Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:13:11.111534Z
Paper Citation Record · LEDGER
As of 23 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 0 inbound Pith citation observations for arXiv:2504.21328.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:13:11.111534Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
61 of 61 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 7610bc05-582f-4b34-9466-538a18acd3fb · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Lee \ and\ author I
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e68643de-6e63-403b-a7bc-9afefb91b48c · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Meade \ and\ author A
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1976555-a5f0-4bf3-9436-8175a1e09967 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Perdikaris P
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation f4a86d95-a909-435d-aea0-fac763e7362c · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations
Reference 4
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2e5a3dbb-15b8-4f3f-929c-b58a58e74125 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations
Reference 5
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9def4f8c-f817-40c5-8ccd-f82612487919 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 865c94b4-2618-4068-ae7b-351465916b53 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b625c46d-521b-44df-9f6e-08f629ed8137 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b654f34e-5339-44a3-81c3-6ca6a54c8b0b · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Jeong , author J
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c808cde-eed9-4e7d-a6c1-df4834c740d8 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Kervadec , author J
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b75ba7b5-0186-487d-bc81-970fb316be97 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks \ Chiu , author J
Reference 11
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c28cb6d-c9e1-43c5-9439-c8ebb7ddb2ec · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Zhang , author Y
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f31c51f-b656-4635-a1b5-f9d67f70b17d · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Sharma , author W
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2617979f-5387-471b-a5d1-fb15abb00e4c · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Pang , author L
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84c5e273-547c-4cd4-8939-d74479f19d11 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks \ Liao \ and\ author C.-A
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 71538ab0-c25f-47b6-93ef-c595b37ecb08 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8658dc64-e3cf-4d72-9d3d-57c22ce3bfaf · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 9f63a0d7-f9d5-442c-b90d-aee266fa875a · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Sirignano , author J
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9561bcd2-1553-4946-8f63-5a9b69f2bbd2 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Kochkov , author J
Reference 19
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b9567b0a-faac-4660-9255-b183bd5cbdd8 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Maulik , author O
Reference 20
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1b6bf8d-6a7f-4f20-9fc3-87b9c557dd94 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Finite Difference Neural Networks: Fast Prediction of Partial Differential Equations
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 16c7e706-2cc1-43cf-9364-e06a2134e70c · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Sukumar \ and\ author A
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df5f7504-bb31-47b8-98f6-083de40835d4 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Wang , author Y
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d38564ea-fcce-4d65-8e5c-4b02efee7752 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 84d51b37-e569-4aaf-993a-91e6fee7d7ed · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Goswami , author C
Reference 25
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e606146-2e2a-45f7-a566-2c87b742526c · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 64a73939-b4e8-456d-a1bc-44c4c6b368cb · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Penwarden , author S
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c6f63bf7-8ee8-477c-9318-20954191b1aa · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Krishnapriyan , author A
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 73b2a603-4fe1-45cf-a796-e223e660a562 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks An Expert's Guide to Training Physics-informed Neural Networks
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0f7b6058-4c15-4182-8e95-a094e2103520 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Wang , author Y
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 548572bd-a608-4306-b9a3-74af2462e275 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Rahaman , author A
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d98b9121-c64a-48c2-924f-2ce1d8e93c7a · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Wang , author X
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 156ae78a-cb1a-4bbe-8e22-d01e84f1c33f · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Multi-Task Learning Using Uncertainty to Weigh Losses for Scene Geometry and Semantics
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2dc345ee-9145-46e6-b968-2e8b9f1c084d · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Xiang , author W
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fb1e0092-b23c-4676-8855-e80dec2a9738 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Tancik , author P
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 1361fffb-f825-4ca5-90cd-b55f11867360 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Wang , author H
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 43d12340-35c8-4e7b-80ed-177c7e7c658d · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Jacot , author F
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation d34a5a84-6f75-4e02-9a77-b14eb3c566e6 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Mojgani , author M
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7038e266-26db-4952-812a-d11ba0913f61 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 42af291b-a908-427a-8031-fe724d87e6fe · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Wienands \ and\ author W
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0ea70a9f-a4fc-494d-a200-dfc473f6dc17 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Margenberg , author D
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 7bce5bc7-7487-4b75-ac53-2b5c2438ae82 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Margenberg , author R
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a1c8528b-f312-41bc-be5e-972f70497b08 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5dcc7e97-c148-4e98-b061-dbaa6fc78cc8 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Wu , author M
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13e74ab7-c998-4635-96fa-9850d09e09de · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Riccietti , author V
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 348e2c84-0b44-4445-9a00-334a9c0e017d · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Unresolved cited work
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52bf0b17-89c7-401a-b24e-c850691a0c0b · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Torrey \ and\ author J
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation eee5e245-fd41-4500-8d9b-4eba6d320986 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Cheng Wong , author C
Reference 48
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dddfbe30-b721-411b-915f-b9387ae51348 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Searching for Activation Functions
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 52f8ffff-ac7a-4912-9548-583701e0464a · outbound
Multi-level datasets training method in Physics-Informed Neural Networks He , author X
Reference 50
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d236b841-027e-430c-847d-f518ab404a21 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Sitzmann , author J
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a8a5823b-3605-48a2-b514-24725f83aca4 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Paszke , author S
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation fdcb64fe-ebb6-4d84-9af8-7023cf14d4c3 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Adam: A Method for Stochastic Optimization
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1afccdc4-7836-40cf-8f3c-55bfff3cbc35 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks \ Chou \ and\ author C.-A
Reference 54
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 574ca6a2-43bd-4f84-8b05-84b5ceeb759c · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Smith \ and\ author A
Reference 55
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 72852b84-01a0-4a2b-9237-52960ef84efa · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Ghia , author K
Reference 56
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 041916eb-a73b-48b2-b306-8518d6c48bf1 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Li \ and\ author X
Reference 57
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bb67600d-a04f-4124-b5ac-7efd889335ac · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Karniadakis , author Z
Reference 58
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 43917a75-de4e-4c83-a13e-e16a13f1e33d · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Jiang , author C
Reference 59
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a2f20487-5103-4141-b976-4a6e5c321fc5 · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Chen , author R
Reference 60
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c24361b0-50cb-4c77-bfe3-e6273c9d4eef · outbound
Multi-level datasets training method in Physics-Informed Neural Networks Jin , author S
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.