Paper Citation Record · LEDGER

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks

As of 28 July 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2606.10686.

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pith.paper-citation-record.v1
2606.10686 v2

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T11:03:01.530146Z

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Pith citing papers itemized under the disclosed page cap.

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Source: cited_works

Reference resolution

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External citation measurements

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Outbound references

Observation e828a02e-c3a9-4391-8cf1-9232fbcf6d15 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering 421, 116805.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Computer Methods in Applied Mechanics and Engineering 421, 116805

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-27T11:10:51.827388Z

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Observation 1a5fc839-c196-4705-a77f-70577bb7eb93 · outbound

This paper cites M., & Levin, Y.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks M., & Levin, Y

Reference 2

Resolution: metadata mismatch; doi, observed 2026-06-27T11:10:51.810368Z

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Observation a289a16e-9f37-4eba-afde-b9d2acf870eb · outbound

This paper cites Particle acceleration in axisymmetric pulsar current sheets,.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Particle acceleration in axisymmetric pulsar current sheets,

Reference 3

Resolution: metadata mismatch; doi, observed 2026-06-27T11:10:51.837608Z

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Observation e194725a-2c94-46a9-a354-2e2c5162d8fe · outbound

This paper cites 1999, ApJ, 511, 351, doi: 10.1086/306652.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks 1999, ApJ, 511, 351, doi: 10.1086/306652

Reference 4

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.839437Z

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Observation 593cf6ff-002c-48ad-9b18-bbd2be987f8e · outbound

This paper cites Astronomy & Astrophysics 705, A140.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Astronomy & Astrophysics 705, A140

Reference 5

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.808657Z

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Observation fdfee7b3-a019-4612-bfb9-4cd48508d894 · outbound

This paper cites Astrophysical Journal 187, 359–360.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Astrophysical Journal 187, 359–360

Reference 6

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.812030Z

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Observation efa5263e-5a97-46a3-a5f9-aa20c7505453 · outbound

This paper cites an unresolved cited work.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.841081Z

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Observation c7c33274-7f7b-4565-95f2-d5fa29674712 · outbound

This paper cites year = 1969, month = aug, volume =.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks year = 1969, month = aug, volume =

Reference 8

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Observation f4f6d744-d89d-489b-bdb6-e29a1efcb4ef · outbound

This paper cites J., Pilkington , J.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks J., Pilkington , J

Reference 9

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.804996Z

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Observation e875a803-7a22-404b-b582-4e3b588f4214 · outbound

This paper cites 8580–8589.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks 8580–8589

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-06-27T11:10:51.824750Z

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Observation b277e97c-8e7a-4a68-8680-d73c3f3d8f71 · outbound

This paper cites K., & Kazanas, D.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks K., & Kazanas, D

Reference 11

Resolution: metadata mismatch; doi, observed 2026-06-27T11:10:51.822448Z

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Observation 16256614-f9be-44be-8855-4394376fff2d · outbound

This paper cites A., okas E.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks A., okas E

Reference 12

Resolution: metadata mismatch; arxiv_id, observed 2026-06-27T11:10:51.803188Z

Source-reported events for the cited work

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Observation 556d584c-35d2-4175-8d37-040f3e4a028f · outbound

This paper cites Neural Networks 136, 112–125.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Neural Networks 136, 112–125

Reference 13

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.806887Z

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Observation 5b0e3ff6-0c6d-4b23-b616-faca2d429730 · outbound

This paper cites Physical Review D 107, 064025.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Physical Review D 107, 064025

Reference 14

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.813626Z

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Observation 6db6a497-d67f-419c-98c9-5b7fe43e1c00 · outbound

This paper cites Mémoires of the Société Royale des Sciences de Leège 8, 79–91.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Mémoires of the Société Royale des Sciences de Leège 8, 79–91

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T11:03:01.530146Z

Source-reported events for the cited work

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Observation bf8b3c13-c45b-493c-b5b5-339fbf2dd020 · outbound

This paper cites Philippov,A.A.,Spitkovsky,A.,2018.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Philippov,A.A.,Spitkovsky,A.,2018

Reference 16

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Observation 2742bcd1-07c9-49d5-a2fa-4bdc991a4c52 · outbound

This paper cites A., & Spitkovsky, A.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks A., & Spitkovsky, A

Reference 17

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.798689Z

Source-reported events for the cited work

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Observation c1f2814d-7081-45e6-9f6d-cb02a98b95e0 · outbound

This paper cites Journal of Computational Physics,378, 686–707.http://dx.doi.org/10.1016/j.jcp.2018.10.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Journal of Computational Physics,378, 686–707.http://dx.doi.org/10.1016/j.jcp.2018.10

Reference 18

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.819235Z

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Observation 02e4b2e7-50e9-47a3-9cb3-9e491b09b727 · outbound

This paper cites Physical Review Fluids 6, 073301.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Physical Review Fluids 6, 073301

Reference 19

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.815253Z

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Observation 8f99e3f2-0127-46cf-b285-13b65a11d462 · outbound

This paper cites Rigas,S.,Papachristou,M.,Papadopoulos,T.,Anagnostopoulos,F.,Alexandridis,G.,2024.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Rigas,S.,Papachristou,M.,Papadopoulos,T.,Anagnostopoulos,F.,Alexandridis,G.,2024

Reference 20

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.795424Z

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Observation 8695ff55-88d1-4e23-96b9-cd0575c14ca4 · outbound

This paper cites Deep learning-accelerated computational framework based on physics informed neural network for the solution of linear elasticity.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Deep learning-accelerated computational framework based on physics informed neural network for the solution of linear elasticity

Reference 21

Resolution: metadata mismatch; doi, observed 2026-06-27T11:10:51.797071Z

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Observation 7a087f29-268e-4810-8886-1594eda982b7 · outbound

This paper cites A comprehensive and fair comparison between mlp and kan representations for differential equations and operator networks.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks A comprehensive and fair comparison between mlp and kan representations for differential equations and operator networks

Reference 22

Resolution: metadata mismatch; arxiv_id, observed 2026-06-27T11:10:51.829905Z

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Observation 77466582-9bc1-4c7e-ae16-118574daaa52 · outbound

This paper cites Astronomy & Astrophysics 690, A170.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Astronomy & Astrophysics 690, A170

Reference 23

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.831442Z

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Observation 3192f506-38a4-4260-a566-9a4d06b56262 · outbound

This paper cites Monthly Notices of the Royal Astronomical Society 526, 1504–1511.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Monthly Notices of the Royal Astronomical Society 526, 1504–1511

Reference 24

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.791911Z

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Observation ae26c8e1-4939-4bfc-b648-f598fcfe7c3b · outbound

This paper cites Monthly Notices of the Royal Astronomical Society: Letters 435, L1–L5.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Monthly Notices of the Royal Astronomical Society: Letters 435, L1–L5

Reference 25

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.817064Z

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Observation 274a2b50-87a3-4d76-9140-82f6b90fe2a0 · outbound

This paper cites Toscano, J.D., Wang, L.L., Karniadakis, G.E., 2025b.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Toscano, J.D., Wang, L.L., Karniadakis, G.E., 2025b

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-06-27T11:10:51.833873Z

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Observation 610e4077-a9b6-49cc-bad3-c6eb2155eca1 · outbound

This paper cites an unresolved cited work.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.789927Z

Source-reported events for the cited work

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Observation 30d16964-8345-414e-9c67-738c3c8740f1 · outbound

This paper cites Wang, S., Li, B., Chen, Y., Perdikaris, P.,.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Wang, S., Li, B., Chen, Y., Perdikaris, P.,

Reference 28

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.793577Z

Source-reported events for the cited work

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Observation 75d755cb-14c0-4a88-9fde-bcd96ae173f0 · outbound

This paper cites Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks.SIAM Journal on Scientific Computing, 43(5):A3055–A3081.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks.SIAM Journal on Scientific Computing, 43(5):A3055–A3081

Reference 29

Resolution: verified exact; doi, observed 2026-06-27T11:10:51.800541Z

Source-reported events for the cited work

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Observation 4b5c595d-d637-491e-9202-5bacf5eaaca1 · outbound

This paper cites When and why pinns fail to train: A neural tangent kernel perspective.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks When and why pinns fail to train: A neural tangent kernel perspective

Reference 30

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Observation f6c5e448-80f6-4f66-8648-4cdfce2a1ff5 · outbound

This paper cites URL:https://openreview.net/forum?id=ydlDRUuGm9.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks URL:https://openreview.net/forum?id=ydlDRUuGm9

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-06-27T11:10:51.788173Z

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Observation 9cb1becc-e9cc-4fd8-ba7d-554965c30312 · outbound

This paper cites an unresolved cited work.

An adaptive framework for the axisymmetric pulsar magnetosphere using physics-informed Kolmogorov-Arnold networks Unresolved cited work

Reference 32

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Source-reported events for the cited work

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Pith citing papers

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