Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T16:44:48.120963Z
Paper Citation Record · LEDGER
Hierarchical rank-evolving representation for physics-informed neural networks
As of 16 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 0 inbound Pith citation observations for arXiv:2608.09483.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
Reference resolution
54 of 54 outbound references displayed
- verified exact9
- verified fuzzy1
- unresolved32
- parse uncertain0
- malformed identifier2
- metadata mismatch10
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b56856da-6b70-4218-bb26-7c6523c556f3 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 1
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-11T16:44:50.022215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6bee5f21-b903-4108-9b28-d11b35ebfad6 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 2
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-11T16:44:49.960869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d7065738-87fa-4533-9a92-1268311ae33c · outbound
This paper cites Rocha, S.
Hierarchical rank-evolving representation for physics-informed neural networks Rocha, S
Reference 3
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-11T16:44:49.892952Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c6bada1e-eb0d-4796-8b53-65065a1ab4ae · outbound
This paper cites Würth, N.
Hierarchical rank-evolving representation for physics-informed neural networks Würth, N
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T16:44:47.846320Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4ac8b1af-4980-4a81-9448-96a4d82023c6 · outbound
This paper cites doi:10.1073/pnas.2530330123.
Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1073/pnas.2530330123
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T16:44:47.954528Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac073523-7385-498f-a7ef-f5ba5b3b3e0b · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 6
- Resolution
- verified exact
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7b84aedc-103e-47ab-86a2-28e34727583d · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 7
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1b403913-18b5-4638-b587-72e6b45f6f27 · outbound
This paper cites Shang, C.
Hierarchical rank-evolving representation for physics-informed neural networks Shang, C
Reference 8
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44853c13-2280-4f82-a742-ba6baf8c72db · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-11T16:44:48.258338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation db062de4-4719-4a47-8eaf-e9591b824c72 · outbound
This paper cites Martínez-Lera, M.
Hierarchical rank-evolving representation for physics-informed neural networks Martínez-Lera, M
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T16:44:47.973243Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5962d968-54d2-4f0d-826f-98a5beeec6cd · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 11
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-11T16:44:49.643712Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a522baa4-105d-4aa9-a125-4df9d2f0586a · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 12
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-11T16:44:49.582116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 899fcd0c-b018-4eec-8f3d-f4f411ecd772 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T16:44:47.982764Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7cc5ddb8-d8c5-4c72-970b-2924bc215434 · outbound
This paper cites Hutzenthaler, A.
Hierarchical rank-evolving representation for physics-informed neural networks Hutzenthaler, A
Reference 14
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-11T16:44:50.080794Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cae41f4d-e8d8-4167-b269-0309c90eca8f · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 15
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d55fc9ad-4634-414c-a652-75eb4f9f8a04 · outbound
This paper cites Raissi, P.
Hierarchical rank-evolving representation for physics-informed neural networks Raissi, P
Reference 16
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-11T16:44:47.992506Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fbfcd23a-69cb-42b4-bddb-5eb73022ae1d · outbound
This paper cites Cuomo, V.
Hierarchical rank-evolving representation for physics-informed neural networks Cuomo, V
Reference 17
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3ca9c82c-17f9-45d5-b8d2-cb1f0c64c2ca · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 18
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-11T16:44:49.459422Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8b788c24-66a2-4172-8da8-e3c5febb821f · outbound
This paper cites doi:10.1016/j.jcp.2025.114297.
Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1016/j.jcp.2025.114297
Reference 19
- Resolution
- metadata mismatch
- raw_fallback, observed 2026-08-11T16:44:49.395995Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9d20a4ee-5d5b-4260-a637-71496ad0fdda · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 20
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82c5eacb-74db-4d16-97f9-0f5dbcae8497 · outbound
This paper cites Calin, Universal Approximators, Springer International Publishing, Cham, 2020, pp.
Hierarchical rank-evolving representation for physics-informed neural networks Calin, Universal Approximators, Springer International Publishing, Cham, 2020, pp
Reference 21
- Resolution
- verified exact
- doi, observed 2026-08-11T16:44:48.232833Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 120ce8c3-a116-4553-a239-124c9c85bb09 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 22
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 557dafde-fa26-437f-aa51-275392063a1f · outbound
This paper cites doi:10.1016/j.jcp.2023.112437.
Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1016/j.jcp.2023.112437
Reference 24
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 86c63fa3-ce40-4bb2-b6df-84ef7936d56e · outbound
This paper cites Sahli Costabal, S.
Hierarchical rank-evolving representation for physics-informed neural networks Sahli Costabal, S
Reference 25
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d5d069b3-816e-4be5-a9da-bdf46f3f5faa · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 26
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a7ddb5ca-1590-4126-9a59-0c3a0ea0aff9 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 27
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 64d6fcc9-275e-4e9a-8a01-c65f979635a7 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T16:44:50.071115Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c29c6196-11b0-41d2-be5f-6781bd000715 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 29
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fe11cde-b434-4e6d-9360-4a65e7c37532 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 30
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eb8ec232-8e10-49d0-8c7e-2cd83384e915 · outbound
This paper cites 26548–26560.
Hierarchical rank-evolving representation for physics-informed neural networks 26548–26560
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T16:44:50.061489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 34bcc3bc-a7a4-4839-88a5-a885942d9ca9 · outbound
This paper cites doi:10.1137/20M1318043.
Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1137/20M1318043
Reference 32
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8392b033-ec72-47f3-a997-e90232edceb0 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 33
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3292fbbf-5b68-4f8c-98bc-60180abe9421 · outbound
This paper cites Zhang, J.
Hierarchical rank-evolving representation for physics-informed neural networks Zhang, J
Reference 34
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3badb5ab-8aca-427a-84dc-6893770f946b · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 35
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 914149ff-7d8d-4d9d-86ec-25fc8130fea8 · outbound
This paper cites doi:10.1016/j.jcp.2026.115071.
Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1016/j.jcp.2026.115071
Reference 36
- Resolution
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- raw_fallback, observed 2026-08-11T16:44:48.641245Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8eeb8a6e-0211-4a68-8a00-3248c8c26bb5 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 37
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a3e24b33-defa-4e33-a5e3-4694bb3959f1 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 38
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 036abe7e-5aec-41e9-bcba-1dbf23f88d0c · outbound
This paper cites TT-PINN: A Tensor-Compressed Neural PDE Solver for Edge Computing.
Hierarchical rank-evolving representation for physics-informed neural networks TT-PINN: A Tensor-Compressed Neural PDE Solver for Edge Computing
Reference 39
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b61eb22d-0c0f-4686-b4f6-a298732a3bdd · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 40
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d259af8f-b9e7-40f1-9f09-26a40efe7366 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 41
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5c3d62d7-2132-41ae-b585-c3dfaffed184 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 42
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 445ec391-c287-401a-82f7-52d2ed94df89 · outbound
This paper cites Mandl, S.
Hierarchical rank-evolving representation for physics-informed neural networks Mandl, S
Reference 43
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bc44de9f-85b2-44b7-97e4-2b2061aafc82 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 44
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c901049-082f-47ac-b45a-55e9be2ba526 · outbound
This paper cites Tensor Ring Decomposition.
Hierarchical rank-evolving representation for physics-informed neural networks Tensor Ring Decomposition
Reference 45
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 05e59129-7fc3-48e7-9ee9-10d95b99f9f0 · outbound
This paper cites Zheng, T.-Z.
Hierarchical rank-evolving representation for physics-informed neural networks Zheng, T.-Z
Reference 46
- Resolution
- verified exact
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c6092905-6d76-400e-8a13-9ae6e0d979ab · outbound
This paper cites doi:10.1007/s10915-022-01841-8.
Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1007/s10915-022-01841-8
Reference 47
- Resolution
- verified exact
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 15f302a9-a7ac-41d5-9175-55e54c2638f9 · outbound
This paper cites 22413–22422.
Hierarchical rank-evolving representation for physics-informed neural networks 22413–22422
Reference 48
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T16:44:48.097079Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 07a4e9bd-36d6-412b-bd19-85eefef899f1 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 49
- Resolution
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- raw_fallback, observed 2026-08-11T16:44:48.486682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation c05600d4-680b-4ee3-9f13-23bd02a8b4c5 · outbound
This paper cites doi:10.1016/j.jcp.2022.111510.
Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1016/j.jcp.2022.111510
Reference 50
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 353a88d1-83d3-4b56-9d6d-313c2cc3e72c · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 51
- Resolution
- verified exact
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 81f922cc-0d63-4f4f-90bf-ba691a13c5ba · outbound
This paper cites Arzani, J.-X.
Hierarchical rank-evolving representation for physics-informed neural networks Arzani, J.-X
Reference 52
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a716d6c3-de58-469e-b2a3-96bb58d79c96 · outbound
This paper cites doi:10.1109/TPAMI.2023.3341688.
Hierarchical rank-evolving representation for physics-informed neural networks doi:10.1109/TPAMI.2023.3341688
Reference 53
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7736fc60-c133-4e59-b336-f058d85d20a1 · outbound
This paper cites an unresolved cited work.
Hierarchical rank-evolving representation for physics-informed neural networks Unresolved cited work
Reference 54
- Resolution
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Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 3d7f8101-4667-4889-96ba-864c4ead6506 · outbound
This paper cites Kochkov, J.
Hierarchical rank-evolving representation for physics-informed neural networks Kochkov, J
Reference 55
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.