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Paper Citation Record · LEDGER

Flow marching for a generative PDE foundation model

As of 4 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 1 inbound Pith citation observation for arXiv:2509.18611.

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

pith.paper-citation-record.v1
2509.18611 v2

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-18T13:48:14.532529Z

measured 66 of 66 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T23:47:27.891346Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

65 of 65 outbound references displayed

  • verified exact43
  • verified fuzzy17
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch4

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 42ae5851-8db3-4efb-80f1-58d3165d1517 · outbound

This paper cites write newline.

Flow marching for a generative PDE foundation model write newline

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.813805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:51b6abd3606e6b0932392103e94120740cc5c8659481b5f817d4d8695b827275

Observation 14f1ed87-db78-43d5-a662-5c375e49870f · outbound

This paper cites @esa (Ref.

Flow marching for a generative PDE foundation model @esa (Ref

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.817280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:42d5795bbbcade6ae615527c52d92040cdcf3276c42c8be2a01b681c2960ab7b

Observation d872f2cf-9014-454a-80cf-0f32a79f0c0c · outbound

This paper cites an unresolved cited work.

Flow marching for a generative PDE foundation model Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-18T13:51:26.780935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:9d1d1c1b0ac5138434a450c12edf4fd1a9acfb2b1636a531e641f19b3b64492e

Observation 8708c14a-b6aa-421b-b4f1-212b8583324c · outbound

This paper cites ϟ ` :QYϛV!NU xZ͒K KM.

Flow marching for a generative PDE foundation model ϟ ` :QYϛV!NU xZ͒K KM

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.785077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:42d7229c0d83d84d55b03121275cbeaf86c7a7db83f08247ca98d55b3c59b950

Observation 0d40fea3-8fe5-4732-a1dd-bf9a4ebf10d4 · outbound

This paper cites Universal physics transformers: A framework for efficiently scaling neural operators.

Flow marching for a generative PDE foundation model Universal physics transformers: A framework for efficiently scaling neural operators

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.788613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:2ca852bb2a27bb5bdacd799ffab130f673e48ec1876ed495a5bd6d16dfb224fd

Observation 9490dd99-a5c4-49cb-bdba-19d473376aba · outbound

This paper cites Why Exposure Bias Matters: An Imitation Learning Perspective of Error Accumulation in Language Generation.

Flow marching for a generative PDE foundation model Why Exposure Bias Matters: An Imitation Learning Perspective of Error Accumulation in Language Generation

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.479459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:1a6dd74848c23f001bd1f71ba9cce563164a04cfcd199ee66edc65555f3f1149

Observation 501fd419-0255-4bdf-b76a-56566785b213 · outbound

This paper cites Neural operators for accelerating scientific simulations and design.

Flow marching for a generative PDE foundation model Neural operators for accelerating scientific simulations and design

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.777583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:0918cb3a7434a96d7271c9e56a60865c1d7eb70213b2aad397ac91f266367644

Observation 49d78ffb-0188-4ae6-aef0-eff9845d32af · outbound

This paper cites Nonlinear ensemble filtering with diffusion models: Application to the surface quasi-geostrophic dynamics.

Flow marching for a generative PDE foundation model Nonlinear ensemble filtering with diffusion models: Application to the surface quasi-geostrophic dynamics

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.616475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:a50884b37be006afa048e2db47e19f5082f4ed63953944cc0cdea40ef7e1dd54

Observation 90d9080d-0350-40ab-a0d7-cbfdec7a79ad · outbound

This paper cites A score-based filter for nonlinear data assimilation.

Flow marching for a generative PDE foundation model A score-based filter for nonlinear data assimilation

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.773951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:5b6916a189c6d5da48479624e2e5de208623b91ad619c5c049f22012d802cb18

Observation b5db45a3-c998-42b7-84fa-8a8bbe6cdd4c · outbound

This paper cites Physics-Informed Diffusion Models.

Flow marching for a generative PDE foundation model Physics-Informed Diffusion Models

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.655084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:306452444123705182a427ca76ee6c26718cd5264d508c0ad05e1d10d231cf33

Observation 58ccd5c4-cb7b-4926-8a94-48973c606e57 · outbound

This paper cites DYffusion: A Dynamics-informed Diffusion Model for Spatiotemporal Forecasting.

Flow marching for a generative PDE foundation model DYffusion: A Dynamics-informed Diffusion Model for Spatiotemporal Forecasting

Reference 11

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T13:51:25.463439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:c75818b11e78a1f54ac3b7efc661543328623a9de050c0fe3db8ff0018b8ec28

Observation 64f1a78b-f778-4a86-a66c-daf4971212ea · outbound

This paper cites Vicon: Vision in-context operator networks for multi-physics fluid dynamics prediction.

Flow marching for a generative PDE foundation model Vicon: Vision in-context operator networks for multi-physics fluid dynamics prediction

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.441389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:cfc164051093ba941b446beb99b42e9d4e32ffee77909fb8f40dc94af7cdf148

Observation 8664bf2e-1593-4f1c-ae2a-286d05010159 · outbound

This paper cites Diffusion Forcing: Next-token Prediction Meets Full-Sequence Diffusion.

Flow marching for a generative PDE foundation model Diffusion Forcing: Next-token Prediction Meets Full-Sequence Diffusion

Reference 13

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T13:51:25.524567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:b6c2f1cf16842cdc0c5cf83785031de4e836711e25c3ce4381ab0a95976add7b

Observation 4cc88b7d-e04f-4363-8f8e-7404c95e37b7 · outbound

This paper cites GAN-DUF: Hierarchical Deep Generative Models for Design Under Free-Form Geometric Uncertainty.

Flow marching for a generative PDE foundation model GAN-DUF: Hierarchical Deep Generative Models for Design Under Free-Form Geometric Uncertainty

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.474305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:d6b01b01868be7a4989315cd5bbd617549ce7368ab552e488c9f0a20e8147f08

Observation c8232ee5-e51e-4d74-a13e-f8adcf9eb3b4 · outbound

This paper cites Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modeling.

Flow marching for a generative PDE foundation model Empirical Evaluation of Gated Recurrent Neural Networks on Sequence Modeling

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.446334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:eed7e47449a1e7908b66f5d04f8ff766bfedd91257255a98d7c9d50f422ed09a

Observation 94d84c74-113d-47b9-857d-957ce6ac8768 · outbound

This paper cites FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning.

Flow marching for a generative PDE foundation model FlashAttention-2: Faster Attention with Better Parallelism and Work Partitioning

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.595404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:8b1b8f7d9767170c6e9b6a7b511e49cdbc0660b780cc1dac86bff5f1173066f0

Observation 67865dd0-faea-4cb0-822d-9870636fd62e · outbound

This paper cites Scaling Rectified Flow Transformers for High-Resolution Image Synthesis.

Flow marching for a generative PDE foundation model Scaling Rectified Flow Transformers for High-Resolution Image Synthesis

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.502855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:89b0c258ddbf349980a56d1934d5736d59eaf88c8e0dfe636a92ec111d6872b9

Observation 783eed5c-c00b-4f22-9e63-fa92f743c528 · outbound

This paper cites Dropout as a bayesian approximation: Representing model uncertainty in deep learning.

Flow marching for a generative PDE foundation model Dropout as a bayesian approximation: Representing model uncertainty in deep learning

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.770410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:18dc69e752587cd8510a1317a65ef0b73a37d670e40ebbee151e49ea840497f7

Observation 14ed74e2-1c78-4587-8266-cd96dfc9d28c · outbound

This paper cites Auto-Regressive Moving Diffusion Models for Time Series Forecasting.

Flow marching for a generative PDE foundation model Auto-Regressive Moving Diffusion Models for Time Series Forecasting

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.665219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:85339f11437fccae86eddbaf354ab73e359911bcae793ff61e62b72b7274f8d4

Observation 9bc497ef-ca4b-4856-b249-1f3b39a4cda1 · outbound

This paper cites Ca2-VDM: Efficient Autoregressive Video Diffusion Model with Causal Generation and Cache Sharing.

Flow marching for a generative PDE foundation model Ca2-VDM: Efficient Autoregressive Video Diffusion Model with Causal Generation and Cache Sharing

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.606866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:b787cf2f64d7051828032dfe926e9c5413a3ea1a6806c39428e29a6cd9020d8c

Observation 093802e2-5b9e-4c46-95cd-8bb134fcd597 · outbound

This paper cites Towards Multi-spatiotemporal-scale Generalized PDE Modeling.

Flow marching for a generative PDE foundation model Towards Multi-spatiotemporal-scale Generalized PDE Modeling

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.581096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:a76a7b38c83061d371e618b76bda23cc2735ce591df2b667d86fad069fe6b3f5

Observation a76ca4bf-c885-4701-ab4f-dcb157ef389b · outbound

This paper cites Learnings from Scaling Visual Tokenizers for Reconstruction and Generation.

Flow marching for a generative PDE foundation model Learnings from Scaling Visual Tokenizers for Reconstruction and Generation

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.457933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:0b39118e3c4c9e42ec74f03631063977de6806a1a491844a219d5c8169147529

Observation c4685dd2-b817-4322-8a7b-4d41bf5a6745 · outbound

This paper cites DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training.

Flow marching for a generative PDE foundation model DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.491492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:8b309370ecdacb47dffed6bb145d000eabd54a75b84059e76fdc3e1caa291082

Observation f7f1769f-8f63-4290-af35-fe64a1ef796f · outbound

This paper cites Ho, J., Jain, A., and Abbeel, P.

Flow marching for a generative PDE foundation model Ho, J., Jain, A., and Abbeel, P

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.643237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:069a8f6e2eeab9f171dc5723f70a24b1c76633c8bfd783680eed58e5a631adf7

Observation 55bd3f88-1254-4004-8711-f9fb280f03af · outbound

This paper cites Video Diffusion Models.

Flow marching for a generative PDE foundation model Video Diffusion Models

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.649591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:9d48fb104e2c3c14f5a5233eabedd6cff1b0cc82e9f41fca80697b3b5fd45cbc

Observation 708e7477-a669-4c1b-bc22-33a557963b0e · outbound

This paper cites DiffusionPDE: Generative PDE-Solving Under Partial Observation.

Flow marching for a generative PDE foundation model DiffusionPDE: Generative PDE-Solving Under Partial Observation

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.611962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:648cc4f828cd85b9df086cfe3106836857da4dda7bc4aeaa3ef2ed748676636a

Observation ba5f92c1-72e2-4b84-bedc-659cd488f886 · outbound

This paper cites Self Forcing: Bridging the Train-Test Gap in Autoregressive Video Diffusion.

Flow marching for a generative PDE foundation model Self Forcing: Bridging the Train-Test Gap in Autoregressive Video Diffusion

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.513569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:fd3bacf2860a3ec7f3d16573531e2bc1fe84e120abdbef9e20100ff5028c973e

Observation 83f2817f-cd62-411c-92e4-934d9e663b21 · outbound

This paper cites ACC-UNet: A Completely Convolutional UNet model for the 2020s.

Flow marching for a generative PDE foundation model ACC-UNet: A Completely Convolutional UNet model for the 2020s

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.530539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:cf1a3a8c90dec499e3d0f0b011b7dea421f8b77d52581d0ae6f267d3605f1abe

Observation 21b48cd7-2cb8-4486-b047-0a941f03777c · outbound

This paper cites Generative Reliability-Based Design Optimization Using In-Context Learning Capabilities of Large Language Models.

Flow marching for a generative PDE foundation model Generative Reliability-Based Design Optimization Using In-Context Learning Capabilities of Large Language Models

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.660585Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:32acda083b77b31e7ed553f1ac3cc43a67259d5b1ada9646a790c6d9f52926fc

Observation 446c8ca3-9013-4f3c-a1fe-17c3df22f85e · outbound

This paper cites Pyramidal flow matching for efficient video generative modeling.arXiv preprint arXiv:2410.05954.

Flow marching for a generative PDE foundation model Pyramidal flow matching for efficient video generative modeling.arXiv preprint arXiv:2410.05954

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.601219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:0e6ae6d3f72ff0e87f511749b0516e6eadf26be54656dc5bdc4f391b8f04050c

Observation 2d622b43-4309-40ad-b7d3-f0e35ce0b5c0 · outbound

This paper cites Neural operator: Learning maps between function spaces with applications to pdes.

Flow marching for a generative PDE foundation model Neural operator: Learning maps between function spaces with applications to pdes

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.759435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:7adeb90cb295695b3d2204d384862e2eadb9ec38e14587c4a46ebe787832fa87

Observation 7376f3e1-3284-4989-8410-eecc690d3a61 · outbound

This paper cites Learning nonlinear reduced models from data with operator inference.

Flow marching for a generative PDE foundation model Learning nonlinear reduced models from data with operator inference

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.763004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:b30d710811cc874abec7fff214f4bac73f47d6294b44ed109d23a6a9091fb475

Observation 15e6e14f-69f3-4c78-9ea6-b34d68c20d41 · outbound

This paper cites Repa-e: Unlocking vae for end-to-end tuning with latent diffusion transformers.

Flow marching for a generative PDE foundation model Repa-e: Unlocking vae for end-to-end tuning with latent diffusion transformers

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.557408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:8436da8ebcb9d6be2f669da801e42bdc5892a4d962092106aea467174a18ea47

Observation cc449060-aab3-451e-8e3c-b9a83f5672a5 · outbound

This paper cites Generative emulation of weather forecast ensembles with diffusion models.

Flow marching for a generative PDE foundation model Generative emulation of weather forecast ensembles with diffusion models

Reference 34

Resolution
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doi, observed 2026-05-18T13:51:25.344117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:fdaaa6e039063e06154868c7f24bd34ff46bdabe141936aee08d7e328c077baf

Observation c0a3c2c4-887b-4b17-9072-a34171d3e748 · outbound

This paper cites Transformer for Partial Differential Equations' Operator Learning.

Flow marching for a generative PDE foundation model Transformer for Partial Differential Equations' Operator Learning

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.535307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:c0b3b29802846d155d4c2044683632ce988eb8ecb5e0561ff2d0360d3540b5b4

Observation a22feddb-fc6c-4168-ba76-9f986a1cd166 · outbound

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

Flow marching for a generative PDE foundation model Generative Latent Neural PDE Solver using Flow Matching

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.540446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:59a2270f5759cccf9bc9b805a6531fcdd1167a651a31bb8ca23b2c78553a6442

Observation ba66ae8f-7e2e-45a9-b944-4d471645f7a1 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Flow marching for a generative PDE foundation model Fourier Neural Operator for Parametric Partial Differential Equations

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.451982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:641b1e93b24a378614547ca9a41c2d04b1900f69f213fbf19399b1c4099e4222

Observation d4db6ff4-ce1a-4aff-87d7-a2bdf05ce905 · outbound

This paper cites Physics-informed neural operator for learning partial differential equations.

Flow marching for a generative PDE foundation model Physics-informed neural operator for learning partial differential equations

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.807668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:2073b007f195a0039e21ed3ddfbb76f36e9eef7933dfb7a9c1f82e24e01b529e

Observation f13535c4-b1a7-4339-a48d-729bd0bf7afd · outbound

This paper cites Flow Matching for Generative Modeling.

Flow marching for a generative PDE foundation model Flow Matching for Generative Modeling

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.552348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:9f2892a6e4ddfe78ccc72ce74898bd6fd0e94d627ae2b375db5ff7d27cda8ef2

Observation 4d3b7f73-1093-4d5c-b3b7-4dfb1a025aef · outbound

This paper cites Flow-GRPO: Training Flow Matching Models via Online RL.

Flow marching for a generative PDE foundation model Flow-GRPO: Training Flow Matching Models via Online RL

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.562414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:0318564b5140b235605903ff0140a1ea4732c91f7e8adc2f89105e996519f6d6

Observation e24a2e19-f0ee-4007-8e70-0591b8450345 · outbound

This paper cites Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow.

Flow marching for a generative PDE foundation model Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.590708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:02269594a76a1acfd0445c99e6dd9cf8871efe230bb5b37930b07ff316159f81

Observation 62bda610-a10a-43b9-81b3-1e146d838772 · outbound

This paper cites PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics.

Flow marching for a generative PDE foundation model PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.630701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:06f139626cbd3a186a80fdc3e0c1bace0cff9a698ed78aaeb4acea835819f3fe

Observation 88247227-2ab9-4951-b591-af3385dfb5b6 · outbound

This paper cites Physics informed token transformer for solving partial differential equations.

Flow marching for a generative PDE foundation model Physics informed token transformer for solving partial differential equations

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.766856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:198b9e8baaab35912c4355ce75306e9003a983eb8f95331e2b60f67a59bbfa84

Observation dca72ce0-ba49-40ba-8215-89fb02198940 · outbound

This paper cites Learning nonlinear operators via deeponet based on the universal approximation theorem of operators.

Flow marching for a generative PDE foundation model Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.755528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:60931cea78855f845a5e9bee858fcac4b09db5abb7a629c499ba45af1662a045

Observation d8cc6f4e-e343-4de9-8dbb-618ed047e943 · outbound

This paper cites SiT: Exploring Flow and Diffusion-based Generative Models with Scalable Interpolant Transformers.

Flow marching for a generative PDE foundation model SiT: Exploring Flow and Diffusion-based Generative Models with Scalable Interpolant Transformers

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.634942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:98c6f7920675644c4aa03eb3f1931305486ad9a1b8ace2d1d4ebce8910eed0cc

Observation b1f212b1-0a2a-44a8-af4f-9ad4eda950e8 · outbound

This paper cites Multiple Physics Pretraining for Physical Surrogate Models.

Flow marching for a generative PDE foundation model Multiple Physics Pretraining for Physical Surrogate Models

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.497762Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:e30c92d5ba62b89466659434e74415934d3581cc0024ec663b42f52d660bc447

Observation bf194db3-e7bb-4de6-8390-de23267c6976 · outbound

This paper cites The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning.

Flow marching for a generative PDE foundation model The Well: a Large-Scale Collection of Diverse Physics Simulations for Machine Learning

Reference 47

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.572303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:28e92824f4ed5591e25f68846161a4969cf3d68b9ede8232c5f2a8795513a5bb

Observation 52179522-052a-4cc6-b76f-d229dd364c0a · outbound

This paper cites Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling.

Flow marching for a generative PDE foundation model Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.621333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:0f0b4a0db5b0571f68290605ebd7012e5506a2c29d92d5e38ab5f2c7f4803485

Observation 0571b66a-5d88-4b6d-9748-2fb047c4a79e · outbound

This paper cites On Calibrating Diffusion Probabilistic Models.

Flow marching for a generative PDE foundation model On Calibrating Diffusion Probabilistic Models

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.518825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:535b7c369729587b275b97c29e9c4204dfb8ff02f35219cb99361e65857d9457

Observation 5c92964f-c6c3-43e3-a803-e263b19db0fb · outbound

This paper cites Scalable Diffusion Models with Transformers.

Flow marching for a generative PDE foundation model Scalable Diffusion Models with Transformers

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.585536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:be15476b6f7ebaa748fe71633cf5b15c4a1a04d3ccb2592a2949c38d32f84c44

Observation 74949ddb-b160-44d0-9461-a20172d2a85c · outbound

This paper cites GenCast: Diffusion-based ensemble forecasting for medium-range weather.

Flow marching for a generative PDE foundation model GenCast: Diffusion-based ensemble forecasting for medium-range weather

Reference 51

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T13:51:25.625901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:15602445bff0f4e2d97e3956c52054dbb7091eda0c13e950799512400d1ac82d

Observation 721911a3-78db-4067-b5f8-28e71db48c96 · outbound

This paper cites High-Resolution Image Synthesis with Latent Diffusion Models.

Flow marching for a generative PDE foundation model High-Resolution Image Synthesis with Latent Diffusion Models

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.468194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:845b24c03875299a9ecdf3d56913ef799a2a4c46f876b9d09a437806a2751c33

Observation 25d37f88-68f5-4292-a042-076529afe40e · outbound

This paper cites U-Net: Convolutional Networks for Biomedical Image Segmentation.

Flow marching for a generative PDE foundation model U-Net: Convolutional Networks for Biomedical Image Segmentation

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.576340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:d82b206bac3492af1d045e70f553bb6ed65a6fd631f0e47e4cc98d64f2210f32

Observation 7f873b49-c50d-422d-a19f-b4270c657b13 · outbound

This paper cites Turbulent flow data as pytorch tensors for ml: Kolmogorov flow at re=222, and kelvin-helmholtz instability.

Flow marching for a generative PDE foundation model Turbulent flow data as pytorch tensors for ml: Kolmogorov flow at re=222, and kelvin-helmholtz instability

Reference 54

Resolution
verified exact
doi, observed 2026-05-18T13:51:25.348333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:7d9db0c81b737376490ebed9cca20ec3d88f664f050acc531c5b6c40a745d194

Observation 6df1de84-2412-4633-a4eb-7a933b820d55 · outbound

This paper cites Towards a foundation model for partial differential equations: Multioperator learning and extrapolation.

Flow marching for a generative PDE foundation model Towards a foundation model for partial differential equations: Multioperator learning and extrapolation

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.810543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:e5e1728e045d0b432ae09e2825f23e0a670fb31c1cc94e013d7f5e0f4490f9d6

Observation ad6de6ae-19ec-465a-be0a-aba741fde0d5 · outbound

This paper cites PDEBENCH: An Extensive Benchmark for Scientific Machine Learning.

Flow marching for a generative PDE foundation model PDEBENCH: An Extensive Benchmark for Scientific Machine Learning

Reference 56

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.485863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:9d1e1f3d6f87a5bf987f8e7caa99a691f6dbeafcafc5f890e323407bb29c6535

Observation e85d3d44-fbaf-468c-9262-137cdd5948dd · outbound

This paper cites Improving and generalizing flow-based generative models with minibatch optimal transport.

Flow marching for a generative PDE foundation model Improving and generalizing flow-based generative models with minibatch optimal transport

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.545967Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:d574a42598c3726bed8f0182d0999719dbdde6c43b496dbb5511d3b6e516f2e6

Observation 5147cf39-d010-4236-8421-a8e9397c5fa1 · outbound

This paper cites Llama 2: Open Foundation and Fine-Tuned Chat Models.

Flow marching for a generative PDE foundation model Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-05-18T13:51:25.639111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:42a4caa9818aca6162cff4abf121d990703fa15aed73c839efa3c5ec1f161a8f

Observation 69b96cb3-7354-4d38-99ff-ac3015134a4a · outbound

This paper cites Attention is all you need.

Flow marching for a generative PDE foundation model Attention is all you need

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.804502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:c0c3525aad0bb50353b92e29e0222af93e12f0b8f8b764dc9dc82d00433ac792

Observation 52c4445e-de8b-4763-9bd6-30acb447fecc · outbound

This paper cites Physics-guided training of GAN to improve accuracy in airfoil design synthesis.

Flow marching for a generative PDE foundation model Physics-guided training of GAN to improve accuracy in airfoil design synthesis

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.508363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:21e1ea0d6c73bf4bbca5b18eb3b43769da7b43bac41155faf45ada316c325737

Observation e25282a3-0b28-4e3b-acd1-7152b28645cf · outbound

This paper cites Progressive autoregressive video diffusion models.

Flow marching for a generative PDE foundation model Progressive autoregressive video diffusion models

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.796046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:197a27a27cd91d4423bbe388eba7bdf7f269315d3325c1fda8f7e3531a2ce5ba

Observation 9462ec76-085d-4821-ae9a-2017861959f2 · outbound

This paper cites In-context operator learning with data prompts for differential equation problems.

Flow marching for a generative PDE foundation model In-context operator learning with data prompts for differential equation problems

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.801406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:b91d28d336112b035a3dd1f40d8c20467a03e2e15e7065f610455e0b12d6108a

Observation 46f534cb-4d66-409d-9c6e-d1e61a16f874 · outbound

This paper cites PDEformer: Towards a Foundation Model for One-Dimensional Partial Differential Equations.

Flow marching for a generative PDE foundation model PDEformer: Towards a Foundation Model for One-Dimensional Partial Differential Equations

Reference 63

Resolution
verified exact
arxiv_id, observed 2026-05-18T13:51:25.567782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:5f78c42f116fc463bc8a6d7a955b4a70fe7ed64a98d1f4f193a2071244363990

Observation 456aa972-9775-4d3a-ba34-8d6c1778dc7c · outbound

This paper cites MatterGen: a generative model for inorganic materials design.

Flow marching for a generative PDE foundation model MatterGen: a generative model for inorganic materials design

Reference 64

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T13:51:25.669998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:32a9dd36115e77cbe5960bde048059c3c0ef1bf4121b599947edd82d6b529ddd

Observation eb7c5905-5b73-432f-800e-d6d49d382f2b · outbound

This paper cites Upscale-a-video: Temporal-consistent diffusion model for real-world video super-resolution.

Flow marching for a generative PDE foundation model Upscale-a-video: Temporal-consistent diffusion model for real-world video super-resolution

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T13:51:26.792263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=arxiv_source observed=2026-05-18T13:48:14.532529Z digest=sha256:72f54296a08232df3fb6fdafe95980dcb8c1e1508bb2bc4523628f3f9bef5690

Pith citing papers

Observation 4ff7826f-ff74-4b1e-9e6e-c5363a52a9d2 · inbound

Neural operator discovery from heterogeneous trajectories cites this paper.

Neural operator discovery from heterogeneous trajectories Flow marching for a generative PDE foundation model

Reference 14

Resolution
unresolved
no resolver link, observed 2026-07-31T23:47:27.891346Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T23:47:27.891346Z digest=sha256:be92bb3ec9aac451356386a14f71b1f1a7c0faf0d44b24d8743c21b24b149c39