{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:3JY4EUYWUGI6NRBKBRIXMYMEXA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"0c6fc74d4f79f68030c6fa2cffd8fc10a652a4d927d3099b540292581cdacc20","cross_cats_sorted":["cs.AI","cs.LG","cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.OC","submitted_at":"2025-05-04T22:43:57Z","title_canon_sha256":"40078c16806de2a701275e86430291fd6bea9436e3e1630effdec88f8a390753"},"schema_version":"1.0","source":{"id":"2505.02281","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.02281","created_at":"2026-06-24T01:14:20Z"},{"alias_kind":"arxiv_version","alias_value":"2505.02281v3","created_at":"2026-06-24T01:14:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.02281","created_at":"2026-06-24T01:14:20Z"},{"alias_kind":"pith_short_12","alias_value":"3JY4EUYWUGI6","created_at":"2026-06-24T01:14:20Z"},{"alias_kind":"pith_short_16","alias_value":"3JY4EUYWUGI6NRBK","created_at":"2026-06-24T01:14:20Z"},{"alias_kind":"pith_short_8","alias_value":"3JY4EUYW","created_at":"2026-06-24T01:14:20Z"}],"graph_snapshots":[{"event_id":"sha256:b8337bdd3b1b38c439dc51821d4025c5d6d27c78ce270bec5d5b148ba077cfb3","target":"graph","created_at":"2026-06-24T01:14:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2505.02281/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper explores the performance of a random Gaussian smoothing zeroth-order (ZO) scheme for minimising quasar-convex (QC) and strongly quasar-convex (SQC) functions in both unconstrained and constrained settings. For the unconstrained problem, we establish the ZO algorithm's convergence to a global minimum along with its complexity when applied to both QC and SQC functions. For the constrained problem, we introduce the new notion of proximal-quasar-convexity and prove analogous results to the unconstrained case. Specifically, we derive complexity bounds and prove convergence of the algorit","authors_text":"Amir Ali Farzin, Iman Shames, Philipp Braun, Yuen-Man Pun","cross_cats":["cs.AI","cs.LG","cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.OC","submitted_at":"2025-05-04T22:43:57Z","title":"Minimisation of Quasar-Convex Functions Using Random Zeroth-Order Oracles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.02281","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:399d298c489968f65e3cff9edbf5ea8b5abeb45927b0943135d9063814b99cd6","target":"record","created_at":"2026-06-24T01:14:20Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"0c6fc74d4f79f68030c6fa2cffd8fc10a652a4d927d3099b540292581cdacc20","cross_cats_sorted":["cs.AI","cs.LG","cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by-sa/4.0/","primary_cat":"math.OC","submitted_at":"2025-05-04T22:43:57Z","title_canon_sha256":"40078c16806de2a701275e86430291fd6bea9436e3e1630effdec88f8a390753"},"schema_version":"1.0","source":{"id":"2505.02281","kind":"arxiv","version":3}},"canonical_sha256":"da71c25316a191e6c42a0c51766184b82a0e803e5303854e113ce363a85c47a3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"da71c25316a191e6c42a0c51766184b82a0e803e5303854e113ce363a85c47a3","first_computed_at":"2026-06-24T01:14:20.248266Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:14:20.248266Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uddwgfTH4xEsCvOi3okwkDCueCJa9nhHWm/bc1Kv1F4XwAkzO9SOAtHcEfpHI0AjhoeJbVpyNa+TDa+j0l4NAA==","signature_status":"signed_v1","signed_at":"2026-06-24T01:14:20.248697Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.02281","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:399d298c489968f65e3cff9edbf5ea8b5abeb45927b0943135d9063814b99cd6","sha256:b8337bdd3b1b38c439dc51821d4025c5d6d27c78ce270bec5d5b148ba077cfb3"],"state_sha256":"fe0066c6dcaf78254675ad0d5fd358813b295ac90b010b02fd73e028b1177426"}