Pith. sign in

Paper Citation Record · LEDGER

Unsupervised Adaptation of PDE Foundation Models

As of 13 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2608.07053.

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

pith.paper-citation-record.v1
2608.07053 v1

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:41:11.622295Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

60 of 60 outbound references displayed

  • verified exact3
  • verified fuzzy20
  • unresolved36
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f9f5c58b-cba0-40ed-9a50-c1de24d8c675 · outbound

This paper cites One-shot transfer learning for nonlinear pdes with perturbative pinns.arXiv preprint arXiv:2511.11137, 2025.

Unsupervised Adaptation of PDE Foundation Models One-shot transfer learning for nonlinear pdes with perturbative pinns.arXiv preprint arXiv:2511.11137, 2025

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.403340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.403340Z digest=sha256:d583c6419dbb58c73ee64bc690389bbdc131d6b20ce16e7befb9fadb6ae24940

Observation 054a182f-c88f-4743-bcaa-af80fd1e6d8f · outbound

This paper cites A table of solutions of the one-dimensional burgers equation.Quarterly of Applied Mathematics, 30(2):195–212, 1972.

Unsupervised Adaptation of PDE Foundation Models A table of solutions of the one-dimensional burgers equation.Quarterly of Applied Mathematics, 30(2):195–212, 1972

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.785956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.407768Z digest=sha256:a51f5d372f022ca6ffde8524c2a1b709727e8794d6b85d7ed6150d6f5a441326

Observation d4d975af-dd37-4140-b6b3-5cf30dd2a1f5 · outbound

This paper cites Hypino: Multi-physics neural operators via hyperpinns and the method of manufactured solu- tions.arXiv preprint arXiv:2509.05117, 2025.

Unsupervised Adaptation of PDE Foundation Models Hypino: Multi-physics neural operators via hyperpinns and the method of manufactured solu- tions.arXiv preprint arXiv:2509.05117, 2025

Reference 3

Resolution
verified exact
raw_fallback, observed 2026-08-10T15:41:12.392740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.411699Z digest=sha256:9b33db37a99e5e30fbc163e70ae1f97d9a6704a8dcb40638d2e68d5df25b1406

Observation 29689080-43d6-467c-a63a-4c47a6e7a680 · outbound

This paper cites an unresolved cited work.

Unsupervised Adaptation of PDE Foundation Models Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-10T15:41:12.774739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.415966Z digest=sha256:6c843a1a53d2cae1f8a4aba89a67985750abb71b0974106742e3ef3ad958105e

Observation 008e72c1-7785-4409-bb45-07acf921bbcf · outbound

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

Unsupervised Adaptation of PDE Foundation Models Language models are few-shot learners.Advances in neural information processing systems, 33:1877–1901, 2020

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.419796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.419796Z digest=sha256:2bb59b66f6600b81c8e33358d660f098a8a1b7093be2ab442fd1656f816bd263

Observation 228efd8e-1854-40d3-91c4-37031d928d2b · outbound

This paper cites OLoRA: Orthonormal Low-Rank Adaptation of Large Language Models.

Unsupervised Adaptation of PDE Foundation Models OLoRA: Orthonormal Low-Rank Adaptation of Large Language Models

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.423934Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.423934Z digest=sha256:71bdf448a4e4a00abe52a9e98c4f7f9a4a28861003e1e6c2367ee17007c68900

Observation 22e877a0-20d7-4536-be4c-55b3cb63b2db · outbound

This paper cites Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems.IEEE Trans.

Unsupervised Adaptation of PDE Foundation Models Universal approximation to nonlinear operators by neural networks with arbitrary activation functions and its application to dynamical systems.IEEE Trans

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.428373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.428373Z digest=sha256:24c950bb7582468f027efb19632c8b07770f6a190c3deee814da42b0fcd85b77

Observation 0084048c-a055-4e76-bf12-f7c95e953555 · outbound

This paper cites OmniArch: Building Foundation Model For Scientific Computing.

Unsupervised Adaptation of PDE Foundation Models OmniArch: Building Foundation Model For Scientific Computing

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.432996Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.432996Z digest=sha256:0ee80e2e7f53dcd7b4ff2604ed0434120385ea12786d614d3ee9ffe0bb1bcbb1

Observation f4e0178f-e5c4-469d-a313-58fbcc18de17 · outbound

This paper cites Can-pinn: A fast physics-informed neural network based on coupled-automatic–numerical differentiation method.Computer Methods in Applied Mechanics and Engineering, 395:114909, 2022.

Unsupervised Adaptation of PDE Foundation Models Can-pinn: A fast physics-informed neural network based on coupled-automatic–numerical differentiation method.Computer Methods in Applied Mechanics and Engineering, 395:114909, 2022

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.757074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.436910Z digest=sha256:5032a306993eb4d36b185ca59a888ae09309986ce92e5df6f0b8905afdf60793

Observation 355ed45d-989a-4db7-aa7c-92a8803c1bed · outbound

This paper cites On a quasi-linear parabolic equation occurring in aerodynamics.Quarterly of applied mathematics, 9(3):225–236, 1951.

Unsupervised Adaptation of PDE Foundation Models On a quasi-linear parabolic equation occurring in aerodynamics.Quarterly of applied mathematics, 9(3):225–236, 1951

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.746620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.440476Z digest=sha256:495b02c7c8ea7f8e5ecd9f6d9e34e5411a4bb2a767bbefffef92fc1075ce4ded

Observation 876234f3-8224-41b8-9647-4c6d662edf68 · outbound

This paper cites Bert: Pre-training of deep bidirectional transformers for language understanding.

Unsupervised Adaptation of PDE Foundation Models Bert: Pre-training of deep bidirectional transformers for language understanding

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.444567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.444567Z digest=sha256:221cc2d6cbcab03791de38ed3dbfaac8c61a96c3124e538d70c5fa38d1386a2e

Observation 6bbb08ca-afc0-4d0c-8ef4-c88e1bb74f6c · outbound

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

Unsupervised Adaptation of PDE Foundation Models An image is worth 16x16 words: Transformers for image recognition at scale

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.447915Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.447915Z digest=sha256:ad926c205d327ec3725493ac52ad12a52998db5353f659a687bae2a51308bca5

Observation 7f8032c8-be9d-444a-8627-17d0b3526370 · outbound

This paper cites Evans.Partial differential equations, volume 19 ofGrad.

Unsupervised Adaptation of PDE Foundation Models Evans.Partial differential equations, volume 19 ofGrad

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.722433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.451226Z digest=sha256:78ba2868121d99071786e2162c8f9b6df35aab1120d16ed356c699c0a3893ea6

Observation 87378065-af29-470c-9b6c-7921f1c49bff · outbound

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

Unsupervised Adaptation of PDE Foundation Models Towards Multi-spatiotemporal-scale Generalized PDE Modeling

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.454691Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.454691Z digest=sha256:68055e692ca5b856f120776ddf4d83ee3e9aa1192d669aba87fbc7a8875a708f

Observation 48575b25-c530-4abc-944e-eaeae3d16d01 · outbound

This paper cites DPOT: auto-regressive denoising operator transformer for large-scale PDE pre-training.

Unsupervised Adaptation of PDE Foundation Models DPOT: auto-regressive denoising operator transformer for large-scale PDE pre-training

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.710772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.458993Z digest=sha256:f9987b612450f1ba0235648e88c429460455a5930948b513f9a66fcef82cc540

Observation dd4a243c-c875-4877-b4f8-926a8bafd932 · outbound

This paper cites Neighborhood attention transformer.

Unsupervised Adaptation of PDE Foundation Models Neighborhood attention transformer

Reference 16

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-10T15:41:12.289886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.462493Z digest=sha256:b12cf6351f40004fe935a53a03c2aeefd7201fbf5963530a6ca8485ceab7ed13

Observation 211ffb5f-af78-45c5-b4f0-22eb1e90a79f · outbound

This paper cites Poseidon: Efficient founda- tion models for pdes.

Unsupervised Adaptation of PDE Foundation Models Poseidon: Efficient founda- tion models for pdes

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.699928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.465881Z digest=sha256:86244dc9f95977a76c484be2ee4ca820402a786269f2c425a3797ebe011514fe

Observation 60eec8d7-f3be-4010-a289-e7f16dd3f58f · outbound

This paper cites Holzschuh, Qiang Liu, Georg Kohl, and Nils Thuerey.

Unsupervised Adaptation of PDE Foundation Models Holzschuh, Qiang Liu, Georg Kohl, and Nils Thuerey

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.689009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.469249Z digest=sha256:bec154909547734b73f168c6e4d65db6e6206d6f56fbffa5633984ae6186ed0c

Observation 2ccf1239-3fb0-4dfe-828d-14260484c6ba · outbound

This paper cites The partial differential equation ut +uu x =µu xx.Communications on Pure and Applied Mathematics, 3(3):201–230, 1950.

Unsupervised Adaptation of PDE Foundation Models The partial differential equation ut +uu x =µu xx.Communications on Pure and Applied Mathematics, 3(3):201–230, 1950

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.472973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.472973Z digest=sha256:9e24abeb5a93d935488e905d24569ddea92b7f523be36d7b9817e4dfeb0e75fa

Observation 2a561bcd-32c9-425e-b930-94a926aa4b7c · outbound

This paper cites Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen.

Unsupervised Adaptation of PDE Foundation Models Hu, Yelong Shen, Phillip Wallis, Zeyuan Allen-Zhu, Yuanzhi Li, Shean Wang, Lu Wang, and Weizhu Chen

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.476430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.476430Z digest=sha256:db8957eb2edeafafd2a5cbaa586f9ba522eca5bc0cd6ace34030404504cd6a6f

Observation 88d88317-3a2c-4099-82c7-5bf17511193e · outbound

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

Unsupervised Adaptation of PDE Foundation Models Muon: An optimizer for hidden layers in neural networks, 2024

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.483216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.483216Z digest=sha256:b774a10d15f918e049a4a3dcc1030b2b9b01db6c2c454abd42f5d6e69665a8f4

Observation c0edaffa-009d-4755-b616-aa353dc4c4d5 · outbound

This paper cites Uniform spec- tral growth and convergence of muon in lora-style matrix factorization.arXiv preprint arXiv:2602.06385, 2026.

Unsupervised Adaptation of PDE Foundation Models Uniform spec- tral growth and convergence of muon in lora-style matrix factorization.arXiv preprint arXiv:2602.06385, 2026

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.486539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.486539Z digest=sha256:919dc19933cdf4dd47d1441f01485304f68f6c84dfc06c131643f0b021ae6573

Observation 48d1594b-f558-4c2b-a173-cca869e829e4 · outbound

This paper cites Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang.

Unsupervised Adaptation of PDE Foundation Models Kevrekidis, Lu Lu, Paris Perdikaris, Sifan Wang, and Liu Yang

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.489805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.489805Z digest=sha256:beb5994fad53056965d84412ec7cf4af5d9905b94870fc1a7fe188bd85ad11c8

Observation d09da347-c4b0-4286-8484-ebf31307cd36 · outbound

This paper cites Apebench: A benchmark for autoregressive neural emulators of pdes.

Unsupervised Adaptation of PDE Foundation Models Apebench: A benchmark for autoregressive neural emulators of pdes

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.651730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.492763Z digest=sha256:27573595d748b28a9d1a82d7622674b7edb4fc4eeea7c42c3b3a71d2421a3f01

Observation 8bccf7a7-027d-4bdf-a048-42478e38b5ae · outbound

This paper cites Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs.

Unsupervised Adaptation of PDE Foundation Models Multi-Grid Tensorized Fourier Neural Operator for High-Resolution PDEs

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.495798Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.495798Z digest=sha256:3a531c22150fde251923d0e5ab2bdfc5d505846ac2a6b75e0581190108cefac5

Observation 56737f3c-09a3-47cb-acf3-345e2c86706b · outbound

This paper cites Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M.

Unsupervised Adaptation of PDE Foundation Models Kovachki, Zongyi Li, Burigede Liu, Kamyar Azizzadenesheli, Kaushik Bhattacharya, Andrew M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.640847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.499762Z digest=sha256:8444ba754a88ac03e44c3d0583739ef3636eeeb5d12a5f3562f43adf59c6cc34

Observation ee9baa7e-f92e-43ab-8e8f-a500d8cb0818 · outbound

This paper cites LeVeque.Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems.

Unsupervised Adaptation of PDE Foundation Models LeVeque.Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-State and Time-Dependent Problems

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.630146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.502936Z digest=sha256:98edd515d4544f88a7d9789a0cfbd553c9211a8b4fd8f0aa42528994f017ffea

Observation ef000df0-f9c3-4443-bf19-d81607c95dc4 · outbound

This paper cites Stuart, and Anima Anandkumar.

Unsupervised Adaptation of PDE Foundation Models Stuart, and Anima Anandkumar

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.619460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.506293Z digest=sha256:fa1614b534faf34a893873ed99cbe6ba35aca47dfc495d32cd4b27786538dbb9

Observation 93f85bf0-a874-4089-9d1e-1d84bf46fb0c · outbound

This paper cites Fourier neural operator with learned deformations for pdes on general geometries.Journal of Machine Learning Research, 24(388):1–26, 2023.

Unsupervised Adaptation of PDE Foundation Models Fourier neural operator with learned deformations for pdes on general geometries.Journal of Machine Learning Research, 24(388):1–26, 2023

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.509804Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.509804Z digest=sha256:628154cc999b2b4a489667ee65de9e02b243ba6e0366e037f9345f966e153739

Observation 3e20bee4-591c-4841-8492-4b9702df231b · outbound

This paper cites Physics-informed neural operator for learning partial differential equations.ACM/IMS Journal of Data Science, 1(3):1–27, 2024.

Unsupervised Adaptation of PDE Foundation Models Physics-informed neural operator for learning partial differential equations.ACM/IMS Journal of Data Science, 1(3):1–27, 2024

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.513090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.513090Z digest=sha256:1bd198f85b2e9412720a7de840b24c905f195f24f7a9ae80c19ec2f27f86bfba

Observation f03e8c87-2926-486c-a874-ce1ee6438198 · outbound

This paper cites A convnet for the 2020s.

Unsupervised Adaptation of PDE Foundation Models A convnet for the 2020s

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.516396Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.516396Z digest=sha256:0bb4e4f75b0a5f00ef8752a7a8f3ae6f97e66e622b601f7b9742fbbd022e79ef

Observation d226f9d6-9a0c-4aa1-9ce8-4bb0b8a11ace · outbound

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

Unsupervised Adaptation of PDE Foundation Models Learning nonlinear operators via deeponet based on the universal approximation theorem of operators

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.519978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.519978Z digest=sha256:22c282c8b126725bc8d1beef27b296fe3e29d2392d9b38f78a7aa53f37e2b84c

Observation 4326d286-7448-4417-b141-0d54ec23bdf6 · outbound

This paper cites Cranmer, Alberto Bietti, Michael Eickenberg, Siavash Golkar, Géraud Krawezik, François Lanusse, Mariel Pettee, Tiberiu Tesileanu, Kyunghyun Cho, and Shirley Ho.

Unsupervised Adaptation of PDE Foundation Models Cranmer, Alberto Bietti, Michael Eickenberg, Siavash Golkar, Géraud Krawezik, François Lanusse, Mariel Pettee, Tiberiu Tesileanu, Kyunghyun Cho, and Shirley Ho

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.589761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.523792Z digest=sha256:90f19a724b862407c90eb684ec3972951b915cf84e16ed0d441a85cc0317f827

Observation c21f3197-dfa2-4b28-b7aa-18d32c8f7428 · outbound

This paper cites PhysiX: A Foundation Model for Physics Simulations.

Unsupervised Adaptation of PDE Foundation Models PhysiX: A Foundation Model for Physics Simulations

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.527694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.527694Z digest=sha256:2bf35ebcaac09dda40e40ce63414c7ecd3ac27b6ff4f12625b29cde14b0226f2

Observation 28574b0b-cad5-4547-8c1e-942e8c05a6e6 · outbound

This paper cites The well: a large-scale collection of diverse physics simulations for machine learning.Advances in Neural Information Processing Systems, 37:44989–45037, 2024.

Unsupervised Adaptation of PDE Foundation Models The well: a large-scale collection of diverse physics simulations for machine learning.Advances in Neural Information Processing Systems, 37:44989–45037, 2024

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.531718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.531718Z digest=sha256:41699d4558425425236f363ab6652a9a2b7e0e2fc2c5f8cf9be0be29337dd5c0

Observation 58737e92-604a-4c1a-b700-f087d5e9237c · outbound

This paper cites Karniadakis.

Unsupervised Adaptation of PDE Foundation Models Karniadakis

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.535432Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.535432Z digest=sha256:878ba9e5bef2ea02bbc80b25143035c1bbbfed74793cb59db01d80a9fdecb79d

Observation c5f693d4-3ce5-4c2c-91d0-a4ce86d67c38 · outbound

This paper cites Convolutional neural operators for robust and accurate learning of PDEs.

Unsupervised Adaptation of PDE Foundation Models Convolutional neural operators for robust and accurate learning of PDEs

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.573080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.540051Z digest=sha256:811bcf3c3e0195486d1a4d790c7744dd6966ebaf4f77c3076482b4b139a9b295

Observation 37abe6ac-55cb-4781-b0fe-509757836a37 · outbound

This paper cites Morph: Pde foundation models with arbitrary data modality.arXiv preprint arXiv:2509.21670, 2025.

Unsupervised Adaptation of PDE Foundation Models Morph: Pde foundation models with arbitrary data modality.arXiv preprint arXiv:2509.21670, 2025

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.543938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.543938Z digest=sha256:a710fbcc9ab27ae2f733248575ab8b38ed0e1210ec042104dd8e4e559c9cc7c6

Observation c08a3cd0-c18f-451a-b4ea-024139acbdb3 · outbound

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

Unsupervised Adaptation of PDE Foundation Models U-net: Convolutional networks for biomedical image segmentation

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.547786Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.547786Z digest=sha256:74dbe6680a4462df45162c40c715284b899fe2b52db9c3458e20eedd79633886

Observation 0d9c9b56-4387-4b3e-9d3d-235218333ad7 · outbound

This paper cites Test-time gen- eralization for physics through neural operator splitting.arXiv preprint arXiv:2602.00884, 2026.

Unsupervised Adaptation of PDE Foundation Models Test-time gen- eralization for physics through neural operator splitting.arXiv preprint arXiv:2602.00884, 2026

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.551909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.551909Z digest=sha256:df0e4f2d000babc419e348a97927a84d593a0b863cc6493ae26a49783459395a

Observation 86173532-bd1d-45e9-bd76-5b3254a4b138 · outbound

This paper cites GLU Variants Improve Transformer.

Unsupervised Adaptation of PDE Foundation Models GLU Variants Improve Transformer

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.555597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.555597Z digest=sha256:487d257c71240223279eb6d9ca6c228df7f6f19ddfbf89c051a13aaf048af70b

Observation 090144e5-d89c-4145-bbac-046d2f312e01 · outbound

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

Unsupervised Adaptation of PDE Foundation Models LeMON: Learning to Learn Multi-Operator Networks

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.560107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.560107Z digest=sha256:784a0fccb262af30c57d9b803498ca552420cf126b16b77b934317068d10b68a

Observation 0175ab15-4375-413a-ace1-49f2baceead0 · outbound

This paper cites Pdebench: An extensive benchmark for scientific machine learning.

Unsupervised Adaptation of PDE Foundation Models Pdebench: An extensive benchmark for scientific machine learning

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.556985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.564239Z digest=sha256:34705cbfbfd9d482e436291d2e29e34c2e5965b0f4e3fb5cd2f3978387ee1489

Observation 6e16f053-28b3-4549-97fd-1d565089be52 · outbound

This paper cites Mechanism of the production of small eddies from large ones.Proceedings of the Royal Society of London.

Unsupervised Adaptation of PDE Foundation Models Mechanism of the production of small eddies from large ones.Proceedings of the Royal Society of London

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.568076Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.568076Z digest=sha256:0bcbccdedf9984e5dddf75865fbc8a17819473b792a07980af36cceb3b1ddee8

Observation 533230cc-7054-43a7-9df6-50a0e840c633 · outbound

This paper cites Factorized Fourier Neural Operators.

Unsupervised Adaptation of PDE Foundation Models Factorized Fourier Neural Operators

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.571942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.571942Z digest=sha256:ca11ff728ed191831486792e2027333f4d6f255056e0909d658d467702f24f07

Observation 780b51a8-5b6e-48d2-9a58-414c574fde8f · outbound

This paper cites Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets.

Unsupervised Adaptation of PDE Foundation Models Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.575982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.575982Z digest=sha256:3b8e5c2130ba52c27aa1ad079aff8a5f735384ae8981ee5ca2c71871351be0db

Observation 73460f66-a39b-4ea9-9578-6883b5e14cc7 · outbound

This paper cites Respecting causality is all you need for training physics-informed neural networks.

Unsupervised Adaptation of PDE Foundation Models Respecting causality is all you need for training physics-informed neural networks

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.580063Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.580063Z digest=sha256:b3d6c7cbe0acda1261f2a9361eceaa2de8befd4a1805d4d60fb6e3052d58055a

Observation c1cd3d4f-5620-4f8c-975e-5ca48f4db6cb · outbound

This paper cites When and why pinns fail to train: A neural tangent kernel perspective.J.

Unsupervised Adaptation of PDE Foundation Models When and why pinns fail to train: A neural tangent kernel perspective.J

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.584064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.584064Z digest=sha256:feb9b2985515a3e48c4105e048ba0d9a68a342b97fcc8faf38879d53f0243bca

Observation 5603482c-4e02-49d9-9bea-dc25d9dcf156 · outbound

This paper cites Gradient alignment in physics-informed neural networks: A second-order optimization perspective.

Unsupervised Adaptation of PDE Foundation Models Gradient alignment in physics-informed neural networks: A second-order optimization perspective

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.540532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.587806Z digest=sha256:4009d1ebc72f8de8ec96bfd0ee88cd3d644daf2281e0da5b637b81db58526777

Observation eba76cf4-8214-4b9d-bc3f-4a843cd18ebb · outbound

This paper cites Orthogonal subspace learning for language model continual learning.

Unsupervised Adaptation of PDE Foundation Models Orthogonal subspace learning for language model continual learning

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.591879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.591879Z digest=sha256:148b7e20ffd3bdeb223de230f3d026ec0a33a6f75dddd2ba2710a89f6866e6e4

Observation 89998280-e55f-4025-88e0-e6492ab9ec9f · outbound

This paper cites Orthogeolora: Geometric parameter-efficient fine-tuning for structured social science concept retrieval on theweb.arXiv preprint arXiv:2601.09185, 2026.

Unsupervised Adaptation of PDE Foundation Models Orthogeolora: Geometric parameter-efficient fine-tuning for structured social science concept retrieval on theweb.arXiv preprint arXiv:2601.09185, 2026

Reference 51

Resolution
verified exact
raw_fallback, observed 2026-08-10T15:41:11.911176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.595353Z digest=sha256:dde6c0e9e746f89ea8f44fc74fe10ee5fd5219f48f554cd5994cd942c257e852

Observation 1eb6d308-e42c-42a6-9bb0-ce6f06c51ace · outbound

This paper cites Evolutionary neural architecture search for physics-informed neural networks with variable-length designs.IEEE Transactions on Evolutionary Computation, pages 1–1, 2026.

Unsupervised Adaptation of PDE Foundation Models Evolutionary neural architecture search for physics-informed neural networks with variable-length designs.IEEE Transactions on Evolutionary Computation, pages 1–1, 2026

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.522886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.598875Z digest=sha256:beb688a28628baf598d7a9669e3cbe61507c1798cc83714cb4fea766b625b79a

Observation 5753a787-e925-4110-8d88-894cc226102e · outbound

This paper cites Out-of-distribution generalization for neural physics solvers.arXiv preprint arXiv:2601.19091, 2026.

Unsupervised Adaptation of PDE Foundation Models Out-of-distribution generalization for neural physics solvers.arXiv preprint arXiv:2601.19091, 2026

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.602580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.602580Z digest=sha256:6e739f918e7f9de0eb6ca80ab93ba2b82f2bcd47027ad7a2ec0194232c296698

Observation cc694545-04fb-4ea2-b7f1-5400db081394 · outbound

This paper cites Geometry aware operator transformer as an efficient and accurate neural surrogate for PDEs on arbitrary domains.

Unsupervised Adaptation of PDE Foundation Models Geometry aware operator transformer as an efficient and accurate neural surrogate for PDEs on arbitrary domains

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.512021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.606039Z digest=sha256:a21455f0eddf4039bcb97178bd3962a686beebaffa5c026cc49f197c0b273dae

Observation a47ec9d9-4955-41e8-ac69-0acf710f343a · outbound

This paper cites Transolver: A fast transformer solver for pdes on general geometries.

Unsupervised Adaptation of PDE Foundation Models Transolver: A fast transformer solver for pdes on general geometries

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.500392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.609065Z digest=sha256:99b71dde6f5b0b1c011af1f643c9336448c15328092924265e386335ee8b9b4e

Observation b2b135aa-d949-4b61-9213-06d65cf46d99 · outbound

This paper cites Oplora: Orthogonal projection lora prevents catastrophic forgetting during parameter-efficient fine-tuning.

Unsupervised Adaptation of PDE Foundation Models Oplora: Orthogonal projection lora prevents catastrophic forgetting during parameter-efficient fine-tuning

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.612433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.612433Z digest=sha256:ac696fcf9188e09ab52d25f4e6ec75cd3d44c8d3b77acc1ca26b07a74e0ce8e8

Observation 81145e23-2e90-4b12-9058-07803e7751fa · outbound

This paper cites Root mean square layer normalization.

Unsupervised Adaptation of PDE Foundation Models Root mean square layer normalization

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.482596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.615452Z digest=sha256:e58a7eec7c34de3eef5173d00ad64a4d52571624b7f96bec9ec589ae019e9b98

Observation b85c55ae-183b-4cf3-b6ad-67effc627a48 · outbound

This paper cites Physics-informed temporal alignment for auto-regressive PDE foundation models.

Unsupervised Adaptation of PDE Foundation Models Physics-informed temporal alignment for auto-regressive PDE foundation models

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T15:41:12.469648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T15:41:11.619047Z digest=sha256:2315a7bb5f415015854df3a020b18a5a7ae0c0b840ed5a7c37c4403b1cf8c63c

Observation b6149cdb-f527-43c3-8d78-fafad3cec03e · outbound

This paper cites Width” denotes hidden_channels for FNO and TFNO and init_features for the two U-Nets. “Depth.

Unsupervised Adaptation of PDE Foundation Models Width” denotes hidden_channels for FNO and TFNO and init_features for the two U-Nets. “Depth

Reference 59

Resolution
malformed identifier
no resolver link, observed 2026-08-10T15:41:11.622295Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.622295Z digest=sha256:8d296575e3e81af05ebaa035363f115680591fcba3c9f17d01a832e3a6087eb9

Observation 439202b6-1fc9-4a3c-8335-533cf2b9d602 · outbound

This paper cites URLhttps://openreview.net/forum?id=nZeVKeeFYf9.

Unsupervised Adaptation of PDE Foundation Models URLhttps://openreview.net/forum?id=nZeVKeeFYf9

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-10T15:41:11.479859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T15:41:11.479859Z digest=sha256:b969396b146296c224676937f5bb313f2ea4f3048639f8ff21fc44b04d8c88ab

Pith citing papers

No inbound Pith citation observations are available.