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Paper Citation Record · LEDGER

Physics-Informed Deep Neural Operator Networks

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 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 7 of 7 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:02:02.565107Z

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

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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 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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T22:46:00.706442Z digest=sha256:7a7fde25a692c83959da95be8c224eb70641b420958593be1c5169805cc28763

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T07:44:41.833239Z digest=sha256:3ea7213dbb1c06a1007ed0c1f2d41dba5d6585eaab8ae4d6f03565386e7e6cca

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.

source=pdf_text observed=2026-08-07T13:02:02.565107Z digest=sha256:7670795fd6627715fa22273571e4650f78467f2a520fd4cfcdbaa9000954496f

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.

source=pdf_text observed=2026-08-07T12:53:37.450970Z digest=sha256:141970426e1675a8472b79829e92470c7a03ddc743ddfc181ce551765449741b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-18T16:03:36.833056Z digest=sha256:e3e75e938ced66ac645e4402471086585ccb98d9ce72e8a0b65052f48185db57

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.

source=pdf_text observed=2026-08-03T17:33:54.700380Z digest=sha256:1e48172cabe26a68d0a28160f34ec69c987835dd288b2e821e4f06b4b83d8948

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T12:20:25.523371Z digest=sha256:c0243e46a7ac602b7210449fdcaa5c98329f2228f6322246c2fbafc587a56683