Paper Citation Record · LEDGER

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.16636.

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

pith.paper-citation-record.v1
2507.16636 v1

Coverage vector

measured 32 of 32 reference resolution

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One-hop event checks from named stored sources.

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

32 of 32 outbound references displayed

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External citation measurements

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Outbound references

Observation 72d871ce-3f23-4621-9918-1cd6e2efefbc · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 1

Resolution: verified exact; raw_fallback, observed 2026-08-06T15:13:20.680154Z

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Observation 07dd5566-1b94-4eb2-93a8-c1a5356ecc3d · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:13:23.497944Z

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Observation 5d97c8e2-f02c-4e97-a082-6c16b566b272 · outbound

This paper cites Shafranov, On magnetohydrodynamical equilibrium configurations, Soviet Physics JETP 6 (1958) 1013.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Shafranov, On magnetohydrodynamical equilibrium configurations, Soviet Physics JETP 6 (1958) 1013

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:13:23.261966Z

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Observation e386d5c8-1619-41d9-941b-f615abe99ee4 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:13:23.014127Z

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Observation f5c878c3-1076-4f17-b55f-56e987da630d · outbound

This paper cites Albanese, A.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Albanese, A

Reference 5

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Observation b40bac64-a3ae-44d1-bbe4-c91fb344f6c8 · outbound

This paper cites Ricketson, A.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Ricketson, A

Reference 6

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Observation 3839c344-9bf7-4efe-9adc-6b01df3ec672 · outbound

This paper cites Heumann, F.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Heumann, F

Reference 7

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Observation 8861b064-8e08-4d1d-acb1-9268376a6da4 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 8

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T15:13:20.291232Z

Source-reported events for the cited work

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Observation bbfbf83a-6010-4c49-b179-4ec780a7c68c · outbound

This paper cites Palha, B.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Palha, B

Reference 9

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Observation 29c1e42b-8036-420f-b15a-5f6a8f95d375 · outbound

This paper cites doi:https://doi.org/10.1016/j.cpc.2014.02.008.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction doi:https://doi.org/10.1016/j.cpc.2014.02.008

Reference 10

Resolution: verified exact; doi, observed 2026-08-06T15:13:19.265864Z

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Observation 5bc93190-3efc-41c9-94dc-01bcc98acefd · outbound

This paper cites Fambri, E.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Fambri, E

Reference 11

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Observation f0cc0321-3111-45e7-a0b6-45732009ff38 · outbound

This paper cites Zampa, S.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Zampa, S

Reference 12

Resolution: verified exact; doi, observed 2026-08-06T15:13:19.076755Z

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Observation d0c65a0b-a27d-44a9-b121-65d45190a4e2 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-06T15:13:16.542052Z

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Observation c1fa446f-7faa-4ce4-9fe5-28485c1da1ae · outbound

This paper cites Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T15:13:16.548347Z

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Observation 659c8998-6279-4f88-94b6-090ec2ead271 · outbound

This paper cites Raissi, P.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Raissi, P

Reference 15

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Observation 2dd79354-b1f1-4b32-bcb1-dbf0afe96bda · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 16

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Observation 670b6d02-a12a-4932-8325-c45f180313c1 · outbound

This paper cites Joung, J.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Joung, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:13:22.754775Z

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Observation 62d9b212-f845-4b13-b6ef-bbde4c6e22cf · outbound

This paper cites Merlo, D.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Merlo, D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:13:22.523497Z

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Observation 4effe231-6315-47fd-be2a-9f78a9c93b78 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:13:22.279157Z

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Observation 55a560aa-93f7-40fd-aecf-d763cd7299a0 · outbound

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Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 20

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Observation 2b7f61a3-992a-4b03-a9b3-4692808d81b4 · outbound

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Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 21

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Observation 665ff7b8-a4b3-4344-b8a7-110a3614f66e · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:13:21.712459Z

Source-reported events for the cited work

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Observation cebe93b7-5d58-40f0-927b-2b3f8d69260f · outbound

This paper cites Evaluation and Verification of Physics-Informed Neural Models of the Grad-Shafranov Equation.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Evaluation and Verification of Physics-Informed Neural Models of the Grad-Shafranov Equation

Reference 23

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Observation 3c534436-8851-4ac0-bd2c-15d20473b1be · outbound

This paper cites Wang, C.-Y.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Wang, C.-Y

Reference 24

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Observation 9cccedfc-ca0b-4a52-9032-6405b868db3f · outbound

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Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 25

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Observation ef2dc78b-c279-4c2a-a1ab-620334497496 · outbound

This paper cites Krishnapriyan, A.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Krishnapriyan, A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:13:21.275290Z

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Observation ce82f4b7-9b71-4989-b91f-2efcdf38bd10 · outbound

This paper cites Hu, Notes on tokamak equilibrium*.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Hu, Notes on tokamak equilibrium*

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:13:21.018789Z

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Observation 0aac8107-c88e-4408-8ce3-b056dc9b33b4 · outbound

This paper cites Loh, On latin hypercube sampling, The Annals of Statistics 24 (5) (1996) 2058–2080.doi:10.1214/aos/1069362310.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Loh, On latin hypercube sampling, The Annals of Statistics 24 (5) (1996) 2058–2080.doi:10.1214/aos/1069362310

Reference 28

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Observation 8542f588-5ba2-4c5b-b0b8-de27b7a61f7a · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Adam: A Method for Stochastic Optimization

Reference 29

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Observation f332ac7e-5c58-4217-b198-feca582c8751 · outbound

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Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Unresolved cited work

Reference 30

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Observation 8133e459-6145-47db-a33d-5345228fb04f · outbound

This paper cites Deriaz, B.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction Deriaz, B

Reference 31

Resolution: verified exact; raw_fallback, observed 2026-08-06T15:13:19.670245Z

Source-reported events for the cited work

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Observation b18e7b45-75cd-46fe-81af-0402d1995de4 · outbound

This paper cites A hands-on introduction to Physics-Informed Neural Networks for solving partial differential equations with benchmark tests taken from astrophysics and plasma physics.

Physics-Informed Neural Networks for High-Precision Grad-Shafranov Equilibrium Reconstruction A hands-on introduction to Physics-Informed Neural Networks for solving partial differential equations with benchmark tests taken from astrophysics and plasma physics

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T15:13:18.380379Z

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Pith citing papers

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