Paper Citation Record · LEDGER

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws

As of 7 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.06634.

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

pith.paper-citation-record.v1
2607.06634 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T00:52:58.167272Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+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

16 of 16 outbound references displayed

verified exact4
verified fuzzy9
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e465222a-b3c4-474d-9316-17be6b062467 · outbound

This paper cites Mailoa, Mordechai Kornbluth, Nicola Molinari, Tess E.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Mailoa, Mordechai Kornbluth, Nicola Molinari, Tess E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:57:43.992092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d0a75ff9-d77c-446c-b0c6-815b736ae71e · outbound

This paper cites Mailoa, Mordechai Kornbluth, Nicola Molinari, Tess E.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Mailoa, Mordechai Kornbluth, Nicola Molinari, Tess E

Reference 2

Resolution: verified exact; doi, observed 2026-07-11T00:57:41.002301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ffc5ce6b-f02f-4752-ae94-72696a113f96 · outbound

This paper cites an unresolved cited work.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:57:43.978127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 279c0c2b-841b-4728-a4b6-95ef6dd847d2 · outbound

This paper cites Geometric algebra trans- former.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Geometric algebra trans- former

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:57:44.000738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8c84c34a-030c-4572-9b43-97ffd24014eb · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-07-11T00:57:42.096295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 184ba549-14f2-48db-9f58-ae317707a405 · outbound

This paper cites Cohen and Max Welling.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Cohen and Max Welling

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:57:43.953306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6c3923b9-87f1-45fd-9978-0020c1a9bab1 · outbound

This paper cites an unresolved cited work.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-11T00:57:44.144602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8ad9f915-538f-45b5-ac81-ae93cfef0dc8 · outbound

This paper cites Representing spherical tensors with scalar-based machine-learning models.arXiv preprint arXiv:2505.05404, 2025.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Representing spherical tensors with scalar-based machine-learning models.arXiv preprint arXiv:2505.05404, 2025

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-11T00:57:42.054491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0a9967dc-55a0-44b8-ad05-ba07c79569cc · outbound

This paper cites On the universality of rotation equivariant point cloud networks.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws On the universality of rotation equivariant point cloud networks

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:57:44.146175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b389de2b-90dd-45cd-8bc2-d9d6db6d531a · outbound

This paper cites GLGENN: A novel parameter-light equivariant neural networks architecture based on clifford geometric algebras.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws GLGENN: A novel parameter-light equivariant neural networks architecture based on clifford geometric algebras

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:57:44.099095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 32e0053b-b7cc-4434-bd50-7f736b3b3079 · outbound

This paper cites e3nn: Euclidean Neural Networks.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws e3nn: Euclidean Neural Networks

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-11T00:57:42.118473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4343b965-5256-4a37-bb93-ee80801cf4c6 · outbound

This paper cites Clifford group equivariant neural networks.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Clifford group equivariant neural networks

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:57:44.053449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8b408b0e-d240-43b3-866e-e5eb573a44e4 · outbound

This paper cites E(n) equivariant graph neural networks.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws E(n) equivariant graph neural networks

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:57:44.075226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 72a0ab76-2b6c-455f-8a5b-c363e1e56337 · outbound

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

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-07-11T00:57:42.073983Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c3d535b3-f910-4ee8-a96a-e517bf41b704 · outbound

This paper cites Hogg, Kate Storey-Fisher, Weichi Yao, and Ben Blum-Smith.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws Hogg, Kate Storey-Fisher, Weichi Yao, and Ben Blum-Smith

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:57:44.123641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation cbced12e-d2ca-43fd-b143-7582a1aae78a · outbound

This paper cites General E(2)-equivariant steerable CNNs.

When Do Geometric Algebra Layers Beat Scalarization? A Controlled Study on SO(3)-Equivariant Vector Laws General E(2)-equivariant steerable CNNs

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-11T00:57:44.123300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

No inbound Pith citation observations are available.