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Paper Citation Record · LEDGER

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End

As of 23 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 3 inbound Pith citation observations for arXiv:2505.16082.

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

pith.paper-citation-record.v1
2505.16082 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:13:01.296557Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:06:33.289487Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-14T20:52:59.195682Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved6
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cce3cefa-4bb6-49b3-b7b8-2cccd863ed35 · outbound

This paper cites Meta Flow Matching: Integrating Vector Fields on the Wasserstein Manifold.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End Meta Flow Matching: Integrating Vector Fields on the Wasserstein Manifold

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T15:13:01.237702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:13:01.237702Z digest=sha256:64466cf46155253b8cb661235041374582ad03a3130ccbc9a4e2d35c817337bf

Observation d47bc878-84b7-42e0-96db-fdb36b4ba2f3 · outbound

This paper cites A complete characterization of identifiability in more general settings is beyond the scope of this work and constitutes an important direction for future research.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End A complete characterization of identifiability in more general settings is beyond the scope of this work and constitutes an important direction for future research

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:13:01.392616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:13:01.296557Z digest=sha256:34a459398be53d063f71b57d7f01b5473788eba8b4ac311f559b2ff3bf91afe3

Observation 9b7a71a5-fdaf-412d-a4b5-1bfd42513b02 · outbound

This paper cites Since the two baselines cannot make vector fields in correct dimension we did not compare vector field reconstruction.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End Since the two baselines cannot make vector fields in correct dimension we did not compare vector field reconstruction

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:13:01.447013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:13:01.282668Z digest=sha256:db42c2e42fcec7063abae153624296a42c9ec07505f283f3f87480a2ed84ec40

Observation ea1d62d7-0406-41e8-8cdf-a81cbb837b3b · outbound

This paper cites an unresolved cited work.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:13:01.534419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:13:01.243922Z digest=sha256:b07a55530ce50410c71980f9fa459a89b43184c2cbc07a0d1e136e7adffc76ab

Observation d2063b5c-7542-439d-b5a1-6968b6635348 · outbound

This paper cites Joint trajectory and network inference via reference fitting.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End Joint trajectory and network inference via reference fitting

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T15:13:01.267420Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:13:01.267420Z digest=sha256:bbf24120b96a220e848da86ff43491f7cc048110964bbd9f67fb15bf6e90798b

Observation 6ab70873-746e-4f46-8938-9cfb55198c39 · outbound

This paper cites (2025).Statistical Optimal Transport, volume 2364 of Lecture Notes in Mathematics.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End (2025).Statistical Optimal Transport, volume 2364 of Lecture Notes in Mathematics

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:13:01.517874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:13:01.250440Z digest=sha256:949ab961a4934e80fdcf16f638682b7e2e60365a07a512a66d4d511e8fdab741

Observation 0bd1432a-2020-4312-b224-56059612ccd6 · outbound

This paper cites an unresolved cited work.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End Unresolved cited work

Reference 430

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:13:01.499000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:13:01.262098Z digest=sha256:adb4ea3686afa04cd2e5caffc42808cfccef22b3886e62450c031dfca8b7dbc6

Observation a3fd96e4-ecb7-426c-b893-0bd6590865cd · outbound

This paper cites −γ (Y−y 0)rv (Y−y 0)2 + (Y−y 0)2 1−exp p (Y−y 0)2 + (Y−y 0)2 rv !! +d X−x 0,d rd # dt+σdW x dY=.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End −γ (Y−y 0)rv (Y−y 0)2 + (Y−y 0)2 1−exp p (Y−y 0)2 + (Y−y 0)2 rv !! +d X−x 0,d rd # dt+σdW x dY=

Reference 1995

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T15:13:01.412023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:13:01.291899Z digest=sha256:d3c961d50d078286e168af7ccb0c7744f68b690b3c1daafbd308b5923bbc6451

Observation c277b50e-4453-48d2-a698-6617be614535 · outbound

This paper cites an unresolved cited work.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End Unresolved cited work

Reference 2001

Resolution
unresolved
raw_fallback, observed 2026-08-07T15:13:01.430239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:13:01.287306Z digest=sha256:7bffac72d2330117073f1f8890089a01ca7713d1c3e239ff68f238cff9ea03a2

Observation 0b175880-864b-454d-ae09-082e749b6270 · outbound

This paper cites Estimating Barycenters of Measures in High Dimensions.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End Estimating Barycenters of Measures in High Dimensions

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-07T15:13:01.256055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:13:01.256055Z digest=sha256:19469221e1328329705c89888f3022cba5c0fa7d65adfbb83389654c48aac37c

Observation d8897a96-45e6-4614-89ad-d040877b5a9d · outbound

This paper cites δ(t−t ′)E y∼f(y|t) y′∼f(y|t ′) [Ky(y,y ′)] # = X t,t′∈T.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End δ(t−t ′)E y∼f(y|t) y′∼f(y|t ′) [Ky(y,y ′)] # = X t,t′∈T

Reference 2020

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:13:01.463584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:13:01.277982Z digest=sha256:b0b0be15ff140a62ae809b3460b22456c89f7a97771515d157ba78d8a4c35874

Observation 0745caa7-84af-44f2-87f8-b8969f8d3872 · outbound

This paper cites (2025) proposed generaliza- tions using higher-order derivatives, although these approaches are computationally feasible only in low-dimensional settings.

Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End (2025) proposed generaliza- tions using higher-order derivatives, although these approaches are computationally feasible only in low-dimensional settings

Reference 2024

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T15:13:01.481808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T15:13:01.273462Z digest=sha256:248cd5e9af3f05286136cff29a57f4df898c528044e7d29a88ed0636c782072d

Pith citing papers

Observation ca92dc9d-8e73-419e-b8e9-66cd85a4b102 · inbound

Optimal Multimarginal Schr\"odinger Bridge: Minimum Spanning Tree over Measure-valued Vertices cites this paper.

Optimal Multimarginal Schr\"odinger Bridge: Minimum Spanning Tree over Measure-valued Vertices Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T16:06:33.289487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:06:33.289487Z digest=sha256:69307cf82d878c8a660f3d17bf240d8768a39204d2e0a5ef5893bdd0fae90bb5

Observation 0ccd7262-759f-40ee-8573-7f49056b0e37 · inbound

A Call to Lagrangian Action: Learning Population Mechanics from Temporal Snapshots cites this paper.

A Call to Lagrangian Action: Learning Population Mechanics from Temporal Snapshots Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-12T08:06:27.216690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-05-12T01:20:12.816671Z digest=sha256:922c9c5d1913f16ad0ba2036c0c0037359afd4588149c9d0386685a4541469ca

Observation 4b830521-598d-40e7-8b7e-eee6d7aee526 · inbound

A Call to Lagrangian Action: Learning Population Mechanics from Temporal Snapshots cites this paper.

A Call to Lagrangian Action: Learning Population Mechanics from Temporal Snapshots Oh SnapMMD! Forecasting Stochastic Dynamics Beyond the Schr\"odinger Bridge's End

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-14T20:52:59.197884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-05-14T20:49:26.890463Z digest=sha256:b75285939b8b78e8847170fb1c6dedb6297b1f33fda091d79a5d63a2bbc2e53b