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Paper Citation Record · LEDGER

A Novel Convergence Analysis for Algorithms of the Adam Family

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2112.03459.

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

pith.paper-citation-record.v1
2112.03459 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T07:04:21.012269Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T20:18:56.208375Z

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 3feba15a-7bca-4398-a3a3-68a93ee0a0ec · inbound

Optimization Hyper-parameter Laws for Large Language Models cites this paper.

Optimization Hyper-parameter Laws for Large Language Models A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-23T20:45:48.831372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T20:45:31.427677Z digest=sha256:ca662692047926f0537798fae5ffa8ba47be18563834b34b7db10454dad2815f

Observation 1a679cd9-47df-46ac-aee8-16fba370fb1a · inbound

On the Convergence of Muon and Beyond cites this paper.

On the Convergence of Muon and Beyond A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 15

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T15:56:34.147639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-05-18T15:56:30.602824Z digest=sha256:ef6fc8adcfda6c58604c0d4899be0388424926bed426784e82b32c2db4c2c271

Observation 2340f814-cd58-4afb-8fe5-06fe02a1022c · inbound

Why Adam Can Beat SGD: Second-Moment Normalization Yields Sharper Tails cites this paper.

Why Adam Can Beat SGD: Second-Moment Normalization Yields Sharper Tails A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-15T16:36:17.480350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-15T16:34:31.388219Z digest=sha256:697f9f10fb8298a74afa19adec865f99986cc6e63c1708bbe435739e8411c084

Observation 95b8ac5e-cc1e-4989-9074-12de02c42851 · inbound

Why Adam Can Beat SGD: Second-Moment Normalization Yields Sharper Tails cites this paper.

Why Adam Can Beat SGD: Second-Moment Normalization Yields Sharper Tails A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-21T11:50:03.791284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-21T11:47:27.345223Z digest=sha256:06d862d16d8fdb81e82fb6133c981c80ffdf179b1a21f6fb56c22e882b1366e8

Observation 250151d8-2915-4299-af2a-6e2938d12d71 · inbound

Lightweight Geometric Adaptation for Training Physics-Informed Neural Networks cites this paper.

Lightweight Geometric Adaptation for Training Physics-Informed Neural Networks A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 40

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T12:25:22.601262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T12:21:58.056762Z digest=sha256:b409578e09219fc847b57b3945ae8e555d6aac02abbb3835879b52ddc949a741

Observation 0633d965-a8c3-4e3b-b4a2-09fba9960622 · inbound

BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization cites this paper.

BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 18

Resolution
metadata mismatch
arxiv_id, observed 2026-05-12T05:56:26.584346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-12T04:47:04.868735Z digest=sha256:02e518b258312ebd7e0da1bb3208ae5feef404a4fb9651134d8a78948abb383c

Observation 6cbf052c-e207-4652-8d3c-aa55beeba20d · inbound

BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization cites this paper.

BROS: Bias-Corrected Randomized Subspaces for Memory-Efficient Single-Loop Bilevel Optimization A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 18

Resolution
metadata mismatch
arxiv_id, observed 2026-05-13T06:22:23.312646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-13T06:20:42.781613Z digest=sha256:d9bf3957ae4a00069abcdc5af6e4a914e46deef83544fd0be85ca1a9fe76dff2

Observation b7fd7ede-67cd-4773-9a34-a15f7025401a · inbound

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

Why Muon Outperforms Adam: A Curvature Perspective A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 144

Resolution
verified exact
arxiv_id, observed 2026-07-02T07:06:44.996018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=arxiv_source observed=2026-06-28T07:04:21.012269Z digest=sha256:628f956bf6fd2a2632676a8be183f01753773512f9931dd256844c8cc394c81b

Observation 0bafd005-2a56-4c89-87a9-7b13b09be1c4 · inbound

MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimization cites this paper.

MGUP: A Momentum-Gradient Alignment Update Policy for Stochastic Optimization A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 30

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T20:18:56.210194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-27T01:31:53.550342Z digest=sha256:4c92e07c3dea0449be17f42327ce3e8efb2739ee8c52ec47c2fc802b5c21999a