Pith. sign in

Paper Citation Record · LEDGER

Particle-Guided Diffusion Models for Partial Differential Equations

As of 9 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 2 inbound Pith citation observations for arXiv:2601.23262.

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

pith.paper-citation-record.v1
2601.23262 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T06:13:17.727600Z

measured 14 of 14 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T14:19:58.645410Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T22:23:21.473283Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 54fc263e-9dd3-432e-85ce-ca6960c134e7 · outbound

This paper cites Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems.

Particle-Guided Diffusion Models for Partial Differential Equations Deep convolutional recurrent autoencoders for learning low-dimensional feature dynamics of fluid systems

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:16.380943Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:16.380943Z digest=sha256:6e7ea04d359f73fa34018bf91d640d43eeac9f16e8b6745f474447ee256787e6

Observation 9979f988-a49b-428e-a55d-859ed1ca5bbd · outbound

This paper cites In pBS, each particle receives an incremental weight Gj−1(xj, xj−1) = ˜pθ(y|x j−1) ˜pθ(y|x j).

Particle-Guided Diffusion Models for Partial Differential Equations In pBS, each particle receives an incremental weight Gj−1(xj, xj−1) = ˜pθ(y|x j−1) ˜pθ(y|x j)

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:17.643650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:17.643650Z digest=sha256:1a202b01e4817cf4c9d672aee612c941690e6fb48295dbf7daf3668cf776a10f

Observation 1acbd8ff-b3c4-4f80-9d65-1f93dfc4ad89 · outbound

This paper cites Huang, R., Huang, J., Yang, D., Ren, Y ., Liu, L., Li, M., Ye, Z., Liu, J., Yin, X., and Zhao, Z.

Particle-Guided Diffusion Models for Partial Differential Equations Huang, R., Huang, J., Yang, D., Ren, Y ., Liu, L., Li, M., Ye, Z., Liu, J., Yin, X., and Zhao, Z

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:16.532968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:16.532968Z digest=sha256:09382c87f401ef089a080ae12a2a8d9b622981cbd9afe17f44899b06953b4bef

Observation 1d72af2e-c4ca-4e05-8d3e-8bd38a5d8368 · outbound

This paper cites Generative Latent Neural PDE Solver using Flow Matching.

Particle-Guided Diffusion Models for Partial Differential Equations Generative Latent Neural PDE Solver using Flow Matching

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:16.817315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:16.817315Z digest=sha256:b40401cc17cf2ccdf84c20c182876fe4280ca24bc7d3a7ba89dc39e25ead2548

Observation 6fb44882-b737-4273-84a0-f036b46cc3d1 · outbound

This paper cites A Denoising Diffusion Model for Fluid Field Prediction.

Particle-Guided Diffusion Models for Partial Differential Equations A Denoising Diffusion Model for Fluid Field Prediction

Reference 9

Resolution
malformed identifier
no resolver link, observed 2026-08-03T06:13:17.308364Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:17.308364Z digest=sha256:3121a9c298f856760c1d2d4eb45223dd9fe340f18e5f8e4c0f4d2c3397f36179

Observation a0cd04f9-db97-4709-9b9a-f0668401ae3f · outbound

This paper cites In pBS, each particle is propagated via the guided sampler x(i) j−1 ∼M j−1(· |xj) = ˜pθ(xj−1 |x j, y).

Particle-Guided Diffusion Models for Partial Differential Equations In pBS, each particle is propagated via the guided sampler x(i) j−1 ∼M j−1(· |xj) = ˜pθ(xj−1 |x j, y)

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:17.464538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:17.464538Z digest=sha256:f1cbce3027d5d966f913c145053be59014afdc560f6c7e4e6329055ee7269295

Observation e85d9bc6-5ae4-4dc3-bfd7-7e03c4406a0a · outbound

This paper cites In SMC, when the effective sample size drops below Neff, particles are resampled with probability proportional to their normalised weights.

Particle-Guided Diffusion Models for Partial Differential Equations In SMC, when the effective sample size drops below Neff, particles are resampled with probability proportional to their normalised weights

Reference 12

Resolution
malformed identifier
no resolver link, observed 2026-08-03T06:13:17.727600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:17.727600Z digest=sha256:ccb3c97e449e9b19fa8210170eb0ed0b67cea31c244c569eacf35eb8cabd2ecd

Observation 88a50d95-3e2e-4dfa-91ae-17664761aa37 · outbound

This paper cites Shysheya, A., Diaconu, C., Bergamin, F., Perdikaris, P., Hern´andez-Lobato, J.

Particle-Guided Diffusion Models for Partial Differential Equations Shysheya, A., Diaconu, C., Bergamin, F., Perdikaris, P., Hern´andez-Lobato, J

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:17.047854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:17.047854Z digest=sha256:4b7ace6db563e4d13bdb238abc681993ce28a90658dba70992cab9bbd0313f62

Observation 8b6b4fbb-2c15-48cd-99a5-d3a31b799bd3 · outbound

This paper cites Stevens, T.

Particle-Guided Diffusion Models for Partial Differential Equations Stevens, T

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:17.189608Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:17.189608Z digest=sha256:bea41e3019c5088f761a68fa41f7f0aaee89cb7d73f6227785cc65ca4c10978d

Observation e50f3276-83cc-4621-9cfc-06a4a60c94f3 · outbound

This paper cites Kelvinius, F.

Particle-Guided Diffusion Models for Partial Differential Equations Kelvinius, F

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:16.683513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:16.683513Z digest=sha256:8d984604399fe8a751e2f0fc4ccf818a9195df03e092c675900a1835eea1e9c2

Observation 29271ae9-8b52-4ca1-95ff-4bdb0b212513 · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

Particle-Guided Diffusion Models for Partial Differential Equations DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:16.940051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:16.940051Z digest=sha256:a3853e4c7440770fe0ff595a70fa2abc0b5d09f8c42ec567a5993626898a8ec3

Observation f86ad6fa-fc01-4521-ba43-5b8c98020019 · outbound

This paper cites Diffusion models for inverse problems.

Particle-Guided Diffusion Models for Partial Differential Equations Diffusion models for inverse problems

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-03T06:13:16.293605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:13:16.293605Z digest=sha256:52b6aa4e4d2ae26616178ea041b99c92825d07f5922fc627186f33fa02129ead

Pith citing papers

Observation 0670f053-9743-45eb-add3-de9de1940f87 · inbound

Flow Learners for PDEs: Toward a Physics-to-Physics Paradigm for Scientific Computing cites this paper.

Flow Learners for PDEs: Toward a Physics-to-Physics Paradigm for Scientific Computing Particle-Guided Diffusion Models for Partial Differential Equations

Reference 31

Resolution
verified exact
arxiv_id, observed 2026-05-28T03:04:45.314611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-13T22:19:18.600578Z digest=sha256:f86c69ea6de996c993428a73eb5021d9579c7db2f3992196ec6baf093e95b4a5

Observation f8f20e0c-78cf-4e08-8039-cd1446062f66 · inbound

Flow Learners for PDEs: Toward a Physics-to-Physics Paradigm for Scientific Computing cites this paper.

Flow Learners for PDEs: Toward a Physics-to-Physics Paradigm for Scientific Computing Particle-Guided Diffusion Models for Partial Differential Equations

Reference 30

Resolution
unresolved
no resolver link, observed 2026-07-13T14:19:58.645410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T14:19:58.645410Z digest=sha256:ade14cc4728d23f6dd0b64b82af2c265675500751de178357b0a4af654401164