Paper Citation Record · LEDGER

Discrete Markov Bridge

As of 11 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2505.19752.

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

pith.paper-citation-record.v1
2505.19752 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:17:14.293280Z

measured 52 of 52 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

52 of 52 outbound references displayed

verified exact1
verified fuzzy19
unresolved31
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 984a620d-e4be-4da6-88ec-7ea7817aca62 · outbound

This paper cites Score-based generative modeling through stochastic differential equations.

Discrete Markov Bridge Score-based generative modeling through stochastic differential equations

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.208996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c4e1918-28a8-47b7-bcab-3bf994af0e22 · outbound

This paper cites Denoising diffusion probabilistic models.Advances in neural information processing systems, 33:6840–6851, 2020.

Discrete Markov Bridge Denoising diffusion probabilistic models.Advances in neural information processing systems, 33:6840–6851, 2020

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.292112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03c6041d-d2b2-4300-b724-9a61553c8ee8 · outbound

This paper cites A continuous time framework for discrete denoising models, 2022.

Discrete Markov Bridge A continuous time framework for discrete denoising models, 2022

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.405277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30fc5d1c-cfeb-4ef7-837c-5d5aece19f34 · outbound

This paper cites Discrete diffusion modeling by estimating the ratios of the data distribution.CoRR, 2023.

Discrete Markov Bridge Discrete diffusion modeling by estimating the ratios of the data distribution.CoRR, 2023

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:18.340466Z

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 9c66423e-5249-4183-8c2b-a8dfb0d6ad89 · outbound

This paper cites Auto-encoding variational bayes.International Conference on Learning Representations (ICLR), 2014.

Discrete Markov Bridge Auto-encoding variational bayes.International Conference on Learning Representations (ICLR), 2014

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:18.107680Z

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 ec2da5ca-0c7b-4300-8800-8875dbf23d66 · outbound

This paper cites Neural discrete representation learning,.

Discrete Markov Bridge Neural discrete representation learning,

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.464272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28888fe4-034d-4fe5-b13e-7a27f71de82b · outbound

This paper cites Johnson, Jonathan Ho, Daniel Tarlow, and Rianne van den Berg.

Discrete Markov Bridge Johnson, Jonathan Ho, Daniel Tarlow, and Rianne van den Berg

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:17.947239Z

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 e55bc0b1-5cc9-4f73-9468-4d29ac6d1ddc · outbound

This paper cites Concrete Score Matching: Generalized Score Matching for Discrete Data.

Discrete Markov Bridge Concrete Score Matching: Generalized Score Matching for Discrete Data

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.539037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b103a83a-fcce-4d73-adda-fe9597284133 · outbound

This paper cites Non-autoregressive sequence generation.

Discrete Markov Bridge Non-autoregressive sequence generation

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.573503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8319e021-4698-4a84-b46f-2a0fcf841ca9 · outbound

This paper cites Roberta: A robustly optimized bert pretraining approach.CoRR, 2019.

Discrete Markov Bridge Roberta: A robustly optimized bert pretraining approach.CoRR, 2019

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:17.799076Z

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 807e7acd-e864-45d2-b5e2-aae4d6ada0e1 · outbound

This paper cites Bert: Pre-training of deep bidi- rectional transformers for language understanding.

Discrete Markov Bridge Bert: Pre-training of deep bidi- rectional transformers for language understanding

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.628049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 707e3a29-3734-4888-b25d-c0c00b53dd2a · outbound

This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.

Discrete Markov Bridge Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.683372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41b8f902-2c8c-4dc5-a909-77491b1d8bb4 · outbound

This paper cites Language models are unsupervised multitask learners.OpenAI blog, 1(8):9, 2019.

Discrete Markov Bridge Language models are unsupervised multitask learners.OpenAI blog, 1(8):9, 2019

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.708129Z

Source-reported events for the cited work

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Observation a9499e92-cba9-440e-b332-45d5e90bcd4c · outbound

This paper cites Albert: A lite bert for self-supervised learning of language representations, 2020.

Discrete Markov Bridge Albert: A lite bert for self-supervised learning of language representations, 2020

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:17.578730Z

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 2775b5c7-3113-4c63-94bb-46d50b688b2d · outbound

This paper cites Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen.

Discrete Markov Bridge Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.761719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 305e42cd-b38a-4430-806a-63917c371591 · outbound

This paper cites Gomez, Lukasz Kaiser, and Illia Polosukhin.

Discrete Markov Bridge Gomez, Lukasz Kaiser, and Illia Polosukhin

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.835889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c380f3a1-4dab-40dd-9e26-57dbe526f9e4 · outbound

This paper cites Deep residual learning for image recognition, 2015.

Discrete Markov Bridge Deep residual learning for image recognition, 2015

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:17.427255Z

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 6e404cb8-983a-4671-b5fc-f046bc57e94b · outbound

This paper cites Denoising diffusion implicit models, 2022.

Discrete Markov Bridge Denoising diffusion implicit models, 2022

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:12.004447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca59db53-ddac-4bca-8be6-25c9d9e67125 · outbound

This paper cites Weiss, Niru Maheswaranathan, and Surya Ganguli.

Discrete Markov Bridge Weiss, Niru Maheswaranathan, and Surya Ganguli

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:12.135705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 024c0cbd-102c-4f46-be46-5a6c6905f398 · outbound

This paper cites Diffusion-lm improves controllable text generation.Advances in neural information processing systems, 35:4328–4343, 2022.

Discrete Markov Bridge Diffusion-lm improves controllable text generation.Advances in neural information processing systems, 35:4328–4343, 2022

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:12.220269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 676180f1-f400-489d-ada9-37704337d1d8 · outbound

This paper cites Hashimoto.

Discrete Markov Bridge Hashimoto

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:12.288744Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce1ed870-b5f8-4cac-8398-b24847321cd8 · outbound

This paper cites Score-based continuous-time discrete diffusion models, 2023.

Discrete Markov Bridge Score-based continuous-time discrete diffusion models, 2023

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:17.204881Z

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 7c298ad4-f7f8-4511-aacb-0efe3d90795e · outbound

This paper cites Richemond, Arnaud Doucet, Robin Strudel, Chris Dyer, Conor Durkan, Curtis Hawthorne, Rémi Leblond, Will Grathwohl, and Jonas Adler.

Discrete Markov Bridge Richemond, Arnaud Doucet, Robin Strudel, Chris Dyer, Conor Durkan, Curtis Hawthorne, Rémi Leblond, Will Grathwohl, and Jonas Adler

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:16.978455Z

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 39d66d04-2755-43e3-b68b-5e61b2a7a651 · outbound

This paper cites Large language diffusion models, 2025.

Discrete Markov Bridge Large language diffusion models, 2025

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:16.749051Z

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 3397a982-44ad-4385-a8b6-a9e2c4050a40 · outbound

This paper cites Variational Diffusion Models.

Discrete Markov Bridge Variational Diffusion Models

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:12.497382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83a3332d-2e9a-42ae-a652-ad60a67a6af8 · outbound

This paper cites Masked Diffusion Models are Secretly Time-Agnostic Masked Models and Exploit Inaccurate Categorical Sampling.

Discrete Markov Bridge Masked Diffusion Models are Secretly Time-Agnostic Masked Models and Exploit Inaccurate Categorical Sampling

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:12.592899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cb65da5-b2b0-4e8a-896a-17c78584e56d · outbound

This paper cites Variational inference with normalizing flows, 2016.

Discrete Markov Bridge Variational inference with normalizing flows, 2016

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:12.652975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4046703c-7761-4d19-92b0-d851cfebd931 · outbound

This paper cites Kingma and Prafulla Dhariwal.

Discrete Markov Bridge Kingma and Prafulla Dhariwal

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:12.685045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d115dcc9-8389-4261-91c4-1538020834c2 · outbound

This paper cites Flow straight and fast: Learning to generate and transfer data with rectified flow, 2022.

Discrete Markov Bridge Flow straight and fast: Learning to generate and transfer data with rectified flow, 2022

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:12.777245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eeb529c0-7bcd-4853-9cb0-97c4af47a568 · outbound

This paper cites Fuchs, Ingmar Posner, and Max Welling.

Discrete Markov Bridge Fuchs, Ingmar Posner, and Max Welling

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:16.560818Z

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 a732e125-1030-49d2-84f8-1f5bcd61e2cd · outbound

This paper cites Albergo, Nicholas M.

Discrete Markov Bridge Albergo, Nicholas M

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:16.409469Z

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 c04dfa79-d029-4263-b837-fe0a56bf3143 · outbound

This paper cites Zico Kolter.

Discrete Markov Bridge Zico Kolter

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:16.271434Z

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 638f06a9-1cbc-4696-9326-4297c7a60edf · outbound

This paper cites Generative Adversarial Networks.

Discrete Markov Bridge Generative Adversarial Networks

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:13.081125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 469a9313-f514-44aa-b7b8-6fe0a20a4d32 · outbound

This paper cites Argmax flows and multinomial diffusion: Learning categorical distributions, 2021.

Discrete Markov Bridge Argmax flows and multinomial diffusion: Learning categorical distributions, 2021

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:16.077431Z

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 c07ffb8b-7e56-4e01-a812-c584a18520e1 · outbound

This paper cites Image style transfer based on improved convolutional neural.

Discrete Markov Bridge Image style transfer based on improved convolutional neural

Reference 35

Resolution: verified exact; raw_fallback, observed 2026-08-07T14:17:14.759496Z

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 7956723f-dfc8-45e3-a839-6816f0fdcf00 · outbound

This paper cites Latent Normalizing Flows for Discrete Sequences.

Discrete Markov Bridge Latent Normalizing Flows for Discrete Sequences

Reference 36

Resolution: metadata mismatch; local_arxiv, observed 2026-08-07T14:17:14.534205Z

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 b2891114-0d7b-49c5-8f1c-6850d8e965fa · outbound

This paper cites Discrete flows: Invertible generative models of discrete data.

Discrete Markov Bridge Discrete flows: Invertible generative models of discrete data

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:15.922566Z

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 00a2e2f6-3151-4bba-8ce5-9d1a14497600 · outbound

This paper cites Training and Inference on Any-Order Autoregressive Models the Right Way.

Discrete Markov Bridge Training and Inference on Any-Order Autoregressive Models the Right Way

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:13.445303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4bed6894-c34c-45c2-bbf7-b241b40d3d30 · outbound

This paper cites Bayesian flow networks,.

Discrete Markov Bridge Bayesian flow networks,

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:15.734881Z

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 74682962-66fd-4683-8468-78a85216d018 · outbound

This paper cites Denoising diffusion probabilistic models.

Discrete Markov Bridge Denoising diffusion probabilistic models

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:13.650263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3dc5d892-c263-490e-9e3f-6881aab72dbe · outbound

This paper cites Implicit generation and modeling with energy based models.

Discrete Markov Bridge Implicit generation and modeling with energy based models

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:15.548928Z

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 72b333de-aa19-4062-a9a2-40a412cdd146 · outbound

This paper cites Your classifier is secretly an energy based model and you should treat it like one.

Discrete Markov Bridge Your classifier is secretly an energy based model and you should treat it like one

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:15.296324Z

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 8701d267-c48d-492e-bba3-16dadf72908a · outbound

This paper cites Large scale GAN training for high fidelity natural image synthesis.

Discrete Markov Bridge Large scale GAN training for high fidelity natural image synthesis

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:13.852738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eaef7edc-3f41-4ab3-9b2f-bcc0cfbc52fc · outbound

This paper cites Training Generative Adversarial Networks with Limited Data.

Discrete Markov Bridge Training Generative Adversarial Networks with Limited Data

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:13.923032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c262f64b-4234-41cb-a89b-bdc780686d23 · outbound

This paper cites Conditional image generation with PixelCNN decoders.

Discrete Markov Bridge Conditional image generation with PixelCNN decoders

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:15.098930Z

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 1cc0068b-8fbc-4edb-9c49-e30f3260f108 · outbound

This paper cites Autoregressive quantile networks for generative modeling.

Discrete Markov Bridge Autoregressive quantile networks for generative modeling

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:17:14.958302Z

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 c02105a2-7daf-4276-a002-68eb61063311 · outbound

This paper cites Generative modeling by estimating gradients of the data distribution.

Discrete Markov Bridge Generative modeling by estimating gradients of the data distribution

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:14.085368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4f711ed-5b69-4dde-920c-9a6e17f9b427 · outbound

This paper cites Spectral normalization for generative adversarial networks.

Discrete Markov Bridge Spectral normalization for generative adversarial networks

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:14.142708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f5df098-990f-47ad-bc98-5ef9cae06809 · outbound

This paper cites Your GAN is Secretly an Energy-based Model and You Should use Discriminator Driven Latent Sampling.

Discrete Markov Bridge Your GAN is Secretly an Energy-based Model and You Should use Discriminator Driven Latent Sampling

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:14.217872Z

Source-reported events for the cited work

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Observation 6207ec8b-2696-4fef-8d94-7db899c7d664 · outbound

This paper cites Decoupled Weight Decay Regularization.

Discrete Markov Bridge Decoupled Weight Decay Regularization

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:14.293280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b04d0b76-f7bf-446b-82ae-80aa4c656131 · outbound

This paper cites Neural Discrete Representation Learning.

Discrete Markov Bridge Neural Discrete Representation Learning

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:11.482229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 088c4e74-d84b-4948-bdd1-24d539c2d4fd · outbound

This paper cites Bayesian Flow Networks.

Discrete Markov Bridge Bayesian Flow Networks

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-07T14:17:13.588399Z

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Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.