Paper Citation Record · LEDGER

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries

As of 22 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.23967.

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

pith.paper-citation-record.v1
2607.23967 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T23:28:33.757879Z

measured 22 of 22 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 351d8126-0e24-4aa9-9097-c339477ecd9e · outbound

This paper cites 2022 , eprint =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries 2022 , eprint =

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:31.708547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 798aee77-090c-407c-b4b4-05126c3ddf63 · outbound

This paper cites Nolte and Eric Michaud and Max Tegmark and Mike Williams , title =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Nolte and Eric Michaud and Max Tegmark and Mike Williams , title =

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:31.803642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d627191-9930-4797-a61c-5335dd465f04 · outbound

This paper cites Omnigrok: Grokking Beyond Algorithmic Data.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Omnigrok: Grokking Beyond Algorithmic Data

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:31.923177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b21bb05-bbc8-4671-9f29-b05fa4c77cc1 · outbound

This paper cites 2023 , booktitle =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries 2023 , booktitle =

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.035569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e353a875-85ca-4618-8d51-588c3dcd9b67 · outbound

This paper cites 2023 , eprint =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries 2023 , eprint =

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.137675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51cc767d-e4ed-4877-9509-260883c85a38 · outbound

This paper cites Sutherland , title =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Sutherland , title =

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.305283Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fbed7da2-7731-4399-987e-e2e7912cfc86 · outbound

This paper cites Baraniuk , title =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Baraniuk , title =

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.416708Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec0b3d67-c1fd-476e-8da5-cc7d3ea4079e · outbound

This paper cites Proceedings of the 42nd International Conference on Machine Learning , volume =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Proceedings of the 42nd International Conference on Machine Learning , volume =

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.497314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d9ca53bd-3303-4703-b882-bca6cda6b8b8 · outbound

This paper cites Proceedings of the 42nd International Conference on Machine Learning , volume =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Proceedings of the 42nd International Conference on Machine Learning , volume =

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.574253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 024272ad-1b0e-475e-bd42-5f2fe3224a20 · outbound

This paper cites Exact solutions to the nonlinear dynamics of learning in deep linear neural networks.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Exact solutions to the nonlinear dynamics of learning in deep linear neural networks

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.650657Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cffa8834-9724-4bc8-a70c-997851c35b60 · outbound

This paper cites Du and Wei Hu and Jason D.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Du and Wei Hu and Jason D

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.747393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b918e751-2890-4b1e-a17a-2755bf031175 · outbound

This paper cites Neural Computation , year =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Neural Computation , year =

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.817745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eadcab60-d58a-413d-bf84-6756eb85e94d · outbound

This paper cites Neural Tangent Kernel: Convergence and Generalization in Neural Networks , year =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Neural Tangent Kernel: Convergence and Generalization in Neural Networks , year =

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:32.902757Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cbba51cf-fe06-4387-95fd-c18c15339fc1 · outbound

This paper cites 2025 , booktitle =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries 2025 , booktitle =

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:33.002268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2982eb1-1e82-4eae-9e27-745166f671a3 · outbound

This paper cites 2021 , booktitle =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries 2021 , booktitle =

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:33.104183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5afb686b-65f1-43b8-9883-fcd397e21b01 · outbound

This paper cites Abide by the Law and Follow the Flow: Conservation Laws for Gradient Flows , year =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Abide by the Law and Follow the Flow: Conservation Laws for Gradient Flows , year =

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:33.224344Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a5fcf63-de7d-4c38-926a-38a9768661e4 · outbound

This paper cites Keep the Momentum: Conservation Laws Beyond.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Keep the Momentum: Conservation Laws Beyond

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:33.343613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54eebcb2-b38f-4c11-8130-0097320811d4 · outbound

This paper cites Lee and Wei Hu , title =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Lee and Wei Hu , title =

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:33.418298Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bb6323d-1b40-4365-941e-90173cd3caa2 · outbound

This paper cites Gershman and Cengiz Pehlevan , title =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Gershman and Cengiz Pehlevan , title =

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:33.499352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 80529d63-1313-4879-86d7-7a88320d90b9 · outbound

This paper cites Benjamin and David Klindt , title =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries Benjamin and David Klindt , title =

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:33.560068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd297243-37ce-43cf-bff2-76e9648d703d · outbound

This paper cites 2026 , eprint =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries 2026 , eprint =

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:33.651836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c809d39c-fb3f-4755-8003-cb9a3a4227e1 · outbound

This paper cites 2026 , eprint =.

Grokking on the Weight-Decay Clock: A Rate Hierarchy from Softly Broken Symmetries 2026 , eprint =

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-31T23:28:33.757879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.