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Paper Citation Record · LEDGER

Cross-fluctuation phase transitions reveal sampling dynamics in diffusion models

As of 4 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 2026-08-04T06:34:03.388597+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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:2eaa171054ae5a457b1b4511e183f2ecb45e88a8c052a15a0ee3492a3bde8b1c

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:1fa270f4c89710b947bcb333c7e9647fbfb51e7c703760dcec01fbbef41177ec

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:8bf92b189b0d5a8b04a5881db6994dde124f3bb08a6bcfa622190275dc7f5bdb

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:33f9304c685c68ab67329c14110bd115aff6be0f3a09030b8f11d0dcb058997a

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:5b9b5ef5bb962ce684112f217cf55f7414a938f73211f99ccaa71816816ed25b

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:527ddcc7fcec2e3d85f2c801617d18ab77b65727d9fb8556c8ef4bb156646c80

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:19ac70883c37971e039c47a70e4ace3e6abb0c695c176c288a4388d2511b7040

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:fe57fe37023cda2dca00c91ef7d4bb1f8e2ec5641e3409110bff25b9d6cd249b

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:b19dc7cb8f284c73a664ed636fc8f223213f1023889d9f364083c44afae9270f

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:7c08e4863a50b80f8e0e7a7216205d23866b73b6dfd2069fff5a94224aa9dda8

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:a54b59db032eb9d847cb63419ce4c0659bb2f50f2dbac6f3fb735074ee883151

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:63fce7fbc2d276255869a90bbc4d3e6b14c7b1e712823b318339d427406d8306

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:626341a0c4495af6734867da92ec2c516168d54032739ec1a8fa281693976f15

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:f4cf5ceb0c53c74f21fdbfc0d1a38b00b33b151719239b190ee1e67a805a06a7

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:88eecfcd5c717e14cf0419e2dce37fd4f9ffcf27db50ccc6df04af56a192023e

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:0c816b37adf7f9902072e0031b5e051e8a70ff8e4746e88d3304f5327741c55a

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:9e53e1b63a91fab07ee21ac180ed10228f1fcf57ca17510e32dea27f37a39137

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 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T03:01:56.814056Z digest=sha256:a4014fbec44539129d13ecb77e665d0b668063f822e177efe2b26f44bf5071a0

Pith citing papers

No inbound Pith citation observations are available.