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Paper Citation Record · LEDGER

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks

As of 9 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2605.27662.

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

pith.paper-citation-record.v1
2605.27662 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T04:31:56.603881Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T04:31:56.753684Z

Reference resolution

10 of 10 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved2
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch5

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 90e738ae-675c-43ec-8664-83af257ab9d5 · outbound

This paper cites Does equivariance matter at scale?.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks Does equivariance matter at scale?

Reference 1

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T18:03:48.004078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T17:59:03.152111Z digest=sha256:0fce9e259afe6a3243906d9084c88c7210a12683b3170a2d8d34dc2138a3066e

Observation 67ae714d-7bd5-4ece-92b9-c89e161008f3 · outbound

This paper cites Elhag, A.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks Elhag, A

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-29T17:59:03.152111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T17:59:03.152111Z digest=sha256:93dae4847a8e45df2627f1fff8e42b34d473974415a2c692c16cd12c5d79d448

Observation 7dce4038-4efd-4cde-abbf-a650bab38d5a · outbound

This paper cites Adam: A Method for Stochastic Optimization.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks Adam: A Method for Stochastic Optimization

Reference 3

Resolution
metadata mismatch
local_arxiv, observed 2026-06-29T18:03:47.597382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-11T11:50:26.030339Z digest=sha256:a641dd5059a23fcc6b29fcd1c0061097dd15fd73d1886d8060c1c08d1dfa3011

Observation 0751ef79-8d03-46b6-8692-4a2254da0e66 · outbound

This paper cites Optimizers Qualitatively Alter Solutions And We Should Leverage This.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks Optimizers Qualitatively Alter Solutions And We Should Leverage This

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T18:03:48.001449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T17:59:03.152111Z digest=sha256:7068361c85678d0be88faad42ae18c0858aeae1859972738578e492517a8181f

Observation 97282371-aacd-41d2-8d1c-0d886d9da56a · outbound

This paper cites URLhttps://doi.org/10.1162/neco.1994.6.1.147.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks URLhttps://doi.org/10.1162/neco.1994.6.1.147

Reference 5

Resolution
verified exact
doi, observed 2026-06-29T18:03:47.594632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T17:59:03.152111Z digest=sha256:7e3d9b2c0f003772ac35fb99007faeae1fd6c6a99d6cc268930947b75db65da7

Observation e4128130-beca-4421-9f3f-4237202705dd · outbound

This paper cites PointNet: Deep Learning on Point Sets for 3D Classification and Segmentation.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks PointNet: Deep Learning on Point Sets for 3D Classification and Segmentation

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-06-29T18:03:47.995713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T17:59:03.152111Z digest=sha256:de4472787c65b21542e5f104e7dae45f7d391e05125963d491d938deb2376180

Observation 0d17e655-3b1d-4bde-befe-534f04331c65 · outbound

This paper cites Quantum chemistry structures and properties of 134 thousand molecules.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks Quantum chemistry structures and properties of 134 thousand molecules

Reference 7

Resolution
metadata mismatch
doi, observed 2026-06-29T18:03:47.599198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T17:59:03.152111Z digest=sha256:56634b680d5a8050de5cc7a49019615711b3ecc4e31423653e2db0fef14c8075

Observation a5a623ef-82ec-4f22-ba6f-a4fd170da1a8 · outbound

This paper cites Dynamic graph cnn for learning on point clouds.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks Dynamic graph cnn for learning on point clouds

Reference 8

Resolution
metadata mismatch
doi, observed 2026-06-29T18:03:47.601006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T17:59:03.152111Z digest=sha256:a3aeee66e0d75948405f689e0434f78a49b02192cd7d9b0c06798fb653e51086

Observation 8ca68aa1-a0a5-4c30-8ec2-21725ba1feb9 · outbound

This paper cites org/CorpusID:206592833.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks org/CorpusID:206592833

Reference 9

Resolution
unresolved
no resolver link, observed 2026-06-29T17:59:03.152111Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T17:59:03.152111Z digest=sha256:746a648a7e3bcee02e9ee5812114fce6a0e896ccacb1cfb817748fb6fd74f867

Observation 9843ce7c-08d0-4f95-87d2-3aaefee50846 · outbound

This paper cites 6 How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks A.

How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks 6 How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks A

Reference 10

Resolution
malformed identifier
arxiv_id, observed 2026-06-29T18:03:47.998524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-29T17:59:03.152111Z digest=sha256:cbbc414d99d886e82608a90cd6a6726677674332fe0f1a8089258795511c72ec

Pith citing papers

Observation fb20c61e-15f1-4c34-92cb-2ce4e1bef9b2 · inbound

The Loss Does Not See the Basis, but Adam Does cites this paper.

The Loss Does Not See the Basis, but Adam Does How the Optimizer Shapes Learned Solutions in Equivariant Neural Networks

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-06T04:31:56.756734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T04:31:56.603881Z digest=sha256:01cefa2d25bb8ff88118cfbb9b6a3f21dd1cdefa8cea2315f11ac331781e6e7f