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Paper Citation Record · LEDGER

SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2206.05794.

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

pith.paper-citation-record.v1
2206.05794 v7

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T16:21:41.231938Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T16:07:09.448556Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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 7219d340-2303-4817-a016-d38329641ca0 · inbound

On Generalization Bounds for Neural Networks with Low Rank Layers cites this paper.

On Generalization Bounds for Neural Networks with Low Rank Layers SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T16:21:41.231938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T16:21:41.231938Z digest=sha256:5a58d544b206f9f13a88628f0ed7365476534ab9a5b3691eb93407f4731bdf78

Observation 706d7da5-4244-4ea5-aa3d-85df53b06cf3 · inbound

The Features at Convergence Theorem: a first-principles alternative to the Neural Feature Ansatz for how networks learn representations cites this paper.

The Features at Convergence Theorem: a first-principles alternative to the Neural Feature Ansatz for how networks learn representations SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T19:31:20.239832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:31:20.239832Z digest=sha256:60706ba05d3c582d469ddb43bb6e87a3b126d286312a1a9206a712bfc9d0e760

Observation 1fdfa8de-876d-4140-be48-13626623bd21 · inbound

Evolutionary Search for Automated Design of Uncertainty Quantification Methods cites this paper.

Evolutionary Search for Automated Design of Uncertainty Quantification Methods SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-13T19:18:09.217340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-13T19:17:56.912708Z digest=sha256:f29562f72ac818e72170b53b13dfa1492e30f016428b6c1a4a69a1bcdd2cb900

Observation a0e1c6e9-3caf-40c9-ad18-a3986cf9d05a · inbound

Does Weight Decay Enhance Training Stability? cites this paper.

Does Weight Decay Enhance Training Stability? SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-20T19:53:42.998253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-20T19:49:01.351717Z digest=sha256:081e1d9643e8bd4ea7f02e127117611dcfacb711fae67f2a615c9c4b15019422

Observation 99b448d0-bb6a-4de8-9beb-de8a7e182b88 · inbound

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics cites this paper.

Weight Decay Regimes in Grokking Transformers: Cheap Online Diagnostics SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-21T07:34:02.899180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-21T07:30:07.287938Z digest=sha256:7a8b2434f0c06eb9a1ad552d9f41b4dae478ed2b31115ae561bed8a63586e8db

Observation ec9025ee-74ed-47e5-9d30-0ac4460eb6e1 · inbound

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes cites this paper.

The Implicit Bias of Depth: From Neural Collapse to Softmax Codes SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

Reference 137

Resolution
verified exact
arxiv_id, observed 2026-05-25T05:26:38.933941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-05-25T05:26:15.556205Z digest=sha256:7771cea60846e3677069a992cee2911f7529bcd6004efd899ece6409adac3cf8

Observation 8a2839c8-1691-49ff-8d3e-24e1994385e0 · inbound

Deciphering Two Training Clocks in Grokking via Deep Linear Network Theory with Conditional ReLU Reduction cites this paper.

Deciphering Two Training Clocks in Grokking via Deep Linear Network Theory with Conditional ReLU Reduction SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

Reference 25

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T12:06:56.089444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-06-28T02:26:16.631418Z digest=sha256:5af5224a6a0d0c58536fce58b307fd336a1d8b434f10918b4a5f76661a3343ae

Observation f3c56663-8160-484e-8fb3-f7c1313bdbc8 · inbound

Reversible Foundations: Training a 120B Sparse MoE through State-Preserving Scaling cites this paper.

Reversible Foundations: Training a 120B Sparse MoE through State-Preserving Scaling SGD and Weight Decay Secretly Minimize the Rank of Your Neural Network

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-07-02T16:07:09.450255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-06-27T22:55:09.477413Z digest=sha256:21369453c665b4d8717dc9dcf1fe533ac633b0c42d0aadfb0cb43cea4fa23ee6