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Paper Citation Record · LEDGER

Two Speeds of Learning: A Representation-Readout Decomposition of Grokking and Double Descent

As of 10 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 2 inbound Pith citation observations for arXiv:2605.27078.

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

pith.paper-citation-record.v1
2605.27078 v2

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T18:53:22.711734Z

measured 6 of 6 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:45:20.852347Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T04:45:21.327135Z

Reference resolution

4 of 4 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 69472673-65cb-496d-a358-c255b49b871b · outbound

This paper cites Data augmentation consists of random crops (padding 4) and random horizontal flips; no augmentation is applied at test time.

Two Speeds of Learning: A Representation-Readout Decomposition of Grokking and Double Descent Data augmentation consists of random crops (padding 4) and random horizontal flips; no augmentation is applied at test time

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-29T18:53:22.711734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:53:22.711734Z digest=sha256:c4361bfe2278d4a762bf74c85ec84fba48ca1fe6fbef927e9322ca7af867050f

Observation e098aac7-52c4-497f-b1cf-511ffa7cdc4d · outbound

This paper cites Clauw et al.

Two Speeds of Learning: A Representation-Readout Decomposition of Grokking and Double Descent Clauw et al

Reference 2

Resolution
unresolved
no resolver link, observed 2026-06-29T18:53:22.711734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:53:22.711734Z digest=sha256:1262acc71afcad734f228e7b325e5dcdc12021311ab20196cf4c33f5b0a68a16

Observation 73b2277e-d90b-4201-9d19-2714752c7c7a · outbound

This paper cites Our framework differs from these approaches primarily in interpretability.

Two Speeds of Learning: A Representation-Readout Decomposition of Grokking and Double Descent Our framework differs from these approaches primarily in interpretability

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-29T18:53:22.711734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:53:22.711734Z digest=sha256:e1a7696e8e5c90be2c3f4c9c32328acf402194b1f8ff0d57ef8622673c0e6282

Observation ef1e4c4b-91de-4f7c-a4cd-c3713d8d254f · outbound

This paper cites an unresolved cited work.

Two Speeds of Learning: A Representation-Readout Decomposition of Grokking and Double Descent Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-06-29T18:53:22.711734Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T18:53:22.711734Z digest=sha256:5c07899e4fe86c788d77e1b239af2f6252fd01a804c25f93ca5178c0a4186ed5

Pith citing papers

Observation 23e2cec3-3cac-45cc-ba2f-dca52c22c6cb · inbound

Structure-Specific Representational Priors Causally Control the Grokking Delay cites this paper.

Structure-Specific Representational Priors Causally Control the Grokking Delay Two Speeds of Learning: A Representation-Readout Decomposition of Grokking and Double Descent

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-11T20:00:51.742281Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T20:00:51.742281Z digest=sha256:52487a67f956fdedd330b867c387bf5e7f388da533c7f2fbfa703e16c0a188e9

Observation ba9b8fa6-533e-4b64-8f60-dcc879a91e3b · inbound

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers cites this paper.

Post-Grokking Collapse at the Representation-Readout Interface in Muon-Trained Transformers Two Speeds of Learning: A Representation-Readout Decomposition of Grokking and Double Descent

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-08-10T04:45:21.332101Z

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=2026-08-10T04:45:20.852347Z digest=sha256:6edafc8cd92f4e225f89e6005ebcee81b6030f65d68b8998f41737944b773922