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Paper Citation Record · LEDGER

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

As of 10 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 2026-08-10T06:31:04.303077+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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-10T14:40:51.450505Z digest=sha256:f323cc39a9c10f9999db65bdf09e81ab05188736f5c55622fcfb8640a108ca37

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-08T13:04:54.513192Z digest=sha256:97227c420fc35c69c8fd8872eaf6b71f4dbefc416b2b5e45cad5e7bbb0dcfb23

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-12T03:55:28.036044Z digest=sha256:f114b85cd7899c660ae006069a38fb757e6cb6c9f652167243f787d5f0bfa367

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-05-21T00:29:53.240959Z digest=sha256:b0a52a556cd559c2e63fb1d65029d805e5044636cc475adadceb5bcd1d5cbead

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 2026-08-10T06:31:04.303077+00:00.

source=arxiv_source observed=2026-06-28T02:26:16.631418Z digest=sha256:376c7cdaa53bcd621e58c83230cf5ff978d87eb53b9b66e3e3ae9e9dd2c1c566

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-29T22:53:30.561450Z digest=sha256:438dd5f212cf45469c2adab71ce30afadbd505d5ffb74dc629c15b1b7c45e9e5

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-30T07:06:49.458668Z digest=sha256:decb259cdfa551e77fe3d408a426d6b118a3e2da288a81ca71c56234bdcee6fe

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=sha256:7b3612951e94a495d2c62ef6e6c1f1a82aeffbcfd394bb08401c7cb2589979aa