Paper Citation Record · LEDGER

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes

As of 22 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 3 inbound Pith citation observations for arXiv:2412.04140.

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

pith.paper-citation-record.v1
2412.04140 v5

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:50:10.866752Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T20:15:44.030714Z

measured 1 of 1 external citation measurements

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

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

Reference resolution

19 of 19 outbound references displayed

verified exact0
verified fuzzy9
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

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

Outbound references

Observation d4c82b89-6e6f-488d-804f-dd79a18db83c · outbound

This paper cites trigger tokens.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes trigger tokens

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:50:11.107775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 95fe54b9-fdb4-4d70-b9cd-6f03a1395f3f · outbound

This paper cites The categorization of MV , TV , and RV considers both the memorized portions of generated images and their associations with specific prompt-image pairs.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes The categorization of MV , TV , and RV considers both the memorized portions of generated images and their associations with specific prompt-image pairs

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:50:11.154953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8ed02f19-e43a-42c8-923b-0700be6c7d2a · outbound

This paper cites an unresolved cited work.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:50:11.272193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ca9429ca-b23b-41ac-bb74-d2d8f7f152ec · outbound

This paper cites LLaMA: Open and Efficient Foundation Language Models.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes LLaMA: Open and Efficient Foundation Language Models

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T21:50:10.806269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c1f5cad-ac9b-4765-9d51-a2e7c1dd45f7 · outbound

This paper cites Manifolds, Random Matrices and Spectral Gaps: The geometric phases of generative diffusion.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes Manifolds, Random Matrices and Spectral Gaps: The geometric phases of generative diffusion

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T21:50:10.812207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c6b44d39-3311-4da1-a376-52ea172d0564 · outbound

This paper cites A Reproducible Extraction of Training Images from Diffusion Models.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes A Reproducible Extraction of Training Images from Diffusion Models

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T21:50:10.817135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0010623b-7bd4-4d68-bd73-641d08a5b47c · outbound

This paper cites Y ., Kwon, S., and Ryu, E.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes Y ., Kwon, S., and Ryu, E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:50:11.252194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 625decc9-6da5-4923-a675-bda3d36f55c9 · outbound

This paper cites Additional Mathematical Details A.1.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes Additional Mathematical Details A.1

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:50:11.235211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 82d16b5f-0fb1-421b-9464-e87aeac17153 · outbound

This paper cites In particular, we show that for small perturbations in Σt, the expected norm of the score difference coincides with this squared Fisher-Rao distance up to second order.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes In particular, we show that for small perturbations in Σt, the expected norm of the score difference coincides with this squared Fisher-Rao distance up to second order

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:50:11.214925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 076205ad-a59a-4ad3-8f25-f3f61dd9e3b4 · outbound

This paper cites 17 Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes Models.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes 17 Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes Models

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:50:11.176224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3ff6018a-bf5e-4618-9be4-bb05dfdf8d4e · outbound

This paper cites Consequently, prompts without accessible training images are excluded, resulting in 454 prompts for v1.4 and 202 prompts for v2.0.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes Consequently, prompts without accessible training images are excluded, resulting in 454 prompts for v1.4 and 202 prompts for v2.0

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:50:11.125777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 51ddd01e-0816-4894-b9f8-e36aa5d503d9 · outbound

This paper cites (2024) leverage this attention score as a mask to amplify the detection of the Partial Memorization (PM) cases.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes (2024) leverage this attention score as a mask to amplify the detection of the Partial Memorization (PM) cases

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:50:11.082814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation cd87fce5-6045-491d-a763-bc089a657a5d · outbound

This paper cites GPT-4 Technical Report.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes GPT-4 Technical Report

Reference 2005

Resolution: unresolved; no resolver link, observed 2026-08-11T21:50:10.763194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b00794d-bac3-4247-aa8c-f376c1bbae3a · outbound

This paper cites On Memorization in Diffusion Models.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes On Memorization in Diffusion Models

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-11T21:50:10.775245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f988bd2-dcd1-4fd7-b6ed-7d8b09fef641 · outbound

This paper cites 3” for the generalized case and “9.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes 3” for the generalized case and “9

Reference 2020

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:50:11.195806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1ea3ba45-e41f-4dbe-a7d3-4b3997bec6da · outbound

This paper cites Exploring Local Memorization in Diffusion Models via Bright Ending Attention.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes Exploring Local Memorization in Diffusion Models via Bright Ending Attention

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-11T21:50:10.769470Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 95fe8285-50c4-4c78-979a-7779178625e5 · outbound

This paper cites A Geometric Framework for Understanding Memorization in Generative Models.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes A Geometric Framework for Understanding Memorization in Generative Models

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-11T21:50:10.800350Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a927cd5-476f-4943-ab7c-fef13bc092da · outbound

This paper cites and Salimans, T.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes and Salimans, T

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-11T21:50:10.783799Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d0ef98f-a5a2-4d08-8f28-d08cd371866d · outbound

This paper cites Auto-Encoding Variational Bayes.

Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes Auto-Encoding Variational Bayes

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-11T21:50:10.794588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 4fd2534f-7ff0-4a98-ad1a-5f21912f34c2 · inbound

On the Memorization of Consistency Distillation for Diffusion Models cites this paper.

On the Memorization of Consistency Distillation for Diffusion Models Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes

Reference 1

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T21:11:10.972190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ce63a698-82e3-47db-a678-d909c6a85983 · inbound

Language Diffusion Models are Associative Memories Capable of Retrieving Unseen Data cites this paper.

Language Diffusion Models are Associative Memories Capable of Retrieving Unseen Data Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes

Reference 16

Resolution: metadata mismatch; arxiv_id, observed 2026-05-12T09:11:27.336953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 50523a6e-3f98-456f-8c58-1f236745d485 · inbound

Global Convergence of Sampling-Based Nonconvex Optimization through Diffusion-Style Smoothing cites this paper.

Global Convergence of Sampling-Based Nonconvex Optimization through Diffusion-Style Smoothing Understanding and Mitigating Memorization in Generative Models via Sharpness of Probability Landscapes

Reference 113

Resolution: verified exact; arxiv_id, observed 2026-05-20T20:18:59.512722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.