Paper Citation Record · LEDGER

Quantization-based Bounds on the Wasserstein Metric

As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2506.00976.

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

pith.paper-citation-record.v1
2506.00976 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:04:15.649766Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

27 of 27 outbound references displayed

verified exact4
verified fuzzy2
unresolved15
parse uncertain1
malformed identifier1
metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d56b77f1-423a-4e45-a795-796019a7a3f7 · outbound

This paper cites Lemma C.1.Let µ, νmeasures with set of admissible couplings Π(µ,ν) , the trivial coupling π⊗ , and ˜µand ˜νthe respective coarsened measures.

Quantization-based Bounds on the Wasserstein Metric Lemma C.1.Let µ, νmeasures with set of admissible couplings Π(µ,ν) , the trivial coupling π⊗ , and ˜µand ˜νthe respective coarsened measures

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:18.573510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 234fb8c6-1d34-4edc-b2d6-ac662e4fc690 · outbound

This paper cites Negative-valued bounds are clipped to 0, evaluat- ing as 100% relative error.

Quantization-based Bounds on the Wasserstein Metric Negative-valued bounds are clipped to 0, evaluat- ing as 100% relative error

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:19.233604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 084e1191-9aca-4d4f-97b0-50045c2d9150 · outbound

This paper cites an unresolved cited work.

Quantization-based Bounds on the Wasserstein Metric Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:18.888904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cefd34f3-a90f-4ece-9729-1d406705ef7d · outbound

This paper cites doi:10.1111/j.1467-8659.2011.02032.x.

Quantization-based Bounds on the Wasserstein Metric doi:10.1111/j.1467-8659.2011.02032.x

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:13.665764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b82a391d-0edb-442e-8197-384d923c07b1 · outbound

This paper cites doi:10.1109/TCBB.2023.3327633.

Quantization-based Bounds on the Wasserstein Metric doi:10.1109/TCBB.2023.3327633

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:14.154990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c67a48f4-56dd-4794-a4b2-442cafdb561b · outbound

This paper cites doi:10.1016/j.cell.2019.01.006.

Quantization-based Bounds on the Wasserstein Metric doi:10.1016/j.cell.2019.01.006

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:14.286902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f99c805b-febd-42a2-b373-06f8acd42152 · outbound

This paper cites doi:10.1109/ACCESS.2016.2639065.

Quantization-based Bounds on the Wasserstein Metric doi:10.1109/ACCESS.2016.2639065

Reference 17

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T12:04:17.537253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c64425ca-37ad-44cb-975c-6f8cd2f9a875 · outbound

This paper cites doi:10.3389/fmicb.2022.870938.

Quantization-based Bounds on the Wasserstein Metric doi:10.3389/fmicb.2022.870938

Reference 21

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T12:04:16.780253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ba2e1446-8e2d-4d78-83db-afd32d2bbb1c · outbound

This paper cites doi:10.1093/nar/gkad1019.

Quantization-based Bounds on the Wasserstein Metric doi:10.1093/nar/gkad1019

Reference 24

Resolution: verified exact; doi, observed 2026-08-07T12:04:15.907978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c8b1fa20-0069-4506-9143-7e1a5be9c36c · outbound

This paper cites URL https: //projecteuclid.org/journals/pacific-journal-of-mathematics/volume-21/ issue-2/Concerning-nonnegative-matrices-and-doubly-stochastic-matrices/ pjm/1102992505.full.

Quantization-based Bounds on the Wasserstein Metric URL https: //projecteuclid.org/journals/pacific-journal-of-mathematics/volume-21/ issue-2/Concerning-nonnegative-matrices-and-doubly-stochastic-matrices/ pjm/1102992505.full

Reference 1967

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:13.451321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95fa6ad5-aee3-47d3-8f5c-be30c722b60f · outbound

This paper cites an unresolved cited work.

Quantization-based Bounds on the Wasserstein Metric Unresolved cited work

Reference 2008

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T12:04:17.134522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a37eaad1-45b3-4a3b-bc9c-26562a4985ac · outbound

This paper cites doi:10.1007/978- 3-540-71050-9.

Quantization-based Bounds on the Wasserstein Metric doi:10.1007/978- 3-540-71050-9

Reference 2009

Resolution: malformed identifier; no resolver link, observed 2026-08-07T12:04:15.165148Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 786d3e22-c630-4c05-b1e8-9fd8c574b202 · outbound

This paper cites doi:10.1145/2070781.2024192.

Quantization-based Bounds on the Wasserstein Metric doi:10.1145/2070781.2024192

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:12.781877Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae617d98-6afa-4010-8b69-408b60403a4b · outbound

This paper cites doi:10.1038/nsmb.2711.

Quantization-based Bounds on the Wasserstein Metric doi:10.1038/nsmb.2711

Reference 2013

Resolution: verified exact; doi, observed 2026-08-07T12:04:16.483941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c5554f29-381d-41f0-8ee1-773465d00121 · outbound

This paper cites doi:10.7554/eLife.03080.

Quantization-based Bounds on the Wasserstein Metric doi:10.7554/eLife.03080

Reference 2014

Resolution: verified exact; doi, observed 2026-08-07T12:04:16.086153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 174d11df-2f82-498e-b19e-47d78ca8f0e2 · outbound

This paper cites an unresolved cited work.

Quantization-based Bounds on the Wasserstein Metric Unresolved cited work

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:14.799971Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c13fc91d-87ca-4b14-99e0-f15cc43863b9 · outbound

This paper cites doi:10.1038/nature16940.

Quantization-based Bounds on the Wasserstein Metric doi:10.1038/nature16940

Reference 2016

Resolution: verified exact; doi, observed 2026-08-07T12:04:16.268643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5cc7f470-e566-4f67-ab88-29ac94c00f2d · outbound

This paper cites doi:10.1109/TPAMI.2016.2615921.

Quantization-based Bounds on the Wasserstein Metric doi:10.1109/TPAMI.2016.2615921

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:13.103022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a42acd7-4267-40df-885a-aa65a8659aab · outbound

This paper cites an unresolved cited work.

Quantization-based Bounds on the Wasserstein Metric Unresolved cited work

Reference 2018

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:19.917589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 68c8738d-8bdb-4f05-8b14-f0504e434f6a · outbound

This paper cites an unresolved cited work.

Quantization-based Bounds on the Wasserstein Metric Unresolved cited work

Reference 2019

Resolution: parse uncertain; raw_fallback, observed 2026-08-07T12:04:19.590824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3a3da56b-8fb6-430c-af03-600c4ae0360c · outbound

This paper cites an unresolved cited work.

Quantization-based Bounds on the Wasserstein Metric Unresolved cited work

Reference 2020

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:20.101165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4cf41c3e-5418-476a-865d-4be7a9f1369e · outbound

This paper cites doi:10.1007/s00041-021-09879-2.

Quantization-based Bounds on the Wasserstein Metric doi:10.1007/s00041-021-09879-2

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:13.324539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce64ae95-c749-4b54-bea7-506ddf64b488 · outbound

This paper cites ISBN 978-1-66546-946-3.

Quantization-based Bounds on the Wasserstein Metric ISBN 978-1-66546-946-3

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:12.933610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a743846-745c-481d-b150-ce9c10946175 · outbound

This paper cites doi:10.1002/pro.4792.

Quantization-based Bounds on the Wasserstein Metric doi:10.1002/pro.4792

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:13.586865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88a643f2-802d-4798-8521-24268520b156 · outbound

This paper cites doi:10.1017/S2633903X24000059.

Quantization-based Bounds on the Wasserstein Metric doi:10.1017/S2633903X24000059

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:14.654081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc1ca8f1-886c-48c0-96b7-94550c0b9974 · outbound

This paper cites doi:10.1109/TPAMI.2024.3489030.

Quantization-based Bounds on the Wasserstein Metric doi:10.1109/TPAMI.2024.3489030

Reference 2025

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T12:04:17.914802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 12d1d87b-326a-4f76-993d-8af103974c17 · outbound

This paper cites an unresolved cited work.

Quantization-based Bounds on the Wasserstein Metric Unresolved cited work

Reference 8245

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:14.074375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.