{"as_of":"2026-08-08T08:50:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8fcaf5d44c22f0c27b80d8b53433621f58e2ecf0c506c0c430e29e43706592a1","coverage":[{"denominator":53,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":53,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-28T13:35:29.570071Z","state":"measured"},{"denominator":53,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":53,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2606.01998/citation-record","integrity":"/paper/2606.01998/integrity","json":"/paper/2606.01998/citation-record.json","paper":"/paper/2606.01998"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:a41bb5b5bbbd666596aaafef123a252f1f9499438560b4018f568ff64346445e","observation_id":"7085b3b4-2f82-4753-8b68-cf1df57c92c8","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:a00f32a4588bc5c207dc0658467b7472bea4f050f5fbe755352ae305a95e41fc","observation_id":"07ef3e6b-1eaa-4e91-ad8e-67ee9b1a2a95","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Birkh¨ auser Boston Inc., Boston, MA (1990)","venue":null,"work_id":null,"year":1990},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:873cef62fee5cf244e529b84942170e514f8dbfdc0a6050e97207912bf2188a8","observation_id":"36e3dded-43fe-4d02-b5d4-b40af5b9c0d2","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":1984},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:c16dd80385c7877bb2153b5db66702b823438c7520884130e465f606d4a0c6dd","observation_id":"6c4f3471-f4a9-4a9e-9c62-a9e755c610c5","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:f106edf3bff83238bf616af95261dd2f0e87bf150405addeb37fedb678a19699","observation_id":"9c7680db-1ced-4beb-b627-5d1c26fe241e","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:e2de9bd9c325f558f6b1b343b6ab16495753737b50d6883ae55294e53191bcc2","observation_id":"22607382-61ef-421a-87bd-4d2a99bb2684","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Set-Valued Var","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:902f1e6ef97060283605296e573e485248ea5f8fa15c8f2b008422b977942d0f","observation_id":"50956338-3aad-49cf-a6e3-2440a463b9f3","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:984218264d1a9020d7b6da39b76d2219b963d558e182ff650fc0502f11e19d5b","observation_id":"cc960e68-295e-4158-a93e-dccac52b3d4f","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Springer, Berlin (2000)","venue":null,"work_id":null,"year":2000},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:70ae4f9ca1b97f2e70a2a638f759bf040f2c4d021cb53546438423773172798c","observation_id":"2e9b422d-1020-446f-b27e-f05a61efe2dd","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Methods Appl","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:a0bbeb5ef0d94e209e9e87a798ffe130c4487db05c99b7e2734f44990c0fb0c4","observation_id":"7b3822f7-be5a-4ed0-b47c-22e86b0e02f9","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Springer, New York (2005)","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:9fd169abe99bfb2eb52c6fc2d20d1a2a7350c2161b896080329d706c23a54176","observation_id":"f7d8fdc6-ea52-42f5-ada3-f880ef208f02","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:703ebb5c4d66ff80e3eec780b8c0656cda2da3718fbecb1f496e80276c632909","observation_id":"17075557-f2f2-461a-a2cc-c712bd0738fa","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:490797c5ff0bf542cb74daa2c4c58d5ea2113b0d2fce8672230aec8ba13fb5de","observation_id":"3c1c7cf2-45a1-4cd2-8b3f-f5f7a69ee9bd","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"IEEE Trans","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:909b06ea410deb43ebb3795dc04c03b0b13080e62c06918a92c54e887c3f3f66","observation_id":"54ce7daa-edec-4e5f-94d8-bec317d4e554","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:986c90ebcc5d66ecdcb74043e50dac3c6382751a89515ec7fe1a3318127e47da","observation_id":"19078cef-41d3-4fc0-90a7-7c112d9d964e","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Yao, J.C.: Second-order optimality conditions for sparse optimization via Fr´ echet second-order subdifferential","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:27de3cb6173a004a231d3d9f490e883a1dd087fa255f4fc2b727e0adaabb4560","observation_id":"56654e48-31c6-4b48-bb81-b0540d1f1473","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:e05b1c8bf5d2ae359ca730038f5aa3460fea70f29f7b200d4de1922b596dea65","observation_id":"5a65af47-f4db-4ac3-b9e6-89ca60922aa6","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"IEEE Trans","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:33fc54551cad99635207139e71cc15b6d51ad5bda9fe7361552d01836588dc65","observation_id":"31d463c6-dfd8-452b-bfe8-05fb59decf57","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Appl Anal","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:872f0a2044a17728bb0521e00e9e4b1034e0aeab947b56b168db0a2630482ecd","observation_id":"c3999957-07e3-4db8-a110-9cbcc558e54e","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Set-Valued Anal","venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:30cd03b73f432708633eb6bf1e17c698cd3912e3dfac0e0fe9eda4625c6b7028","observation_id":"2aa6732b-b8d6-4f74-bb2d-9096f21eef21","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2014},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:07e192c901d3395147c4480d1049e029aff4cd3edcfc783328c7ea2d69df4b60","observation_id":"a73b2a0a-cf45-4a51-a752-90fe8959c27d","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Springer, Berlin (2009)","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:bc0da6ae096ea118d5d9863e906a011864cfb3de61fb659e02ab511c80df736c","observation_id":"56b41c40-30c5-4c40-98bb-830c4b3d180f","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:572ad0fcbd570dc83eefef2e6c8c1bdf6be1c4282f7899ad6cc41d13244c8f63","observation_id":"a46d9c60-d85b-4ac4-937c-fe574bb7a078","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2016},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:2d708ed65bc735d6b7be155a5089a7822b79baf3c58d9896d0c5918f6c1ab019","observation_id":"334f0438-530a-4f9a-a57b-ec9831e96962","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:11a196f600c986acae7b8fe77d75ef7aabcd852bac5cbc238a352d35ee36c3fc","observation_id":"6ab42fdb-2b35-4855-a8ca-3f1f9f2498ed","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:003f498e504506568047fc5af049b1bdb24f3e0eb59bf2d5933d74c273e95f2c","observation_id":"78b40e6d-d834-4da5-8682-5fd3e45cf1f3","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:15033bbe5e6ae5d607c958cc37e058525d536d41541513c30a04b2704d433362","observation_id":"38c4a1bc-56fd-4601-8198-a6fb12d30819","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"An Introduction with Applications, Vector Optimization, Springer, Heidelberg (2015)","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:c5de8c71e66096e7cf727901e860f1da57384a4cf5df7521d193e433a9ba5900","observation_id":"fc742135-e725-4dfd-8c40-5a782ee12f43","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2007},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:5162b7b951cc4e8ff7e380f7cabbb59e80f114cfff047cec87989280d571f05a","observation_id":"3fc84aca-2efa-4205-95e4-95ea8b1159ff","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2025},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:e4e49d7503ac35892c3374b610d9ee0db59dcc42f7231d71b19b417482af40f3","observation_id":"a763b29a-05fa-435d-b4e0-3b16853ef2a6","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:5ab7003639db3dd77b5f207749cb1e18b7dc1d73688a164a7b554a104f79aa6b","observation_id":"2b8446e1-fc51-42c7-9478-28569d03d5db","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:2336ee0dc93cb385726e36598881cd070dcdf1485fe8afc2b3b674c4dab9aee0","observation_id":"1b9bf305-da10-4ec7-b66a-89cd78312d4f","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1509.08581","last_updated":"2015-11-29T18:47:57Z","snapshot_observed_at":"2026-07-06T04:31:21.604999Z","submitted_at":"2015-09-29T03:39:01Z","title":"Optimization over Sparse Symmetric Sets via a Nonmonotone Projected Gradient Method","version":3},"cited_work":{"arxiv_id":"1509.08581","doi":null,"metadata_source":"pith","pith_arxiv_id":"1509.08581","snapshot_observed_at":"2026-07-02T00:06:24.592679Z","title":"Optimization over Sparse Symmetric Sets via a Nonmonotone Projected Gradient Method","venue":"math.OC","work_id":"e09506bf-ec7d-469f-b079-1aaf1ac5a3b6","year":2015},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"cited_paper":"/paper/1509.08581","citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:8d6d9ac27e22464fe549ae825d09bae1d2e61aba90c5298b70d9b98fd36bbe7a","observation_id":"6e7325b0-9a8d-4783-b174-bad6f854c4a7","resolution":{"observed_at":"2026-07-02T00:06:24.595892Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:f9c74d7b149402108623ae84bdc900a434d0241bfe00ed3b24b5fed4f93e9929","observation_id":"a05b075c-aec2-46d8-b2f3-03e023956fac","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Springer, Berlin (2006)","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:cf5c36fc1a2966223de5639cf11d3a786777cbc9246e6a02c4c17c4bbbe70ecb","observation_id":"cea8989c-cc15-46c2-a412-12d1f9b256e3","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Springer, New York (2018)","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:a510c030746f2fb6e50b0fd4d032c786b0686ecb8059b0b687cb489c2c2dc46c","observation_id":"fcb9b1ef-28b0-4945-8196-5479fb20a839","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Algorithms, Applications, Springer, Cham, Switzerland (2024)","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:ae4de50ff932ae9f78faef3a5bcd7f2f6c5dbb16abdc739bdac708c9b3dd61ff","observation_id":"a562eed1-2729-4440-987c-5aefee0eca2f","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:d6dd8c9c4d382000b20d0f7dec4b293384200f32b436dd98c8620a8e1113502e","observation_id":"3b6ce7d2-0abf-4eb5-8185-dd7807d0292d","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:6c47b128f7cc319ebcaf5a7a0db86fb2765b3e8e42030157c779f6c486788afb","observation_id":"37bae705-aa7b-40fb-a784-124d38493c98","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Optimization 71, 2979–3005 (2022) Second-order optimality conditions for sparse differentiable optimization 25","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:f0d04781a9508c53d3f9355802daaa64e3ba1ffd00f98568e6ef01958df87dbf","observation_id":"f49a20d5-a1e2-45a8-81d7-bc98d6c82021","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:afdb61d6edac5ba066d4fe817791763dd8c596f35b9ace62e8e07a6cc311cdac","observation_id":"e5ff3d0c-4151-43e3-a75b-a8e5da1b23c2","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:738ba98994d4b52c91f0522bd1d386e46ab73f0a3a224ab5adc9dece61e8d874","observation_id":"33019f44-c353-4b38-8364-9cf53f2a620e","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:126c72c6ca0704a9d2b7f8708c18007173dc68dab2381fae4871650d706f335f","observation_id":"4b6da630-a353-42f2-adbc-dc0095109ee4","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:2506784d05e7775f7c5a3695a8779aac3fbadaab32b4d9fdf1cb99cf1a8527f0","observation_id":"bf3d5d47-0b7b-4db4-9081-d1403e5a55c4","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Princeton University Press, Princeton (1970)","venue":null,"work_id":null,"year":1970},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:c8f9e54d38b2cb26cb57345556abb1e2004121d0b59e91847cd9b321c5c44490","observation_id":"1a3fbae1-86ba-45cb-85ba-54f3efe99e29","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Springer, Berlin (1998)","venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:9328fdd653e13fdf160e2850298bb52e3ad1f172ad8f39988a8ff22a002781cb","observation_id":"afaf6933-6ee3-44a0-a06d-02c9c684ec31","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"International Series in Pure and Applied Mathematics","venue":null,"work_id":null,"year":1976},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:b16fedfa75317da6e57dafa170bb60a0c20752725781f3bdbc886cc92dc0d4c1","observation_id":"2340323a-5dce-4077-a7b2-1ffb097d9f24","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":1996},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:ed922e4de6475bdc4aaa941622f602daa6d7a682c870d3f2287bf579b61d9094","observation_id":"c351ad84-63b7-4331-b330-83a4344ba6b5","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"SIAM Rev","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:76a01ea279966537b9745e1e1d4abc94b3d9b4439294bb660fbcc703220add84","observation_id":"f0ea506f-e894-41a8-9ac3-fde1a6f002b7","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:871eb37f8b47bc60cfe86d285d57b35b87b3a456e4a72a4d00d8ae5f630f0087","observation_id":"b99455cb-c8f6-41d2-8f40-e34ee5410e50","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:563f29c9c2249d821c134d545fbda09a120eaeb13ff58d1f64015f41c0f441b4","observation_id":"9192ea0e-5b04-411b-a314-8be65b542546","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":"Set-Valued Var","venue":null,"work_id":null,"year":2023},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:0f6e0da83e4d8c9af8958762cfdf4fd0a72b90014b35fd5f774a2bac7c88deb8","observation_id":"42265de3-0348-44a2-9cc6-627323732b88","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-06-28T13:35:29.570071Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-06-28T13:35:29.570071Z"},"links":{"citing_paper":"/paper/2606.01998"},"observation_digest":"sha256:d9444aaab6336d3a440a62b2e7f1812b0aa8ffe7853ca18d4ad327d1bd5e9849","observation_id":"041a4115-7f28-4c6a-bfa6-01e1d128f00a","resolution":{"observed_at":"2026-06-28T13:35:29.570071Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"paper":{"arxiv_id":"2606.01998","last_updated":"2026-06-01T09:55:02Z","latest_version":1,"primary_category":"math.OC","snapshot_observed_at":"2026-08-01T16:20:21.314600Z","submitted_at":"2026-06-01T09:55:02Z","title":"Second-Order Optimality Conditions for Sparse Differentiable Optimization Problems via Limiting Second-Order Subdifferentials"},"reference_resolution":{"displayed":53,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":52,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":53},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2606.01998."}