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Paper Citation Record · LEDGER

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models

As of 2 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2511.00124.

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

pith.paper-citation-record.v1
2511.00124 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T03:01:56.814056Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-02T06:30:47.504484+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved7
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0fa6a7bc-e7a8-469a-b16b-3556b85a0e78 · outbound

This paper cites an unresolved cited work.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Unresolved cited work

Reference 1

Resolution
malformed identifier
doi_truncated, observed 2026-05-18T03:02:21.704577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:cf2b7d4a4338f80bf80259942738f604be78fbc338ea640794e8f77f01d72f67

Observation ab4fbc20-987f-4dd9-b2a8-a700ab580a73 · outbound

This paper cites DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Steps.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models DPM-Solver: A Fast ODE Solver for Diffusion Probabilistic Model Sampling in Around 10 Steps

Reference 2

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T03:02:21.715586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:558b2e727640892f8e9dfd6e6afe95ded1fbb305a4f9b94031d92e846bea7145

Observation 82b518b1-9cd1-4315-83af-6065b6fc2895 · outbound

This paper cites Guidelines: • The answer NA means that the paper does not involve crowdsourcing nor research with human subjects.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Guidelines: • The answer NA means that the paper does not involve crowdsourcing nor research with human subjects

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T03:02:22.063514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:fe6bb00ae74b53341736bd74134326cb97c920b0f3859cd02b8c6a78a55bdf2d

Observation 023a17e1-630d-48cb-9a06-8a281719c4cd · outbound

This paper cites an unresolved cited work.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-18T03:02:22.048456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:494bc5a1697ec15d87b7f6c7ad2087633e6fe7f15841c2565ff595a3ad9538eb

Observation 953d1441-368a-4650-8f7b-886334efe07a · outbound

This paper cites an unresolved cited work.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-18T03:02:22.027886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:c3ffd238824663c1d407d12608228683003e3cd709264d086f95ab3476c43038

Observation 02cb7877-6d03-4355-9d28-a9f7234b7803 · outbound

This paper cites an unresolved cited work.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-18T03:02:22.040579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:9f5d5909c44a85b97c92f363fcf903f52892c6911c5cac148af9b62898303e1c

Observation dff32e4a-32ec-4ca4-b618-ab198a192750 · outbound

This paper cites Insert this in (B.3) to get |fp(t)−f q(t)| ≤a nM|t|+b nB(n+1)/2|t| n+1,(A n) wherea n :=Pn k=1 1 k! , b n := 2 (n+1)!.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Insert this in (B.3) to get |fp(t)−f q(t)| ≤a nM|t|+b nB(n+1)/2|t| n+1,(A n) wherea n :=Pn k=1 1 k! , b n := 2 (n+1)!

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T03:02:22.074238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:4790eb88dec21bddd08fe657f959c16d7a33bedeb9a990a8b58bb6437f365a9f

Observation ec954ff8-9c9a-4c16-82f7-96762d480d23 · outbound

This paper cites an unresolved cited work.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-18T03:02:22.070753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:992cfb8a5bfea27060266c9b000fde82361681a40d3e8d5413c25bf25c0362a4

Observation 2a59119f-f688-46fc-a3d8-9e4a9164b374 · outbound

This paper cites an unresolved cited work.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-18T03:02:22.036086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:f2d44f9f3a058718c4a2c13b908cf0a73f2f06e668f8dbf69f59d759b1c1ad92

Observation 9a883777-b69a-4c0e-922f-868cd3357ff5 · outbound

This paper cites This distribution for our case isN(0 d,I d×d).

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models This distribution for our case isN(0 d,I d×d)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T03:02:22.032201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:2f079b5546641de0615d218419403604b0d7d22eecbffeb7c7a685d16ff2f3b9

Observation 50a2f1cc-c782-4c56-9ade-2dcb1118d534 · outbound

This paper cites The VP-SDE process is areversible process with respect to its Gaussian invariant measure µ.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models The VP-SDE process is areversible process with respect to its Gaussian invariant measure µ

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T03:02:22.023582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:4844dd17056269fc715e74804d36834b2b88dd1e2757427c745f2a54426cd2b9

Observation 64670d5d-32ef-4408-8787-8a502e0aeea2 · outbound

This paper cites The VP-SDE process is a textbook example of a system with a spectral gap.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models The VP-SDE process is a textbook example of a system with a spectral gap

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T03:02:22.056265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:f0d0709fdeeff3ba273195b1251ac56369ac8eb0ad9d3198021a86985f7f31b4

Observation 3f782a5a-603f-4d44-9529-0e47234e768a · outbound

This paper cites The invariant measure µ is Gaussian, meaning its density decays extremely rapidly (exponentially in ∥x∥2).

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models The invariant measure µ is Gaussian, meaning its density decays extremely rapidly (exponentially in ∥x∥2)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T03:02:22.067330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:7af0bbf05a70189bb7a32d3ca45d02c061f1cd28f09339791294e056dc1d7346

Observation f14104a0-9c92-4934-9095-49957e1efb8c · outbound

This paper cites Starting with broad categories (e.g., animals vs.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Starting with broad categories (e.g., animals vs

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T03:02:22.052307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:d1fbddfbe402a23416852c5808a90962193029eb4abbeda4f895a70eaa722df3

Observation 273ad436-c1de-4ab9-989e-8cb24f2ee697 · outbound

This paper cites an unresolved cited work.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-18T03:02:22.078429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:ab43e43154277747df7d1debfc531a0bb6f84c43ec89c3f1b3430a903bdbc921

Observation ba46a9ee-ca69-4166-bccb-eb5247fd7f33 · outbound

This paper cites maximum potential mergers.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models maximum potential mergers

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T03:02:22.044635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:6ee6c6ab82f6b1b5240cd9b4cd9e12933260f0d5fe932291d2027abae0345f6a

Observation 0a728917-3dbb-499b-85f8-78dc1d69ebb5 · outbound

This paper cites an unresolved cited work.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-18T03:02:22.059790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:721b4fe48f29acee220375e4aba288e4f99255119bb566f30edab8a00deedafe

Observation 1df9b1e5-8350-4c79-9da3-0213f8f08aac · outbound

This paper cites Siamese Cat.

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models Siamese Cat

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T03:02:22.081854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-02T06:30:47.504484+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:568043e3a24c9be92b607c727a9c79317a920f9b021d7f663113213e230acf03

Pith citing papers

No inbound Pith citation observations are available.