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Paper Citation Record · LEDGER

A Simple Convergence Proof of Adam and Adagrad

As of 14 July 2026, this Paper Citation Record lists 0 of 0 outbound references and 13 inbound Pith citation observations for arXiv:2003.02395.

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

pith.paper-citation-record.v1
2003.02395 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-13T06:30:06.624239+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T07:23:08.790416Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T19:45:30.284838Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
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  • 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 fa980dbf-cf7a-4b95-a780-8610902695cb · inbound

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

A Physics-Inspired Optimizer: Velocity Regularized Adam A Simple Convergence Proof of Adam and Adagrad

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-22T14:34:54.273213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=pdf_text observed=2026-05-22T14:34:37.468180Z digest=sha256:187a84e8e08b25ae95608cf7ecdf040605c6f39ee96626b905160b615e6a7569

Observation e87418e9-938f-4479-a920-69d818765d0e · inbound

Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate cites this paper.

Adam-HNAG: A Convergent Reformulation of Adam with Accelerated Rate A Simple Convergence Proof of Adam and Adagrad

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-11T08:16:00.183525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=pdf_text observed=2026-05-10T16:45:24.402328Z digest=sha256:e1f92723d5c2f0a754801edfd4de25d8941aa19ed64faed40d464ef89bd773ca

Observation 5244bbc8-983b-42ae-9bf1-cb62e856531f · inbound

Stochastic Non-Smooth Convex Optimization with Unbounded Gradients cites this paper.

Stochastic Non-Smooth Convex Optimization with Unbounded Gradients A Simple Convergence Proof of Adam and Adagrad

Reference 9

Resolution
metadata mismatch
arxiv_id, observed 2026-05-19T15:17:39.266660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=pdf_text observed=2026-05-19T15:17:01.028675Z digest=sha256:183174a3cb3ee4db4f15ba4a09161ce4499f9522ba8e84962e7016ec7ea439f9

Observation dc17e985-ae28-4da9-9f2f-3e1c39bc158c · inbound

Artificial Adaptive Intelligence: The Missing Stage Between Narrow and General Intelligence cites this paper.

Artificial Adaptive Intelligence: The Missing Stage Between Narrow and General Intelligence A Simple Convergence Proof of Adam and Adagrad

Reference 5

Resolution
metadata mismatch
arxiv_id, observed 2026-05-19T21:17:48.819201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=pdf_text observed=2026-05-19T21:13:19.839612Z digest=sha256:203bc978b1ad1f7b721e06ac11b1fe5dce9cbd4369fe34b2c15390f9fc830a52

Observation 4d7df316-3547-4cc6-9527-fa2a5c88999d · inbound

Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approach cites this paper.

Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approach A Simple Convergence Proof of Adam and Adagrad

Reference 289

Resolution
metadata mismatch
arxiv_id, observed 2026-05-20T07:53:09.919164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=arxiv_source observed=2026-05-20T07:50:52.050949Z digest=sha256:2531d8b6e1dc80b86dfe95b89088530aaa4af7c6ec7d0425423154ca2882d842

Observation 03ad673c-74d3-42a6-84f4-7db6f8587ccd · inbound

ChunkFT: Byte-Streamed Optimization for Memory-Efficient Full Fine-Tuning cites this paper.

ChunkFT: Byte-Streamed Optimization for Memory-Efficient Full Fine-Tuning A Simple Convergence Proof of Adam and Adagrad

Reference 51

Resolution
metadata mismatch
arxiv_id, observed 2026-05-21T05:49:41.030999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=pdf_text observed=2026-05-21T05:46:08.709560Z digest=sha256:08cdc48a72b9838dbc7ffac5a70fe91aceeb90743ce7a96dfbc0c860d06a4ecc

Observation 747b62cb-f7a0-459f-82f8-b5a36ad4787f · inbound

Why SGD is not Brownian Motion: A New Perspective on Stochastic Dynamics cites this paper.

Why SGD is not Brownian Motion: A New Perspective on Stochastic Dynamics A Simple Convergence Proof of Adam and Adagrad

Reference 154

Resolution
metadata mismatch
arxiv_id, observed 2026-05-22T08:11:17.277950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=arxiv_source observed=2026-05-22T08:06:52.309619Z digest=sha256:aeb2941d46a385913cc4e100c881683441724ecc2f8697afdba88f76dcbad870

Observation 8c2fbe4f-de3a-4a9b-9d47-bff83b8d573a · inbound

Why Muon Outperforms Adam: A Curvature Perspective cites this paper.

Why Muon Outperforms Adam: A Curvature Perspective A Simple Convergence Proof of Adam and Adagrad

Reference 134

Resolution
verified exact
arxiv_id, observed 2026-07-02T07:16:44.436046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=arxiv_source observed=2026-06-28T07:04:21.012269Z digest=sha256:7901012b64392afcadacf1516a1f7e5d784d549654ab4e470696ebcc63d71f4d

Observation e4c641d7-887d-41d3-8532-e27c712f6101 · inbound

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality cites this paper.

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality A Simple Convergence Proof of Adam and Adagrad

Reference 81

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T23:47:28.535479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=arxiv_source observed=2026-06-27T17:47:21.377462Z digest=sha256:0203270fe48163a93536e182d87c2cb4010d9403fd7f81fa07fa6b8c7477bb94

Observation 781a6de4-9d8a-43a4-af6d-0728ec83a867 · inbound

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality cites this paper.

OptMuon: Closed-Loop Orthogonalized Momentum Methods for Stochastic Optimization with Zero-Noise Optimality A Simple Convergence Proof of Adam and Adagrad

Reference 87

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T05:43:08.879769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=arxiv_source observed=2026-06-29T05:33:27.870787Z digest=sha256:8fa1ae25868138e815910a91b390686fa4354d66fcb37099ac29bbd4d48242f7

Observation 7f275ab1-bb77-4a1a-a389-0b7004d9587c · inbound

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

Muon Learns More Robust and Transferable Features than Adam A Simple Convergence Proof of Adam and Adagrad

Reference 47

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T00:27:30.108730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=arxiv_source observed=2026-06-27T17:08:30.717799Z digest=sha256:fe256250bed701c97a3f211cf3daf1bf961e1d512d069a6b955c0d129bcda3c4

Observation 65d724f0-f642-4557-ac80-22cfa17b6bf0 · inbound

Optimality-Informed Neural Networks for Lunar Landing Trajectory Optimization cites this paper.

Optimality-Informed Neural Networks for Lunar Landing Trajectory Optimization A Simple Convergence Proof of Adam and Adagrad

Reference 21

Resolution
unresolved
no resolver link, observed 2026-07-12T07:23:08.790416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T07:23:08.790416Z digest=sha256:862b9982dcecac7e2d4e5739456928974266cee383d4b0fa57054396a3ae950d

Observation 7a2114a4-8b9c-42bb-9b5f-f11f3cbaa4a6 · inbound

Stability Annealing Selects the Implicit Bias of Smoothed Sign Descent: A Rate-Indexed Barrier Path on Separable Data cites this paper.

Stability Annealing Selects the Implicit Bias of Smoothed Sign Descent: A Rate-Indexed Barrier Path on Separable Data A Simple Convergence Proof of Adam and Adagrad

Reference 34

Resolution
metadata mismatch
local_arxiv, observed 2026-07-08T19:45:30.286120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-13T06:30:06.624239+00:00.

source=arxiv_source observed=2026-07-08T19:37:20.419929Z digest=sha256:d8c13eafa1eada120aaf450e3c78c618e5f5d3e3835ed81ba137b4202af201e4