{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:4RGVFRCG2REYRTG4VITVIQ4HQ7","short_pith_number":"pith:4RGVFRCG","schema_version":"1.0","canonical_sha256":"e44d52c446d44988ccdcaa2754438787e4e3f804423d82cf5ec43ca9328fe437","source":{"kind":"arxiv","id":"2010.01009","version":3},"attestation_state":"computed","paper":{"title":"Generalized Self-Concordant Analysis of Frank-Wolfe algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Kamil Safin, Mathias Staudigl, Pavel Dvurechensky, Shimrit Shtern","submitted_at":"2020-10-02T14:01:27Z","abstract_excerpt":"Projection-free optimization via different variants of the Frank-Wolfe (FW) method has become one of the cornerstones in large scale optimization for machine learning and computational statistics. Numerous applications within these fields involve the minimization of functions with self-concordance like properties. Such generalized self-concordant (GSC) functions do not necessarily feature a Lipschitz continuous gradient, nor are they strongly convex. Indeed, in a number of applications, e.g. inverse covariance estimation or distance-weighted discrimination problems in support vector machines, "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2010.01009","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2020-10-02T14:01:27Z","cross_cats_sorted":[],"title_canon_sha256":"d26e70be0cf8957ba0a9a3317c75b04621ad411b4629c4a96eb3524298596a63","abstract_canon_sha256":"361f87b8060c2b934e23c55253f2387385c0d01ceffb13ed4c4109166c7a71cd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:02:09.046415Z","signature_b64":"cWKKg7Az+i6sAw1J+4WJ9PNsnEHU0MrSELRWjymP4O16nuT43212AUbTATVhLmJEgsBW/zO8GfM3aECp5FpKAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e44d52c446d44988ccdcaa2754438787e4e3f804423d82cf5ec43ca9328fe437","last_reissued_at":"2026-07-05T03:02:09.045940Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:02:09.045940Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized Self-Concordant Analysis of Frank-Wolfe algorithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Kamil Safin, Mathias Staudigl, Pavel Dvurechensky, Shimrit Shtern","submitted_at":"2020-10-02T14:01:27Z","abstract_excerpt":"Projection-free optimization via different variants of the Frank-Wolfe (FW) method has become one of the cornerstones in large scale optimization for machine learning and computational statistics. Numerous applications within these fields involve the minimization of functions with self-concordance like properties. Such generalized self-concordant (GSC) functions do not necessarily feature a Lipschitz continuous gradient, nor are they strongly convex. Indeed, in a number of applications, e.g. inverse covariance estimation or distance-weighted discrimination problems in support vector machines, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2010.01009","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2010.01009/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2010.01009","created_at":"2026-07-05T03:02:09.046000+00:00"},{"alias_kind":"arxiv_version","alias_value":"2010.01009v3","created_at":"2026-07-05T03:02:09.046000+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2010.01009","created_at":"2026-07-05T03:02:09.046000+00:00"},{"alias_kind":"pith_short_12","alias_value":"4RGVFRCG2REY","created_at":"2026-07-05T03:02:09.046000+00:00"},{"alias_kind":"pith_short_16","alias_value":"4RGVFRCG2REYRTG4","created_at":"2026-07-05T03:02:09.046000+00:00"},{"alias_kind":"pith_short_8","alias_value":"4RGVFRCG","created_at":"2026-07-05T03:02:09.046000+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4RGVFRCG2REYRTG4VITVIQ4HQ7","json":"https://pith.science/pith/4RGVFRCG2REYRTG4VITVIQ4HQ7.json","graph_json":"https://pith.science/api/pith-number/4RGVFRCG2REYRTG4VITVIQ4HQ7/graph.json","events_json":"https://pith.science/api/pith-number/4RGVFRCG2REYRTG4VITVIQ4HQ7/events.json","paper":"https://pith.science/paper/4RGVFRCG"},"agent_actions":{"view_html":"https://pith.science/pith/4RGVFRCG2REYRTG4VITVIQ4HQ7","download_json":"https://pith.science/pith/4RGVFRCG2REYRTG4VITVIQ4HQ7.json","view_paper":"https://pith.science/paper/4RGVFRCG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2010.01009&json=true","fetch_graph":"https://pith.science/api/pith-number/4RGVFRCG2REYRTG4VITVIQ4HQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/4RGVFRCG2REYRTG4VITVIQ4HQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4RGVFRCG2REYRTG4VITVIQ4HQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4RGVFRCG2REYRTG4VITVIQ4HQ7/action/storage_attestation","attest_author":"https://pith.science/pith/4RGVFRCG2REYRTG4VITVIQ4HQ7/action/author_attestation","sign_citation":"https://pith.science/pith/4RGVFRCG2REYRTG4VITVIQ4HQ7/action/citation_signature","submit_replication":"https://pith.science/pith/4RGVFRCG2REYRTG4VITVIQ4HQ7/action/replication_record"}},"created_at":"2026-07-05T03:02:09.046000+00:00","updated_at":"2026-07-05T03:02:09.046000+00:00"}