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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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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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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:2f1f44a6637e7e442cd00b78418b853b17829b42d3d3c6c68d051a0e4a5a83c2

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:4f9f7ecc75c3c7e2189b1990e080aae07ebf30edf2c4f7c5c44dea62cbc21065

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:dbe4c681d45f9811e339e12423e60f020e44ea8d83c5cb59ba764c1eebc53574

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:2b0f1adb4f8e274ba4d663a690aee620386d8f286fa695848c3eab4023e9dc1b

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:7eb50c9522d0269afa3770aeb3690d7fedd472ec41305aeb2fca4f30b2ba1bde

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:87002961c9628346ce19f004900f1414e41b2ca89a35f3eea993368d01536e1b

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:1d2b168d982b5ff01480ebcc03a858deffdfda5968025b03ec3f2204b4234773

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:546325dc32d11bf1d945204f276b21b3e0df81ce4e40742dc76a6f758e83b2f9

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:fc0473eda1179eab31e976a622ab66974357dc6e20c456a7a2f101b5da16ed32

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:d28b65db9a6c7ab452b777c3653245d50f84f240ac03504576f1194ec981342f

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:8c48c84a06e52d2f52451169319e64988c65863fe8c924dcd9458a83f63aa1bb

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:e270c58dfa229c5028270bdc04dbab400a2fc8d2d40f76367820e4a952b8f9b4

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:302c3f2b5e365095325d083aaa96d5a11ca802cdd921da461ee84bf5e264f2b3

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:5f255059ce630232f7e6b8ac3bd89c4e8730558033ab77deb1b5fdefbfbf77c1

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:e378645ce540c86c357eecaa4413e8374780436c2c963404717d0765da08ace0

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:fffe7d4bd9a0d8a50f4ca6e69d67ab39f067604094448a6966cad879b09a2c6e

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:764362d84b9d039a3e8d2d6e7024c6c7b46e36c109f34ba605e52f51e5cb0798

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:ba240aa4c0ffba135e549908bff2464afe1880f32a3cf279878e2ed2c1508f65

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

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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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:0d7f7e031a65bb893b0b988f913cbdb9284b5f76b91a78c01e51b8f731404aa7

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:a0665b3aae174a523e805e9249275b53e5dc1cde3c34bc5d9acd79a8f4a02ed4

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:b06dc91ce7ed6dcf4b120f92c3cde2d99db2a9bd6d131f11fd09fb8a31622596

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:ce475c903ccdf6e8c2d15367755c3121d545541645f7e4f8ab4f25b52d76c6cb

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:43ea3ddb6d6bf6baca9640319380c1e85b9321e51e43cec6fe49be8d62d781ef

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:b8f6436cda4edea9a04997ba40950ecaf0aa713a84eaacfc13a9dd2aadb57a12

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

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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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:eacb7969c365ec1e1e0eb063d06a9783188369b2a968cb3f070c591554ee0527

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:156c3d526b8d9365c65ab2a8812b1b9a99b377f174897ec855a9de421523e478

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:b83ebcb55506d90cd898775dd44cc7c53ce4707b6a1f5aacb3420fc7f04e1dd6

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:2232aec541b6e043d32db09fcddaeb9713ac8185c597cf6218ffabe77e6dd4b6

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:f354b4c6940f21d93b32d934e5d9177895b69d7d0d9537ab6f91fe6e42dcaa82

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:c2dc68dba9ed3d7ff04d15c60c84cd21326746a86b77bdd1cda8d2205ef52bb1

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:4dde470f557d3d5bd2295da24b0497488cb487ce5d6e26257e69f00f8bbc9eff

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:759696c66ba11d16f40972382be88b82d206efbd17da4e8553ceba57265d1e7b

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:50fbebf6dd517fcf739253b4837a33ccd928545e1d6ee51b77cc7cfd2d22b013

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:1ef9858029ea554908d265a02ba78f8810e8172b18de118efc443d08ba1e8a3a

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:9769ac914b514029474270d21e0c601f0b629393f822e38e591261ae5ca7c5b1

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:5a5ce79adb56ccdffc075a8970208a753ff11610c9c7cedfe895d0490439e4a1

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:14e9a0e3b3ee647d6f7e2cb6c30430576ff2694308559e8f8ae98aa48f681287

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

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source=pdf_text observed=2026-07-14T16:31:32.767571Z digest=sha256:db73529120563ea9e24a4bdca80a1a9032a81259301684009b8533c7615f93b1

Pith citing papers

No inbound Pith citation observations are available.