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Paper Citation Record · LEDGER

On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:1912.00018.

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

pith.paper-citation-record.v1
1912.00018 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:23:05.314264Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T20:13:58.888620Z

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 13d035c6-4109-4359-8599-e2fe27fa8e5d · inbound

Nonconvex Stochastic Optimization under Heavy-Tailed Noises: Optimal Convergence without Gradient Clipping cites this paper.

Nonconvex Stochastic Optimization under Heavy-Tailed Noises: Optimal Convergence without Gradient Clipping On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-11T00:23:05.314264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T00:23:05.314264Z digest=sha256:616be9973ebc28e3b1d12713daaaeadba8b5e2ca2749b5e9decd424cde712190

Observation c03ac2ed-81f4-4cef-8001-8964a1fe084f · inbound

Improving Adaptive Moment Optimization via Preconditioner Diagonalization cites this paper.

Improving Adaptive Moment Optimization via Preconditioner Diagonalization On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-08T12:40:42.523157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-08T12:40:42.523157Z digest=sha256:fada0024924debd70ce273450ce607206cad2c46cba5c6cc2af100368a4b1f05

Observation f1e1a26a-3720-4eab-98bc-efe85bfa65d0 · 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 On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-07T10:58:36.728931Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T10:58:36.728931Z digest=sha256:8d7e44803eade8f14af6ace198135c6a72ec92f9b3a962995a833bbc75878042

Observation 8cc6652f-41cd-4f1c-90d8-7b2e9c01dedd · inbound

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise cites this paper.

Nonconvex Decentralized Stochastic Bilevel Optimization under Heavy-Tailed Noise On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-04T16:23:21.855702Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T16:23:21.855702Z digest=sha256:b4bf1aa0053246445832550082c5106d48b2a02340306a52f74ae2e5c630df17

Observation 9992b30e-ae98-4c6d-a923-3310704429e8 · inbound

Convergence of Stochastic Gradient Descent with mini-batching and infinite variance cites this paper.

Convergence of Stochastic Gradient Descent with mini-batching and infinite variance On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-11T02:45:58.098225Z

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=2026-05-11T02:43:13.518353Z digest=sha256:1b874b03a8efbb09582daaf5373508d93ab0a5ee1791db1a53e849b750e0221d

Observation 38f37bd4-9a2a-4c8c-90a0-db1c9d5a1a3a · inbound

Statistical Inference for Stochastic Gradient Descent: Beyond Finite Variance cites this paper.

Statistical Inference for Stochastic Gradient Descent: Beyond Finite Variance On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

Reference 35

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T20:13:58.890159Z

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=2026-06-29T20:11:28.707205Z digest=sha256:302bd48e629df07b706babb97cafa7efca87f8d0d85d5b1639206692763cdcd6

Observation bc0893dc-d079-48ed-a590-6eb5e1361b4d · inbound

Statistical Inference for Stochastic Gradient Descent: Beyond Finite Variance cites this paper.

Statistical Inference for Stochastic Gradient Descent: Beyond Finite Variance On the Heavy-Tailed Theory of Stochastic Gradient Descent for Deep Neural Networks

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-03T00:56:17.858813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T00:56:17.858813Z digest=sha256:8e09ed81eeb927113bdf6294529d680cc70b83745869f9728453993e4303d643