{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:O3ZLKGY7U5KRDXIMFR3YOG5NMR","short_pith_number":"pith:O3ZLKGY7","canonical_record":{"source":{"id":"2410.05942","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-08T11:45:45Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"517d541303659619013c435b841c42a82106b30ae2f3ad96a43e1c2f33d11a28","abstract_canon_sha256":"3e7b5d1d83dae74223a5f65c6c3f7dc6001ac89b790ef4edf4830d6594effa15"},"schema_version":"1.0"},"canonical_sha256":"76f2b51b1fa75511dd0c2c77871bad6440b87364fa864e2f4629c456357cd623","source":{"kind":"arxiv","id":"2410.05942","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.05942","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"2410.05942v1","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.05942","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"O3ZLKGY7U5KR","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"pith_short_16","alias_value":"O3ZLKGY7U5KRDXIM","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"pith_short_8","alias_value":"O3ZLKGY7","created_at":"2026-07-05T09:17:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:O3ZLKGY7U5KRDXIMFR3YOG5NMR","target":"record","payload":{"canonical_record":{"source":{"id":"2410.05942","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-08T11:45:45Z","cross_cats_sorted":["math.OC"],"title_canon_sha256":"517d541303659619013c435b841c42a82106b30ae2f3ad96a43e1c2f33d11a28","abstract_canon_sha256":"3e7b5d1d83dae74223a5f65c6c3f7dc6001ac89b790ef4edf4830d6594effa15"},"schema_version":"1.0"},"canonical_sha256":"76f2b51b1fa75511dd0c2c77871bad6440b87364fa864e2f4629c456357cd623","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:17:53.403045Z","signature_b64":"wE+ZKUp+HPQEw0PAZzn8Go7K2E12xzQDRR2tN9B11lW+NdsqpcMKKLcDrd46Uo0lZVqFJIPMuPPSY2UxRiTEBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"76f2b51b1fa75511dd0c2c77871bad6440b87364fa864e2f4629c456357cd623","last_reissued_at":"2026-07-05T09:17:53.402603Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:17:53.402603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.05942","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:17:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8bgvpRJj6O8sdMrJh4zydRFrqwfvcfHV37zkgdt7OGu9n90Oj30lInTlRaoYjKnNg6F81kPiStdBjd6/M/ptAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T15:35:12.190073Z"},"content_sha256":"86996ff25253ac90d6491a26fde976b87fa8bc9727bb68f46ea11363235ddbdb","schema_version":"1.0","event_id":"sha256:86996ff25253ac90d6491a26fde976b87fa8bc9727bb68f46ea11363235ddbdb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:O3ZLKGY7U5KRDXIMFR3YOG5NMR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Single Point-Based Distributed Zeroth-Order Optimization with a Non-Convex Stochastic Objective Function","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.OC"],"primary_cat":"cs.LG","authors_text":"Elissa Mhanna, Mohamad Assaad","submitted_at":"2024-10-08T11:45:45Z","abstract_excerpt":"Zero-order (ZO) optimization is a powerful tool for dealing with realistic constraints. On the other hand, the gradient-tracking (GT) technique proved to be an efficient method for distributed optimization aiming to achieve consensus. However, it is a first-order (FO) method that requires knowledge of the gradient, which is not always possible in practice. In this work, we introduce a zero-order distributed optimization method based on a one-point estimate of the gradient tracking technique. We prove that this new technique converges with a single noisy function query at a time in the non-conv"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.05942","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/2410.05942/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:17:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FZIgbU2xVl4Kr9rLfCht23DoDUoH9ZWFcjAnoiFpaPpO4gVtHg4D8hj2UiPFIMFWvnc3tVrCsjkGwKfUqt9YDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T15:35:12.190610Z"},"content_sha256":"a2bf9dc489b20d2ad13d193a58609f3f452dd9ecbfe56e8430bafe602feb12ff","schema_version":"1.0","event_id":"sha256:a2bf9dc489b20d2ad13d193a58609f3f452dd9ecbfe56e8430bafe602feb12ff"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/O3ZLKGY7U5KRDXIMFR3YOG5NMR/bundle.json","state_url":"https://pith.science/pith/O3ZLKGY7U5KRDXIMFR3YOG5NMR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/O3ZLKGY7U5KRDXIMFR3YOG5NMR/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T15:35:12Z","links":{"resolver":"https://pith.science/pith/O3ZLKGY7U5KRDXIMFR3YOG5NMR","bundle":"https://pith.science/pith/O3ZLKGY7U5KRDXIMFR3YOG5NMR/bundle.json","state":"https://pith.science/pith/O3ZLKGY7U5KRDXIMFR3YOG5NMR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/O3ZLKGY7U5KRDXIMFR3YOG5NMR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:O3ZLKGY7U5KRDXIMFR3YOG5NMR","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":"3e7b5d1d83dae74223a5f65c6c3f7dc6001ac89b790ef4edf4830d6594effa15","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-08T11:45:45Z","title_canon_sha256":"517d541303659619013c435b841c42a82106b30ae2f3ad96a43e1c2f33d11a28"},"schema_version":"1.0","source":{"id":"2410.05942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.05942","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"arxiv_version","alias_value":"2410.05942v1","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.05942","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"pith_short_12","alias_value":"O3ZLKGY7U5KR","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"pith_short_16","alias_value":"O3ZLKGY7U5KRDXIM","created_at":"2026-07-05T09:17:53Z"},{"alias_kind":"pith_short_8","alias_value":"O3ZLKGY7","created_at":"2026-07-05T09:17:53Z"}],"graph_snapshots":[{"event_id":"sha256:a2bf9dc489b20d2ad13d193a58609f3f452dd9ecbfe56e8430bafe602feb12ff","target":"graph","created_at":"2026-07-05T09:17:53Z","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/2410.05942/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Zero-order (ZO) optimization is a powerful tool for dealing with realistic constraints. On the other hand, the gradient-tracking (GT) technique proved to be an efficient method for distributed optimization aiming to achieve consensus. However, it is a first-order (FO) method that requires knowledge of the gradient, which is not always possible in practice. In this work, we introduce a zero-order distributed optimization method based on a one-point estimate of the gradient tracking technique. We prove that this new technique converges with a single noisy function query at a time in the non-conv","authors_text":"Elissa Mhanna, Mohamad Assaad","cross_cats":["math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-08T11:45:45Z","title":"Single Point-Based Distributed Zeroth-Order Optimization with a Non-Convex Stochastic Objective Function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.05942","kind":"arxiv","version":1},"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":"sha256:86996ff25253ac90d6491a26fde976b87fa8bc9727bb68f46ea11363235ddbdb","target":"record","created_at":"2026-07-05T09:17:53Z","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":"3e7b5d1d83dae74223a5f65c6c3f7dc6001ac89b790ef4edf4830d6594effa15","cross_cats_sorted":["math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-10-08T11:45:45Z","title_canon_sha256":"517d541303659619013c435b841c42a82106b30ae2f3ad96a43e1c2f33d11a28"},"schema_version":"1.0","source":{"id":"2410.05942","kind":"arxiv","version":1}},"canonical_sha256":"76f2b51b1fa75511dd0c2c77871bad6440b87364fa864e2f4629c456357cd623","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"76f2b51b1fa75511dd0c2c77871bad6440b87364fa864e2f4629c456357cd623","first_computed_at":"2026-07-05T09:17:53.402603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:17:53.402603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wE+ZKUp+HPQEw0PAZzn8Go7K2E12xzQDRR2tN9B11lW+NdsqpcMKKLcDrd46Uo0lZVqFJIPMuPPSY2UxRiTEBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:17:53.403045Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.05942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:86996ff25253ac90d6491a26fde976b87fa8bc9727bb68f46ea11363235ddbdb","sha256:a2bf9dc489b20d2ad13d193a58609f3f452dd9ecbfe56e8430bafe602feb12ff"],"state_sha256":"f22a2f7b3d107c504bad3196d96e05d5f31932f0c8d9b1a2349e36a942a5ca8f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AkF24f/RRXTLU+yWsn3GR0wriVENWnd6BtD44c4HjMr37PJr8juen0BXGMWD6dnois4oQAwKyFVvTpRpkXTxBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T15:35:12.195617Z","bundle_sha256":"5355d1f4095c76efd8010d83000a6e80089b83b6d4fa586cabcd2c8d7f6b8678"}}