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Paper Citation Record · LEDGER

Convergence of Steepest Descent and Adam under Non-Uniform Smoothness

As of 19 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 2 inbound Pith citation observations for arXiv:2605.30648.

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

pith.paper-citation-record.v1
2605.30648 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T08:19:12.076347Z

measured 9 of 9 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:46:01.024805Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T14:21:15.142758Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved5
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a61949ac-f803-4f48-b96b-46008fcb010d · outbound

This paper cites Bernstein, J., Wang, Y .-X., Azizzadenesheli, K., and Anand- kumar, A.

Convergence of Steepest Descent and Adam under Non-Uniform Smoothness Bernstein, J., Wang, Y .-X., Azizzadenesheli, K., and Anand- kumar, A

Reference 1

Resolution
unresolved
no resolver link, observed 2026-06-29T08:19:12.076347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T08:19:12.076347Z digest=sha256:66f760fd4cd2b5723ecb78144172e4ed88995aba7aaf1173ca2c16e4836d3c1b

Observation d2d089cb-e58d-4fa2-8d19-30d3af83bed7 · outbound

This paper cites Elementary Analysis of Policy Gradient Methods.

Convergence of Steepest Descent and Adam under Non-Uniform Smoothness Elementary Analysis of Policy Gradient Methods

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-06-29T08:23:15.212279Z

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=2026-06-29T08:19:12.076347Z digest=sha256:8288e94d209525c5dc8c27ada44b109cf6684908e294184c88ab070c469c48a3

Observation f147a6f8-8363-4c4c-bc7f-52fb162e2b88 · outbound

This paper cites However, unlike Thm.

Convergence of Steepest Descent and Adam under Non-Uniform Smoothness However, unlike Thm

Reference 3

Resolution
unresolved
no resolver link, observed 2026-06-29T08:19:12.076347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T08:19:12.076347Z digest=sha256:cb44215a68e351e2c4c42bf9fb893cebd6a303f1f1d27a48f987dda6ea1a33b9

Observation f273e4e6-d8e2-4a82-8d77-326728e4af6a · outbound

This paper cites 1 n * − nX i=1 exp(−yi⟨xi, θ⟩)yi xi, u +# ≥.

Convergence of Steepest Descent and Adam under Non-Uniform Smoothness 1 n * − nX i=1 exp(−yi⟨xi, θ⟩)yi xi, u +# ≥

Reference 4

Resolution
malformed identifier
no resolver link, observed 2026-06-29T08:19:12.076347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T08:19:12.076347Z digest=sha256:5a93e8074e14c61ddb09cbb8657695d68fb6d2b1e2103496d8f6f8b100bb07eb

Observation 0fae4399-66c0-4052-8ef6-3a40c74e9d60 · outbound

This paper cites an unresolved cited work.

Convergence of Steepest Descent and Adam under Non-Uniform Smoothness Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-06-29T08:19:12.076347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T08:19:12.076347Z digest=sha256:67d1dc8a5943d511de46e2612766eae7962db65f70842c87693da2b337481dee

Observation fbe2c4d6-1eb9-42f8-9ea2-08573d2c7da3 · outbound

This paper cites an unresolved cited work.

Convergence of Steepest Descent and Adam under Non-Uniform Smoothness Unresolved cited work

Reference 6

Resolution
unresolved
no resolver link, observed 2026-06-29T08:19:12.076347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T08:19:12.076347Z digest=sha256:b50749f7ed2ca3443f21c8c40d02c9134e2eb0e3690763e46850e71418045ea0

Observation 82bbb491-f720-439f-bb05-530ac9725408 · outbound

This paper cites an unresolved cited work.

Convergence of Steepest Descent and Adam under Non-Uniform Smoothness Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-06-29T08:19:12.076347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-06-29T08:19:12.076347Z digest=sha256:ecf5ef681b48b1cd066fe56a7c0c22e92566de6e615263f991d2be3c366f5aba

Pith citing papers

Observation b8c32449-7195-46de-bb2d-a52ef2528df6 · inbound

A Few Accelerated Algorithms for Convex Optimization under $(H_0,H_1)$-Smoothness cites this paper.

A Few Accelerated Algorithms for Convex Optimization under $(H_0,H_1)$-Smoothness Convergence of Steepest Descent and Adam under Non-Uniform Smoothness

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-15T14:46:01.024805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T14:46:01.024805Z digest=sha256:67cb28a6d6e6043e26efc5f79da068c03b8128d8f9fa2bf0b703c0859544a7c1

Observation ab03a82f-45f7-4cd2-b9c4-b0712dca37cc · inbound

Convergence Guarantees of Gradient Descent for Neural Networks via Generalized Lipschitz Smoothness cites this paper.

Convergence Guarantees of Gradient Descent for Neural Networks via Generalized Lipschitz Smoothness Convergence of Steepest Descent and Adam under Non-Uniform Smoothness

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:21:15.146914Z

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=2026-08-15T14:21:15.031082Z digest=sha256:b4b7ea8038ff459ba987fb34bea66e8140be513c928378ca285d0c46ca05833e