{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:JJ6HAT3E624ZCVLZUN33VKJZLR","short_pith_number":"pith:JJ6HAT3E","canonical_record":{"source":{"id":"1805.07248","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-18T14:45:08Z","cross_cats_sorted":[],"title_canon_sha256":"16b48b0a2dfd76be8b8c45c3cb283e77fa0cacffce6541fd118519fa456f20d3","abstract_canon_sha256":"93d96c77bd44c181ca4ae8fe456124b05b1ee97b57e58bc69f3a97a2c60ce415"},"schema_version":"1.0"},"canonical_sha256":"4a7c704f64f6b9915579a377baa9395c5999dd2111a20671188ee60ee37fe700","source":{"kind":"arxiv","id":"1805.07248","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07248","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07248v1","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07248","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"JJ6HAT3E624Z","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JJ6HAT3E624ZCVLZ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JJ6HAT3E","created_at":"2026-05-18T12:32:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:JJ6HAT3E624ZCVLZUN33VKJZLR","target":"record","payload":{"canonical_record":{"source":{"id":"1805.07248","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-18T14:45:08Z","cross_cats_sorted":[],"title_canon_sha256":"16b48b0a2dfd76be8b8c45c3cb283e77fa0cacffce6541fd118519fa456f20d3","abstract_canon_sha256":"93d96c77bd44c181ca4ae8fe456124b05b1ee97b57e58bc69f3a97a2c60ce415"},"schema_version":"1.0"},"canonical_sha256":"4a7c704f64f6b9915579a377baa9395c5999dd2111a20671188ee60ee37fe700","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:15:38.767055Z","signature_b64":"62VWeJw0wX/NcgAVTj0XxciyP8gbByq6Nc3vz2jG8yJFIWQ95eift1eBeQ+uG5e62fyAqcIVfFpS15vpjyeuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4a7c704f64f6b9915579a377baa9395c5999dd2111a20671188ee60ee37fe700","last_reissued_at":"2026-05-18T00:15:38.766347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:15:38.766347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.07248","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":"2026-05-18T00:15:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rHkOcFNrH8sOPujL/M57CWap9r84J3SmargPqh5fxBFqqr8mf5dUHRwjSggzxmPLQl/EydWCo6sWj6U7hh/WDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T02:59:22.123461Z"},"content_sha256":"97da48cca323861b15c249304e3ea72850936a005a2a5a875d7db404e4c386a6","schema_version":"1.0","event_id":"sha256:97da48cca323861b15c249304e3ea72850936a005a2a5a875d7db404e4c386a6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:JJ6HAT3E624ZCVLZUN33VKJZLR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derivative-Free Optimization Algorithms based on Non-Commutative Maps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Amelie Zeller, Christian Ebenbauer, Jan Feiling","submitted_at":"2018-05-18T14:45:08Z","abstract_excerpt":"A novel class of derivative-free optimization algorithms is developed. The main idea is to utilize certain non-commutative maps in order to approximate the gradient of the objective function. Convergence properties of the novel algorithms are established and simulation examples are presented."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07248","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":""},"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":"2026-05-18T00:15:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DX+c3r7EN+U9XscfVqmHRsvEorlROBtRa8CPUfI0A1WXastrJCfWYnkvpTW1NVVI7jJ4uN/HVY7Xr6dbbOqlAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T02:59:22.123797Z"},"content_sha256":"938c28387bebc8fab2ec105673610600021d99bca5200ec9b8102b4af7e168c7","schema_version":"1.0","event_id":"sha256:938c28387bebc8fab2ec105673610600021d99bca5200ec9b8102b4af7e168c7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JJ6HAT3E624ZCVLZUN33VKJZLR/bundle.json","state_url":"https://pith.science/pith/JJ6HAT3E624ZCVLZUN33VKJZLR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JJ6HAT3E624ZCVLZUN33VKJZLR/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":"2026-06-28T02:59:22Z","links":{"resolver":"https://pith.science/pith/JJ6HAT3E624ZCVLZUN33VKJZLR","bundle":"https://pith.science/pith/JJ6HAT3E624ZCVLZUN33VKJZLR/bundle.json","state":"https://pith.science/pith/JJ6HAT3E624ZCVLZUN33VKJZLR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JJ6HAT3E624ZCVLZUN33VKJZLR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:JJ6HAT3E624ZCVLZUN33VKJZLR","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":"93d96c77bd44c181ca4ae8fe456124b05b1ee97b57e58bc69f3a97a2c60ce415","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-18T14:45:08Z","title_canon_sha256":"16b48b0a2dfd76be8b8c45c3cb283e77fa0cacffce6541fd118519fa456f20d3"},"schema_version":"1.0","source":{"id":"1805.07248","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.07248","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"arxiv_version","alias_value":"1805.07248v1","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.07248","created_at":"2026-05-18T00:15:38Z"},{"alias_kind":"pith_short_12","alias_value":"JJ6HAT3E624Z","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_16","alias_value":"JJ6HAT3E624ZCVLZ","created_at":"2026-05-18T12:32:31Z"},{"alias_kind":"pith_short_8","alias_value":"JJ6HAT3E","created_at":"2026-05-18T12:32:31Z"}],"graph_snapshots":[{"event_id":"sha256:938c28387bebc8fab2ec105673610600021d99bca5200ec9b8102b4af7e168c7","target":"graph","created_at":"2026-05-18T00:15:38Z","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"},"paper":{"abstract_excerpt":"A novel class of derivative-free optimization algorithms is developed. The main idea is to utilize certain non-commutative maps in order to approximate the gradient of the objective function. Convergence properties of the novel algorithms are established and simulation examples are presented.","authors_text":"Amelie Zeller, Christian Ebenbauer, Jan Feiling","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-18T14:45:08Z","title":"Derivative-Free Optimization Algorithms based on Non-Commutative Maps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.07248","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":"sha256:97da48cca323861b15c249304e3ea72850936a005a2a5a875d7db404e4c386a6","target":"record","created_at":"2026-05-18T00:15:38Z","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":"93d96c77bd44c181ca4ae8fe456124b05b1ee97b57e58bc69f3a97a2c60ce415","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2018-05-18T14:45:08Z","title_canon_sha256":"16b48b0a2dfd76be8b8c45c3cb283e77fa0cacffce6541fd118519fa456f20d3"},"schema_version":"1.0","source":{"id":"1805.07248","kind":"arxiv","version":1}},"canonical_sha256":"4a7c704f64f6b9915579a377baa9395c5999dd2111a20671188ee60ee37fe700","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a7c704f64f6b9915579a377baa9395c5999dd2111a20671188ee60ee37fe700","first_computed_at":"2026-05-18T00:15:38.766347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:38.766347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"62VWeJw0wX/NcgAVTj0XxciyP8gbByq6Nc3vz2jG8yJFIWQ95eift1eBeQ+uG5e62fyAqcIVfFpS15vpjyeuDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:38.767055Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.07248","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:97da48cca323861b15c249304e3ea72850936a005a2a5a875d7db404e4c386a6","sha256:938c28387bebc8fab2ec105673610600021d99bca5200ec9b8102b4af7e168c7"],"state_sha256":"dd832282d8363430d7c77c710e46359a2370d7c185543e44556234e6dc5d42f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UchYAtyEmOggFTmYL9kCrheUfLf8u0JskQYhOJOCLnvNWhFyw6WWXIXWLHLYzCaQ9TvK0ggrRtaoBFk79kMiBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T02:59:22.125752Z","bundle_sha256":"1e3ff083764be1d9120a4584b42a18bed1bc4ee54e99845846408f2bba7a20fd"}}