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Paper Citation Record · LEDGER

Momentum-Based Variance Reduction in Non-Convex SGD

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1905.10018.

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

pith.paper-citation-record.v1
1905.10018 v3

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 2026-08-19T06:32:44.657259+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T01:58:55.383616Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T15:56:34.071054Z

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 dac91783-9c5a-40ef-81e4-63a846540a41 · inbound

On the Convergence of Muon and Beyond cites this paper.

On the Convergence of Muon and Beyond Momentum-Based Variance Reduction in Non-Convex SGD

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-18T15:56:34.076085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-05-18T15:56:30.602824Z digest=sha256:c69ed49d5fa0fc11a37c557637cf197ec60162b7f9f980dda074232c6de9b9e1

Observation 78c935a0-92df-4b69-8b42-2734976bf176 · inbound

MuonEq: Balancing Before Orthogonalization with Lightweight Equilibration cites this paper.

MuonEq: Balancing Before Orthogonalization with Lightweight Equilibration Momentum-Based Variance Reduction in Non-Convex SGD

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-05-14T21:12:58.523366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-05-14T21:12:32.579136Z digest=sha256:22c5badbac5acafa709b1c2fad89809e08a8535239376c8b1ebb0674348c43b6

Observation 77855437-811a-45bc-a879-1a1718058ae8 · inbound

Muse: Representation Geometry of Muon Beyond Normalized Momentum cites this paper.

Muse: Representation Geometry of Muon Beyond Normalized Momentum Momentum-Based Variance Reduction in Non-Convex SGD

Reference 2020

Resolution
unresolved
no resolver link, observed 2026-08-02T01:58:55.383616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T01:58:55.383616Z digest=sha256:68ccd7ea4f95fd274219c018b5587ab0e67665ab4d118cd621e73a7440cf15bb