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Paper Citation Record · LEDGER

Adaptive Gradient Methods at the Edge of Stability

As of 31 July 2026, this Paper Citation Record lists 0 of 0 outbound references and 15 inbound Pith citation observations for arXiv:2207.14484.

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

pith.paper-citation-record.v1
2207.14484 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-31T06:34:12.847434+00:00

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T20:06:39.488359Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T23:59:07.494142Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 0032da27-34b3-4abb-8f56-06ff0d7d7351 · inbound

H$_2$O: Heavy-Hitter Oracle for Efficient Generative Inference of Large Language Models cites this paper.

H$_2$O: Heavy-Hitter Oracle for Efficient Generative Inference of Large Language Models Adaptive Gradient Methods at the Edge of Stability

Reference 89

Resolution
metadata mismatch
arxiv_id, observed 2026-05-17T18:00:50.228327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=pdf_text observed=2026-05-17T18:00:50.053377Z digest=sha256:483c9978862311143612073a5e0d1f5df289ae14048f3850ec13d6da1d0df893

Observation 6f6b20af-965d-40d5-b23b-58489ef3e14f · inbound

A Physics-Inspired Optimizer: Velocity Regularized Adam cites this paper.

A Physics-Inspired Optimizer: Velocity Regularized Adam Adaptive Gradient Methods at the Edge of Stability

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-22T14:34:54.325934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=pdf_text observed=2026-05-22T14:34:37.468180Z digest=sha256:487fd2a1ff18fdcbcb7d00f1df710be3bae1d6a3db98e0e2015a04eefaa313a0

Observation 7a6f8f57-25eb-48b5-a656-20dcb035ae42 · inbound

GradPower: Powering Gradients for Faster Language Model Pre-Training cites this paper.

GradPower: Powering Gradients for Faster Language Model Pre-Training Adaptive Gradient Methods at the Edge of Stability

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-05-22T02:50:58.467838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=pdf_text observed=2026-05-22T02:48:23.732350Z digest=sha256:4c5d9276b938686bc2f7692cf9ea8d335f6b596430f59e46777d90e4c7243e7d

Observation 827fc45b-2ecd-410d-86b7-95d4f9b6e4fb · inbound

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability cites this paper.

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability Adaptive Gradient Methods at the Edge of Stability

Reference 7

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T13:20:26.336386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=arxiv_source observed=2026-05-10T13:12:58.210967Z digest=sha256:542a2785754c2385f201439b8935261a6e11d3c16eabdb1e6e0dde7ee3ee8c4a

Observation c234da89-3a41-4574-ba3c-868e2653166c · inbound

Zeroth-Order Optimization at the Edge of Stability cites this paper.

Zeroth-Order Optimization at the Edge of Stability Adaptive Gradient Methods at the Edge of Stability

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-10T11:20:10.155420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=pdf_text observed=2026-05-10T11:18:30.486247Z digest=sha256:a8ac64c8b6c98c749f83866c1af0a5422a50b2b830004c01bfdd3f646f792519

Observation d0e68863-1604-4d88-83dc-82d93675190c · inbound

Zeroth-Order Optimization at the Edge of Stability cites this paper.

Zeroth-Order Optimization at the Edge of Stability Adaptive Gradient Methods at the Edge of Stability

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-12T20:06:39.488359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T20:06:39.488359Z digest=sha256:83b453831210aa6585889fda9cc156ea128557c5b302ccabcbb6cb44c8fde86c

Observation 1d46d362-34d8-43e9-a786-22e411bf358e · inbound

A Rod Flow Model for Adam at the Edge of Stability cites this paper.

A Rod Flow Model for Adam at the Edge of Stability Adaptive Gradient Methods at the Edge of Stability

Reference 10

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T05:00:56.642284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=arxiv_source observed=2026-05-11T00:54:24.615112Z digest=sha256:98b8fe68ec5004fce2591ab6319f961220a2fb5d2de053f5a537f3cc44c534e5

Observation b0bf08f8-c421-42f1-bae5-88d61bba304a · inbound

Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer cites this paper.

Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer Adaptive Gradient Methods at the Edge of Stability

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:05:53.357734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=pdf_text observed=2026-05-11T03:02:52.833353Z digest=sha256:71ace72f73301a020f1eaea6c763cb6a42d9941a5736a920dd9deb530c945c46

Observation 4437ed03-1dd5-467a-9852-11efad516dfb · inbound

Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer cites this paper.

Spectral Dynamics in Deep Networks: Feature Learning, Outlier Escape, and Learning Rate Transfer Adaptive Gradient Methods at the Edge of Stability

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-05-22T10:26:24.250757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=pdf_text observed=2026-05-22T10:25:54.649302Z digest=sha256:e197647ea05cf9917f0b61a8cac4d905de3c357f0df856bef472cc0f56ce8150

Observation 7e510be5-6cb6-460e-8c33-19a0bbb6295c · inbound

Phases of Muon: When Muon Eclipses SignSGD cites this paper.

Phases of Muon: When Muon Eclipses SignSGD Adaptive Gradient Methods at the Edge of Stability

Reference 16

Resolution
metadata mismatch
arxiv_id, observed 2026-05-12T06:41:29.090779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=pdf_text observed=2026-05-12T04:05:08.899876Z digest=sha256:63fcd9a3eede97954e1e88377cf84f709e20d4aafb2bcc59c2f1926da4b5a3f2

Observation 3db88260-ee79-4769-af3f-5fdc69e44f80 · inbound

How to Scale Mixture-of-Experts: From muP to the Maximally Scale-Stable Parameterization cites this paper.

How to Scale Mixture-of-Experts: From muP to the Maximally Scale-Stable Parameterization Adaptive Gradient Methods at the Edge of Stability

Reference 83

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T04:49:44.832278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=arxiv_source observed=2026-05-15T04:45:20.091598Z digest=sha256:369ed5dd6c54deb5747286f4910cc7ac97a6167910bf13a1ae76b6c8b0ee5408

Observation 4bcc1924-4001-4735-9b54-bbdce086b21c · inbound

Does Weight Decay Enhance Training Stability? cites this paper.

Does Weight Decay Enhance Training Stability? Adaptive Gradient Methods at the Edge of Stability

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-05-20T19:53:42.967108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=pdf_text observed=2026-05-20T19:49:01.351717Z digest=sha256:ac4f535d763b2d9eaf80bd4776f4f9cd41b67a5353ad2342a4d0ed10dd19f0df

Observation de44e096-d605-4eae-bbbf-7446358d9de1 · inbound

Muon Learns More Robust and Transferable Features than Adam cites this paper.

Muon Learns More Robust and Transferable Features than Adam Adaptive Gradient Methods at the Edge of Stability

Reference 67

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T00:27:30.145125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=arxiv_source observed=2026-06-27T17:08:30.717799Z digest=sha256:3c9c8f7b8332d4a778fe6fda092388e4ab99811eb42eea15129d05d91664fe58

Observation 2d93dacf-de78-4ad9-a8e1-f67cab6d8c69 · inbound

Compute Efficiency and Serial Runtime Tradeoffs for Stochastic Momentum Methods cites this paper.

Compute Efficiency and Serial Runtime Tradeoffs for Stochastic Momentum Methods Adaptive Gradient Methods at the Edge of Stability

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T23:59:07.496632Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=pdf_text observed=2026-06-26T21:31:49.871520Z digest=sha256:1c1793de9c4b105878d68bca816684cdf43818926f7d60ee9e046acd300bcf13

Observation bbd4034d-fe05-418a-a0bb-1de8f8bd9f26 · inbound

Prototype Language Models cites this paper.

Prototype Language Models Adaptive Gradient Methods at the Edge of Stability

Reference 137

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T16:17:08.334106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-31T06:34:12.847434+00:00.

source=arxiv_source observed=2026-07-02T16:13:43.039645Z digest=sha256:52380764eba07841ef0369550cb291b1261fe2d6a9e9728bb56af619543cae0f