Paper Citation Record · LEDGER

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws

As of 13 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2606.09816.

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

pith.paper-citation-record.v1
2606.09816 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T16:55:46.624041Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

26 of 26 outbound references displayed

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External citation measurements

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Outbound references

Observation c0fcd6ce-9a64-4de7-afb0-dba757a37599 · outbound

This paper cites The olivetti faces dataset.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws The olivetti faces dataset

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

Source-reported events for the cited work

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Observation 21f981e7-4670-4b6d-baa2-4086a5ce4880 · outbound

This paper cites The random periodic solutions for McKean-Vlasov stochastic differential equations.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws The random periodic solutions for McKean-Vlasov stochastic differential equations

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-03T00:57:30.167846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e504e2ee-e270-4a55-90c8-dd0b7ce976b9 · outbound

This paper cites Random periodic solutions for stochastic differential equations with non-uniform dissipativity.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Random periodic solutions for stochastic differential equations with non-uniform dissipativity

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-03T00:57:30.164974Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6e6ba3d6-60fd-4347-a94d-b3a727076b40 · outbound

This paper cites Laplacian eigenmaps for dimensionality reduction and data representation.Neural Computation, 15(6):1373–1396, 2003.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Laplacian eigenmaps for dimensionality reduction and data representation.Neural Computation, 15(6):1373–1396, 2003

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 2e52ae17-e02e-4b4b-9503-96de21c0e93b · outbound

This paper cites Representation learn- ing: A review and new perspectives.IEEE Transactions on Pattern Anal- ysis and Machine Intelligence, 35(8):1798–1828, 2013.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Representation learn- ing: A review and new perspectives.IEEE Transactions on Pattern Anal- ysis and Machine Intelligence, 35(8):1798–1828, 2013

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 19b6004e-258b-4c0a-9f22-c81f7cb0772c · outbound

This paper cites Riemannian score-based generative modelling.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Riemannian score-based generative modelling

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 38f14a5b-7f11-4875-a997-eccd1a9ce30e · outbound

This paper cites Coifman and St´ ephane Lafon.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Coifman and St´ ephane Lafon

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 19893b8c-c5ae-4c66-8a06-c571047d6992 · outbound

This paper cites Diffusion models beat gans on image synthesis.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Diffusion models beat gans on image synthesis

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 4cef9f1b-2c59-4e18-b29a-da9ff63dad68 · outbound

This paper cites Numerical approximation of random periodic solutions of stochastic differential equations.Zeitschrift f¨ ur angewandte Mathematik und Physik, 68(5):119, 2017.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Numerical approximation of random periodic solutions of stochastic differential equations.Zeitschrift f¨ ur angewandte Mathematik und Physik, 68(5):119, 2017

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

Source-reported events for the cited work

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Observation 0a78a1e1-dd5a-4d71-ac96-8bde09da2bf3 · outbound

This paper cites Anticipating random pe- riodic solutions—i.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Anticipating random pe- riodic solutions—i

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Unavailable: canonical work link unavailable.

Observation 8bc58670-8742-4f68-956e-ceded724d7ad · outbound

This paper cites Random periodic solutions of spdes via integral equations and wiener–sobolev compact embedding.Journal of Functional Analysis, 262(10):4377–4422, 2012.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Random periodic solutions of spdes via integral equations and wiener–sobolev compact embedding.Journal of Functional Analysis, 262(10):4377–4422, 2012

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 1d96d073-9fa1-447d-bdd1-38de9e6a6c18 · outbound

This paper cites Random periodic processes, periodic measures and ergodicity.Journal of Differential Equations, 269(9):7382– 7428, 2020.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Random periodic processes, periodic measures and ergodicity.Journal of Differential Equations, 269(9):7382– 7428, 2020

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b49fc6e-f39e-4b19-a10d-0f24027d4a38 · outbound

This paper cites Pathwise random peri- odic solutions of stochastic differential equations.Journal of Differential Equations, 251(1):119–149, 2011.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Pathwise random peri- odic solutions of stochastic differential equations.Journal of Differential Equations, 251(1):119–149, 2011

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7629f00e-91ed-4fef-b7bf-360f9e0e06e1 · outbound

This paper cites Order-one convergence of the back- ward euler method for random periodic solutions of semilinear sdes.Dis- crete and Continuous Dynamical Systems - Series B, 30:3222–3242, 2025.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Order-one convergence of the back- ward euler method for random periodic solutions of semilinear sdes.Dis- crete and Continuous Dynamical Systems - Series B, 30:3222–3242, 2025

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation bbe66922-610a-4a68-aece-3be8b9f63c52 · outbound

This paper cites Denoising diffusion proba- bilistic models.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Denoising diffusion proba- bilistic models

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 36f970b2-0dc6-4f4b-8109-78c50de7a1ac · outbound

This paper cites Classifier-Free Diffusion Guidance.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Classifier-Free Diffusion Guidance

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-07-03T00:57:30.170560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 7e7fe92a-b38a-4deb-a5eb-935b808cd674 · outbound

This paper cites Riemannian diffusion models, 2022.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Riemannian diffusion models, 2022

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation f5859db3-d814-4568-b000-5de195366373 · outbound

This paper cites Riemannian continuous normalizing flows.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Riemannian continuous normalizing flows

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 93a39f86-26d4-498a-8cb0-2c3c197a59fa · outbound

This paper cites Sample complexity of testing the manifold hypothesis.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Sample complexity of testing the manifold hypothesis

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation ca0e96fd-d837-44f8-a32e-2188a46d3456 · outbound

This paper cites Roweis and Lawrence K.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Roweis and Lawrence K

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

Source-reported events for the cited work

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Observation 867fa332-a2df-4aaa-aa94-c201df1eff0b · outbound

This paper cites Deep unsupervised learning using nonequilibrium thermodynamics.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Deep unsupervised learning using nonequilibrium thermodynamics

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 62c59601-16a1-4dca-9121-4e90bd53aeb9 · outbound

This paper cites Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Kingma, Abhishek Kumar, Stefano Ermon, and Ben Poole

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 88427dc8-097b-4ebf-a13a-fe2b1483271d · outbound

This paper cites Tenenbaum, Vin de Silva, and John C.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Tenenbaum, Vin de Silva, and John C

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

Source-reported events for the cited work

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Observation 880698da-2c9c-46d2-bd6f-45cba438d7d9 · outbound

This paper cites Eigenfaces for recognition.Journal of Cognitive Neuroscience, 3(1):71–86, 01 1991.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Eigenfaces for recognition.Journal of Cognitive Neuroscience, 3(1):71–86, 01 1991

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Observation 56f9ed2c-8756-4d46-9fbf-9cb1df847a06 · outbound

This paper cites an unresolved cited work.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Unavailable: canonical work link unavailable.

Observation 2ed613e8-603a-48cc-ab69-e25602a20064 · outbound

This paper cites The galerkin analysis for the random periodic solution of semilinear stochastic evolution equations.Journal of Theoretical Probability, 37(1):133–159, 2024.

PTL-Diffusion: Manifold-Aware Diffusion with Periodic Terminal Laws The galerkin analysis for the random periodic solution of semilinear stochastic evolution equations.Journal of Theoretical Probability, 37(1):133–159, 2024

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T16:55:46.624041Z

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Pith citing papers

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