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Paper Citation Record · LEDGER

Distributed Training with Heterogeneous Data: Bridging Median- and Mean-Based Algorithms

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:1906.01736.

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

pith.paper-citation-record.v1
1906.01736 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:58:29.381693Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:58:40.528551Z

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 1ee81d1d-223a-42b7-95dd-c1fa596fc56b · inbound

Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise cites this paper.

Lions and Muons: Optimization via Stochastic Frank-Wolfe under Heavy-Tailed Noise Distributed Training with Heterogeneous Data: Bridging Median- and Mean-Based Algorithms

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:58:40.657167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-07T10:58:29.381693Z digest=sha256:ce7b0997173777018fd6bfa183e6eba79d320d03463685bf4f65c604fd5ab8a2

Observation 1d94e816-35fa-4d40-bebc-d4ce39ee27d5 · inbound

Sign compression for Muon: SignMuon, MuonSign, and the Limits of Error Feedback cites this paper.

Sign compression for Muon: SignMuon, MuonSign, and the Limits of Error Feedback Distributed Training with Heterogeneous Data: Bridging Median- and Mean-Based Algorithms

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-03T02:09:01.711858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:09:01.711858Z digest=sha256:bb0db22bfe9a141eb5ff1407e25cbda6fab44ca43d3109600470e307d78e17bf