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Paper Citation Record · LEDGER

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions

As of 10 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2508.16306.

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

pith.paper-citation-record.v1
2508.16306 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T17:45:11.438908Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-22T07:38:10.286293Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T07:41:14.840521Z

Reference resolution

32 of 32 outbound references displayed

  • verified exact4
  • verified fuzzy13
  • unresolved15
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d007fa6e-0d83-4e34-8da0-3cc69b2dea2f · outbound

This paper cites Nearly $d$-Linear Convergence Bounds for Diffusion Models via Stochastic Localization.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Nearly $d$-Linear Convergence Bounds for Diffusion Models via Stochastic Localization

Reference 1

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source=pdf_text observed=2026-08-05T17:45:08.560164Z digest=sha256:92b7f6b91ec7d47b78b9ea33c48c514799d3bf26b6da9181facbeaa61dee536f

Observation 600577aa-db4e-4a29-87bc-bc822e57db2a · outbound

This paper cites Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Improved analysis of score-based generative modeling: User-friendly bounds under minimal smoothness assumptions

Reference 2

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raw_fallback, observed 2026-08-05T17:45:14.579392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:08.616793Z digest=sha256:7136f20bedbfcabb7854b46ec2027648f2b03a940461c92cfb309557298bebe4

Observation 652614e0-6786-49b3-b613-3e7fb6ca48c8 · outbound

This paper cites The probability flow ode is provably fast.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions The probability flow ode is provably fast

Reference 3

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:08.727096Z digest=sha256:5a1b38b847afaae3739a8a92e43ece12696b43d99d3ef4a0a8a7c9945559d6d1

Observation 283d8c1a-75c8-4be6-9c86-90a0e59d2909 · outbound

This paper cites Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Sampling is as easy as learning the score: theory for diffusion models with minimal data assumptions

Reference 4

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-05T17:45:08.776628Z digest=sha256:9b7ca408c3b38d77de1acf4a23427baa055e205c2a5ef42fdf816cf6e15fa75a

Observation 32b69758-b5ed-4694-af8f-ec8cf61018c3 · outbound

This paper cites Control-a-video: Controllable text-to-video generation with diffusion models.arXiv e-prints, pages arXiv–2305, 2023.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Control-a-video: Controllable text-to-video generation with diffusion models.arXiv e-prints, pages arXiv–2305, 2023

Reference 5

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source=pdf_text observed=2026-08-05T17:45:08.879916Z digest=sha256:601612b0a6c6cedeb578e1a9d46bd341d9b478350561078fb1ad82d126f257c9

Observation a2821694-84c2-4076-ba72-9435db470cad · outbound

This paper cites Improved analysis for a proximal algorithm for sampling.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Improved analysis for a proximal algorithm for sampling

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:08.958308Z digest=sha256:e0b587bf46c6549ac9bb9e7dc79cfc48a563ce787279035fe7362cb8f46829c8

Observation 84a71bb0-53cb-4fb8-b5d9-627168b62484 · outbound

This paper cites Diffusion models in vision: A survey.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Diffusion models in vision: A survey

Reference 7

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:09.032685Z digest=sha256:574f1aac4453c712a6a94c8495a8dd7c908173c9d779a8cfcc61a23223870b9e

Observation 5f7be551-aabe-4153-b6d7-f5e6db392849 · outbound

This paper cites Diffusion self-guidance for controllable image generation.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Diffusion self-guidance for controllable image generation

Reference 8

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source=pdf_text observed=2026-08-05T17:45:09.120293Z digest=sha256:99c2b1c941fd287cfa81d42e225a0c66d3ab907054ebfa6c05c076f11d03d214

Observation 1365b339-23d5-4d14-b05e-016b4edc391c · outbound

This paper cites Convergence Analysis for General Probability Flow ODEs of Diffusion Models in Wasserstein Distances.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Convergence Analysis for General Probability Flow ODEs of Diffusion Models in Wasserstein Distances

Reference 9

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:45:09.200294Z digest=sha256:8827be607d42487b6fb8986456e31f83c672bdb31254465aaaa38f28093870bf

Observation 5beb3526-f378-423c-83cb-a15728e20c22 · outbound

This paper cites Protein design with guided discrete diffusion.Advances in neural information processing systems , 36:12489–12517, 2023.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Protein design with guided discrete diffusion.Advances in neural information processing systems , 36:12489–12517, 2023

Reference 10

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:09.335349Z digest=sha256:77599b4e88d59524b0fa2b2dd5169d30a23a942a38d18bc3f353243e4986343b

Observation b9d8f585-956a-42e3-82b1-e35d5f2ab965 · outbound

This paper cites Diffusion models in bioinformatics and computational biology.Nature reviews bioengineering, 2(2):136–154, 2024.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Diffusion models in bioinformatics and computational biology.Nature reviews bioengineering, 2(2):136–154, 2024

Reference 11

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:09.451572Z digest=sha256:74cb885d1ca82e1499963a917c5c11ecc4701abe242ba16d7a6d4f5c5c911b65

Observation b241343b-3b60-427b-84c4-856de7443b98 · outbound

This paper cites Denoising diffusion probabilistic models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Denoising diffusion probabilistic models

Reference 12

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:45:09.512396Z digest=sha256:ba96ddf4f3cb9fe747b7c09aa9ecfa01af917c91476b2ebc4de5369022e9d53c

Observation f93c66d3-6e3c-4c2e-93dd-0d32dac42a02 · outbound

This paper cites Convergence Rates for Non-Log-Concave Sampling and Log-Partition Estimation.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Convergence Rates for Non-Log-Concave Sampling and Log-Partition Estimation

Reference 13

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local_arxiv, observed 2026-08-05T17:45:12.201920Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:09.560629Z digest=sha256:392cb020f39439285e4eaba1277772affe544067766d1795858dfa316ab23575

Observation 63029cf9-d82c-4786-8659-bbe2ee6cdb54 · outbound

This paper cites Convergence analysis of probability flow ode for score-based generative models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Convergence analysis of probability flow ode for score-based generative models

Reference 14

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:09.640343Z digest=sha256:8111ff34805df54918688982f398843ea3530d7a40711f34ceeb34a7576ba7dd

Observation 1bba731d-76eb-4121-af4e-83de0ed3d327 · outbound

This paper cites Multi-Step Consistency Models: Fast Generation with Theoretical Guarantees.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Multi-Step Consistency Models: Fast Generation with Theoretical Guarantees

Reference 15

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local_arxiv, observed 2026-08-05T17:45:12.024797Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:09.778005Z digest=sha256:182b67e6fa7a675518156e9f5f2c0fc74d810d2265d52269514a8113db28ebd2

Observation 5e590118-3cba-4916-b5ab-7442f5035c1f · outbound

This paper cites Convergence for score-based generative modeling with polynomial complexity.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Convergence for score-based generative modeling with polynomial complexity

Reference 16

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source=pdf_text observed=2026-08-05T17:45:09.856607Z digest=sha256:93b142602b315cd1554ca427b47c61ec54b9013aa940f1ba63666eef9912ebad

Observation 9e070b31-4840-4a8d-9a83-16d64cce3a00 · outbound

This paper cites Towards a mathematical theory for consistency training in diffusion models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Towards a mathematical theory for consistency training in diffusion models

Reference 17

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local_arxiv, observed 2026-08-05T17:45:11.858485Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:10.006064Z digest=sha256:c7f4564c89e55af933e877b6fb9754f243d61e33c578b173c0fd8ba4f118f025

Observation 1f8d670b-7905-4c71-b9ad-b7558034a85b · outbound

This paper cites Towards non-asymptotic convergence for diffusion-based generative models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Towards non-asymptotic convergence for diffusion-based generative models

Reference 18

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:10.090694Z digest=sha256:1a329d672424827397337d60896051f0101e352494ab3a545e61b09566444922

Observation ba489d91-cd0a-4f5f-8241-195ee3149676 · outbound

This paper cites A Sharp Convergence Theory for The Probability Flow ODEs of Diffusion Models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions A Sharp Convergence Theory for The Probability Flow ODEs of Diffusion Models

Reference 19

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source=pdf_text observed=2026-08-05T17:45:10.176341Z digest=sha256:2c9ed040392bd6a752e2bdb2f71a82f6d7792a9a4da11a060b5e607912a5a01a

Observation 214a7e96-996b-4144-8ea4-1ddfd2f8af45 · outbound

This paper cites O(d/T) Convergence Theory for Diffusion Probabilistic Models under Minimal Assumptions.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions O(d/T) Convergence Theory for Diffusion Probabilistic Models under Minimal Assumptions

Reference 20

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source=pdf_text observed=2026-08-05T17:45:10.282133Z digest=sha256:e1bb74c3b9dc61237b88edac0f9983493ff7345bf6776ad2d65b2ca8c71b70fb

Observation b91af8dd-dae8-4db9-9c20-a855a05f3199 · outbound

This paper cites Unified Convergence Analysis for Score-Based Diffusion Models with Deterministic Samplers.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Unified Convergence Analysis for Score-Based Diffusion Models with Deterministic Samplers

Reference 21

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local_arxiv, observed 2026-08-05T17:45:11.674672Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:10.428279Z digest=sha256:1a5b510f2b89639dc688a11ea74028fd4d173f6e94ef730357d366aeb83a575a

Observation 2c13ce50-2bf6-4b04-b0de-6320c1807ec6 · outbound

This paper cites Diffusion-lm improves controllable text generation.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Diffusion-lm improves controllable text generation

Reference 22

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raw_fallback, observed 2026-08-05T17:45:12.960408Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:10.535698Z digest=sha256:9b955997af2651733234e74ba0678476144c5121f8ea1432cac65865b9c67358

Observation b40285ca-fcc7-4c76-86fb-d4cc7f16590e · outbound

This paper cites AudioLDM: Text-to-Audio Generation with Latent Diffusion Models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions AudioLDM: Text-to-Audio Generation with Latent Diffusion Models

Reference 23

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source=pdf_text observed=2026-08-05T17:45:10.648281Z digest=sha256:43801ede7a0b742bf82f1ce21381ca33106d19181118148b77bd8f4055eb6cc2

Observation 11e33dd2-38fd-470c-b3c6-e8d348b032aa · outbound

This paper cites Repaint: Inpainting using denoising diffusion probabilistic models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Repaint: Inpainting using denoising diffusion probabilistic models

Reference 24

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source=pdf_text observed=2026-08-05T17:45:10.752127Z digest=sha256:37ebb239faa38f4dfba0b5872f31f58a9989a765bb51983910d032dd4560ea94

Observation 83958483-7ea8-4f54-b111-1571f5f06473 · outbound

This paper cites GLIDE: Towards Photorealistic Image Generation and Editing with Text-Guided Diffusion Models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions GLIDE: Towards Photorealistic Image Generation and Editing with Text-Guided Diffusion Models

Reference 25

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source=pdf_text observed=2026-08-05T17:45:10.860668Z digest=sha256:08ccc3742edf070007b8950d6fbcf1f898bf829f5117a48af2b2bdf87b1f4b7b

Observation a0abaab1-d48d-43c9-b595-98b1e59de7cf · outbound

This paper cites Denoising Diffusion Implicit Models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Denoising Diffusion Implicit Models

Reference 26

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:45:10.937012Z digest=sha256:c5f254d322bc4140ef217dcb08b40eb848b4b8e8a080d508b5411fab6ab8b332

Observation eeadd303-5ddf-4385-97b1-e640ab5e7472 · outbound

This paper cites Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusion.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Consistency Trajectory Models: Learning Probability Flow ODE Trajectory of Diffusion

Reference 27

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source=pdf_text observed=2026-08-05T17:45:11.045526Z digest=sha256:f013c3fb767b81573cccd041e4ce9dfc5eded494ba5a2d26c1679aecdae1f50e

Observation b4c7c1b2-2198-4ca0-a1b9-621da5fa63e8 · outbound

This paper cites Maximum likelihood training of score-based diffusion models.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Maximum likelihood training of score-based diffusion models

Reference 28

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raw_fallback, observed 2026-08-05T17:45:12.774904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:11.150962Z digest=sha256:56e48cfc743993cf5b0113a01086e351c53c9d3706025e0cc2c95428b893c8af

Observation 1860bd56-0507-4ec6-9618-353e1dd96c56 · outbound

This paper cites Generative modeling by estimating gradients of the data distribution.Advances in neural information processing systems , 32, 2019.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Generative modeling by estimating gradients of the data distribution.Advances in neural information processing systems , 32, 2019

Reference 29

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raw_fallback, observed 2026-08-05T17:45:12.542046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:11.213190Z digest=sha256:eaf6a46bb4d3a67b94356ede17c874bb164339934e5ae5f241b528cb84e9dad9

Observation 81d3339e-b7f2-40bc-83ba-cdb91a91d70d · outbound

This paper cites Score- based generative modeling through stochastic differential equations.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Score- based generative modeling through stochastic differential equations

Reference 30

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T17:45:11.298664Z digest=sha256:2baa7643cac295c60b90bbfbadf12aafc73761d16baee05cf07a1fd184758086

Observation c52f238b-3b27-4152-8ffb-41cf092bb995 · outbound

This paper cites Provably Robust Score-Based Diffusion Posterior Sampling for Plug-and-Play Image Reconstruction.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Provably Robust Score-Based Diffusion Posterior Sampling for Plug-and-Play Image Reconstruction

Reference 31

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source=pdf_text observed=2026-08-05T17:45:11.354908Z digest=sha256:90d77e96b23418d12797078d0fef0bc8fe0594cb0104a785010f740f0a93521e

Observation a0addf13-82ac-4fd1-a584-93de64d04d38 · outbound

This paper cites Z tk−2 tk dt Z t tk e2us′ r(u, z(u))du 2 2 # ≤ E.

A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions Z tk−2 tk dt Z t tk e2us′ r(u, z(u))du 2 2 # ≤ E

Reference 32

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-05T17:45:11.438908Z digest=sha256:bceb6664fd990780a1034c09176da1fef294a317fdef23738c2d06c0fa90e8ba

Pith citing papers

Observation dea97e5b-b1f0-437f-8c94-8934344ae1e5 · inbound

The Value of Covariance Matching in Gaussian DDPMs and the Lanczos Sampler cites this paper.

The Value of Covariance Matching in Gaussian DDPMs and the Lanczos Sampler A Sharp KL-Convergence Analysis for Diffusion Models under Minimal Assumptions

Reference 4

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arxiv_id, observed 2026-05-22T07:41:14.843836Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-22T07:38:10.286293Z digest=sha256:5e2efda3d2bb2918b2b190fa5b87541f75263842c204ab0f07b1442f6a18fb78