Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T14:57:35.110816Z
Paper Citation Record · LEDGER
A Learning-based Domain Decomposition Method
As of 8 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 0 inbound Pith citation observations for arXiv:2507.17328.
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 2026-08-07T06:34:17.273281+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
Reference resolution
57 of 57 outbound references displayed
- verified exact1
- verified fuzzy18
- unresolved38
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation d48cd160-a0b5-48ea-91f0-34734fb14c39 · outbound
This paper cites Bullo, A.
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.765526Z
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 d8d8456d-1882-49bb-bc88-045ff7199d6f · outbound
This paper cites Leng, Z.-g.
A Learning-based Domain Decomposition Method Leng, Z.-g
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.755670Z
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 1d9a0e67-050e-4ebb-ac99-82fd1a330d95 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.745098Z
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 74b71cc8-8195-44bf-bb18-3a3fa2041292 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.733967Z
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 84f9bf69-5446-4ea0-bc0d-a49c09ba518c · outbound
This paper cites Stepinski, T.
A Learning-based Domain Decomposition Method Stepinski, T
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.724110Z
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 03fe90c2-d589-486d-a347-a951b798b341 · outbound
This paper cites Gilbarg, N.
A Learning-based Domain Decomposition Method Gilbarg, N
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.713666Z
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 31405b8b-1ff6-4d64-93df-ab09a28a3b17 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.703502Z
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 e927f6cc-cb4c-4133-babe-bff1a94c990e · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.693196Z
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 90361da8-36e3-461b-a0d7-19b586fe694a · outbound
This paper cites Raissi, P.
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:34.918861Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f37ceaf8-19bb-4317-aeb1-83f668409732 · outbound
This paper cites Yu, et al., The deep ritz method: a deep learning-based numerical algorithm for solving variational problems, Communications in Mathe- matics and Statistics 6 (1) (2018) 1–12.
A Learning-based Domain Decomposition Method Yu, et al., The deep ritz method: a deep learning-based numerical algorithm for solving variational problems, Communications in Mathe- matics and Statistics 6 (1) (2018) 1–12
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:34.923060Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac212a27-f355-4411-86d9-a5f45008be08 · outbound
This paper cites Variational Physics-Informed Neural Networks For Solving Partial Differential Equations.
A Learning-based Domain Decomposition Method Variational Physics-Informed Neural Networks For Solving Partial Differential Equations
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:34.926649Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ee747f20-ac9c-4e04-aee7-d333ed2d9c02 · outbound
This paper cites Kovachki, Z.
A Learning-based Domain Decomposition Method Kovachki, Z
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:34.931083Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6ca19842-6da4-492c-8699-7f584b9d9061 · outbound
This paper cites DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators.
A Learning-based Domain Decomposition Method DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:34.935909Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d3d0261-5adc-4d88-85b5-b901e9dd6231 · outbound
This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.
A Learning-based Domain Decomposition Method Fourier Neural Operator for Parametric Partial Differential Equations
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:34.941321Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d142c538-d332-4a79-b37f-b5a298219981 · outbound
This paper cites Neural Operator: Graph Kernel Network for Partial Differential Equations.
A Learning-based Domain Decomposition Method Neural Operator: Graph Kernel Network for Partial Differential Equations
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:34.945336Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85858392-f8a1-44ad-992f-95e3e528fc0e · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.664498Z
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 83158c10-f259-47c2-a1d7-27c60b426699 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 17
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9916202e-1246-4d87-9220-8c1a3b81417f · outbound
This paper cites Calvello, N.
A Learning-based Domain Decomposition Method Calvello, N
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:34.956816Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40d8ba9c-1e4e-4acd-8df5-a349761cfa12 · outbound
This paper cites Neural Interpretable PDEs: Harmonizing Fourier Insights with Attention for Scalable and Interpretable Physics Discovery.
A Learning-based Domain Decomposition Method Neural Interpretable PDEs: Harmonizing Fourier Insights with Attention for Scalable and Interpretable Physics Discovery
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T14:57:35.222445Z
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 341211fc-fbdb-4d9c-bb59-ac5e18c05560 · outbound
This paper cites Goswami, A.
A Learning-based Domain Decomposition Method Goswami, A
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.648801Z
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 57b3d059-5cfb-4ef6-b137-d0e9d53bfee2 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:34.969117Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 24d1d89d-71e7-43d4-befc-ad2970220bfd · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.633087Z
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 04a3de34-a14b-4353-acd7-a60e829ad5e1 · outbound
This paper cites Lions, et al., On the schwarz alternating method.
A Learning-based Domain Decomposition Method Lions, et al., On the schwarz alternating method
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.622246Z
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 1cb95a05-ed0d-4f40-a6ef-7e9b7ed9a14e · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.612031Z
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 2d677186-8459-4efe-b026-63adf85f545d · outbound
This paper cites Toselli, O.
A Learning-based Domain Decomposition Method Toselli, O
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.601812Z
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 d161b24c-a4b4-4401-88b0-53749789e948 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.590999Z
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 ccb8aaf5-024a-44ed-b1a7-7ab7558b936d · outbound
This paper cites Klawonn, M.
A Learning-based Domain Decomposition Method Klawonn, M
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.581328Z
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 3f2040d3-215e-4e88-bcf0-6dd2023c14ef · outbound
This paper cites Heinlein, A.
A Learning-based Domain Decomposition Method Heinlein, A
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.570670Z
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 f17ef403-400a-45a3-b091-6aac64022fd5 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 29
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf9e155e-0bb0-4efc-b8b3-b965f68b587c · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.553959Z
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 6e8acc42-01c8-4ca7-8fc2-aec46d1a404e · outbound
This paper cites Stiller, F.
A Learning-based Domain Decomposition Method Stiller, F
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.543154Z
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 93c6f8ab-caee-41fa-ac50-d520f611fc65 · outbound
This paper cites Bischof, M.
A Learning-based Domain Decomposition Method Bischof, M
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.533449Z
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 c7207a76-83d5-47e9-9cdf-426642ac7c1a · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.522641Z
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 963b480d-0901-4ab7-b117-d62611fc2705 · outbound
This paper cites Distributed physics informed neural network for data-efficient solution to partial differential equations.
A Learning-based Domain Decomposition Method Distributed physics informed neural network for data-efficient solution to partial differential equations
Reference 34
- Resolution
- unresolved
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9f8f37d-a500-4275-ae25-a9a51036e84f · outbound
This paper cites A Generalized Schwarz-type Non-overlapping Domain Decomposition Method using Physics-constrained Neural Networks.
A Learning-based Domain Decomposition Method A Generalized Schwarz-type Non-overlapping Domain Decomposition Method using Physics-constrained Neural Networks
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:35.022819Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5ae2d8d-48c8-41f6-9a1a-13dd96a7926f · outbound
This paper cites Moseley, A.
A Learning-based Domain Decomposition Method Moseley, A
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.511617Z
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 6ab00610-bec1-48b2-9c79-9c4db8b09d82 · outbound
This paper cites Dolean, A.
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.501521Z
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 8fb070f1-503a-41ec-9b2d-467b0abdd481 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.491296Z
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 70c463ef-6565-463e-97bc-58c17778ff2c · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.481918Z
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 913458b3-8513-4c4a-a333-bc83c732e748 · outbound
This paper cites Adams, J.
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.471940Z
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 212ae792-b6f0-467c-8681-7de9ced6267e · outbound
This paper cites FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators.
A Learning-based Domain Decomposition Method FourCastNet: A Global Data-driven High-resolution Weather Model using Adaptive Fourier Neural Operators
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:35.046608Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f60a460-f412-44af-88fe-57e650ddb70d · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 42
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.461071Z
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 ec0f1f3c-4df4-44d4-b861-416852c55aad · outbound
This paper cites Nonlocality and Nonlinearity Implies Universality in Operator Learning.
A Learning-based Domain Decomposition Method Nonlocality and Nonlinearity Implies Universality in Operator Learning
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:35.054779Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e1ef2c0-5130-49d1-9839-b2fec9e136b5 · outbound
This paper cites Gilbarg, N.
A Learning-based Domain Decomposition Method Gilbarg, N
Reference 44
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.451289Z
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 9017b7fa-6f65-4245-aaa3-684014f3159a · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 45
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.440167Z
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 a4d7583b-f6d7-41c9-a8c6-f293d0ac2f35 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 46
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.429776Z
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 7aba9df7-8ecf-4fb5-b12d-007a0091d4e9 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 47
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.418301Z
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 6f2acba8-0a9d-42f7-89ec-a34e3a8be794 · outbound
This paper cites Neural Operators with Localized Integral and Differential Kernels.
A Learning-based Domain Decomposition Method Neural Operators with Localized Integral and Differential Kernels
Reference 48
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:35.076794Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22fd9963-6b70-4149-95a9-5f18019528d0 · outbound
This paper cites Ronneberger, P.
A Learning-based Domain Decomposition Method Ronneberger, P
Reference 49
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:35.080715Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4080e7f-d804-4f9b-83f3-d088efc48a26 · outbound
This paper cites Goodfellow, Y.
A Learning-based Domain Decomposition Method Goodfellow, Y
Reference 50
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.397578Z
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 1ff3f585-5a49-42a1-be0e-bf81c1130d13 · outbound
This paper cites PyTorch: An Imperative Style, High-Performance Deep Learning Library.
A Learning-based Domain Decomposition Method PyTorch: An Imperative Style, High-Performance Deep Learning Library
Reference 51
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:35.088009Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1828efe8-ea9d-4dca-bee1-3520d996a564 · outbound
This paper cites DeVore, G.
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.386422Z
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 3f1fbcaf-e914-4f7c-9ab4-34f8adb7c3e1 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 53
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T14:57:35.374729Z
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 8cbd0894-768b-4a56-93e1-19cb9dbdc623 · outbound
This paper cites an unresolved cited work.
A Learning-based Domain Decomposition Method Unresolved cited work
Reference 54
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:35.100146Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8ca38151-625d-4b6b-92ac-fbda6a7b1f19 · outbound
This paper cites Krizhevsky, I.
A Learning-based Domain Decomposition Method Krizhevsky, I
Reference 55
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:35.103696Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3c82cd26-f957-42d7-b97d-5cdc7fcd9ff4 · outbound
This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.
A Learning-based Domain Decomposition Method An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale
Reference 56
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T14:57:35.107477Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 930d3bfb-43c8-4298-b285-54f429a83d16 · outbound
This paper cites Bhattacharya, N.
A Learning-based Domain Decomposition Method Bhattacharya, N
Reference 57
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T14:57:35.352435Z
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.
Pith citing papers
No inbound Pith citation observations are available.