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Paper Citation Record · LEDGER

Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2408.08944.

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

pith.paper-citation-record.v1
2408.08944 v1

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 2026-08-21T06:32:19.484+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T11:48:27.847402Z

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 b0ae7d0c-1c79-4f4d-84b3-6c2b45b112f9 · inbound

A Bayesian Perspective on the Role of Epistemic Uncertainty for Delayed Generalization in In-Context Learning cites this paper.

A Bayesian Perspective on the Role of Epistemic Uncertainty for Delayed Generalization in In-Context Learning Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

Reference 1

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T14:45:39.159289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-10T14:40:51.450505Z digest=sha256:2688c32476dff87db56841615ef880b75bf3c506212bcd82bc0588773685a5a8

Observation 9c250d2a-0a8a-428b-a287-901f6962a011 · inbound

Topological Signatures of Grokking cites this paper.

Topological Signatures of Grokking Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:01:13.324232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-08T13:04:54.513192Z digest=sha256:e476f6009dea4fc42993ad9bbece847676db0efd128fbce5f3dc79aab1f943fb

Observation 43b93d40-3bb9-4c60-8a74-312d5344dff6 · inbound

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

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

Reference 32

Resolution
metadata mismatch
arxiv_id, observed 2026-05-12T03:56:19.463724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-05-12T03:55:28.036044Z digest=sha256:5f75dc626760e729d4903c5e7773ac8d184bcae3b8e675b5ed5fb6d94848cc46

Observation 83e1c4f1-60d9-4322-b42e-0a59daa41d26 · inbound

Phase Transitions in Driven Informational Systems: A Two-Field Perspective on Learning Theory and Non-Equilibrium Chemistry cites this paper.

Phase Transitions in Driven Informational Systems: A Two-Field Perspective on Learning Theory and Non-Equilibrium Chemistry Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-21T00:33:52.244704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-05-21T00:29:53.240959Z digest=sha256:a1dda94350dcbefa42f49f47f472b5af291091aa779d6f03ccc36215c6735ea6

Observation 01a2a0b4-4e10-48b1-80d6-4492fa52e062 · 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 Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

Reference 37

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T12:06:56.083922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-06-28T02:26:16.631418Z digest=sha256:1d80ca2d5fcc069a554649a3b6b6feb6c7602d1018187e91234fc00e291729c9

Observation 95ae9ca3-8604-4a31-ae11-2efaefb2e765 · inbound

Emergence via Phase Transitions: Mechanism Landscapes and Universal Convergence Across Complex Systems cites this paper.

Emergence via Phase Transitions: Mechanism Landscapes and Universal Convergence Across Complex Systems Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-06-29T22:54:00.702891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-29T22:53:30.561450Z digest=sha256:acc80598a577c9fe322d86e8a71f2c20b626199d5ec5b697a84bb85e86c2bd43

Observation e335b043-43b8-4b09-8ec7-d795083b6429 · inbound

Scalar Representations of Neural Network Training Dynamics cites this paper.

Scalar Representations of Neural Network Training Dynamics Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

Reference 46

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T07:14:21.559008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-06-30T07:06:49.458668Z digest=sha256:232ddc210442dd6ea2f6bf1d1aac2281cfca359c82225bc462f3b22737d21851

Observation e077389e-b91f-4261-99fd-05f5d9497c94 · inbound

Emergent Generalization by Representation Learning in Artificial Neural Networks cites this paper.

Emergent Generalization by Representation Learning in Artificial Neural Networks Information-Theoretic Progress Measures reveal Grokking is an Emergent Phase Transition

Reference 32

Resolution
unresolved
no resolver link, observed 2026-07-14T11:48:27.847402Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T11:48:27.847402Z digest=sha256:db5ab2f3a2fadd5e75d14c187b9b4b29418f20decd41673d7daa8f4c337a360b