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Paper Citation Record · LEDGER

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

As of 8 August 2026, this Paper Citation Record lists 62 of 62 outbound references and 17 inbound Pith citation observations for arXiv:2505.22904.

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

pith.paper-citation-record.v1
2505.22904 v2

Coverage vector

measured 62 of 62 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:04:16.498209Z

measured 79 of 79 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 17 of 17 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:00:11.843976Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

62 of 62 outbound references displayed

  • verified exact1
  • verified fuzzy27
  • unresolved34
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External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 4f7fc3d1-abd5-4d37-9501-367477786a01 · outbound

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

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor On the Opportunities and Risks of Foundation Models

Reference 1

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Observation 12313a34-3ff9-4613-84d9-7eb08e82f4c5 · outbound

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

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 2

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Observation 88a790ac-c1c0-431e-b119-2c4ebda7d034 · outbound

This paper cites Ultra-fast meta-solvers for 3d scattering problems using neural operators trained as foundation models.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Ultra-fast meta-solvers for 3d scattering problems using neural operators trained as foundation models

Reference 3

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Observation 769099d0-9032-4c8f-8ee8-4d4ad7dbb67a · outbound

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

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Fourier Neural Operator for Parametric Partial Differential Equations

Reference 4

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Observation 0b951627-90c0-4a68-9b72-41ae34452874 · outbound

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

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators

Reference 5

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Observation c0c2cd4c-c5d8-4987-934b-3ce09e13df9b · outbound

This paper cites Towards foundation models for scientific machine learning: Characterizing scaling and transfer behavior.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Towards foundation models for scientific machine learning: Characterizing scaling and transfer behavior

Reference 6

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Observation d14acd18-c3bd-4a5d-8d48-07de74cc3b01 · outbound

This paper cites Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries

Reference 7

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Observation a5399943-f3c5-4303-986f-7aee2cdcf599 · outbound

This paper cites A foundation model for atomistic materials chemistry.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A foundation model for atomistic materials chemistry

Reference 8

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Observation ad73ea1d-d66c-4c01-8e5e-febb8f37b239 · outbound

This paper cites Mole: a foundation model for molecular graphs using disentangled attention.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Mole: a foundation model for molecular graphs using disentangled attention

Reference 9

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9938618d-f031-427d-9062-334afa537217 · outbound

This paper cites Developing a Foundation Model for Predicting Material Failure.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Developing a Foundation Model for Predicting Material Failure

Reference 10

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Observation 9ff4e5bd-1fe4-4fa8-a74b-88bfeb01d695 · outbound

This paper cites Foundation Models for Generalist Geospatial Artificial Intelligence.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Foundation Models for Generalist Geospatial Artificial Intelligence

Reference 11

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Observation c8414783-d10f-437e-a87e-e8f4acae5b07 · outbound

This paper cites Attention is all you need.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Attention is all you need

Reference 12

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Observation 3ec98c12-4d5d-42e9-984a-f4c9fc809dd1 · outbound

This paper cites Language models are few-shot learners.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Language models are few-shot learners

Reference 13

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Observation 9d46d1fc-735d-4443-a56d-2b1f0d174589 · outbound

This paper cites A survey of gpt-3 family large language models including chatgpt and gpt-4.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A survey of gpt-3 family large language models including chatgpt and gpt-4

Reference 14

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Observation ce50f106-9a26-421a-aab0-ae820f253887 · outbound

This paper cites Sparks of artificial general intelligence: Early experiments with gpt-4, 2023.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Sparks of artificial general intelligence: Early experiments with gpt-4, 2023

Reference 15

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Observation 1667d98f-3ed6-4d4c-9952-919e9a1b9cb9 · outbound

This paper cites Emerging properties in self-supervised vision transformers.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Emerging properties in self-supervised vision transformers

Reference 16

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Observation e94aa284-cbd7-44f2-a602-8178c2113ae9 · outbound

This paper cites Segment anything.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Segment anything

Reference 17

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Observation 29a0fcc5-2764-4832-92c6-2c83ea4153ec · outbound

This paper cites Learning transferable visual models from natural language supervision.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Learning transferable visual models from natural language supervision

Reference 18

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Observation 748b20ef-9d91-4c21-b3af-79257c59d544 · outbound

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

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Zero-shot text-to-image generation

Reference 19

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Observation 5d4dab10-3787-4d5b-b785-5c9391d46d4a · outbound

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

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor High- resolution image synthesis with latent diffusion models

Reference 20

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Observation badea4c3-838b-4d51-a72d-884822560682 · outbound

This paper cites Gemini: A Family of Highly Capable Multimodal Models.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Gemini: A Family of Highly Capable Multimodal Models

Reference 21

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Observation cb7ca296-a4e3-44a3-8215-0db8ba862da1 · outbound

This paper cites DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor DeepSeek-R1: Incentivizing Reasoning Capability in LLMs via Reinforcement Learning

Reference 22

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Observation a4573f5a-1eee-458d-a81b-964932fc5319 · outbound

This paper cites DeepSeek-V3 Technical Report.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor DeepSeek-V3 Technical Report

Reference 23

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Observation b1304888-67a8-4dd7-a834-844044634104 · outbound

This paper cites Lora: Low-rank adaptation of large language models.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Lora: Low-rank adaptation of large language models

Reference 24

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Observation e7cacb84-4c43-4689-80cc-c79b95c84f9d · outbound

This paper cites The well: a large-scale collection of diverse physics simulations for machine learning.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor The well: a large-scale collection of diverse physics simulations for machine learning

Reference 25

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Observation 44ae1e7f-e1bc-49bf-abd8-a74617701eb7 · outbound

This paper cites A static condensation reduced basis element method: approximation and a posteriori error estimation.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A static condensation reduced basis element method: approximation and a posteriori error estimation

Reference 26

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 00bc6a1a-4902-449b-a2b8-d9db37c9ad54 · outbound

This paper cites A static condensation reduced basis element method: Complex problems.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A static condensation reduced basis element method: Complex problems

Reference 27

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 3e99720e-27fc-4031-bcc3-00de62bc9d46 · outbound

This paper cites A port-reduced static condensation reduced basis element method for large component-synthesized structures: approximation and a posteriori error estimation.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A port-reduced static condensation reduced basis element method for large component-synthesized structures: approximation and a posteriori error estimation

Reference 28

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 403914aa-d24e-4e2f-872c-ba7742db67ac · outbound

This paper cites Component-wise reduced order model lattice-type structure design.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Component-wise reduced order model lattice-type structure design

Reference 29

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Observation aa4fe6d6-4275-4083-bcd5-fe2bc729e561 · outbound

This paper cites Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models

Reference 30

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verified fuzzy
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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation d5866542-6604-4cb8-bd09-1af46b184557 · outbound

This paper cites Train small, model big: Scalable physics simulators via reduced order modeling and domain decomposition.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Train small, model big: Scalable physics simulators via reduced order modeling and domain decomposition

Reference 31

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 72c62809-aa6f-4997-b461-48af1c9e64e6 · outbound

This paper cites Scaled-up prediction of steady Navier-Stokes equation with component reduced order modeling.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Scaled-up prediction of steady Navier-Stokes equation with component reduced order modeling

Reference 32

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Observation 91d669cd-eecf-4438-903d-f03fed3aacb2 · outbound

This paper cites Scalable physics-guided data-driven component model reduction for steady Navier-Stokes flow.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Scalable physics-guided data-driven component model reduction for steady Navier-Stokes flow

Reference 33

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Observation 917f78e7-ce86-4000-b403-c990b06a75ab · outbound

This paper cites Scalable nonlinear manifold reduced order model for dynamical systems.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Scalable nonlinear manifold reduced order model for dynamical systems

Reference 34

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Observation 98d17703-04f2-4179-a9b1-f69095595859 · outbound

This paper cites Domain-decomposition least-squares petrov– galerkin (dd-lspg) nonlinear model reduction.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Domain-decomposition least-squares petrov– galerkin (dd-lspg) nonlinear model reduction

Reference 35

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 34d61698-eb88-4c83-8d44-5ec067acd962 · outbound

This paper cites A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A hyperreduced reduced basis element method for reduced-order modeling of component-based nonlinear systems

Reference 36

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:14.397591Z digest=sha256:f7a8317b9fc8b6b7a6131f6e8428e73d6f6ca8da015b90520725669a63594783

Observation e86c2ee9-6070-4213-b8cf-15ac6ebaf465 · outbound

This paper cites Optimal local approximation spaces for component- based static condensation procedures.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Optimal local approximation spaces for component- based static condensation procedures

Reference 37

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source=pdf_text observed=2026-08-07T13:04:14.441549Z digest=sha256:da878e946f67b47537fbe74ceb7735f29d9cdb3259545f9750724c758c27f376

Observation 82afb4bd-302e-4e6f-94e0-a35a201a30c5 · outbound

This paper cites Port reduction in parametrized component static conden- sation: approximation and a posteriori error estimation.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Port reduction in parametrized component static conden- sation: approximation and a posteriori error estimation

Reference 38

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:14.544550Z digest=sha256:7a320afd0caa7b0da0d17e5c0bcea44f5da66b98379a8eda56c7dd84f141cc07

Observation 5154ea8a-451f-4a6a-bbfe-b65f33f1c940 · outbound

This paper cites A fast and accurate do- main decomposition nonlinear manifold reduced order model.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A fast and accurate do- main decomposition nonlinear manifold reduced order model

Reference 39

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source=pdf_text observed=2026-08-07T13:04:14.575428Z digest=sha256:63daf8ad8fc7c7a13076a47f334fa27df1c2b00544b3fa0ef91ef6581cdb7205

Observation 60ebd299-65b8-429d-85ef-6ca049ecf668 · outbound

This paper cites The role of interface boundary conditions and sampling strategies for schwarz-based coupling of projection- based reduced order models.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor The role of interface boundary conditions and sampling strategies for schwarz-based coupling of projection- based reduced order models

Reference 40

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:14.653024Z digest=sha256:f40dac89f8b898038f5185a7635293e71c6a26fb25da60b704aea8929346f226

Observation c528655c-c73d-4467-8e19-27608bd4ac5b · outbound

This paper cites A survey of projection-based model reduction methods for parametric dynamical systems.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A survey of projection-based model reduction methods for parametric dynamical systems

Reference 41

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:04:14.729373Z digest=sha256:6b25c95b97197aff8d3783ea47d3ac5082118ed0986d4e23957664b22f8c5204

Observation ef700012-4b30-4623-8f94-da432efc0170 · outbound

This paper cites Space–time least-squares petrov–galerkin projection for nonlinear model reduction.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Space–time least-squares petrov–galerkin projection for nonlinear model reduction

Reference 42

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T13:04:14.811820Z digest=sha256:36da292411abd835e8d69faba04b37f99977afd8db96dba9cef6b159ca0195c6

Observation 51ca1623-6395-42c9-aafb-39766c18290c · outbound

This paper cites Conservative model reduction for finite-volume models.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Conservative model reduction for finite-volume models

Reference 43

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:14.895307Z digest=sha256:86890087f975245d77085262eb9da7668c2fe0daf1739e8b5a94944e38e2646a

Observation fb9df992-832f-48b7-8930-fd950890214c · outbound

This paper cites Certified Reduced Basis Methods for Parametrized Partial Differential Equations.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Certified Reduced Basis Methods for Parametrized Partial Differential Equations

Reference 44

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:14.955712Z digest=sha256:4a7dad668975ff9f96182962e8c9252c0229c228b87e376e3e4deaa18f56c65b

Observation 2b7daa97-631f-4514-abde-baf31ef299b7 · outbound

This paper cites A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder

Reference 45

Resolution
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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:04:15.045452Z digest=sha256:1489ebb08ab591a9bb0691efc23d9821ba27f49e639216d8461705970806da7f

Observation d53ae8c7-d244-498d-b5b2-a17dd95c3c65 · outbound

This paper cites Model reduction of dynamical systems on nonlinear mani- folds using deep convolutional autoencoders.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Model reduction of dynamical systems on nonlinear mani- folds using deep convolutional autoencoders

Reference 46

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:15.158244Z digest=sha256:1822ccd14cbb22f7919880f7a816983185054ff7da6020413d5c63acb93dd31e

Observation 40a4e14c-10c5-484f-962b-996d1c0ada32 · outbound

This paper cites Reduced Basis Methods for Partial Differential Equations: An Introduction, volume 92.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Reduced Basis Methods for Partial Differential Equations: An Introduction, volume 92

Reference 47

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:15.247690Z digest=sha256:21a74b437f1ac3c2a52021fced8d7ff4e2ec348e297d7859a67643953ab382e0

Observation 03f8fdab-a90e-4ca7-a057-0ac44a79414d · outbound

This paper cites Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Proper orthogonal decomposition closure models for turbulent flows: a numerical comparison

Reference 48

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:15.301109Z digest=sha256:b805cde0b79228a4f6ee1e8005361c8a7ef6978c2d3eed3cdc46a4938831249e

Observation cbf81e10-acb3-49ef-90c5-92d120a68160 · outbound

This paper cites Local Reduced-Order Modeling for Electrostatic Plasmas by Physics-Informed Solution Manifold Decomposition.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Local Reduced-Order Modeling for Electrostatic Plasmas by Physics-Informed Solution Manifold Decomposition

Reference 49

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:04:15.391622Z digest=sha256:972d512f3f7f6b640ceda988eac9c999a1e401ccde38c764d3b130c4c1601f7c

Observation dbbac343-96e3-4c3c-af19-7c583997dc03 · outbound

This paper cites Simultaneous analysis and design in PDE-constrained optimization.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Simultaneous analysis and design in PDE-constrained optimization

Reference 50

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:15.471252Z digest=sha256:b1b6af7a7eafa742439fc2e60036d57cdb7d868fb9cbc3537834490806ff6bc2

Observation 9b7fcaa9-c550-42b2-a4ba-cbbbaf81cdbd · outbound

This paper cites Discovering governing equations from data by sparse identification of nonlinear dynamical systems.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Discovering governing equations from data by sparse identification of nonlinear dynamical systems

Reference 51

Resolution
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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T13:04:15.586180Z digest=sha256:0cb8abcba081c7ab74246a93f4f0c513326cd736b84432a22a4da4143e9ae894

Observation a67fbac2-f6e8-418c-8468-43726b1039dc · outbound

This paper cites Weak sindy for partial differential equations.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Weak sindy for partial differential equations

Reference 52

Resolution
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no resolver link, observed 2026-08-07T13:04:15.699118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:04:15.699118Z digest=sha256:11b812b4f88195b9a51f8b8a33ef8d06a546a52f1cf0df1d2618d8b9340fbced

Observation 01e4d5ab-c693-45f2-b578-7e8b556a408d · outbound

This paper cites A finite element method for crack growth without remeshing.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor A finite element method for crack growth without remeshing

Reference 53

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:15.797496Z digest=sha256:0b7c147cc22745f17878ff9446ded648fdc9d703bfac8516a44603931eb552bc

Observation bd7ba77c-8b1d-4bee-aced-3e7b0beeef2c · outbound

This paper cites Generalized multiscale finite element methods (gmsfem).

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Generalized multiscale finite element methods (gmsfem)

Reference 54

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:15.878655Z digest=sha256:83ecd43415ebc5c804d709e3c9658637d4b407d3aa3e97217653c5b7c53b6c96

Observation fb9115ac-6e31-456a-8957-350fd5d46eb8 · outbound

This paper cites Multiscale finite element methods for high- contrast problems using local spectral basis functions.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Multiscale finite element methods for high- contrast problems using local spectral basis functions

Reference 55

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:15.958667Z digest=sha256:16edcd846bd2ee837ca1bbf459740cd249f862cd8bd4dd2577e12fb39df42cfa

Observation 2e2a30f1-3820-4dd9-a693-1942c4f1cecb · outbound

This paper cites Randomized oversampling for generalized multiscale finite element methods.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Randomized oversampling for generalized multiscale finite element methods

Reference 56

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:15.999622Z digest=sha256:2db2dd7ab58121d543c54e181d547f56094a9368564b879b4c96664742b8fa0f

Observation a60fc950-917c-437c-be5f-f148b875fb5c · outbound

This paper cites Constraint energy minimizing generalized multiscale finite element method.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Constraint energy minimizing generalized multiscale finite element method

Reference 57

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:16.108400Z digest=sha256:d0bc35938c977611f4cd82964ed76058c794620eed63252e2a43ca3e004af5f5

Observation 083dc5a0-9fe6-4b5e-807d-3182e7da6dd6 · outbound

This paper cites Generalized multiscale finite element method.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Generalized multiscale finite element method

Reference 58

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:16.156847Z digest=sha256:88ef058e4bec5c40171cdd096bcc7742c25999b05c1fa7f31bb0ec33af4cd30b

Observation f8f695a4-c9ca-4e01-8141-5cec1c4df2cc · outbound

This paper cites Constraint energy minimizing generalized multiscale discontinuous galerkin method.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Constraint energy minimizing generalized multiscale discontinuous galerkin method

Reference 59

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T13:04:16.261637Z digest=sha256:8078b9dc68c2378e1434368ee40127cbe46ffb4568c74d71a091611255f0ecc7

Observation b5c6dc2c-b1e6-46f8-a53f-2e4644ee6bd8 · outbound

This paper cites Im- plicit neural representations with periodic activation functions.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Im- plicit neural representations with periodic activation functions

Reference 60

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:04:16.344001Z digest=sha256:2c23fecc0c28b085acc7f549fa7f4cb071ec880c4a65cb0d6b803235d5b9d55e

Observation 03ab83e5-d6f4-46ed-ba01-f4f5dcaf8214 · outbound

This paper cites DeBERTa: Decoding-enhanced BERT with Disentangled Attention.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor DeBERTa: Decoding-enhanced BERT with Disentangled Attention

Reference 61

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source=pdf_text observed=2026-08-07T13:04:16.419765Z digest=sha256:857bc174ebf16ab4841dd700385ea84de503274f3057798ed91d280b969eea1d

Observation 6c346396-2310-4e2b-ad00-448425fe9148 · outbound

This paper cites Smirk: An atomi- cally complete tokenizer for molecular foundation models.

Defining Foundation Models for Computational Science: A Call for Clarity and Rigor Smirk: An atomi- cally complete tokenizer for molecular foundation models

Reference 62

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source=pdf_text observed=2026-08-07T13:04:16.498209Z digest=sha256:64f2b56c177b1a23ad247ed3fa2700a01a09cc9bf57ef62a6ba76b7056da215c

Pith citing papers

Observation ae96ad7c-d16f-430c-89d4-5020dfd1a348 · inbound

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Generative Latent Space Dynamics of Electron Density Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 62

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source=pdf_text observed=2026-08-05T14:00:11.843976Z digest=sha256:cd3480fb08c48bf4da8bb623ef4497ffd775435d4b4ba1ccb355608cc8353ff4

Observation 19c4676d-87bc-4e59-b9e7-87e66ca9e62b · inbound

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Model Order Reduction for Quantum Molecular Dynamics Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 16

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source=pdf_text observed=2026-08-04T22:27:43.617172Z digest=sha256:70d01e26f5bd14ba42691f59bb0967e7acba771627ba58b1abf8d9376e478a60

Observation 7c2e5102-b40e-4fdf-8a6e-e459a70af728 · inbound

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Hybrid coupling with operator inference and the overlapping Schwarz alternating method Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 7

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Observation 184a1889-4bdf-4d67-a45e-551c991f3852 · inbound

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ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 4

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f618b8c2-42cf-4830-a35b-1cc4eba7388b · inbound

ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms cites this paper.

ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 4

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T18:51:30.869886Z digest=sha256:020deca96a90285a80f8b119f41fa117b1a46616ea9c6d460dfe467da94a6d42

Observation 32ba62c7-e6f3-49cc-80f6-71196f2230ce · inbound

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Structure-Preserving Learning Improves Geometry Generalization in Neural PDEs Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 2021

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation f2e1b2c9-e5dc-4196-a7fc-f3065cd67135 · inbound

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Reference 11

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T08:07:24.246646Z digest=sha256:70d8cb64a581ff1dccf7ea90989b59477e77c1480f3363706871e1dae825b33c

Observation d887263e-a0d3-4df2-94fc-9f8253bacaee · inbound

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Challenges and opportunities for AI to help deliver fusion energy Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-15T00:39:46.244035Z digest=sha256:f151a86f51d7e3b07100ab9e27b311499d5879a4634297a0b7d113f5d249cd28

Observation 91466c6a-badc-470f-a9d6-788f8ee9af9f · inbound

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Reference 17

Resolution
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arxiv_id, observed 2026-05-11T05:36:04.744326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T18:01:54.399709Z digest=sha256:b7b0884aab8a67c4a6ee0f1e164ada90a11077a014d0091b99412f2df8154335

Observation 45c25c80-3e7a-4b95-bf30-85dcf5df0e0f · inbound

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Reference 61

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arxiv_id, observed 2026-05-10T09:28:38.365775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T09:27:41.113770Z digest=sha256:d615f9c62a52c8f74cfcce0b05f8e3e276e8e536a92cf6a698aec71972fc5d98

Observation 02307b76-e62f-4e90-90fc-6cabbaf3b415 · inbound

A Hybridizable Neural Time Integrator for Stable Autoregressive Forecasting cites this paper.

A Hybridizable Neural Time Integrator for Stable Autoregressive Forecasting Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-10T00:14:46.509041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T00:12:58.131638Z digest=sha256:573c1bfa356a148b5e32f42bb2fcf40d41d4655ce74d02787aa79962e39dcac4

Observation 0dee7b1d-c4eb-4dee-9862-1a15fbde1f31 · inbound

Replay-Based Continual Learning for Physics-Informed Neural Operators cites this paper.

Replay-Based Continual Learning for Physics-Informed Neural Operators Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-11T17:41:05.477300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-08T17:22:32.572495Z digest=sha256:bbb8cb02f41bc50a2906bb887a7281638d349316da5dfa377c78dbff7b4007fb

Observation dfa17a79-1eb5-4aff-ac76-25b095b6643d · inbound

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models cites this paper.

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 71

Resolution
verified exact
arxiv_id, observed 2026-07-03T00:47:30.234347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T17:03:15.379147Z digest=sha256:1fecbe863fb974f65573d4487c429f6a8a255c8c0c21d9eab7242e27e22ae5d3

Observation b72fdf33-aaa9-4945-a4e1-f3101089c983 · inbound

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models cites this paper.

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-02T12:05:40.715047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:05:40.715047Z digest=sha256:28b4edd4b0e458d5834899cfb51916c32e5c00acd9681e40d0e9f7f84eb68eef

Observation 3fb66b9d-6fad-44af-af32-fe65c526406d · inbound

Landsat-Sentinel-2 Algal Bloom Mapping Using Vision Transformers: Model Description, Implementation, and Examples cites this paper.

Landsat-Sentinel-2 Algal Bloom Mapping Using Vision Transformers: Model Description, Implementation, and Examples Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T17:38:44.333750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-27T03:54:22.129693Z digest=sha256:b42f882bc3bffc91c21630aa5e6d54eef112918c0507e2e38994316c31451971

Observation bc85fb41-3a8d-4aa2-bb5b-958c0cc0d3bf · inbound

Advances in Scientific Machine Learning for Coupled Fluid Flow and Transport cites this paper.

Advances in Scientific Machine Learning for Coupled Fluid Flow and Transport Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 20

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T00:49:19.500148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T20:53:12.423193Z digest=sha256:9b3faf13d3b31fab84121ea4479acf35b0ec7b1c00e7d22b6b6f158ba58b57b3

Observation 9ef4bfa2-03f0-4310-af55-aa8db5e9c882 · inbound

Robust and Explainable 3D Mode Shape Recognition Using Region-Aware Graph Neural Networks cites this paper.

Robust and Explainable 3D Mode Shape Recognition Using Region-Aware Graph Neural Networks Defining Foundation Models for Computational Science: A Call for Clarity and Rigor

Reference 21

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T19:08:49.318547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-07-03T19:06:22.154981Z digest=sha256:324e26d854236a2335c8a74a3eecf92a25b8b98d08f498508bf310ff33161eec