Paper Citation Record · LEDGER

On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:1807.05031.

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

pith.paper-citation-record.v1
1807.05031 v6

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 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 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:23:19.643754Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T02:56:29.468173Z

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 0087e908-23c5-44ac-a8b3-93abc4034f77 · inbound

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization cites this paper.

Hessian based analysis of SGD for Deep Nets: Dynamics and Generalization On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-24T16:44:41.724572Z

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.

Observation 36797494-6ff9-4d58-837a-c079faaa5f92 · inbound

LCA: Loss Change Allocation for Neural Network Training cites this paper.

LCA: Loss Change Allocation for Neural Network Training On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T05:23:19.643754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dada0168-0b49-4ca0-aed8-09e17014edcc · inbound

Scaling Laws for Transfer cites this paper.

Scaling Laws for Transfer On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 87

Resolution: verified exact; arxiv_id, observed 2026-05-18T00:58:13.744035Z

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.

Observation 70287fc8-3876-4220-bf22-4a8dc48696c5 · inbound

A General Language Assistant as a Laboratory for Alignment cites this paper.

A General Language Assistant as a Laboratory for Alignment On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 118

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:22:59.425947Z

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.

Observation 6c057371-d9f7-46aa-b405-da4300b87e67 · inbound

Language Models (Mostly) Know What They Know cites this paper.

Language Models (Mostly) Know What They Know On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 176

Resolution: verified exact; arxiv_id, observed 2026-05-10T15:42:47.853804Z

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.

Observation ed0624f9-47bd-4957-83c6-50a81f27ee8c · inbound

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability cites this paper.

Momentum Further Constrains Sharpness at the Edge of Stochastic Stability On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-10T13:20:26.371589Z

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.

Observation 3e9f81de-bbf1-4167-95cc-2d6c7de7c869 · inbound

Does Weight Decay Enhance Training Stability? cites this paper.

Does Weight Decay Enhance Training Stability? On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-20T19:53:42.911431Z

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.

Observation f9ba585e-41e4-4073-9410-851442d534f7 · inbound

Why SGD is not Brownian Motion: A New Perspective on Stochastic Dynamics cites this paper.

Why SGD is not Brownian Motion: A New Perspective on Stochastic Dynamics On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 222

Resolution: verified exact; arxiv_id, observed 2026-05-22T08:11:17.347201Z

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.

Observation 4d17ed98-7e78-442f-bd7d-ec2d675c4a33 · inbound

Edge of Stability Selectively Shapes Learning Across the Data Distribution cites this paper.

Edge of Stability Selectively Shapes Learning Across the Data Distribution On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-02T02:56:29.470043Z

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.

Observation f8e4744b-57fd-4b2c-8c84-6ed6ece1519f · inbound

Characterizing Optimizer-Dependent Training Dynamics Through Hessian Eigenvector Displacement and Localization cites this paper.

Characterizing Optimizer-Dependent Training Dynamics Through Hessian Eigenvector Displacement and Localization On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-06-30T07:54:21.737636Z

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.

Observation fdec7626-9c7a-41a8-ab6a-4a9f23ebe551 · inbound

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay cites this paper.

Weight-norm Criticality: A Mechanism for Loss Spikes Induced by the Normalization and Weight Decay On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T08:50:41.633722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0a006b5-a908-465b-b15d-eb7e0fae38f8 · inbound

A Defense of the Quadratic Model cites this paper.

A Defense of the Quadratic Model On the Relation Between the Sharpest Directions of DNN Loss and the SGD Step Length

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-01T06:58:09.487479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.