Paper Citation Record · LEDGER

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

As of 12 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 2026-08-12T06:34:41.77262+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

47 of 47 outbound references displayed

verified exact0
verified fuzzy9
unresolved37
parse uncertain0
malformed identifier0
metadata mismatch1

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:54:44.870096Z

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.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:54:44.853609Z

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.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.829473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.835279Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:54:44.825127Z

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.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.846338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.852117Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.857694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20cf711f-d13f-4faa-aaf8-c091326dd9b8 · 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 9

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.862906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.868361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbef4d59-94f1-4edd-b412-3ca1278020b0 · outbound

This paper cites 2008 , publisher=.

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

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.873781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.878448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.883519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0d8c64a-0bd0-4fb7-a205-8e6ef5060c3e · outbound

This paper cites ACM/IMS Journal of Data Science , volume=.

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

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.888940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 716398f7-94ee-4957-be48-3fee0937134a · 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 15

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.894200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.899269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f222322a-194c-4d18-a313-3c2242953be8 · 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 17

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.905381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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: verified fuzzy; raw_fallback, observed 2026-08-10T18:54:44.713252Z

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.

Observation 5c0700f2-3414-418a-a0fd-4900752be540 · 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 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:54:44.694323Z

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.

Observation 06cd808f-bead-4321-bc82-ac41d7ba0aa6 · 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 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:54:44.674625Z

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.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.924932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b1f52276-e37e-4a0c-be2c-6782353bf8df · 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 22

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.930189Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54ec8e9d-f8a6-4b28-a1c2-6e40f614f593 · outbound

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.935131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc1a7430-f0d6-4c68-ab58-fc8b23b5a1e0 · outbound

This paper cites an unresolved cited work.

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

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:54:44.632362Z

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.

Observation f2cee084-4346-42ee-81c9-9900908d2101 · 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 25

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.945582Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53518821-2f2c-451e-b964-b209ca560608 · 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 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:54:44.602828Z

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.

Observation e2292883-8f2b-4a8c-a093-499f422578cd · 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 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:54:44.583979Z

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.

Observation 0df3d562-3f9e-4954-9424-d7dd845661ad · outbound

This paper cites arXiv preprint arXiv:2602.12706 , year=.

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

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.961090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68c970dc-89f8-4219-b5a2-ee7c52eaae93 · 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 29

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.965882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6086524e-144d-4b53-9c3e-f777bc8f4ad0 · outbound

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

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

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.970580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86b035c5-905d-492c-b17e-853073af3f92 · 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 31

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.975479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5dcf40e2-a8ff-49d2-b35d-2489a0c9e122 · 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 32

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.980208Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5c789b6-344a-4eab-b7c8-c4ecc88b87d5 · outbound

This paper cites Improved Operator Learning by Orthogonal Attention.

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

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.985059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c4e8366-3ed6-4323-a884-b443502955d3 · outbound

This paper cites PeSANet: Physics-encoded Spectral Attention Network for Simulating PDE-Governed Complex Systems.

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

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:43.990959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7fc192fe-1e2a-4a9d-a023-d60e67ad818b · 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 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:54:44.532431Z

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.

Observation b3d58777-8cca-4bb2-9833-988886e75540 · outbound

This paper cites an unresolved cited work.

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

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:54:44.515959Z

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.

Observation 82cf2efe-237f-4104-856f-438364f9b3df · 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 37

Resolution: unresolved; no resolver link, observed 2026-08-10T18:54:44.005733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: metadata mismatch; 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 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.