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Paper Citation Record · LEDGER

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs

As of 15 August 2026, this Paper Citation Record lists 100 of 104 outbound references and 4 inbound Pith citation observations for arXiv:2506.07958.

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

pith.paper-citation-record.v1
2506.07958 v1

Coverage vector

measured 100 of 104 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:26:44.755490Z

measured 104 of 104 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T14:50:24.712474Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T08:19:44.121977Z

Reference resolution

100 of 104 outbound references displayed

  • verified exact0
  • verified fuzzy30
  • unresolved70
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 85cadd0b-0035-4907-bd08-c8ffe4d7aa83 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.423929Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.423929Z digest=sha256:b82a7196d84151911255ab9b8261bc00bf5d37f1146445729f8fde2df785a91f

Observation 7f343c6a-6c5a-4c4c-8593-be27a0e6d879 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.428049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.428049Z digest=sha256:376a5e50790c5cc58ab77d7d745da8215ca2d2d8dd960d75c8447ef70f2bf0f7

Observation 2766566c-75b1-41a9-b586-6a4c7a8255fa · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.431460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.431460Z digest=sha256:dee8af0fbdcc549b9180110ba2b0906088332e3ed7a33558888d7cbeeddd2069

Observation 31e01d1c-5db6-460e-8f17-3804675b9e1c · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.435629Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.435629Z digest=sha256:9af74a68f99f5119cc37e3bab133ea2acbfd44249b1a7160d7e7b0b576b93c69

Observation f21c5248-5d53-4dc0-923e-b3e4d189f3e6 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.439398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.439398Z digest=sha256:e03b85906f54d9a34ec5c180b49e4332e7aae05fc58e6649891592a13d8b70c6

Observation 66e39a69-3b29-49c2-b79e-b48839d12df3 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.442731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.442731Z digest=sha256:a6f21d7db1f0b7a17593261163af3f94ccac49c480429a3627f8e85c320564fd

Observation c2c8c230-0c1d-44ac-8786-15386911c6de · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.446326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.446326Z digest=sha256:69e7541e440336cfc4177bdd8c80b9b4b9a2f8df59ebc29a0d6b5a484b59a02d

Observation 80bae486-697b-413c-8e5b-ecc6dd29cdf3 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.449514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.449514Z digest=sha256:9d00d84dcd026be6b1500627d8028a7898cc6556d8d3bd357278cfdf1bea648d

Observation e244fa80-0aa0-408b-8afa-8b1ee1817b46 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.452927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.452927Z digest=sha256:a7f44f7b9a483ec1481b5f1121d00822d752d756554e7affcf194112cc1716bb

Observation e1252665-3eed-4cb2-a0eb-2acae87b78f8 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.455888Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.455888Z digest=sha256:8ac1055791ee5ea094c5ce32353a88545dd5eb34887190ce28aa08b2908f5484

Observation b52af931-3d47-4320-abda-08594b7662e4 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.458899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.458899Z digest=sha256:9cb5c0bc94f21739535b5b1cf8cb285ed41085aee68654b2bd48dc6122a23b0e

Observation 61f65e79-a03d-4211-8341-09e3034fbe05 · outbound

This paper cites Heinlein, A.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Heinlein, A

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.462133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.462133Z digest=sha256:b848ab1669c9062914ce29667880b3ecee06732256476c67b33295a590dfe7fe

Observation 0339bfc8-9ff8-476a-bcca-1ad8688f79d6 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.465142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.465142Z digest=sha256:dc350ee94d14c2e029156ee7c188aba01494c017c2ad0a1bf763870c8caf1263

Observation c3d6b84d-1f9f-4e19-bb0d-5604df59924f · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.468262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.468262Z digest=sha256:d21e6d638555ed805f7a670ca08bf1785b5764404d2bbba4df782740951191dd

Observation d6ac931d-c9f1-45ef-8231-9fa389459dca · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.471158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.471158Z digest=sha256:47e61a4faec3ce2c7b760aa2a6da0136d3436a1832b9b0dde68416082e28309f

Observation 476edb08-d5b7-4cbd-9f75-46f9c0d5a194 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.474439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.474439Z digest=sha256:917f4a16a4b08451a724353787fb2c021f6e9366842b231b3004dc586b892059

Observation c0c72e72-65ce-47e1-bc58-725768cd635e · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.477508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.477508Z digest=sha256:bfb8d58b9348dc36e27e9a10bef8bb71d1d152b616846c83397ec24cd44cbb5d

Observation 11fa6a8a-005a-40b4-a01b-94ba9953ee46 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.480834Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.480834Z digest=sha256:b0660969b954464c2b5918fc7d42ffd76214838ef38b293cca2c9c25b1db231f

Observation ffd7b4c5-bb9b-4d87-afa9-2d3f33e93ca5 · outbound

This paper cites Weiss, M.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Weiss, M

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.483960Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.483960Z digest=sha256:dc1e077414577b6fe2c306487df7c1b709f5984997f39f822952d30943f0d8be

Observation fb8ba24c-9b82-468f-ad60-79b98fee77c0 · outbound

This paper cites Raissi, P.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Raissi, P

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.486974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.486974Z digest=sha256:d0d3bdd729c3d0a09a036f2c11f0d25395e2de93f82b3c55768fcc0895cbe146

Observation da63f662-27eb-4d32-b6c9-99f1644c676e · outbound

This paper cites Raissi, G.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Raissi, G

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.490428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.490428Z digest=sha256:6f9756c15c50978db7c544e6ca0cd3667aa65d8c10af2f12c91d27b9d5887864

Observation a12e5590-a572-416d-a8ba-40d8f10d340b · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.493462Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.493462Z digest=sha256:379baead5ab9beb887349094f077131fc261175c6dc8be546413ca9adbd85cc1

Observation ada93c7b-e2a6-4eba-a9a8-96c0b1382377 · outbound

This paper cites Mostajeran, R.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Mostajeran, R

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.496611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.496611Z digest=sha256:12db03eb9e46be204e5ce498547665bd8a51971880664cfd6714803154784cc5

Observation a78f00b5-0364-4202-acaf-659daf8d4a93 · outbound

This paper cites Hanrahan, M.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Hanrahan, M

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.499787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.499787Z digest=sha256:f869102157806cc41abac710aa77945c90a87e5e3a1237cee85430a645531d60

Observation d4c2ed5b-a46a-47d6-915f-7f79282a3c97 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.537363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.503049Z digest=sha256:1a6a903d2d25621beb7e766698d119df21abb7fdda7a2b9de21696cc2f723624

Observation b40008b4-285a-4dd2-9b57-6cff166451fd · outbound

This paper cites Yazdani, M.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Yazdani, M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.527808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.506080Z digest=sha256:4b9443f39233221f8cfab9067bc48d9873e5f4e417ca8be054ec533914442a12

Observation a1e42601-b040-4d24-a2a7-11057eac328d · outbound

This paper cites Gafoor CTP, S.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Gafoor CTP, S

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.518355Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.509201Z digest=sha256:db35897c35ff2feb541f2560d0c2d4b00ffce322151ba8f9bea594eaba8d570a

Observation 1fc75b48-dd50-44ec-8992-e162f00d14f9 · outbound

This paper cites Mahmoudabadbozchelou, G.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Mahmoudabadbozchelou, G

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.508944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.512735Z digest=sha256:a7c1f30cb9372e8a64516e5dcda46a7c77271c240b4d19769a8fd859633b3202

Observation 46fa7999-f6b0-4379-9449-97c355505d35 · outbound

This paper cites Thakur, M.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Thakur, M

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.499236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.515798Z digest=sha256:be3f2f361cef21e0d629f6960b67a1733292f194b7ebdb109fa9ef20a307fd39

Observation 005b6b4b-1a57-47c4-85c6-bb534dbca3eb · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.489613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.518883Z digest=sha256:111f49a1bd59d8b6ff76b45df1c233286f3a1ff66840c42c79788296e7562fef

Observation a3043ad6-ca69-4c57-9af3-24f792b4841d · outbound

This paper cites Arzani, S.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Arzani, S

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.479407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.522640Z digest=sha256:68aba5f58c7a9cac5e367ede1f649f06be3f53b463f4a259ba460dfa179f4faa

Observation a238c6f5-9d36-418f-897d-2d92b40fe724 · outbound

This paper cites Zhang, B.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Zhang, B

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.469068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.525792Z digest=sha256:9687d6d607634bce6589e0065180281ca2a8c65e881dc31935f168cd9cb0ab0a

Observation 53d1325e-b26c-4d47-9931-a4936f3fdc40 · outbound

This paper cites Rasht-Behesht, C.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Rasht-Behesht, C

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.459523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.529031Z digest=sha256:d161f42630b2f69e273f0f3ceac52369ce56633894bb7f1d9b637d4f01683404

Observation 4adbaf27-b797-47ec-9a9a-158e15935973 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.449856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.531965Z digest=sha256:19c490d56be933b1b4749567b5ece7e5529533dab325ef3b3d91a82b1f6a6478

Observation 5589e2c5-ccaa-4119-b77b-e6d0bf7d3f9a · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.439204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.535519Z digest=sha256:3873cf96d61d427241fbd11829e6ccfa2b4778dbbec2e7a4bc2a1f2373870532

Observation ed424c6f-1caa-4c26-b6fe-88d71c871f30 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.538904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.538904Z digest=sha256:f0a129a812b97583b40f41da051d0e6ba8b5ef837948bffe2d005bd00b4d0732

Observation b0c3adaf-44eb-4fab-a3f2-848c79115ebc · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.422275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.541988Z digest=sha256:b3dc192707f96e30579424b08ae5a656b18ddd986f3fc68f78f925f72df4df96

Observation 99e2ba46-95f6-46d8-bbde-5c29dec18b49 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 38

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raw_fallback, observed 2026-08-07T05:26:45.411243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.545208Z digest=sha256:a42d1f5845d6bba57d7d56145c49c0cf4531d999fad751e85e9669c9339395e0

Observation 2b263d8e-6a3e-439b-8c98-d479b75215f4 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 39

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raw_fallback, observed 2026-08-07T05:26:45.399834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.548485Z digest=sha256:6ceead00ff9dfa1ae412311cc1a1a11e9a50e01dfd2e4a3963a4704455aec04f

Observation 34a0febd-bbcc-4b05-aee2-ece3a4af25dc · outbound

This paper cites Mishra, R.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Mishra, R

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.551974Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.551974Z digest=sha256:411b8dd6e57b6c54f0935fc3a6da488852a2044ec380c05cd56f48671b47e4fb

Observation 1293ebbd-0f1d-47b1-b254-44c8c6fd3520 · outbound

This paper cites Krishnapriyan, A.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Krishnapriyan, A

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.382212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.555040Z digest=sha256:0eb29936809abaca407dd2c58210db46eab8ad64d448e51e4746a69301400e54

Observation 2611026c-dff2-41de-8a1a-ecbe8d3469d8 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 42

Resolution
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raw_fallback, observed 2026-08-07T05:26:45.371654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.558011Z digest=sha256:c297db9253dec83ba7b8b41d2525128cffadc94bfdf2399d0637fa30344ce03e

Observation b0a95646-6a7f-401b-88e5-057eb5fc5989 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.361556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.561152Z digest=sha256:f45d2ed77f4e216efaf8384b8267e40c375a005fac8e940ab3fc2903835537d2

Observation 26bdec3a-1e32-48a3-a1ab-931d5d42ceed · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.351767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.564885Z digest=sha256:0c68f882d0f93b9294c316abb19a552e30ff88406326c554ba1f9edbe1206e06

Observation a056a565-5792-4060-b33a-053e11b278dc · outbound

This paper cites Basir, I.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Basir, I

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.341787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.568545Z digest=sha256:92ad098b13ab4dc005e588d0c926e45da3d3e6795ba042bd899dd6c434b9897e

Observation e8bc0c52-5ff9-4fe5-ae30-3b1314339368 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.571687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.571687Z digest=sha256:7018f0b03919c4c5d150757e0dd17968137354423e7823e107e735227dca4f1c

Observation a8a73d72-7cbf-446a-8362-8f5e32647e40 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.326602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.574837Z digest=sha256:831031f61cfe588cc52d0374404d4a3c1537c9dc8562c5d1b93e0f1fc2120a00

Observation 24ea047f-1839-4ac4-8495-54796a41953b · outbound

This paper cites Arnold, On the representation of functions of several variables by superpositions of functions of fewer variables, Mat.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Arnold, On the representation of functions of several variables by superpositions of functions of fewer variables, Mat

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.316460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.578245Z digest=sha256:12ad7c924d0b284e3382780b3a34d755a80c277dd19b425da6db73e3f08e0d14

Observation 10d7c5fa-9301-435d-b657-d323072fcc51 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs KAN: Kolmogorov-Arnold Networks

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.581889Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.581889Z digest=sha256:abce22894709f92867a41eccf52a74a3644f2ca1a773d7df8b4f7d602834fa59

Observation 91974b0c-7788-4676-b8e3-d056b9031a9f · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.306522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.585477Z digest=sha256:2f0c349c7973c7bae29c84e1f6b74b9a10939ee2a3f511e154f9d2d9dc37e9d2

Observation 64dc58be-c785-4599-81ad-fb27f90d2ef1 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.297337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.588567Z digest=sha256:842eabd5a27dd240825f4392d81994618ef14b547a973803571db72f54cd1d2f

Observation 4cc2fca8-0f2e-46ca-aa38-ae6ab8c55d0a · outbound

This paper cites Shukla, J.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Shukla, J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.287366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.592045Z digest=sha256:f82c0285393960da96d98384971c34943ed4e1b6acbbe11ff34d0a690be2c96e

Observation d8664069-af23-4731-a8a2-56d6d6df7d13 · outbound

This paper cites EPi-cKANs: Elasto-Plasticity Informed Kolmogorov-Arnold Networks Using Chebyshev Polynomials.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs EPi-cKANs: Elasto-Plasticity Informed Kolmogorov-Arnold Networks Using Chebyshev Polynomials

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.595126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.595126Z digest=sha256:e37a03cd059c617f1b94fa517a9fc905e45d7a376d78a2519ad99b6380a3ac32

Observation 661b85ea-6de3-482c-a4f6-76fde5dbefc6 · outbound

This paper cites Mostajeran, S.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Mostajeran, S

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.277883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.599392Z digest=sha256:25b3184d348c1a5060479a04da51c528c4d7cae18fea7e12bf38dc383fac6801

Observation feeb1fc0-3431-4b76-8c39-7f459f71990e · outbound

This paper cites Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Chebyshev Polynomial-Based Kolmogorov-Arnold Networks: An Efficient Architecture for Nonlinear Function Approximation

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.602607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.602607Z digest=sha256:dad70d0066a91236af67555b70a6100448cb240656d21b04e30ab0569b2aaf3b

Observation 0436deb7-4691-43ff-80fd-97411a427527 · outbound

This paper cites Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Physics-informed Kolmogorov-Arnold Network with Chebyshev Polynomials for Fluid Mechanics

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.606135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.606135Z digest=sha256:9bb7c9fa2e05098d83e6153866f1be8b6553417f8c1f7f9ca620532f85c83c02

Observation 8cb8933d-374f-4474-847c-8a55e7bd468f · outbound

This paper cites Jacot, F.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Jacot, F

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.268614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.609663Z digest=sha256:6c7300f1f9748835fd85af8f0084e3ecbf3764c1e55d8b4ad0b5976fae766e5d

Observation 2a054a39-7fab-466e-b6eb-9c089147b4a8 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 58

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.258887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.613134Z digest=sha256:8144d0f4e637f10cee5504e9fc1c441aff600c0ddfa2db9f2c441a39ec459d72

Observation 2f362c9e-6073-4ed6-bc42-1f9a9f203b1f · outbound

This paper cites Seleznova, G.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Seleznova, G

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.250080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.616976Z digest=sha256:04d812658d881bfe4ee73f7f0db423ce2031409b677944957690be5be068655a

Observation 918d457f-42f3-4574-8466-48f3a8a70dd2 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.620349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.620349Z digest=sha256:fc2e863e44794a0c13fb35f5b80725dad64dc5f30b6a4613e1af713b7cb75900

Observation 743bd60e-054c-4c31-9cb5-99497c487faa · outbound

This paper cites Neural tangent kernel analysis of PINN for advection-diffusion equation.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Neural tangent kernel analysis of PINN for advection-diffusion equation

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-07T05:26:44.623735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.623735Z digest=sha256:b431c7f8eef6f563f2349cb2d01de578153a6489a6c3894e34de36e8f87e68a5

Observation b1f019da-6240-4069-bc9a-81a85a421d37 · outbound

This paper cites Arnold, On the representation of continuous functions of three variables by superpositions of contin- uous functions of two variables, Math.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Arnold, On the representation of continuous functions of three variables by superpositions of contin- uous functions of two variables, Math

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.235576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.628488Z digest=sha256:e9df1dd5cccccea1ad85759322494e70393b587fb144dd80f061367ace84b273

Observation ae004d13-b339-4fd9-b422-0a37756730b8 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.226419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.631958Z digest=sha256:483f57c3a1589860138a9686683e27461ca5d1e525edcdc6a94bc3256978a9a4

Observation e8251fba-259c-4ab1-89e2-40ac698f42fa · outbound

This paper cites Lorentz, Approximation of functions.-holt, rinehart and wilson, Inc., New York (1966).

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Lorentz, Approximation of functions.-holt, rinehart and wilson, Inc., New York (1966)

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.217360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.635689Z digest=sha256:9621190a02e8577714e6949de1becd6a39eef8eea5ea064e99910540ad109800

Observation 5f5a458d-ac95-46cb-b373-8439bae00921 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.207432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.639372Z digest=sha256:18bd759eab01bf37aafaf64786bb012c38070744e568635cb57ef349bc8fe139

Observation fb3e3102-38a0-495d-a0bc-8a9ee30cd9ab · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.198182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.642930Z digest=sha256:219e1c907de865056bde77e704f558a137a83f3fd4a5f6d20eeb2a598cf203de

Observation 4df3c07a-3e5d-4a74-b668-ca3c6524d785 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 67

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.189117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.646240Z digest=sha256:d27033f643be5ad5afef3d53373de98a92266a7e06a7c9f1fea4b9bd071d0675

Observation 31deb71d-6d48-49c9-b6b9-2a1aa50b91ef · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.179239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.649645Z digest=sha256:5f49739af5cf60142e2fd9f8f7a8891d3f1964342d6c287d0d7c2a01d4a61972

Observation 22aa6903-8479-4ac0-b1ff-5700252ad3dd · outbound

This paper cites Hecht-Nielsen, Kolmogorov’s mapping neural network existence theorem, in: Proceedings of the international conference on Neural Networks, Vol.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Hecht-Nielsen, Kolmogorov’s mapping neural network existence theorem, in: Proceedings of the international conference on Neural Networks, Vol

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.169322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.652671Z digest=sha256:91a2f3acaf5673b0880d97e07b22c9f79f5f3afaa9c9cce5eb45d8ee29d5ec3f

Observation 67ee9976-d69d-45c3-bd6c-2fe801392a63 · outbound

This paper cites Kůrková, Kolmogorov’s theorem is relevant, Neural computation 3 (4) (1991) 617–622.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Kůrková, Kolmogorov’s theorem is relevant, Neural computation 3 (4) (1991) 617–622

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.159398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.655857Z digest=sha256:27e47aa61bdd4728d7acbb0c9c495d9f7b24bd0bb1b44d3444afd145027a4848

Observation 5a39165a-e3ba-4766-b8a3-aefad5c1b443 · outbound

This paper cites Kůrková, Kolmogorov’s theorem and multilayer neural networks, Neural networks 5 (3) (1992) 501– 506.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Kůrková, Kolmogorov’s theorem and multilayer neural networks, Neural networks 5 (3) (1992) 501– 506

Reference 71

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.150022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.658924Z digest=sha256:b378d9ecf2cff2a322b1806600a6d26ab5f85f594eebbdb18cb7bf9dd595b050

Observation 99d496dc-db01-43cc-ada2-9d366acd065a · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:45.139351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 226d8ae6-3f6b-4c87-989b-9038a4a2b48f · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 73

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.665091Z digest=sha256:dcd6ef7b31d7a059dbfb7b6ee1ca1d6655a6b0d1d9585d83662d54c7080d7967

Observation 9092f300-6458-40c1-af91-e2e8d5324d6c · outbound

This paper cites Braun, M.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Braun, M

Reference 74

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raw_fallback, observed 2026-08-07T05:26:45.120160Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.668943Z digest=sha256:e3fa8f36fc5823a73329952a81ccfc4609baf2bd02ea88e54d0741788d07f8eb

Observation ee75e5a3-9d01-4763-b7cb-340560c42775 · outbound

This paper cites Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of control, signals and systems 2 (4) (1989) 303–314.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Cybenko, Approximation by superpositions of a sigmoidal function, Mathematics of control, signals and systems 2 (4) (1989) 303–314

Reference 75

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no resolver link, observed 2026-08-07T05:26:44.672084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.672084Z digest=sha256:6a7971e95c16b9e1ca905e3fad76655ed3ddaaec4f702ef599acdeccf4a1254b

Observation 203db174-346c-4f2e-9903-0128072efc0d · outbound

This paper cites Hornik, Approximation capabilities of multilayer feedforward networks, Neural networks 4 (2) (1991) 251–257.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Hornik, Approximation capabilities of multilayer feedforward networks, Neural networks 4 (2) (1991) 251–257

Reference 76

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raw_fallback, observed 2026-08-07T05:26:45.104792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.675432Z digest=sha256:67201802bdac3ef04b6cb4a0e44f73a64877a7ea9390fb8e559abb96e16b2c07

Observation 6572277b-942f-49ce-976d-cb256bac031c · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 77

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raw_fallback, observed 2026-08-07T05:26:45.095075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.678654Z digest=sha256:15da1ab6df9ad67708ba7fdda2c08edc95bfbfc10090f8cbab3018e9bd398794

Observation ca8aeef7-7b93-49a3-a2f9-244f89981c2e · outbound

This paper cites Telgarsky, Benefits of depth in neural networks, in: Conference on learning theory, PMLR, 2016, pp.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Telgarsky, Benefits of depth in neural networks, in: Conference on learning theory, PMLR, 2016, pp

Reference 78

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raw_fallback, observed 2026-08-07T05:26:45.085045Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:26:44.682103Z digest=sha256:9034ede72eabdb667c7108568f04688fbf898e3c9e986810c2d3164131d970dd

Observation c6a695e6-ec65-421f-af43-7231f6a88ce6 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 79

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raw_fallback, observed 2026-08-07T05:26:45.074742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.685230Z digest=sha256:b4f6097f0b96f0083f361fe76f161d22e1c83e4c0ef1c24ab5ee5a08c4dfb44c

Observation ef9c0e09-ba0f-4093-8a32-516bb138e9ed · outbound

This paper cites Schmidt-Hieber, Nonparametric regression using deep neural networks with relu activation function (2020).

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Schmidt-Hieber, Nonparametric regression using deep neural networks with relu activation function (2020)

Reference 80

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verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.065136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.688259Z digest=sha256:9a73f9ccd2594f6a4354635f67fec4788880ce6fc4dee46b1ce676dd35d2f763

Observation 38b558f6-cc06-4d49-927b-fa4d5bb2ab64 · outbound

This paper cites Poggio, H.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Poggio, H

Reference 81

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verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.054741Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.692201Z digest=sha256:40606e4d3d2c2e5f5aac1a689d7de812aff9fba1788c6827e5cc9f0c8ab8f7b3

Observation f0b764ea-0ac8-4bfd-abff-58584425979d · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 82

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unresolved
raw_fallback, observed 2026-08-07T05:26:45.044964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.695382Z digest=sha256:3c27837c01bf7f6fb8aac0ab622e2e6d674189368afab4fdcb94d6715f3ea6f5

Observation 20e2230a-6776-487c-9aa3-09486bce5409 · outbound

This paper cites Fakhoury, E.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Fakhoury, E

Reference 83

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verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.034636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.698576Z digest=sha256:8aafdeb6e8719b8cab11a21752d5c97c2e3e045e06f23e9620467a0653982a4b

Observation f0c5b9f4-44b6-4236-8f4a-4e5ee30b95a3 · outbound

This paper cites On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition Theorem.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs On the Optimal Expressive Power of ReLU DNNs and Its Application in Approximation with Kolmogorov Superposition Theorem

Reference 84

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no resolver link, observed 2026-08-07T05:26:44.702075Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.702075Z digest=sha256:df36156bed1d8cf2c9fdfa5e7c239997183e35fed2764554271eaa89a9a93eeb

Observation 7e2b075a-8485-4283-9b42-a130555c39fe · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 85

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unresolved
raw_fallback, observed 2026-08-07T05:26:45.024452Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.705657Z digest=sha256:962f431d7adb65c983351a0a4808fe858022cb7ed0be65def8ce67da753d8e22

Observation 6212f29a-a210-4ea8-af50-a2d3ce379b7a · outbound

This paper cites Chang, G.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Chang, G

Reference 86

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verified fuzzy
raw_fallback, observed 2026-08-07T05:26:45.013633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.709388Z digest=sha256:054f818625b967552b527daea267101e44ad0ce841d22368ade1738016751db4

Observation e9be8df6-646c-483d-a5ef-441bec305971 · outbound

This paper cites Wav-KAN: Wavelet Kolmogorov-Arnold Networks.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Wav-KAN: Wavelet Kolmogorov-Arnold Networks

Reference 87

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no resolver link, observed 2026-08-07T05:26:44.712649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.712649Z digest=sha256:449d574edbd4bf77a014af1b79cced4aaa2adf74a601878bb123de2e6f9dd3fe

Observation 5d04db39-ad3b-4fd4-9959-82d73bca5bf0 · outbound

This paper cites Kolmogorov-Arnold Networks are Radial Basis Function Networks.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Kolmogorov-Arnold Networks are Radial Basis Function Networks

Reference 88

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no resolver link, observed 2026-08-07T05:26:44.716014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.716014Z digest=sha256:f5796f71a8a2acf343e59204926dfac7b389a7d2b23163aeb30b471b44f59534

Observation c24d2e17-2059-4121-bdb0-ed7a79461068 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 89

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unresolved
no resolver link, observed 2026-08-07T05:26:44.719650Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.719650Z digest=sha256:2fae9e5e6fc224ff3bb740b2e5ed546c8a75d5211a4f4b8659a70b9fb0141aaa

Observation b69128bf-5706-4f39-b5d9-988ce7372a68 · outbound

This paper cites Schmidt-Hieber, The kolmogorov–arnold representation theorem revisited, Neural networks 137 (2021) 119–126.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Schmidt-Hieber, The kolmogorov–arnold representation theorem revisited, Neural networks 137 (2021) 119–126

Reference 90

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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 2026-08-15T06:32:42.880941+00:00.

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Observation 9c102da8-b743-48de-928e-329d4fbeef8b · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 91

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raw_fallback, observed 2026-08-07T05:26:44.987511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 492ca99d-7152-42ab-8f75-4854dc8e6631 · outbound

This paper cites Arora, S.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Arora, S

Reference 92

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verified fuzzy
raw_fallback, observed 2026-08-07T05:26:44.978373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.729296Z digest=sha256:8944d50a7afbb824c145b303e9eb2bfe871df74241c5a41f0db095958f8cf13f

Observation 3e98f544-0ab7-4081-a0c7-d5e28ea011cf · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 93

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raw_fallback, observed 2026-08-07T05:26:44.967877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.732476Z digest=sha256:0d6cf9c3dcbf17fcf15dfac0d168d26cecd24f5b4912dfc1d522982905e22c73

Observation 725b6504-5f3b-41fc-8e4f-8180162a8b14 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 94

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.735456Z digest=sha256:18b30f8ce804839d53c203b970307abbafb7e884c570e6a1441767a9ef49db6a

Observation 696c33ab-70d5-45ca-a55a-2c4a70b61040 · outbound

This paper cites Ross, Probability and statistics for engineers and scientists, Elsevier, New Delhi 16 (2009) 32–33.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Ross, Probability and statistics for engineers and scientists, Elsevier, New Delhi 16 (2009) 32–33

Reference 95

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verified fuzzy
raw_fallback, observed 2026-08-07T05:26:44.948806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.739256Z digest=sha256:e8e06fbd70cf507eb68fc9a235d3f981933de069075c15711175751f9115f20c

Observation 2561f5c1-c6c0-47df-a259-2aad5964e701 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 96

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.742215Z digest=sha256:e61fc6e26066631f1677563f7b67ad107c91089afbb4870ae437232272a7d10b

Observation d479105f-2024-4338-ad52-c748c3563c68 · outbound

This paper cites Bottou, F.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Bottou, F

Reference 97

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verified fuzzy
raw_fallback, observed 2026-08-07T05:26:44.932737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.745156Z digest=sha256:5770fa7a745333f6554ce3312ace0b2f3c61ed92123657336b92b837a5068c4b

Observation 430a8be4-b0e6-4af6-9318-ee0c0c67f791 · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 98

Resolution
unresolved
raw_fallback, observed 2026-08-07T05:26:44.923071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 71292c3c-45dd-46ce-bc95-bd9a7823c59f · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 99

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unresolved
raw_fallback, observed 2026-08-07T05:26:44.913168Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.751562Z digest=sha256:f04ee2a8cfd9936e85e5ba83b4d75b7ba10df09587be6e47960e4546bbb5ec9e

Observation 56db1df2-798f-40b1-86b2-14e80540d81f · outbound

This paper cites an unresolved cited work.

Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs Unresolved cited work

Reference 100

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unresolved
raw_fallback, observed 2026-08-07T05:26:44.903229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:26:44.755490Z digest=sha256:104b9386710fd21f036f74c73d478103c6cda8bb27d299c4cbc8cce50a055719

Pith citing papers

Observation 421e6051-5101-4432-95f9-8f0726ddf7d7 · inbound

Deformable Medical Image Registration with KAN-based Implicit Neural Representations cites this paper.

Deformable Medical Image Registration with KAN-based Implicit Neural Representations Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs

Reference 12

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T14:50:24.712474Z digest=sha256:6b9c91128dfcf3a47a9d16791e641c33079bca7ad8ddb28458ecabbabfec9db0

Observation c1ea0f26-d79d-40f8-87af-e1149ec44bae · inbound

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

A Practitioner's Guide to Kolmogorov-Arnold Networks Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs

Reference 67

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 7f595796-f98d-410e-84e6-28100da924ed · 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 Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs

Reference 41

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verified exact
arxiv_id, observed 2026-05-17T00:08:43.254293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 9c968dfc-5277-4f99-8bc5-e4e892a7c588 · inbound

Beyond Data-Driven: How Physics-Informed Neural Networks are Reshaping Multi-Physics Design and Discovery cites this paper.

Beyond Data-Driven: How Physics-Informed Neural Networks are Reshaping Multi-Physics Design and Discovery Neural Tangent Kernel Analysis to Probe Convergence in Physics-informed Neural Solvers: PIKANs vs. PINNs

Reference 261

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verified exact
arxiv_id, observed 2026-07-04T08:19:44.123453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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