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Paper Citation Record · LEDGER

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning

As of 11 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2608.06894.

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

pith.paper-citation-record.v1
2608.06894 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:54:44.059416Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

47 of 47 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4281094e-d63b-490d-9824-553b8a03be38 · outbound

This paper cites Advances in Computational Methods and Technologies in Aeronautics and Industry , pages=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in Computational Methods and Technologies in Aeronautics and Industry , pages=

Reference 1

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Source-reported events for the cited work

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Observation 12c09007-15f3-4d15-b334-c09e915095e3 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Computer Methods in Applied Mechanics and Engineering , volume=

Reference 2

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Source-reported events for the cited work

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Observation 1683e060-d2d7-4e88-bc76-0e09fd030992 · outbound

This paper cites National Science Open , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning National Science Open , volume=

Reference 3

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Observation 5366a87b-d78c-41ac-a817-cfe6b90653ef · outbound

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

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Fourier Neural Operator for Parametric Partial Differential Equations

Reference 4

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Source-reported events for the cited work

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Observation 9f85288e-1427-4060-b4e2-fbbcec66a180 · outbound

This paper cites International Conference on Machine Learning , pages=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning International Conference on Machine Learning , pages=

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 2b9503e4-1c96-4810-a253-5c1fd90228cc · outbound

This paper cites Journal of Machine Learning Research , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Journal of Machine Learning Research , volume=

Reference 6

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Unavailable: canonical work link unavailable.

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Observation 2b06b5a3-3705-421e-9a2d-72957cd27e0b · outbound

This paper cites Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Adaptive Fourier Neural Operators: Efficient Token Mixers for Transformers

Reference 7

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Observation 5f2390cc-cd58-4a2a-b0da-92b890077d18 · outbound

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

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 8

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Unavailable: canonical work link unavailable.

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This paper cites Advances in neural information processing systems , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in neural information processing systems , volume=

Reference 9

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Observation a2edb530-59c8-4264-a3ba-f23ee43c391c · outbound

This paper cites Neural computation , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Neural computation , volume=

Reference 10

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This paper cites 2008 , publisher=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning 2008 , publisher=

Reference 11

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Observation 81ed46c4-c619-405c-b1da-0ddd0729472a · outbound

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

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 12

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Source-reported events for the cited work

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Observation 854b6804-f715-47f7-a6fa-eb0021e6e24b · outbound

This paper cites Nature machine intelligence , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Nature machine intelligence , volume=

Reference 13

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning ACM/IMS Journal of Data Science , volume=

Reference 14

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Observation 716398f7-94ee-4957-be48-3fee0937134a · outbound

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Journal of Machine Learning Research , volume=

Reference 15

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Observation f0519ad3-2f9b-422a-a72d-841b559ad431 · outbound

This paper cites Factorized Fourier Neural Operators.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Factorized Fourier Neural Operators

Reference 16

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in Neural Information Processing Systems , volume=

Reference 17

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Observation 40e3ddf0-4b49-4da2-bda3-3ed55f9f4105 · outbound

This paper cites Advances in Neural Information Processing Systems , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in Neural Information Processing Systems , volume=

Reference 18

Resolution
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This paper cites International Conference on Machine Learning , pages=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning International Conference on Machine Learning , pages=

Reference 19

Resolution
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Observation 06cd808f-bead-4321-bc82-ac41d7ba0aa6 · outbound

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Proceedings of the AAAI Conference on Artificial Intelligence , volume=

Reference 20

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Observation 7b5ef300-1902-43d4-ae56-dfdb580bc5fb · outbound

This paper cites Simple yet Effective: Low-Rank Spatial Attention for Neural Operators.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Simple yet Effective: Low-Rank Spatial Attention for Neural Operators

Reference 21

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning International conference on machine learning , pages=

Reference 22

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This paper cites Advances in Water Resources , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in Water Resources , volume=

Reference 23

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Unresolved cited work

Reference 24

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in neural information processing systems , volume=

Reference 25

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Computer Methods in Applied Mechanics and Engineering , volume=

Reference 26

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Nature Machine Intelligence , volume=

Reference 27

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning arXiv preprint arXiv:2602.12706 , year=

Reference 28

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in neural information processing systems , volume=

Reference 29

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Transformer for Partial Differential Equations' Operator Learning

Reference 30

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning International conference on machine learning , pages=

Reference 31

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in Neural Information Processing Systems , volume=

Reference 32

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Improved Operator Learning by Orthogonal Attention

Reference 33

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems

Reference 34

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in Neural Information Processing Systems , volume=

Reference 35

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Reference 36

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From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in neural information processing systems , volume=

Reference 37

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Source-reported events for the cited work

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Observation fbcf3134-f653-46a0-9529-6d9a3c535bc5 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Computer Methods in Applied Mechanics and Engineering , volume=

Reference 38

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no resolver link, observed 2026-08-10T18:54:44.010958Z

Source-reported events for the cited work

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Observation e091a205-7a4c-4503-a232-95ad0ef0024b · outbound

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

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning DPOT: Auto-Regressive Denoising Operator Transformer for Large-Scale PDE Pre-Training

Reference 39

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no resolver link, observed 2026-08-10T18:54:44.016195Z

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Observation d5b2ce0c-75e8-44b9-ac9b-a51f9a72f69e · outbound

This paper cites Proceedings of the 2022 Conference of the north American chapter of the Association for Computational Linguistics: human language technologies , pages=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Proceedings of the 2022 Conference of the north American chapter of the Association for Computational Linguistics: human language technologies , pages=

Reference 40

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no resolver link, observed 2026-08-10T18:54:44.021615Z

Source-reported events for the cited work

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Observation a886debb-926e-4f03-a87b-6553662d652e · outbound

This paper cites Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Positional Knowledge is All You Need: Position-induced Transformer (PiT) for Operator Learning

Reference 41

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no resolver link, observed 2026-08-10T18:54:44.027293Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-10T18:54:44.027293Z digest=sha256:a3b1f326c7bbe8742513960e99e262d4b6a24fd629057070741e14f81fb2a02b

Observation 9d158504-3c9f-42ec-a0d3-fcde4f005709 · outbound

This paper cites Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Vectorized Conditional Neural Fields: A Framework for Solving Time-dependent Parametric Partial Differential Equations

Reference 42

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no resolver link, observed 2026-08-10T18:54:44.032738Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-10T18:54:44.032738Z digest=sha256:5e501b837b94ac85db56ec13417db1bd5441789358b00c2d2186f87baf81f1c7

Observation a27b77a8-c6ee-471e-80d8-5a5bbcfaad5e · outbound

This paper cites CViT: Continuous Vision Transformer for Operator Learning.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning CViT: Continuous Vision Transformer for Operator Learning

Reference 43

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no resolver link, observed 2026-08-10T18:54:44.037958Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-10T18:54:44.037958Z digest=sha256:d16de0a33ffbac8ea8d1c04250fc94269397423d287d9cc0853052e799e86148

Observation 68774233-b4d0-4059-843a-7e76260137ce · outbound

This paper cites Reformer: The Efficient Transformer.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Reformer: The Efficient Transformer

Reference 44

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no resolver link, observed 2026-08-10T18:54:44.043108Z

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Observation c20fae27-2fa9-47d0-859a-df9e77095b38 · outbound

This paper cites Advances in neural information processing systems , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Advances in neural information processing systems , volume=

Reference 45

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no resolver link, observed 2026-08-10T18:54:44.048424Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-10T18:54:44.048424Z digest=sha256:e8229eef6d4b1ae4e83f10f05363c76a2f7fed0b2f8636d37ea5d7a3fe099c3b

Observation 895ebca6-0d6d-43c0-8d9c-5637219c1865 · outbound

This paper cites Proceedings of the AAAI Conference on Artificial Intelligence , volume=.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Proceedings of the AAAI Conference on Artificial Intelligence , volume=

Reference 46

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no resolver link, observed 2026-08-10T18:54:44.054284Z

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source=arxiv_source observed=2026-08-10T18:54:44.054284Z digest=sha256:8d3c173d4eec41160cbc244c929a63a666c9daf27fbebeee79fde54a4a199d9c

Observation c1542182-872e-46b6-b1fc-a97b4312e519 · outbound

This paper cites Harnessing AI for Inverse Partial Differential Equation Problems: Past, Present, and Prospects.

From Points to Edges: Edge-Conditioned Spectral Operators for Physics-Sensitive PDE Learning Harnessing AI for Inverse Partial Differential Equation Problems: Past, Present, and Prospects

Reference 47

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local_arxiv, observed 2026-08-10T18:54:44.113390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-10T18:54:44.059416Z digest=sha256:5b2f42f60b171f008bb2881cf65122b4faa980503fc8de689bcdeab51344a85b

Pith citing papers

No inbound Pith citation observations are available.