Paper Citation Record · LEDGER

Physics-Informed Deep Neural Operator Networks

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2207.05748.

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

pith.paper-citation-record.v1
2207.05748 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 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 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T16:20:50.971327Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T07:59:40.329042Z

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 d5cc9feb-0055-4ad9-91fe-b7d8cb7cddb2 · inbound

A DeepONet for inverting the Neumann-to-Dirichlet Operator in Electrical Impedance Tomography: An approximation theoretic perspective and numerical results cites this paper.

A DeepONet for inverting the Neumann-to-Dirichlet Operator in Electrical Impedance Tomography: An approximation theoretic perspective and numerical results Physics-Informed Deep Neural Operator Networks

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-05-23T22:48:32.841153Z

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 cce6aa0b-5edd-49b2-b6ab-8f886c9fe8dc · inbound

Learning Hidden Physics and System Parameters with Deep Operator Networks cites this paper.

Learning Hidden Physics and System Parameters with Deep Operator Networks Physics-Informed Deep Neural Operator Networks

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-05-23T07:45:28.874029Z

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 03700b4e-43ef-4eab-8161-1c0a7e9e79b0 · inbound

DGenNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling cites this paper.

DGenNO: A Novel Physics-aware Neural Operator for Solving Forward and Inverse PDE Problems based on Deep, Generative Probabilistic Modeling Physics-Informed Deep Neural Operator Networks

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-08T16:20:50.971327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df3dff21-0546-4646-9389-63d9bdf71802 · inbound

Neural Interpretable PDEs: Harmonizing Fourier Insights with Attention for Scalable and Interpretable Physics Discovery cites this paper.

Neural Interpretable PDEs: Harmonizing Fourier Insights with Attention for Scalable and Interpretable Physics Discovery Physics-Informed Deep Neural Operator Networks

Reference 1991

Resolution: unresolved; no resolver link, observed 2026-08-07T13:02:02.565107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acd086d4-3ffc-4deb-be69-9faf4e781350 · inbound

Toward Knowledge-Guided AI for Inverse Design in Manufacturing: A Perspective on Domain, Physics, and Human-AI Synergy cites this paper.

Toward Knowledge-Guided AI for Inverse Design in Manufacturing: A Perspective on Domain, Physics, and Human-AI Synergy Physics-Informed Deep Neural Operator Networks

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-07T12:53:37.450970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 654a86e2-9d79-475c-82c9-3cce976b3b52 · inbound

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning cites this paper.

FEDONet : Fourier-Embedded DeepONet for Spectrally Accurate Operator Learning Physics-Informed Deep Neural Operator Networks

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-18T16:06:35.246042Z

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 c377bb87-c3c9-411d-89e9-ed1d2cfbb1aa · inbound

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation cites this paper.

Spectral Embedding via Chebyshev Bases for Robust DeepONet Approximation Physics-Informed Deep Neural Operator Networks

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-03T17:33:54.700380Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b709c358-e33a-4169-ae90-f1e9d6259517 · inbound

Parameterized Representations via Implicit Stochastic Modulation for High-Dimensional and High-Order Neural PDE Solvers cites this paper.

Parameterized Representations via Implicit Stochastic Modulation for High-Dimensional and High-Order Neural PDE Solvers Physics-Informed Deep Neural Operator Networks

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-04T07:59:40.330247Z

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.