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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:ee2502584d8321e36c127b8b9a2b018fcd8e525ebcddf83ac62ab5afd24db34d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:c0ac3c16e485eb3633143c71356b6c30487a6d663a84c8d52d6d4fa31d43a102

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:0cc37977c21e3198b9ce4cc14812b9016856ff8f8861761c77cfedee12307875

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:af40ed01fe3a7285bacf054ef2aa5d517b75da132ffe990bb04904fe263aab85

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:bd6e93e4ffed9e2038275f6ed17714b5059e761d5fcabdcce0a2233459f732fb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:becd3695a3204a8a0a58903ffec4483f10dc4197ca5f616fc3f913abbea201d1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:b29e838606986919762630ab75fe84a3bbed7877890602010d8981e721f0ce32

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:fcad9acd77cd44a5c2fb2abfc075718196add4ea025be02190ab54051676fb1a

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:b49723cd00b2c29a8460e9e1ab62bb92176153b9405c7f5bab65b6dd0f0e0907

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:a501153c975fa095438300254aa502606800b6b44e459ca290decb90312ef7f8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:b5687fc7f3ac216398e78d4fb9aee7f48666f1469371b9f2749b3cc5167763d5

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:5cb9018308dc39d92a3a5e02c9211eba78495f467e555af0360b8f8bc68d3103

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:ca680a541efdcce01d7ec0f40f846fa592cb74db6d0dd13c776264b7be6ab183

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:bb7f9761627d54eecb740a4c19b005178f0a54eebbfb42564c47dc7eda0ceb11

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:65269df8aba0561de15c56a65197a4839467d5dba3e2cc5e96a034a38f42a221

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:8c50a06ef7895539353f712913e92b36e7844b9da1b922f29d7e83c910867380

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:096ec0a0f2f699bd40ef365ef9669bc137704d2bcb9a0fdce445fad613a103db

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:ac9d30a9624329250eba2bda0290c7a072bd2662c6d9983eb8979a145f3facb3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:968e556a9843ce1cd9f2ed511342ed56c5e46dd366752a0b18fe7682826c0c5f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-22T12:43:08.778806Z digest=sha256:ff22ff1a3895574839dbcd04f64bbab2ca3a14288c6b6c3a7078f111e781e831

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