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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:efa67e5437ed67a0cd9da78ffa334114c2e3f2a89d071f94ddecf5749894028e

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=sha256:0722d1406fc866f33e336f6ca907a593913afca7194c0ae1db73dbc12d33e4fa

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=sha256:49b1eda560ba719fe60cc6497fe8d79efce3e34d448ff4701ccc1d444bfad05f

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=sha256:979856132af003d65873d6401d01c014677bdfaee3cf302f8f49d78b564b18b1

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=sha256:209f17c4f545b97a73ade042beddf1e3b3fb8c266ab7c11faa646db0fb65140a

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=sha256:188e2c4c83ee7de9407f788900c599e7d677defc3b4a7b59a31850b7f5de13ab

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:f6095534c00fef8cea2853d95d60af0c595ac777a09d546d42a9394dfa0ca95f

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:ca2ad644e4fec150701c1fa907b4fa9836098645b08385748d0ebefeaef44e74

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=sha256:9eae32e5c7cb58c8fde5239961b77290ea7ac3efdf2bcea235e8485eaefaca59

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=sha256:6e65bc327b95018647bf690be832ceaba68a2c1d9ffdbc753845f84f31cf6ea7

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=sha256:3213438edfa48363fd7930d7224e8c35c96d1633f0a25ad9ea499ccaa44c2164

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:e7c33f6fc310c237fd63ceba90f2ac919489c3324feed52f5281e520771260f4

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:f4456454f8e3a498dffaabdc7a851e6c8b4cecd30028f74d01ac1ee995c500b2

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:dfcbd6f0dc5a6b1295d8c19a4bb2e8a48376b5a3b846c74a12ae6b989561ec5a

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=sha256:1453f250dcc881d62c87340de7cc5a7c93919ad0449a8ec2e2468174fa1d78ae

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:b8064f959e1229b07d533ec5e633944afb587bf7c885853c0821982094bf9232

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:e1350e0ff8b55f0b9b7376e4fe70bd3d37544de35cc1fee27328b06997813ebc

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:fbff068385ee1a334dd4d02815c5281418b688b292b09f6cb413fd7fb4238269

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:b2a97acbdf50507f891b1b07262367364656ec1e4e9b6442876b5341ae69492d

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:e682d0c6649a54768caf8b8e584a0a0b82738c0556867b50cef5dbcb9745288e

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=sha256:20db88364bc0d8ff24e82d8564a6aad3330b7bdb5e57043d7fb59a38e024e316