Paper Citation Record · LEDGER

SFO: Learning PDE Operators via Spectral Filtering

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2601.17090.

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

pith.paper-citation-record.v1
2601.17090 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:36:46.196757Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

16 of 16 outbound references displayed

verified exact0
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 565f3a61-d562-4ae2-adec-8d8ab73463eb · outbound

This paper cites Spectral State Space Models.

SFO: Learning PDE Operators via Spectral Filtering Spectral State Space Models

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.349663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31c190a4-5047-4773-a91d-09fb29011e49 · outbound

This paper cites I., Nguyen, W., Devre, Y ., Dogariu, E., Majumdar, A., and Hazan, E.

SFO: Learning PDE Operators via Spectral Filtering I., Nguyen, W., Devre, Y ., Dogariu, E., Majumdar, A., and Hazan, E

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.849590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d30f6c03-e1a2-4dd6-8f0d-1c8408f79db4 · outbound

This paper cites Deep Parallel Spectral Neural Operators for Solving Partial Differential Equations with Enhanced Low-Frequency Learning Capability.

SFO: Learning PDE Operators via Spectral Filtering Deep Parallel Spectral Neural Operators for Solving Partial Differential Equations with Enhanced Low-Frequency Learning Capability

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.903788Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc657ab7-c1da-4190-a12d-e8849a3b2436 · outbound

This paper cites Koopman neural operator as a mesh-free solver of non-linear partial differential equations.

SFO: Learning PDE Operators via Spectral Filtering Koopman neural operator as a mesh-free solver of non-linear partial differential equations

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.961940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba2a169b-786b-47bb-9fa2-970822e9901d · outbound

This paper cites Analysis of learned Hilbert coefficients.

SFO: Learning PDE Operators via Spectral Filtering Analysis of learned Hilbert coefficients

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:46.011429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78454e04-c7bb-481b-ab6b-522546dddb63 · outbound

This paper cites On a finite discretized grid, FFT corresponds to circular convolution and thus implicitly assumes a periodic extension of the domain.

SFO: Learning PDE Operators via Spectral Filtering On a finite discretized grid, FFT corresponds to circular convolution and thus implicitly assumes a periodic extension of the domain

Reference 13

Resolution: malformed identifier; no resolver link, observed 2026-08-03T08:36:46.060268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61a27cfc-bc0c-400e-ac24-e1c4f8931f66 · outbound

This paper cites Finally, we obtain G[t] =Udiag(g 1[t],.

SFO: Learning PDE Operators via Spectral Filtering Finally, we obtain G[t] =Udiag(g 1[t],

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:46.113523Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b43b219f-a012-4c64-bc65-c4d4331ec9dc · outbound

This paper cites Moreover, the Hankel spectrum decays exponentially (see Chapter 11 of (Hazan & Singh, 2022)), yielding the stated logarithmic mode complexity.

SFO: Learning PDE Operators via Spectral Filtering Moreover, the Hankel spectrum decays exponentially (see Chapter 11 of (Hazan & Singh, 2022)), yielding the stated logarithmic mode complexity

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:46.164502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3387d5ca-66f5-4e47-8dea-cef9e8a2255e · outbound

This paper cites 16 SFO: Learning PDE Solution Operators via Hilbert Spectral Modes We can now prove Theorem G.1 as a simple consequence of the proceeding two lemmas: Proof of Theorem G.1.

SFO: Learning PDE Operators via Spectral Filtering 16 SFO: Learning PDE Solution Operators via Hilbert Spectral Modes We can now prove Theorem G.1 as a simple consequence of the proceeding two lemmas: Proof of Theorem G.1

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:46.196757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6dfa338-dbc0-4756-b005-f372eb49ec50 · outbound

This paper cites Universal Learning of Nonlinear Dynamics.

SFO: Learning PDE Operators via Spectral Filtering Universal Learning of Nonlinear Dynamics

Reference 1984

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.564249Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83266164-51eb-4469-8bd6-f49d993c7824 · outbound

This paper cites Introduction to Online Control.

SFO: Learning PDE Operators via Spectral Filtering Introduction to Online Control

Reference 2000

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.641917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92380c23-6b20-42be-b172-bb5084b8d1bb · outbound

This paper cites an unresolved cited work.

SFO: Learning PDE Operators via Spectral Filtering Unresolved cited work

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.701308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56cd31a6-6d53-4667-aab8-f7fd4cf48d02 · outbound

This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.

SFO: Learning PDE Operators via Spectral Filtering Neural Operator: Graph Kernel Network for Partial Differential Equations

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.744358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f1c3ac8d-025a-4211-ad60-fa8049b0c760 · outbound

This paper cites LNO: Laplace Neural Operator for Solving Differential Equations.

SFO: Learning PDE Operators via Spectral Filtering LNO: Laplace Neural Operator for Solving Differential Equations

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.428404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 669e909e-09df-434f-962c-89d21a9f7bf1 · outbound

This paper cites Galerkin transformer.

SFO: Learning PDE Operators via Spectral Filtering Galerkin transformer

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.522740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c30e83ed-9ada-4700-bcca-05568278658f · outbound

This paper cites Operator Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Characterized by Sharp Solutions.

SFO: Learning PDE Operators via Spectral Filtering Operator Learning Enhanced Physics-informed Neural Networks for Solving Partial Differential Equations Characterized by Sharp Solutions

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-03T08:36:45.795503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.