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Paper Citation Record · LEDGER

On the Implicit Bias of Adam

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2309.00079.

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

pith.paper-citation-record.v1
2309.00079 v4

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 2026-08-21T06:32:19.484+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:18:22.514491Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T07:06:36.791400Z

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 5954805a-8ba4-47a8-92a0-f26812abb3d0 · inbound

Learning by solving differential equations cites this paper.

Learning by solving differential equations On the Implicit Bias of Adam

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T20:18:22.514491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T20:18:22.514491Z digest=sha256:a6a5c5b50e959d23c0e2ccdb70f67dad4d0e76f33b5fbac566b5b6f43c769493

Observation 514e274e-7f32-4e7e-8f2f-7b8658b0027b · inbound

The Implicit Bias of Steepest Descent with Mini-batch Stochastic Gradient cites this paper.

The Implicit Bias of Steepest Descent with Mini-batch Stochastic Gradient On the Implicit Bias of Adam

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-03T00:19:05.549126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:19:05.549126Z digest=sha256:3c1a5d3de861d74ff44b6711044d5ac9cdd43fbcdb2ce07d038c0a8100c5cec3

Observation 282c15a4-494c-4c14-8824-4d14803b3d99 · inbound

Optimizer-Induced Mode Connectivity: From AdamW to Muon cites this paper.

Optimizer-Induced Mode Connectivity: From AdamW to Muon On the Implicit Bias of Adam

Reference 164

Resolution
verified exact
arxiv_id, observed 2026-05-12T07:06:36.801637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=arxiv_source observed=2026-05-12T03:42:45.128171Z digest=sha256:cd86ff3e9571f34c2bb0649e9745fef220fd29cd43db62476ac7c2980b618f6b