Paper Citation Record · LEDGER

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case

As of 21 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 3 inbound Pith citation observations for arXiv:2506.23981.

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

pith.paper-citation-record.v1
2506.23981 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:33:25.582681Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:53:16.149490Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T02:42:56.319213Z

Reference resolution

28 of 28 outbound references displayed

verified exact0
verified fuzzy22
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ac230dbb-18ba-45d5-8ceb-49fe1c5cfa98 · outbound

This paper cites Alfonsi, J.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Alfonsi, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:31.604098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 576ab313-c065-43f7-86a6-17de69c73dde · outbound

This paper cites Alfonsi, J.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Alfonsi, J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:31.392791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dde6d7dc-b9da-48e5-bada-4627a61060ef · outbound

This paper cites Alfonsi, J.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Alfonsi, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:31.267987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 769e8e14-f057-46c4-a2d6-c3278937fad0 · outbound

This paper cites Alfonsi and B.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Alfonsi and B

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:31.118455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation defa97b7-c592-43c7-bf91-570597131fd7 · outbound

This paper cites Alfonsi and B.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Alfonsi and B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:30.937719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c3646998-a984-4b69-a5e7-efc37c917087 · outbound

This paper cites Alfonsi, A.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Alfonsi, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:30.589799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4d1b0cb1-2672-482c-9a6c-32b8971ca8c1 · outbound

This paper cites Alibert, G.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Alibert, G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:30.245681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 06500a98-ae8d-4e05-9719-06476e6fc32c · outbound

This paper cites Ambrosio, N.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Ambrosio, N

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:29.919767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 93d3ebd2-ef8b-4734-846a-445f9a1f8adb · outbound

This paper cites Backhoff, M.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Backhoff, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:29.614293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f15c6b55-8dd0-48e1-ac30-42a5010bdb4b · outbound

This paper cites Backhoff, M.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Backhoff, M

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:29.324597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d6fd26f7-833b-4658-a5c4-81cfeca871ad · outbound

This paper cites Backhoff-Veraguas and G.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Backhoff-Veraguas and G

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:29.073207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5b4a8de8-ff45-49d0-a943-53fdbd257977 · outbound

This paper cites Backhoff-Veraguas and G.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Backhoff-Veraguas and G

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T21:33:23.927737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 161c56f5-d8b8-4fbb-b7ad-c814c4b56321 · outbound

This paper cites Beiglb ¨ock, B.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Beiglb ¨ock, B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:28.854747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 565ce16d-5c7b-41df-a4eb-e312bdff9211 · outbound

This paper cites Bhatia, T.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Bhatia, T

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:28.647947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1093c1d2-8ab5-45d8-a54c-3f69158ebd59 · outbound

This paper cites Carlier, T.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Carlier, T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:28.376213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a27a77cb-055a-49dd-9c48-74e4971c3b64 · outbound

This paper cites an unresolved cited work.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:33:28.136799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c6c0cbd4-846d-4651-8898-f80c3a0dfdc6 · outbound

This paper cites Fathi, N.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Fathi, N

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:27.886152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6742bb05-957c-4378-b613-21c7946b750f · outbound

This paper cites an unresolved cited work.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:33:27.661924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6f07c92e-1278-4867-a3fc-25b44a701ed3 · outbound

This paper cites Gozlan and N.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Gozlan and N

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:27.444380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c1665471-c0ba-47da-8965-30bdc1777354 · outbound

This paper cites Gozlan, C.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Gozlan, C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:27.239626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 10e0e3a3-220c-4a74-9246-abdb50a5f43c · outbound

This paper cites Gozlan, C.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Gozlan, C

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:26.985555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6cc95b4d-b068-4dd3-a51a-d707ddf67006 · outbound

This paper cites Jourdain, W.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Jourdain, W

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:26.798921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 577f4723-336b-4366-b707-4cdd190e3d49 · outbound

This paper cites Jourdain and G.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Jourdain and G

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:26.567368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3d8ae246-a010-40ce-a831-63762636b50c · outbound

This paper cites Statistical inference of convex order by Wasserstein projection.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Statistical inference of convex order by Wasserstein projection

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T21:33:25.166623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 319c0b50-d9d3-4f5a-a6df-315000c5e4ad · outbound

This paper cites Kim and Y.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Kim and Y

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:26.411057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5f1d15fb-8656-4675-866a-7765486cdc2e · outbound

This paper cites Olkin and F.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Olkin and F

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:33:26.207459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a1a20ff3-5e34-47f9-bb20-508f12ee8cb5 · outbound

This paper cites an unresolved cited work.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:33:25.975658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5802625a-4195-43b3-8ec7-a484fdf6e6a4 · outbound

This paper cites an unresolved cited work.

Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:33:25.841969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 4c6a6a65-987f-4f60-acfb-dccae47f04b4 · inbound

Stability of Wasserstein projections in convex order via metric extrapolation cites this paper.

Stability of Wasserstein projections in convex order via metric extrapolation Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-19T02:42:56.322880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c3c6bf0b-e1ce-401a-9e5a-fee1da92f3a9 · inbound

On the quadratic barycentric transport problem cites this paper.

On the quadratic barycentric transport problem Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-05T05:53:16.149490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8b1184d-6dd1-4866-a91b-eb15ec98522a · inbound

A Brenier-Strassen Theorem on CAT(kappa) Spaces cites this paper.

A Brenier-Strassen Theorem on CAT(kappa) Spaces Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T11:14:47.799751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.