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Paper Citation Record · LEDGER

Directional convergence and alignment in deep learning

As of 6 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2006.06657.

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

pith.paper-citation-record.v1
2006.06657 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T23:19:41.129479Z

measured 0 of 1 external citation measurements

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

Source: cited_works

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 f8c6f5ff-bdb3-4257-a3a0-e0016c6a2478 · inbound

Adam symmetry theorem: characterization of the convergence of the stochastic Adam optimizer cites this paper.

Adam symmetry theorem: characterization of the convergence of the stochastic Adam optimizer Directional convergence and alignment in deep learning

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T23:19:41.129479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T23:19:41.129479Z digest=sha256:f3d78356b8bafe6fdc10a47b959c48daf4a99f495ae7143bbf5c2d1a8fbe2f1b