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Paper Citation Record · LEDGER

Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2009.04544.

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

pith.paper-citation-record.v1
2009.04544 v5

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 2026-08-09T06:31:02.800959+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T21:49:41.625905Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T10:19:47.516063Z

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 b137b716-1099-45cd-bbc5-26bf018ebccb · inbound

Bayesian Reasoning for Physics Informed Neural Networks cites this paper.

Bayesian Reasoning for Physics Informed Neural Networks Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 64

Resolution
verified exact
arxiv_id, observed 2026-05-24T08:06:03.927325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T08:04:59.688875Z digest=sha256:6a483d625a0c33486ca16ad86fa851ee471f93a4e3243360f8339d83a02d61aa

Observation a49448d0-8990-4782-8081-f7acc6ee6683 · inbound

Machine learning for modelling unstructured grid data in computational physics: a review cites this paper.

Machine learning for modelling unstructured grid data in computational physics: a review Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 275

Resolution
unresolved
no resolver link, observed 2026-08-07T21:49:41.625905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T21:49:41.625905Z digest=sha256:8394205f9808009ffe0b091a4d0886ad8363c02794b5c8a74d10e37bceb67ee1

Observation 2549fa22-25ff-453f-8ce7-c713a6eb1c4b · inbound

Neural Functions for Learning Periodic Signal cites this paper.

Neural Functions for Learning Periodic Signal Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 1963

Resolution
unresolved
no resolver link, observed 2026-08-07T04:53:33.775068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:53:33.775068Z digest=sha256:0fbdccad0c6b203698bb4f2adb998d95e2d1d7173d0761222bd4631077dd204c

Observation e2102d71-c92c-420b-95bf-886b1e05c4cb · inbound

Breaking the Precision Ceiling in Physics-Informed Neural Networks: A Hybrid Fourier-Neural Architecture for Ultra-High Accuracy cites this paper.

Breaking the Precision Ceiling in Physics-Informed Neural Networks: A Hybrid Fourier-Neural Architecture for Ultra-High Accuracy Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-06T13:13:32.775659Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T13:13:32.775659Z digest=sha256:b23dc11a9a54f8e45d9f323059b7ba0567fd46e86e2586ca52e273961071ed62

Observation 552611c3-da05-4a51-83f0-f86743951d6c · inbound

A Practitioner's Guide to Kolmogorov-Arnold Networks cites this paper.

A Practitioner's Guide to Kolmogorov-Arnold Networks Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 11

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T03:30:50.669943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-18T03:29:15.570760Z digest=sha256:484064bbec87857bac15542593ccff7909de8f5d193fc0df330b7ecd42a083b3

Observation 0e6380be-8c98-4b9a-9f96-c7b4a7aeb42d · inbound

Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation cites this paper.

Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-11T09:31:06.498360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T15:57:42.059695Z digest=sha256:e2b273b693eb33399fc1b2159e1d174e3aa0a609a9f2bac12d31321366e6936b

Observation 41233ca3-8bf7-4816-a01f-f38e92d57259 · inbound

Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation cites this paper.

Local Well-Posedness of a Modified NSCH-Oldroyd System: PINN-Based Numerical Computation Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-12T07:51:36.707143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-12T01:48:26.265644Z digest=sha256:a1d77f1641d19dac5fca6504a166e433419ead5581dff6f6988a30681f3dc2aa

Observation 99b6223e-3cd1-463c-b9d6-824ee6c994eb · inbound

When PINNs Go Wrong: Pseudo-Time Stepping Against Spurious Solutions cites this paper.

When PINNs Go Wrong: Pseudo-Time Stepping Against Spurious Solutions Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 31

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T21:06:14.661201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-08T06:43:07.836039Z digest=sha256:b6e35d6955997949a0c9a3dbf1135883fc2d178bb0d5daaf22b7cf8b1ba428f2

Observation 423b50fd-4140-4a2c-b848-0d34531774e2 · inbound

Physics-Informed Neural Networks with Learnable Loss Balancing and Transfer Learning cites this paper.

Physics-Informed Neural Networks with Learnable Loss Balancing and Transfer Learning Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 22

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T09:33:41.574996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=arxiv_source observed=2026-05-10T09:29:22.792337Z digest=sha256:dcb049711e7aa43c72bf883dff2b2e2a6db21644ccb784929a6a1ef4a77c8058

Observation d13c4421-e7dc-45ec-9ef4-62da7052c482 · inbound

Physics-Informed Residuals for Adaptive Mesh Refinement in Finite-Difference PDE Solvers cites this paper.

Physics-Informed Residuals for Adaptive Mesh Refinement in Finite-Difference PDE Solvers Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 26

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T00:56:24.245573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T13:14:45.284507Z digest=sha256:dc8caaa60f77a39c74ce4f99770d213cbb1c548d51cddad8fa43625ca3e82981

Observation d52b0505-2ab3-41e3-b427-bc518da708a4 · inbound

Loss-Conditional PINNs for Parametric PDE Families cites this paper.

Loss-Conditional PINNs for Parametric PDE Families Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-07-02T06:16:43.881462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T07:27:23.125203Z digest=sha256:ccab883b3f45750393a0e014da1e38f69f4b5d8ad01296f986d87a3229c0f4de

Observation aa29b8f9-2f0a-4036-82a6-f4cd89dad8b6 · inbound

Adaptive Hard-Soft Physics-Informed Neural Networks for Robust Boundary-Constrained PDE Solving cites this paper.

Adaptive Hard-Soft Physics-Informed Neural Networks for Robust Boundary-Constrained PDE Solving Self-Adaptive Physics-Informed Neural Networks using a Soft Attention Mechanism

Reference 22

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T10:19:47.517498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-26T08:58:08.138412Z digest=sha256:f7f860ef89a17cc7dabf4c51e21d64eba3d2facb74f4ef115b1969f9bae2c2c7