{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:WSI4UUGGVRCZ34GVHW4562ZPKU","short_pith_number":"pith:WSI4UUGG","canonical_record":{"source":{"id":"1903.01236","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-04T13:46:10Z","cross_cats_sorted":[],"title_canon_sha256":"4d32c6272d5f781c16d2e4b444a158d1f9fb996fcb7960a6c18343de180d5749","abstract_canon_sha256":"f4eb33b54b2a5f5e1019edefc8bdbb155f4a25fd4a81608e270ad9b04bf92a6d"},"schema_version":"1.0"},"canonical_sha256":"b491ca50c6ac459df0d53db9df6b2f5520f9e0a01ed8cd0ab55f720811ebcde7","source":{"kind":"arxiv","id":"1903.01236","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01236","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01236v2","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01236","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"pith_short_12","alias_value":"WSI4UUGGVRCZ","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"WSI4UUGGVRCZ34GV","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"WSI4UUGG","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:WSI4UUGGVRCZ34GVHW4562ZPKU","target":"record","payload":{"canonical_record":{"source":{"id":"1903.01236","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-04T13:46:10Z","cross_cats_sorted":[],"title_canon_sha256":"4d32c6272d5f781c16d2e4b444a158d1f9fb996fcb7960a6c18343de180d5749","abstract_canon_sha256":"f4eb33b54b2a5f5e1019edefc8bdbb155f4a25fd4a81608e270ad9b04bf92a6d"},"schema_version":"1.0"},"canonical_sha256":"b491ca50c6ac459df0d53db9df6b2f5520f9e0a01ed8cd0ab55f720811ebcde7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:51:41.577798Z","signature_b64":"hajAVufhwASGXodkXwX/br8XdT2dOIYTeEDgbulZUcGijPxWreyPMf9dn3hJh/oiO8YcrPC4A838uB3miwHsCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b491ca50c6ac459df0d53db9df6b2f5520f9e0a01ed8cd0ab55f720811ebcde7","last_reissued_at":"2026-05-17T23:51:41.577149Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:51:41.577149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.01236","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":"2026-05-17T23:51:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xDbD5P1k3FUckPUEhX9YBWF9yd6vG7wLHhMWI/1big+1rO1UG18gJMlRDY4yNXF+Qf6iPVSGep6AZtcgntQ9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:46:19.813905Z"},"content_sha256":"46e3f273964577d8756174903574f692aa1b6afff0b27d5433d7fe64ff8fee32","schema_version":"1.0","event_id":"sha256:46e3f273964577d8756174903574f692aa1b6afff0b27d5433d7fe64ff8fee32"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:WSI4UUGGVRCZ34GVHW4562ZPKU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A hybrid Benders decomposition and bees algorithm matheuristic approach to transmission expansion planning considering energy storage","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.OC","authors_text":"Andreas T. Ernst, Cameron A.G. MacRae, Melih Ozlen","submitted_at":"2019-03-04T13:46:10Z","abstract_excerpt":"This paper introduces a novel hybrid optimisation algorithm that combines elements of both metaheuristic search and integer programming. This new matheuristic combines elements of Benders decomposition and the Bees Algorithm, to create the Bee-Benders Hybrid Algorithm (BBHA) which retains many of the advantages both of the methods. Specifically it is designed to be easily parallelizable, to produce good solutions quickly while still retaining a guarantee of optimality when run for a sufficiently long time. The algorithm is tested using a transmission network expansion and energy storage planni"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01236","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":""},"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":"2026-05-17T23:51:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LI/CBQUc3j+uDpgD5Db5n2NllTqYdal+6xLlPjpglwgjXwQysTTWWBrkGbhSNAea3cwKSUgGAZsKUI4jVbggBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T01:46:19.814249Z"},"content_sha256":"e7bbafcd8de810e679e2ce19991e5ff59bfaf8dc91f067bb46c23b588ae18351","schema_version":"1.0","event_id":"sha256:e7bbafcd8de810e679e2ce19991e5ff59bfaf8dc91f067bb46c23b588ae18351"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WSI4UUGGVRCZ34GVHW4562ZPKU/bundle.json","state_url":"https://pith.science/pith/WSI4UUGGVRCZ34GVHW4562ZPKU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WSI4UUGGVRCZ34GVHW4562ZPKU/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":"2026-06-12T01:46:19Z","links":{"resolver":"https://pith.science/pith/WSI4UUGGVRCZ34GVHW4562ZPKU","bundle":"https://pith.science/pith/WSI4UUGGVRCZ34GVHW4562ZPKU/bundle.json","state":"https://pith.science/pith/WSI4UUGGVRCZ34GVHW4562ZPKU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WSI4UUGGVRCZ34GVHW4562ZPKU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:WSI4UUGGVRCZ34GVHW4562ZPKU","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":"f4eb33b54b2a5f5e1019edefc8bdbb155f4a25fd4a81608e270ad9b04bf92a6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-04T13:46:10Z","title_canon_sha256":"4d32c6272d5f781c16d2e4b444a158d1f9fb996fcb7960a6c18343de180d5749"},"schema_version":"1.0","source":{"id":"1903.01236","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.01236","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"arxiv_version","alias_value":"1903.01236v2","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.01236","created_at":"2026-05-17T23:51:41Z"},{"alias_kind":"pith_short_12","alias_value":"WSI4UUGGVRCZ","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"WSI4UUGGVRCZ34GV","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"WSI4UUGG","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:e7bbafcd8de810e679e2ce19991e5ff59bfaf8dc91f067bb46c23b588ae18351","target":"graph","created_at":"2026-05-17T23:51:41Z","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":"This paper introduces a novel hybrid optimisation algorithm that combines elements of both metaheuristic search and integer programming. This new matheuristic combines elements of Benders decomposition and the Bees Algorithm, to create the Bee-Benders Hybrid Algorithm (BBHA) which retains many of the advantages both of the methods. Specifically it is designed to be easily parallelizable, to produce good solutions quickly while still retaining a guarantee of optimality when run for a sufficiently long time. The algorithm is tested using a transmission network expansion and energy storage planni","authors_text":"Andreas T. Ernst, Cameron A.G. MacRae, Melih Ozlen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-04T13:46:10Z","title":"A hybrid Benders decomposition and bees algorithm matheuristic approach to transmission expansion planning considering energy storage"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.01236","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":"sha256:46e3f273964577d8756174903574f692aa1b6afff0b27d5433d7fe64ff8fee32","target":"record","created_at":"2026-05-17T23:51:41Z","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":"f4eb33b54b2a5f5e1019edefc8bdbb155f4a25fd4a81608e270ad9b04bf92a6d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2019-03-04T13:46:10Z","title_canon_sha256":"4d32c6272d5f781c16d2e4b444a158d1f9fb996fcb7960a6c18343de180d5749"},"schema_version":"1.0","source":{"id":"1903.01236","kind":"arxiv","version":2}},"canonical_sha256":"b491ca50c6ac459df0d53db9df6b2f5520f9e0a01ed8cd0ab55f720811ebcde7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b491ca50c6ac459df0d53db9df6b2f5520f9e0a01ed8cd0ab55f720811ebcde7","first_computed_at":"2026-05-17T23:51:41.577149Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:51:41.577149Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hajAVufhwASGXodkXwX/br8XdT2dOIYTeEDgbulZUcGijPxWreyPMf9dn3hJh/oiO8YcrPC4A838uB3miwHsCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:51:41.577798Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.01236","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46e3f273964577d8756174903574f692aa1b6afff0b27d5433d7fe64ff8fee32","sha256:e7bbafcd8de810e679e2ce19991e5ff59bfaf8dc91f067bb46c23b588ae18351"],"state_sha256":"785daa7a12b2332a5d5770ecc0333e92b620defcebe994c5620912b0976885b1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VUFiCcDDK89uiPiru3yNX/rtxTFHY2W0LjpsTgVv/7hG2A9RpyPCIO4TUz+P8EODhNtrKhP8xkX1Cx3z7RxQDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T01:46:19.816205Z","bundle_sha256":"2024843780542c3a09b0fe05b1ab8e99204cd0e19a6adc839618251fcf4e1a61"}}