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Paper Citation Record · LEDGER

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model

As of 7 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 2 inbound Pith citation observations for arXiv:2509.01293.

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

pith.paper-citation-record.v1
2509.01293 v3

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:48:34.698218Z

measured 55 of 55 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T08:47:34.631129Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-11T00:20:51.556917Z

Reference resolution

53 of 53 outbound references displayed

  • verified exact3
  • verified fuzzy36
  • unresolved14
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f67b93d3-00f7-43cc-8385-a4add1b5eaa9 · outbound

This paper cites Anderson, G.B.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Anderson, G.B

Reference 1

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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.

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Observation d8ea54ea-9097-45e2-a44d-5a3e945cf158 · outbound

This paper cites an unresolved cited work.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Unresolved cited work

Reference 2

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

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Observation f9ad1f7a-099e-4cdb-974f-1fb08e68f922 · outbound

This paper cites Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Solving Allen-Cahn and Cahn-Hilliard Equations using the Adaptive Physics Informed Neural Networks

Reference 3

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Observation f1b8d73f-b8b2-41d3-aca0-ab29e8a1021c · outbound

This paper cites an unresolved cited work.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Unresolved cited work

Reference 4

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

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Observation 5b13bc19-8a08-4159-bc34-e74d2656f35e · outbound

This paper cites Cahn and J.E.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Cahn and J.E

Reference 5

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Observation f47c928c-9ffa-45df-9d09-aa73dc5d9ac2 · outbound

This paper cites Gurtin, D.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Gurtin, D

Reference 6

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

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Observation 7265d98e-b76c-4ee3-93f7-ab9bb23cd0db · outbound

This paper cites Lowengrub and L.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Lowengrub and L

Reference 7

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Observation ae719275-ac3f-41d3-8e7c-bbcfadab4c6b · outbound

This paper cites ten Eikelder, K.G.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model ten Eikelder, K.G

Reference 8

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Observation 753cb57e-6448-4995-b28a-d9793d9e6bd3 · outbound

This paper cites Abels, H.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Abels, H

Reference 9

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

source=pdf_text observed=2026-08-05T12:48:26.711750Z digest=sha256:e674e49e725ba0a74888e9471a0b3f676d6338c7aea2533c179b07980d68b323

Observation 1397c44a-58f0-40eb-a2b1-09b8bc485ee9 · outbound

This paper cites AunifiedframeworkforN-phaseNavier–StokesCahn–HilliardAllen–Cahnmixture models with non-matching densities.Journal of Fluid Mechanics, 1013:A26, 2025.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model AunifiedframeworkforN-phaseNavier–StokesCahn–HilliardAllen–Cahnmixture models with non-matching densities.Journal of Fluid Mechanics, 1013:A26, 2025

Reference 10

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Observation 8dd42cf5-99ca-4063-8838-45df348fd602 · outbound

This paper cites A Thermodynamically Consistent Free Boundary Model for Two-Phase Flows in an Evolving Domain with Bulk-Surface Interaction.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model A Thermodynamically Consistent Free Boundary Model for Two-Phase Flows in an Evolving Domain with Bulk-Surface Interaction

Reference 11

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local_arxiv, observed 2026-08-05T12:48:35.713797Z

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Observation 123bcad3-15b8-4508-aa83-ec5bee696881 · outbound

This paper cites Compressible N-phase fluid mixture models.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Compressible N-phase fluid mixture models

Reference 12

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source=pdf_text observed=2026-08-05T12:48:27.242069Z digest=sha256:68d0fccbcecf1082b22041ca26d3ec6d9c76478d2124513dc3fc620c8b576548

Observation 4b7784b6-41b0-41ba-b6d2-a4a4eb1696f2 · outbound

This paper cites Kay and R.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Kay and R

Reference 13

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

source=pdf_text observed=2026-08-05T12:48:27.402413Z digest=sha256:9d30ce97343c31e0d0de5c563a3fe9a70125be415317f375345d79f0c1f26268

Observation e7dd942f-8d6d-486c-ace6-e0c8703b35c7 · outbound

This paper cites Minjeaud.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Minjeaud

Reference 14

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

source=pdf_text observed=2026-08-05T12:48:27.627845Z digest=sha256:8332cb9373411cb317c13889bbd7c9fc78e6d55427e13725e03b74054fcb7020

Observation 6b25536b-731f-43b2-9976-c42ee74194c6 · outbound

This paper cites ten Eikelder and D.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model ten Eikelder and D

Reference 15

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

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Observation ce40a024-5926-472d-9c96-86bc70e97ed6 · outbound

This paper cites Garcke and S.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Garcke and S

Reference 16

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Observation b225edfc-8fc4-49fe-a339-5e8d7537c875 · outbound

This paper cites Ebenbeck and H.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Ebenbeck and H

Reference 17

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

source=pdf_text observed=2026-08-05T12:48:28.204054Z digest=sha256:910ee0237256e1ef7d61de0586b6f34d1603295ccbcdd19055d0fce7f4f7d77e

Observation 94cca9d3-1e4b-4ed4-bf90-c3e9d35268b3 · outbound

This paper cites Bertozzi, S.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Bertozzi, S

Reference 18

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

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Observation 9f3c3b8b-28f1-4a09-959f-1cfae4a78a11 · outbound

This paper cites Khain and L.M.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Khain and L.M

Reference 19

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

source=pdf_text observed=2026-08-05T12:48:28.578495Z digest=sha256:a52ef53c3539c0932aaf9d1e08198813d7e3674b2e8fa84a20a1ee29e7e13f68

Observation 5a9e26cb-9f53-4626-abfa-12d9d3beebc3 · outbound

This paper cites Elson, E.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Elson, E

Reference 20

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Observation 9f8a4b66-76ff-4328-9e26-cc0bb09352a9 · outbound

This paper cites Berry, C.P.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Berry, C.P

Reference 21

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Observation 74ea4108-5227-448c-b400-a5fd32224e14 · outbound

This paper cites Brown, B.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Brown, B

Reference 22

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source=pdf_text observed=2026-08-05T12:48:29.140277Z digest=sha256:8b96f23e4e8c58862221054bc278cb065f25b732d8bd93308ad02fc1df01f056

Observation ba098b36-3cd7-4f8b-80a1-b8bc22055260 · outbound

This paper cites Voulodimos, N.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Voulodimos, N

Reference 23

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Observation fb1a18d8-a17c-4d3c-a5fa-245e1881e1cb · outbound

This paper cites Ding.Data-driven design of fault diagnosis and fault-tolerant control systems.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Ding.Data-driven design of fault diagnosis and fault-tolerant control systems

Reference 24

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source=pdf_text observed=2026-08-05T12:48:29.398351Z digest=sha256:cc540cf574403f032aadfb162602ae19097d1b222cbc4babee8e92882d9e0778

Observation a3c1b4c1-0454-410b-b29d-bf4515b49c5e · outbound

This paper cites Brunton, B.R.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Brunton, B.R

Reference 25

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source=pdf_text observed=2026-08-05T12:48:29.580983Z digest=sha256:066ae3a34fea146427c5ea479153053c2f4e0d1c7f03f4b23d5a16a921559d90

Observation 242eacce-bbad-4457-a6ec-3d0b39f785fb · outbound

This paper cites Karniadakis, I.G.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Karniadakis, I.G

Reference 26

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

source=pdf_text observed=2026-08-05T12:48:29.822042Z digest=sha256:3375d654624fc8ecf52a24062764c6142778130e40d880d27f460ec29ff02f8f

Observation f3c543af-3920-4773-aa1d-2afd02c56a24 · outbound

This paper cites Cheng, M.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Cheng, M

Reference 27

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source=pdf_text observed=2026-08-05T12:48:29.997787Z digest=sha256:b4a8a11befa7faab4f39ed33c5d8f038c41200cbd0157ba2949c4b97d56cd702

Observation ae72998c-6827-419d-aa7b-37f25c9de35a · outbound

This paper cites Quantum-Informed Machine Learning for Predicting Spatiotemporal Chaos with Practical Quantum Advantage.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Quantum-Informed Machine Learning for Predicting Spatiotemporal Chaos with Practical Quantum Advantage

Reference 28

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local_arxiv, observed 2026-08-05T12:48:35.304782Z

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

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Observation 88926a09-ae18-4c74-a27e-fb61fa7f9e73 · outbound

This paper cites Fukami, Y.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Fukami, Y

Reference 29

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raw_fallback, observed 2026-08-05T12:48:42.872778Z

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source=pdf_text observed=2026-08-05T12:48:30.203839Z digest=sha256:0a3dd8ca163121b0a10b95c99576d4a77b83fa2c1bdb098917845e9b82b278d8

Observation 73431e09-d46e-4b44-8747-f6f75311c9e4 · outbound

This paper cites Xue, H.-D.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Xue, H.-D

Reference 30

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raw_fallback, observed 2026-08-05T12:48:42.701514Z

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

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Observation 45749cfb-9e62-422d-93d2-f0c56bede874 · outbound

This paper cites an unresolved cited work.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Unresolved cited work

Reference 31

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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.

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Observation 80bf934f-3b74-4067-914b-4c95fd290cdb · outbound

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Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Unresolved cited work

Reference 32

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source=pdf_text observed=2026-08-05T12:48:30.722278Z digest=sha256:1405a1b35d6dc867d13506b4f37b6c9d5f635867621ac503275078e60e5e5e41

Observation 7d6e9afe-640f-4215-9f2f-a92b8bf7264a · outbound

This paper cites Cheng, F.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Cheng, F

Reference 33

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raw_fallback, observed 2026-08-05T12:48:41.932716Z

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

source=pdf_text observed=2026-08-05T12:48:30.905684Z digest=sha256:22eb57f8eb14c8cfe57e7f936a8991436865dc4f2f040bb11018e78e12519971

Observation c5cd1b54-2e09-4128-a3ed-ff107c0f3827 · outbound

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Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Unresolved cited work

Reference 35

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raw_fallback, observed 2026-08-05T12:48:41.616988Z

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

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Observation e17a21ef-a4db-467b-af25-bd681439a145 · outbound

This paper cites an unresolved cited work.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:48:41.312447Z

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=2026-08-05T12:48:31.441694Z digest=sha256:b267057dde6bfa6dc13521af79504bfa348c0a73a936f006015c5d8a216d1a78

Observation f083d83c-b0f1-4357-a104-2291fae6c4a6 · outbound

This paper cites Shen, J.-J.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Shen, J.-J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:41.000062Z

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=2026-08-05T12:48:31.647009Z digest=sha256:393df0aa57c8fa60ac2951153fbd0516a28b3057fdaef6b55041be785795507f

Observation 6cd419b3-0541-4d5e-b2fd-0fdd521769fb · outbound

This paper cites an unresolved cited work.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:48:40.588701Z

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=2026-08-05T12:48:31.793797Z digest=sha256:8dd0872144d4fbe259fb8b8c9860ab163348b03507b263be418bb9d8c29dbaad

Observation 7c48df84-0b2f-4c81-8888-399841a9dee9 · outbound

This paper cites Teichert, A.R.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Teichert, A.R

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:40.274235Z

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=2026-08-05T12:48:31.950137Z digest=sha256:dd46b24ee1ef3b158a733e3594b1d2a0af5b38db8fc0f969aa1123e9550d39bd

Observation f6c3c5d7-4599-4840-a283-c9eebf00f33a · outbound

This paper cites Oommen, K.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Oommen, K

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:39.957625Z

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=2026-08-05T12:48:32.128281Z digest=sha256:2b5003cbf4a1c440dd00f4b853d81150a64a5fe23794e4030c0010a84bd9d96d

Observation bd2cfa5f-7153-4ada-8d4d-064cadadeb74 · outbound

This paper cites Cohen and M.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Cohen and M

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:39.496898Z

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=2026-08-05T12:48:32.380557Z digest=sha256:11bdcecbda3868ec74eb983f1272e6f84db4a8d68cee9b4d8493e481abc02768

Observation 4861859c-ede4-4fb9-84a9-b768368ab89f · outbound

This paper cites Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-05T12:48:32.614372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:48:32.614372Z digest=sha256:89c2faa036c1086a33bc4446932c6585f7df0efdf3c99219596c4b3d30931b3d

Observation 4986a902-066c-4722-b035-265a176ba45a · outbound

This paper cites Schütt, O.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Schütt, O

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:39.066100Z

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=2026-08-05T12:48:32.815621Z digest=sha256:fd193c62489c812e11837d2ee264db5f20e54cf0584f92fcdbef92d3b3158de7

Observation 9bea5b38-1e8c-4365-9093-849e4db3fee6 · outbound

This paper cites Novick-Cohen.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Novick-Cohen

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:38.716409Z

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=2026-08-05T12:48:32.997873Z digest=sha256:b46c47819381dfc266c268bca276979846e0d34069b2d3d25643462ae4e946ba

Observation 893b6e77-311d-4930-8cb8-04058ad4671b · outbound

This paper cites Kovachki, Z.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Kovachki, Z

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:38.418709Z

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=2026-08-05T12:48:33.178691Z digest=sha256:85c9e971f4463ad6ee2835d05711e2f1c75a71e0ebe407a26911b40a0dc8e763

Observation 22dc69ec-cd7c-4233-b43e-c4d952fb6378 · outbound

This paper cites Evans.Partial differential equations, volume 19.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Evans.Partial differential equations, volume 19

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:38.119746Z

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=2026-08-05T12:48:33.377270Z digest=sha256:c9d9705399d300e079ae3948a9eea3d78ce3721d37b7bf4b45d9358d5f241130

Observation 71d6254c-2694-44b8-b59e-741783dd23f3 · outbound

This paper cites Fourier Neural Operator for Parametric Partial Differential Equations.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Fourier Neural Operator for Parametric Partial Differential Equations

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-05T12:48:33.546012Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:48:33.546012Z digest=sha256:35d9573ddcc31b02bb910b4d24c26258b37a7f08c7947197a5539a8485877228

Observation 618a5d3d-34f3-48bc-b4b9-6649bf27cf22 · outbound

This paper cites an unresolved cited work.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:48:37.806295Z

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=2026-08-05T12:48:33.731505Z digest=sha256:605fabfc39f4b8ff1450ffb005dc433a5119f3fdac277971b6a96713cc7cb08f

Observation f56c4c2e-a7e7-4d67-8d41-e82c7a699d4f · outbound

This paper cites Multi-componentCahn–Hilliardsystemwithdifferentboundaryconditions in complex domains.Journal of Computational Physics, 323:1–16, 2016.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Multi-componentCahn–Hilliardsystemwithdifferentboundaryconditions in complex domains.Journal of Computational Physics, 323:1–16, 2016

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:37.450931Z

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=2026-08-05T12:48:33.870688Z digest=sha256:5c81aae9d0d198be9dc945e946fd3262268eb2d6abb9c0b359600f7039f3587d

Observation 4a684a4c-5dae-4684-8efa-675bf1ce728c · outbound

This paper cites ten Eikelder, K.G.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model ten Eikelder, K.G

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:37.156669Z

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=2026-08-05T12:48:34.015328Z digest=sha256:fa19636b60af292c490a48ab791e14835ebdc3a4991ea36fbbb2ddce53d0cc2f

Observation d4b26926-8ec5-45d9-9d8e-1de671e379b7 · outbound

This paper cites an unresolved cited work.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Unresolved cited work

Reference 51

Resolution
unresolved
raw_fallback, observed 2026-08-05T12:48:36.758257Z

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=2026-08-05T12:48:34.167674Z digest=sha256:e411587f7a3b7a81b1c94f084d173f8e80d109fb2ad6270f9164886e02abc962

Observation b9b31c82-5801-41e1-be74-aafd4bb90e32 · outbound

This paper cites Phase-field modeling of elastic microphase separation.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Phase-field modeling of elastic microphase separation

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-05T12:48:34.988738Z

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=2026-08-05T12:48:34.320774Z digest=sha256:4e75bd664cdc826b064f0e5e8b4a1532c89f595a564b6f8ec4e2bf5a489c29e2

Observation 1a48f3b7-095f-4ad7-ae73-55664325fc55 · outbound

This paper cites Golovin, S.H.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Golovin, S.H

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:36.386753Z

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=2026-08-05T12:48:34.525099Z digest=sha256:014aa57dd9f360fbadab5a5bf9c82ea9d89527d3137c78e5d80dea6636f668c4

Observation d3e0a9b4-2d1c-48af-8429-83ee521247af · outbound

This paper cites Balakrishna and W.C.

Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model Balakrishna and W.C

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T12:48:36.098392Z

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=2026-08-05T12:48:34.698218Z digest=sha256:fddb4ede4a330789b79672e3ff469cd512c61eeb616a2facdc02fddcb349f263

Pith citing papers

Observation 276f193e-f885-4c4e-858f-3938b0d6af5f · inbound

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems cites this paper.

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-11T00:20:51.560037Z

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=2026-05-10T18:36:38.674342Z digest=sha256:9a8257ad133966c7f1c80e7a01da894460ff1a179c05ec68651e87466f5c4796

Observation 5b9d301e-df5f-484c-a005-170d7180515c · inbound

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems cites this paper.

MENO: MeanFlow-Enhanced Neural Operators for Dynamical Systems Equivariant U-Shaped Neural Operators for the Cahn-Hilliard Phase-Field Model

Reference 28

Resolution
unresolved
no resolver link, observed 2026-07-13T08:47:34.631129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T08:47:34.631129Z digest=sha256:c7c4e7c42e457252ad208ae7556d048c31fab76647e30300214d7805dd91d991