Paper Citation Record · LEDGER

Hierarchical Rectified Flow Matching with Mini-Batch Couplings

As of 9 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 2 inbound Pith citation observations for arXiv:2507.13350.

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

pith.paper-citation-record.v1
2507.13350 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:32:57.180944Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T10:54:45.020993Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T14:33:21.440273Z

Reference resolution

34 of 34 outbound references displayed

verified exact1
verified fuzzy13
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 133f8632-9a74-4d6e-b457-bc899f038069 · outbound

This paper cites Albergo and E.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Albergo and E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.511796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f21eb76e-bf0b-4109-92ce-cd163e9075c0 · outbound

This paper cites Stochastic Interpolants: A Unifying Framework for Flows and Diffusions.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Stochastic Interpolants: A Unifying Framework for Flows and Diffusions

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:56.535842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f99bf9d-783e-4d8f-a150-eee076da4edc · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.504481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eaeb37b7-6a95-4011-9380-e621d9e9fd17 · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.497561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2d69cf58-091d-4b49-aa7f-5594d7447a10 · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.490030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 383ea9cd-0f26-4b06-be50-0acd97f04aec · outbound

This paper cites Flow Matching in Latent Space.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Flow Matching in Latent Space

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:56.861161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e37c873c-d3a3-460b-b674-e2129c56dec5 · outbound

This paper cites Deshpande, Z.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Deshpande, Z

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.482474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 00154d14-46d9-463b-9aba-da54e8b6d5b0 · outbound

This paper cites Deshpande, Y.-T.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Deshpande, Y.-T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.474693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9eaafe74-92ed-4af4-b268-4bd22b75a862 · outbound

This paper cites Esser, S.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Esser, S

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.466192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation aab488bd-959d-4515-882e-d24e85fd4147 · outbound

This paper cites Fatras, Y.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Fatras, Y

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.457967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4ed95ee1-11a0-4fc2-b40c-fb2e370bd6de · outbound

This paper cites Minibatch optimal transport distances; analysis and applications.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Minibatch optimal transport distances; analysis and applications

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:57.123312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b25b09c9-6f0c-4412-ac89-e54b089c00a2 · outbound

This paper cites Flamary, N.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Flamary, N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.450605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ab1334d5-6d9a-48cd-ac52-e8e3df5f49a9 · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.443055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 41cb44de-f558-4da6-97e1-60d47baaac2b · outbound

This paper cites Variational Rectified Flow Matching.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Variational Rectified Flow Matching

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:32:57.298004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 09ae9948-0c4b-4dba-ba1c-84edad2e999c · outbound

This paper cites AlphaFold Meets Flow Matching for Generating Protein Ensembles.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings AlphaFold Meets Flow Matching for Generating Protein Ensembles

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:57.133178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd13934b-6921-4415-bc0a-7eeb0c50050c · outbound

This paper cites Karras, T.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Karras, T

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.435744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1833a62b-cbb9-4344-8a99-040f062de2de · outbound

This paper cites Krizhevsky.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Krizhevsky

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:57.138261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7dc58d9f-a92c-48c6-8973-943cd998dbf6 · outbound

This paper cites LeCun, L.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings LeCun, L

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:57.140641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20a04a91-395c-43b8-be33-e8e9c450cbc2 · outbound

This paper cites Lipman, R.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Lipman, R

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.418887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bff38858-88b5-4bd9-8d1c-41550a29fe7a · outbound

This paper cites Rectified Flow: A Marginal Preserving Approach to Optimal Transport.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Rectified Flow: A Marginal Preserving Approach to Optimal Transport

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:57.145841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3db7682f-b52d-43e4-838a-085d8b2cfd8d · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.410927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5657cff9-1128-417c-8fba-fe8ccdf37f1e · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.403248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 08b7f985-4135-4ea8-be85-a570811273ba · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.395388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 380f0d0b-719a-497a-bb0c-90a6621ac6c8 · outbound

This paper cites Scalable Diffusion Models with Transformers.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Scalable Diffusion Models with Transformers

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:57.155704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1abc8ffc-9f06-46dd-a064-7e892fd797b1 · outbound

This paper cites Peyr \'e , M.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Peyr \'e , M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.387161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1dcc3ecd-a2fa-48f1-97fe-28021c1f3c44 · outbound

This paper cites Pooladian, H.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Pooladian, H

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.379344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cb5d6901-133f-46f4-a9fd-9b63b384801b · outbound

This paper cites Rombach, A.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Rombach, A

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:57.163603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1a90bc5-620a-403b-bd18-a9fbdb5fe8ad · outbound

This paper cites Stark, B.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Stark, B

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.367185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b19ccd4f-675b-4192-ad0a-6194c35feebc · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.359062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 45faa3ef-39e7-41dd-8680-3d0f726af6ad · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.351501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4815e83f-1c03-4260-ae00-1ac9998ed8dc · outbound

This paper cites an unresolved cited work.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:32:57.343808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2de17492-66d7-4793-82dd-b8c90828bb89 · outbound

This paper cites Zhang and M.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Zhang and M

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T16:32:57.176140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a89fc72a-af9f-4823-a685-f30af10062b9 · outbound

This paper cites Zhang, Y.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Zhang, Y

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.336198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fd807cf4-2dbc-409b-bf2f-80ba2f270e34 · outbound

This paper cites Zhang, Y.

Hierarchical Rectified Flow Matching with Mini-Batch Couplings Zhang, Y

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:32:57.328460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation 93b2446c-aa89-4e59-aa4b-b3a16b80b93c · inbound

Deep Neural Networks Inspired by Differential Equations cites this paper.

Deep Neural Networks Inspired by Differential Equations Hierarchical Rectified Flow Matching with Mini-Batch Couplings

Reference 288

Resolution: unresolved; no resolver link, observed 2026-08-04T10:54:45.020993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4725a033-e988-4a44-8899-de9b9907e1b4 · inbound

Drift Flow Matching cites this paper.

Drift Flow Matching Hierarchical Rectified Flow Matching with Mini-Batch Couplings

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-20T14:33:21.441913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.