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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 10 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 2026-08-10T06:31:04.303077+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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.665762Z digest=sha256:bd8128d395eb1078da798cac800223943c74a3823641a5644c60094249766625

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:ad6dd961de7e2612117a338858fda1cbda9d7b149c1406e58cb08aac304d9b7d

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-31T04:03:29.673133Z digest=sha256:5be7d7591d9383b89b8926ddd7e7fd61e3304573c671d67b152f9981dc06377c

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:a7ca46c2a9ca15d5ecde6b8c01b4e93237e71483ba79978e1badd2da3d173fb4

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:df08d873336618f3bdf3248a4b76ecf62eebbce42f3305bd8820cf1cddac2a65

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=pdf_text observed=2026-07-31T04:03:29.682633Z digest=sha256:ac7429cca2e1eb69e96ee6ccb5c298c05e3a22fbda623cd28455201598a78108

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=sha256:1b27c3a2d1f80a2c4cddc73e0b06fee60114630f9f1c99bcb15ccbd34ece7d44

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:eeef0d2e29348b4a8589dbbd7822b6adcc701e57b1c2862d78702c339eb17da5

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:d5ff4365c2bde5cb66b331f5a460e4045f93d0b1719e86a9b59f5912995d1fcd

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:e0a002fd54db928dcd7305630f5b8578e2bb73b420d788c0b5ab7d316a94a03e

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:e1c04335c1167511f583fc457feacda54aaca85bcb20e7042cfc99163f6fd37a

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=sha256:43fa51961fcd00166c915b36aaca7d08fe13ae315f567076f55db417465f42e6

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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source=pdf_text observed=2026-07-31T04:03:29.703784Z digest=sha256:53685a4a96b0689270d9c199f4c662f4b3abf766687c37a25e2765d192288661

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=sha256:1e3180bc9f9da3297fc15c01706835facdb36d88944fc779e3ad416455802e0a

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:b81cbc385def29cec68b34d8f99482dc48d1675a2c7b8cb85b4255c233091489

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-31T04:03:29.712987Z digest=sha256:fbc62f94a4a54f91bb3eb458ad42358b24693aff817fd311c92fb43b8dba4c48

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.715964Z digest=sha256:8da4f3f3404d75d2fdfacd7dd82030d4edeff903031e733c6e911971f57d3893

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-31T04:03:29.718909Z digest=sha256:e210ca856cac95292a9cd0ec068c5f53f203ac5f8d1bce4cd7d1602cd98bea9d

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

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-31T04:03:29.721870Z digest=sha256:41114f767b02070611f7b526238b5662822d8217f5db82b71742793415c8c230

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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verified exact
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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-31T04:03:29.725216Z digest=sha256:cd701c540081385bb8e54988c64eea687c96e30503c0e95da889dc3827055f52

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:dfddadb6c815aa14fa7496ad1fd7aaa593e14713566c7d50c4e7e0b216c22204

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-31T04:03:29.731417Z digest=sha256:53f43d285794d9556f2b7f11c42f3e9b0042a64e05fa7e96ea867c0d1a91cc29

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.734354Z digest=sha256:16e93a606db5072c3d4a8bd264638e9819602b2ca104eb18088972587937f0e9

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=sha256:70aeed5dd661f16d63a961c3363f7131a5b494193e7514aaf79fb6ad17cf1a06

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=sha256:0eb11b5ae2bc47fbc01020840cc6be3b0430cdaab8f06e9fc30a9a29ee923937

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.746715Z digest=sha256:fba4897e5293fb99d59f1e63e9ee34a32ce8595315fb29e626e7a63d4b5dc91b

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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doi, observed 2026-07-31T04:06:01.439185Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-31T04:03:29.750075Z digest=sha256:ecc3c59ae4aaa2304e719260ada14c69a7e416999c6a06dbf9b4a7ff3eefca3a

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 2026-08-10T06:31:04.303077+00:00.

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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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-07-31T04:03:29.756020Z digest=sha256:165c34e1fec9b015d2c2b96f16c461b734387d962f8a622d97e3f0ce2d70a8fd

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:a224f84c912ff550e6962db12289c9aa5c1b0f4d33cb885b351a96d79d8714c1

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:fe0bcaf96975a43e6f9b1a326bac7b12deacf6f2a7cc41e73000f96e92890bb6

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=sha256:8a3303fd0bc7ac2273b97e63360c2b5eda91b76dba45f0b7d19717f719d18b5d

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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no resolver link, observed 2026-07-31T04:03:29.768128Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T04:03:29.768128Z digest=sha256:1cfac107ddb4e4f20b260d4273f42d6c8e10b515b7964e37648fa11b2f14f930

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:e485169061266216229fc90cafdd9369cdf2a6a6583da4f372f8f1afcfffef70

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=sha256:8cae697323d8eecb6bc01c442bbbee08b43c1c100257b475b8e8dcbdb8fccbc4

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
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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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