Paper Citation Record · LEDGER

Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2007.04542.

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

pith.paper-citation-record.v1
2007.04542 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 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 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:04:46.286942Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T09:29:43.193046Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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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 7f8e169b-76f8-40ab-9c92-8f859224e635 · inbound

Bayesian Reasoning for Physics Informed Neural Networks cites this paper.

Bayesian Reasoning for Physics Informed Neural Networks Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-05-24T08:06:03.903821Z

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.

Observation 2050993d-51a0-48e0-87ec-4306f93818a8 · inbound

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

Multi-Head Neural Operator for Modelling Interfacial Dynamics Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-06T19:04:46.286942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd29fe44-6862-4b4e-8b66-c0d507d80783 · inbound

Learning coupled Allen-Cahn and Cahn-Hilliard phase-field equations using Physics-informed neural operator(PINO) cites this paper.

Learning coupled Allen-Cahn and Cahn-Hilliard phase-field equations using Physics-informed neural operator(PINO) Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T14:36:35.246713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2c7f935d-c926-420f-aa4f-d916dc124334 · inbound

PIANO: Physics Informed Autoregressive Network cites this paper.

PIANO: Physics Informed Autoregressive Network Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-05T17:29:36.652239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9ad1f7a-099e-4cdb-974f-1fb08e68f922 · inbound

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model cites this paper.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T12:48:25.569319Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc52f112-105a-4639-926b-a9c033683eee · inbound

Physics-Informed Neural Networks for Joint Source and Parameter Estimation in Advection-Diffusion Equations cites this paper.

Physics-Informed Neural Networks for Joint Source and Parameter Estimation in Advection-Diffusion Equations Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-05-17T00:08:43.240967Z

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.

Observation e5d74ff8-6906-4d2e-acae-533551dd7ba1 · inbound

General Explicit Network (GEN): A novel deep learning architecture for solving partial differential equations cites this paper.

General Explicit Network (GEN): A novel deep learning architecture for solving partial differential equations Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 44

Resolution: verified exact; arxiv_id, observed 2026-05-13T22:13:20.938959Z

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.

Observation 69378b33-df41-42bd-bcf7-97466232c6fa · inbound

Learning on the Temporal Tangent Bundle for Physics-Informed Neural Networks cites this paper.

Learning on the Temporal Tangent Bundle for Physics-Informed Neural Networks Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 46

Resolution: verified exact; arxiv_id, observed 2026-05-11T10:51:04.355662Z

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.

Observation 0ba0543c-5f6b-4a90-a98e-6aecc8de37b5 · inbound

DeepRitzSplit Neural Operator for Phase-Field Models via Energy Splitting cites this paper.

DeepRitzSplit Neural Operator for Phase-Field Models via Energy Splitting Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-11T12:11:04.674171Z

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.

Observation cf5cf0d1-753c-48ae-877e-e5f26775a770 · inbound

Di-BiLPS: Denoising induced Bidirectional Latent-PDE-Solver under Sparse Observations cites this paper.

Di-BiLPS: Denoising induced Bidirectional Latent-PDE-Solver under Sparse Observations Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-14T19:07:50.981508Z

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.

Observation 0c372d8e-711b-4cf4-9e64-702b9868c1b2 · inbound

PI-DOSnet: A Physics-Informed Deep Operator-Splitting Network for Evolution Partial Differential Equations cites this paper.

PI-DOSnet: A Physics-Informed Deep Operator-Splitting Network for Evolution Partial Differential Equations Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-04T09:29:43.195211Z

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.

Observation db0bbdb3-ce0f-4b17-a4f7-94bf1611032f · inbound

Scale-Bridging Phase-Field Modeling of Microstructure Evolution by FE$^2$ Computational Homogenization cites this paper.

Scale-Bridging Phase-Field Modeling of Microstructure Evolution by FE$^2$ Computational Homogenization Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 75

Resolution: unresolved; no resolver link, observed 2026-07-13T03:39:25.657171Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.