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Paper Citation Record · LEDGER

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries

As of 8 August 2026, this Paper Citation Record lists 6 of 6 outbound references and 0 inbound Pith citation observations for arXiv:2508.04463.

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

pith.paper-citation-record.v1
2508.04463 v1

Coverage vector

measured 6 of 6 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:03:04.124429Z

measured 6 of 6 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

6 of 6 outbound references displayed

  • verified exact0
  • verified fuzzy3
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8754cd4-b92e-4065-ab60-11de587b6237 · outbound

This paper cites In International Conference on Machine Learning, 21658–21671.

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries In International Conference on Machine Learning, 21658–21671

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:03:04.513843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T00:03:03.960979Z digest=sha256:58565ea136ac94fc085e65663dcba5eaadefe0543e69ad681fb7545cbf660d5a

Observation aaa3d6b3-9c2e-447f-93ba-21f86e1de685 · outbound

This paper cites U-NO: U-shaped Neural Operators.

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries U-NO: U-shaped Neural Operators

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-06T00:03:04.124429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:03:04.124429Z digest=sha256:2a103d950373c9d212c98619d9ff56f4671428a577abedf4500c3ac6994746fc

Observation cec7cd6c-d46d-42e1-a6f6-7316de00a236 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries Fourier Neural Operator for Parametric Partial Differential Equations

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-06T00:03:03.876237Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:03:03.876237Z digest=sha256:99b6bc5086590f0c6455b1afa98332b7da94046c4e8f7ad7341bd57f8ceff2e4

Observation 1435e446-1d29-4652-adb7-65c46cab9f21 · outbound

This paper cites Nature machine intelligence, 3(3): 218–229.

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries Nature machine intelligence, 3(3): 218–229

Reference 2021

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:03:04.364678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T00:03:04.047017Z digest=sha256:6b9fb6059bb140c2b08519d22838c7ab4fe027c29c467304040278ea86e7bb95

Observation edb4c9c2-dc7e-4334-a4b3-f35f4fd01940 · outbound

This paper cites Generating Long Sequences with Sparse Transformers.

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries Generating Long Sequences with Sparse Transformers

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-06T00:03:03.739133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:03:03.739133Z digest=sha256:6f05a6e562ae5376efbef7a24a2985ffc6d105239df19b10082a3983b6bd6941

Observation 2302fa8c-3e1f-4777-b7d1-633293df67b9 · outbound

This paper cites Advances in Neu- ral Information Processing Systems, 36: 51830–51861.

GFocal: A Global-Focal Neural Operator for Solving PDEs on Arbitrary Geometries Advances in Neu- ral Information Processing Systems, 36: 51830–51861

Reference 2023

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:03:04.682966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T00:03:03.792892Z digest=sha256:747ebb805e05bd4734b4272a1135f05b235cc7029cba7dba0246742f0a9e9373

Pith citing papers

No inbound Pith citation observations are available.