Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T05:53:16.258876Z
Paper Citation Record · LEDGER
On the quadratic barycentric transport problem
As of 12 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2509.04935.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
28 of 28 outbound references displayed
- verified exact0
- verified fuzzy25
- unresolved3
- parse uncertain0
- malformed identifier0
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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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:53:16.783417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T05:53:16.149490Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1ab99d19-29a8-4f63-a985-87c6cd6eff9e · outbound
This paper cites Alibert, G.
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:53:16.769758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f7befd19-120b-4513-b54a-1d076d82c0d2 · outbound
This paper cites Backhoff-Veraguas, M.
On the quadratic barycentric transport problem Backhoff-Veraguas, M
Reference 4
- Resolution
- verified fuzzy
- 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 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
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- raw_fallback, observed 2026-08-05T05:53:16.743592Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 985caf5a-5bbb-4749-a8b6-5d02a90466cf · outbound
This paper cites Martingale benamou–brenier.
On the quadratic barycentric transport problem Martingale benamou–brenier
Reference 6
- Resolution
- verified fuzzy
- 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 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T05:53:16.172331Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
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 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- 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 2026-08-12T06:34:41.77262+00:00.
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
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:53:16.687519Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:53:16.673815Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:53:16.645895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:53:16.631820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- 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 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- verified fuzzy
- 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 2026-08-12T06:34:41.77262+00:00.
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
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:53:16.588493Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- verified fuzzy
- 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 2026-08-12T06:34:41.77262+00:00.
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
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:53:16.559099Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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 2026-08-12T06:34:41.77262+00:00.
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
- verified fuzzy
- 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 2026-08-12T06:34:41.77262+00:00.
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
- raw_fallback, observed 2026-08-05T05:53:16.515264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- verified fuzzy
- 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 2026-08-12T06:34:41.77262+00:00.
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
- verified fuzzy
- 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 2026-08-12T06:34:41.77262+00:00.
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
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:53:16.367368Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e41ad61b-c204-408c-a0a4-bdf2001d9e96 · outbound
This paper cites Strassen.
Reference 26
- Resolution
- verified fuzzy
- 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 2026-08-12T06:34:41.77262+00:00.
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 2026-08-12T06:34:41.77262+00:00.
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 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.