{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:NVGKO44NHXC4LPF4NT2V3UDWTP","short_pith_number":"pith:NVGKO44N","canonical_record":{"source":{"id":"2410.15253","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2024-10-20T02:18:36Z","cross_cats_sorted":[],"title_canon_sha256":"908554572cc01361da6ec5e5068343909b331f64a309238b15e80845bc01c793","abstract_canon_sha256":"294726d4d82492315f74da902f0d1df4a59582cb03858e8221ebf531fac12ffa"},"schema_version":"1.0"},"canonical_sha256":"6d4ca7738d3dc5c5bcbc6cf55dd0769bd53c36f04d0ceb5e5db89019fed9d5d8","source":{"kind":"arxiv","id":"2410.15253","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.15253","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"arxiv_version","alias_value":"2410.15253v1","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.15253","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"pith_short_12","alias_value":"NVGKO44NHXC4","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"pith_short_16","alias_value":"NVGKO44NHXC4LPF4","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"pith_short_8","alias_value":"NVGKO44N","created_at":"2026-06-11T01:09:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:NVGKO44NHXC4LPF4NT2V3UDWTP","target":"record","payload":{"canonical_record":{"source":{"id":"2410.15253","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2024-10-20T02:18:36Z","cross_cats_sorted":[],"title_canon_sha256":"908554572cc01361da6ec5e5068343909b331f64a309238b15e80845bc01c793","abstract_canon_sha256":"294726d4d82492315f74da902f0d1df4a59582cb03858e8221ebf531fac12ffa"},"schema_version":"1.0"},"canonical_sha256":"6d4ca7738d3dc5c5bcbc6cf55dd0769bd53c36f04d0ceb5e5db89019fed9d5d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-11T01:09:09.370095Z","signature_b64":"dBKA0OFfS+bLbZybkf9aRxrJVfziwKvo5mweXwLEzFl0qlcm1uP/7qYtE0dcFpVyAwK+AP1J3yhQyWJIsVuCDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d4ca7738d3dc5c5bcbc6cf55dd0769bd53c36f04d0ceb5e5db89019fed9d5d8","last_reissued_at":"2026-06-11T01:09:09.368991Z","signature_status":"signed_v1","first_computed_at":"2026-06-11T01:09:09.368991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2410.15253","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":"2026-06-11T01:09:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ncyl3l0sxQtHjlYi2n/ypfnN+ik406TRYN3dB9/mWwAGoCFcmyk805rm1DohKZ0I0R0s4bcQekNGHd+GMI6HCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T11:10:48.568508Z"},"content_sha256":"cc594fd4cd1bfe0410c118d6e84c92924f11547729e86453e91b642c35f147fd","schema_version":"1.0","event_id":"sha256:cc594fd4cd1bfe0410c118d6e84c92924f11547729e86453e91b642c35f147fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:NVGKO44NHXC4LPF4NT2V3UDWTP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multipartite entangling power by von Neumann entropy","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lin Chen, Xinyu Qiu, Zhiwei Song","submitted_at":"2024-10-20T02:18:36Z","abstract_excerpt":"Quantifying the entanglement generation of a multipartite unitary operation is a key problem in quantum information processing. We introduce the definition of multipartite entangling, assisted entangling, and disentangling power, which is a natural generalization of the bipartite ones. We show that they are assumed at a specified quantum state. We analytically derive the entangling power of Schmidt-rank-two multi-qubit unitary operations by the minimal convex sum of modulo-one complex numbers. Besides we show the necessary and sufficient condition that the assisted entangling power of Schmidt-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.15253","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/2410.15253/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":"2026-06-11T01:09:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QfzPz/1ZepvvHlTVjtqDQwNdCU+47EVoqCyzvZiDwhvHRpV6OdZ5wmrgGRv5lliDghRruTHwXH8Tu6qyRqfrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-06T11:10:48.568877Z"},"content_sha256":"c90767e6245524870444dd9052899062d3886a36e646fc9533102a1374a44884","schema_version":"1.0","event_id":"sha256:c90767e6245524870444dd9052899062d3886a36e646fc9533102a1374a44884"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NVGKO44NHXC4LPF4NT2V3UDWTP/bundle.json","state_url":"https://pith.science/pith/NVGKO44NHXC4LPF4NT2V3UDWTP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NVGKO44NHXC4LPF4NT2V3UDWTP/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":"2026-07-06T11:10:48Z","links":{"resolver":"https://pith.science/pith/NVGKO44NHXC4LPF4NT2V3UDWTP","bundle":"https://pith.science/pith/NVGKO44NHXC4LPF4NT2V3UDWTP/bundle.json","state":"https://pith.science/pith/NVGKO44NHXC4LPF4NT2V3UDWTP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NVGKO44NHXC4LPF4NT2V3UDWTP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:NVGKO44NHXC4LPF4NT2V3UDWTP","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":"294726d4d82492315f74da902f0d1df4a59582cb03858e8221ebf531fac12ffa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2024-10-20T02:18:36Z","title_canon_sha256":"908554572cc01361da6ec5e5068343909b331f64a309238b15e80845bc01c793"},"schema_version":"1.0","source":{"id":"2410.15253","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.15253","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"arxiv_version","alias_value":"2410.15253v1","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.15253","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"pith_short_12","alias_value":"NVGKO44NHXC4","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"pith_short_16","alias_value":"NVGKO44NHXC4LPF4","created_at":"2026-06-11T01:09:09Z"},{"alias_kind":"pith_short_8","alias_value":"NVGKO44N","created_at":"2026-06-11T01:09:09Z"}],"graph_snapshots":[{"event_id":"sha256:c90767e6245524870444dd9052899062d3886a36e646fc9533102a1374a44884","target":"graph","created_at":"2026-06-11T01:09:09Z","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/2410.15253/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Quantifying the entanglement generation of a multipartite unitary operation is a key problem in quantum information processing. We introduce the definition of multipartite entangling, assisted entangling, and disentangling power, which is a natural generalization of the bipartite ones. We show that they are assumed at a specified quantum state. We analytically derive the entangling power of Schmidt-rank-two multi-qubit unitary operations by the minimal convex sum of modulo-one complex numbers. Besides we show the necessary and sufficient condition that the assisted entangling power of Schmidt-","authors_text":"Lin Chen, Xinyu Qiu, Zhiwei Song","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2024-10-20T02:18:36Z","title":"Multipartite entangling power by von Neumann entropy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.15253","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:cc594fd4cd1bfe0410c118d6e84c92924f11547729e86453e91b642c35f147fd","target":"record","created_at":"2026-06-11T01:09:09Z","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":"294726d4d82492315f74da902f0d1df4a59582cb03858e8221ebf531fac12ffa","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"quant-ph","submitted_at":"2024-10-20T02:18:36Z","title_canon_sha256":"908554572cc01361da6ec5e5068343909b331f64a309238b15e80845bc01c793"},"schema_version":"1.0","source":{"id":"2410.15253","kind":"arxiv","version":1}},"canonical_sha256":"6d4ca7738d3dc5c5bcbc6cf55dd0769bd53c36f04d0ceb5e5db89019fed9d5d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d4ca7738d3dc5c5bcbc6cf55dd0769bd53c36f04d0ceb5e5db89019fed9d5d8","first_computed_at":"2026-06-11T01:09:09.368991Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-11T01:09:09.368991Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dBKA0OFfS+bLbZybkf9aRxrJVfziwKvo5mweXwLEzFl0qlcm1uP/7qYtE0dcFpVyAwK+AP1J3yhQyWJIsVuCDQ==","signature_status":"signed_v1","signed_at":"2026-06-11T01:09:09.370095Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.15253","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc594fd4cd1bfe0410c118d6e84c92924f11547729e86453e91b642c35f147fd","sha256:c90767e6245524870444dd9052899062d3886a36e646fc9533102a1374a44884"],"state_sha256":"b265fb290e38810633a617dfd7495823bff092470209facbff3ba2c47f0fca89"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8QyI2vPmbUFL8++ps+2vNG2Z6dGSBoCSQ7ZapTIM6nh3AAhyIRLU9HQ4kzV9ps7ZSVdgcqF0yoYSknq27HorCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-06T11:10:48.570777Z","bundle_sha256":"a869f6341bb47242f357e7f278bc28cc26ae3833a6ef813c1de26bc360942e53"}}