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Paper Citation Record · LEDGER

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion

As of 23 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 2 inbound Pith citation observations for arXiv:2505.21892.

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

pith.paper-citation-record.v1
2505.21892 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:27:50.096113Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:46:18.924925Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T06:51:29.556346Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved26
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8f4efd51-9556-45a2-8910-658701ea50e6 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:55.429886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.179024Z digest=sha256:e43e5727d1fa3e4d986be16a82286538410f7e34d8aa87e490249139dddfd2a1

Observation 0470d5ea-a694-4cf2-8832-e4df65906da4 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:55.291172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.264932Z digest=sha256:d1e09532db8d2525552785a3553cc34af97a64ac60dd3172f760483ea1334869

Observation 9d24ea83-b848-43a4-98a4-4a00f0f99324 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:55.067504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.374588Z digest=sha256:592931f13955438e49e673d3ba559f7193a4ad0c4e836f73b8dd9df5fa5cff2d

Observation 89119647-f11f-44e5-8981-028381f1a0c0 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:54.855568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.487215Z digest=sha256:110647aa6dc0be5a1f00781ecbe69e635d346917019f92a1c8cc1a1855a1427d

Observation adae610e-1887-45b9-8c4a-daa43d9cb3dc · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:54.608577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.588062Z digest=sha256:dcabf8f25989899be5862b9922b05710761f31b109c4b9e2337aa00864e1a174

Observation 3c4621d6-4713-4f15-9c6d-8a0417745cac · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:46.697638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:46.697638Z digest=sha256:20607c765a61e387a2df16190173128673019602565d83fb17d68258e264e4c6

Observation af43a2af-664d-483f-b310-72526d0fa32a · outbound

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

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Convergence Analysis of Discrete Diffusion Model: Exact Implementation through Uniformization

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:46.876215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:46.876215Z digest=sha256:2f564a1e58dd89ed7c84fe2732b39fdd7e2598c7b59e9c9200fd1bb0ec7d3fd5

Observation 0893cc9a-b270-4d1e-9c9a-d84a2a2cc42e · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:54.239545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.019031Z digest=sha256:4af9c4a23ecf3e78296a4a21a23d47909c8b8210e1dd72cd6f547aeb2611c7cf

Observation 896c7db2-f57e-43be-9f10-28510292f824 · outbound

This paper cites Diffusion Models in Bioinformatics: A New Wave of Deep Learning Revolution in Action.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Diffusion Models in Bioinformatics: A New Wave of Deep Learning Revolution in Action

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:27:50.447814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.172015Z digest=sha256:19caeddc70c247efb261994dff9024259e8fb66e1166c4384bc2a37fdc88493f

Observation be6d13c8-e632-45d9-af79-f02aec25eeda · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:47.313694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:47.313694Z digest=sha256:3e8a69b3c36be1ceeaf9f42a43808575e4ecf1116434db352ec3954463d965c6

Observation 12fecd58-ff05-4320-925c-32813f0830d6 · outbound

This paper cites J., Norouzi, M., and Salimans, T.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion J., Norouzi, M., and Salimans, T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:53.941087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.444175Z digest=sha256:25ce1bca47157a5c5850041e1a59aa0754674bf0219dc43f008a6316cc520d34

Observation e96120ad-f178-4c07-9b14-ebada326ddb8 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:53.692618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.625833Z digest=sha256:9330c278c272f319373efe0f414e59963af7d528d636f50e97d2d933ecf7530e

Observation ac9e43d7-3d26-463c-b399-8a4875d7cdab · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:53.473390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.766667Z digest=sha256:b2fd038eaaa37b5f8aad02740897c058f9be50fdac346c79c52a59b688bdd07d

Observation 955df634-9a43-4f36-9b2a-eafc210dc7c5 · outbound

This paper cites DiffWave: A Versatile Diffusion Model for Audio Synthesis.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion DiffWave: A Versatile Diffusion Model for Audio Synthesis

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:47.904972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:47.904972Z digest=sha256:680e30bf8c185c84818878accb5bf1182bcbea4bc7afd414d6813917515f2205

Observation 5a9398c2-c4ff-4846-b220-4214506b5386 · outbound

This paper cites Provable Acceleration for Diffusion Models under Minimal Assumptions.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Provable Acceleration for Diffusion Models under Minimal Assumptions

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:48.033956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:48.033956Z digest=sha256:60288546e0f1572a140a4c6ff8626fd9c89f1bce7a0b0b96587cb55d42c4092a

Observation f6630817-a555-4b8c-ba24-9d8b1d170cea · outbound

This paper cites O(d/T) Convergence Theory for Diffusion Probabilistic Models under Minimal Assumptions.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion O(d/T) Convergence Theory for Diffusion Probabilistic Models under Minimal Assumptions

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:48.162141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:48.162141Z digest=sha256:ce8f61c22115371d1ca1be8037aab1e0ca6ee11426644aa1cad2f84ede09d6f7

Observation f2f36b8b-02b5-473e-9670-041f75881336 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:53.163777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:48.276127Z digest=sha256:048a854fb89d55eefd526f31a8156ef7f3e967bfc61098bb5985be64a7349ee6

Observation bdcb274e-0f0a-4639-869f-b1eada105091 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:52.944352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:48.399856Z digest=sha256:1f189e600fbdf8273e36de95faa57c4c72aa608d25f5b100823708f7a74bfaa5

Observation 74c9b351-cac9-4eeb-b73b-8cd614878bc8 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:48.493406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:48.493406Z digest=sha256:a23d210c9a4cec6401f1cdac1f2400a3ca1f6cbeaafee0051468ef8516771b4d

Observation 7c9bbe47-6536-491b-8075-e1f4baca70be · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:52.644625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:48.623191Z digest=sha256:2c027516236286d9c2a307598ea991dfa2d9cc762c5bd75fc3da3acb44a739dd

Observation 7d3d6a37-e682-4b4a-9810-571b6f59462a · outbound

This paper cites M., Tao, M., and Ying, L.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion M., Tao, M., and Ying, L

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:48.761070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:48.761070Z digest=sha256:c6732391c25778db8a8caf343c2a2e648d078cb9e6a45b6cb76b1add11d2f1da

Observation 7b2512f9-c55e-4dba-9c34-5251e71e89d8 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:48.851968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:48.851968Z digest=sha256:9a4ad23779ea9e978671f8a8df3871d3494dc74f80d11cfa64ac3f13c5223a19

Observation ffb4c7f8-0f6e-449e-b7f9-c7e02621957a · outbound

This paper cites ArchiSound: Audio Generation with Diffusion.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion ArchiSound: Audio Generation with Diffusion

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:48.937150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:48.937150Z digest=sha256:02e06262c1a4fc095a1c21d49b11abaaa0de0fb2c3cc2990bcac809658ec892d

Observation 0d56b166-5d45-4e29-9886-cfc7d24414e5 · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:52.463623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.032217Z digest=sha256:160a3f6b8f862b5f44c09b3e69ec8d80951c31e2659fbaf13b1ef157283634e1

Observation 5d2d2908-db2c-45ec-8d27-d18464036848 · outbound

This paper cites and Ermon, S.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion and Ermon, S

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:52.238210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.172466Z digest=sha256:5ea5b45ab2415635a6bac1b647259bba15ec6d8575b296381e69b7d06d3ee3b6

Observation 2ee3b1a3-e8fa-4688-82d9-0bee7e802361 · outbound

This paper cites L., Yim, J., Tischer, D., Baker, D., Broderick, T., Barzilay, R., and Jaakkola, T.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion L., Yim, J., Tischer, D., Baker, D., Broderick, T., Barzilay, R., and Jaakkola, T

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:51.995572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.313003Z digest=sha256:edf81897bb7e15a6342b36d15f026e52f336753ed64ea9f3fe4fa613df6131cc

Observation 44a055ec-3a96-4307-ace1-d45f6fe704da · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:51.789655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.436159Z digest=sha256:800d8753744ff943d2f1bc68623fcbbf9b39ecd14c218204f9a13e4618768bb5

Observation 57f81775-de70-468c-8f52-28f2215bd3ed · outbound

This paper cites M., van Brummelen, S.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion M., van Brummelen, S

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:51.517142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.531568Z digest=sha256:1819fa77e73d13e8037fa8a0db69d593f095abee90c72fbdbbb5c2b1405eeabc

Observation e0b14d1f-aac5-4caf-8d93-7fe249033d62 · outbound

This paper cites and Wibisono, A.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion and Wibisono, A

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:51.322116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.617225Z digest=sha256:869cfb2e68fd646591a3ea1c00d8f705a92670f2db3badd4db8b91805956c7fd

Observation 8d193708-ea08-41cf-b724-4a27d2899cdb · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:51.083877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.739758Z digest=sha256:71cf9b0e903a910ec54fe6a4abceb1b976c39d53a6c30a5850a58e873ae8a058

Observation 677d6f83-9320-42a1-85f8-d8314d1f3d69 · outbound

This paper cites L., Juergens, D., Bennett, N.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion L., Juergens, D., Bennett, N

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:50.857948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.847147Z digest=sha256:a065e059c82151242d306fc4b6b3db5645418edabc5b4b515ce7661bba559b90

Observation 1cf86217-19ac-4bbe-b6e7-295a847d1ada · outbound

This paper cites an unresolved cited work.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:50.636346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.967522Z digest=sha256:97e0992dd46cf4578461cd106da6d70a64ec37b79b031595d93d89aeff0a0a58

Observation 89146bd7-c877-455a-81d0-ab9eac402cc2 · outbound

This paper cites Convergence of Score-Based Discrete Diffusion Models: A Discrete-Time Analysis.

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion Convergence of Score-Based Discrete Diffusion Models: A Discrete-Time Analysis

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:50.096113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T13:27:50.096113Z digest=sha256:d14d53338255c921b469e472e1244a7ec43b56bc8e5777a5d66ae66068ae26a1

Pith citing papers

Observation 48892a68-87ea-45c0-bdfe-b99ab5daddb5 · inbound

Corrected Samplers for Discrete Flow Models cites this paper.

Corrected Samplers for Discrete Flow Models Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion

Reference 2011

Resolution
unresolved
no resolver link, observed 2026-08-15T15:46:18.924925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:46:18.924925Z digest=sha256:1add3813502ccf53325fce1a29eb8f9f111beb1320108f1eab87ddc363103dc7

Observation 9dce28d8-e4ea-49f2-a51c-fe4a33310ef9 · inbound

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

dFlowGRPO: Rate-Aware Policy Optimization for Discrete Flow Models Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion

Reference 115

Resolution
verified exact
arxiv_id, observed 2026-05-12T06:51:29.561188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-05-12T03:52:05.779559Z digest=sha256:f9163eca1599b3728765a94910417970329d081ecc61ea4574d4fd017acfa716