Paper Citation Record · LEDGER

Error Analysis of Discrete Flow with Generator Matching

As of 17 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 4 inbound Pith citation observations for arXiv:2509.21906.

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

pith.paper-citation-record.v1
2509.21906 v3

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:51:39.043573Z

measured 49 of 49 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:17:46.300652Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T16:29:56.582321Z

Reference resolution

45 of 45 outbound references displayed

verified exact0
verified fuzzy13
unresolved32
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bc50158c-65bf-4657-b2fb-906517e55bc5 · outbound

This paper cites Building normalizing flows with stochastic in- terpolants.

Error Analysis of Discrete Flow with Generator Matching Building normalizing flows with stochastic in- terpolants

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.844961Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 382e9fad-4b58-42d6-82c3-ee43d41034ee · outbound

This paper cites cambridge university press, 2009.

Error Analysis of Discrete Flow with Generator Matching cambridge university press, 2009

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.850204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c89b4d7-33e2-4b61-ae69-aa394a158cda · outbound

This paper cites Cambridge University Press, 2009.

Error Analysis of Discrete Flow with Generator Matching Cambridge University Press, 2009

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.610654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c25b37d0-359c-4f79-910c-e7ce0e0f1a1b · outbound

This paper cites Structured denoising diffusion models in discrete state-spaces.

Error Analysis of Discrete Flow with Generator Matching Structured denoising diffusion models in discrete state-spaces

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.859474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0101b742-05f1-45e3-ba23-4e3f20026335 · outbound

This paper cites Nearly-tight VC- dimension and Pseudodimension bounds for piecewise linear neural networks.Journal of Ma- chine Learning Research, 20(63):1–17, 2019.

Error Analysis of Discrete Flow with Generator Matching Nearly-tight VC- dimension and Pseudodimension bounds for piecewise linear neural networks.Journal of Ma- chine Learning Research, 20(63):1–17, 2019

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.587465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9290b2c1-ea25-4f00-ad97-5042414348b1 · outbound

This paper cites Nearlyd-linear convergence bounds for diffusion models via stochastic localization.

Error Analysis of Discrete Flow with Generator Matching Nearlyd-linear convergence bounds for diffusion models via stochastic localization

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.572514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1f42621d-50ef-438d-8da0-f881664a9941 · outbound

This paper cites Error bounds for flow matching meth- ods.Transactions on Machine Learning Research, 2024.

Error Analysis of Discrete Flow with Generator Matching Error bounds for flow matching meth- ods.Transactions on Machine Learning Research, 2024

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.557728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9f44eb52-51ae-47ca-bb35-90f0f0f80602 · outbound

This paper cites From denoising diffusions to denoising Markov models.Journal of the Royal Statistical Society Series B: Statistical Methodology, 86(2):286–301, 2024.

Error Analysis of Discrete Flow with Generator Matching From denoising diffusions to denoising Markov models.Journal of the Royal Statistical Society Series B: Statistical Methodology, 86(2):286–301, 2024

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.878774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 391f5d66-f224-4dd1-821b-a944ad773af8 · outbound

This paper cites A continuous time framework for discrete denoising models.

Error Analysis of Discrete Flow with Generator Matching A continuous time framework for discrete denoising models

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.534539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a9339aef-01b5-4aad-936a-9031fd578938 · outbound

This paper cites Gen- erative flows on discrete state-spaces: Enabling multimodal flows with applications to protein co-design.

Error Analysis of Discrete Flow with Generator Matching Gen- erative flows on discrete state-spaces: Enabling multimodal flows with applications to protein co-design

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.519276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1c9f0751-5720-4f84-953a-0a14a907961f · outbound

This paper cites Convergence Analysis of Discrete Diffusion Model: Exact Implementation through Uniformization.

Error Analysis of Discrete Flow with Generator Matching Convergence Analysis of Discrete Diffusion Model: Exact Implementation through Uniformization

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.892418Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3256ae09-9c53-439e-8a0f-3d8f856371c8 · outbound

This paper cites Neural ordinary differential equations.

Error Analysis of Discrete Flow with Generator Matching Neural ordinary differential equations

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.896808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac86cee9-d242-40b6-846e-1535d9bb4faf · outbound

This paper cites Cambridge university press, 2019.

Error Analysis of Discrete Flow with Generator Matching Cambridge university press, 2019

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.902189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e75efd8-9265-43a0-92f3-2722cffb89f7 · outbound

This paper cites Gaussian interpolation flows.Journal of Machine Learning Research, 25(253):1–52, 2024.

Error Analysis of Discrete Flow with Generator Matching Gaussian interpolation flows.Journal of Machine Learning Research, 25(253):1–52, 2024

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.906707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35dd9d5f-3a42-4fec-afc5-8d3c82ff5073 · outbound

This paper cites Convergence of Continuous Normalizing Flows for Learning Probability Distributions.

Error Analysis of Discrete Flow with Generator Matching Convergence of Continuous Normalizing Flows for Learning Probability Distributions

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.911066Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08d2cd52-a22b-473c-9718-2d0b1b871832 · outbound

This paper cites Discrete flow matching.

Error Analysis of Discrete Flow with Generator Matching Discrete flow matching

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.915693Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d8d87e8-010b-4394-8402-f2060b63185a · outbound

This paper cites Springer, 2002.

Error Analysis of Discrete Flow with Generator Matching Springer, 2002

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.919792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c51e6e57-eddc-4126-9943-9cd2a3488fed · outbound

This paper cites Generator matching: Generative modeling with arbitrary markov processes.

Error Analysis of Discrete Flow with Generator Matching Generator matching: Generative modeling with arbitrary markov processes

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.924147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae8d8fd7-7d49-4789-bef2-94d247cb8e16 · outbound

This paper cites Argmax flows and multinomial diffusion: Learning categorical distributions.

Error Analysis of Discrete Flow with Generator Matching Argmax flows and multinomial diffusion: Learning categorical distributions

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.928662Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5507b321-9f66-4bf3-9f73-eab155540faa · outbound

This paper cites Deep nonparametric regression on approximate manifolds: Nonasymptotic error bounds with polynomial prefactors.The Annals of Statistics, 51(2):691–716, 2023.

Error Analysis of Discrete Flow with Generator Matching Deep nonparametric regression on approximate manifolds: Nonasymptotic error bounds with polynomial prefactors.The Annals of Statistics, 51(2):691–716, 2023

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.933033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6cf230b4-5471-4825-8a10-04f657e7ebf9 · outbound

This paper cites an unresolved cited work.

Error Analysis of Discrete Flow with Generator Matching Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.937452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ec3d4bd-2b8e-4c3c-9768-ca493fd45e3d · outbound

This paper cites Flow straight and fast: Learning to generate and transfer data with rectified flow.

Error Analysis of Discrete Flow with Generator Matching Flow straight and fast: Learning to generate and transfer data with rectified flow

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.941632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71f8436a-64af-4887-9ad3-2c7ba4eca133 · outbound

This paper cites Discrete diffusion modeling by estimating the ratios of the data distribution.

Error Analysis of Discrete Flow with Generator Matching Discrete diffusion modeling by estimating the ratios of the data distribution

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.945776Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d49de71-3843-4728-bc3f-d596e7939397 · outbound

This paper cites Large language diffusion models.

Error Analysis of Discrete Flow with Generator Matching Large language diffusion models

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.950016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e7d45bc-ab69-46ee-b975-4b4668b659b1 · outbound

This paper cites Cambridge University Press, 1998.

Error Analysis of Discrete Flow with Generator Matching Cambridge University Press, 1998

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.954422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d55c5dc0-9e84-419e-8005-3ffcba5898b1 · outbound

This paper cites Your absorbing discrete diffusion secretly models the conditional distributions of clean data.

Error Analysis of Discrete Flow with Generator Matching Your absorbing discrete diffusion secretly models the conditional distributions of clean data

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.379801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 586d515b-b8fe-4b8f-a38d-79f89ceac623 · outbound

This paper cites DeFoG: Discrete flow matching for graph generation.

Error Analysis of Discrete Flow with Generator Matching DeFoG: Discrete flow matching for graph generation

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.963202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3a36658-0047-47c8-acfd-d60ed20f5b63 · outbound

This paper cites Rotskoff, and Lexing Ying.

Error Analysis of Discrete Flow with Generator Matching Rotskoff, and Lexing Ying

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.355627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 52b003a2-9932-4c88-84ce-62a4d778107a · outbound

This paper cites Rotskoff, Molei Tao, and Lexing Ying.

Error Analysis of Discrete Flow with Generator Matching Rotskoff, Molei Tao, and Lexing Ying

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.340869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 21cbf90f-f3b0-4713-9df5-fa900bf5b337 · outbound

This paper cites Simple and effective masked diffusion language models.

Error Analysis of Discrete Flow with Generator Matching Simple and effective masked diffusion language models

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.976070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 609cb1a9-d823-43af-8ef6-c1f3aeef733c · outbound

This paper cites an unresolved cited work.

Error Analysis of Discrete Flow with Generator Matching Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.980603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6fe75d1-3e0a-44b4-9337-32187c67fc3a · outbound

This paper cites Simplified and generalized masked diffusion for discrete data.

Error Analysis of Discrete Flow with Generator Matching Simplified and generalized masked diffusion for discrete data

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.984922Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ccdcd77e-ef2c-44a9-a6fa-cd38896e5208 · outbound

This paper cites Score-based continuous- time discrete diffusion models.

Error Analysis of Discrete Flow with Generator Matching Score-based continuous- time discrete diffusion models

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:38.989202Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 274dfeed-49b6-4dd4-b62b-281f4bcef406 · outbound

This paper cites Springer Nature, 2023.

Error Analysis of Discrete Flow with Generator Matching Springer Nature, 2023

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.282507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3b10f6cf-11b8-4879-8f3c-9dda97af1d96 · outbound

This paper cites DiGress: discrete denoising diffusion for graph generation.

Error Analysis of Discrete Flow with Generator Matching DiGress: discrete denoising diffusion for graph generation

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.263158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation baf168f9-47e1-4416-bbc3-d693852eb6d9 · outbound

This paper cites Elucidating flow matching ODE dynamics via data geometry and denoisers.

Error Analysis of Discrete Flow with Generator Matching Elucidating flow matching ODE dynamics via data geometry and denoisers

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.246186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0f2281cf-8f5b-4aa6-a747-5b7f18daaef1 · outbound

This paper cites FUDOKI: Discrete Flow-based Unified Understanding and Generation via Kinetic-Optimal Velocities.

Error Analysis of Discrete Flow with Generator Matching FUDOKI: Discrete Flow-based Unified Understanding and Generation via Kinetic-Optimal Velocities

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:39.006463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d31d565-40e6-46bb-be34-414572f333f2 · outbound

This paper cites Estimating Unbounded Density Ratios: Applications in Error Control under Covariate Shift.

Error Analysis of Discrete Flow with Generator Matching Estimating Unbounded Density Ratios: Applications in Error Control under Covariate Shift

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:39.011008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67989b48-4cb1-44aa-8983-5788a770c444 · outbound

This paper cites MMaDA: Multimodal Large Diffusion Language Models.

Error Analysis of Discrete Flow with Generator Matching MMaDA: Multimodal Large Diffusion Language Models

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:39.015564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1b59af7-1556-4fa9-bb62-1532ad28d92e · outbound

This paper cites Convergence of score-based discrete diffusion models: A discrete-time analysis.

Error Analysis of Discrete Flow with Generator Matching Convergence of score-based discrete diffusion models: A discrete-time analysis

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:51:39.229978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 95c45515-7d88-4f4f-81ad-aeb64f48c3e1 · outbound

This paper cites d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learning.

Error Analysis of Discrete Flow with Generator Matching d1: Scaling Reasoning in Diffusion Large Language Models via Reinforcement Learning

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:39.024676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1c75096-195e-4066-97a4-c9fa74a177bf · outbound

This paper cites LLaDA 1.5: Variance-Reduced Preference Optimization for Large Language Diffusion Models.

Error Analysis of Discrete Flow with Generator Matching LLaDA 1.5: Variance-Reduced Preference Optimization for Large Language Diffusion Models

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-15T15:51:39.029331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 754f80a7-c99b-4350-aeec-0c79abb0fe56 · outbound

This paper cites an unresolved cited work.

Error Analysis of Discrete Flow with Generator Matching Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:51:39.212670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fad86b55-85d9-41ff-930f-787fa81309f2 · outbound

This paper cites an unresolved cited work.

Error Analysis of Discrete Flow with Generator Matching Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:51:39.197702Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 30ad3bd6-eac9-4ad3-b750-aed436fa0011 · outbound

This paper cites an unresolved cited work.

Error Analysis of Discrete Flow with Generator Matching Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:51:39.182398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation 6a6b5821-445e-4395-974c-dd7fce8a23b6 · inbound

Discrete Flow Matching: Convergence Guarantees Under Minimal Assumptions cites this paper.

Discrete Flow Matching: Convergence Guarantees Under Minimal Assumptions Error Analysis of Discrete Flow with Generator Matching

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-27T03:04:57.151764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cb0e7d6c-8e9c-4939-b179-6168139146d4 · inbound

dFlowGRPO: Rate-Aware Policy Optimization for Discrete Flow Models cites this paper.

dFlowGRPO: Rate-Aware Policy Optimization for Discrete Flow Models Error Analysis of Discrete Flow with Generator Matching

Reference 106

Resolution: verified exact; arxiv_id, observed 2026-05-27T03:04:57.151764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 56a0d772-0996-4266-9cc0-6df56969068e · inbound

A Time-Reparameterized Cumulative Intensity Extrapolation Sampler for Discrete Flow Matching cites this paper.

A Time-Reparameterized Cumulative Intensity Extrapolation Sampler for Discrete Flow Matching Error Analysis of Discrete Flow with Generator Matching

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-04T16:29:56.583919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 82232d2b-f0d2-48c2-b77e-91801fd49304 · inbound

Discrete Diffusion Models: A Unified Framework from Tokenization to Generation cites this paper.

Discrete Diffusion Models: A Unified Framework from Tokenization to Generation Error Analysis of Discrete Flow with Generator Matching

Reference 175

Resolution: unresolved; no resolver link, observed 2026-08-02T05:17:46.300652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.