Pith. sign in

Paper Citation Record · LEDGER

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations

As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2506.06188.

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

pith.paper-citation-record.v1
2506.06188 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T06:04:17.300127Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

29 of 29 outbound references displayed

  • verified exact5
  • verified fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier6
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation efb31cb4-6516-4270-83f6-2689b45c8e31 · outbound

This paper cites Engineering Ap- plications of Artificial Intelligence 138, 109378.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Engineering Ap- plications of Artificial Intelligence 138, 109378

Reference 6

Resolution
malformed identifier
no resolver link, observed 2026-08-07T06:04:14.874531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:14.874531Z digest=sha256:671e19aa075bf97bf722adcf752205656f1d5af1ff0fa8341aff29cd1572dcb6

Observation a5f02434-4a8c-4201-909a-6ba5e01a4386 · outbound

This paper cites Engineering Ap- plications of Artificial Intelligence 127, 107256.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Engineering Ap- plications of Artificial Intelligence 127, 107256

Reference 9

Resolution
malformed identifier
no resolver link, observed 2026-08-07T06:04:15.276143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:15.276143Z digest=sha256:6db484bdded595b8d35be25a94a93960b16e6de602901025c5b67dbadd00031d

Observation ede10036-5257-4512-b671-c18873c07616 · outbound

This paper cites SPE–109162– MS.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations SPE–109162– MS

Reference 13

Resolution
verified exact
doi, observed 2026-08-07T06:04:17.908816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:04:15.753081Z digest=sha256:5ee9b3c729781042f24711fe884b34cd42f765430ae538df79e4faf86b0f1650

Observation 54aaae7f-3bb4-415e-966e-c21497e221ec · outbound

This paper cites IEEE Transactions on Neural Networks and Learning Systems 33, 2615–2629.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations IEEE Transactions on Neural Networks and Learning Systems 33, 2615–2629

Reference 15

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T06:04:19.863069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:04:16.012791Z digest=sha256:907e00728cd2efb23652889cf55e9731c4b852598403f15d0610c44bd87b7d39

Observation 42c6ae4f-04ac-45c4-86bd-4c4ea1e41f20 · outbound

This paper cites Nature Reviews Physics 3, 422–440.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Nature Reviews Physics 3, 422–440

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:16.122815Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:16.122815Z digest=sha256:5f0f9efe37ca9ab302ba4bfcc357361e5c4091387342944b355e4670b82cf174

Observation 62421eff-40dc-4402-8aa1-76c9f758a160 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering 374, 113547.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Computer Methods in Applied Mechanics and Engineering 374, 113547

Reference 17

Resolution
malformed identifier
no resolver link, observed 2026-08-07T06:04:16.248520Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:16.248520Z digest=sha256:5a52231251edb71790d09b5e2b6801c5fb4e57cd61f96f414d8b7bd9a188e566

Observation c1ebb1e5-0157-4200-8662-1acada52b84e · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Adam: A Method for Stochastic Optimization

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:16.312928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:16.312928Z digest=sha256:e345967d48b8ea9c1fa6f6b109d7bf52721f821345a8efeda3bc92fffe69236e

Observation 43078347-4af2-4802-9fd9-48c5c7ce3f05 · outbound

This paper cites Applied Soft Computing 158, 111603.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Applied Soft Computing 158, 111603

Reference 19

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T06:04:19.486816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:04:16.384846Z digest=sha256:cd4e25ce8875123f92401cb3a7e7742321419605aa23712d463d9df6b7fbbe92

Observation f0c4d0fc-9430-43ad-9e23-cfef3b160251 · outbound

This paper cites Journal of Compu- tational Physics 378, 686–707.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Journal of Compu- tational Physics 378, 686–707

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:16.624054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:16.624054Z digest=sha256:238e320f80733514559917c1c1eedc0bea6f39fb2610836a2cc42ba27bf98cfb

Observation b7b3f21b-d2a2-406b-b809-32c8ddca7f23 · outbound

This paper cites Nature Methods 17, 261–272.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Nature Methods 17, 261–272

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:16.845073Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:16.845073Z digest=sha256:4712c5c1aec0372c592d8fa73fbc9db35d378cb3bdb6f031901117394d989e86

Observation 88ba5095-d889-48cd-8f46-f15c0dd4c5a8 · outbound

This paper cites SIAM Journal on Scientific Computing 43, A3055–A3081.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations SIAM Journal on Scientific Computing 43, A3055–A3081

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:17.195120Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:17.195120Z digest=sha256:a6879b8b22da81656dfbd067ec5f786810b91a9e096cbcbb7ff37a53b003cf06

Observation 0065f277-9def-4821-b123-97861d5c4cdf · outbound

This paper cites Engineering Appli- cations of Artificial Intelligence 122, 106073.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Engineering Appli- cations of Artificial Intelligence 122, 106073

Reference 29

Resolution
malformed identifier
no resolver link, observed 2026-08-07T06:04:17.300127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:17.300127Z digest=sha256:2442ff06c81ee63e1616bb388913983cd57fa495b029b34785cd2aa29cd48d4c

Observation 62a8ebd5-a014-4d69-96b9-069f7e3c05f3 · outbound

This paper cites Faria, R.R., Capron, B.D.O., Secchi, A.R., Souza, M.B.D.,.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Faria, R.R., Capron, B.D.O., Secchi, A.R., Souza, M.B.D.,

Reference 163

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:15.152343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:15.152343Z digest=sha256:a52be9b902b62cfa9363af2f3947486ac69f2d2723d848cdcccfdc1a9be886da

Observation 9a179e9f-1bdd-4205-b62a-05c2e7c30319 · outbound

This paper cites Proceedings of the Royal Society of London.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Proceedings of the Royal Society of London

Reference 1939

Resolution
verified exact
doi, observed 2026-08-07T06:04:18.089593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:04:14.995874Z digest=sha256:f8d22db13fccde6496e4ac0c7ff0cb432c561ec6a3a4def7b5d943d9b5fb7a9c

Observation 76db335c-1646-4102-b5c1-6e0237b3b32f · outbound

This paper cites The Physics of Fluids 8, 2182–2189.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations The Physics of Fluids 8, 2182–2189

Reference 1965

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:15.529793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:15.529793Z digest=sha256:469df5facc00190db69bdc4df17a4c8d472b4c42f30703ece96c762c41b106ea

Observation efb09043-a59a-47f4-b1ea-44e02d73c895 · outbound

This paper cites Journal of Petroleum Technology 20, 83–92.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Journal of Petroleum Technology 20, 83–92

Reference 1968

Resolution
verified exact
doi, observed 2026-08-07T06:04:17.467418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:04:16.919270Z digest=sha256:f78355d3bffb7eeb3421606a131a5a1d47d244be2bb0b329a1d0a1270f15faae

Observation eb15c53b-7167-441f-a182-d20ecae29464 · outbound

This paper cites Journal of the Hydraulics Division 102, 657–664.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Journal of the Hydraulics Division 102, 657–664

Reference 1976

Resolution
malformed identifier
doi_truncated, observed 2026-08-07T06:04:17.688503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:04:16.777057Z digest=sha256:ffb6079385f6fe79154cf0dec61c3e6929f125ba017dd603f99ad2cbd3034f81

Observation 0fef51c7-b609-4761-bf61-be16f3d79e9c · outbound

This paper cites SPE Production Engineering 6, 171–180.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations SPE Production Engineering 6, 171–180

Reference 1991

Resolution
verified exact
doi, observed 2026-08-07T06:04:18.286499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:04:14.738688Z digest=sha256:9202b79926ff33cc75c525ccd5a957bad6549cb1b692ba5e022d30a8d81fb545

Observation 1bb5b0ae-c318-464b-bbb3-9ef300a4cbbf · outbound

This paper cites Mathe- matical Programming 106, 25–57.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Mathe- matical Programming 106, 25–57

Reference 2006

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:17.022521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:17.022521Z digest=sha256:894d3daac7231364628dd2123885abca3196c3f8e7557c8a19ed8810650c5e51

Observation 50c85c4a-9b38-46cc-aeea-5beaf4f0cc4d · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Unresolved cited work

Reference 2007

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:14.540390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:14.540390Z digest=sha256:c6abfbb1b7dfcf3ff68c89861f3d624e9efc1e187a58f00ae5177f8a9dad0546

Observation a0a3dea9-9a66-4d09-b623-9a9194d581cd · outbound

This paper cites V003T37A003.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations V003T37A003

Reference 2014

Resolution
verified exact
doi, observed 2026-08-07T06:04:18.531584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:04:14.325608Z digest=sha256:68869a006ad75a3b9560134df970056f9180739e3a1a15b33dd2c66da1dd905a

Observation 8457baa1-fe8c-4cd8-a68d-0c7a290d00c0 · outbound

This paper cites an unresolved cited work.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Unresolved cited work

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:15.631401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:15.631401Z digest=sha256:3726c319cfca01f8fac4c07382a428728096c14b0fda34bb9a3d6e81a1676255

Observation b1c3fc70-151e-4b50-8d13-d752cc67399a · outbound

This paper cites Searching for Activation Functions.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Searching for Activation Functions

Reference 2017

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:16.711281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:16.711281Z digest=sha256:2e7536f81088a03448402c173fedd9aea73656778795a63372b4293d6bee2397

Observation 638aced7-670a-4880-8df1-3e3bc5ca1b4c · outbound

This paper cites Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining , 2623–2631doi:10.1145/3292500.3330701.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining , 2623–2631doi:10.1145/3292500.3330701

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:14.423555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:14.423555Z digest=sha256:813aaac3800bf8a98a046319bfa0e1b677525616a3ce7a6855526d6c338eeb58

Observation 3a90b3ca-8730-4401-ab86-b02809558c98 · outbound

This paper cites Computer Methods in Applied Mechanics and Engineering 360, 112789.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Computer Methods in Applied Mechanics and Engineering 360, 112789

Reference 2020

Resolution
metadata mismatch
raw_fallback, observed 2026-08-07T06:04:19.087090Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T06:04:16.485651Z digest=sha256:a22196ca2a69f68d71a96801ea29a7a8aaf978a7df040471ce2846157cda78d7

Observation 9352e3ac-e77f-4344-a212-858a9c1640db · outbound

This paper cites Journal of Computational Physics 426, 109951.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Journal of Computational Physics 426, 109951

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:15.921985Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:15.921985Z digest=sha256:5b56b34108b90de7cc8afb8fb71df4c89b341ec7e1878d168665aedf03a8947b

Observation e18cbd03-43c2-4ff1-82be-25758f987ba1 · outbound

This paper cites Neural Networks 146, 272–289.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Neural Networks 146, 272–289

Reference 2022

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:15.419507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:15.419507Z digest=sha256:139d89450afd4f2c074ba2b6d2e7d96381096a8af24c1a4748c9a48a65c0719f

Observation 563c680f-838c-4b1e-849c-bea591314311 · outbound

This paper cites Journal of Computational Physics 473, 111731.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Journal of Computational Physics 473, 111731

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-07T06:04:16.546575Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:16.546575Z digest=sha256:fbb712432c6ffb3a87b3455d68d8478940b251a099b06f0bd9b5a071c5efea70

Observation d8523812-69ed-400f-81cc-29b61b926c54 · outbound

This paper cites Neurocomputing 579, 127419.

Physics-Informed Neural Networks for Control of Single-Phase Flow Systems Governed by Partial Differential Equations Neurocomputing 579, 127419

Reference 2024

Resolution
malformed identifier
no resolver link, observed 2026-08-07T06:04:14.632754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T06:04:14.632754Z digest=sha256:8b4896338ee0551df1c6d426e0f5b23e35f99df5949ec94942773e6926a84288

Pith citing papers

No inbound Pith citation observations are available.