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Paper Citation Record · LEDGER

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models

As of 17 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2511.18159.

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

pith.paper-citation-record.v1
2511.18159 v2

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-22T12:43:08.778806Z

measured 21 of 21 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T05:17:34.633934Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved12
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 809e515a-795e-426e-8c7e-90ebeda6162f · outbound

This paper cites Huiwen Chang, Han Zhang, Lu Jiang, Ce Liu, and William T.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Huiwen Chang, Han Zhang, Lu Jiang, Ce Liu, and William T

Reference 1

Resolution
metadata mismatch
arxiv_id, observed 2026-05-22T12:44:51.807835Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:24b903467d30e674f0fe24c03911c3a1cea23ab32e9669c24c44c6255d7e4c9d

Observation a72252d5-25ae-45a8-b3d5-18c65b34da7e · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.014570Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:217a5ae006f7ed1714203b6c82895fc2e02c438a1b4fad3f13f3c90753576214

Observation a151769a-3b93-49c5-8be2-8bd3e00a2111 · outbound

This paper cites Restricting attention tointerpolatingmasked diffusion models—i.e., those whose forward process qinterpolates between clean datax∈ Vand a target distributionCat(·;π), Sahoo et al.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Restricting attention tointerpolatingmasked diffusion models—i.e., those whose forward process qinterpolates between clean datax∈ Vand a target distributionCat(·;π), Sahoo et al

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T12:44:53.068177Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:55b78ee9e72b150b2377dce224cad3672d6fa5cd8d9fbda19ac30b6d8759feed

Observation 7dee4671-dd6c-4f71-ac2b-ec413bdd632a · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.064965Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:5eef74c72e8b9c1ba9b9eb7ca2ba29801781e82b2a3d4b739f0eafdf93451ace

Observation 3482a664-4d09-4f95-8c1c-5432c2d6c182 · outbound

This paper cites via GAE).

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models via GAE)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T12:44:53.061859Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:8a85b90578594e7136e58d3267166189b3c237219adaae2a13afedd41d31b307

Observation be61f9c2-00b3-4c03-8e79-08f09c6cd036 · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.058841Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:6a4091f646eb3118b214a29877fd919f415ecb6e80340f510cea574a94e2f8c1

Observation 84aed037-6bf1-4dcc-b215-2d2bd7029fcd · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.055436Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:d64353a7b3d903fc55c7d112c975f4c9e1ad8a7ae25142affa33aebad9d34782

Observation bb2e4c80-eed6-4a1e-a00a-6da74e7aa747 · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.051491Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:fef5e6ed65be6007d59d2d811e5cab84b1a1fb2215d0b393b74e940eb185e6e6

Observation 1602ebc5-1461-4d31-8858-5755b3d9f7a2 · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.048369Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:29ef2a4ea14d8faa75b3636d67845b639e3892bf9c9287e33217b7f0ccdd2df0

Observation 7ecf68ad-43df-416d-b9df-73160878b924 · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.045271Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:b8c87a9592298a3dca852db3b3b0cbd3175b837afd302adb9e120c41e06a26c5

Observation a39b67d2-30f7-4a78-bc5c-29a11d5b2212 · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.042699Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:cc5265be52a928e3fd42f07984a4d987457b330cb98688fa19dbddf40e5a800c

Observation cc67e94b-cd02-4541-95bf-997b0e049622 · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.040101Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:b19c51e2cb23a3e8d55c267a48c7a7e288447146561472a7babeeb266dce8d5d

Observation acff33d5-0fd9-422c-94b9-87cf3bdb0c53 · outbound

This paper cites A.3 RELATEDWORK In order to reduce training variance in diffusion models, the following strategies have been proposed: • Meng et al.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models A.3 RELATEDWORK In order to reduce training variance in diffusion models, the following strategies have been proposed: • Meng et al

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T12:44:53.037380Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:cd88d4e8df5efcd796657b0a58cbafa848cd904f056f4c29881beffea848f500

Observation 52fadaeb-49d6-4acc-9800-daea4c8520a1 · outbound

This paper cites By the law of total variance, Varx0,t,xt(Y) =E x0 [Vart,xt(Y|x 0)] + Varx0 [Et,xt(Y|x 0)].

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models By the law of total variance, Varx0,t,xt(Y) =E x0 [Vart,xt(Y|x 0)] + Varx0 [Et,xt(Y|x 0)]

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T12:44:53.034251Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:a11b49451202645e8a731b82725f8d0f7dc29189021036a02fe7ebd00d48f372

Observation d44c35dd-6e43-4fa8-ab6d-6967088ca38e · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.031419Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:aaa13c40762b8d18a42832cb6a122a6ffbc5a8f3e84753486a06c357266e7479

Observation 4b79c0c5-4c42-4965-8394-f509ab331cc5 · outbound

This paper cites A.5.2 P-POTS: PARETO-OPTIMALPROPERTY Consider the reweighted estimator 1 p(t) lθ(x0, t, xt), t∼p(t).

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models A.5.2 P-POTS: PARETO-OPTIMALPROPERTY Consider the reweighted estimator 1 p(t) lθ(x0, t, xt), t∼p(t)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T12:44:53.029289Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:8d310a42ed8b53b2e043922894e01f45d96b282982d8272f02e6ac7f326e3037

Observation c1b74890-5e08-441d-8b56-9209627544a2 · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.026297Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:76c6c5d9b4a6bbe0e16ac3e06f84f2bc3b9168cb44e5b2aaa5259e96158b0322

Observation 9d4701f9-2889-49b1-9d75-f6c266b75172 · outbound

This paper cites Under the assumptions (A1) All tokens inRshareµ R, σ2 R; tokens inCshareµ C, σ2 C.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Under the assumptions (A1) All tokens inRshareµ R, σ2 R; tokens inCshareµ C, σ2 C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-22T12:44:53.023389Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:f9825d6c62373c78fe76b6949e6d5f6c8d62dc4477142a08daeb3a56fac11836

Observation 7d5a9106-80b4-4df0-abd5-eb498c988fdd · outbound

This paper cites an unresolved cited work.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-22T12:44:53.020751Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:d3e931f206736a4a9ec5b850af1754450a8559d0912cb07bed6aef10dcf14300

Observation bf358127-2ac4-440d-8698-a5f0d421a651 · outbound

This paper cites While settingn=Bresults in highly fine-grained strata, it may lead to unstable estimates within each stratum due to too few samples.

Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models While settingn=Bresults in highly fine-grained strata, it may lead to unstable estimates within each stratum due to too few samples

Reference 20

Resolution
malformed identifier
raw_fallback, observed 2026-05-22T12:44:53.018144Z

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.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:e5dce938244446fb80b6a4d8cbb03636e6267eea1c7519ad4089d1bf67147afb

Pith citing papers

Observation fefb9a68-4acd-45a4-b24c-9767a6ca6e2f · inbound

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

Discrete Diffusion Models: A Unified Framework from Tokenization to Generation Bringing Stability to Diffusion: Decomposing and Reducing Variance of Training Masked Diffusion Models

Reference 86

Resolution
unresolved
no resolver link, observed 2026-08-02T05:17:34.633934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T05:17:34.633934Z digest=sha256:291dc53875ae5d7cb61bc794234b65d106433781cf35993efc3791872ab42f2c