Paper Citation Record · LEDGER

On the boundedness of the sequence generated by minibatch stochastic gradient descent

As of 19 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2506.23303.

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

pith.paper-citation-record.v1
2506.23303 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:57:26.642527Z

measured 11 of 11 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

verified exact1
verified fuzzy7
unresolved2
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5dc13ba6-087d-4f4d-8adc-6d103ac15770 · outbound

This paper cites Bauschke and P .L.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Bauschke and P .L

Reference 1

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T21:57:28.332721Z

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.

Observation 1c3d64f8-ff64-4323-91af-83d77c03c0d9 · outbound

This paper cites Bauschke and T.T.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Bauschke and T.T

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:57:28.158129Z

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.

Observation b6f91d1a-ead4-4f91-ac5a-79c9c7ec9aab · outbound

This paper cites Beck: First-Order Methods in Optimization , SIAM, 2017.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Beck: First-Order Methods in Optimization , SIAM, 2017

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:57:27.978546Z

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.

Observation c83fa58f-1b40-4880-9a46-d9968230f755 · outbound

This paper cites Bertsekas: Nonlinear Programming, 3rd edition, Athena Scientific, 2016.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Bertsekas: Nonlinear Programming, 3rd edition, Athena Scientific, 2016

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:57:27.804544Z

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.

Observation b2449ce3-0f05-40e2-8874-1415fc310549 · outbound

This paper cites Handbook of Convergence Theorems for (Stochastic) Gradient Methods.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Handbook of Convergence Theorems for (Stochastic) Gradient Methods

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T21:57:26.261239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d3273e9d-d892-472e-9e9c-1bdc0338acdc · outbound

This paper cites Loss Landscape Characterization of Neural Networks without Over-Parametrization.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Loss Landscape Characterization of Neural Networks without Over-Parametrization

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:57:26.824805Z

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.

Observation fcf77990-4fe3-41a8-bace-6d6814f0063e · outbound

This paper cites Jiang and S.U.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Jiang and S.U

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:57:27.641336Z

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.

Observation 35b3e681-1345-406b-a7b2-acde8af1fa91 · outbound

This paper cites Loizou, S.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Loizou, S

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:57:27.438492Z

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.

Observation 2aba48ca-e6f4-4211-ba77-21d869ff7a47 · outbound

This paper cites Stochastic Polyak Step-sizes and Momentum: Convergence Guarantees and Practical Performance.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Stochastic Polyak Step-sizes and Momentum: Convergence Guarantees and Practical Performance

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T21:57:26.485779Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8b22434-2358-445f-964f-6008a9982aca · outbound

This paper cites Orvieto, S.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Orvieto, S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:57:27.208931Z

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.

Observation 17023a9f-966e-40cf-ba57-0974c2d43136 · outbound

This paper cites Rockafellar: Convex Analysis, Princeton University Press, 1970.

On the boundedness of the sequence generated by minibatch stochastic gradient descent Rockafellar: Convex Analysis, Princeton University Press, 1970

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:57:26.994293Z

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.

Pith citing papers

No inbound Pith citation observations are available.