{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:NFC5DIM63PMTQVJHNWLLBNVN7D","short_pith_number":"pith:NFC5DIM6","schema_version":"1.0","canonical_sha256":"6945d1a19edbd93855276d96b0b6adf8ea33720059ff13342708055b558106ee","source":{"kind":"arxiv","id":"2607.19965","version":1},"attestation_state":"computed","paper":{"title":"Accelerated Stochastic Zeroth-Order Quasar-Convex Optimization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Em\\'eric Gbaguidi, Julien Hermant","submitted_at":"2026-07-22T09:48:50Z","abstract_excerpt":"We consider unconstrained minimization of smooth quasar-convex functions when only noisy function evaluations are accessible through a stochastic zeroth-order oracle. For these non-convex functions, the standard acceleration method relies on subspace-search mechanisms that require first-order information, being therefore unavailable in zeroth-order regimes. In contrast, the alternative and less conventional continuized method enable to avoid such mechanisms. In this work, we design a zeroth-order continuized algorithm, leading to accelerated convergence guarantees that parallel those of smooth"},"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":"2607.19965","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2026-07-22T09:48:50Z","cross_cats_sorted":[],"title_canon_sha256":"6914b74dff4cc7ba647b1fc7bcf708b502be857c1d0a59d32c62ac5c7f1e31fc","abstract_canon_sha256":"39f942c367076f18fa10789f0476dcfeeb4ffbd9f0fb1003b452805c6f9ced77"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-23T01:24:52.491542Z","signature_b64":"NsrLiOUuvInQqriVIP3dR48XwxLzgHLH3mC6/clpSAfoxQrXQAbD1Ae+zf5GsuWMdCbq0jAmkj6COeGRmTfcDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6945d1a19edbd93855276d96b0b6adf8ea33720059ff13342708055b558106ee","last_reissued_at":"2026-07-23T01:24:52.490668Z","signature_status":"signed_v1","first_computed_at":"2026-07-23T01:24:52.490668Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Accelerated Stochastic Zeroth-Order Quasar-Convex Optimization","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Em\\'eric Gbaguidi, Julien Hermant","submitted_at":"2026-07-22T09:48:50Z","abstract_excerpt":"We consider unconstrained minimization of smooth quasar-convex functions when only noisy function evaluations are accessible through a stochastic zeroth-order oracle. For these non-convex functions, the standard acceleration method relies on subspace-search mechanisms that require first-order information, being therefore unavailable in zeroth-order regimes. In contrast, the alternative and less conventional continuized method enable to avoid such mechanisms. In this work, we design a zeroth-order continuized algorithm, leading to accelerated convergence guarantees that parallel those of smooth"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.19965","kind":"arxiv","version":1},"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/2607.19965/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":"2607.19965","created_at":"2026-07-23T01:24:52.491122+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.19965v1","created_at":"2026-07-23T01:24:52.491122+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.19965","created_at":"2026-07-23T01:24:52.491122+00:00"},{"alias_kind":"pith_short_12","alias_value":"NFC5DIM63PMT","created_at":"2026-07-23T01:24:52.491122+00:00"},{"alias_kind":"pith_short_16","alias_value":"NFC5DIM63PMTQVJH","created_at":"2026-07-23T01:24:52.491122+00:00"},{"alias_kind":"pith_short_8","alias_value":"NFC5DIM6","created_at":"2026-07-23T01:24:52.491122+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/NFC5DIM63PMTQVJHNWLLBNVN7D","json":"https://pith.science/pith/NFC5DIM63PMTQVJHNWLLBNVN7D.json","graph_json":"https://pith.science/api/pith-number/NFC5DIM63PMTQVJHNWLLBNVN7D/graph.json","events_json":"https://pith.science/api/pith-number/NFC5DIM63PMTQVJHNWLLBNVN7D/events.json","paper":"https://pith.science/paper/NFC5DIM6"},"agent_actions":{"view_html":"https://pith.science/pith/NFC5DIM63PMTQVJHNWLLBNVN7D","download_json":"https://pith.science/pith/NFC5DIM63PMTQVJHNWLLBNVN7D.json","view_paper":"https://pith.science/paper/NFC5DIM6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.19965&json=true","fetch_graph":"https://pith.science/api/pith-number/NFC5DIM63PMTQVJHNWLLBNVN7D/graph.json","fetch_events":"https://pith.science/api/pith-number/NFC5DIM63PMTQVJHNWLLBNVN7D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NFC5DIM63PMTQVJHNWLLBNVN7D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NFC5DIM63PMTQVJHNWLLBNVN7D/action/storage_attestation","attest_author":"https://pith.science/pith/NFC5DIM63PMTQVJHNWLLBNVN7D/action/author_attestation","sign_citation":"https://pith.science/pith/NFC5DIM63PMTQVJHNWLLBNVN7D/action/citation_signature","submit_replication":"https://pith.science/pith/NFC5DIM63PMTQVJHNWLLBNVN7D/action/replication_record"}},"created_at":"2026-07-23T01:24:52.491122+00:00","updated_at":"2026-07-23T01:24:52.491122+00:00"}