb-a985-fc7ea0c3e259 · outbound

This paper cites Erbar, K.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Erbar, K

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:44.556152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 91642a7b-68f1-4bf0-b2df-1b43d6f17f66 · outbound

This paper cites Jordan, D.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Jordan, D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:44.399884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a8d57fe7-7495-4411-bf36-7ba60b61e48a · outbound

This paper cites Kantorovich, On the translocation of masses.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Kantorovich, On the translocation of masses

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:44.257228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c33c00ed-9400-42b4-9224-bae28b95f1b9 · outbound

This paper cites Kantorovich, G.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Kantorovich, G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:44.040058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8c683789-5c6e-4da3-9f46-a88c031ecca0 · outbound

This paper cites Kotschwar, L.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Kotschwar, L

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:43.852260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2d51d3b0-7d69-4915-bf35-aa2c132ccd99 · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:43.682645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8e052f9f-9873-4af8-b30b-1b7b63a74536 · outbound

This paper cites Langevin deformation for R\'enyi entropy on Wasserstein space over Riemannian manifolds.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Langevin deformation for R\'enyi entropy on Wasserstein space over Riemannian manifolds

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:00:40.101688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 63e65140-0215-4492-a5bb-52a93e2eb36c · outbound

This paper cites Li, X.-D.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Li, X.-D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:43.399706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 75dea4e2-4c75-4658-b1ea-7459fc4d843e · outbound

This paper cites Li, X.-D.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Li, X.-D

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:43.108660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b87ae73e-93fb-44b2-a3ca-9fbc340170dd · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:42.868591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1f2b0161-71e2-41a6-a337-627276505839 · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:42.609272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fdb29f89-3cad-4d47-80c7-066e16d3d6ac · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:42.441364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 36dfff6e-a215-4149-a058-a16240aae305 · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:42.215932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d8868d4e-89fa-4224-8f82-5f2cf3bcffb5 · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:41.965552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1c2b658c-a1e4-46d4-8a24-563daa90fa86 · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:41.769662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cfa15cf4-b17c-4f56-a9a8-5fc213d67dae · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:41.529556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 151e311a-695b-45fb-9ea3-33bff33a2359 · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:41.358579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9aa97119-6ffe-4ad4-84d6-63df45843b30 · outbound

This paper cites Perelman.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Perelman

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:41.135854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fc4138eb-22f8-4dc0-940d-cbb7efa076b8 · outbound

This paper cites Sideris, B.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Sideris, B

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:40.979674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4adb0875-4717-4a6d-9f7c-af4cfa7b3152 · outbound

This paper cites von Renesse, K.-T.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds von Renesse, K.-T

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:00:40.798466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 187b6af7-196b-40f7-be59-8db8ac02663f · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:40.628724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 89885e2b-2017-4acd-8212-707424b2055f · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:40.480115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4a3c8645-db6c-4ad7-adf8-cfd94ca102ad · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:40.369215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d55f99f1-a317-4b85-96cf-248c4f64ffca · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:00:40.242934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ceb6f85a-92a0-41bb-a211-2fe21636aebd · outbound

This paper cites an unresolved cited work.

$W$-entropy formulas and Langevin deformation on the $L^q$-Wasserstein space over Riemannian manifolds Unresolved cited work

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T12:00:39.367320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.