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Paper Citation Record · LEDGER

Almost Linear Convergence under Minimal Score Assumptions: Quantized Transition Diffusion

As of 7 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation 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 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-12T03:52:05.779559Z

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.179024Z digest=sha256:93effb0e6453817355f25efabd867d4933efa80effbb4192f4e4d6e7465d18cf

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.264932Z digest=sha256:088331009593b21ad5f595d06cef537080fae07c3b0b98b851e07371d80fa43f

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.374588Z digest=sha256:d5b5462956ffb3a884fa3898c5c0f321c5737c70b93e0ab1a0e38f92c9802f39

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.487215Z digest=sha256:29af9a62d59fd1716d357b67ae7b427fdce2f814a085c1c3ddc533303b6a1930

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:46.588062Z digest=sha256:aa7c95cabb6b54947bb46595e429e0f7b064240aec3252bbb5a25fabf703e568

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=sha256:3bc026d538d0c3fb6b2ddb9bc62e9909675d21576199bc80027add36840f3308

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:b5d4d8d93586d25a4885f2cada0edb0f20141d26c3ef58f9b46719bfd05ed9d6

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.019031Z digest=sha256:7375c988186fd3824aff4ad8b2cc28fe0fc15cefdc98ef2494c782ee489734be

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.172015Z digest=sha256:320a15b326557b6da4b6262047ba3cb825eb93ae2c64f1f799ab82eb4dcd3203

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=sha256:0cf44ac9eea1867898deb775e5643d129c401f3f51f008d4b28a78c1ea82fd34

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.444175Z digest=sha256:7271d95b7a367b03a020229559af7bd030905edfbc45d4f8fd01d480cd681938

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.625833Z digest=sha256:49090b83169d67f65b14941075595b3f21e9dba09a9804f65d58d06fe92a5b4c

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:47.766667Z digest=sha256:5308284ac7848b4979ce2f0a460666c9bc6e03e0314843fbc5d6ea0d1c6072c0

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=sha256:907a63c7c4ec31e9fbbc66be8332d4b3261b92e4bf58a1e6c8f218960cd817c4

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=sha256:44256429877215aac42b4ab16cf75e99b5581d3dea496a064ca5887959589e2f

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:e181630905687ffa7ea872a7bdd06318cf67ff4c129d4b152045e7dc1250352b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:48.276127Z digest=sha256:d4cc976a8bd62816b7f52a9f3f3ddc4290d4260d55f0070e0d91da9756a2422c

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:48.399856Z digest=sha256:4be87f398c89f9a2ce59264c2ba734903022dca21116e25c0f838b63c0e853fa

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=sha256:2e7ad153264e1f9af0a5cbd6a18b14a7aa31de0b4bca147dfddad73fcf8de01c

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:48.623191Z digest=sha256:3cffe47a3001113b93a90cd1298262d259b7cc184bf4cc6c15ad4fc7531fd877

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=sha256:090ac015e35e6f13434bc7d62f415b90d270fc720990e617da9bcac37bfb5718

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=sha256:1910dd080592a05a62d4b484727f29457792eb3f7b6d2dcc8831958b4ded8497

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=sha256:03121047c97b77ce0fd9369c983f68c78ad2d0bb38e5270fd9690086942ed6f1

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.032217Z digest=sha256:7bdd2ed1f1099394c8afc5237ccb2ca304ad4074ee313e9afb66153bd31d3a99

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.172466Z digest=sha256:8fbdd6e74de998a47ba329ca3237e5ae484fd733618d9f9ccf3150d0ad1178c5

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.313003Z digest=sha256:fcb554a3254416356b4df6b43dc86f6f1093c1e1aed9611582e277dc88a06d6e

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.436159Z digest=sha256:0be71aa2588ec4472a47f025cbed975ae105ae9499c9709a400f39d150d59f76

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.531568Z digest=sha256:a7887fba8f4f10c3833732c2a99ca9bbdd11c7dcd590461e1351d1bb5ed0cbfd

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.617225Z digest=sha256:91ccbdaf7c9349edfed9c5291ae299fceb77adce6f40a07bde48cc21d8c7bc0b

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.739758Z digest=sha256:007763ddafbd3cae5f5bd2efdd90a2baaab4bfd80774621c887a3b3b146fc74e

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.847147Z digest=sha256:fbf9785b69ca006cc7461726e751c19c68ba0bdd3ff6670254b443b0b5954a06

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-08-07T13:27:49.967522Z digest=sha256:29c3476e3be94f03e68efb0dc765b37612c587908ea87e7a54e01bde275935f8

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:d430e48cfa78bfd9e776c7fc40d7531674941f691fa3ffc17ade6353d2038b72

Pith citing papers

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 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-12T03:52:05.779559Z digest=sha256:091bced073f31eb9673ff3981c47aecb030a9375333acf9c4b6b13c528902e01