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Paper Citation Record · LEDGER

On the quadratic barycentric transport problem

As of 22 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2509.04935.

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pith.paper-citation-record.v1
2509.04935 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:53:16.258876Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

28 of 28 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c63cebfa-cfc1-4eab-bd31-4dcab7a7ea2f · outbound

This paper cites Sampling of probability measures in the convex order by W asserstein projection.

On the quadratic barycentric transport problem Sampling of probability measures in the convex order by W asserstein projection

Reference 1

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c3c6bf0b-e1ce-401a-9e5a-fee1da92f3a9 · outbound

This paper cites Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case.

On the quadratic barycentric transport problem Wasserstein projections in the convex order: regularity and characterization in the quadratic Gaussian case

Reference 2

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no resolver link, observed 2026-08-05T05:53:16.149490Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:53:16.149490Z digest=sha256:6165f18fa55f2753ed4652dced3330e3dfe9a7c18dc6ec1e5c7fbb6e43939caa

Observation 1ab99d19-29a8-4f63-a985-87c6cd6eff9e · outbound

This paper cites Alibert, G.

On the quadratic barycentric transport problem Alibert, G

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation f7befd19-120b-4513-b54a-1d076d82c0d2 · outbound

This paper cites Backhoff-Veraguas, M.

On the quadratic barycentric transport problem Backhoff-Veraguas, M

Reference 4

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raw_fallback, observed 2026-08-05T05:53:16.756506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation fbf63d04-9176-42a9-b16a-8c4f76e6719c · outbound

This paper cites Backhoff-Veraguas and G.

On the quadratic barycentric transport problem Backhoff-Veraguas and G

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 985caf5a-5bbb-4749-a8b6-5d02a90466cf · outbound

This paper cites Martingale benamou–brenier.

On the quadratic barycentric transport problem Martingale benamou–brenier

Reference 6

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raw_fallback, observed 2026-08-05T05:53:16.729210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 19b79b8b-a2e1-44e4-bb30-2608cfc1ad3d · outbound

This paper cites The Fundamental Theorem of Weak Optimal Transport.

On the quadratic barycentric transport problem The Fundamental Theorem of Weak Optimal Transport

Reference 7

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no resolver link, observed 2026-08-05T05:53:16.172331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:53:16.172331Z digest=sha256:bdb02a2faf2d541f80dfb1e9bc126cbdb210ced31a8cafb420f935c7b7e729d4

Observation cd83f8a2-f55b-486e-ae74-2d34ed39902d · outbound

This paper cites A computational flu id mechanics solution to the Monge-Kantorovich mass transf er problem.

On the quadratic barycentric transport problem A computational flu id mechanics solution to the Monge-Kantorovich mass transf er problem

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:53:16.715373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 6df1d6d9-17cf-40db-b776-acb4d31cc9a5 · outbound

This paper cites D´ ecomposition polaire et r´ earrangement monotone des champs de vecteurs.

On the quadratic barycentric transport problem D´ ecomposition polaire et r´ earrangement monotone des champs de vecteurs

Reference 9

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verified fuzzy
raw_fallback, observed 2026-08-05T05:53:16.701573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 3311238c-f5b8-4e95-81c1-6b327150ea1c · outbound

This paper cites Polar factorization and monotone rearra ngement of vector-valued functions.

On the quadratic barycentric transport problem Polar factorization and monotone rearra ngement of vector-valued functions

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c7b9bb82-b755-48d7-84cf-eb0cc46c3204 · outbound

This paper cites A no vel notion of barycenter for probability distributions bas ed on optimal weak mass transport.

On the quadratic barycentric transport problem A no vel notion of barycenter for probability distributions bas ed on optimal weak mass transport

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation fb8f72c8-285c-4576-ba43-c477b8193466 · outbound

This paper cites On lower bounds for the L2-W asserstein metric in a Hilbert space.

On the quadratic barycentric transport problem On lower bounds for the L2-W asserstein metric in a Hilbert space

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:53:16.659577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T05:53:16.193340Z digest=sha256:b1ab2fb7f85eb2b884041071a8327fb1ed4b8b8fcf02b80aa2ff505532ba8d10

Observation 3b3a809e-ca0e-45cc-8d07-9809b9f5c5ee · outbound

This paper cites Irreducible convex pa ving for decomposition of multidimensional martingale tra nsport plans.

On the quadratic barycentric transport problem Irreducible convex pa ving for decomposition of multidimensional martingale tra nsport plans

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 63899792-7ae1-428c-b7a2-fdd3c126ec80 · outbound

This paper cites A pro of of the Caffarelli contraction theorem via entropic regula r- ization.

On the quadratic barycentric transport problem A pro of of the Caffarelli contraction theorem via entropic regula r- ization

Reference 14

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 19b3432c-1f1a-47c7-ac83-f41dc7979f58 · outbound

This paper cites Gallou¨ et, Andrea Natale, and Gabriele Todes chi.

On the quadratic barycentric transport problem Gallou¨ et, Andrea Natale, and Gabriele Todes chi

Reference 15

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verified fuzzy
raw_fallback, observed 2026-08-05T05:53:16.617855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation fd93e372-906a-4a64-b1fe-13bb9dcf3eb2 · outbound

This paper cites On a mixture of bren ier and strassen theorems.

On the quadratic barycentric transport problem On a mixture of bren ier and strassen theorems

Reference 16

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raw_fallback, observed 2026-08-05T05:53:16.603759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a33d91fd-8663-4a45-ba69-801b3051df9f · outbound

This paper cites Hamilton Jacobi equations on metric spaces and transport en tropy inequalities.

On the quadratic barycentric transport problem Hamilton Jacobi equations on metric spaces and transport en tropy inequalities

Reference 17

Resolution
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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 0c102ad8-4f51-487b-8d98-66ab339e2db0 · outbound

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

On the quadratic barycentric transport problem Characterization of a class of weak transport-entropy inequalities on the line

Reference 18

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raw_fallback, observed 2026-08-05T05:53:16.574117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation e6d1d175-057c-47be-b14d-9ca56b6fc46b · outbound

This paper cites Kantorovich duality for general transport c osts and applications.

On the quadratic barycentric transport problem Kantorovich duality for general transport c osts and applications

Reference 19

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 360406be-e035-40fd-a234-abc0a8807c2e · outbound

This paper cites Inequalities for the gaussian measure a nd an application to wiener space.

On the quadratic barycentric transport problem Inequalities for the gaussian measure a nd an application to wiener space

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:53:16.544958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation d511b03e-84bb-4890-b91a-cc34c93e2823 · outbound

This paper cites Backward and forward W asserstein projections in stochastic order.

On the quadratic barycentric transport problem Backward and forward W asserstein projections in stochastic order

Reference 21

Resolution
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raw_fallback, observed 2026-08-05T05:53:16.530528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 648ad6cb-47f2-4aa1-a9d5-985dd1aa1f42 · outbound

This paper cites an unresolved cited work.

On the quadratic barycentric transport problem Unresolved cited work

Reference 22

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation a3259565-1f47-492f-973b-2f7f6dfb011f · outbound

This paper cites Optimal control for absolutely continu ous stochastic processes and the mass transportation probl em.

On the quadratic barycentric transport problem Optimal control for absolutely continu ous stochastic processes and the mass transportation probl em

Reference 23

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raw_fallback, observed 2026-08-05T05:53:16.398668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation c1302190-740f-4224-adc4-8a5bab94e372 · outbound

This paper cites Duality theorem for the stochastic optimal control problem.

On the quadratic barycentric transport problem Duality theorem for the stochastic optimal control problem

Reference 24

Resolution
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raw_fallback, observed 2026-08-05T05:53:16.383033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T05:53:16.242446Z digest=sha256:ea6679c8bf4dafb9c74d1049a5457847fe8b07c6e247cf92270a817600fafae4

Observation 0f589443-99ee-40eb-b8f8-77b62ed733d5 · outbound

This paper cites Convex analysis:(pms-28).

On the quadratic barycentric transport problem Convex analysis:(pms-28)

Reference 25

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raw_fallback, observed 2026-08-05T05:53:16.367368Z

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T05:53:16.246711Z digest=sha256:867518c6819b7620927b6f84d6079619f21bb123ca4bc4ee4f994008c21cd6cd

Observation e41ad61b-c204-408c-a0a4-bdf2001d9e96 · outbound

This paper cites Strassen.

On the quadratic barycentric transport problem Strassen

Reference 26

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raw_fallback, observed 2026-08-05T05:53:16.353441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T05:53:16.250722Z digest=sha256:a7ca1f9980290fe14bfc6b1d0ea5c11a623dc7e0ef5d4621097dcc5a4abc64b3

Observation e9a48b90-4dbd-43a4-b9f5-4f8f65069cb1 · outbound

This paper cites W asserstein geometry of Gaussian measu res.

On the quadratic barycentric transport problem W asserstein geometry of Gaussian measu res

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:53:16.339498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T05:53:16.254803Z digest=sha256:b01c2054c4f4184b7e25a24bf651d80fe2e18e451d98ac1251ee1ee0e8687484

Observation 661cfd20-0d47-4ef9-b9cf-a77247fe1b48 · outbound

This paper cites Optimal transportation und er controlled stochastic dynamics.

On the quadratic barycentric transport problem Optimal transportation und er controlled stochastic dynamics

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T05:53:16.325057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-05T05:53:16.258876Z digest=sha256:0b4c60e3c7a3e555f69f2cecf08ac970f97d116b224368feea2e2df447250a33

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