{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:B2C3MBPMDVTHXVBGQGEYIEMZ3E","short_pith_number":"pith:B2C3MBPM","canonical_record":{"source":{"id":"1010.4599","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-22T00:31:45Z","cross_cats_sorted":[],"title_canon_sha256":"fc8c990a0b81e01f468e553852d7ffeb8a439201dcfa4b9f4e57eee895e4b8ba","abstract_canon_sha256":"3580c8055a8a691b9e37fdad90eac42e615ece32120fe57642e7b065c57a4738"},"schema_version":"1.0"},"canonical_sha256":"0e85b605ec1d667bd4268189841199d9298852d5ea4a6bde8d4c187bf27936f4","source":{"kind":"arxiv","id":"1010.4599","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4599","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4599v3","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4599","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"pith_short_12","alias_value":"B2C3MBPMDVTH","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"B2C3MBPMDVTHXVBG","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"B2C3MBPM","created_at":"2026-05-18T12:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:B2C3MBPMDVTHXVBGQGEYIEMZ3E","target":"record","payload":{"canonical_record":{"source":{"id":"1010.4599","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-22T00:31:45Z","cross_cats_sorted":[],"title_canon_sha256":"fc8c990a0b81e01f468e553852d7ffeb8a439201dcfa4b9f4e57eee895e4b8ba","abstract_canon_sha256":"3580c8055a8a691b9e37fdad90eac42e615ece32120fe57642e7b065c57a4738"},"schema_version":"1.0"},"canonical_sha256":"0e85b605ec1d667bd4268189841199d9298852d5ea4a6bde8d4c187bf27936f4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:16.470865Z","signature_b64":"VHRSTAZ7NUje4zW45THIRAD9jMk1RH1ep79npNKyHnasO6yQwtqDxTIsRiRKZYhp3MA+uVp3eHNh+sIqEJ7uCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0e85b605ec1d667bd4268189841199d9298852d5ea4a6bde8d4c187bf27936f4","last_reissued_at":"2026-05-18T03:25:16.470254Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:16.470254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.4599","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bNq/4xnx9NxYSQnMUIkHJoGApnF7Wnd74kocpwKgZWOeKNgkypFG0SYc+sF/vpANXL95QgDD79IXxNa1uzzjCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:31:00.957198Z"},"content_sha256":"8b518fbe4b9c74f3f3f03e1bf99ea7a378470066b982d8601de9fa31b257eb96","schema_version":"1.0","event_id":"sha256:8b518fbe4b9c74f3f3f03e1bf99ea7a378470066b982d8601de9fa31b257eb96"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:B2C3MBPMDVTHXVBGQGEYIEMZ3E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Comparing globalness of bipartite unitary operations: delocalization power, entanglement cost, and entangling power","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Akihito Soeda, Mio Murao","submitted_at":"2010-10-22T00:31:45Z","abstract_excerpt":"We compare three different characterizations of the globalness of bipartite unitary operations, namely, delocalization power, entanglement cost, and entangling power, to investigate global properties of unitary operations. We show that the globalness of the same unitary operation depends on whether input states are given by unknown states representing pieces of quantum information, or a set of known states for the characterization. We extend our analysis on the delocalization power in two ways. First, we show that the delocalization power differs whether the global operation is applied on one "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4599","kind":"arxiv","version":3},"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":"2026-05-18T03:25:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QvuY24F7bg4AXeNp9RcZhq5DpfJWKgRkX6NKnsM4Xtj8wq//pKcZXWEitLZmMbi4/2xlr3TcRg10f/FO7CrIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T14:31:00.957553Z"},"content_sha256":"ae5d467924628c141826951db0fadf05cfa00440baa0093b6a6566acd9d74956","schema_version":"1.0","event_id":"sha256:ae5d467924628c141826951db0fadf05cfa00440baa0093b6a6566acd9d74956"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B2C3MBPMDVTHXVBGQGEYIEMZ3E/bundle.json","state_url":"https://pith.science/pith/B2C3MBPMDVTHXVBGQGEYIEMZ3E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B2C3MBPMDVTHXVBGQGEYIEMZ3E/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":"2026-05-30T14:31:00Z","links":{"resolver":"https://pith.science/pith/B2C3MBPMDVTHXVBGQGEYIEMZ3E","bundle":"https://pith.science/pith/B2C3MBPMDVTHXVBGQGEYIEMZ3E/bundle.json","state":"https://pith.science/pith/B2C3MBPMDVTHXVBGQGEYIEMZ3E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B2C3MBPMDVTHXVBGQGEYIEMZ3E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:B2C3MBPMDVTHXVBGQGEYIEMZ3E","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":"3580c8055a8a691b9e37fdad90eac42e615ece32120fe57642e7b065c57a4738","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-22T00:31:45Z","title_canon_sha256":"fc8c990a0b81e01f468e553852d7ffeb8a439201dcfa4b9f4e57eee895e4b8ba"},"schema_version":"1.0","source":{"id":"1010.4599","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.4599","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"arxiv_version","alias_value":"1010.4599v3","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.4599","created_at":"2026-05-18T03:25:16Z"},{"alias_kind":"pith_short_12","alias_value":"B2C3MBPMDVTH","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"B2C3MBPMDVTHXVBG","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"B2C3MBPM","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:ae5d467924628c141826951db0fadf05cfa00440baa0093b6a6566acd9d74956","target":"graph","created_at":"2026-05-18T03:25:16Z","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":"We compare three different characterizations of the globalness of bipartite unitary operations, namely, delocalization power, entanglement cost, and entangling power, to investigate global properties of unitary operations. We show that the globalness of the same unitary operation depends on whether input states are given by unknown states representing pieces of quantum information, or a set of known states for the characterization. We extend our analysis on the delocalization power in two ways. First, we show that the delocalization power differs whether the global operation is applied on one ","authors_text":"Akihito Soeda, Mio Murao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-22T00:31:45Z","title":"Comparing globalness of bipartite unitary operations: delocalization power, entanglement cost, and entangling power"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.4599","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":"sha256:8b518fbe4b9c74f3f3f03e1bf99ea7a378470066b982d8601de9fa31b257eb96","target":"record","created_at":"2026-05-18T03:25:16Z","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":"3580c8055a8a691b9e37fdad90eac42e615ece32120fe57642e7b065c57a4738","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-22T00:31:45Z","title_canon_sha256":"fc8c990a0b81e01f468e553852d7ffeb8a439201dcfa4b9f4e57eee895e4b8ba"},"schema_version":"1.0","source":{"id":"1010.4599","kind":"arxiv","version":3}},"canonical_sha256":"0e85b605ec1d667bd4268189841199d9298852d5ea4a6bde8d4c187bf27936f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0e85b605ec1d667bd4268189841199d9298852d5ea4a6bde8d4c187bf27936f4","first_computed_at":"2026-05-18T03:25:16.470254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:16.470254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VHRSTAZ7NUje4zW45THIRAD9jMk1RH1ep79npNKyHnasO6yQwtqDxTIsRiRKZYhp3MA+uVp3eHNh+sIqEJ7uCg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:16.470865Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.4599","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b518fbe4b9c74f3f3f03e1bf99ea7a378470066b982d8601de9fa31b257eb96","sha256:ae5d467924628c141826951db0fadf05cfa00440baa0093b6a6566acd9d74956"],"state_sha256":"eed78fe3bfbcbf35304ed62bfac83e805d9197b0e9a767c1993203ed13f8afce"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MhjdOgNvE64rSY6Ovq75Xwa0lpdHdeEfwqgi0E9BVO4PaNxtro3cGCtY/erMmi7Zlngrz9oKvFx5obm2EX5DBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T14:31:00.959396Z","bundle_sha256":"452a51e6407d181bb5df99ed4ee45bdb44f72fdde2c755e30f9ed3fc0744780a"}}