Paper Citation Record · LEDGER

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems

As of 10 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2607.03682.

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

pith.paper-citation-record.v1
2607.03682 v2

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T16:31:32.767571Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

52 of 52 outbound references displayed

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unresolved52
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External citation measurements

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Outbound references

Observation 03b98385-cc62-41df-9657-8316e3705169 · outbound

This paper cites Anandh, D.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Anandh, D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 071180ff-960c-461e-ad45-45206590837f · outbound

This paper cites Augustin, A.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Augustin, A

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation e677e041-3222-4377-b289-83890febd2f4 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 5796a22c-0743-4694-afc9-63e171afc0c7 · outbound

This paper cites Bear,Dynamics of Fluids in Porous Media, Elsevier, 1972.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Bear,Dynamics of Fluids in Porous Media, Elsevier, 1972

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 8be3c030-a38d-420c-8053-987dd4035469 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 29f45f36-0076-443e-8bc4-13ec86924dfc · outbound

This paper cites Bos and N.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Bos and N

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 87b1c53b-3b5b-4bbd-8aaa-9cb133ca0def · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation bfa1b1ae-9d0e-4aae-ba7e-9c808011e35e · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 712c574e-ec00-4434-81d7-7a9670ef2ecc · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 86c08773-b893-46f7-b894-a7226e1e9cee · outbound

This paper cites De Paoli, Convective mixing in porous media: A review of Darcy, pore-scale and Hele- Shaw studies,European Physical Journal E, 46 (2023), 1–41.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems De Paoli, Convective mixing in porous media: A review of Darcy, pore-scale and Hele- Shaw studies,European Physical Journal E, 46 (2023), 1–41

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 14c1b791-43ab-4866-9d45-6864c82f52a5 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation eb782bf6-e0de-4374-b8d1-29a4e962b39d · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 0ba5a67a-e3a2-49bd-b6b2-cf90c13bb8b6 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 035a3934-9293-4cef-ad03-06821edf462a · outbound

This paper cites Frerichs-Mihov, L.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Frerichs-Mihov, L

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation d169abf7-8dca-4d53-840a-f61e094f0a2a · outbound

This paper cites Giera, T.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Giera, T

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 0256f270-e118-4a52-ab0e-3431e198e7c2 · outbound

This paper cites Haghighat, R.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Haghighat, R

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 7e876130-9ae2-4fee-a45f-88a1848ccbcd · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 447b8986-cecd-4c58-833d-e2bbffc4244b · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation be0dbf05-1449-466b-a4a3-4a28b2d40054 · outbound

This paper cites Jackson, On approximation by trigonometric sums and polynomials,Transactions of the American Mathematical Society, 13 (1912), 491–515.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Jackson, On approximation by trigonometric sums and polynomials,Transactions of the American Mathematical Society, 13 (1912), 491–515

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation e26ffc55-21a6-432f-9bea-50513d8c45d5 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 3e510606-5513-4c31-9d2c-53306705d6ec · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation bd318a20-d1ea-43ff-9828-46c4ec682404 · outbound

This paper cites John, J.M.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems John, J.M

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 0b98b102-f66a-452b-89cb-72084d24be92 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation d96d543c-bbdd-4383-ae8d-c11b2ca01e74 · outbound

This paper cites Kharazmi, Z.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Kharazmi, Z

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation f1d8f92c-a73c-47f0-84a3-e61d76aaebb8 · outbound

This paper cites Klimek,Pluripotential Theory, Oxford University Press, Oxford, 1991.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Klimek,Pluripotential Theory, Oxford University Press, Oxford, 1991

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 12c2f0a3-6c72-4b28-aaae-b405129b7326 · outbound

This paper cites Kraus, Bernstein–Walsh type theorems for real analytic functions in several variables, Constructive Approximation, 33 (2011), 191–217.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Kraus, Bernstein–Walsh type theorems for real analytic functions in several variables, Constructive Approximation, 33 (2011), 191–217

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 5eeee1fc-80b9-4bf8-9947-b5d8d55dfd33 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation d2ff35ac-3a96-419c-b09a-9524686e9677 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation b937c4ce-a0b2-486a-8dce-1be20c752a81 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation bdcffbc6-c750-4902-b143-c4e13c37942a · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 65e706e8-2d19-4773-be43-80860c8499ce · outbound

This paper cites Linß,Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems, Springer, 2010.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Linß,Layer-Adapted Meshes for Reaction-Convection-Diffusion Problems, Springer, 2010

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 71548d04-3701-4b8c-953a-c549c35bf021 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 365ecc8e-b13e-4ecc-9ad9-e4489cd9ff7b · outbound

This paper cites Matthaiou, V.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Matthaiou, V

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation e9cf09e9-e217-4c09-a38b-d159883a3c4c · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 412ceb19-4807-4caf-975e-ccf25f27ee20 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 53b64ec0-0b27-4e00-b0ea-609c6cf9fb8c · outbound

This paper cites Patra, S.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Patra, S

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 08208673-5ecb-4055-96c2-7249998b4ae6 · outbound

This paper cites Raissi, P.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Raissi, P

Reference 37

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 62f7163c-c0ba-42be-b91c-04166f24126c · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 38

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 1f2a281d-fa8e-40f9-8627-5cd0992dce51 · outbound

This paper cites Runje, S.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Runje, S

Reference 39

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 0f435174-13c2-4abc-a2db-8b39dbdcd664 · outbound

This paper cites Sartor, A.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Sartor, A

Reference 40

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 9a846e12-6b91-494e-a488-a5d9da091a13 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 41

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 5e92400e-e7b2-4f32-9600-621d85ecc067 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 310bf5c7-bfb8-4de2-8f41-16dfcb4da02c · outbound

This paper cites Physics Informed Neural Networks with strong and weak residuals for advection-dominated diffusion problems.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Physics Informed Neural Networks with strong and weak residuals for advection-dominated diffusion problems

Reference 43

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 5dcfb8c8-ccf2-43d7-93ba-e6ecd209d3b6 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 3b01814e-ccdd-42e2-babd-efd48896d13f · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 45

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 5af1a445-f2ed-40d3-98d5-ea263969800e · outbound

This paper cites Tancik, P.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Tancik, P

Reference 46

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation f22e3186-3f04-4c03-91cb-81a066bba511 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 47

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 666fba2f-fe43-48c6-bc91-8ea9c929c256 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation 5af4a15b-b99a-4ebf-acd9-9783fb3dae19 · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 49

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation b2c01500-c64a-49bd-ae36-09afa69910df · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 50

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation cb9cb5ec-4367-4b76-b2e6-b577f6cc220d · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 51

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Observation e537cf05-17c7-4314-9bbc-13acb99574db · outbound

This paper cites an unresolved cited work.

LRX-PINN: A Layer-Resolving XNet Physics-Informed Neural Network with Integrated Cauchy Activations for Convection-Dominated Problems Unresolved cited work

Reference 52

Resolution: unresolved; no resolver link, observed 2026-07-14T16:31:32.767571Z

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Pith citing papers

No inbound Pith citation observations are available.