Paper Citation Record · LEDGER

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics

As of 10 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 5 inbound Pith citation observations for arXiv:2501.18972.

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

pith.paper-citation-record.v1
2501.18972 v2

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T21:55:53.144024Z

measured 68 of 68 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:38:30.253398Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-22T07:34:42.655465Z

Reference resolution

63 of 63 outbound references displayed

verified exact1
verified fuzzy8
unresolved54
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 25203bba-9bba-45f7-80da-ffbb3d7d8557 · outbound

This paper cites Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phone.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Phi-3 Technical Report: A Highly Capable Language Model Locally on Your Phone

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.185143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90e9a008-cdef-40a6-b340-91da9b326512 · outbound

This paper cites Phi-4 Technical Report.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Phi-4 Technical Report

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.191194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7904b83-5da6-42f5-a38a-e89b3b80e909 · outbound

This paper cites GPT-4 Technical Report.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics GPT-4 Technical Report

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.197615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90b4c344-4ed6-4df5-8561-a80de9ae8770 · outbound

This paper cites Is space-time attention all you need for video understanding? InICML, volume 2, page 4, 2021.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Is space-time attention all you need for video understanding? InICML, volume 2, page 4, 2021

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:55:54.431733Z

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.

Observation 3d818a50-96b0-4409-a625-f42938d3444b · outbound

This paper cites A Foundation Model for the Earth System.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics A Foundation Model for the Earth System

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.215633Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 37aecba0-8ec5-41c9-98b2-aa9e59f371fa · outbound

This paper cites On the Opportunities and Risks of Foundation Models.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics On the Opportunities and Risks of Foundation Models

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.224269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b17e94b0-f049-4e7d-9c19-945827b3eb9f · outbound

This paper cites Video generation models as world simulators, 2024.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Video generation models as world simulators, 2024

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.303980Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40a7615f-4938-425a-b4ba-7be178905628 · outbound

This paper cites Language models are few-shot learners.Advances in neural information processing systems, 33:1877– 1901, 2020.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Language models are few-shot learners.Advances in neural information processing systems, 33:1877– 1901, 2020

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:55:54.400409Z

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.

Observation 11b4494f-d2ec-483c-a239-0b28a2efc2d6 · outbound

This paper cites Vicon: Vision in-context operator networks for multi-physics fluid dynamics prediction.arXiv preprint arXiv:2411.16063, 2024.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Vicon: Vision in-context operator networks for multi-physics fluid dynamics prediction.arXiv preprint arXiv:2411.16063, 2024

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.410908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3543de33-41a1-4dac-9c73-338bbaed44f8 · outbound

This paper cites LLM4TS: Aligning Pre-Trained LLMs as Data-Efficient Time-Series Forecasters.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics LLM4TS: Aligning Pre-Trained LLMs as Data-Efficient Time-Series Forecasters

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.417582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9b9eddb-f433-4e76-a93a-b50da08c84d0 · outbound

This paper cites Generative pretraining from pixels.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Generative pretraining from pixels

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.423256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f813bed-b38a-4d76-bd61-04144c0e693a · outbound

This paper cites An image is worth 16x16 words: Transformers for image recognition at scale.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics An image is worth 16x16 words: Transformers for image recognition at scale

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.429360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d69010e3-7f2d-4839-8ca5-443961d317c9 · outbound

This paper cites An image is worth 16x16 words: Transformers for image recognition at scale.ICLR, 2021.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics An image is worth 16x16 words: Transformers for image recognition at scale.ICLR, 2021

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.434384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f68dc8e-cc59-4523-8ff5-52d1f3b38ba7 · outbound

This paper cites The Llama 3 Herd of Models.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics The Llama 3 Herd of Models

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.439864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 528c6548-0839-4fbc-912c-3a55a206b301 · outbound

This paper cites Large language models are zero-shot time series forecasters.Advances in Neural Information Processing Systems, 36, 2024.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Large language models are zero-shot time series forecasters.Advances in Neural Information Processing Systems, 36, 2024

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:55:54.346499Z

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.

Observation 41e0fe6c-30d6-405b-b4b1-6114e859d2b9 · outbound

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

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Towards Multi-spatiotemporal-scale Generalized PDE Modeling

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.449127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8e9907eb-1df2-4828-b78e-497241b1ff6d · outbound

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

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.454343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc0d3e90-06e0-47ba-b890-b80674693fdf · outbound

This paper cites Query-Key Normalization for Transformers.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Query-Key Normalization for Transformers

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.459790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9dd6e1b-efef-441f-b8d4-cb81142a488c · outbound

This paper cites Poseidon: Efficient Foundation Models for PDEs.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Poseidon: Efficient Foundation Models for PDEs

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.464949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6780e3d-14a4-46ab-85dd-c836b3655e13 · outbound

This paper cites Lora: Low-rank adaptation of large language models.ICLR, 1(2):3, 2022.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Lora: Low-rank adaptation of large language models.ICLR, 1(2):3, 2022

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.469838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 194d7850-8311-4820-99d3-d46c01d299c6 · outbound

This paper cites MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategies.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics MiniCPM: Unveiling the Potential of Small Language Models with Scalable Training Strategies

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.475501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ae653d9-9236-4d70-a6d3-d987248e0f7b · outbound

This paper cites Time-LLM: Time Series Forecasting by Reprogramming Large Language Models.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Time-LLM: Time Series Forecasting by Reprogramming Large Language Models

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.480954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bedc703d-e380-4ec8-8618-e46144769f18 · outbound

This paper cites Time-Series Forecasting, Knowledge Distillation, and Refinement within a Multimodal PDE Foundation Model.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Time-Series Forecasting, Knowledge Distillation, and Refinement within a Multimodal PDE Foundation Model

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.488028Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3aab4be7-c624-4a16-89d8-c9baae15202e · outbound

This paper cites Muon: An optimizer for hidden layers in neural networks, 2024.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Muon: An optimizer for hidden layers in neural networks, 2024

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.495360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6113e442-f7e7-4472-a78c-aa9113b09829 · outbound

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

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Transformer for Partial Differential Equations' Operator Learning

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.500577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee330250-5ac2-488a-8c4c-02d891726651 · outbound

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

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Fourier Neural Operator for Parametric Partial Differential Equations

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.505931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 48c925f2-2d09-4837-8de7-9f8eca991b2b · outbound

This paper cites Muon is Scalable for LLM Training.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Muon is Scalable for LLM Training

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.512320Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d43094b9-c251-498a-890a-bd62346f1c3a · outbound

This paper cites How Can Large Language Models Understand Spatial-Temporal Data?.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics How Can Large Language Models Understand Spatial-Temporal Data?

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.551448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7440e487-37f4-4650-9c4e-2b4f1c76eea8 · outbound

This paper cites Gated Transformer Networks for Multivariate Time Series Classification.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Gated Transformer Networks for Multivariate Time Series Classification

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.579668Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27120485-e7d5-40d6-8382-632f6a16a1dd · outbound

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

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics PROSE-FD: A Multimodal PDE Foundation Model for Learning Multiple Operators for Forecasting Fluid Dynamics

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.608138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4379778-7968-451d-9ce2-478132934e3b · outbound

This paper cites Prose: Predicting multiple operators and symbolic expressions using multimodal transformers.Neural Networks, 180:106707, 2024.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Prose: Predicting multiple operators and symbolic expressions using multimodal transformers.Neural Networks, 180:106707, 2024

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.637175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 07af95f6-2a01-4edd-8c76-eb10eda216d2 · outbound

This paper cites Decoupled weight decay regularization.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Decoupled weight decay regularization

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.665491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd3dce07-8e4d-479c-98de-457eeaff86a0 · outbound

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

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.724207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28a1c033-30d0-4b3f-9d34-a619838e0bf0 · outbound

This paper cites CFDBench: A Large-Scale Benchmark for Machine Learning Methods in Fluid Dynamics.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics CFDBench: A Large-Scale Benchmark for Machine Learning Methods in Fluid Dynamics

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.742504Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 327b89b8-2919-4c97-9f59-762adfcbb6c9 · outbound

This paper cites Multiple Physics Pretraining for Physical Surrogate Models.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Multiple Physics Pretraining for Physical Surrogate Models

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.748491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f1ecc82-d67a-4525-a3a2-f8bc0d7ec89f · outbound

This paper cites FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.755722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6021aad-ce81-47ea-9ce3-9c95651cb88c · outbound

This paper cites Improving language understanding by generative pre-training.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Improving language understanding by generative pre-training

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:55:54.275202Z

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.

Observation cd35e63e-c9c7-41cb-baa0-93dd6cd56eea · outbound

This paper cites Language models are unsupervised multitask learners.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Language models are unsupervised multitask learners

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.766104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01d95ebe-3669-4de6-a1eb-81c5163f75e1 · outbound

This paper cites Hierarchical Text-Conditional Image Generation with CLIP Latents.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Hierarchical Text-Conditional Image Generation with CLIP Latents

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.771155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d3a93c3-306a-4c94-93db-b8aececc0fc6 · outbound

This paper cites Zero-shot text-to-image generation.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Zero-shot text-to-image generation

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:55:54.243560Z

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.

Observation 89fa596e-2e3d-4ca1-b310-397e0c71a3e5 · outbound

This paper cites High-resolution image synthesis with latent diffusion models.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics High-resolution image synthesis with latent diffusion models

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.782987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5f84951-7359-47ff-857e-3526b112930a · outbound

This paper cites U-net: Convolutional networks for biomedical image segmentation.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics U-net: Convolutional networks for biomedical image segmentation

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.788124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abd4f8a7-72dd-470b-bb9a-a8c0d1ffaca5 · outbound

This paper cites Iterative berechung der reziproken matrix.ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 13(1):57– 59, 1933.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Iterative berechung der reziproken matrix.ZAMM-Journal of Applied Mathematics and Mechanics/Zeitschrift für Angewandte Mathematik und Mechanik, 13(1):57– 59, 1933

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:55:54.193792Z

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.

Observation 46c96967-cdfd-454d-b05a-a0c6de76bbed · outbound

This paper cites GLU Variants Improve Transformer.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics GLU Variants Improve Transformer

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.799868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1cac665d-83c9-4be7-ab1d-a1716e03513b · outbound

This paper cites Towards foundation models for scientific machine learning: Characterizing scaling and transfer behavior.Advances in Neural Information Processing Systems, 36, 2024.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Towards foundation models for scientific machine learning: Characterizing scaling and transfer behavior.Advances in Neural Information Processing Systems, 36, 2024

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:55:54.175435Z

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.

Observation 17bee5b5-5b8f-4a90-ac64-a47402c72178 · outbound

This paper cites Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.810222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6189a8de-a12e-4f18-b70d-b6ba10ccfd0c · outbound

This paper cites LeMON: Learning to Learn Multi-Operator Networks.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics LeMON: Learning to Learn Multi-Operator Networks

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.819588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a166520-6b46-4cb1-ab16-d4d864621422 · outbound

This paper cites Pdebench: An extensive benchmark for scientific machine learning.Advances in Neural Information Processing Systems, 35:1596–1611, 2022.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Pdebench: An extensive benchmark for scientific machine learning.Advances in Neural Information Processing Systems, 35:1596–1611, 2022

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.827180Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f82f4cd-b1dd-4cc6-825a-5c1487da2b43 · outbound

This paper cites Are language models actually useful for time series forecasting? InThe Thirty-eighth Annual Conference on Neural Information Processing Systems, 2024.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Are language models actually useful for time series forecasting? InThe Thirty-eighth Annual Conference on Neural Information Processing Systems, 2024

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T21:55:54.146917Z

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.

Observation 595ea753-b140-4a76-b616-c36d49536aaf · outbound

This paper cites Gemma 2: Improving Open Language Models at a Practical Size.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Gemma 2: Improving Open Language Models at a Practical Size

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.838659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb9adb02-a286-4f34-bbbc-87d51055f4d2 · outbound

This paper cites Visual Autoregressive Modeling: Scalable Image Generation via Next-Scale Prediction.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Visual Autoregressive Modeling: Scalable Image Generation via Next-Scale Prediction

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.844188Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c6147b2-8ad5-4918-9fe9-bad523fdb315 · outbound

This paper cites LLaMA: Open and Efficient Foundation Language Models.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics LLaMA: Open and Efficient Foundation Language Models

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.849570Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32d15955-1957-4784-9069-4ca5aa8ee93a · outbound

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

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Llama 2: Open Foundation and Fine-Tuned Chat Models

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.861437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c9a8fe17-d274-4cbc-ae53-55349e8926b7 · outbound

This paper cites Gomez, Łukasz Kaiser, and Illia Polosukhin.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Gomez, Łukasz Kaiser, and Illia Polosukhin

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.893831Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf45c167-ccad-4402-88d0-019d0ef9f345 · outbound

This paper cites Scaling laws in patchification: An image is worth 50,176 tokens and more.arXiv preprint arXiv:2502.03738, 2025.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Scaling laws in patchification: An image is worth 50,176 tokens and more.arXiv preprint arXiv:2502.03738, 2025

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.920955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c10d2b8-f2a7-4b4e-a719-d4a7a50ddb15 · outbound

This paper cites Transolver: A Fast Transformer Solver for PDEs on General Geometries.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.953797Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e96232a6-32d9-4010-a561-c9d25d43b1b7 · outbound

This paper cites Qwen2.5 Technical Report.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Qwen2.5 Technical Report

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:52.982539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d62dfebf-87f2-441a-9fa6-8abed190a9be · outbound

This paper cites In-context operator learning with data prompts for differential equation problems.Proceedings of the National Academy of Sciences, 120(39):e2310142120, 2023.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics In-context operator learning with data prompts for differential equation problems.Proceedings of the National Academy of Sciences, 120(39):e2310142120, 2023

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:53.013220Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b79a0d8e-9013-4948-b717-76e6e88e49ed · outbound

This paper cites Fine-Tune Language Models as Multi-Modal Differential Equation Solvers.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Fine-Tune Language Models as Multi-Modal Differential Equation Solvers

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:53.054900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2219d34e-15a2-40eb-baba-46129ee9ae70 · outbound

This paper cites PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics PDE Generalization of In-Context Operator Networks: A Study on 1D Scalar Nonlinear Conservation Laws

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:53.094170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d70bfb50-363f-48ab-b0d6-ee817e2f391c · outbound

This paper cites Root mean square layer normalization.Advances in Neural Information Processing Systems, 32, 2019.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Root mean square layer normalization.Advances in Neural Information Processing Systems, 32, 2019

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:53.132924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fe333894-cb55-47a4-a55e-c9e366d14407 · outbound

This paper cites DeepONet as a Multi-Operator Extrapolation Model: Distributed Pretraining with Physics-Informed Fine-Tuning.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics DeepONet as a Multi-Operator Extrapolation Model: Distributed Pretraining with Physics-Informed Fine-Tuning

Reference 62

Resolution: verified exact; local_arxiv, observed 2026-08-09T21:55:53.215329Z

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.

Observation 117c9d91-24aa-46a0-857e-b8a2c43cdaa5 · outbound

This paper cites Can LLMs Understand Time Series Anomalies?.

BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics Can LLMs Understand Time Series Anomalies?

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-09T21:55:53.144024Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation bdf2cbbf-c642-4836-808a-68ecc2caf6b7 · inbound

PDEformer-2: A Versatile Foundation Model for Two-Dimensional Partial Differential Equations cites this paper.

PDEformer-2: A Versatile Foundation Model for Two-Dimensional Partial Differential Equations BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-06T15:38:30.253398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c489225e-4439-439e-935e-4a6065b92eda · inbound

Probabilistic operator learning: generative modeling and uncertainty quantification for foundation models of differential equations cites this paper.

Probabilistic operator learning: generative modeling and uncertainty quantification for foundation models of differential equations BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-05T05:33:52.877622Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a71df48b-6423-47b8-a337-e7a0cb57f4cf · inbound

CompNO: A Novel Foundation Model approach for solving Partial Differential Equations cites this paper.

CompNO: A Novel Foundation Model approach for solving Partial Differential Equations BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics

Reference 24

Resolution: verified exact; arxiv_id, observed 2026-05-16T14:53:00.522248Z

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.

Observation 169e5db6-09fb-446a-9c7b-340943c91ad1 · inbound

Continuous Latent Diffusion Language Model cites this paper.

Continuous Latent Diffusion Language Model BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-05-11T20:11:10.830066Z

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.

Observation 2d8266b6-3e8a-4ef2-9cd5-1e439fa15e66 · inbound

Multiple Neural Operators Achieve Near-Optimal Rates for Multi-Task Learning cites this paper.

Multiple Neural Operators Achieve Near-Optimal Rates for Multi-Task Learning BCAT: A Block Causal Transformer for PDE Foundation Models for Fluid Dynamics

Reference 33

Resolution: verified exact; arxiv_id, observed 2026-05-22T07:34:42.659088Z

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.