Paper Citation Record · LEDGER

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models

As of 24 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2605.04830.

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

pith.paper-citation-record.v1
2605.04830 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T17:27:16.554144Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T07:12:21.363153Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

34 of 34 outbound references displayed

verified exact13
verified fuzzy7
unresolved1
parse uncertain0
malformed identifier1
metadata mismatch12

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation ac5a616a-3b5c-4f02-819d-5259b4bd5aaf · outbound

This paper cites How Out-of-Equilibrium Phase Transitions can Seed Pattern Formation in Trained Diffusion Models.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models How Out-of-Equilibrium Phase Transitions can Seed Pattern Formation in Trained Diffusion Models

Reference 1

Resolution: metadata mismatch; local_arxiv, observed 2026-05-11T17:36:04.524588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 348ebd48-e000-4fbf-8954-c1e259383e71 · outbound

This paper cites doi: 10.1088/1742-5468/acf8ba.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models doi: 10.1088/1742-5468/acf8ba

Reference 2

Resolution: verified exact; doi, observed 2026-05-08T17:28:41.138552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9333fb46-cdfb-47ee-ac82-a758bdfa0309 · outbound

This paper cites Nature Communications15(1) (Nov 2024).https://doi.org/10.1038/ s41467-024-54281-3,http://dx.doi.org/10.1038/s41467-024-54281-3.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Nature Communications15(1) (Nov 2024).https://doi.org/10.1038/ s41467-024-54281-3,http://dx.doi.org/10.1038/s41467-024-54281-3

Reference 3

Resolution: verified exact; doi, observed 2026-05-08T17:28:41.134919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9d32c09b-b02d-410e-bbe0-5ff71c1c2b5d · outbound

This paper cites In: CVPR.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models In: CVPR

Reference 4

Resolution: verified exact; doi, observed 2026-05-08T17:28:41.157761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f880971c-e44d-4d87-b8cd-34f88e4f9f1c · outbound

This paper cites Scaling Rectified Flow Transformers for High-Resolution Image Synthesis.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Scaling Rectified Flow Transformers for High-Resolution Image Synthesis

Reference 5

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T08:27:54.173931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dd8615f8-7379-46b2-8bfd-4a8a760f2ef1 · outbound

This paper cites Measuring Semantic Information Production in Generative Diffusion Models.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Measuring Semantic Information Production in Generative Diffusion Models

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:36:04.500981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c792298e-d8c5-4d92-97bc-526c779f7c9f · outbound

This paper cites The Entropic Signature of Class Speciation in Diffusion Models.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models The Entropic Signature of Class Speciation in Diffusion Models

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-06-02T04:04:48.990736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bdaea603-aa95-40ad-9aac-92f7de7f10ac · outbound

This paper cites Dilated Neighborhood Attention Transformer.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Dilated Neighborhood Attention Transformer

Reference 8

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T17:36:04.513599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a3807f1f-5c7c-4ca3-9998-f99191c1e7cf · outbound

This paper cites In: IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR).

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models In: IEEE/CVF Conference on Computer Vision and Pattern Recognition (CVPR)

Reference 9

Resolution: metadata mismatch; arxiv_id, observed 2026-05-08T17:28:41.154151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8a7abe28-d792-40e8-9f6a-eb380b8d130b · outbound

This paper cites Classifier-Free Diffusion Guidance.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Classifier-Free Diffusion Guidance

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-05-11T17:36:04.517525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 05e8dabd-cf88-41e1-b838-317e350dfe05 · outbound

This paper cites Local Diffusion Models and Phases of Data Distributions.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Local Diffusion Models and Phases of Data Distributions

Reference 11

Resolution: metadata mismatch; local_arxiv, observed 2026-05-11T17:36:04.425367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation b861b97c-6b79-4bfa-9b52-a676f1bd3a96 · outbound

This paper cites Learning and Generating Mixed States Prepared by Shallow Channel Circuits.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Learning and Generating Mixed States Prepared by Shallow Channel Circuits

Reference 12

Resolution: metadata mismatch; local_arxiv, observed 2026-05-11T17:36:04.477261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8a6e849d-3326-4c32-bc8d-30e8af03fad2 · outbound

This paper cites Stage-wise dynamics of classifier-free guidance in diffusion models.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Stage-wise dynamics of classifier-free guidance in diffusion models

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:36:04.446889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3b1a053e-003a-4eff-87e6-330d6b5d7320 · outbound

This paper cites An analytic theory of creativity in convolutional diffusion models.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models An analytic theory of creativity in convolutional diffusion models

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:36:04.457825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3f6a4f2e-ac0f-4437-b5ce-610f1624caad · outbound

This paper cites org/abs/2602.11262.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models org/abs/2602.11262

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:36:04.466670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6e115a03-f08c-43ea-a58e-188877c94031 · outbound

This paper cites Marvin Li and Sitan Chen.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Marvin Li and Sitan Chen

Reference 17

Resolution: verified exact; doi, observed 2026-05-08T17:28:41.142103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9be36b42-178c-4696-ac13-e81a343317cd · outbound

This paper cites Artem Lukoianov, Chenyang Yuan, Justin Solomon, and Vincent Sitzmann.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Artem Lukoianov, Chenyang Yuan, Justin Solomon, and Vincent Sitzmann

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-11T17:36:04.429710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bcaaded7-77c6-481e-9208-2f184ccc6b53 · outbound

This paper cites Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg models.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Absence of ferromagnetism or antiferromagnetism in one- or two-dimensional isotropic Heisenberg models

Reference 19

Resolution: metadata mismatch; doi, observed 2026-05-08T17:28:41.145526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9410a4e0-1bba-4233-846b-df9221011964 · outbound

This paper cites Memorization to generalization: The emergence of diffusion models from associative memory.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Memorization to generalization: The emergence of diffusion models from associative memory

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T07:41:55.145839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation e831dc00-38e0-4935-865d-79afd4f6d5b6 · outbound

This paper cites URL https://link.aps.org/doi/10.1103/PhysRevLett.134.070403.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models URL https://link.aps.org/doi/10.1103/PhysRevLett.134.070403

Reference 21

Resolution: verified exact; doi, observed 2026-05-08T17:28:41.148981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d4b9707a-aedc-437a-b4b6-788955848bd4 · outbound

This paper cites Denoising Diffusion Implicit Models.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Denoising Diffusion Implicit Models

Reference 22

Resolution: metadata mismatch; local_arxiv, observed 2026-05-11T17:36:04.433076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a8217a3d-ff84-4dca-993b-b1138a051172 · outbound

This paper cites The information dynamics of generative diffusion.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models The information dynamics of generative diffusion

Reference 23

Resolution: metadata mismatch; doi, observed 2026-05-08T17:28:41.131422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 46518d19-0832-4d4d-97c1-d8757d695626 · outbound

This paper cites Dynamical Regimes of Discrete Diffusion Models.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Dynamical Regimes of Discrete Diffusion Models

Reference 24

Resolution: metadata mismatch; local_arxiv, observed 2026-05-11T17:36:04.461936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5adaf97e-527f-4551-8083-ba9465af0bfc · outbound

This paper cites Emergence of Distortions in High-Dimensional Guided Diffusion Models.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Emergence of Distortions in High-Dimensional Guided Diffusion Models

Reference 25

Resolution: metadata mismatch; local_arxiv, observed 2026-05-11T17:36:04.470330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 8e9be2dc-4ac5-40ea-89d6-ad3c3d9a8094 · outbound

This paper cites URL https://link.aps.org/doi/ 10.1103/mqp8-y1m7.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models URL https://link.aps.org/doi/ 10.1103/mqp8-y1m7

Reference 26

Resolution: verified exact; doi, observed 2026-05-08T17:28:41.124710Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4f149afb-717b-44b5-8288-ff195815462f · outbound

This paper cites VRSBench: A Versatile Vision-Language Benchmark Dataset for Remote Sensing Image Understanding.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models VRSBench: A Versatile Vision-Language Benchmark Dataset for Remote Sensing Image Understanding

Reference 27

Resolution: malformed identifier; doi, observed 2026-05-08T17:28:41.128225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation dc655a80-2988-499d-aa0f-b84a5b703b93 · outbound

This paper cites Conditional Mutual Information and Information-Theoretic Phases of Decohered Gibbs States.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Conditional Mutual Information and Information-Theoretic Phases of Decohered Gibbs States

Reference 28

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T17:36:04.440235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 39747315-8e01-4fd1-a8b8-e4b3536f5599 · outbound

This paper cites [2021], respectively.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models [2021], respectively

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T07:41:55.138047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 1403ffdb-9899-42f1-86f7-b8e6f6b71458 · outbound

This paper cites [2022], already noted that information injection during denoising is not uniform in time, and these observations rapidly inspired a detailed study into dynamics of denoising.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models [2022], already noted that information injection during denoising is not uniform in time, and these observations rapidly inspired a detailed study into dynamics of denoising

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T07:41:55.116397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 073535b2-c7f1-4a2a-835f-d15f7347dc72 · outbound

This paper cites Existence of a phase transition in generation motivates understanding the full denoising process, which was analyzed asymptotically by Biroli et al.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Existence of a phase transition in generation motivates understanding the full denoising process, which was analyzed asymptotically by Biroli et al

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T07:41:55.111949Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5021aaa5-67ce-4ea9-8002-317e04f8733b · outbound

This paper cites an unresolved cited work.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-05-26T07:41:55.129650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bb0f3530-c8eb-4944-8753-4cbc3a563abf · outbound

This paper cites Very recent extensions study entropic signatures of class speciation Handke et al.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Very recent extensions study entropic signatures of class speciation Handke et al

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T07:41:55.133927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 52acd4ed-f43c-400f-9f0e-e970af6aa285 · outbound

This paper cites Conversely, distributions with long-ranged CMI are known to be hard to learn Kumar et al.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models Conversely, distributions with long-ranged CMI are known to be hard to learn Kumar et al

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T07:41:55.121214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f9810d33-5803-437b-bf57-1e4fe4061a26 · outbound

This paper cites a golden retriever playing in a park, high detail, soft lighting.

Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models a golden retriever playing in a park, high detail, soft lighting

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-26T07:41:55.125544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

Observation 9d112001-d631-44be-a686-75e798a25c5e · inbound

The Geometry of Phase Transitions in Generative Dynamics via Projection Caustics cites this paper.

The Geometry of Phase Transitions in Generative Dynamics via Projection Caustics Concurrence of Symmetry Breaking and Nonlocality Phase Transitions in Diffusion Models

Reference 47

Resolution: metadata mismatch; local_arxiv, observed 2026-06-27T07:30:41.530377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.