Pith. sign in

Paper Citation Record · LEDGER

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching

As of 15 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 4 inbound Pith citation observations for arXiv:2505.23346.

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

pith.paper-citation-record.v1
2505.23346 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:51:15.684680Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:33:50.178954Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T02:26:27.099158Z

Reference resolution

28 of 28 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved21
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a2df8c17-3f57-406b-9256-0b7547ded962 · outbound

This paper cites Sinkhorn distances: Lightspeed computation of optimal transport.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Sinkhorn distances: Lightspeed computation of optimal transport

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:12.956794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:12.956794Z digest=sha256:a0de658a4400bac118c16e516f4c1237f64a24769e8dc8fa1e3b801ce4f15102

Observation c8325125-392a-411f-a4c5-251dc18824fb · outbound

This paper cites Rela- tional diffusion distillation for efficient image generation.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Rela- tional diffusion distillation for efficient image generation

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:51:17.106720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T12:51:13.061896Z digest=sha256:5b60a0c653453cb6fdcd582dbb7a36296314c2190c08e343bac9f9c8584a6c6c

Observation de4287b3-d3be-4b7d-b5d5-708870455474 · outbound

This paper cites One Step Diffusion via Shortcut Models.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching One Step Diffusion via Shortcut Models

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:13.203949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:13.203949Z digest=sha256:9f0e41bebde188d882247b95a6e50412b92bbc6004d0316abdc9da451da1b692

Observation 3d8a1195-48b4-4374-9229-dc5b17574cf5 · outbound

This paper cites Denoising diffusion probabilistic models.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Denoising diffusion probabilistic models

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:13.354998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:13.354998Z digest=sha256:f2df83a8c89b88a52c41b61f4072d301b6158edd2b8d505a7325332c8f937a05

Observation 25ca7d86-2f05-414c-81a3-c833894fd6d4 · outbound

This paper cites Progressive Growing of GANs for Improved Quality, Stability, and Variation.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Progressive Growing of GANs for Improved Quality, Stability, and Variation

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:13.470885Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:13.470885Z digest=sha256:0df7ea7c41ae29d6cb2a04507dffea639266ee22b4a70829e15318ecdb0d362d

Observation 444e87bd-7cd8-44b5-824a-62ff26c8c5bd · outbound

This paper cites Elucidating the design space of diffusion-based generative models.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Elucidating the design space of diffusion-based generative models

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:13.559146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:13.559146Z digest=sha256:217fdec294129dc4f16924a82b36c90bb6571255e88f0e491ca2d49dbe0575a9

Observation 9be315d2-17e7-49b5-96fa-925976f776c1 · outbound

This paper cites Learning multiple layers of features from tiny images.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Learning multiple layers of features from tiny images

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:13.662627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:13.662627Z digest=sha256:9428f5b763404842e627d071b754dfbdf694bedcced352307a3faf49daff578e

Observation c4e11c26-7614-4e06-b861-51c54ea25d79 · outbound

This paper cites Gradient-based learning applied to document recognition.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Gradient-based learning applied to document recognition

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:13.763264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:13.763264Z digest=sha256:55c4f97c8f04ae6c0b287a2161902ef9ba142369936a395346204ff28390c166

Observation c5aa2804-194a-46b0-b7d0-dc3944695d64 · outbound

This paper cites Improving the training of rectified flows.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Improving the training of rectified flows

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:51:16.886843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T12:51:13.838079Z digest=sha256:9b323ea7a4aeb4cb2ede44b55819cb6d4ab7b377cccd4dd2723aa74640be9c20

Observation b9d79619-fca3-4e3b-a38d-ad855630a41c · outbound

This paper cites Flow Matching for Generative Modeling.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Flow Matching for Generative Modeling

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:13.947052Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:13.947052Z digest=sha256:35b83f642235f87906f62a11987d65e6312178ee4e0057e10d72ff1e3d3974a5

Observation ce0d4cf8-66b8-4bd7-bfa3-afaad323263d · outbound

This paper cites Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:14.051067Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:14.051067Z digest=sha256:75ffcf8e9182c3d65fa42bebbfd857da4462f3b1bb279445742b444691fb53a7

Observation df8c2db5-41c5-4ca6-87a3-ff0b5583e4ed · outbound

This paper cites Dpm-solver: A fast ode solver for diffusion probabilistic model sampling in around 10 steps.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Dpm-solver: A fast ode solver for diffusion probabilistic model sampling in around 10 steps

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:14.162667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:14.162667Z digest=sha256:8240789cf22ff9d1545e562dee7ca8a9736a55f06cedfa56cc7e2ccd859609fd

Observation 5becee00-4707-45d3-8b1d-58ec5572ac45 · outbound

This paper cites Scalable diffusion models with transformers.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Scalable diffusion models with transformers

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:14.260737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:14.260737Z digest=sha256:2e6492eb91063004078aad3f9293bfedcb7180df9cb68d0389862b255814711a

Observation 1ad2fbbc-6fe8-4332-af1d-360db88c0725 · outbound

This paper cites Multisample Flow Matching: Straightening Flows with Minibatch Couplings.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Multisample Flow Matching: Straightening Flows with Minibatch Couplings

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:14.327355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:14.327355Z digest=sha256:e0677af65d4f2a2a77538dff46ff8e038004f0d6bb81b1163e9fcd52ad2b8a77

Observation 1d4924c5-10c5-4cb8-a5e7-818d54edb61e · outbound

This paper cites Spatialvla: Exploring spatial representations for visual-language-action model, 2025.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Spatialvla: Exploring spatial representations for visual-language-action model, 2025

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:51:16.694526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T12:51:14.409900Z digest=sha256:b3ece8567eff2fc52a6491831707b865c7e03b2bac71a039b2a1b8a7b689cdfb

Observation 222bb008-7f08-446c-8de7-409b89857424 · outbound

This paper cites Progressive Distillation for Fast Sampling of Diffusion Models.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Progressive Distillation for Fast Sampling of Diffusion Models

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:14.516702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:14.516702Z digest=sha256:582913db32381327bce2efc09a5c1acacc1f5b237fa5d4c34919beccc99cd957

Observation bbb7a770-b000-4aec-9376-5c4ac09d6e47 · outbound

This paper cites Deep unsupervised learning using nonequilibrium thermodynamics.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Deep unsupervised learning using nonequilibrium thermodynamics

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:51:16.515733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T12:51:14.634679Z digest=sha256:df9e008d4f6dd5981b82da81e8481e44da635606dcf467fb1da49f4304c7ec13

Observation 06913499-6cac-4458-bd7a-7846ea15e036 · outbound

This paper cites Hume: Introducing system-2 thinking in visual-language- action model, 2025.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Hume: Introducing system-2 thinking in visual-language- action model, 2025

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:51:16.253276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T12:51:14.723403Z digest=sha256:5429308c664e140510e740e64246f71ceeb2451d9b1bac4ee72ce6363953c34c

Observation 04190b63-1b8e-449f-85b3-00126269d05c · outbound

This paper cites Denoising Diffusion Implicit Models.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Denoising Diffusion Implicit Models

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:14.849294Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:14.849294Z digest=sha256:056af06fa8b3131d44d53bb12b94d5415d8aa93cee62492855fb7240f0b1664f

Observation 75cccf9a-97bc-4a62-8fd4-0096b00d6c80 · outbound

This paper cites Consistency models.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Consistency models

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:14.934856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:14.934856Z digest=sha256:7fb9c2e44f108454baf4f08f13dc42de1a2a532fa3c9b52a6cd2c01fb48dc1d0

Observation bae54d14-d36e-49dd-8b9a-b30d89cef1f9 · outbound

This paper cites Score-Based Generative Modeling through Stochastic Differential Equations.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Score-Based Generative Modeling through Stochastic Differential Equations

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:15.012810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:15.012810Z digest=sha256:a81b806342d8c6d40477f9f6f9cbb03acef4a1340b7d5d3d74f15d88bac2beef

Observation 63fe8d56-dbe7-4001-af5f-aa373b9fd341 · outbound

This paper cites Equivariant flow matching with hybrid probability transport for 3d molecule generation.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Equivariant flow matching with hybrid probability transport for 3d molecule generation

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:51:16.100771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T12:51:15.115649Z digest=sha256:ad2497d2a3c0dcf7b1f3f8a4e224ac96439e0e8195786dd9c2bcf70b765c5c23

Observation a7356c05-0b25-4d5b-b68b-3f163a16ed15 · outbound

This paper cites Roformer: Enhanced transformer with rotary position embedding.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Roformer: Enhanced transformer with rotary position embedding

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:15.222865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:15.222865Z digest=sha256:85fe360f9eb701fdc9ebff7a3d279ff1fbb41af5934707fc5b06f0d2ce369c49

Observation e9c5265d-68d8-45c8-8375-881058bd50ec · outbound

This paper cites Improving and generalizing flow-based generative models with minibatch optimal transport.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Improving and generalizing flow-based generative models with minibatch optimal transport

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:15.293972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:15.293972Z digest=sha256:c91d5530dd5b499bc420f07677f9274bd276a678f6b2ef91ebe663fc9ecde52a

Observation e1b44d58-c61b-4c65-ad2b-9a847887128d · outbound

This paper cites Simulation-free Schr\"odinger bridges via score and flow matching.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Simulation-free Schr\"odinger bridges via score and flow matching

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:15.431072Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:15.431072Z digest=sha256:65670c7205e3678db70230b315fdaf74e9b09c6d363b8da0e8df6b333e6d9bd8

Observation f45c6402-873d-4f03-a122-a6da84d74e91 · outbound

This paper cites Rectified Diffusion: Straightness Is Not Your Need in Rectified Flow.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Rectified Diffusion: Straightness Is Not Your Need in Rectified Flow

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:15.524170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:15.524170Z digest=sha256:5761dafcffd3e16a8d6b010ff4c5ec2409d76d5ed309b4738a53623fb02ee235

Observation 3949b9f6-d7b2-48ca-9796-2cf10b76304f · outbound

This paper cites Flow matching for scalable simulation-based inference.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Flow matching for scalable simulation-based inference

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T12:51:15.583796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:15.583796Z digest=sha256:c13a619fa1c5251554848413a7785230610060aa9006a25af1038459f3f86d46

Observation 4dd2de7d-8811-4f5a-bbbe-5b455c9d691b · outbound

This paper cites Towards Hierarchical Rectified Flow.

Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching Towards Hierarchical Rectified Flow

Reference 28

Resolution
malformed identifier
no resolver link, observed 2026-08-07T12:51:15.684680Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:51:15.684680Z digest=sha256:3ebf49f73b8f971adb01682723b34703f907417e869c9d41448468167f8e711f

Pith citing papers

Observation e36e8996-aef0-42d3-9da8-5e096f4a255c · inbound

Hume: Introducing System-2 Thinking in Visual-Language-Action Model cites this paper.

Hume: Introducing System-2 Thinking in Visual-Language-Action Model Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T13:33:50.178954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:33:50.178954Z digest=sha256:dd383bf91148495b95bf40b3559d26fdada426d761ad208618e9f0a8c1cbc11e

Observation dbd631d1-8dae-40fd-b98a-56f973fb222c · inbound

Flow Matching Calibration for Simulation-Based Inference under Model Misspecification cites this paper.

Flow Matching Calibration for Simulation-Based Inference under Model Misspecification Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-04T14:52:29.731957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T14:52:29.731957Z digest=sha256:1a028d7ea055f97c217906d8202a1e3e120ecfcd902ebb3992dd772ef6cc770a

Observation bb926712-3ba6-4a2f-8ffa-443949836d01 · inbound

SubFlow: Sub-mode Conditioned Flow Matching for Diverse One-Step Generation cites this paper.

SubFlow: Sub-mode Conditioned Flow Matching for Diverse One-Step Generation Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-11T11:06:01.152847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T15:10:36.321169Z digest=sha256:f91c2061d0f2c43d0acd70c3255b7f95af501460f5d4ea316eea4d92f41e70f5

Observation f8b57449-27ef-4696-a4bb-0c6c35cc3b2a · inbound

Optimal Transport Flow Matching by Design cites this paper.

Optimal Transport Flow Matching by Design Beyond Optimal Transport: Model-Aligned Coupling for Flow Matching

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-07-02T02:26:27.101114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-28T10:53:30.522259Z digest=sha256:ba555758f369a9217ac16c225b56fca7078fa2ccd478b5797862c8c01402a1dc