Pith. sign in

Paper Citation Record · LEDGER

Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2211.15188.

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

pith.paper-citation-record.v1
2211.15188 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:03:25.534956Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T18:41:10.985357Z

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 39aba0f6-b3e6-4cb8-b3b1-4936e0ba1fe5 · inbound

Quantum Circuit Training with Growth-Based Architectures cites this paper.

Quantum Circuit Training with Growth-Based Architectures Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-12T13:03:25.534956Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:03:25.534956Z digest=sha256:5b18c48bf33d80ef393535677ba9074044740fffc7f7305630b49b0096866a84

Observation 4d65ee87-e03f-42a7-b864-87ed01b31a13 · inbound

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems cites this paper.

A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-11T17:28:16.015621Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T17:28:16.015621Z digest=sha256:6edcd0b31e8efa23e7ade6bf70dc25d576a6d5f4fa5a9b2b62bab454a4d143dc

Observation b68c64f1-bd3c-493c-97a7-4cca2749d8a0 · 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 Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-07T04:19:39.200615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:19:39.200615Z digest=sha256:744eab59b1ecce89208cca342a1f888a6db6a5070b42cac5b65bf5578c28e11a

Observation 2bde3204-4581-498b-a64b-98d4ab9ef5c2 · inbound

Localized FNO for Spatiotemporal Hemodynamic Upsampling in Aneurysm MRI cites this paper.

Localized FNO for Spatiotemporal Hemodynamic Upsampling in Aneurysm MRI Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-06T16:19:41.159836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:19:41.159836Z digest=sha256:e7cc31f5b413c77b9d6dbc14dd0ca0c5d40e41cc314dfdfaf0f2874927c57b00

Observation de59015c-c0f1-4a21-86d0-3d9a280d6d5a · inbound

Deep Wave Network for Modeling Multi-Scale Physical Dynamics cites this paper.

Deep Wave Network for Modeling Multi-Scale Physical Dynamics Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs

Reference 49

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T17:31:04.925807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-08T17:33:24.661591Z digest=sha256:06affc5dd8a395ec6fd9269ba1d64c9211b1467c2589fc390169d5085ea12d79

Observation c30f4d98-ba92-4613-b9fb-44798ef4be4a · inbound

Do Neural Operators Forget Geometry? The Forgetting Hypothesis in Deep Operator Learning cites this paper.

Do Neural Operators Forget Geometry? The Forgetting Hypothesis in Deep Operator Learning Incremental Spatial and Spectral Learning of Neural Operators for Solving Large-Scale PDEs

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-11T18:41:10.988977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-08T14:43:03.403254Z digest=sha256:44317eec3d37914ba8241859c166a1642595b93974cdaceff99a1c7bd92506c6