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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 19 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 2026-08-19T06:32:44.657259+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:e44525f639f6423772aae41eba6f258df35d93bb0ad303a09e50dd19af39d246

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=sha256:7690b90230aaa470c683c58a3dcc1a00fc6278eda10acd29c488c5f22fcf6c91

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=sha256:0cf54b4e68dacea12077f2a30593587beba7ee2f2c2d773071e95ab810547e52

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=sha256:9608f199801fcfc7c9609e7b6c2ae6133d191423ac0af3642ad394271789a490

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:d4884361b2f179dcc6f456f48bb20616298b04c7051341590ac8f442466d05e0

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:cfa9fbe38329f8f5e0aacd0fccc4b7df3e76f3cc87552867f2ea105fa7157202

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:f83fcaddd23e7e721acd327044c8a3c772881b33a3f82c73d1d9c7f63929258f

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=sha256:211dadd78c4ab26293bea4bf14298f65cb114fc88075591703f163a180373e0b

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=sha256:86fc8af082bea55a886a53ca78b7d59a5ae1e5b32161c27f64278301b08ef0e3

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=sha256:2e1b8b54f99aeab8ca18dd5c55a4c350d41159af949dd4c24019d3cb1dec728a

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:bb96f18a0f599b950089ba737113af398a9e00c12813d193e6daf55bbe0354b7

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=sha256:49dc6e9f7ca867c5ef72d837261f28d0903e67546861ca0145997ac3a4fc2ec5

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=sha256:0170eb0e568074d906da9266fceff6b55d64f9af1ab6472171a47a7072d74505

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:e65a43bc362f0822854d7f387b8c99f860491debff89ef509390b2753e5b276d

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=sha256:08399a78b3f123193a8c18d5901342d7197927d2de7d78ac5969616c568ee61a

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:f170afacd3cd8103e341f808eac8c3ae8c22951c908ce5cf239063baaabc3540

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=sha256:2fac1c9f0a57e6b075a686796ff8449efa11cba1a9555fc3bd2c666fbbfd7753

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=sha256:8774bd61e731dea96f5ba36cf301313426e6a84c7fd919499217c2219a1ae5b9

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=sha256:6ec28b6e9c0ce95d21174636966d361433b0fa2348e465cd1ab950948946c6c3

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:f739265f405210d16779e39a6512798626ff0dbc7d33be4586637435e5b8024f

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:bf1e558e12957110132787c0d6a7a2bd9652c79c9a4c2d63871418d122f6d021

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:d2b7a6eb1bc2ce5c077612cc0dd1d88ffb212b81b7141e37a7ff787f517a6f18

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=sha256:5171ef2d8d6e6335b2388ebbc9adececb8398c65085762cecffa9aafabfc5580

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=sha256:0aa3b3161c271acac743a9494c6528e5a898f6e331211f5b7cf643026c4a2a24

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.503049Z digest=sha256:0fc5de8983181cab9f82aad47a7f971deb7f6673ccebd526d53c4ec508ffe0b2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.506080Z digest=sha256:a5d452d441fb71ffb6a25f90923b808af99459ea944a4faa2b341f1643ef0c56

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.509201Z digest=sha256:40bceadcf0542368ff15c4317e51eed2029ba468bfcb5c9853bc273f66a5bc32

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.512735Z digest=sha256:1f9092b7f345cdc7f584e2a3a0e2599f338da4bc44ac89dc3aebbc8635d92939

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.515798Z digest=sha256:23904476a7ac7245170f066d7c1e4a2c3fa598da92a2a8a19303cea8454646c6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.518883Z digest=sha256:79eacfbe773904602dbabc4dae14877ea87b1a30a842b897000052ed767d97bf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.522640Z digest=sha256:bec303d95a8e2484c60aed956a306b7e7608cd3808d35c0bc9a5db8824f3f1b6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.525792Z digest=sha256:02ff178b158bf7515ff81eac38f18aaaf1ab695524db0180038402a48685432b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.529031Z digest=sha256:6301b763c8f253825b7ea2fdbd8dea5a1ce64770ed844c0368a202b11388aebe

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.531965Z digest=sha256:360aeb9393f37f43b7d3a1f1d1528f91f79202fb7ea30c3359ccded5969797fd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.535519Z digest=sha256:a25c2374efdbccedf3d4a27b3b8f7874e70aff5a06cc29ccb2837a17e5162cb9

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:f528b64403b7d146d7b9fbf3476caac582cf812444fdc73df05cd9938bba3262

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.541988Z digest=sha256:dc61f007b0d2c044431dcaa05857893121595db2fa584cd73ae9be43fda01ca0

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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unresolved
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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.545208Z digest=sha256:d02f0dcf611816e53f5b34ca8ea16d9377c40cd42d7026bbecbd862c35d6bd55

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

Resolution
unresolved
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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.548485Z digest=sha256:dc46fb0c182ac02701e070143ac2ca3eac871c579b1e2776f0a076e4dc7a1d5a

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=sha256:314c70cefa5ab54e81def207b8a61b7fafb2b6647e3b9b4594e0be023f228634

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.555040Z digest=sha256:3472cda02fc998342b0df17c42f929659cfc0c6ce94e1fe103be8095a500307e

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
unresolved
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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.558011Z digest=sha256:d746b8c00bf9ba30e1110fd74f3be2db7aa22b2508891f462048a12ed7ca1cad

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.561152Z digest=sha256:0d9b8d55394068edfc500dcc71855358f0e20483a0e770c8e9d86790406fe306

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.564885Z digest=sha256:266f899ac9dbcf7544d65523920f5c34dd6f9d770c605ef2f45eab3c5fc0106b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.568545Z digest=sha256:b661e7f7d7d0ec064b831526eb4dc7e0ba9fec4a20b558eb073c904319dc4e0e

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=sha256:3003b2b223457e6d51005d66e7d399ee960a57f19216d35227f9605b7b05feb4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.574837Z digest=sha256:7a199947b7b0be0021064f8fd04c1ef4302fd9f06f1c6032c97548e3cdb6bc31

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.578245Z digest=sha256:d22eac136e55b6207088c2cfcc408928df9dd5de45477c674ef5246e2cc1ce10

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=sha256:717bb2ae6eb9b3915c300c8d5aa79e3f4c07095d15fb464a59f0d41d67c8bf0b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.585477Z digest=sha256:4db52f621fa311657b47d593be28f0b4aad3eefed41cb30fec74b5336949dd0c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.588567Z digest=sha256:134701d9b8ddfde7a065107c7574e61c238458b5b9d1a5e5f055767733a511f1

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.592045Z digest=sha256:a749982426f8566423ab248f88b0db6f4947b7effde279e6ca57febf46c410a7

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:a2fb7c53e06fe6776b5e3eeded4f68499ed91eeb4f389f8d3f649173d3bd8c36

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.599392Z digest=sha256:3ee8ae7f98dad445bd4933c3a4e4942431d7cba738a4eae26c9714dff12ffba9

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=sha256:67cdcedfa085933def80c94141a1c86bddb6af78d723007fa72938ffa61b8c43

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=sha256:12a1c1dc3be610158ee1ab5fbe679419d8a3d857ea4a3b48662d2f9fa12fa062

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.609663Z digest=sha256:32dea9ae45e3323f436e3e1cdb5fca5f3b0bf143619783fb9941e0fc0578e7d6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.613134Z digest=sha256:73aa0a80611a8f19b6bdf4e21e71e99f1daf24d73955bf61828cbd8fbfe6ffd2

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.616976Z digest=sha256:fe91f8203a2e021b0ff375a61592e8e1ae2df2b155e0ddd17ca3c11d9c8177a3

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:a488d362ced9bdf66de32545bf18f19952d49526be23f65a10eef745ee496b07

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=sha256:8b147c6bf203baecb588cb09b79d886519bd74df6e211c7ed07017c7f28ac12a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.628488Z digest=sha256:acd6e685ffcb0d1bdeff8267843c3686357af29bb7c7d6dc8918a9a4b7a86e5c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.631958Z digest=sha256:6237fc9f1692133fcc3f2430ea2407bd8ef1094898fdc5f5b17a813c8fea1e14

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.635689Z digest=sha256:d15d75821dd62b372304356ffe205c361f9ba6a51cc500bc66e2b734b8a9825c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.639372Z digest=sha256:83de5c5be3f0ea6a69c2376c0ff36b433280a1e3d5f431526a96b06b5991c71b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.642930Z digest=sha256:b4a993803cb4de5f32ac41eb3de656db014681e8253fc3746c861c04ccb5ae38

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.646240Z digest=sha256:86a6f0e8e0563d2b5f2211bb49f08789d7bd269d37902e154bd8a6e5acbdcd8f

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.649645Z digest=sha256:cb03a90284c7f2c09cb694a5e01607db6a0743a445aae00ebc3a031174d700f5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.652671Z digest=sha256:1652b7f6663a3f4d52a3b6e9efe852d566da4adcce3e503659e4db7e56152300

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.655857Z digest=sha256:4a04e969bf4a6c7879b783587c56f7fbe7b903a5a3e4b5be1fcc80a8db3bd0a4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.658924Z digest=sha256:da492dcf9b29e3850be91fce45b5fded8f8175c9c6ec1d8ef611771392c002ce

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 2026-08-19T06:32:44.657259+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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source=pdf_text observed=2026-08-07T05:26:44.665091Z digest=sha256:fdf735d1f895914f93115e3dc1b48e11350008360e93d5f0c37acc90a12adc39

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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source=pdf_text observed=2026-08-07T05:26:44.668943Z digest=sha256:b6d9fcd97c5fbc22fa6afad66a973eb91eed64eb00c096568373e5e895f2496a

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=sha256:6c53cc49ce0961f7f80e0022ab0c8e35f929f779561afe00820e4980d0488d7a

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

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source=pdf_text observed=2026-08-07T05:26:44.675432Z digest=sha256:6ee31c4b4697519fffe90cdfc778f1ed4ff07c97d88f7fccbdac20b75bb93008

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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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.678654Z digest=sha256:1ed6ef14fba8e1f84a628f35a456b68e120c6f71086ec28eeedca87d3a16b1ab

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

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source=pdf_text observed=2026-08-07T05:26:44.682103Z digest=sha256:cb4bd1bebf442b3f9f82136623dd37be6ccc7365471f677eb3c90ced7fa88ec3

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.685230Z digest=sha256:85e5d3e7e782ed9df10b574caf9d901da4f7c2847a5a09afe9838ee88e26e000

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.688259Z digest=sha256:8daf1e811dbcb182a057c5308bc91f19f5ac46a9a9134930ef5a48b7b4fcb547

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

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source=pdf_text observed=2026-08-07T05:26:44.692201Z digest=sha256:ddf2d8b5f2bb28a5ce96840ea04cd937252541ce40ac2d7099e21530ec28459f

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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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.695382Z digest=sha256:058ecfa3b61bd83faf6e5a3eea385e00da7f59d5b04b0ed1c5cc5678f362e98f

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.698576Z digest=sha256:fd82c57f2d2c2867552659c5b46f0b8d38b36e311ff70b92dbe1b04ac3dc870f

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=sha256:8e043d476ac396f66e8ad1bdf31903a371936038959c1c6239b8c101bad95c87

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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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.705657Z digest=sha256:0a4c55c1672e91a635efe3580f7909ddaae34886ace2c83fe84b82ffd86715f8

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.709388Z digest=sha256:0fa3c2b607f187b428af0d29712db78cf3dd894caa2e5fd33384a88b921216c9

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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.712649Z digest=sha256:7c79bca7859c4bb06b947266e389faac1b8fbeaf74f97f55d008818cb66d7a26

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:26:44.716014Z digest=sha256:a0e621551a439e9e5d525be7969d8d36c18f646f79527dd3d77cd67cf58dd946

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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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:b857dbe35842385da7fc1d6f5366e2ac3bb149c94cfe3e62f213d071ce3f8fc4

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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Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T05:26:44.722938Z digest=sha256:579794f4306e7cae98f8e406c13ab2eb1ac27c7cf19e2e6a45958044ef6f39da

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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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.725942Z digest=sha256:48b4db0b49283791eb9df949b9a86364f690954ef54a3e24bd860af865ec34df

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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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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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.732476Z digest=sha256:7a3750fc6aa032f8bad7ebe718618bc2d7b6049e25d63e2ab5ddc738ea7ae10a

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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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.735456Z digest=sha256:6df2a37b1e3257d14ca2113636e6a9577c46f5442bcdd39cc515fff611d59243

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.739256Z digest=sha256:d3f7294334f03f66235af331bf817528c898c4f64c3d86302834c7f673734c13

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=sha256:56a81758f248c3def6e08a00cdf8d805e1ce616825ff6e5244d55a4f7e1c6ad4

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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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.745156Z digest=sha256:fb56b7f7bc1fd548f42e74473098a25ab08c0407ba58e1fec177a416099461c9

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

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

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.748402Z digest=sha256:bb8d0207b2d7b541ac8c35fb92dfb54ac65b0c68937e0c35e46e26ee57b64e69

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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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.751562Z digest=sha256:5bf79a5ec4a7a36a9d52a41dfc669c01d81ac49e9960a860102b9a1e3ecd1c39

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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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T05:26:44.755490Z digest=sha256:301f0c8b76c9e188db8aa6d94ad96fded0d5296bb2f5d15d2592acf11b02be4f

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

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unresolved
no resolver link, observed 2026-08-04T14:50:24.712474Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T14:50:24.712474Z digest=sha256:3d290dfb7f4769399cb21125b9539ec3a5837dffe957e0aa08c7818b50f3f814

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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arxiv_id, observed 2026-05-18T03:30:50.395185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-18T03:29:15.570760Z digest=sha256:580bba840c9792109d899e05651c79b8004b85d77db0d09683e966264221a6a5

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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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-17T00:06:05.887506Z digest=sha256:ae0f6147c55511e8e1d7012ab3e27e598964433a5805c774bd26a7fedbea8d0a

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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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 2026-08-19T06:32:44.657259+00:00.

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