{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:LYYL7OAKT7E2YGVBBRRKM5YXAL","short_pith_number":"pith:LYYL7OAK","canonical_record":{"source":{"id":"2411.03051","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-11-05T12:38:52Z","cross_cats_sorted":[],"title_canon_sha256":"746fa940decb04ddb4624e37bf095fea6825098987cacd6f4f8dedd629d53747","abstract_canon_sha256":"79367e677c382a631f29909bf5ad6ed047d39f83bcf00698dad10d6d63e8a60c"},"schema_version":"1.0"},"canonical_sha256":"5e30bfb80a9fc9ac1aa10c62a6771702e2cd5510e47d1cd58d757347881607ab","source":{"kind":"arxiv","id":"2411.03051","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.03051","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"arxiv_version","alias_value":"2411.03051v2","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.03051","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_12","alias_value":"LYYL7OAKT7E2","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_16","alias_value":"LYYL7OAKT7E2YGVB","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_8","alias_value":"LYYL7OAK","created_at":"2026-07-05T11:43:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:LYYL7OAKT7E2YGVBBRRKM5YXAL","target":"record","payload":{"canonical_record":{"source":{"id":"2411.03051","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-11-05T12:38:52Z","cross_cats_sorted":[],"title_canon_sha256":"746fa940decb04ddb4624e37bf095fea6825098987cacd6f4f8dedd629d53747","abstract_canon_sha256":"79367e677c382a631f29909bf5ad6ed047d39f83bcf00698dad10d6d63e8a60c"},"schema_version":"1.0"},"canonical_sha256":"5e30bfb80a9fc9ac1aa10c62a6771702e2cd5510e47d1cd58d757347881607ab","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:43:58.304614Z","signature_b64":"OvY4fq5b7FywDWQz3kNd0aXacYMBjQ5a21i1WOv6fFqTrVWUVmi8R4ic46auBjokZ/Ik79iAO4etHLTVSKofCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e30bfb80a9fc9ac1aa10c62a6771702e2cd5510e47d1cd58d757347881607ab","last_reissued_at":"2026-07-05T11:43:58.304127Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:43:58.304127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2411.03051","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T11:43:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H6WFDVCLcM4G3SSwdAhYwp4o361yeLyDPgqOWrR9ca+gqm8IAx/Hpzp+9SljPhSx8FpmAV4xE9CEMEGPXnWjCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T11:57:05.883213Z"},"content_sha256":"a9dd608e6406add09eda1b602da094474c0e3b16ebf0482c9701fdc4093a3f73","schema_version":"1.0","event_id":"sha256:a9dd608e6406add09eda1b602da094474c0e3b16ebf0482c9701fdc4093a3f73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:LYYL7OAKT7E2YGVBBRRKM5YXAL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fast and robust consensus-based optimization via optimal feedback control","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Dante Kalise, Michael Herty, Nikolas Kantas, Yuyang Huang","submitted_at":"2024-11-05T12:38:52Z","abstract_excerpt":"We propose a variant of consensus-based optimization (CBO) algorithms, controlled-CBO, which introduces a feedback control term to improve convergence towards global minimizers of non-convex functions in multiple dimensions. The feedback law is a gradient of a numerical approximation to the Hamilton-Jacobi-Bellman (HJB) equation, which serves as a proxy of the original objective function. Thus, the associated control signal furnishes gradient-like information to facilitate the identification of the global minimum without requiring derivative computation from the objective function itself. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.03051","kind":"arxiv","version":2},"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/2411.03051/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":"2026-07-05T11:43:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k0BE2opFHHzKWT9gKz/yAm6Rf0G9Bv34EHqrvcPYGoYb8lDNqSMc+AgInvE80Jv5dgmp2jCmK+mu3LNBlh/cAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T11:57:05.883717Z"},"content_sha256":"43f956b499398d623497cba188f569678dc4f657c6d854e1603ba73bbac6fa9d","schema_version":"1.0","event_id":"sha256:43f956b499398d623497cba188f569678dc4f657c6d854e1603ba73bbac6fa9d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LYYL7OAKT7E2YGVBBRRKM5YXAL/bundle.json","state_url":"https://pith.science/pith/LYYL7OAKT7E2YGVBBRRKM5YXAL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LYYL7OAKT7E2YGVBBRRKM5YXAL/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":"2026-08-22T11:57:05Z","links":{"resolver":"https://pith.science/pith/LYYL7OAKT7E2YGVBBRRKM5YXAL","bundle":"https://pith.science/pith/LYYL7OAKT7E2YGVBBRRKM5YXAL/bundle.json","state":"https://pith.science/pith/LYYL7OAKT7E2YGVBBRRKM5YXAL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LYYL7OAKT7E2YGVBBRRKM5YXAL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LYYL7OAKT7E2YGVBBRRKM5YXAL","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":"79367e677c382a631f29909bf5ad6ed047d39f83bcf00698dad10d6d63e8a60c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-11-05T12:38:52Z","title_canon_sha256":"746fa940decb04ddb4624e37bf095fea6825098987cacd6f4f8dedd629d53747"},"schema_version":"1.0","source":{"id":"2411.03051","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.03051","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"arxiv_version","alias_value":"2411.03051v2","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.03051","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_12","alias_value":"LYYL7OAKT7E2","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_16","alias_value":"LYYL7OAKT7E2YGVB","created_at":"2026-07-05T11:43:58Z"},{"alias_kind":"pith_short_8","alias_value":"LYYL7OAK","created_at":"2026-07-05T11:43:58Z"}],"graph_snapshots":[{"event_id":"sha256:43f956b499398d623497cba188f569678dc4f657c6d854e1603ba73bbac6fa9d","target":"graph","created_at":"2026-07-05T11:43:58Z","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/2411.03051/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a variant of consensus-based optimization (CBO) algorithms, controlled-CBO, which introduces a feedback control term to improve convergence towards global minimizers of non-convex functions in multiple dimensions. The feedback law is a gradient of a numerical approximation to the Hamilton-Jacobi-Bellman (HJB) equation, which serves as a proxy of the original objective function. Thus, the associated control signal furnishes gradient-like information to facilitate the identification of the global minimum without requiring derivative computation from the objective function itself. The ","authors_text":"Dante Kalise, Michael Herty, Nikolas Kantas, Yuyang Huang","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-11-05T12:38:52Z","title":"Fast and robust consensus-based optimization via optimal feedback control"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.03051","kind":"arxiv","version":2},"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:a9dd608e6406add09eda1b602da094474c0e3b16ebf0482c9701fdc4093a3f73","target":"record","created_at":"2026-07-05T11:43:58Z","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":"79367e677c382a631f29909bf5ad6ed047d39f83bcf00698dad10d6d63e8a60c","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-11-05T12:38:52Z","title_canon_sha256":"746fa940decb04ddb4624e37bf095fea6825098987cacd6f4f8dedd629d53747"},"schema_version":"1.0","source":{"id":"2411.03051","kind":"arxiv","version":2}},"canonical_sha256":"5e30bfb80a9fc9ac1aa10c62a6771702e2cd5510e47d1cd58d757347881607ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e30bfb80a9fc9ac1aa10c62a6771702e2cd5510e47d1cd58d757347881607ab","first_computed_at":"2026-07-05T11:43:58.304127Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:43:58.304127Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OvY4fq5b7FywDWQz3kNd0aXacYMBjQ5a21i1WOv6fFqTrVWUVmi8R4ic46auBjokZ/Ik79iAO4etHLTVSKofCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:43:58.304614Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.03051","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9dd608e6406add09eda1b602da094474c0e3b16ebf0482c9701fdc4093a3f73","sha256:43f956b499398d623497cba188f569678dc4f657c6d854e1603ba73bbac6fa9d"],"state_sha256":"5c3cc2e2e7ddd8172c34f96eacbc22929041a629c96999b9e0f6bb8f5ed629eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HnG6TH/5UV2Eu2q+NnRpqOSJGUsC+tTgKxFd6p/oyR1gmPfbWH7jhIKe4lYsHJ3Zb6nLQ/vXdO3mmayjf0ZgDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T11:57:05.887410Z","bundle_sha256":"9d283552c99eba4c3b9bec5b7cdd36df6cf1123306ddb1daee8e6acc8bb6d888"}}