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Paper Citation Record · LEDGER

Grokking as a First Order Phase Transition in Two Layer Networks

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2310.03789.

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

pith.paper-citation-record.v1
2310.03789 v3

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 2026-08-19T06:32:44.657259+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:45:54.813938Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

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

External citation measurements

1
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 2ad621b7-7223-469f-bd7f-6586de3793a4 · inbound

Grokking vs. Learning: Same Features, Different Encodings cites this paper.

Grokking vs. Learning: Same Features, Different Encodings Grokking as a First Order Phase Transition in Two Layer Networks

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-09T14:44:27.116581Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:44:27.116581Z digest=sha256:962c75dcea5ab10691a9cc14d2f75ddfa0cc6a0bc70d0123a7a9711ba7a30d7a

Observation 16876b05-0a77-44dd-a059-23aec6423e81 · inbound

Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks cites this paper.

Phase Transitions between Accuracy Regimes in L2 regularized Deep Neural Networks Grokking as a First Order Phase Transition in Two Layer Networks

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-15T22:45:54.813938Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:45:54.813938Z digest=sha256:8cd0156df97c4a70fc2a432b57b5daf7b23fcc1921543884e2e1d6b0d49fa9e8

Observation 0091626b-dead-4767-bf5a-465b4f2f9132 · inbound

Rethinking Over-Smoothing in Graph Neural Networks: A Perspective from Anderson Localization cites this paper.

Rethinking Over-Smoothing in Graph Neural Networks: A Perspective from Anderson Localization Grokking as a First Order Phase Transition in Two Layer Networks

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-06T23:35:47.534854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T23:35:47.534854Z digest=sha256:28811f73bf9fcd93f10f19494c441b35593ddc584247dc4a5c38991a751316e2

Observation fe2e3732-2c38-4852-82fe-3cadb3696129 · inbound

Consciousness as a Jamming Phase cites this paper.

Consciousness as a Jamming Phase Grokking as a First Order Phase Transition in Two Layer Networks

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T18:29:18.906995Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:29:18.906995Z digest=sha256:4f442194aa47b2cf774f67f7fb5c70768a2871edb35ab53980aedf63fd77533b

Observation 9dfa9ee7-7e88-4ca3-9c1e-22ad9c26e7f4 · inbound

Learning words in groups: fusion algebras, tensor ranks and grokking cites this paper.

Learning words in groups: fusion algebras, tensor ranks and grokking Grokking as a First Order Phase Transition in Two Layer Networks

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-04T22:57:12.241241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T22:57:12.241241Z digest=sha256:eb8a664d63dfeb869d8d82c754e525a26d53311ac7a7099ef80a407b987a1873

Observation b9585d9e-512d-4539-b79d-a7f19b857319 · inbound

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds cites this paper.

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds Grokking as a First Order Phase Transition in Two Layer Networks

Reference 30

Resolution
verified exact
arxiv_id, observed 2026-05-12T03:56:19.415900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-05-12T03:55:28.036044Z digest=sha256:b683cf7fe433fba7989654c7bdac623117218027bbbf0d86827884f78d5eec74

Observation db3d1dbd-5352-4475-9f20-3787f41a9839 · inbound

What Does the Weight Norm Control in Grokking? Logit-Scale Mediation under Cross-Entropy cites this paper.

What Does the Weight Norm Control in Grokking? Logit-Scale Mediation under Cross-Entropy Grokking as a First Order Phase Transition in Two Layer Networks

Reference 10

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T21:18:58.717424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-06-27T00:44:38.335028Z digest=sha256:8322e9ef31a9961241781591d22ab0671eaea95983788da1fe3b0c9e1f49f026

Observation 8a16fc2b-97d2-4334-b1c8-2e2d55202b1a · inbound

Algebraic Representability as the Limiting Regime of Grokking: An Exactly Solvable Model with Holomorphic Activations cites this paper.

Algebraic Representability as the Limiting Regime of Grokking: An Exactly Solvable Model with Holomorphic Activations Grokking as a First Order Phase Transition in Two Layer Networks

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T03:55:35.218736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T03:55:35.218736Z digest=sha256:79405f969378bdd4df27529237b498a6050653ea95139ddb62d63964c2e71c4b