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Paper Citation Record · LEDGER

Grokking Explained: A Statistical Phenomenon

As of 23 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2502.01774.

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

pith.paper-citation-record.v1
2502.01774 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T14:36:16.447589Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T13:04:54.513192Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T19:01:13.289693Z

Reference resolution

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0689a9b5-5372-4fba-ad97-f813470f8f81 · outbound

This paper cites write newline.

Grokking Explained: A Statistical Phenomenon write newline

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-09T14:36:16.382448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:36:16.382448Z digest=sha256:b1220df7f7deb101f8083dd78d4079b7bce23d14ef85f7b2dd26b23bc5d89839

Observation d6405a30-93b2-4e58-b597-a648885e4238 · outbound

This paper cites Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges.

Grokking Explained: A Statistical Phenomenon Geometric Deep Learning: Grids, Groups, Graphs, Geodesics, and Gauges

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-09T14:36:16.388533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:36:16.388533Z digest=sha256:b125420b2fbf22d9d9494e8c7bfcf73e0cedb483635f5458b98a478585bfb002

Observation 3225bf57-3ef6-4b83-8316-99600fba7599 · outbound

This paper cites S., Lamb, L.

Grokking Explained: A Statistical Phenomenon S., Lamb, L

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:36:16.666403Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-09T14:36:16.394575Z digest=sha256:770cc834458d11049c529e3685c689898f4e72b427aa5713b0d1019ff7cfbfe5

Observation 353af197-8ddc-4e99-ad25-08836e7b563d · outbound

This paper cites J., and Pehlevan, C.

Grokking Explained: A Statistical Phenomenon J., and Pehlevan, C

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:36:16.650641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-09T14:36:16.399251Z digest=sha256:3eda21408202ca0d20dd006736de515a8b7918dd23c173680cfe489de0d451ec

Observation 1eae8ed9-18f5-4fe2-9f16-2b5b7644c122 · outbound

This paper cites Grokking in Linear Estimators -- A Solvable Model that Groks without Understanding.

Grokking Explained: A Statistical Phenomenon Grokking in Linear Estimators -- A Solvable Model that Groks without Understanding

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-09T14:36:16.404195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:36:16.404195Z digest=sha256:5085ac6c335b89d21329c48d8c01ff3cc162f5af758dae7159fc7b81ff0ac6fe

Observation 0abab244-ed63-49f8-a9d1-18bdeff44dc9 · outbound

This paper cites an unresolved cited work.

Grokking Explained: A Statistical Phenomenon Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-09T14:36:16.409769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:36:16.409769Z digest=sha256:a5a192d9ede822800151b67c4fadb2a7ea89754e835f70b66e8887c376fb43e5

Observation 46335545-d98f-49b8-8957-4d0c78ab2d3c · outbound

This paper cites S., Michaud, E., Tegmark, M., and Williams, M.

Grokking Explained: A Statistical Phenomenon S., Michaud, E., Tegmark, M., and Williams, M

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-09T14:36:16.414406Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:36:16.414406Z digest=sha256:293ac2b8a9cb580d9f0bb25f69ef98912ac314178084388b789e44cbcc0ad0b7

Observation a89518f8-1262-4789-a51c-4a5c68685b53 · outbound

This paper cites Progress measures for grokking via mechanistic interpretability.

Grokking Explained: A Statistical Phenomenon Progress measures for grokking via mechanistic interpretability

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:36:16.614516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-09T14:36:16.419851Z digest=sha256:c23dd3630417e66b2825de4b7e6b1f7c450ef04e21c17e8ab19f88ea40cadeea

Observation ee56dddd-c9ca-4007-9496-e324ffbe3918 · outbound

This paper cites Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets.

Grokking Explained: A Statistical Phenomenon Grokking: Generalization Beyond Overfitting on Small Algorithmic Datasets

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-09T14:36:16.424360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:36:16.424360Z digest=sha256:13dcd135d70b9d200ff6a0a5b202352a32eb8e0c41e72ac998a5c103e364142a

Observation b9ac303e-0283-44e8-bbbc-1e370488d888 · outbound

This paper cites an unresolved cited work.

Grokking Explained: A Statistical Phenomenon Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-09T14:36:16.598944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-09T14:36:16.429211Z digest=sha256:4f45830cba6199b7d988c826c1d49a0ee1754c42b0d605e285a3feb5e73fbfca

Observation 414495eb-1c04-4624-ba6b-0ffa7915737c · outbound

This paper cites Failing loudly: An empirical study of methods for detecting dataset shift.

Grokking Explained: A Statistical Phenomenon Failing loudly: An empirical study of methods for detecting dataset shift

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:36:16.583873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-09T14:36:16.434052Z digest=sha256:1fe451ccd1e9d1bf335dd6ab8d42fa4ac2fba335d2a6fa4e00d019e9f276c8ac

Observation 0caadf38-f633-455b-8590-9daf5c45bcf8 · outbound

This paper cites Are emergent abilities of large language models a mirage? In Oh, A., Naumann, T., Globerson, A., Saenko, K., Hardt, M., and Levine, S.

Grokking Explained: A Statistical Phenomenon Are emergent abilities of large language models a mirage? In Oh, A., Naumann, T., Globerson, A., Saenko, K., Hardt, M., and Levine, S

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:36:16.568859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-09T14:36:16.438350Z digest=sha256:b2a293148779423f2c75ee4cf3a3607e2c70e12b04febb1d77057d59b824fa85

Observation 7b94d1b7-b7a0-4189-b74d-022f577ae124 · outbound

This paper cites S., and Kersting, K.

Grokking Explained: A Statistical Phenomenon S., and Kersting, K

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T14:36:16.551428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=arxiv_source observed=2026-08-09T14:36:16.443139Z digest=sha256:963bc233c0973eb58a85b54a78c1248d40d21a3c0717381665ed47ac4262d394

Observation bf42742f-24ea-44d6-a04f-1d1159adf266 · outbound

This paper cites Grokking phase transitions in learning local rules with gradient descent.

Grokking Explained: A Statistical Phenomenon Grokking phase transitions in learning local rules with gradient descent

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-09T14:36:16.447589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-09T14:36:16.447589Z digest=sha256:2443e3e137fbca3d34bc0ed16912ae23fb4099d0c658e2302986d9ee30fa030f

Pith citing papers

Observation 1632e7ba-0a88-4de1-8352-bb4e3994cbe7 · inbound

Topological Signatures of Grokking cites this paper.

Topological Signatures of Grokking Grokking Explained: A Statistical Phenomenon

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-11T19:01:13.292165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-08T13:04:54.513192Z digest=sha256:1d7ab7ff3cc420110f1857636caf86ca075f3aa2bd97ec052fdc1e6e9f24a13c