Paper Citation Record · LEDGER

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy

As of 4 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2607.21372.

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

pith.paper-citation-record.v1
2607.21372 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T07:44:50.605972Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T12:59:57.852406Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

32 of 32 outbound references displayed

verified exact3
verified fuzzy0
unresolved28
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6202ffb-75f2-4419-871c-29a550f75221 · outbound

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

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Johnson, Jonathan Ho, Daniel Tarlow, and Rianne van den Berg

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:46.323897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d57d304d-f691-4afb-9d19-5c1533ab73a7 · 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.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy From denoising diffusions to denoising Markov models.Journal of the Royal Statistical Society Series B: Statistical Methodology, 86(2):286–301, 2024

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:46.433511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a967763c-e127-4ae5-856b-31f45196d98d · outbound

This paper cites Breckon, and Chris G.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Breckon, and Chris G

Reference 3

Resolution: verified exact; doi, observed 2026-08-01T07:48:38.033771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 15577d26-1c1a-46fd-8107-5e128494cf4b · outbound

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

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy A continuous time framework for discrete denoising models

Reference 4

Resolution: verified exact; doi, observed 2026-08-01T07:48:37.598138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation db25ba35-d52a-4dd6-8be8-25897084d571 · outbound

This paper cites PixelSNAIL: An improved autore- gressive generative model.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy PixelSNAIL: An improved autore- gressive generative model

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:46.868676Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eafcd290-fd3c-48b8-8458-a864cefcee8f · outbound

This paper cites Generating Long Sequences with Sparse Transformers.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Generating Long Sequences with Sparse Transformers

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:47.066675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9af98403-96a6-49a7-afe2-a64f28343ef3 · outbound

This paper cites Fast projection onto the simplex and theℓ1 ball.Mathematical Programming, 158(1–2): 575–585, 2016.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Fast projection onto the simplex and theℓ1 ball.Mathematical Programming, 158(1–2): 575–585, 2016

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:47.191058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9841c281-f0ef-4e2f-baea-3d47f7d62b40 · outbound

This paper cites Efficient projections onto the ℓ1-ball for learning in high dimensions.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Efficient projections onto the ℓ1-ball for learning in high dimensions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:47.321123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 059be9a0-8557-4cd9-a015-88b75599033a · outbound

This paper cites OpenWebText corpus.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy OpenWebText corpus

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:47.452536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac59e1ee-9a5c-48b9-a105-4f6dcab762e6 · outbound

This paper cites Uniform Diffusion Models Revisited: Leave-One-Out Denoiser and Absorbing State Reformulation.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Uniform Diffusion Models Revisited: Leave-One-Out Denoiser and Absorbing State Reformulation

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:47.551997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f303e3cd-8b0b-42bd-a06f-0ea2495edde6 · outbound

This paper cites Diffusion- BERT:Improvinggenerativemaskedlanguagemodelswithdiffusionmodels.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Diffusion- BERT:Improvinggenerativemaskedlanguagemodelswithdiffusionmodels

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:47.671128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f30c8669-f32c-43b3-998b-8cbeb3041d2d · outbound

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

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Argmax flows and multinomial diffusion: Learning categorical distributions

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:47.827206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d76a79a-2337-4143-a80b-8e127c07b875 · outbound

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

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Learning multiple layers of features from tiny images

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:47.923924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d32451a6-332a-4b96-9aa0-83d2f7dade4c · outbound

This paper cites Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:48.056152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c522680-aa28-4bdc-85af-7ab2ab168aaa · outbound

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

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Discrete diffusion modeling by estimating the ratios of the data distribution

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:48.239888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df94439d-a118-4da3-b068-96037ba68a4e · outbound

This paper cites Concrete score match- ing: Generalized score matching for discrete data.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Concrete score match- ing: Generalized score matching for discrete data

Reference 16

Resolution: verified exact; doi, observed 2026-08-01T07:48:37.381129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 178d6915-a7b4-4ae2-ba7d-3271db24af89 · outbound

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

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Your absorbing discrete diffusion secretly models the conditional distributions of clean data

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:48.494594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ebf4c27-20bc-46c8-afe7-5c5cd0922c30 · outbound

This paper cites Image transformer.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Image transformer

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:48.661207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44818548-e440-4a04-9348-88229ebc780f · outbound

This paper cites Scalable diffusion models with transformers.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Scalable diffusion models with transformers

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:48.794222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 587b7f2d-a3ae-43b0-86be-602d298d7a8c · outbound

This paper cites Language models are unsupervised multitask learners.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Language models are unsupervised multitask learners

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:48.925510Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eab3c181-1ac9-49c1-bb53-a3889de3bd07 · outbound

This paper cites Chiu, Alexander Rush, and Volodymyr Kuleshov.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Chiu, Alexander Rush, and Volodymyr Kuleshov

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:49.042419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1ed1f94-3664-420b-b155-986a63d7afea · outbound

This paper cites an unresolved cited work.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:49.148019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c5b1cfe-6bb1-4a5c-a084-f93dd790fca8 · outbound

This paper cites an unresolved cited work.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:49.296500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f55f16f3-e942-4d79-b401-5fe1302c4617 · outbound

This paper cites Deep unsupervised learning using nonequilibrium thermodynamics.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Deep unsupervised learning using nonequilibrium thermodynamics

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:49.460031Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea1ed12b-aaae-4b1f-9661-f696da34bf5f · outbound

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

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Score-based continuous-time discrete diffusion models

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:49.728157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 756dc874-d419-4d3a-bf97-e03a897244be · outbound

This paper cites Pixel recurrent neural networks.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Pixel recurrent neural networks

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:49.903937Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b72185b-ec2c-4a39-a13a-e78c9ff75cdd · outbound

This paper cites Conditional image generation with PixelCNN decoders.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Conditional image generation with PixelCNN decoders

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:50.059206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 066fc97f-2432-4c14-9275-0af226112a01 · outbound

This paper cites Generalized interpolating discrete diffusion.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Generalized interpolating discrete diffusion

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:50.202726Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c976ff2-9baf-4c40-a109-ec1bbd3e4c90 · outbound

This paper cites Susskind, and Navdeep Jaitly.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Susskind, and Navdeep Jaitly

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:50.483690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa34789b-6985-4317-8542-331c83d51a4b · outbound

This paper cites fight” Russia’s aggression against ISIS with “love for neighbour.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy fight” Russia’s aggression against ISIS with “love for neighbour

Reference 30

Resolution: malformed identifier; no resolver link, observed 2026-08-01T07:44:50.605972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6037154-caf6-4e50-884e-17ad1d8a51de · outbound

This paper cites an unresolved cited work.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Unresolved cited work

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:49.575668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb87746a-0492-4fa2-baa4-63bda0d8a810 · outbound

This paper cites an unresolved cited work.

Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy Unresolved cited work

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-01T07:44:50.367678Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation af94d7c2-31d1-40b7-91d8-9711cd8b6d0e · inbound

UNIFUSION: Adapting Autoregressive Language Models into Discrete Diffusion under a Unified Reverse-Rate Objective cites this paper.

UNIFUSION: Adapting Autoregressive Language Models into Discrete Diffusion under a Unified Reverse-Rate Objective Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T12:59:57.852406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.