Paper Citation Record · LEDGER

A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2402.16991.

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

pith.paper-citation-record.v1
2402.16991 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:34:11.787257Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T05:39:40.901252Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation fb82fce4-9f61-41cf-956f-9fa68332bde5 · inbound

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

An analytic theory of creativity in convolutional diffusion models A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T23:32:26.769232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf8fd088-9dfa-462f-a9a9-f2f4e0e2e897 · inbound

Classifier-Free Guidance: From High-Dimensional Analysis to Generalized Guidance Forms cites this paper.

Classifier-Free Guidance: From High-Dimensional Analysis to Generalized Guidance Forms A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-08T12:53:00.345399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 326e28f5-b2ea-45b0-b033-fd94bb7490ac · inbound

Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Models cites this paper.

Bigger Isn't Always Memorizing: Early Stopping Overparameterized Diffusion Models A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T14:57:49.558865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 313eb60f-c70a-4a58-bcee-97b520ee1469 · inbound

BlueGlass: A Framework for Composite AI Safety cites this paper.

BlueGlass: A Framework for Composite AI Safety A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-06T17:46:20.970397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8ad4198-3514-4df4-a0e8-b77e438d6398 · inbound

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

Local Diffusion Models and Phases of Data Distributions A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-18T23:36:54.668955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 72a8dc45-1d4f-4bf0-b378-f75b0059128b · inbound

Generative models on phase space cites this paper.

Generative models on phase space A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 66

Resolution: verified exact; arxiv_id, observed 2026-05-13T20:53:15.496837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6afddbb-2f6d-4b45-aea6-ff724575c83d · inbound

Quality-Preserving Imperceptible Adversarial Attack on Skeleton-based Human Action Recognition cites this paper.

Quality-Preserving Imperceptible Adversarial Attack on Skeleton-based Human Action Recognition A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 75

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T13:58:22.165887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eaa50906-58f0-4079-8072-7aa4c79c82cd · inbound

Statistical Properties of Training & Generalization cites this paper.

Statistical Properties of Training & Generalization A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 230

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T05:39:40.902976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dd429e10-c765-4c99-8019-aa759d3ec1c8 · inbound

Statistical Properties of Training & Generalization cites this paper.

Statistical Properties of Training & Generalization A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 230

Resolution: metadata mismatch; arxiv_id, observed 2026-07-02T21:57:25.500181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3fc55a90-1a70-426c-ac05-84f7f84e278b · inbound

Commitment Before Realization: When Classifier-Free Guidance Becomes Unnecessary in Masked Diffusion Language Models cites this paper.

Commitment Before Realization: When Classifier-Free Guidance Becomes Unnecessary in Masked Diffusion Language Models A Phase Transition in Diffusion Models Reveals the Hierarchical Nature of Data

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-12T00:34:11.787257Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.