Paper Citation Record · LEDGER

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit

As of 9 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2605.25453.

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

pith.paper-citation-record.v1
2605.25453 v2

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T19:48:39.523588Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

38 of 38 outbound references displayed

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unresolved36
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Outbound references

Observation 72b47f9c-e589-460c-8a98-d4c32e9f116d · outbound

This paper cites Bayraktar and G.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Bayraktar and G

Reference 1

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Observation bdc43725-f028-4634-aad6-95014c8081f0 · outbound

This paper cites Bonneel, J.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Bonneel, J

Reference 2

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Observation d07f60b2-6844-427d-b33c-eb56c2fcbed5 · outbound

This paper cites Bonnotte,Unidimensional and Evolution Methods for Optimal Transportation, Ph.D.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Bonnotte,Unidimensional and Evolution Methods for Optimal Transportation, Ph.D

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 635d00d6-afa2-4d6a-82dd-14d1fab8804a · outbound

This paper cites an unresolved cited work.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation f0294869-142a-4f54-ab28-c0a8248b8247 · outbound

This paper cites Carrapatoso, J.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Carrapatoso, J

Reference 5

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Observation 3d507bbf-436a-4ab0-bb2b-724373b19c9c · outbound

This paper cites Carlier, A.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Carlier, A

Reference 6

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Source-reported events for the cited work

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Observation a0965ff7-8762-47b4-8263-df37bd8b3576 · outbound

This paper cites Cavalletti and A.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Cavalletti and A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation a3a04759-d036-40c4-b57e-bb51988ebe28 · outbound

This paper cites an unresolved cited work.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation da094ee2-0992-48c4-9708-cbba148de716 · outbound

This paper cites an unresolved cited work.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 2e112afe-5e7b-49f7-97c0-51577a8454c6 · outbound

This paper cites an unresolved cited work.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 559328b3-92e0-435a-93ab-972e73b2567c · outbound

This paper cites an unresolved cited work.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 912c24d5-3f99-4b8c-8da7-f4e7ca8aae0f · outbound

This paper cites Cozzi and F.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Cozzi and F

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 2a6af8ff-26f0-496a-b3a7-d408d9c8f687 · outbound

This paper cites Dacorogna,Direct Methods in the Calculus of Variations, 2nd ed., Applied Mathematical Sciences, vol.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Dacorogna,Direct Methods in the Calculus of Variations, 2nd ed., Applied Mathematical Sciences, vol

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation d8e4929c-19cd-4375-ad7e-77f67f87354e · outbound

This paper cites Delalande and Q.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Delalande and Q

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation e3c810dc-cbc7-4a3d-b037-fa944f35a23f · outbound

This paper cites Eldan, Thin shell implies spectral gap up to polylog via a stochastic localization scheme, Geom.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Eldan, Thin shell implies spectral gap up to polylog via a stochastic localization scheme, Geom

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 2a1c804c-8308-4836-ad8d-22ffe78af77b · outbound

This paper cites Fathi, E.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Fathi, E

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 1bf9d48f-d4ae-4268-83ad-6e314181b2df · outbound

This paper cites Fathi, N.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Fathi, N

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 04f6ac55-f755-450c-bff0-8fbd58207e01 · outbound

This paper cites Figalli, F.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Figalli, F

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 3eb70692-dbe4-4025-93c0-d2014c04c114 · outbound

This paper cites Friesecke, R.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Friesecke, R

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Unavailable: canonical work link unavailable.

Observation 9679231a-3542-4056-a6ae-1eda25084f8a · outbound

This paper cites Higuchi, Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter groupSO(N,1),J.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Higuchi, Symmetric tensor spherical harmonics on the N-sphere and their application to the de Sitter groupSO(N,1),J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation edcb0b44-d104-45e1-ab28-1bc716d2703b · outbound

This paper cites an unresolved cited work.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 8f2f2b3b-f29d-4e83-a49c-cd904d78250f · outbound

This paper cites Janson,Gaussian Hilbert Spaces, Cambridge Tracts in Mathematics, vol.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Janson,Gaussian Hilbert Spaces, Cambridge Tracts in Mathematics, vol

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation bc5f9019-6853-4a89-a863-3998aaacb510 · outbound

This paper cites Kannan, L.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Kannan, L

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 4955827b-7a39-4aa6-9ec9-37d344f479ed · outbound

This paper cites Sliced optimal transport: is it a suitable replacement?.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Sliced optimal transport: is it a suitable replacement?

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-06-29T19:53:55.686791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 326e7bf5-0271-4ef0-b049-6caab4392637 · outbound

This paper cites Klartag and J.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Klartag and J

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 81af6ebe-4e47-4ded-8f3d-51824d2d9fec · outbound

This paper cites Kolouri, S.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Kolouri, S

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation b899c2f4-32b1-4884-8482-3452698e43fd · outbound

This paper cites Kolouri, K.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Kolouri, K

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ab19b8e-0697-40ff-b6e9-098663794bac · outbound

This paper cites an unresolved cited work.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation a6cf7e93-26df-41b8-b7fb-d881c573e88f · outbound

This paper cites an unresolved cited work.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Unavailable: canonical work link unavailable.

Observation 8f925da9-40bc-435f-b620-e63c39d37e43 · outbound

This paper cites M´ erigot, A.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit M´ erigot, A

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 08b592c8-0d47-432e-bb28-7ad4bf1dd343 · outbound

This paper cites Nadjahi, A.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Nadjahi, A

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Unavailable: canonical work link unavailable.

Observation b631898b-0a7a-406d-ab7c-90203607ff3c · outbound

This paper cites Nadjahi,Sliced-Wasserstein Distance for Large-Scale Machine Learning: Theory, Method- ology and Extensions, Ph.D.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Nadjahi,Sliced-Wasserstein Distance for Large-Scale Machine Learning: Theory, Method- ology and Extensions, Ph.D

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Unavailable: canonical work link unavailable.

Observation 038ed2b9-a1c6-4e12-9aa7-669f6894c53f · outbound

This paper cites Nguyen, N.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Nguyen, N

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Unavailable: canonical work link unavailable.

Observation dddb8ea6-7c12-4d8a-8ffb-0e8d13c0bdfa · outbound

This paper cites Nualart,The Malliavin Calculus and Related Topics, 2nd ed., Probability and Its Applications, Springer-Verlag, Berlin, 2006.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Nualart,The Malliavin Calculus and Related Topics, 2nd ed., Probability and Its Applications, Springer-Verlag, Berlin, 2006

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Unavailable: canonical work link unavailable.

Observation d6a273e4-0c01-46b0-8033-1627833e6149 · outbound

This paper cites Park and D.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Park and D

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Observation 036e2fb8-5c83-4b26-bd17-b0ccd33610f0 · outbound

This paper cites Rabin, G.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Rabin, G

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Unavailable: canonical work link unavailable.

Observation 676393f3-2199-4290-9ad7-28a98f17745a · outbound

This paper cites Santambrogio,Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling, Progress in Nonlinear Differential Equations and Their Applications, vol.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Santambrogio,Optimal Transport for Applied Mathematicians: Calculus of Variations, PDEs, and Modeling, Progress in Nonlinear Differential Equations and Their Applications, vol

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Unavailable: canonical work link unavailable.

Observation e8cd36b3-6ded-4275-958c-e2ea3d15f14a · outbound

This paper cites Villani,Optimal Transport: Old and New, Grundlehren der mathematischen Wis- senschaften, vol.

Rigidity and Quantitative Stability of the Sliced Wasserstein Deficit Villani,Optimal Transport: Old and New, Grundlehren der mathematischen Wis- senschaften, vol

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-29T19:48:39.523588Z

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Pith citing papers

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