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Paper Citation Record · LEDGER

LNO: Laplace Neural Operator for Solving Differential Equations

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 inbound Pith citation observations for arXiv:2303.10528.

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

pith.paper-citation-record.v1
2303.10528 v2

Coverage vector

measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 10 of 10 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 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:19:37.970292Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T00:47:30.203333Z

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0 of 0 outbound references displayed

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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 475205ef-0302-47f6-bcb4-77347db6e7b9 · inbound

On the definition and importance of interpretability in scientific machine learning cites this paper.

On the definition and importance of interpretability in scientific machine learning LNO: Laplace Neural Operator for Solving Differential Equations

Reference 10

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verified exact
arxiv_id, observed 2026-05-22T14:11:38.690127Z

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=2026-05-22T14:08:37.253192Z digest=sha256:c330d55505d2ff70a2336b486f16be60e3e7b81b4e1c380d3b31194de845d12d

Observation bf8143b8-e235-41b6-aed1-905434b94a15 · 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 LNO: Laplace Neural Operator for Solving Differential Equations

Reference 13

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unresolved
no resolver link, observed 2026-08-07T04:19:37.970292Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T04:19:37.970292Z digest=sha256:d8fef44543f104c8544a451bcc088b43a2e058d224c8d416610599708f8b1356

Observation 8b27f88b-2963-468d-911d-cec88c14388f · inbound

Multi-Head Neural Operator for Modelling Interfacial Dynamics cites this paper.

Multi-Head Neural Operator for Modelling Interfacial Dynamics LNO: Laplace Neural Operator for Solving Differential Equations

Reference 65

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unresolved
no resolver link, observed 2026-08-06T19:04:46.316086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

SFO: Learning PDE Operators via Spectral Filtering cites this paper.

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.

source=pdf_text observed=2026-08-03T08:36:45.428404Z digest=sha256:6d8f8c6a89b106d3415c7082d19236a70ce775fd2d6e6eb0d16c1d0addfd833b

Observation 744825c7-0c6f-4051-b81a-1fef07295aa8 · inbound

Learning Gradient Flow: Using Equation Discovery to Accelerate Engineering Optimization cites this paper.

Learning Gradient Flow: Using Equation Discovery to Accelerate Engineering Optimization LNO: Laplace Neural Operator for Solving Differential Equations

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-02T23:34:43.051423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T23:34:43.051423Z digest=sha256:bfe41738a32d7d15fa792f98166d6605772c9ddd07ea70580281b863b7ea8f33

Observation 4057c717-9828-4945-9bb9-ba602e13c36f · inbound

Data-Efficient Neural Operator Training via Physics-Based Active Learning cites this paper.

Data-Efficient Neural Operator Training via Physics-Based Active Learning LNO: Laplace Neural Operator for Solving Differential Equations

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-21T05:33:58.514919Z

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=2026-05-21T05:33:00.817862Z digest=sha256:a1f30864bedb8cd4a39e08a81000bb083d4dcbc87cca05c3fae137dc1f218db9

Observation d03bcad5-8cfc-4de8-89d6-cf39cb13c339 · inbound

Physics-Informed Generative Solver: Bridging Data-Driven Priors and Conservation Laws for Stable Spatiotemporal Field Reconstruction cites this paper.

Physics-Informed Generative Solver: Bridging Data-Driven Priors and Conservation Laws for Stable Spatiotemporal Field Reconstruction LNO: Laplace Neural Operator for Solving Differential Equations

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-05-22T07:21:12.987674Z

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=2026-05-22T07:18:38.258250Z digest=sha256:e0d0cb306356c3306d8edf9d6909c7fd50852b2649650a193c4f594baa35b9db

Observation 52ba2330-5b5d-41d9-93d9-5d549cacfd99 · inbound

WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations cites this paper.

WLNO: Wavelet-Laplace Neural Operator for Solving Partial Differential Equations LNO: Laplace Neural Operator for Solving Differential Equations

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-06-30T15:04:46.397611Z

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=2026-06-30T14:57:17.751127Z digest=sha256:2f17ee65b4dd6e3b8022f346c7b533093ed3b6b4e0ff0e800be630ec4298f561

Observation ab64489b-fb9e-4f0d-b306-5a1e3927de6c · inbound

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models cites this paper.

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models LNO: Laplace Neural Operator for Solving Differential Equations

Reference 65

Resolution
verified exact
arxiv_id, observed 2026-07-03T00:47:30.205517Z

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=2026-06-27T17:03:15.379147Z digest=sha256:2fb634ba3fa85af01d31a56c8cc07564e92ba307b1d2b75af2913bce7764ec54

Observation 4f8f0b6a-ff01-45c8-8d33-f3995c4abb92 · inbound

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models cites this paper.

From inverse problems to neural operators: prediction, mechanism, and generalization of data-driven models LNO: Laplace Neural Operator for Solving Differential Equations

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-02T12:05:40.237401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:05:40.237401Z digest=sha256:b050710ac26775ed78793fdac665498d81bf40f3edfde4b2bae55415ba669ba2