Paper Citation Record · LEDGER

Tight bounds of norms of Wasserstein metric matrix

As of 21 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.15326.

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

pith.paper-citation-record.v1
2506.15326 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:47:05.001701Z

measured 26 of 26 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 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

26 of 26 outbound references displayed

verified exact0
verified fuzzy12
unresolved14
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 73cc9014-1715-49b5-a734-0600e7b68cc6 · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.431866Z

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 acda505f-d41c-4111-b3e8-9b25258a849e · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.417664Z

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 903e04e2-cdc7-4a16-aeb5-95a4bf8a876d · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.401993Z

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 48f4625e-6387-4e31-8c30-a9bae42a24d4 · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.387031Z

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 fbbb6c6c-e501-4d7f-8d6b-27fc68b0e76d · outbound

This paper cites Math., 37 (2019), 165-191.

Tight bounds of norms of Wasserstein metric matrix Math., 37 (2019), 165-191

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.371862Z

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 d3c378f1-250f-4c46-b97f-c7a767ce519d · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.356544Z

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 8840d185-842a-4990-af7d-8ac50eebfb25 · outbound

This paper cites T., Numerical range of Moore-Penrose inverse matrices , Mathematics, 8 (2020), 830.

Tight bounds of norms of Wasserstein metric matrix T., Numerical range of Moore-Penrose inverse matrices , Mathematics, 8 (2020), 830

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.341389Z

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 d4ae7288-aa2c-4fb2-84ff-1305905a2dd3 · outbound

This paper cites Neu- ral Inf.

Tight bounds of norms of Wasserstein metric matrix Neu- ral Inf

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.326701Z

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 a799cf9d-5200-4f31-a32a-3e506be256c8 · outbound

This paper cites Application of the Wasserstein metric to seismic signals.

Tight bounds of norms of Wasserstein metric matrix Application of the Wasserstein metric to seismic signals

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-15T19:47:04.923558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77de4222-26f4-4738-8c2a-ae8cf5bc828c · outbound

This paper cites E.; Rao, D.

Tight bounds of norms of Wasserstein metric matrix E.; Rao, D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.311812Z

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 3f9aa512-e073-4069-9289-bc3951f6aae0 · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.296877Z

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 f4a21b9a-f587-4850-b90a-ce9a48603552 · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.281551Z

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 bca16f46-435e-42c5-b40e-05d912216a48 · outbound

This paper cites A.; Johnson, C.

Tight bounds of norms of Wasserstein metric matrix A.; Johnson, C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.267437Z

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 008ab31d-c1eb-4b63-8c31-3273cf09434a · outbound

This paper cites A.; Johnson, C.

Tight bounds of norms of Wasserstein metric matrix A.; Johnson, C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.253255Z

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 492fcb41-11ee-416c-9681-823ea5491e1b · outbound

This paper cites R.; Rohde, G.

Tight bounds of norms of Wasserstein metric matrix R.; Rohde, G

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.237920Z

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 1f8775ee-9903-49c9-96a3-9eb9fade08d1 · outbound

This paper cites R.; Thorpe, M.; Slepcev, D.; Rohde, G.

Tight bounds of norms of Wasserstein metric matrix R.; Thorpe, M.; Slepcev, D.; Rohde, G

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.223232Z

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 c6ab40c6-752b-4d12-a38c-5f0ac9f74b15 · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.206826Z

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 e4e8a937-0c15-4d93-bdaa-43327a100862 · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.191110Z

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 7b3e5bb7-9b01-47bc-ac14-75f51ea380da · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.174622Z

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 c1caba73-ec1a-446f-b462-7538db15cf09 · outbound

This paper cites C.; Tsatsomeros, M.

Tight bounds of norms of Wasserstein metric matrix C.; Tsatsomeros, M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.159081Z

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 f58c55b8-abe2-4e8b-8677-55b89d40781f · outbound

This paper cites J., The earth mover’s distance as a metric for image retrieval , J.

Tight bounds of norms of Wasserstein metric matrix J., The earth mover’s distance as a metric for image retrieval , J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.142571Z

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 dcc3b5fa-e373-44a1-8170-52e3d0612e66 · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.123083Z

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 613f89f0-06b0-4b7d-bbec-c6ade71bc774 · outbound

This paper cites II , Proc.

Tight bounds of norms of Wasserstein metric matrix II , Proc

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.106032Z

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 a9bf4ce9-dd5d-498e-a67b-1be6bfd3e2a2 · outbound

This paper cites Graph., 34 (2015), 1-11.

Tight bounds of norms of Wasserstein metric matrix Graph., 34 (2015), 1-11

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T19:47:05.088736Z

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 afec06cb-0caa-4d45-9a2e-dbee4af5fe27 · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.073135Z

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 a8e3176c-40a0-4a7a-b1db-db9c2603ceb0 · outbound

This paper cites an unresolved cited work.

Tight bounds of norms of Wasserstein metric matrix Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-15T19:47:05.056847Z

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

No inbound Pith citation observations are available.