Paper Citation Record · LEDGER

Weak Optimal Transport: When is the Dual Potential Convex?

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:2507.07200.

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

pith.paper-citation-record.v1
2507.07200 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:01:12.897278Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:14:47.927350Z

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 exact0
verified fuzzy15
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f7ef7dcd-73b8-4bcc-822b-c1a795b48aaa · outbound

This paper cites A new class of costs for optimal transport planning.

Weak Optimal Transport: When is the Dual Potential Convex? A new class of costs for optimal transport planning

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.086809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c89816c4-eb96-4859-9d6d-71ecf3d96f09 · outbound

This paper cites Aliprantis and K.C.

Weak Optimal Transport: When is the Dual Potential Convex? Aliprantis and K.C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.077700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f7b31888-2231-44be-9174-85a6e92fbbd2 · outbound

This paper cites Backhoff-Veraguas, M.

Weak Optimal Transport: When is the Dual Potential Convex? Backhoff-Veraguas, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.069266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c0da5300-e52b-42b2-b75f-c13a60db8412 · outbound

This paper cites Backhoff-Veraguas and G.

Weak Optimal Transport: When is the Dual Potential Convex? Backhoff-Veraguas and G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.060402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4741174e-87c2-4461-85e5-9d6ca515ca53 · outbound

This paper cites Existence of Bass martingales and the martingale Benamou −Brenier problem in Rd, 2025.

Weak Optimal Transport: When is the Dual Potential Convex? Existence of Bass martingales and the martingale Benamou −Brenier problem in Rd, 2025

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.052213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3fcd0f48-71aa-40bb-a477-2110a4a8427b · outbound

This paper cites Applications of weak transport theory.

Weak Optimal Transport: When is the Dual Potential Convex? Applications of weak transport theory

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.043144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 67ee835c-45ef-42c3-9a20-506d79b0f07e · outbound

This paper cites The Fundamental Theorem of Weak Optimal Transport.

Weak Optimal Transport: When is the Dual Potential Convex? The Fundamental Theorem of Weak Optimal Transport

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T19:01:12.860491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0d5482b-0c62-4ad1-9578-1bc734868465 · outbound

This paper cites Bertsekas and S.E.

Weak Optimal Transport: When is the Dual Potential Convex? Bertsekas and S.E

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.034514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cb7e32f7-e77f-4f40-b58d-e50bead4fa67 · outbound

This paper cites Strong Duality for a Multiple-Good Monopolist.

Weak Optimal Transport: When is the Dual Potential Convex? Strong Duality for a Multiple-Good Monopolist

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.026265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 99f9f89f-e2fd-4fe8-8880-f7d4fb37b6c0 · outbound

This paper cites Djire and Jan Wiegerinck.

Weak Optimal Transport: When is the Dual Potential Convex? Djire and Jan Wiegerinck

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.017401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9c7f4bf1-06ef-45da-9409-3f20f92d98ae · outbound

This paper cites Gogus, Tony L.

Weak Optimal Transport: When is the Dual Potential Convex? Gogus, Tony L

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:13.008384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 9546624b-5f6c-407c-8152-2c39adc542af · outbound

This paper cites On a mixture of Brenier and Strassen theorems.

Weak Optimal Transport: When is the Dual Potential Convex? On a mixture of Brenier and Strassen theorems

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.999601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 782939a6-cd25-4ad6-add7-00034287cc44 · outbound

This paper cites Characteri- zation of a class of weak transport-entropy inequalities on the line.

Weak Optimal Transport: When is the Dual Potential Convex? Characteri- zation of a class of weak transport-entropy inequalities on the line

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.990702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 694a3f47-69af-4b80-8e9c-a68a5a0bd35a · outbound

This paper cites Kantorovich duality for general transport costs and applications.

Weak Optimal Transport: When is the Dual Potential Convex? Kantorovich duality for general transport costs and applications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.981499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation e4c74332-bf9c-4cc5-8ebd-1cd7b6d2e81e · outbound

This paper cites an unresolved cited work.

Weak Optimal Transport: When is the Dual Potential Convex? Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:01:12.971398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation c9872ad0-5856-4877-8a5b-f5b8b5d71075 · outbound

This paper cites an unresolved cited work.

Weak Optimal Transport: When is the Dual Potential Convex? Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:01:12.962015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation cccea4c5-4292-465e-954e-dc65825f8b83 · outbound

This paper cites Rockafellar.

Weak Optimal Transport: When is the Dual Potential Convex? Rockafellar

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.952654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3deafac0-44fb-4869-a681-a07bda6c358b · outbound

This paper cites Strassen.

Weak Optimal Transport: When is the Dual Potential Convex? Strassen

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T19:01:12.942575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 80ea2abb-b6a0-434a-89ff-1b46bf17cc7d · outbound

This paper cites an unresolved cited work.

Weak Optimal Transport: When is the Dual Potential Convex? Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T19:01:12.932586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Pith citing papers

Observation cab63d43-1e03-4eb8-8fef-40df688ae818 · inbound

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

A Brenier-Strassen Theorem on CAT(kappa) Spaces Weak Optimal Transport: When is the Dual Potential Convex?

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-01T11:14:47.927350Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.