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Paper Citation Record · LEDGER

Understanding Gradient Descent through the Training Jacobian

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2412.07003.

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

pith.paper-citation-record.v1
2412.07003 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 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:44:07.293871Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T22:32:02.368901Z

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 b208e11a-430b-4ff3-84dd-8ee5334fed97 · inbound

Random weights of DNNs and emergence of fixed points cites this paper.

Random weights of DNNs and emergence of fixed points Understanding Gradient Descent through the Training Jacobian

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-10T21:44:07.293871Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T21:44:07.293871Z digest=sha256:ce91eee8217812877b2bd0efb0e3dad8c179779044b2e94ac3e6a089fa0ae196

Observation b12266b4-f9ac-416e-a06b-1a4cfac411fe · inbound

Estimating the Probability of Sampling a Trained Neural Network at Random cites this paper.

Estimating the Probability of Sampling a Trained Neural Network at Random Understanding Gradient Descent through the Training Jacobian

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-09T22:32:02.373698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-08-09T22:32:02.228569Z digest=sha256:77adc1309d6a8ac5f18571c00489353073c83b90213d35dca9601c9e47b27823