Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:32:51.741884Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 0 inbound Pith citation observations for arXiv:2608.12010.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T00:32:51.741884Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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
63 of 63 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ef115073-4a95-42c0-a1ad-80ecfbcf3152 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Scaling Learning Algorithms Towards
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ea0525c2-7ddc-406f-bea5-c353241ce93c · outbound
Reducing Symmetry Increase in Equivariant Neural Networks and Osindero, Simon and Teh, Yee Whye , journal =
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a38cd10d-c7da-4549-94f3-60da3266b77a · outbound
Reducing Symmetry Increase in Equivariant Neural Networks 2016 , publisher=
Reference 3
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4b68a169-eba9-4a30-a12a-4b866977e7c5 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks International conference on machine learning , pages=
Reference 4
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.
Observation b04cd9b0-e8cd-4bc9-a304-e70cc3229536 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Topology from the differentiable viewpoint , isbn =
Reference 5
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.
Observation 07fba1d1-ecaf-471b-80cf-9d71e541737b · outbound
Reducing Symmetry Increase in Equivariant Neural Networks , year =
Reference 6
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.
Observation d0674f86-37b4-47fb-9472-e43ffa40392c · outbound
Reducing Symmetry Increase in Equivariant Neural Networks 2007 , publisher=
Reference 7
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.
Observation 16b2e6b1-04ee-4370-80e1-822a5275292d · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Symmetry defects and broken symmetry
Reference 8
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.
Observation 0ee41d44-d671-490d-9e46-d6a7c1fbca7f · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Pattern selection with
Reference 9
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.
Observation 695747af-22a3-424b-b0d9-0df62eaa0da6 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Unresolved cited work
Reference 10
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.
Observation 3260b8ef-91b2-4ac5-a0d1-b0f2e7400aa4 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks 1972 , publisher=
Reference 11
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.
Observation 11a2dd0f-b599-4245-9ac4-00c7432ac40a · outbound
Reducing Symmetry Increase in Equivariant Neural Networks arXiv preprint arXiv:2301.08599v2 , year=
Reference 13
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.
Observation 40fe9fce-3c25-4b44-b8b2-6d11fd7f60a4 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks The Annals of Mathematics , author =
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 606dfe53-91ee-4df3-a433-e384da4481f5 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks 2003 , url =
Reference 15
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.
Observation 9ce72445-7815-4ecf-8eb4-6ded78ccfe1f · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Group theory and its application to physical problems , publisher =
Reference 16
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.
Observation 529063fc-8d0f-4d5b-8706-e0bef8d4d99c · outbound
Reducing Symmetry Increase in Equivariant Neural Networks , year =
Reference 17
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.
Observation f327b06c-a161-4b3c-9764-105ab9497cce · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Canadian Journal of Mathematics , volume=
Reference 18
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.
Observation 87881a5d-551d-46a3-8bfa-8ef79f0e209f · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Introduction to Number Theory , rights =
Reference 19
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.
Observation 9dea223b-79b3-4a48-b857-d1ca578db4da · outbound
Reducing Symmetry Increase in Equivariant Neural Networks and Gusein-Zade, S.M
Reference 20
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.
Observation fa81526e-6534-435b-94b5-fb7b625dc9d7 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Transactions of the American Mathematical Society , volume=
Reference 21
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.
Observation 9d804d59-8642-4910-804a-c40e341168f5 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Local Properties of Analytic Varieties , isbn =
Reference 22
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.
Observation 1f12c3e5-06e9-4e84-a56a-51db053e6d92 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Unresolved cited work
Reference 23
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.
Observation bc1fc153-06e8-47f7-904f-81518dbacff3 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Stability of transversality to a stratification implies Whitney (a)-regularity , volume =
Reference 24
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.
Observation 6413d1d8-6baf-49c3-ad49-09f98f7cabe6 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Real and complex singularities, Oslo , author=
Reference 25
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.
Observation 5b64a75e-a3bf-45d2-9ab4-e0556c89d3af · outbound
Reducing Symmetry Increase in Equivariant Neural Networks , year =
Reference 26
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.
Observation d7b0ea35-d713-4b71-9432-a1b4c9e9dc83 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Stable mappings and their singularities , isbn=
Reference 27
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.
Observation ca9a49dc-ff5d-4399-b5f6-cde4e1f31914 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Handbook of geometry and topology of singularities I , pages=
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16c2d810-0417-4216-84be-eddcdd08a218 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Archiv der Mathematik , volume=
Reference 29
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.
Observation 111ffd6d-4eb1-45af-86db-caef9678115b · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Differential topology , isbn=
Reference 30
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.
Observation 9c4b3f3f-133b-47be-b7a8-6f769b1edf7d · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Acta numerica , volume=
Reference 31
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.
Observation a5068ecb-1525-4db4-81c5-06fe54ef8929 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks On the Universality of Rotation Equivariant Point Cloud Networks , booktitle =
Reference 32
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.
Observation a276f870-f666-4e26-8eda-509faca7ffb1 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks 2007 , publisher=
Reference 33
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5b08b6fd-376a-42a8-aafc-11f5ac9450c5 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Advances in Neural Information Processing Systems , author =
Reference 34
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.
Observation 43e749ed-2835-4524-abed-9db70253d2f5 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Symmetry Breaking and Equivariant Neural Networks , booktitle =
Reference 35
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.
Observation 52a83b7a-b700-4c77-aead-2971656ab0b5 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Physical Review Research , volume=
Reference 36
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.
Observation 056eb359-0293-4d47-881f-5807f42a2ae4 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e4beda23-7ac0-44d3-ad36-f2e10550b779 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks e3nn: Euclidean Neural Networks
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 18eb0d07-1b33-4d09-aba5-cc44740025fc · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Unresolved cited work
Reference 39
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.
Observation 79084e3b-183d-42f8-8a97-205b5fd57889 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Unresolved cited work
Reference 40
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.
Observation 2aba6bb3-f676-4935-9998-a164da9dafda · outbound
Reducing Symmetry Increase in Equivariant Neural Networks 1970 , location =
Reference 41
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.
Observation b6482053-503a-43ab-abfd-a0baa39c367e · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Scientific data , volume=
Reference 42
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8eaaa01d-68fe-4fd9-8826-a8e329097b23 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks 2025 , url =
Reference 43
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.
Observation 358dbb9d-1e04-4370-9257-a3cae2468c38 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Fast Graph Representation Learning with PyTorch Geometric
Reference 44
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e25061ff-81eb-499b-b445-30f97be97ab1 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Artificial Intelligence Chemistry , pages=
Reference 45
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.
Observation af0190cd-303f-4ac0-b179-cca1a0c846d4 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Verifying the Union of Manifolds Hypothesis for Image Data
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d0fe0d06-b6ac-4126-bc8e-0ab28bf77de6 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks 2021 , eprint=
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1cfb025d-d987-488a-8dc0-5c14a4ed5193 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Deep Learning in Drug Design , pages=
Reference 48
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.
Observation 68715f2a-7cf9-4953-ad6d-87d9dc069415 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Universally Invariant Learning in Equivariant
Reference 49
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.
Observation 86a83632-aeb0-4e9d-b33e-84e0a3d4b3b2 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Forty-first International Conference on Machine Learning , year=
Reference 50
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.
Observation ad43975f-eb4a-4c31-9182-a2becd6bb379 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Fast and Distributed Equivariant Graph Neural Networks by Virtual Node Learning
Reference 51
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.
Observation ae359b28-fecc-44ca-b739-8c2ce334e9d7 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks International Conference on Learning Representations , year=
Reference 52
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.
Observation c64e1ab9-98d3-4317-8338-c8409c4bfa8f · outbound
Reducing Symmetry Increase in Equivariant Neural Networks International Conference on Machine Learning , pages=
Reference 53
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85272284-90ef-48db-af86-194d9fdf0e91 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks 2025 , title =
Reference 54
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 59d015ee-29db-4123-98f8-17c602cbb848 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks International Conference on Machine Learning , year=
Reference 55
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.
Observation 3a5dd046-10dc-4140-a8be-6240118e249e · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Unresolved cited work
Reference 56
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.
Observation b157f350-b95f-4f26-aba3-077c2d3dc20f · outbound
Reducing Symmetry Increase in Equivariant Neural Networks The Fourteenth International Conference on Learning Representations , year=
Reference 57
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.
Observation 974c0a1c-8c2a-4f57-b74f-ec7bfaef77c0 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Size-Generalizable
Reference 58
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.
Observation ae0cb7af-c8af-49a5-beb5-9843f0ac0b38 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Advances in Neural Information Processing Systems , volume=
Reference 59
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.
Observation c804aac1-ed40-493b-86b0-2e4e37e4ac03 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks The Thirty-ninth Annual Conference on Neural Information Processing Systems , year=
Reference 60
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.
Observation 2aef8091-706c-4a7a-82f9-090f5b726cec · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Nature Communications , volume=
Reference 61
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.
Observation 0691f0a9-0d75-47df-9fbf-6d99b1e2aef5 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Siamese Foundation Models for Crystal Structure Prediction
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1126b4d-4e10-4e0e-81f7-902eea61fc94 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks arXiv preprint arXiv:2602.04734 , year=
Reference 63
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35c4489b-575f-4eb9-9c21-69f05b72e719 · outbound
Reducing Symmetry Increase in Equivariant Neural Networks Frontiers of Computer Science , volume=
Reference 64
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.
No inbound Pith citation observations are available.