Pith. sign in

Paper Citation Record · LEDGER

A Novel Convergence Analysis for Algorithms of the Adam Family

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 10 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 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 10 of 10 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:30:24.968099Z

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-23T20:45:31.427677Z digest=sha256:777af37ef690c1c670c1451faca7376a7a91f6464f61d37183ef9d82aa0b37b5

Observation 0fb4aa0f-b843-4aef-822b-6b94177a9ecd · inbound

Complexity Lower Bounds of Adaptive Gradient Algorithms for Non-convex Stochastic Optimization under Relaxed Smoothness cites this paper.

Complexity Lower Bounds of Adaptive Gradient Algorithms for Non-convex Stochastic Optimization under Relaxed Smoothness A Novel Convergence Analysis for Algorithms of the Adam Family

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-15T23:30:24.968099Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:30:24.968099Z digest=sha256:8ce2f092b6f2b77d2536cad54fcd00f96abb84a8050e2fb4255f4dd553afc15c

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-05-18T15:56:30.602824Z digest=sha256:b548abe66c1a1de6a0836fe8470aeba6e41ff748605b3be7c57396d7c300feaf

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-15T16:34:31.388219Z digest=sha256:73e0a1938d204fc806541a9c29bae7df3c0947cb067c86b4818d467de35125ec

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-21T11:47:27.345223Z digest=sha256:1eeedd01fa896668d0120b2e9f2d8d8aa81ab11b97255a265a2db8e192eb8874

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-10T12:21:58.056762Z digest=sha256:a9f0abc6b819a77c9ef4fc31859bb908ea2032d812c3be6b6bae01812e2f18f1

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-12T04:47:04.868735Z digest=sha256:6e6c80ecbd15a9594bce1627ffd1674d87de016b0ec9f8a1ab049847b657876b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-05-13T06:20:42.781613Z digest=sha256:d07750c09e1adc0a7b864cc049d791e7c086b5ce4f0714ad53e5cf5b9341255b

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 2026-08-17T06:30:58.91139+00:00.

source=arxiv_source observed=2026-06-28T07:04:21.012269Z digest=sha256:8aa1d0785271f2bb71f415bd969f672537e1e9b462ac7c75db2c096af982fa55

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-06-27T01:31:53.550342Z digest=sha256:6bfae42c125aeb45705992f5cd2f8e06576fb17f3099e13e15adc9a4a30e4fa0