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Paper Citation Record · LEDGER

Unifying Grokking and Double Descent

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:2303.06173.

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

pith.paper-citation-record.v1
2303.06173 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 16 of 16 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 16 of 16 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:20:31.311984Z

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

2
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 a1567f65-7ae7-4bfb-9799-d8f790b73b5c · inbound

Mechanistic Insights into Grokking from the Embedding Layer cites this paper.

Mechanistic Insights into Grokking from the Embedding Layer Unifying Grokking and Double Descent

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-07T15:20:31.311984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:20:31.311984Z digest=sha256:7dbaf6a6e7c6f74289585e129af6a0956ee92bc97dbd800cf7df79983ad24568

Observation 9ace98a6-1810-4e4e-b52f-24edb86128f2 · inbound

Decomposing Prediction Mechanisms for In-Context Recall cites this paper.

Decomposing Prediction Mechanisms for In-Context Recall Unifying Grokking and Double Descent

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T20:57:48.356869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:57:48.356869Z digest=sha256:191c257e844bec1fbdf3d3959de58d21f3b93cbfc588804a63f106ca8d457ca7

Observation e31dc1b3-80e1-4b74-93f2-84f7f6f886b7 · inbound

A Spin Glass Characterization of Neural Networks cites this paper.

A Spin Glass Characterization of Neural Networks Unifying Grokking and Double Descent

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-05T22:10:36.740327Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-05T22:10:36.740327Z digest=sha256:6aaac28365d3455d718069a9b5a8fe4b7e55bf832d31b8ef2f754e8020c81f90

Observation f4eb1bde-4a10-469e-ba65-2ca00c6fb0d3 · inbound

Egalitarian Gradient Descent: A Simple Approach to Accelerated Grokking cites this paper.

Egalitarian Gradient Descent: A Simple Approach to Accelerated Grokking Unifying Grokking and Double Descent

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-21T21:14:22.061284Z

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=2026-05-21T21:13:24.267454Z digest=sha256:141ecf973b3913771e4620add5b97eef3c8f368e546a1e2ce2ff4600892a9c58

Observation cb7ddb51-c360-4c76-9ede-fedff1017c0e · inbound

Low-Dimensional and Transversely Curved Optimization Dynamics in Grokking cites this paper.

Low-Dimensional and Transversely Curved Optimization Dynamics in Grokking Unifying Grokking and Double Descent

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-15T21:36:40.856987Z

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=2026-05-15T21:31:58.997733Z digest=sha256:80cb3a932ad720cd33131cdbbf1ebfe76a97c5e630c5dfdd820f4686ce8c5644

Observation 722b02d6-3d11-4e53-9eb0-9645ad96c7cd · inbound

The Geometry of Multi-Task Grokking: Transverse Instability, Superposition, and Weight Decay Phase Structure cites this paper.

The Geometry of Multi-Task Grokking: Transverse Instability, Superposition, and Weight Decay Phase Structure Unifying Grokking and Double Descent

Reference 1

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T20:40:18.351870Z

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=2026-05-15T20:39:40.957937Z digest=sha256:1c0d79f8874ba2941cabba163149658b6ae27d7d4a5cdb5bc2e2b9c2d6a97775

Observation 1ec4e135-1b9a-4ca2-915a-c40c13eebb5a · inbound

The Norm-Separation Delay Law of Grokking: A First-Principles Theory of Delayed Generalization cites this paper.

The Norm-Separation Delay Law of Grokking: A First-Principles Theory of Delayed Generalization Unifying Grokking and Double Descent

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T16:20:09.800480Z

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=2026-05-15T16:18:38.081157Z digest=sha256:b3cd7990ea8ea24b276465d52d5b11cf9e3b4981982cbb562a78c1ccc905b780

Observation 50d9b0fa-6633-4924-9bae-860525fd8c34 · inbound

The Norm-Separation Delay Law of Grokking: A First-Principles Theory of Delayed Generalization cites this paper.

The Norm-Separation Delay Law of Grokking: A First-Principles Theory of Delayed Generalization Unifying Grokking and Double Descent

Reference 5

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T16:20:09.284692Z

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=2026-05-15T16:18:38.081157Z digest=sha256:1a5d8b82bb3b5bc1a4f20eac4bbd841768a5bf66d5ad631cbb9f8c9d3c57b2ca

Observation 13d88622-dabf-4dd0-a8d1-5db4211215d5 · inbound

Grokking of Diffusion Models: Case Study on Modular Addition cites this paper.

Grokking of Diffusion Models: Case Study on Modular Addition Unifying Grokking and Double Descent

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:56:47.812555Z

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=2026-05-10T05:28:08.221886Z digest=sha256:eb63be7a7da090f834b8a4d2d6beaf07cc8f22dc781dc5ca8efe24ad56d57181

Observation 8feb0977-31e0-4975-9493-bb1effad889e · inbound

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

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds Unifying Grokking and Double Descent

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-12T03:56:21.741404Z

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=sha256:384f6a793fa9428b4c130a4089b387669cb698f20ad45119060a4b51c79c022b

Observation ac815902-6c28-40fc-87e3-ca9c199ac603 · inbound

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent cites this paper.

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent Unifying Grokking and Double Descent

Reference 193

Resolution
verified exact
arxiv_id, observed 2026-05-20T01:32:56.047867Z

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=2026-05-20T01:29:14.555216Z digest=sha256:ed5e39440f39fbeb09d81451c4ca4f1570a63b23ef538011535b8cf40cf4604f

Observation ab554f4d-4af7-40b9-89ea-5e81f8cd5634 · inbound

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent cites this paper.

Feature Learning in Linear-Width Two-Layer Networks: Two vs. One Step of Gradient Descent Unifying Grokking and Double Descent

Reference 193

Resolution
verified exact
arxiv_id, observed 2026-05-25T06:40:24.762825Z

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=2026-05-25T06:39:16.246591Z digest=sha256:6121fcbe817d31a7695a36c1e28b87c1068c4c72918c1e4a633598c28e829748

Observation fda83eba-7167-4ae4-a2e8-a7d734071424 · inbound

Unveiling Memorization-Generalization Coexistence: A Case Study on Arithmetic Tasks with Label Noise cites this paper.

Unveiling Memorization-Generalization Coexistence: A Case Study on Arithmetic Tasks with Label Noise Unifying Grokking and Double Descent

Reference 35

Resolution
metadata mismatch
arxiv_id, observed 2026-05-20T12:28:16.618970Z

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=2026-05-20T12:27:56.774581Z digest=sha256:72ce75728dd8a9c9c3a2d21fbad24216e44d17388d639a44bbdddebdd3bdd4a9

Observation 18311ca9-1b1e-4439-adb0-e92fd0e794ce · inbound

Circuit Synchronization Precedes Generalization: A Causal Precursor to Grokking cites this paper.

Circuit Synchronization Precedes Generalization: A Causal Precursor to Grokking Unifying Grokking and Double Descent

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-03T14:08:22.532247Z

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=2026-06-27T07:09:22.925799Z digest=sha256:5ca7d33b18589880fcb8a1719f70a67c3465ab5029dd9f2cd78f550151c6d9ff

Observation 338886a3-644a-4f03-863f-0ed2e86f4eb8 · inbound

SingGuard: A Policy-Adaptive Multimodal LLM Guardrail with Dynamic Reasoning cites this paper.

SingGuard: A Policy-Adaptive Multimodal LLM Guardrail with Dynamic Reasoning Unifying Grokking and Double Descent

Reference 72

Resolution
verified exact
arxiv_id, observed 2026-07-04T09:59:45.148706Z

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=2026-06-26T09:19:50.623741Z digest=sha256:9d8cd32052a3a718aee83fcbccf571a382f2b8b509e8af7d943b75a36685a39c

Observation 72031056-d2dd-4358-bfa5-d0733a6a1ae1 · inbound

SingGuard: A Policy-Adaptive Multimodal LLM Guardrail with Dynamic Reasoning cites this paper.

SingGuard: A Policy-Adaptive Multimodal LLM Guardrail with Dynamic Reasoning Unifying Grokking and Double Descent

Reference 72

Resolution
verified exact
arxiv_id, observed 2026-07-01T18:55:59.694861Z

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=2026-06-29T01:18:19.195007Z digest=sha256:d182205f9c4401d7bd0c1c75571c9bc2f3b191b105d8e364250d40301673de1c