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Paper Citation Record · LEDGER

Symmetry Breaking and Equivariant Neural Networks

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2312.09016.

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

pith.paper-citation-record.v1
2312.09016 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T16:35:02.488753Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T16:07:08.302012Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 18524b55-3b6f-4660-a420-3151147def85 · inbound

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach cites this paper.

When GNNs meet symmetry in ILPs: an orbit-based feature augmentation approach Symmetry Breaking and Equivariant Neural Networks

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-10T15:23:02.742430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T15:23:02.742430Z digest=sha256:61ca58378d6525fbeb8105524327fc7878a46a173bc706d9e737d62ed34a07dc

Observation 05dba631-036c-4d2b-9259-c70485b1716d · inbound

SymmCD: Symmetry-Preserving Crystal Generation with Diffusion Models cites this paper.

SymmCD: Symmetry-Preserving Crystal Generation with Diffusion Models Symmetry Breaking and Equivariant Neural Networks

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-09T04:20:16.631906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T04:20:16.631906Z digest=sha256:b0be1564864e378dfd73fb33e426e0cc8a5ea7271b96564a13387ae2aa5d7de0

Observation bf04fd26-924a-4276-a42d-24345a6bf6b0 · inbound

Equivariant Flow Matching for Symmetry-Breaking Bifurcation Problems cites this paper.

Equivariant Flow Matching for Symmetry-Breaking Bifurcation Problems Symmetry Breaking and Equivariant Neural Networks

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-15T16:35:02.488753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T16:35:02.488753Z digest=sha256:bed8c1ba6cef6261bfe8f74584c8cfd3e022feabad2508d3f931a1fe3c49cae3

Observation 175ce3f1-f0ef-415d-bb08-af46f9fd25a3 · inbound

Adaptive Canonicalization with Application to Invariant Anisotropic Geometric Networks cites this paper.

Adaptive Canonicalization with Application to Invariant Anisotropic Geometric Networks Symmetry Breaking and Equivariant Neural Networks

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-18T12:46:23.178877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-18T12:45:28.458804Z digest=sha256:114778510d9458383a020ee69d890c6c4d1b8eabad6c516411f838b7e5fbd26f

Observation f668c8a3-ee88-4991-9f8b-bc3ca7e683f7 · inbound

Spontaneous symmetry breaking and Goldstone modes for deep information propagation cites this paper.

Spontaneous symmetry breaking and Goldstone modes for deep information propagation Symmetry Breaking and Equivariant Neural Networks

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-07-01T14:25:46.901842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-30T21:19:34.927278Z digest=sha256:384bf57809767e1cfda8c6c764f7293b2f4c938c66df02fa5397a8601fc25594

Observation f0612935-dc1e-446d-a352-a982a277d03c · inbound

Group-Equivariant Poincar\'e Convolutional Networks cites this paper.

Group-Equivariant Poincar\'e Convolutional Networks Symmetry Breaking and Equivariant Neural Networks

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-07-02T16:07:08.303654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-07-02T16:01:53.876557Z digest=sha256:007acd42f7f5d604d88766793dba7ebbb47bbece2810fff8f9ee75ace0d73690

Observation 26bb6b3a-211d-459e-b9eb-2bcf3de610df · inbound

Automorphism-Induced Non-Canonicity in Top-k Explanations of Graph Neural Networks cites this paper.

Automorphism-Induced Non-Canonicity in Top-k Explanations of Graph Neural Networks Symmetry Breaking and Equivariant Neural Networks

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-01T00:15:50.837905Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T00:15:50.837905Z digest=sha256:698e08d7099a464d21d7540729f09e03206e7180176ac299352b4d000135ed9b