Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T10:21:24.036574Z
Paper Citation Record · LEDGER
Grokking Beyond the Euclidean Norm of Model Parameters
As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2506.05718.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-27T00:44:38.335028Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T21:18:58.709358Z
Reference resolution
31 of 31 outbound references displayed
- verified exact0
- verified fuzzy13
- unresolved15
- parse uncertain0
- malformed identifier1
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3103a508-dbdb-4db0-a7bd-7c9c9aef1749 · outbound
This paper cites We also have ∥zy∥2 ≤ L since L = supy′∈B(x,r) supz∈∂h(y′) ∥z∥2.
Grokking Beyond the Euclidean Norm of Model Parameters We also have ∥zy∥2 ≤ L since L = supy′∈B(x,r) supz∈∂h(y′) ∥z∥2
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:28.018490Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0e0bc94f-9178-4551-a50a-9b9e11bde47d · outbound
This paper cites Then, for any η >0, mint1≤t≤t2 f (x(t)) − f ∗ ≤ (η+Cαβ )β 2 if and only if t2 ≥ t1 + R2 αβη.
Grokking Beyond the Euclidean Norm of Model Parameters Then, for any η >0, mint1≤t≤t2 f (x(t)) − f ∗ ≤ (η+Cαβ )β 2 if and only if t2 ≥ t1 + R2 αβη
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:28.281388Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 153ad6b5-7b97-4327-bf5c-171ccc403644 · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:26.860202Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e4fe17ae-bf06-4851-b425-f55a2ea9bc7f · outbound
This paper cites Unveiling the Dynamics of Information Interplay in Supervised Learning.
Grokking Beyond the Euclidean Norm of Model Parameters Unveiling the Dynamics of Information Interplay in Supervised Learning
Reference 6
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-07T10:21:24.310078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9b00abb7-2d86-408e-9aa1-55ec7455b83d · outbound
This paper cites Explaining grokking through circuit efficiency.
Grokking Beyond the Euclidean Norm of Model Parameters Explaining grokking through circuit efficiency
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:21:21.958566Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bf5bf52f-3cc3-4bca-b796-dbe505fab23b · outbound
This paper cites Then for all 0 ≤ j ≤ k − 1, |Rj| ≤ ϵα∥∇g(x(j))∥2 2 if α ≤ 2(ϵ − γ)/L2p (ϵ + γ)α∥∇g(x(j))∥2 2 if α ≤ 2ϵ/L2p (37) Proof.
Grokking Beyond the Euclidean Norm of Model Parameters Then for all 0 ≤ j ≤ k − 1, |Rj| ≤ ϵα∥∇g(x(j))∥2 2 if α ≤ 2(ϵ − γ)/L2p (ϵ + γ)α∥∇g(x(j))∥2 2 if α ≤ 2ϵ/L2p (37) Proof
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:28.153707Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0a368504-1029-4fda-a8d8-4d47a5dfc45c · outbound
This paper cites So ∥∇f (y)∥2 2 f (y) ≥ β ∥zy∥2 2 h(y) ≥ βχ(h, x, r′).
Grokking Beyond the Euclidean Norm of Model Parameters So ∥∇f (y)∥2 2 f (y) ≥ β ∥zy∥2 2 h(y) ≥ βχ(h, x, r′)
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:27.880780Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 498ac956-50b8-46a1-b6e8-72c91c9f1d19 · outbound
This paper cites Theorem C.29.
Grokking Beyond the Euclidean Norm of Model Parameters Theorem C.29
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:27.744556Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 4e036362-f0e9-4a41-80b3-f611e7f9b69c · outbound
This paper cites g(ˆa) − 1 2 ∥ξ∥2 2 = − 1 2 ξ⊤UU⊤ξ = − 1 2 ∥U⊤ξ∥2.
Grokking Beyond the Euclidean Norm of Model Parameters g(ˆa) − 1 2 ∥ξ∥2 2 = − 1 2 ξ⊤UU⊤ξ = − 1 2 ∥U⊤ξ∥2
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:27.621223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7da838f3-7b67-4e47-b9a4-2819edacee8c · outbound
This paper cites In particular, if a∗ has a nonzero component orthogonal to the column space Col(V) of V, then ˆa cannot perfectly generalize.
Grokking Beyond the Euclidean Norm of Model Parameters In particular, if a∗ has a nonzero component orthogonal to the column space Col(V) of V, then ˆa cannot perfectly generalize
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:27.488158Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3dc9044d-d0cc-4532-aa37-701739a29a8b · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:27.314232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 925820de-3188-40ba-b3ad-36cc942b6d9f · outbound
This paper cites 37 Grokking Beyond the Euclidean Norm of Model Parameters.
Grokking Beyond the Euclidean Norm of Model Parameters 37 Grokking Beyond the Euclidean Norm of Model Parameters
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:27.172363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 02d55c49-813e-49fd-8fd0-c682cf0d94b2 · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:27.008084Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 31fd6f2e-7b20-4f97-be7f-6bc57b602da1 · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:26.730043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 411c64f6-dd1a-425f-b558-30c86ab76f5d · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:26.549141Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f86d3e39-1a9a-4684-811c-db0abfffc172 · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:26.297571Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6d1087d9-4fd0-4541-ac06-30757f4d1337 · outbound
This paper cites Suppose we start at some A(1).
Grokking Beyond the Euclidean Norm of Model Parameters Suppose we start at some A(1)
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:26.150100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 90f94905-5f46-48d7-a297-332ff8156b29 · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:25.962329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 175b2601-89b9-49b3-9d87-60f6379bc876 · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:25.796449Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 357a8c2d-12d7-4327-beab-aa81b8f57fc5 · outbound
This paper cites , σ(1) r1 the singular values of A(1).
Grokking Beyond the Euclidean Norm of Model Parameters , σ(1) r1 the singular values of A(1)
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:25.644483Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5a5e7180-d237-497b-917f-7f27c3bf3e0a · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:25.512627Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 81956f5d-0ac3-477e-8f67-4bd5099b8980 · outbound
This paper cites an unresolved cited work.
Grokking Beyond the Euclidean Norm of Model Parameters Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T10:21:25.354431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5e98e864-dade-4351-88bd-609a26eadeb5 · outbound
This paper cites grokking without understanding.
Grokking Beyond the Euclidean Norm of Model Parameters grokking without understanding
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:25.111468Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9631bca6-19d9-4bab-a3ad-e5d1b25dabb2 · outbound
This paper cites grokking without understanding.
Grokking Beyond the Euclidean Norm of Model Parameters grokking without understanding
Reference 31
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-07T10:21:24.831209Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2beae235-c702-4dc8-891b-30037aa78462 · outbound
This paper cites Implicit Regularization in Deep Learning May Not Be Explainable by Norms.
Grokking Beyond the Euclidean Norm of Model Parameters Implicit Regularization in Deep Learning May Not Be Explainable by Norms
Reference 45
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:21:21.818876Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8d8cb86-4c54-4f7b-bf81-9f00d07ac523 · outbound
This paper cites Predicting Grokking Long Before it Happens: A look into the loss landscape of models which grok.
Grokking Beyond the Euclidean Norm of Model Parameters Predicting Grokking Long Before it Happens: A look into the loss landscape of models which grok
Reference 1995
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:21:21.670705Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9a086b1-a6a4-4aeb-ae0a-47690f3046d7 · outbound
This paper cites Acceleration of Grokking in Learning Arithmetic Operations via Kolmogorov-Arnold Representation.
Grokking Beyond the Euclidean Norm of Model Parameters Acceleration of Grokking in Learning Arithmetic Operations via Kolmogorov-Arnold Representation
Reference 1996
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-07T10:21:24.523815Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8841bc3c-fde8-48e9-be26-f53b641ce56c · outbound
This paper cites memorization.
Grokking Beyond the Euclidean Norm of Model Parameters memorization
Reference 2022
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:28.600774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 7d709419-1fd9-4519-8a5a-743d13f3c1c7 · outbound
This paper cites incoherent.
Grokking Beyond the Euclidean Norm of Model Parameters incoherent
Reference 2025
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T10:21:28.457035Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 2d3f2e16-1cf3-4a30-93ff-d7499f7080c1 · outbound
This paper cites Progress Measures for Grokking on Real-world Tasks.
Grokking Beyond the Euclidean Norm of Model Parameters Progress Measures for Grokking on Real-world Tasks
Reference 5468
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:21:21.569536Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 68e6b1b3-ef9c-47e0-8735-5024d86f1f3c · outbound
This paper cites Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking.
Grokking Beyond the Euclidean Norm of Model Parameters Dichotomy of Early and Late Phase Implicit Biases Can Provably Induce Grokking
Reference 7200
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:21:21.605878Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation deb56c7f-9d17-4841-b950-c1bfaba0e966 · inbound
What Does the Weight Norm Control in Grokking? Logit-Scale Mediation under Cross-Entropy cites this paper.
What Does the Weight Norm Control in Grokking? Logit-Scale Mediation under Cross-Entropy Grokking Beyond the Euclidean Norm of Model Parameters
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T21:18:58.711256Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.