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Paper Citation Record · LEDGER

Nonlocality and Nonlinearity Implies Universality in Operator Learning

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2304.13221.

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

pith.paper-citation-record.v1
2304.13221 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:54.740163Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T14:26:28.474944Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation e418bf8a-9cc3-4136-8bbf-aea85f64fd0f · inbound

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators cites this paper.

Learning High-dimensional Ionic Model Dynamics Using Fourier Neural Operators Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:54.740163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:54.740163Z digest=sha256:60fcbfb29664dc924293440ca9e7f7b76f2e7b8bf3c109bb221c23689e4db7f8

Observation cfe36226-36bd-4af7-a4f3-219c176919a1 · inbound

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning cites this paper.

Principled Approaches for Extending Neural Architectures to Function Spaces for Operator Learning Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-07T04:19:41.783966Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:19:41.783966Z digest=sha256:5f1fa8efc504e64fd490c9241ac5d62fe105e16dcc7e118b5f496dbe132fe363

Observation ec0f1f3c-4df4-44d4-b861-416852c55aad · inbound

A Learning-based Domain Decomposition Method cites this paper.

A Learning-based Domain Decomposition Method Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-06T14:57:35.054779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:57:35.054779Z digest=sha256:69ae1a81c10bb2d557f011e90ebc9fbf04f5e795e69922a4b80e2ff2a90508a0

Observation 9b495817-711c-4bf2-9bfa-ab58d763f14a · inbound

Diffeomorphic Neural Operator Learning cites this paper.

Diffeomorphic Neural Operator Learning Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-05T22:39:54.752896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T22:39:54.752896Z digest=sha256:06ebac274e4cc6ce193b18c607879c8f030cad421f9fa8856f0ec3d8356be445

Observation e3520437-ee54-4cc4-9f0e-3c38c9aacb1c · inbound

Geometric Autoencoder Priors for Bayesian Inversion: Learn First Observe Later cites this paper.

Geometric Autoencoder Priors for Bayesian Inversion: Learn First Observe Later Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-18T14:26:28.477935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T14:23:52.624996Z digest=sha256:284f9229f9a64e1d4077fe1e9007e31692acf06a77798560be1d13bfc25c53cc

Observation 3be71041-7808-4888-81dd-39a1125b551b · inbound

Bulk-boundary decomposition of neural networks cites this paper.

Bulk-boundary decomposition of neural networks Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-04T00:22:01.028593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T00:22:01.028593Z digest=sha256:be6bb8da09e4cfcf8e1ac346198ab642b30d8d11a1c323887dd0c695ad0dc0c7

Observation 20af79d0-36a3-4f23-941a-2cacfdcbbda2 · inbound

Adaptive Physics Transformer with Fused Global-Local Attention for Subsurface Energy Systems cites this paper.

Adaptive Physics Transformer with Fused Global-Local Attention for Subsurface Energy Systems Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T01:14:10.461303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T01:14:10.461303Z digest=sha256:122c2b91e2da01cb8ca67311c3912125e0de20a3d7d0af944b60730947d12507

Observation d7ab8a26-dda2-4d2a-b6f9-3d62659c355e · inbound

Approximation Theory of Laplacian-Based Neural Operators for Reaction-Diffusion System cites this paper.

Approximation Theory of Laplacian-Based Neural Operators for Reaction-Diffusion System Nonlocality and Nonlinearity Implies Universality in Operator Learning

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-13T06:47:26.100952Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-13T06:46:37.345180Z digest=sha256:8836e2b027a1fd633fe6e493853322ea8b012410e496e1327d7b2ed9daa77149