Paper Citation Record · LEDGER

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization

As of 9 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2507.09522.

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

pith.paper-citation-record.v1
2507.09522 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:08:50.190289Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:20:46.560989Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T17:20:47.656924Z

Reference resolution

26 of 26 outbound references displayed

verified exact0
verified fuzzy7
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation db092f51-2dfe-47de-8ac7-c553c3480925 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:54.542191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e23ef72e-4296-417c-967a-ac764c0c7b70 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:54.444424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5acabe80-73c3-4158-bf8d-67380969a47e · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:54.364380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 8c0c4507-38af-4d80-a909-2ab6d754d107 · outbound

This paper cites Gfrerer,On second-order variational analysis of variational convexity of prox-regular functions, Set-Valued Var.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Gfrerer,On second-order variational analysis of variational convexity of prox-regular functions, Set-Valued Var

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T18:08:43.538210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e1fe11f-3742-43fd-9188-d55586f3f99b · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:54.263448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bfec33de-e4f0-4e27-b8e2-345984a259ba · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:54.155042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 87429f0f-908c-488e-8271-efb9cb81fd94 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T18:08:46.038080Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a58609f7-d188-47bd-80c5-c04c4d5c41b0 · outbound

This paper cites Characterizations of Variational Convexity and Tilt Stability via Quadratic Bundles.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Characterizations of Variational Convexity and Tilt Stability via Quadratic Bundles

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T18:08:46.588068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46e4fe34-0d41-4b4a-a3a8-4c6a1c3b58f9 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:54.006037Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b635d0c9-c667-48f9-919a-b914693bc1d6 · outbound

This paper cites Mohammadi, B.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Mohammadi, B

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:53.812174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d1e281cb-1939-4c8e-8dd5-b06b18e81292 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:53.636618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6a379db1-06bc-40da-907b-5a461dc25f3e · outbound

This paper cites Mohammadi and M.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Mohammadi and M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:53.388625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3e1ffe46-1cd1-4fc6-b9f6-502137c975ec · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:53.242006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 61930f7a-06d3-44c1-bfa2-20cba02611f4 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:53.055586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e626aefc-0e21-4271-a5d8-2c587d73ff81 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:52.949794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ac6ed8b8-dfd5-426c-9468-c3d9ad324857 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:52.710887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 08ed2b84-2c2c-4a07-8f9c-fd23be8413d9 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:52.622106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 27f113bd-6e35-4953-8a36-d929efe9a6dc · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:52.516493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 447e40b8-c252-40ae-b821-9d095585aa77 · outbound

This paper cites Anal.27(2019), 863–893.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Anal.27(2019), 863–893

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:52.366031Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3d0629f0-d7b8-4835-a168-9e656cde37bb · outbound

This paper cites Math.47(2019), 547–561.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Math.47(2019), 547–561

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:52.037530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d1504436-32a7-4d14-947f-7830348b239e · outbound

This paper cites Program.199(2022), 375–420.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Program.199(2022), 375–420

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:51.710869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d95b6a21-bf6f-4d12-99ab-53e2ed3ab8cc · outbound

This paper cites Program.198(2023), 159–194.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Program.198(2023), 159–194

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:51.305963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0904c994-4c9b-491e-9798-bb0fe091d006 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:51.017638Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 393b1920-26d9-4e77-94c6-75f40f06348e · outbound

This paper cites Sun,The strong second order sufficient condition and constraint nondegeneracy in non- linear semidefinite programming and their applications, Math.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Sun,The strong second order sufficient condition and constraint nondegeneracy in non- linear semidefinite programming and their applications, Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:08:50.825389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e73868de-d4f7-4d67-b41d-88e48551b091 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T18:08:50.078335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 67c16ec4-1070-47c7-a8a5-8f1bfe210f30 · outbound

This paper cites an unresolved cited work.

Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:08:50.637374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

Observation bd4c06c9-fa25-44f2-b6a1-4f5cfefadc83 · inbound

Second-Order Characterizations of Tilt Stability in Composite Optimization cites this paper.

Second-Order Characterizations of Tilt Stability in Composite Optimization Characterizations of Strong Variational Sufficiency in General Models of Composite Optimization

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:21:30.924701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.