Paper Citation Record · LEDGER

Quadratic-form Optimal Transport

As of 11 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2501.04658.

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

pith.paper-citation-record.v1
2501.04658 v5

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:36:33.217713Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

19 of 19 outbound references displayed

verified exact2
verified fuzzy8
unresolved8
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cabe8d75-c1d0-4b0a-b3cc-34641f0348da · outbound

This paper cites an unresolved cited work.

Quadratic-form Optimal Transport Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:36:33.981558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 96649800-ea24-408b-b7f6-f92df2a32f20 · outbound

This paper cites For two random variables, we write the convex order relationZ⩽ cx WifE[h(Z)]⩽E[h(W)] for all convex functionshsuch that the two expectations are well-defined.

Quadratic-form Optimal Transport For two random variables, we write the convex order relationZ⩽ cx WifE[h(Z)]⩽E[h(W)] for all convex functionshsuch that the two expectations are well-defined

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:33.929583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 405d5cba-ff8a-405d-8608-ae65dff1b1bb · outbound

This paper cites Measuring Association on Topological Spaces Using Kernels and Geometric Graphs.

Quadratic-form Optimal Transport Measuring Association on Topological Spaces Using Kernels and Geometric Graphs

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T21:36:32.910599Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e45ed4ff-109e-441d-915a-4c73a0d4bc62 · outbound

This paper cites The analogous question in the QOT context remains very challenging.

Quadratic-form Optimal Transport The analogous question in the QOT context remains very challenging

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:33.870186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 52005556-4146-4b53-916c-c7af9df1c3dd · outbound

This paper cites Our next result, with a self-contained proof, implies the above conclusion onη.

Quadratic-form Optimal Transport Our next result, with a self-contained proof, implies the above conclusion onη

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:33.954218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5f7a3ca6-a1a7-4a9c-b408-c0befed94607 · outbound

This paper cites λ-shaped.

Quadratic-form Optimal Transport λ-shaped

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:33.904982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 72cbbea9-4f0b-4fc2-a129-f89c95911c61 · outbound

This paper cites an unresolved cited work.

Quadratic-form Optimal Transport Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:36:33.835577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7e2feed5-7cc8-4af3-9aba-b2b62f173dc4 · outbound

This paper cites Since Π(µ, ν) is weakly compact, a minimizer of (2.1) exists.

Quadratic-form Optimal Transport Since Π(µ, ν) is weakly compact, a minimizer of (2.1) exists

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:33.812543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d4738a55-f39a-43ad-894b-c73c945fa9bb · outbound

This paper cites Kravtsova.

Quadratic-form Optimal Transport Kravtsova

Reference 1957

Resolution: unresolved; no resolver link, observed 2026-08-10T21:36:33.112391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 346ff17a-6377-4d70-acaa-5b4d5ff18f2d · outbound

This paper cites Gonz´ alez-Sanz and M.

Quadratic-form Optimal Transport Gonz´ alez-Sanz and M

Reference 1971

Resolution: unresolved; no resolver link, observed 2026-08-10T21:36:33.105433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc2a71c9-b852-4844-871e-7af9cc92e0e7 · outbound

This paper cites The following result is equivalent to Lemma 2.8 of Burkard et al.

Quadratic-form Optimal Transport The following result is equivalent to Lemma 2.8 of Burkard et al

Reference 1998

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T21:36:33.768486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8ab73ff6-d414-4d63-924f-60d2813e7229 · outbound

This paper cites A contribution to Optimal Transport on incomparable spaces.

Quadratic-form Optimal Transport A contribution to Optimal Transport on incomparable spaces

Reference 2000

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:36:33.320445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation be4db91a-ab7e-4776-8be1-dc8d50a3cc4c · outbound

This paper cites an unresolved cited work.

Quadratic-form Optimal Transport Unresolved cited work

Reference 2007

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:36:34.030254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4e2183b6-a4a4-48cd-baae-8fb73f1d5b97 · outbound

This paper cites Sparsity of Quadratically Regularized Optimal Transport: Bounds on concentration and bias.

Quadratic-form Optimal Transport Sparsity of Quadratically Regularized Optimal Transport: Bounds on concentration and bias

Reference 2009

Resolution: unresolved; no resolver link, observed 2026-08-10T21:36:33.132041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b7c9bce-ae3d-4d57-989a-7f7a0bf57705 · outbound

This paper cites Sincecis continuous and satisfies (4.1), we have RR cdπ n ⊗dπ n →RR cdπ⊗dπ(see Van der Vaart [2000, Theorem 2.20] and the example that follows).

Quadratic-form Optimal Transport Sincecis continuous and satisfies (4.1), we have RR cdπ n ⊗dπ n →RR cdπ⊗dπ(see Van der Vaart [2000, Theorem 2.20] and the example that follows)

Reference 2013

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:33.789884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2f6fd188-acc2-4496-b01c-9ff8f3c8cc28 · outbound

This paper cites Chatterjee.

Quadratic-form Optimal Transport Chatterjee

Reference 2018

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:34.051333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bd9453d8-0b74-4783-8e40-62d070142a22 · outbound

This paper cites Bauer, F.

Quadratic-form Optimal Transport Bauer, F

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-10T21:36:32.893758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 986081db-384f-4856-bf50-85d20a5ade86 · outbound

This paper cites Distribution-free Measures of Association based on Optimal Transport.

Quadratic-form Optimal Transport Distribution-free Measures of Association based on Optimal Transport

Reference 2020

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:36:33.616340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1ca73678-5c81-4ce3-b9a6-3b33886f9748 · outbound

This paper cites Denote by{x 1,.

Quadratic-form Optimal Transport Denote by{x 1,

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:36:34.007164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.