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Paper Citation Record · LEDGER

Adam Can Converge Without Any Modification On Update Rules

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 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 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:05:43.655554Z

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 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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T13:29:08.750421Z digest=sha256:7d1638b135c5ab94a10e4c8dfb00cd94a9f6abd9945242ccf6c88e39f34b1b19

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.

source=arxiv_source observed=2026-07-11T20:46:05.467029Z digest=sha256:1bfbdc3fab54d998d2ab781a227f23049d68c615d5f28f7e09ba72a08bac560c

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.

source=arxiv_source observed=2026-08-06T21:05:43.655554Z digest=sha256:28ff01d244491e9a271144d7f32156afef05d6575629c6f6d128f0957b05ebe1