Paper Citation Record · LEDGER

Mimicking diffusion processes with differential equations

As of 10 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2607.25685.

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

pith.paper-citation-record.v1
2607.25685 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T04:02:43.709283Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T10:38:19.744744Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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unresolved37
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 88dba526-97ca-47b5-bafc-bd8a65020fcc · outbound

This paper cites Ambrosio , Transport equation and Cauchy problem for BV vector fields , Inventiones Mathematicae, 158 (2004), pp.

Mimicking diffusion processes with differential equations Ambrosio , Transport equation and Cauchy problem for BV vector fields , Inventiones Mathematicae, 158 (2004), pp

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.570991Z

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Observation 71475d7d-f2c7-42df-8b92-55883b6ca5de · outbound

This paper cites Ambrosio , Transport equation and cauchy problem for non-smooth vector fields , in Calculus of Variations and Non-Linear Partial Differential Equations, vol.

Mimicking diffusion processes with differential equations Ambrosio , Transport equation and cauchy problem for non-smooth vector fields , in Calculus of Variations and Non-Linear Partial Differential Equations, vol

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.575994Z

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Observation a830de3e-f8ae-4e83-9384-6c4d3433cecd · outbound

This paper cites Ambrosio, N.

Mimicking diffusion processes with differential equations Ambrosio, N

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.580175Z

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Observation 3b7a58ae-5c98-42a4-8d65-bdf596b28262 · outbound

This paper cites Ambrosio and D.

Mimicking diffusion processes with differential equations Ambrosio and D

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.584211Z

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Observation 6460701d-165d-4d85-89a7-66637c19b1e4 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.588521Z

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Observation d536697e-d29e-4bbb-80fa-d877182c74e8 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.592523Z

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Observation 2b8c551b-8d74-4199-a466-5bb3afcefc01 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.596948Z

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Observation 1f3b60d1-4809-4b24-b28e-36de3d7b7e43 · outbound

This paper cites Brigati and M.

Mimicking diffusion processes with differential equations Brigati and M

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.600755Z

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Observation d98299ad-974e-4b94-8e3c-404302078cbb · outbound

This paper cites Lipschitz-Guided Design of Interpolation Schedules in Generative Models.

Mimicking diffusion processes with differential equations Lipschitz-Guided Design of Interpolation Schedules in Generative Models

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.604591Z

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Observation 886154a1-1213-4be4-b5ea-b65f35d4c0c6 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.608591Z

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Observation c02bae0a-227e-4ceb-be2d-09de3259b3b5 · outbound

This paper cites Crippa and C.

Mimicking diffusion processes with differential equations Crippa and C

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.612241Z

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Observation 3fd4b300-cce6-494f-838e-73bfc41214d2 · outbound

This paper cites De Lellis , ODEs with Sobolev coeﬀicients: the Eulerian and the Lagrangian approach , Discrete Contin.

Mimicking diffusion processes with differential equations De Lellis , ODEs with Sobolev coeﬀicients: the Eulerian and the Lagrangian approach , Discrete Contin

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.615988Z

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Observation 706a89d5-17bc-4b20-a289-32497be86877 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.619859Z

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Observation e2dd6ec0-4232-4c2a-b086-fa358a956980 · outbound

This paper cites Figalli , Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coeﬀicients, Journal of Functional Analysis, 254 (2008), pp.

Mimicking diffusion processes with differential equations Figalli , Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coeﬀicients, Journal of Functional Analysis, 254 (2008), pp

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.623557Z

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Observation c1850437-6fde-4484-9ad1-1466a64c1263 · outbound

This paper cites Flandoli, M.

Mimicking diffusion processes with differential equations Flandoli, M

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.626987Z

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Observation 0bd2ad84-40be-4f29-b9de-00f5b3ca5848 · outbound

This paper cites Gyöngy , Mimicking the one-dimensional marginal distributions of processes having an Itô differential , Probability theory and related fields, 71 (1986), pp.

Mimicking diffusion processes with differential equations Gyöngy , Mimicking the one-dimensional marginal distributions of processes having an Itô differential , Probability theory and related fields, 71 (1986), pp

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.630491Z

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Observation fa25ea74-ea86-4d23-961d-46726a316928 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.634133Z

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Observation 9e57b439-6ac7-45ad-90ba-e1fb929300be · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.637730Z

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Observation 5d8b9bf0-2af6-4cb3-baa5-81328944a1f4 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.641241Z

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Observation 335030e4-fd9a-496b-a9a2-f2a0dadc70e3 · outbound

This paper cites Expressivity of Bi-Lipschitz Normalizing Flows: A Score-Based Diffusion Perspective.

Mimicking diffusion processes with differential equations Expressivity of Bi-Lipschitz Normalizing Flows: A Score-Based Diffusion Perspective

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.644693Z

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Observation ff6f9c6f-e38a-48bc-97cd-81a99b2d6de1 · outbound

This paper cites Kim, C.-H.

Mimicking diffusion processes with differential equations Kim, C.-H

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.648831Z

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Observation 4209f0c5-1602-4b77-b8c6-f30f6ae3b2f8 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.652611Z

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Observation b3a33438-5b86-4dfe-abc4-567146eeb47f · outbound

This paper cites Le Bris and P.-L.

Mimicking diffusion processes with differential equations Le Bris and P.-L

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.656566Z

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Observation 1572ed4a-a427-4d81-bbeb-b3a5f901748e · outbound

This paper cites Le Bris and P.-L.

Mimicking diffusion processes with differential equations Le Bris and P.-L

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.660285Z

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Observation 31ca1414-379e-4f74-aa3c-085dbbe03b2b · outbound

This paper cites Lipman, R.

Mimicking diffusion processes with differential equations Lipman, R

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.663999Z

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Observation 5141563c-0adf-4fa9-a2f2-159feaaac916 · outbound

This paper cites Mooney, Z.

Mimicking diffusion processes with differential equations Mooney, Z

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.667737Z

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Observation 8a7be7c9-106f-48d1-9348-a522f65df863 · outbound

This paper cites Peyré , Optimal and diffusion transports in machine learning , in Proceedings of the International Congress of Mathematicians 2026, vol.

Mimicking diffusion processes with differential equations Peyré , Optimal and diffusion transports in machine learning , in Proceedings of the International Congress of Mathematicians 2026, vol

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.671231Z

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Observation 3a20d4df-f075-4bde-a900-1461377c3f66 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.674868Z

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Observation 8aea995f-e226-4b4f-823d-9e0dc7ca8121 · outbound

This paper cites Sohl-Dickstein, E.

Mimicking diffusion processes with differential equations Sohl-Dickstein, E

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.678991Z

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Observation a4fd2bd7-1f72-4dec-ba6b-329ac3dc0413 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.682590Z

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Observation a86c86cf-c52d-4cb8-8fa5-5fa4035947a2 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.686171Z

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Observation 304a4b05-72d0-4c66-851f-46caf6aa0909 · outbound

This paper cites Regularity of the score function in generative models.

Mimicking diffusion processes with differential equations Regularity of the score function in generative models

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.689752Z

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Observation b9bf4721-6bf5-469c-8de6-aad4d153245e · outbound

This paper cites Lipschitz regularity in Flow Matching and Diffusion Models: sharp sampling rates and functional inequalities.

Mimicking diffusion processes with differential equations Lipschitz regularity in Flow Matching and Diffusion Models: sharp sampling rates and functional inequalities

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.693500Z

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Observation 746b6e94-09d8-4cf5-af01-8a6ba04e2093 · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.697494Z

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Observation 90c2cadf-3b91-4186-88d6-5bb7639859ef · outbound

This paper cites an unresolved cited work.

Mimicking diffusion processes with differential equations Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.701105Z

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Observation 85d78d38-361e-4508-98da-b4bda23d2287 · outbound

This paper cites By the upper bound in ( 50), mass conservation, and kpε 0kL∞ kp0kL∞, we have Entη(pε.

Mimicking diffusion processes with differential equations By the upper bound in ( 50), mass conservation, and kpε 0kL∞ kp0kL∞, we have Entη(pε

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.704984Z

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Observation e18502a3-c848-4bcc-b7f3-4b7acd0db610 · outbound

This paper cites 1 r as η # 0 for every r> 0, and pε s> 0 for s> 0, monotone convergence gives Z Rd β′′ η (pε s)jrpε sj2dx.

Mimicking diffusion processes with differential equations 1 r as η # 0 for every r> 0, and pε s> 0 for s> 0, monotone convergence gives Z Rd β′′ η (pε s)jrpε sj2dx

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T04:02:43.709283Z

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Pith citing papers

Observation e1b7617d-85a9-4545-93ca-85b57d7f929f · inbound

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains cites this paper.

Reflected diffusion, no-flux continuity equations and confined Lagrangian flows in bounded domains Mimicking diffusion processes with differential equations

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T10:38:19.744744Z

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Unavailable: canonical work link unavailable.