Paper Citation Record · LEDGER

The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 23 inbound Pith citation observations for arXiv:2206.04817.

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

pith.paper-citation-record.v1
2206.04817 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 23 of 23 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 23 of 23 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T04:45:20.903362Z

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

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External citation measurements

4
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 f1977f38-2afb-4b31-bbec-08d0e56fe5fb · inbound

Progress measures for grokking via mechanistic interpretability cites this paper.

Progress measures for grokking via mechanistic interpretability The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 51

Resolution: metadata mismatch; arxiv_id, observed 2026-05-14T21:52:56.152071Z

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.

Observation dd48eb36-bbad-44a5-91da-b6bf244dc858 · inbound

Grokking vs. Learning: Same Features, Different Encodings cites this paper.

Grokking vs. Learning: Same Features, Different Encodings The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-09T14:44:27.135407Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 710e4e68-8017-4f3e-aa4f-134079e650a9 · inbound

Learning words in groups: fusion algebras, tensor ranks and grokking cites this paper.

Learning words in groups: fusion algebras, tensor ranks and grokking The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T22:57:12.255903Z

Source-reported events for the cited work

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Observation a6c99180-590c-4a7d-a647-0b2bb25e3baf · inbound

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

Egalitarian Gradient Descent: A Simple Approach to Accelerated Grokking The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-21T21:14:22.073872Z

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.

Observation 71d7b6a0-c873-4c9a-8775-9d98f9f5702b · inbound

On the Convergence Behavior of Preconditioned Gradient Descent Toward the Rich Learning Regime cites this paper.

On the Convergence Behavior of Preconditioned Gradient Descent Toward the Rich Learning Regime The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 18

Resolution: metadata mismatch; arxiv_id, observed 2026-05-16T17:23:09.899076Z

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.

Observation 86e20a61-efbf-4781-9eac-c6443c57eb8b · 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 The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 11

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T16:20:09.793830Z

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.

Observation 789f0a5a-1a0e-4f84-a1be-5d13770551d4 · 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 The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 12

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T16:20:09.281607Z

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.

Observation b71939f2-4269-4faf-b3f6-610392fb1f89 · inbound

A Model of Understanding in Deep Learning Systems cites this paper.

A Model of Understanding in Deep Learning Systems The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-13T16:53:00.153816Z

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.

Observation 2279688d-41a7-4cb1-bed6-792e2dd87f79 · inbound

Beamforming Feedback as a Novel Attack Surface for Wi-Fi Physical-Layer Security cites this paper.

Beamforming Feedback as a Novel Attack Surface for Wi-Fi Physical-Layer Security The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T11:07:39.016814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6749230f-a5e7-498c-a01e-cbbad0edd17f · inbound

Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes cites this paper.

Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-11T18:51:07.655795Z

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.

Observation 73721a52-36af-4587-bb4d-1620b47b2161 · inbound

Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes cites this paper.

Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-13T07:12:27.983851Z

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.

Observation 22881c92-2658-428a-be82-ba4aa66a08cc · inbound

Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes cites this paper.

Grokking or Glitching? How Low-Precision Drives Slingshot Loss Spikes The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-30T23:35:07.163290Z

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.

Observation 08a7977a-a23c-4b4d-9df2-9f270ad3c433 · inbound

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

Model Capacity Determines Grokking through Competing Memorisation and Generalisation Speeds The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-12T03:56:19.425391Z

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.

Observation 5bde679a-ebd9-40cb-86be-a4f686e7706a · 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 The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 204

Resolution: verified exact; arxiv_id, observed 2026-05-20T01:32:56.117401Z

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.

Observation 5a35fbd0-7b93-4908-af05-30c0516c0b66 · 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 The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 204

Resolution: verified exact; arxiv_id, observed 2026-05-25T06:40:24.991388Z

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.

Observation c8edc61c-9b53-4a86-9170-676d1211129e · inbound

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

Circuit Synchronization Precedes Generalization: A Causal Precursor to Grokking The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 11

Resolution: verified exact; arxiv_id, observed 2026-07-03T14:08:22.524690Z

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.

Observation 105dbff8-763a-4b93-99fe-fc9063a544f5 · inbound

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

SingGuard: A Policy-Adaptive Multimodal LLM Guardrail with Dynamic Reasoning The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 71

Resolution: verified exact; arxiv_id, observed 2026-07-04T09:59:44.996158Z

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.

Observation 42e26feb-606f-4877-80ee-4b6882a91a08 · inbound

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

SingGuard: A Policy-Adaptive Multimodal LLM Guardrail with Dynamic Reasoning The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 71

Resolution: verified exact; arxiv_id, observed 2026-07-01T18:55:59.736923Z

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.

Observation b37d3adf-19eb-4ab7-927a-084e07d43a4c · inbound

Learning as Observable Matrix Dynamics: Diffusive Relaxations versus Phase Transitions cites this paper.

Learning as Observable Matrix Dynamics: Diffusive Relaxations versus Phase Transitions The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-06-30T07:04:21.162501Z

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 77fb9130-ed88-4689-9e63-3f9b2469fa58 · inbound

Grokking Is Conditional and Fragile: A Fully-Tractable, Multi-Seed Study at 12K Parameters cites this paper.

Grokking Is Conditional and Fragile: A Fully-Tractable, Multi-Seed Study at 12K Parameters The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T08:46:29.099447Z

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Observation ea9f7ef8-83ae-43e0-8493-c6095aefb82e · inbound

The Active Ingredient in Muon's Grokking cites this paper.

The Active Ingredient in Muon's Grokking The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T08:28:33.489230Z

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Observation 41793d77-9d0a-4fbe-8622-e7cdf2b5b625 · inbound

Thermodynamic Weight Decay: Exploring Grokking Acceleration via Attention Specific Heat cites this paper.

Thermodynamic Weight Decay: Exploring Grokking Acceleration via Attention Specific Heat The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T04:40:29.245659Z

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Observation 932e19b7-2af1-48d5-a846-e767267de3ed · 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 The Slingshot Mechanism: An Empirical Study of Adaptive Optimizers and the Grokking Phenomenon

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T04:45:20.903362Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.