Paper Citation Record · LEDGER

Adam Can Converge Without Any Modification On Update Rules

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2208.09632.

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

pith.paper-citation-record.v1
2208.09632 v5

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T06:04:09.786051Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T07:29:38.375717Z

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 55a86273-5bdb-45fa-b649-7a7b9dfb5551 · inbound

Sharp higher order convergence rates for the Adam optimizer cites this paper.

Sharp higher order convergence rates for the Adam optimizer Adam Can Converge Without Any Modification On Update Rules

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T06:04:09.786051Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61092b32-2d0a-49ac-acd2-78eeaa7f9490 · inbound

Central limit theorem for the averaged Adam optimizer cites this paper.

Central limit theorem for the averaged Adam optimizer Adam Can Converge Without Any Modification On Update Rules

Reference 36

Resolution: verified exact; arxiv_id, observed 2026-07-04T07:29:38.377173Z

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.

Observation d1e1cece-5ab0-4496-91c4-0287d38db605 · inbound

Unified convergence analysis for gradient descent optimization methods in the training of deep neural networks cites this paper.

Unified convergence analysis for gradient descent optimization methods in the training of deep neural networks Adam Can Converge Without Any Modification On Update Rules

Reference 69

Resolution: unresolved; no resolver link, observed 2026-07-11T20:46:05.467029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 916294df-843c-4430-9434-fcfc2c38a0e0 · inbound

On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations cites this paper.

On MUON optimization: From non-convergence to an error analysis with Polar Express and the Newton-Schulz polynomial from implementations Adam Can Converge Without Any Modification On Update Rules

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-06T21:05:43.655554Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.