Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:47:51.860778Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 0 inbound Pith citation observations for arXiv:2506.01598.
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 2026-08-07T11:47:51.860778Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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
65 of 65 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c7913785-6dbc-4b9f-877d-0e6b2a76810b · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Infeld, Nonlinear Waves, Solitons and Chaos, 2nd ed., Cambridge Univ
Reference 1
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.
Observation 07c92b5c-209f-48be-847f-d660f6f3813d · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 2
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.
Observation ccb53ed7-c9a8-4611-8445-cd0e82732844 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 3
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.
Observation b1ff03e5-f22f-45a5-84aa-9c5f5a1e187a · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Hasegawa, Y
Reference 4
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.
Observation 2d82c61f-c569-4534-b496-8eabc7444313 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Pitaevskii, S
Reference 5
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.
Observation ca52bc3c-4f1c-4e3a-abeb-c956511b45c1 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 6
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.
Observation 4dc4850d-fcc8-4347-9cdf-026fab208e6e · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 7
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.
Observation 5143ead7-0f3e-4c06-b38d-4e328cd2013a · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 8
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.
Observation 13038a8d-4c9d-4c6d-b764-516798306ce4 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Yan, V ector financial rogue waves, Phys
Reference 9
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.
Observation 05e6c947-9832-4e2f-bd7b-ef88dcc1e70d · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 10
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.
Observation 118ce741-e40c-4578-bf3a-9f9d899dbaf8 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Yang, Nonlinear Waves in Integrable and Nonintegrab le Systems, SIAM, 2010
Reference 11
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.
Observation ae8a4508-d177-4c42-9b80-4436080f9d16 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Stoer, R
Reference 12
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.
Observation 43c40cda-2ff5-46ff-baff-42a39cbfd5f3 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 13
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.
Observation 0d0b7925-0528-46a2-8392-02d25c5cd5ff · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 14
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.
Observation f32ac7ac-96e3-4b1f-95d7-7feb944b38e5 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 15
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.
Observation b2e8787c-3992-4b87-9f18-1394196d0009 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Raissi, P
Reference 16
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.
Observation e26bdfee-3ced-4295-a133-5e9987f21611 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Raissi, P
Reference 17
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.
Observation 86b7ae7a-7383-41b5-b35c-2d28ab0c840c · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 18
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.
Observation 24e82321-7700-4f41-bb64-2d61f93463a7 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Bar-Sinai, S
Reference 19
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.
Observation 080a5b47-a049-4765-b529-44d161dfa208 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Sanchez-Gonzalez, J
Reference 20
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.
Observation 0effcfd6-1f29-474f-9c6f-9de42b7b5d26 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Pathak, B
Reference 21
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.
Observation 566d9ef9-6b55-4534-b43f-1fc1ccc203a9 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 22
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.
Observation 589b7645-472d-4c92-af45-9757ec4058be · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 23
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.
Observation 5a707703-44dc-4176-8719-585819e87054 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Vaswani, N
Reference 24
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.
Observation ca0c33e7-4b72-41c0-acc7-e6772c4c5b67 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Geneva, N
Reference 25
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.
Observation 196c514e-23ca-4609-8863-3525de9f8ab4 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations LeCun, Y
Reference 26
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.
Observation 6e7ac1f4-97a7-41ff-8ce1-34432dc211a6 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Karpatne, G
Reference 27
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.
Observation bac3966f-2e69-4930-acb5-0ae781cf1ad4 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 28
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.
Observation 4d1f197e-647d-4630-ad11-bbe1bb52c02b · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 29
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.
Observation 4fb54533-965e-4d8a-b799-c06075e28d4b · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Kovachki, Z
Reference 30
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.
Observation cb0143f0-64e0-44b1-94f5-db43a42a9fcb · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Kovachki, S
Reference 31
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.
Observation 9244d4a5-061b-499b-bae2-c66eccb7f23a · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Fourier Neural Operator for Parametric Partial Differential Equations
Reference 32
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 27a73b3a-a5dd-4629-a4e7-df0555725faa · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Neural Operator: Graph Kernel Network for Partial Differential Equations
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c65e2351-0b13-4174-82e2-c8cfd61d9d1a · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Gupta, X
Reference 34
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.
Observation 67798f36-48a1-4e99-8ea8-ed8080be8442 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Wavelet neural operator: a neural operator for parametric partial differential equations
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6cf8ac43-4f6f-47e8-8434-1c8b94b7e249 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Michalowska, S
Reference 36
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.
Observation 12d28bf2-1f7e-4c69-846e-934217371f8e · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Karumuri, L
Reference 37
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.
Observation f07679be-04e3-4c06-ac2a-4224f048e023 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 38
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.
Observation 3c60b245-f903-4a64-a840-a9c0dc056fea · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 39
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.
Observation b9cf0aa7-4e27-42fc-a2d1-d5600ef27ff7 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 40
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.
Observation e4022315-2e05-4b5d-9911-46bd8fe8f652 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 41
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.
Observation c0326427-3710-44b1-a391-b001cc083861 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 42
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.
Observation 3a0b5535-f5b0-45a2-b005-8d3f5e5e12b3 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Multi-level Residual Networks from Dynamical Systems View
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d15aac7e-1ea9-4300-85b4-81947ff77d68 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Zhang, Z
Reference 44
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.
Observation ffe07b04-f7f4-4d30-8969-cf7afb21b734 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations FractalNet: Ultra-Deep Neural Networks without Residuals
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0e6ab3e5-95d5-49b7-b6fb-160f4557f857 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 46
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.
Observation ace10da9-e8fe-43e1-9ede-d41814047240 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 47
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.
Observation 6329a4a0-3d86-4417-a585-a4764a481a78 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 48
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.
Observation 9d634391-b689-4dba-89f2-587300e25cdf · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 49
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.
Observation 1d12cd10-8260-4d05-b6bd-ce49001979dc · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 50
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.
Observation e5f4b704-2d58-460e-9d3d-81f615363c12 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 51
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.
Observation 05ecbdc8-65ad-4956-9315-d076c9f68191 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 52
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.
Observation f2e7ccd8-4f70-4e09-857c-da2aaca5d2ba · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 53
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.
Observation 94fb9578-762e-4911-9244-4bb71c944f0d · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Adam: A Method for Stochastic Optimization
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6699293c-0148-4a0d-8655-e967bb1d483a · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 55
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.
Observation 278147cf-73b5-4f78-9ca3-aa1b70c533a1 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 56
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.
Observation 17948a3f-e246-4f36-ba7b-b045139e1c04 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 57
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.
Observation 0376d904-afee-49c7-a764-85cf899c95d3 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 58
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.
Observation 0d2f1e39-4f72-4aaa-a219-0ec043ab3a28 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations V ervloet, F
Reference 59
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.
Observation a4aa0bad-f915-4136-8b1a-d3c75e8b28ce · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Halatek, E
Reference 60
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.
Observation c05d3084-9c3d-4372-b4fc-642fc1902417 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Unresolved cited work
Reference 61
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.
Observation 1a7039c2-9600-4f9d-b2a0-97e439407745 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Bruna, B
Reference 62
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.
Observation d0c088f9-ebda-4ebe-ab0e-8a263c104388 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Griewank, A
Reference 63
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.
Observation fbd01193-e5c0-4248-8811-7aef4b5dc84c · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Stochastic Taylor Derivative Estimator: Efficient amortization for arbitrary differential operators
Reference 64
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.
Observation a674a528-66b7-44ab-918a-30b98df80bc0 · outbound
PMNO: A novel physics guided multi-step neural operator predictor for partial differential equations Glorot, Y
Reference 65
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.
No inbound Pith citation observations are available.