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Paper Citation Record · LEDGER

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations

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.

pith.paper-citation-record.v1
2501.16370 v3

Coverage vector

measured 60 of 60 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:27:18.587917Z

measured 60 of 60 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

60 of 60 outbound references displayed

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  • verified fuzzy41
  • unresolved12
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 715cc7e5-b39f-47bc-9d35-16574e9aed19 · outbound

This paper cites an unresolved cited work.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work

Reference 1

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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.

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Observation 27674f5e-6872-41a1-8bab-db88fe76057f · outbound

This paper cites Springer (1989).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer (1989)

Reference 2

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 7f493de5-ad7e-41b7-bbb2-0353c8758b76 · outbound

This paper cites SIAM review39(3), 484–493 (1997).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations SIAM review39(3), 484–493 (1997)

Reference 3

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation d9f1ce49-9c77-475d-b395-a5211ccb5157 · outbound

This paper cites Proceedings of the royal society of london.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Proceedings of the royal society of london

Reference 4

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no resolver link, observed 2026-08-10T16:27:18.187986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a27e34ce-475c-4758-b07f-1c575ea6be43 · outbound

This paper cites Springer, ??? (2012).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer, ??? (2012)

Reference 5

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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.

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Observation a361495a-40f5-4d06-9b08-be17d99f7aa1 · outbound

This paper cites Theoretical population biology 2(1), 1–23 (1971).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Theoretical population biology 2(1), 1–23 (1971)

Reference 6

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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.

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Observation 0379a826-5daf-488a-9cbc-9cfab9a6c087 · outbound

This paper cites Thermochimica Acta660, 82–93 (2018) 24.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Thermochimica Acta660, 82–93 (2018) 24

Reference 7

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verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation f17dcd4b-8612-4d55-8bf3-77a0e48b643e · outbound

This paper cites International journal of computer mathematics61(1-2), 103–110 (1996).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations International journal of computer mathematics61(1-2), 103–110 (1996)

Reference 8

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verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation a50e6827-2ad7-42ed-ad14-056439e30e35 · outbound

This paper cites an unresolved cited work.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work

Reference 9

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unresolved
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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.

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Observation 7caf4df2-b349-4e11-b10c-9dbf62d226d6 · outbound

This paper cites Mathematics and Computers in Simulation71(1), 16–30 (2006).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Mathematics and Computers in Simulation71(1), 16–30 (2006)

Reference 10

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Observation 68d7abe9-04d9-4371-be5a-811e63b0c8fa · outbound

This paper cites Elsevier, ??? (2005).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Elsevier, ??? (2005)

Reference 11

Resolution
verified fuzzy
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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.

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Observation 935fff68-faa7-45e4-b320-122a76dea295 · outbound

This paper cites Polymers 12(4), 818 (2020).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Polymers 12(4), 818 (2020)

Reference 12

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 9d0d0b01-4138-4581-915a-ce4a2549d8fb · outbound

This paper cites Courier Corporation, ??? (2001).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Courier Corporation, ??? (2001)

Reference 13

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verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation a2e5514a-a546-413a-a5b0-e5954f7d96ba · outbound

This paper cites Engineering with Computers38(3), 1977–1984 (2022).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Engineering with Computers38(3), 1977–1984 (2022)

Reference 14

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verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T16:27:18.235648Z digest=sha256:c327ffd6e064087ea5305795fe6a077675f955723e318b0ae7a8274bfd18cd08

Observation 446777fe-4cf5-469b-813c-0ee5aef93f09 · outbound

This paper cites The European Physical Journal Plus135, 1–19 (2020).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations The European Physical Journal Plus135, 1–19 (2020)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.378294Z

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.

source=pdf_text observed=2026-08-10T16:27:18.239673Z digest=sha256:3e48131a60c9df702750260db939a6cf455e683ed5e1229aa1f96abe7ea742ba

Observation 1057e948-3880-4bc4-9787-f9a33200ae74 · outbound

This paper cites Journal of Complexity26(5), 455–489 (2010).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Complexity26(5), 455–489 (2010)

Reference 16

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verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.360334Z

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.

source=pdf_text observed=2026-08-10T16:27:18.243599Z digest=sha256:ce854cb7f0f08d6cfe437890659a7d2ca2582b1f301203c35fbcda8c23bde178

Observation 6d0f0b1b-d20c-48bf-be75-0ded285bf4d5 · outbound

This paper cites part ii: implementation and tests in dune.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations part ii: implementation and tests in dune

Reference 17

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Observation dcdc5e9e-a8d7-421e-a07a-8fabdc20e41f · outbound

This paper cites SIAM, ??? (2002).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations SIAM, ??? (2002)

Reference 18

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verified fuzzy
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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.

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Observation 73ad7ed5-1775-401e-a3bc-d53cf26b9599 · outbound

This paper cites In: SC’12: Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis, pp.

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

Resolution
verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 7aed7a1a-ba40-4ae6-a103-8d2f558fbab7 · outbound

This paper cites Springer, ??? (2011).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer, ??? (2011)

Reference 20

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verified fuzzy
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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.

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Observation 576b7779-7552-4b74-84b5-2cec638ae357 · outbound

This paper cites John wiley & sons, ??? (1991).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations John wiley & sons, ??? (1991)

Reference 21

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verified fuzzy
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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 4cca623d-5abd-4a4f-ab62-c48b671342d2 · outbound

This paper cites Journal of Vibration and Control17(13), 2050– 2058 (2011).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Vibration and Control17(13), 2050– 2058 (2011)

Reference 22

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verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.258729Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 9f7e6aec-eb80-4ac2-8ddc-1844df81174b · outbound

This paper cites MIT press (2016).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations MIT press (2016)

Reference 23

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation e9468f9c-8c29-49ef-87fc-117a7bc4b2d4 · outbound

This paper cites nature521(7553), 436–444 (2015).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations nature521(7553), 436–444 (2015)

Reference 24

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no resolver link, observed 2026-08-10T16:27:18.416460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.416460Z digest=sha256:fdfd2fcf7420c655a4a639aee0c559fe3c96fc3bf2a9fc67df4db953f10cad60

Observation cebc5f92-2a7e-4c42-92a7-da8a1bfa561e · outbound

This paper cites Journal of Computational physics378, 686–707 (2019).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational physics378, 686–707 (2019)

Reference 25

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no resolver link, observed 2026-08-10T16:27:18.421215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.421215Z digest=sha256:b277943b8c01de2d84d8741e14ae9a5acb3802d492cdb9f6467b53e5338bee40

Observation 5b928bb6-9e22-45f5-ad72-8e3aee7adca3 · outbound

This paper cites Nature Reviews Physics3(6), 422–440 (2021).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Nature Reviews Physics3(6), 422–440 (2021)

Reference 26

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no resolver link, observed 2026-08-10T16:27:18.426182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.426182Z digest=sha256:7133cbbc7a97b407469972c0dcc19d363396c43df28ac36c5107e8b9bb2e6b36

Observation 1aa93286-b4e5-45c9-b5dd-68fdcc31174b · outbound

This paper cites SIAM review63(1), 208–228 (2021).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations SIAM review63(1), 208–228 (2021)

Reference 27

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verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.195969Z

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.

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Observation 43380d76-fbfe-4737-803c-c04bd87378f4 · outbound

This paper cites Journal of Computational Physics357, 125–141 (2018).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational Physics357, 125–141 (2018)

Reference 28

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verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.179311Z

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.

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Observation d2c915a7-7697-43bc-8d5e-2985c2fe094f · outbound

This paper cites University of Notre Dame, ??? (2019).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations University of Notre Dame, ??? (2019)

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.163245Z

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.

source=pdf_text observed=2026-08-10T16:27:18.440067Z digest=sha256:e5592b8e82fdbd282ad75245fe85adc1d508022f5916f8391a655b240faa6d56

Observation 42e89642-a779-453b-9fef-c0097a78d421 · outbound

This paper cites Neurocomputing317, 28–41 (2018).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neurocomputing317, 28–41 (2018)

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.146918Z

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.

source=pdf_text observed=2026-08-10T16:27:18.444620Z digest=sha256:0e7c2d4fda5d3fb90bc802e712fc7dac132cfe76077e9510283b7794bf1a92b7

Observation 506c9dba-a930-4bee-a74d-c3c087fe86c3 · outbound

This paper cites Journal of computational physics375, 1339–1364 (2018).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of computational physics375, 1339–1364 (2018)

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.131583Z

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.

source=pdf_text observed=2026-08-10T16:27:18.449760Z digest=sha256:ee804123085967628cd9dd6913a3ca5bfa9805a706f9de1a4cabf3c9e0eb8a00

Observation 14f39d75-293b-45c8-9063-2bc300ae3c7c · outbound

This paper cites Proceedings of the National Academy of Sciences115(34), 8505–8510 (2018).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.115688Z

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.

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Observation 8f45ea4c-ea00-4626-80f8-a335aa089465 · outbound

This paper cites In: Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition, pp.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.100057Z

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.

source=pdf_text observed=2026-08-10T16:27:18.459235Z digest=sha256:e6d80d9012fe6fef9970c74256719b9aa917b023a1a9059fe764b4e2a16a1fdf

Observation bf2f98ed-fb40-447e-a0f1-4fd03e55c984 · outbound

This paper cites IEEE transactions on neural networks5(2), 157–166 (1994).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations IEEE transactions on neural networks5(2), 157–166 (1994)

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.085068Z

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.

source=pdf_text observed=2026-08-10T16:27:18.463782Z digest=sha256:494cda6b1fbd5241b0deeed2a50f8f68da59112866ce74725b14b60a72c648ad

Observation 4a035ec2-1dea-461e-82f1-b39b2bc90f83 · outbound

This paper cites International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems6(02), 107–116 (1998).

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.068764Z

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.

source=pdf_text observed=2026-08-10T16:27:18.468289Z digest=sha256:e85e7a5252345d0d314f13630193198187e517dced3f72521fabf1c62f2100d8

Observation f102451b-6150-467c-aad3-88ae51750e63 · outbound

This paper cites On the Stability and Convergence of Physics Informed Neural Networks.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations On the Stability and Convergence of Physics Informed Neural Networks

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:18.473230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.473230Z digest=sha256:10ecfae4909cf37a3da4d9bc46cfa51c16b52ea98a4a183684a8c50860fcb8be

Observation 6344ff61-3267-40d9-a82a-51950d4ba270 · outbound

This paper cites Journal of Computational Physics462, 111260 (2022).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational Physics462, 111260 (2022)

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.053435Z

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.

source=pdf_text observed=2026-08-10T16:27:18.478340Z digest=sha256:2aeb61a02c3ef6bda0ee3d5c9a05b4b9b30e28c103f7271f9fa083792255fcee

Observation f234257b-8ab3-4a5f-9fe7-90a940bb07d4 · outbound

This paper cites Journal of Computational Physics474, 111722 (2023).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Journal of Computational Physics474, 111722 (2023)

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.036912Z

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.

source=pdf_text observed=2026-08-10T16:27:18.483163Z digest=sha256:c0b8b253003aef9eb499979ec28a9279ec733f03766936d269cbde29d61e4dad

Observation 53fbf1a1-9073-4ebf-9a54-145ed3c7ab03 · outbound

This paper cites PINNIES: An Efficient Physics-Informed Neural Network Framework to Integral Operator Problems.

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

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T16:27:18.755163Z

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.

source=pdf_text observed=2026-08-10T16:27:18.487852Z digest=sha256:54f91816a53add3f3e7ef733907568c3c1dba06516e1c8f6b1931dda7787ba9e

Observation 55a18df4-812a-4f21-8b9d-dfe49efe5409 · outbound

This paper cites IEEE Transactions on Antennas and Propagation56(8), 2442–2452 (2008).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations IEEE Transactions on Antennas and Propagation56(8), 2442–2452 (2008)

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.019823Z

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.

source=pdf_text observed=2026-08-10T16:27:18.493024Z digest=sha256:72eb93d8ad272feb05ceb9e5cd17c3039ef4fc2f63d267611162eaaa33530d5e

Observation e1b29fb6-c5fb-46ba-99f0-4db28b82ec4a · outbound

This paper cites Superconductor Science and Technology21(10), 105008 (2008).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Superconductor Science and Technology21(10), 105008 (2008)

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:19.002893Z

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.

source=pdf_text observed=2026-08-10T16:27:18.497710Z digest=sha256:8993675c76f4298a3fc30dd1824932919699b3871b039742b578e692f18045a9

Observation 009f8805-5309-4644-a792-bf1529662beb · outbound

This paper cites Springer, ??? (2024).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Springer, ??? (2024)

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.986328Z

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.

source=pdf_text observed=2026-08-10T16:27:18.502312Z digest=sha256:70c0789f088df7e283c67cd2ad46a340b9a7ab65c5e18264197f3cf167108ed8

Observation a16ad28c-1202-4f3d-9aad-3dee05c9e790 · outbound

This paper cites Journal of Scientific Computing 90(1), 35 (2021) https://doi.org/10.1007/s10915-021-01714-6.

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

Resolution
verified exact
doi, observed 2026-08-10T16:27:18.699138Z

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.

source=pdf_text observed=2026-08-10T16:27:18.506889Z digest=sha256:c66c9d7265d5fb3e97fb91898f6f8c78a1c8f14b937b57e81b81167bd7ffa27e

Observation 8a0044aa-3741-411e-a9fb-2095a5b3c461 · outbound

This paper cites Earth, Planets and Space70(1), 103 (2018) https://doi.org/10.1186/ s40623-018-0876-7.

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

Resolution
malformed identifier
raw_fallback, observed 2026-08-10T16:27:18.970236Z

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.

source=pdf_text observed=2026-08-10T16:27:18.511830Z digest=sha256:a99bacb490253b3c2a7309d20e080b052b76a6672b55316f7963b5dce719ff0f

Observation f0808dee-8efc-4ca0-8c5c-52520c3d5775 · outbound

This paper cites Archives of Computational Methods in Engineering29(6), 4431–4453 (2022) https://doi.org/10.1007/s11831-022-09740-9 27.

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

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:18.516520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.516520Z digest=sha256:41f76aacbb5ef6e6e9fce97cf9d0bf034ae31ed9d380bc915b6cdf5aa6e416e1

Observation f1001282-e875-451f-85c8-3a6def1612a0 · outbound

This paper cites Archives of Computational Methods in Engineering31(5), 2945–2984 (2024) https://doi.org/ 10.1007/s11831-024-10063-0.

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

Resolution
verified exact
doi, observed 2026-08-10T16:27:18.667350Z

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.

source=pdf_text observed=2026-08-10T16:27:18.521127Z digest=sha256:42f5095ce0e087b97ffe63dcbbc4beb2474b0f5c682ac35ab4bc577ae88f75fa

Observation fbe9ae58-89e1-4763-956d-aed498b92e66 · outbound

This paper cites Mathematics 11(21) (2023) https://doi.org/10.3390/math11214418.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Mathematics 11(21) (2023) https://doi.org/10.3390/math11214418

Reference 47

Resolution
verified exact
doi, observed 2026-08-10T16:27:18.649470Z

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.

source=pdf_text observed=2026-08-10T16:27:18.525548Z digest=sha256:4250349f06965b638d28420a847bfd265412b594d3e1c53fe111dfbab79cb40a

Observation dfa7b235-ae37-4c3b-8bd0-0b789e262808 · outbound

This paper cites Neural Computing and Applications21, 843–852 (2012).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neural Computing and Applications21, 843–852 (2012)

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.953886Z

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.

source=pdf_text observed=2026-08-10T16:27:18.530089Z digest=sha256:9fbff7b3412dd5e889db0e97587b9520c418006469894d600b6503aed07f2459

Observation 5db7cbc4-6cb3-4b19-b67e-499954ab2708 · outbound

This paper cites Iranian journal of fuzzy systems11(1), 91–112 (2014).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Iranian journal of fuzzy systems11(1), 91–112 (2014)

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.936172Z

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.

source=pdf_text observed=2026-08-10T16:27:18.534394Z digest=sha256:34995389bf34b200288e6266de421569c8665ba59d07a0a9626ea6a45f88e2db

Observation 6565940c-ddf5-4e71-80ba-37eab5d26702 · outbound

This paper cites Applied Soft Computing 27, 391–398 (2015).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Applied Soft Computing 27, 391–398 (2015)

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.918890Z

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.

source=pdf_text observed=2026-08-10T16:27:18.538614Z digest=sha256:48e7bfe665513823d967d93137e5ea26bac7b1e9ecf8d587b438e02d8929039b

Observation 4ed757ee-97d9-4006-bd6a-70e2336d8e5b · outbound

This paper cites Mathematical Sciences 8, 1–9 (2014).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Mathematical Sciences 8, 1–9 (2014)

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.902537Z

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.

source=pdf_text observed=2026-08-10T16:27:18.543020Z digest=sha256:2e82f022ddd51ac7726df6f50a0dd3aee984554933755c2312dc15157eaf8a59

Observation ea224ee1-1def-4cef-9a9c-a8a3dadb4392 · outbound

This paper cites an unresolved cited work.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:18.884917Z

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.

source=pdf_text observed=2026-08-10T16:27:18.547421Z digest=sha256:3ce9dc6df7264efea5e95d486bf745a437ccdceaaaea0daeafe0656452c34264

Observation 0b3e1842-5dd8-4cfd-b422-6339a7026268 · outbound

This paper cites IEEE Transactions on Antennas and Propagation70(8), 6135–6147 (2021).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations IEEE Transactions on Antennas and Propagation70(8), 6135–6147 (2021)

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.868337Z

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.

source=pdf_text observed=2026-08-10T16:27:18.552644Z digest=sha256:344bf9c6203b800973694083980ed43dafaf691c6756fa171d444d31917cb1eb

Observation f007a086-1ca5-42a6-b05a-f3b04e5a156a · outbound

This paper cites Nature Machine Intelligence3(3), 218–229 (2021) https://doi.org/10.1038/ s42256-021-00302-5.

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

Resolution
malformed identifier
no resolver link, observed 2026-08-10T16:27:18.557116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.557116Z digest=sha256:065b80a0c7c514a618110bdaaed5cf063559fbfb4e5e2a57dd994cd108f6eaf6

Observation 18e80ed6-bbcf-4089-b11e-be3c7ffd52f1 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Fourier Neural Operator for Parametric Partial Differential Equations

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:18.561473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.561473Z digest=sha256:74cd4c284e248701937100f63118f0541bd9812eb6547c5ab3d8de0e78cf8ad0

Observation e4e6c466-64c3-4665-9417-d9194ca9acce · outbound

This paper cites an unresolved cited work.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-10T16:27:18.839128Z

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.

source=pdf_text observed=2026-08-10T16:27:18.566960Z digest=sha256:971e24308bbd5c13bcebe2f91cc107aa0eda41f5317d1a7d1c8904444b951c72

Observation 092ce49f-f735-44a5-a91a-25631f32c3fe · outbound

This paper cites Information Sciences612, 887–897 (2022) https: //doi.org/10.1016/j.ins.2022.09.017.

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

Resolution
verified exact
doi, observed 2026-08-10T16:27:18.630022Z

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.

source=pdf_text observed=2026-08-10T16:27:18.572101Z digest=sha256:cf3fd657ed0bbc10d9bba4b8131f7102d628f37fbd6b925bb3ca8c34aa2015f4

Observation 2c15d01d-49bf-4837-9598-bbb963c57373 · outbound

This paper cites Neural networks3(5), 551–560 (1990).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neural networks3(5), 551–560 (1990)

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.821844Z

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.

source=pdf_text observed=2026-08-10T16:27:18.577283Z digest=sha256:2e09ce6705f7ca1d4cc469bfe812204732c4e045cea04e0a6e35c40f5d9c7377

Observation 890a8002-5fe1-4198-89ba-739419d70601 · outbound

This paper cites Acta numerica8, 143–195 (1999).

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Acta numerica8, 143–195 (1999)

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-10T16:27:18.582356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T16:27:18.582356Z digest=sha256:c130c34f916e970e1629d51bb2ad3813fdecf5eb0d95ba3bbafafb5493c6d23d

Observation ae94c63e-45d7-4e74-9bff-43508d16fe0c · outbound

This paper cites Neural computation8(1), 164–177 (1996) 29.

Advanced Physics-Informed Neural Network with Residuals for Solving Complex Integral Equations Neural computation8(1), 164–177 (1996) 29

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T16:27:18.794296Z

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.

source=pdf_text observed=2026-08-10T16:27:18.587917Z digest=sha256:008d67ae6a233e8aac0daa3e3d484a501c64f713dc0cbeb8e67307aabbc2957e

Pith citing papers

No inbound Pith citation observations are available.