Paper Citation Record · LEDGER

Nested Optimal Transport Distances

As of 10 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2509.06702.

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

pith.paper-citation-record.v1
2509.06702 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T23:20:11.102540Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

22 of 22 outbound references displayed

verified exact2
verified fuzzy16
unresolved4
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9eab064-6391-422b-b0c3-5af410457ec2 · outbound

This paper cites Generating synthetic data in finance: opportunities, challenges and pitfalls.

Nested Optimal Transport Distances Generating synthetic data in finance: opportunities, challenges and pitfalls

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.402866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 41782f4f-95ab-41da-8f4a-fae7a8d4e7ac · outbound

This paper cites Deep Generative Modeling for Financial Time Series with Application in VaR: A Comparative Review.

Nested Optimal Transport Distances Deep Generative Modeling for Financial Time Series with Application in VaR: A Comparative Review

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T23:20:11.026401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e46d0db-0b44-4ca9-a7b3-58f377a1658f · outbound

This paper cites Synthetic data for portfolios: A throw of the dice will never abolish chance.arXiv e-prints, pages arXiv–2501, 2025.

Nested Optimal Transport Distances Synthetic data for portfolios: A throw of the dice will never abolish chance.arXiv e-prints, pages arXiv–2501, 2025

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.391909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 532b8f5f-60c2-48e3-bf5e-b1a99d874dfa · outbound

This paper cites Adapted wasserstein distances and stability in mathematical finance.Finance and Stochastics, 24:601–632, 2020.

Nested Optimal Transport Distances Adapted wasserstein distances and stability in mathematical finance.Finance and Stochastics, 24:601–632, 2020

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.375735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1aa8030f-0e7d-4ffa-9cdd-6dcfea1f6601 · outbound

This paper cites Time consistent dynamic risk processes.Stochastic Processes and their Applications, 119(2):633–654, 2009.

Nested Optimal Transport Distances Time consistent dynamic risk processes.Stochastic Processes and their Applications, 119(2):633–654, 2009

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.361821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2f078477-ce6c-4b0f-bb71-bff736c63ff7 · outbound

This paper cites Incorporating statistical model error into the calculation of acceptability prices of contingent claims.Mathematical Programming, 174 (1):499–524, 2019.

Nested Optimal Transport Distances Incorporating statistical model error into the calculation of acceptability prices of contingent claims.Mathematical Programming, 174 (1):499–524, 2019

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.351248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ccbfdf99-1127-466a-9f47-c8f9606b7fd5 · outbound

This paper cites Sensitivity of multiperiod optimization problems with respect to the adapted wasserstein distance.SIAM Journal on Financial Mathematics, 14(2):704–720, 2023.

Nested Optimal Transport Distances Sensitivity of multiperiod optimization problems with respect to the adapted wasserstein distance.SIAM Journal on Financial Mathematics, 14(2):704–720, 2023

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.338623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 67bc7cf4-32ba-4594-8e3b-7d44e4f380bf · outbound

This paper cites The nested sinkhorn divergence to learn the nested distance.Computational Management Science, 19(2):269–293, 2022.

Nested Optimal Transport Distances The nested sinkhorn divergence to learn the nested distance.Computational Management Science, 19(2):269–293, 2022

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.327003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5381f0a1-1792-42a4-8d5f-e13b21b4bb07 · outbound

This paper cites Computational methods for adapted optimal transport.

Nested Optimal Transport Distances Computational methods for adapted optimal transport

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.313053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 845f1bb4-72fe-4926-a1c6-a8c3eb272da6 · outbound

This paper cites Fitted value iteration methods for bicausal optimal transport.

Nested Optimal Transport Distances Fitted value iteration methods for bicausal optimal transport

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-08-04T23:20:11.184470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation a9080d6c-2b7c-453e-ba92-94b31adb2da1 · outbound

This paper cites Springer, 2014.

Nested Optimal Transport Distances Springer, 2014

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.299412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 3cb6c821-6633-4130-b40e-c03fa84972f5 · outbound

This paper cites Causal optimal transport and its links to enlargement of filtrations and continuous-time stochastic optimization.Stochastic Processes and their Applications, 130(5):2918–2953, 2020.

Nested Optimal Transport Distances Causal optimal transport and its links to enlargement of filtrations and continuous-time stochastic optimization.Stochastic Processes and their Applications, 130(5):2918–2953, 2020

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.289128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f743090e-08bd-48b5-b079-795738b19666 · outbound

This paper cites Time-Causal VAE: Robust Financial Time Series Generator.

Nested Optimal Transport Distances Time-Causal VAE: Robust Financial Time Series Generator

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T23:20:11.072448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0047fc6e-c3bb-4639-b69d-b089c635944b · outbound

This paper cites Estimating processes in adapted wasserstein distance.The Annals of Applied Probability, 32(1):529–550, 2022.

Nested Optimal Transport Distances Estimating processes in adapted wasserstein distance.The Annals of Applied Probability, 32(1):529–550, 2022

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.277922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation dcc65796-89c6-4fbb-ab64-d73ef85aa4fb · outbound

This paper cites On the rate of convergence in wasserstein distance of the empirical measure.Probability Theory and Related Fields, 162(3):707–738, 2015.

Nested Optimal Transport Distances On the rate of convergence in wasserstein distance of the empirical measure.Probability Theory and Related Fields, 162(3):707–738, 2015

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.266487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5c510a7d-1982-419b-ae65-89bf14ff9208 · outbound

This paper cites Pot: Python optimal transport.Journal of Machine Learning Research, 22(78):1–8, 2021.

Nested Optimal Transport Distances Pot: Python optimal transport.Journal of Machine Learning Research, 22(78):1–8, 2021

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T23:20:11.083767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c83129c0-50b9-43fe-bf98-af931d920552 · outbound

This paper cites Causal transport in discrete time and applications.SIAM Journal on Optimization, 27(4):2528–2562, 2017.

Nested Optimal Transport Distances Causal transport in discrete time and applications.SIAM Journal on Optimization, 27(4):2528–2562, 2017

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.248312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 2edbecc1-b32b-418e-a66b-af62c3d093f5 · outbound

This paper cites Convergence of adapted empirical measures on Rd.The Annals of Applied Probability, 34(5):4799–4835, 2024.

Nested Optimal Transport Distances Convergence of adapted empirical measures on Rd.The Annals of Applied Probability, 34(5):4799–4835, 2024

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.236933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 173b929c-2878-4a89-8166-b44aacc1a93d · outbound

This paper cites On wasserstein geometry of gaussian measures.Probabilistic approach to geometry, 57:463–472, 2010.

Nested Optimal Transport Distances On wasserstein geometry of gaussian measures.Probabilistic approach to geometry, 57:463–472, 2010

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.225637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 22b8d12d-a0b5-4775-9d2a-421504af31b7 · outbound

This paper cites Adapted optimal transport between gaussian processes in discrete time.Electronic Communications in Probability, 30:1–14, 2025.

Nested Optimal Transport Distances Adapted optimal transport between gaussian processes in discrete time.Electronic Communications in Probability, 30:1–14, 2025

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T23:20:11.095690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de17d32d-7266-4a15-b97b-6964e1dc77f0 · outbound

This paper cites Entropic adapted wasserstein distance on gaussians.arXiv preprint arXiv:2412.18794, 2024.

Nested Optimal Transport Distances Entropic adapted wasserstein distance on gaussians.arXiv preprint arXiv:2412.18794, 2024

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-08-04T23:20:11.149519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation de1fdbd9-9c4b-41ef-b3fc-afc9e7a5311c · outbound

This paper cites The wasserstein space of stochastic processes.Journal of the European Mathematical Society, 2024.

Nested Optimal Transport Distances The wasserstein space of stochastic processes.Journal of the European Mathematical Society, 2024

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:20:11.208017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

No inbound Pith citation observations are available.