Paper Citation Record · LEDGER

A discrete Benamou-Brenier formulation of Optimal Transport on graphs

As of 10 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2601.04193.

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

pith.paper-citation-record.v1
2601.04193 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T16:09:22.123546Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

20 of 20 outbound references displayed

verified exact1
verified fuzzy18
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 50a0066d-64b3-4faf-9acf-c10c2a432acc · outbound

This paper cites On the translocation of masses.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs On the translocation of masses

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.512251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a98b1f9a-930c-44f1-b3e0-fd6eadaa67cc · outbound

This paper cites Optimal transport, old and new.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Optimal transport, old and new

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.524250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 202aeb95-01d4-47b6-8cc1-079c0732b6f4 · outbound

This paper cites Wasserstein generative ad- versarial networks.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Wasserstein generative ad- versarial networks

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.536535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 05568433-48a5-4d33-b7a8-e95c1f4761f2 · outbound

This paper cites Learning with a Wasserstein loss.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Learning with a Wasserstein loss

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.546796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b067b9e8-c087-4830-92a8-b002ac77b634 · outbound

This paper cites Wasserstein dependency measure for representation learning.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Wasserstein dependency measure for representation learning

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.530887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5d0f326f-327d-4c36-8481-9300677ed1f4 · outbound

This paper cites The variational formulation of the Fokker–Planck equation.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs The variational formulation of the Fokker–Planck equation

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.551741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e3932fed-40fd-48a3-b159-261f797fe90b · outbound

This paper cites Large-scale Wasserstein gradient flows.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Large-scale Wasserstein gradient flows

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.549434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 782bd5f3-e2de-4046-b569-51a5cb8eb9fb · outbound

This paper cites A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs A computational fluid mechanics solution to the Monge-Kantorovich mass transfer problem

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.539266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ffd4fe67-3a1e-46e9-a619-4d9501a3d8a3 · outbound

This paper cites A convexity principle for interacting gases.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs A convexity principle for interacting gases

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.532061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 96b9b10e-ca47-4c2a-bf07-9ce4b924bf32 · outbound

This paper cites Gradient flows of the entropy for finite Markov chains.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Gradient flows of the entropy for finite Markov chains

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.536715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5d63d240-dc9c-4d98-b1e7-b7891a17dc64 · outbound

This paper cites A continuous model of transportation.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs A continuous model of transportation

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.526555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3e57a34b-1498-4c8e-aa67-426741c13046 · outbound

This paper cites Computational optimal transport: With applications to data science.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Computational optimal transport: With applications to data science

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.523597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 71dcf8e9-d369-4559-8f2d-bb3961c03451 · outbound

This paper cites Discrete versions of the transport equation and the Shepp-Olkin conjecture.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Discrete versions of the transport equation and the Shepp-Olkin conjecture

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.518777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0000fe19-a208-402f-baaa-abcaadab51bc · outbound

This paper cites Some asymptotic theory for the bootstrap.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Some asymptotic theory for the bootstrap

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.534265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 93f500fa-001f-495d-8918-e0de6c9f1806 · outbound

This paper cites The phylogenetic Kantorovich– Rubinstein metric for environmental sequence samples.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs The phylogenetic Kantorovich– Rubinstein metric for environmental sequence samples

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.528375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a72149a4-3a3e-4f2e-8b3b-ac5f804fc0fb · outbound

This paper cites Unifrac: a new phylogenetic method for comparing microbial communities.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Unifrac: a new phylogenetic method for comparing microbial communities

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.509033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 80e19e68-1903-43b9-bbbf-8d56819e7303 · outbound

This paper cites Transportation distances on the circle.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Transportation distances on the circle

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.554074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 063ff913-8871-4e36-9554-36e5b3e303ea · outbound

This paper cites Kantorovich distance on a finite metric space.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Kantorovich distance on a finite metric space

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-16T16:11:05.087217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3e830f26-3b33-471a-9d63-d3a3cff435cc · outbound

This paper cites Ambrosio, E.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Ambrosio, E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T16:11:05.541604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1918c92b-c48d-4bd8-87fa-ed35b735e421 · outbound

This paper cites an unresolved cited work.

A discrete Benamou-Brenier formulation of Optimal Transport on graphs Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-16T16:11:05.543996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.