Paper Citation Record · LEDGER

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ?

As of 13 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2412.06158.

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

pith.paper-citation-record.v1
2412.06158 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:07:55.490318Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact2
verified fuzzy13
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7f4b6d52-8d82-4453-a9ca-a427bda689ef · outbound

This paper cites LeCun, Y.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? LeCun, Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.798638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c1fecdc5-3a2f-40a9-b94e-a2572cef1458 · outbound

This paper cites Goodfellow , Y.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Goodfellow , Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.791790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 62e55eb9-a429-4412-869d-a0ef4d3bf95c · outbound

This paper cites Dissanayake, N.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Dissanayake, N

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.785206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 280fce19-944d-4ef3-981d-c5168f2de0f5 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.778428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ec300e5b-37b8-465a-8c6e-f369d345a38d · outbound

This paper cites Cybenko, Approximation by superpositions of a sigmoi dal function, Math.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Cybenko, Approximation by superpositions of a sigmoi dal function, Math

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.771797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 25ca937d-3750-4f2a-b91a-057a5843169c · outbound

This paper cites Hornik, Approximation Capabilities of Muitilayer Fe edforward Networks, Neural Networks, 4 (1991) 251-257.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Hornik, Approximation Capabilities of Muitilayer Fe edforward Networks, Neural Networks, 4 (1991) 251-257

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.765060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 73388e23-f3cf-4cb5-8b9d-6787e5f27915 · outbound

This paper cites Sirignano, K.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Sirignano, K

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.757970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 695beec8-9212-4a70-8e10-79daa4e35f7f · outbound

This paper cites Raissi, P.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Raissi, P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.751225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b4bb0209-955b-4c46-91f9-73c3331cc168 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.744525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 410f1fbc-ecf9-422a-b731-497f3db4e4a5 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.738139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a49c6f0a-0ceb-43ff-9d8e-151976882509 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.731580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5074af6e-f835-423c-88b2-3cb20db8c314 · outbound

This paper cites Bar-Sinaia, S.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Bar-Sinaia, S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.725094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1c77217e-8d32-408b-823e-fcad91161a28 · outbound

This paper cites Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Learning to Discretize: Solving 1D Scalar Conservation Laws via Deep Reinforcement Learning

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-11T20:07:55.558419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2c2b44b1-a74e-41f7-a682-d1ea14f4218c · outbound

This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T20:07:55.417298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90dbc01b-266f-44fa-8858-38b3b28e646e · outbound

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

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Fourier Neural Operator for Parametric Partial Differential Equations

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T20:07:55.420061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca86e843-5968-4bc9-a268-2ca912d081c6 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.718639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 59b2cd9e-8cd4-4cbf-b579-d61795a35e91 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.712183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 249712f4-a689-41a0-8017-c6bf89df3874 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.705445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8270dd65-8f24-49d6-908a-aaa8f8cbd381 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.698769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation faef58a2-e104-4344-919b-8ff8af7a6fe0 · outbound

This paper cites Goswamia, M.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Goswamia, M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.692034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ceffa65a-591c-4862-b4da-c11a6d5e25f8 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.685490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 08891cca-7ec9-4c42-96c0-b04dd6751902 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.678894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8b429fd1-c6e9-4f17-89a8-b85f22c6f8d2 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.672096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 459cd07a-fad3-400f-b524-54a6d0e79898 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.665446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d87ff15c-a9da-4c69-8bb9-15d4848a8d1a · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.658775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 10919452-91db-4375-b6d6-17934b52af9e · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.652256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0af7328e-5980-4276-807e-8b78e8a785f3 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.646079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 80f01d67-0436-4bc4-b1ba-c5c3e19edf02 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.639409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 529c051d-3f2a-4fd6-9f74-486c93a85d37 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.631931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9f5db18b-ad3b-4a75-aa37-56ffebf6510c · outbound

This paper cites Zhong, S.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Zhong, S

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.625043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c453375c-43c4-401c-a3cb-3489d425cda6 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.618087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1b606033-9147-4ea6-88ff-b06bf7b98a57 · outbound

This paper cites Harnessing the Power of Infinitely Wide Deep Nets on Small-data Tasks.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Harnessing the Power of Infinitely Wide Deep Nets on Small-data Tasks

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T20:07:55.461702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19650a88-22d6-42a7-a3a2-e260b792b418 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.611147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5b283630-f894-4f46-8f06-c307de3556ba · outbound

This paper cites Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T20:07:55.466985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82d85790-e102-4c26-84dc-b7f32062de6f · outbound

This paper cites Jacot, F.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Jacot, F

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.604420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 87eaef0f-2c37-4517-9ff1-f59adef74679 · outbound

This paper cites Rapid training of deep neural networks without skip connections or normalization layers using Deep Kernel Shaping.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Rapid training of deep neural networks without skip connections or normalization layers using Deep Kernel Shaping

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T20:07:55.472459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 587a5697-9170-4847-982d-c31c86309ef7 · outbound

This paper cites Dyer and G.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Dyer and G

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.596965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0ad65b07-3f2d-4a5b-b72b-11e1b264633f · outbound

This paper cites Kernel methods through the roof: handling billions of points efficiently.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Kernel methods through the roof: handling billions of points efficiently

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-11T20:07:55.520629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 89c0c1f0-6dfb-4267-81de-94f16cf999a0 · outbound

This paper cites Arora, S.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Arora, S

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T20:07:55.589413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 0aa568a7-e963-4e81-bd5f-3fc8d89e208b · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.581778Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 026544cf-3ed9-4462-a684-c793d2a891f3 · outbound

This paper cites Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Fourier Features Let Networks Learn High Frequency Functions in Low Dimensional Domains

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T20:07:55.485433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21dc7527-ffd8-45d5-a825-afa085449bc5 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.574462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 36ef41ce-60bf-42d4-b605-a4f092dfcf83 · outbound

This paper cites an unresolved cited work.

Is the neural tangent kernel of PINNs deep learning general partial differential equations always convergent ? Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-11T20:07:55.565869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.