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Paper Citation Record · LEDGER

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian

As of 18 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2504.17193.

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

pith.paper-citation-record.v1
2504.17193 v2

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:00:53.969352Z

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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T05:24:49.270750Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T14:34:45.928501Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact0
  • verified fuzzy3
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b230e7af-14b0-47cd-858b-ea5ce7ef1bcc · outbound

This paper cites Allen-Zhu and Y.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian Allen-Zhu and Y

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:00:54.150782Z

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.

source=pdf_text observed=2026-08-16T11:00:53.918679Z digest=sha256:3a6c49e1e8169c68d942dcc11e43d8c34394ec64f188d7afdd50b84f8b9f5d41

Observation f86de697-9d5b-40f8-91d8-cf791bd10658 · outbound

This paper cites an unresolved cited work.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:00:54.116749Z

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.

source=pdf_text observed=2026-08-16T11:00:53.928824Z digest=sha256:ee3e6d72fc1598c529650d7fec1f6a15510bf7289af62ea8888fe49b7acd9201

Observation ee2bdd48-84a4-4b90-95a9-0f8ee3e8a7c5 · outbound

This paper cites Convex until proven guilty.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian Convex until proven guilty

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:00:54.101657Z

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.

source=pdf_text observed=2026-08-16T11:00:53.933358Z digest=sha256:8108f6ac06775959107ba5d1bbc4f5ea546fa695ac20e9344332260e3eb2d1df

Observation df731a66-17e6-4a0c-8e1f-28fdea5e2719 · outbound

This paper cites an unresolved cited work.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:00:54.086319Z

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.

source=pdf_text observed=2026-08-16T11:00:53.938277Z digest=sha256:27800553b20f89e8d88a3ad67d0eaad9344fa837c6fbeb6c54608626ed35f675

Observation b9666207-85c2-4754-8380-4ed579b87084 · outbound

This paper cites an unresolved cited work.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:00:54.071601Z

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.

source=pdf_text observed=2026-08-16T11:00:53.945218Z digest=sha256:c4dad8568716e93047a1a4e56258eae016db1381f15090b00c555e0768f992f6

Observation bfa012ad-b47e-46f5-a395-f32c0bc918c7 · outbound

This paper cites Li and Z.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian Li and Z

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T11:00:54.056258Z

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.

source=pdf_text observed=2026-08-16T11:00:53.949897Z digest=sha256:47d66a361449bb472aa565e8d1a9ccca3d4160bccb3a1be154daa39730a4bef5

Observation 03d753c6-e217-48a4-b5b4-aaab9e136dcd · outbound

This paper cites Marumo and A.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian Marumo and A

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T11:00:53.955013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:00:53.955013Z digest=sha256:80af89b94c168ffeec0f6397649b8c110fcaed68ea46c79ff72fc1fd99b9f994

Observation d5dbc7f4-8730-4761-9072-e26ac4c356a0 · outbound

This paper cites Marumo and A.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian Marumo and A

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-16T11:00:53.959715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:00:53.959715Z digest=sha256:c3797fef30bbb80db617c2fee7a46270c5980523832884df4eda4dd142443944

Observation d048408b-cfda-4685-b023-8112d3292efc · outbound

This paper cites A simple proof of the Baillon-Haddad theorem on open subsets of Hilbert spaces.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian A simple proof of the Baillon-Haddad theorem on open subsets of Hilbert spaces

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-16T11:00:53.964358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:00:53.964358Z digest=sha256:991210711d4386a2521ac266a37541a5de05a9a98125043503dd2c72816e83f0

Observation 44e23ab2-f5a9-4b59-a54e-17f8c3ce337c · outbound

This paper cites NEON+: Accelerated Gradient Methods for Extracting Negative Curvature for Non-Convex Optimization.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian NEON+: Accelerated Gradient Methods for Extracting Negative Curvature for Non-Convex Optimization

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-16T11:00:53.969352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:00:53.969352Z digest=sha256:7702556e5f1dd8e5ad7adf9cee89f8e5cc61bff72a37287229fb223499eb5e2a

Observation 5b05de8b-8411-4122-9cb8-b80df4c73198 · outbound

This paper cites an unresolved cited work.

On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian Unresolved cited work

Reference 2018

Resolution
unresolved
raw_fallback, observed 2026-08-16T11:00:54.133808Z

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.

source=pdf_text observed=2026-08-16T11:00:53.924081Z digest=sha256:eca1805ff5539eaadb7b0615babd182cc87eaad969f52fa23dc4ef6eca0f5f7f

Pith citing papers

Observation 98d01584-4586-40d0-8c9f-4d5ed0994f6e · inbound

A Restart-Free Accelerated Algorithm for Non-Convex Minimization: Continuous and Discrete Analysis cites this paper.

A Restart-Free Accelerated Algorithm for Non-Convex Minimization: Continuous and Discrete Analysis On the equivalence of a Hessian-free inequality and Lipschitz continuous Hessian

Reference 64

Resolution
verified exact
arxiv_id, observed 2026-06-30T14:34:45.930287Z

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.

source=pdf_text observed=2026-06-30T05:24:49.270750Z digest=sha256:025b35ed73ee2190015aa966f294b52f4866bbc793d34dfc8add28a32980bd55