Paper Citation Record · LEDGER

LNO: Laplace Neural Operator for Solving Differential Equations

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 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

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 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 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T17:23:17.883314Z

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

Reference resolution

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 0f7b5d00-d32f-4447-9727-debf8d6f24e5 · inbound

LazyDINO: Fast, scalable, and efficiently amortized Bayesian inversion via structure-exploiting and surrogate-driven measure transport cites this paper.

LazyDINO: Fast, scalable, and efficiently amortized Bayesian inversion via structure-exploiting and surrogate-driven measure transport LNO: Laplace Neural Operator for Solving Differential Equations

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-12T17:23:17.883314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5a20c40-718d-49a3-b493-31d1b90d5c12 · inbound

Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach cites this paper.

Operator Learning for Reconstructing Flow Fields from Sparse Measurements: an Energy Transformer Approach LNO: Laplace Neural Operator for Solving Differential Equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T22:31:41.747345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6504ca1c-f9d8-49d1-9a8a-3b2bdf35024e · inbound

MeshONet: A Generalizable and Efficient Operator Learning Method for Structured Mesh Generation cites this paper.

MeshONet: A Generalizable and Efficient Operator Learning Method for Structured Mesh Generation LNO: Laplace Neural Operator for Solving Differential Equations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T17:46:46.872502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Resolution: 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 2026-08-14T06:32:32.682623+00:00.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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.

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.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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 2026-08-14T06:32:32.682623+00:00.

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.