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Paper Citation Record · LEDGER

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance

As of 7 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:2607.24997.

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

pith.paper-citation-record.v1
2607.24997 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T04:03:29.780069Z

measured 38 of 38 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

38 of 38 outbound references displayed

  • verified exact11
  • verified fuzzy0
  • unresolved26
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation be317a4f-02ba-4dd8-a096-a5b430f7c785 · outbound

This paper cites Hohenberg, W.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Hohenberg, W

Reference 1

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.665762Z digest=sha256:78bda5e0ac828d8c6f21bc4a7c1dfec2afba7592481e471f0c7704d0c111021b

Observation 8ae710be-0e0d-40cf-a676-81d014c2db49 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 2

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source=pdf_text observed=2026-07-31T04:03:29.669910Z digest=sha256:b7f48200cad716b8ac3c0f4ce886bab6c24629958e31a920fef9e8ffefae49c2

Observation 63f444f6-e8c6-41c1-a6e7-1fef8d9df3f8 · outbound

This paper cites Fiedler, K.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Fiedler, K

Reference 3

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doi, observed 2026-07-31T04:06:03.004757Z

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=2026-07-31T04:03:29.673133Z digest=sha256:d7c53cd22d783205bcb95cbfaac7847c3d5a8c50e7b11eb72d5571f82cbec6ba

Observation 53801913-8375-4cb1-9340-68c80f2a734c · outbound

This paper cites Behler, M.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Behler, M

Reference 4

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source=pdf_text observed=2026-07-31T04:03:29.676443Z digest=sha256:cf1c969f54db25cf347bc050f250afbd1c6571065cb72c74c2d190fad45e0cd8

Observation 92420e1f-ce88-494c-9232-f9cbc9bd38f8 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 5

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source=pdf_text observed=2026-07-31T04:03:29.679514Z digest=sha256:7a64740b02de8a9d59c62671a939ab28a574ea2565d15e9eb6bc78a6812523f5

Observation e3c1d1d2-6689-4338-93cb-0d5365c9aefc · outbound

This paper cites Zhang, J.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Zhang, J

Reference 6

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-31T04:03:29.682633Z digest=sha256:5661c76f0283e1a00e39ffaca6b8212373eba35aa9bf5eb89004cf02454c4a68

Observation faa2a92d-3993-4865-afd6-82a070fb6d86 · outbound

This paper cites Batzner, A.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Batzner, A

Reference 7

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Source-reported events for the cited work

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source=pdf_text observed=2026-07-31T04:03:29.686034Z digest=sha256:0a3adbb0fee3a6a684a7e00cef203d6b63f38dd37c5f62e8d6d45322e0fedc30

Observation 95c03f3e-055f-4d4f-831a-a5089afbc5a6 · outbound

This paper cites MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fields.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance MACE: Higher Order Equivariant Message Passing Neural Networks for Fast and Accurate Force Fields

Reference 8

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source=pdf_text observed=2026-07-31T04:03:29.689156Z digest=sha256:e1321c374dd17a8db1cab5dba8ec47b161ce73e861045c9892fbcd7ab798c01a

Observation 0375a62a-c254-49b9-a8a0-0b5e3ca97f98 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 9

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source=pdf_text observed=2026-07-31T04:03:29.692191Z digest=sha256:a79d04ee6ca051b66fb298436fd76db61e4f5f30bc1cd4ef77b39c679b4e2829

Observation d583f744-9dba-4a1d-8edd-b1f7f6f1ac72 · outbound

This paper cites Hermann, Z.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Hermann, Z

Reference 10

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source=pdf_text observed=2026-07-31T04:03:29.695039Z digest=sha256:80688013c2d1cd97272ac02e6dc9133d9cf52353103ac22322cc17b334e88ca6

Observation 706a3f69-3aad-4483-a128-95200a74e221 · outbound

This paper cites Brockherde, L.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Brockherde, L

Reference 11

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source=pdf_text observed=2026-07-31T04:03:29.697716Z digest=sha256:945e14e628626a48d0bfd649d8ba67bda89853ccbb3034f65da45f74b4f1171a

Observation ffb21127-c627-47f3-8690-46f0b06ad93c · outbound

This paper cites Grisafi, A.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Grisafi, A

Reference 12

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source=pdf_text observed=2026-07-31T04:03:29.700857Z digest=sha256:437c498ad66c4b5d9ad2de6275b5957e5f30b8f05dd0f6074e48bb9607e87a33

Observation 60d6e76d-1a57-4e0b-b42a-f2ccd920e080 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 13

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.703784Z digest=sha256:4f5704166becb7adbab09c17251100355e2407c3ed8b411641ec49f6bac82498

Observation 508e9fdb-98bc-4cb6-9f8e-36293c8e2517 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 14

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source=pdf_text observed=2026-07-31T04:03:29.706851Z digest=sha256:2fd671976205e955eb6190c01aef40980a3bd29ad9499577ebc355ac9a92ea42

Observation 58303d66-41d4-4521-8dc5-4cf9fed698a2 · outbound

This paper cites Alghadeer, A.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Alghadeer, A

Reference 15

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source=pdf_text observed=2026-07-31T04:03:29.709749Z digest=sha256:2467d6c56abfad6a4ded7c420925c85bbee743f161a9f375d9651091640c6068

Observation 1b507972-b0fb-4305-9f75-88309b8c4d29 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 16

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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.

source=pdf_text observed=2026-07-31T04:03:29.712987Z digest=sha256:6a1778d94ad79c819048b95de6634540301ae83e5f5e6658f698abcbf09402ee

Observation cb073566-f884-47e0-ac5e-8d3b5451c404 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 17

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.715964Z digest=sha256:6ba07436e534a5b3d5328fa66b8005e6c958a66b299660c5cb4ca722838ec459

Observation d1615aa9-ed79-44a3-addc-97d937202c4d · outbound

This paper cites Chandrasekaran, D.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Chandrasekaran, D

Reference 18

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doi, observed 2026-07-31T04:06:02.413744Z

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 ea6d08c0-861c-42c7-bc2b-a57f74a81c27 · outbound

This paper cites Fiedler, N.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Fiedler, N

Reference 19

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doi, observed 2026-07-31T04:06:02.266170Z

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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=2026-07-31T04:03:29.721870Z digest=sha256:feb7990c24f8a9484f0b701a4c75c25b8c644a3c583c440e16d073af4969ceb0

Observation 0d8dfad6-180f-4dc0-840f-5b62d6805e4a · outbound

This paper cites Fiedler, N.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Fiedler, N

Reference 20

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doi, observed 2026-07-31T04:06:02.140662Z

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=2026-07-31T04:03:29.725216Z digest=sha256:06cda9be53ff20d198c495f048c39bd431a0b5fcaad6f8cb9e6c4bf60e35c8c7

Observation bfdb6671-8b60-4bcc-bfd3-ca451c40b765 · outbound

This paper cites Kocer, T.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Kocer, T

Reference 21

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source=pdf_text observed=2026-07-31T04:03:29.728285Z digest=sha256:b50972c8c029d1fde59fb3a7a893f55f19d55189226520aa2d6f081e51ab4bd7

Observation 92257080-db7a-4862-a07b-2335c0c2facc · outbound

This paper cites Batzner, A.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Batzner, A

Reference 22

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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=2026-07-31T04:03:29.731417Z digest=sha256:2d120121c8535bf92c207f809346b8c8bf0dd15916a387211758ca933f1af442

Observation 8bcf45b7-d34b-46c0-b484-4d33ae620a64 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 23

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source=pdf_text observed=2026-07-31T04:03:29.734354Z digest=sha256:8a3d3106276f1d785689346a36c22bbe3d3a9b88f3c521b32981ddd36bfbe888

Observation 15f84bae-b838-464d-810e-523f82b7dda3 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 24

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source=pdf_text observed=2026-07-31T04:03:29.737505Z digest=sha256:6d2f8a85586d01729fb98854e423b545689a3a0b9ce07073bde7b0de6811dd81

Observation 1733fa9f-e28e-41be-991d-9f2674188c97 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 25

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Source-reported events for the cited work

correction dated 2023-06-01. Source: crossref record 10.1038/s43588-023-00472-9->10.1038/s43588-023-00424-3:correction, observed 2026-07-11T03:06:21.512887+00:00. This notice travels one citation hop only.

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Observation 197a77cb-18a0-4ee4-a2a3-44ffe5a049b0 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 26

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source=pdf_text observed=2026-07-31T04:03:29.743379Z digest=sha256:6aabdde67697154922418df60cb06755d29d0ef67911b920ce938aaac06efb7e

Observation e9c3ea2b-0a94-4ad2-9fc6-ba56a51a20ad · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 27

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source=pdf_text observed=2026-07-31T04:03:29.746715Z digest=sha256:0e9eac7839b8c4c9d27651afad782d435f456311e20f8f0edaab800a8aad0d0a

Observation 819077e4-861b-45a0-a1d1-6b644847129a · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 28

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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=2026-07-31T04:03:29.750075Z digest=sha256:c9b5731b99be29511909fe78eeabad4e9565ea77fbdb8c43658da60172baa994

Observation f1d16d3e-117d-4684-852c-8f161e275a2c · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 29

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doi, observed 2026-07-31T04:06:01.324268Z

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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=2026-07-31T04:03:29.753018Z digest=sha256:06629a3aada9ac83b1107dbd37a022922ed394df7b0370f6cb79f8b652e00b60

Observation 8630ebcf-8531-4824-a22a-2776ec9e21f8 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 30

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doi, observed 2026-07-31T04:06:01.099101Z

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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 c275beb4-a069-493e-a9b4-be575c8d798b · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 31

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.759088Z digest=sha256:24d5b014f61b6eec320a1aa959547f479a57074ee0c09572347d0dfc9cd2c927

Observation f4e88c2d-e05d-4699-834e-dcde80bc10d4 · outbound

This paper cites e3nn: Euclidean Neural Networks.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance e3nn: Euclidean Neural Networks

Reference 32

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source=pdf_text observed=2026-07-31T04:03:29.762099Z digest=sha256:a1d88592051ca3bb2fe1ddc24195a5b3aebfbb437a21fe17aa274d7e176839fe

Observation b31e5b1c-1f1f-4c9f-a8bd-c5abb8c83399 · outbound

This paper cites Ozaki, Variationally optimized atomic orbitals for large-scale elec- tronic structures, Physical Review B 67 (15) (2003) 155108.doi: 10.1103/PhysRevB.67.155108.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Ozaki, Variationally optimized atomic orbitals for large-scale elec- tronic structures, Physical Review B 67 (15) (2003) 155108.doi: 10.1103/PhysRevB.67.155108

Reference 33

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source=pdf_text observed=2026-07-31T04:03:29.765214Z digest=sha256:c08368e30c1e06bd61226b6e8fdfa4a9c3d0341143529a3fca819eeb38ea0759

Observation cdd67cd2-2963-4d0a-bebf-d9d60d434067 · outbound

This paper cites Ozaki, H.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Ozaki, H

Reference 34

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.768128Z digest=sha256:1c2fc5f35b9538e4119de08fc8e6a80651a6212941a6dfdab1c0c68a95708121

Observation 88d1e16d-63f6-4ccd-a5c7-ff339348b8bc · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 35

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.771107Z digest=sha256:16aab08fc0c8ba968314e7d06368f2f8ff01b436c7f6cdcaf354ebc9d0a528c7

Observation 7016159e-0a2f-40c0-9e87-662e6fc6add5 · outbound

This paper cites an unresolved cited work.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Unresolved cited work

Reference 36

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.774453Z digest=sha256:97f7f428084cc4ca37f8e1dcdf5a32d605b7c42bee875c8ad42713bc4f21fb35

Observation b1f67083-3944-45d9-b61b-3e237b721fff · outbound

This paper cites Biewald, Experiment tracking with weights and biases, software avail- able from wandb.com (2020).

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Biewald, Experiment tracking with weights and biases, software avail- able from wandb.com (2020)

Reference 37

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unresolved
no resolver link, observed 2026-07-31T04:03:29.777377Z

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source=pdf_text observed=2026-07-31T04:03:29.777377Z digest=sha256:2ffbbdcda6960e8dc9a1abed5aea9829311e082439a3af5a8f1444a29d6fb120

Observation 5415ce63-271c-4fbd-adbd-91d142ca1b3e · outbound

This paper cites Fiedler, N.

MANDALA: An E(3)-Equivariant Graph Neural Network Framework for Learning Electronic-Structure Operators with Observable Guidance Fiedler, N

Reference 38

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doi, observed 2026-07-31T04:06:00.891384Z

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source=pdf_text observed=2026-07-31T04:03:29.780069Z digest=sha256:bcd998c2d80a2734914e2e3aba2d735fe7294476d28e751a13f6277e41fb18df

Pith citing papers

No inbound Pith citation observations are available.