Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T16:27:18.587917Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 60 of 60 outbound references and 0 inbound Pith citation observations for arXiv:2501.16370.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T16:27:18.587917Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
60 of 60 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 715cc7e5-b39f-47bc-9d35-16574e9aed19 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 27674f5e-6872-41a1-8bab-db88fe76057f · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer (1989)
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7f493de5-ad7e-41b7-bbb2-0353c8758b76 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations SIAM review39(3), 484–493 (1997)
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d9f1ce49-9c77-475d-b395-a5211ccb5157 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Proceedings of the royal society of london
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a27e34ce-475c-4758-b07f-1c575ea6be43 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer, ??? (2012)
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a361495a-40f5-4d06-9b08-be17d99f7aa1 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Theoretical population biology 2(1), 1–23 (1971)
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0379a826-5daf-488a-9cbc-9cfab9a6c087 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Thermochimica Acta660, 82–93 (2018) 24
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f17dcd4b-8612-4d55-8bf3-77a0e48b643e · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations International journal of computer mathematics61(1-2), 103–110 (1996)
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a50e6827-2ad7-42ed-ad14-056439e30e35 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7caf4df2-b349-4e11-b10c-9dbf62d226d6 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Mathematics and Computers in Simulation71(1), 16–30 (2006)
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 68d7abe9-04d9-4371-be5a-811e63b0c8fa · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Elsevier, ??? (2005)
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 935fff68-faa7-45e4-b320-122a76dea295 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Polymers 12(4), 818 (2020)
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9d0d0b01-4138-4581-915a-ce4a2549d8fb · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Courier Corporation, ??? (2001)
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a2e5514a-a546-413a-a5b0-e5954f7d96ba · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Engineering with Computers38(3), 1977–1984 (2022)
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 446777fe-4cf5-469b-813c-0ee5aef93f09 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations The European Physical Journal Plus135, 1–19 (2020)
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 1057e948-3880-4bc4-9787-f9a33200ae74 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Complexity26(5), 455–489 (2010)
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6d0f0b1b-d20c-48bf-be75-0ded285bf4d5 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations part ii: implementation and tests in dune
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dcdc5e9e-a8d7-421e-a07a-8fabdc20e41f · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations SIAM, ??? (2002)
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 73ad7ed5-1775-401e-a3bc-d53cf26b9599 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations In: SC’12: Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis, pp
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 7aed7a1a-ba40-4ae6-a103-8d2f558fbab7 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer, ??? (2011)
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 576b7779-7552-4b74-84b5-2cec638ae357 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations John wiley & sons, ??? (1991)
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4cca623d-5abd-4a4f-ab62-c48b671342d2 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Vibration and Control17(13), 2050– 2058 (2011)
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 9f7e6aec-eb80-4ac2-8ddc-1844df81174b · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations MIT press (2016)
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e9468f9c-8c29-49ef-87fc-117a7bc4b2d4 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations nature521(7553), 436–444 (2015)
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cebc5f92-2a7e-4c42-92a7-da8a1bfa561e · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational physics378, 686–707 (2019)
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b928bb6-9e22-45f5-ad72-8e3aee7adca3 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Nature Reviews Physics3(6), 422–440 (2021)
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1aa93286-b4e5-45c9-b5dd-68fdcc31174b · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations SIAM review63(1), 208–228 (2021)
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 43380d76-fbfe-4737-803c-c04bd87378f4 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational Physics357, 125–141 (2018)
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation d2c915a7-7697-43bc-8d5e-2985c2fe094f · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations University of Notre Dame, ??? (2019)
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 42e89642-a779-453b-9fef-c0097a78d421 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neurocomputing317, 28–41 (2018)
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 506c9dba-a930-4bee-a74d-c3c087fe86c3 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of computational physics375, 1339–1364 (2018)
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 14f39d75-293b-45c8-9063-2bc300ae3c7c · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Proceedings of the National Academy of Sciences115(34), 8505–8510 (2018)
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8f45ea4c-ea00-4626-80f8-a335aa089465 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation bf2f98ed-fb40-447e-a0f1-4fd03e55c984 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations IEEE transactions on neural networks5(2), 157–166 (1994)
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4a035ec2-1dea-461e-82f1-b39b2bc90f83 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems6(02), 107–116 (1998)
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f102451b-6150-467c-aad3-88ae51750e63 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations On the Stability and Convergence of Physics Informed Neural Networks
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6344ff61-3267-40d9-a82a-51950d4ba270 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational Physics462, 111260 (2022)
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f234257b-8ab3-4a5f-9fe7-90a940bb07d4 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational Physics474, 111722 (2023)
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 53fbf1a1-9073-4ebf-9a54-145ed3c7ab03 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 55a18df4-812a-4f21-8b9d-dfe49efe5409 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations IEEE Transactions on Antennas and Propagation56(8), 2442–2452 (2008)
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation e1b29fb6-c5fb-46ba-99f0-4db28b82ec4a · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Superconductor Science and Technology21(10), 105008 (2008)
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 009f8805-5309-4644-a792-bf1529662beb · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer, ??? (2024)
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation a16ad28c-1202-4f3d-9aad-3dee05c9e790 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Scientific Computing 90(1), 35 (2021) https://doi.org/10.1007/s10915-021-01714-6
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 8a0044aa-3741-411e-a9fb-2095a5b3c461 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Earth, Planets and Space70(1), 103 (2018) https://doi.org/10.1186/ s40623-018-0876-7
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f0808dee-8efc-4ca0-8c5c-52520c3d5775 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Archives of Computational Methods in Engineering29(6), 4431–4453 (2022) https://doi.org/10.1007/s11831-022-09740-9 27
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1001282-e875-451f-85c8-3a6def1612a0 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Archives of Computational Methods in Engineering31(5), 2945–2984 (2024) https://doi.org/ 10.1007/s11831-024-10063-0
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation fbe9ae58-89e1-4763-956d-aed498b92e66 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Mathematics 11(21) (2023) https://doi.org/10.3390/math11214418
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation dfa7b235-ae37-4c3b-8bd0-0b789e262808 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neural Computing and Applications21, 843–852 (2012)
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 5db7cbc4-6cb3-4b19-b67e-499954ab2708 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Iranian journal of fuzzy systems11(1), 91–112 (2014)
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 6565940c-ddf5-4e71-80ba-37eab5d26702 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Applied Soft Computing 27, 391–398 (2015)
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 4ed757ee-97d9-4006-bd6a-70e2336d8e5b · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Mathematical Sciences 8, 1–9 (2014)
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation ea224ee1-1def-4cef-9a9c-a8a3dadb4392 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 0b3e1842-5dd8-4cfd-b422-6339a7026268 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations IEEE Transactions on Antennas and Propagation70(8), 6135–6147 (2021)
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation f007a086-1ca5-42a6-b05a-f3b04e5a156a · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Nature Machine Intelligence3(3), 218–229 (2021) https://doi.org/10.1038/ s42256-021-00302-5
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18e80ed6-bbcf-4089-b11e-be3c7ffd52f1 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Fourier Neural Operator for Parametric Partial Differential Equations
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4e6c466-64c3-4665-9417-d9194ca9acce · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work
Reference 56
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 092ce49f-f735-44a5-a91a-25631f32c3fe · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Information Sciences612, 887–897 (2022) https: //doi.org/10.1016/j.ins.2022.09.017
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 2c15d01d-49bf-4837-9598-bbb963c57373 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neural networks3(5), 551–560 (1990)
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
Observation 890a8002-5fe1-4198-89ba-739419d70601 · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Acta numerica8, 143–195 (1999)
Reference 59
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ae94c63e-45d7-4e74-9bff-43508d16fe0c · outbound
Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neural computation8(1), 164–177 (1996) 29
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.
No inbound Pith citation observations are available.