Paper Citation Record · LEDGER

On universal approximation and error bounds for Fourier Neural Operators

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2107.07562.

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

pith.paper-citation-record.v1
2107.07562 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T23:41:59.534285Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T15:03:24.813382Z

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 77b1ff58-04c6-48ad-b43d-00420496923b · inbound

A Neural Operator based Hybrid Microscale Model for Multiscale Simulation of Rate-Dependent Materials cites this paper.

A Neural Operator based Hybrid Microscale Model for Multiscale Simulation of Rate-Dependent Materials On universal approximation and error bounds for Fourier Neural Operators

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T23:41:59.534285Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab186eeb-00c0-4d8e-a258-706cff291db8 · inbound

Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth cites this paper.

Fourier Neural Operators for Time-Periodic Quantum Systems: Learning Floquet Hamiltonians, Observable Dynamics, and Operator Growth On universal approximation and error bounds for Fourier Neural Operators

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T22:56:16.139524Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0423fb34-e6ff-4b20-b116-f6052df80bbd · inbound

Regularized Random Fourier Features and Finite Element Reconstruction for Operator Learning in Sobolev Space cites this paper.

Regularized Random Fourier Features and Finite Element Reconstruction for Operator Learning in Sobolev Space On universal approximation and error bounds for Fourier Neural Operators

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T15:14:42.079321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0af1f9d8-a7b3-4ad8-856d-570ce05c1460 · inbound

Stability and Discretization Error of State Space Model Neural Operators cites this paper.

Stability and Discretization Error of State Space Model Neural Operators On universal approximation and error bounds for Fourier Neural Operators

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-20T15:03:24.815002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.