Paper Citation Record · LEDGER

Type-II Saddles and Probabilistic Stability of Stochastic Gradient Descent

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2303.13093.

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

pith.paper-citation-record.v1
2303.13093 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T12:04:05.161574Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-10T11:20:10.157572Z

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 20fef001-8622-46aa-9d73-ef0ad1fe1927 · inbound

Deep Weight Factorization: Sparse Learning Through the Lens of Artificial Symmetries cites this paper.

Deep Weight Factorization: Sparse Learning Through the Lens of Artificial Symmetries Type-II Saddles and Probabilistic Stability of Stochastic Gradient Descent

Reference 94

Resolution: unresolved; no resolver link, observed 2026-08-09T12:04:05.161574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43346d91-21fb-47b7-8aa3-865fe5e2953e · inbound

On the Stability of Nonlinear Dynamics in GD and SGD: Beyond Quadratic Potentials cites this paper.

On the Stability of Nonlinear Dynamics in GD and SGD: Beyond Quadratic Potentials Type-II Saddles and Probabilistic Stability of Stochastic Gradient Descent

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-02T23:10:24.831245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e417cf61-2390-4b43-ab83-7a364b08e8ab · inbound

Zeroth-Order Optimization at the Edge of Stability cites this paper.

Zeroth-Order Optimization at the Edge of Stability Type-II Saddles and Probabilistic Stability of Stochastic Gradient Descent

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:20:10.160261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 998d4258-d338-4cbd-90e9-4c2efe2e99d3 · inbound

Zeroth-Order Optimization at the Edge of Stability cites this paper.

Zeroth-Order Optimization at the Edge of Stability Type-II Saddles and Probabilistic Stability of Stochastic Gradient Descent

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T20:06:39.488359Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.