{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:C25O6WO2Z6MF3RVZLQ27RNCLFV","short_pith_number":"pith:C25O6WO2","canonical_record":{"source":{"id":"1906.09273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-21T18:00:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f85259bae08c70d5509ce74fafbd769919af10740536ebc6b76324ea4671dbfd","abstract_canon_sha256":"d6ed8ba1d92b120470844f28a08513f068868b73816eeb21b0db5646bbfc126f"},"schema_version":"1.0"},"canonical_sha256":"16baef59dacf985dc6b95c35f8b44b2d5e94240935b2c3a0fc37886481fed781","source":{"kind":"arxiv","id":"1906.09273","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09273","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09273v1","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09273","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"pith_short_12","alias_value":"C25O6WO2Z6MF","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"C25O6WO2Z6MF3RVZ","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"C25O6WO2","created_at":"2026-05-18T12:33:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:C25O6WO2Z6MF3RVZLQ27RNCLFV","target":"record","payload":{"canonical_record":{"source":{"id":"1906.09273","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-21T18:00:01Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"f85259bae08c70d5509ce74fafbd769919af10740536ebc6b76324ea4671dbfd","abstract_canon_sha256":"d6ed8ba1d92b120470844f28a08513f068868b73816eeb21b0db5646bbfc126f"},"schema_version":"1.0"},"canonical_sha256":"16baef59dacf985dc6b95c35f8b44b2d5e94240935b2c3a0fc37886481fed781","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:41.202539Z","signature_b64":"cuYLLqZbUW9PN2x0MeQg/0pWz3QfUX0bevBqZ+4dGX+CoeohhdbwY5qe82O7loek+kKyVm12OV8y8yZIZpHDCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16baef59dacf985dc6b95c35f8b44b2d5e94240935b2c3a0fc37886481fed781","last_reissued_at":"2026-05-17T23:42:41.201858Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:41.201858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1906.09273","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":"2026-05-17T23:42:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Dp7u/d+56iXO4TdZEMRCrcaDDJXVEkHV15IKtCXlcEEOIuBzJoU8xYaCVlNMVkOaknyOq10VdWz13gh7K5mpDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:05:19.021230Z"},"content_sha256":"aa214af4932bf54854e6272fba8ced78efed7ea01eda3adc1f71d438b9d61280","schema_version":"1.0","event_id":"sha256:aa214af4932bf54854e6272fba8ced78efed7ea01eda3adc1f71d438b9d61280"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:C25O6WO2Z6MF3RVZLQ27RNCLFV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Harmony for 2-Qubit Entanglement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"quant-ph","authors_text":"Don N. Page, Kento Osuga","submitted_at":"2019-06-21T18:00:01Z","abstract_excerpt":"In this Letter we present a new quantity that shows whether two general qubit systems are entangled, which we call harmony. It captures the notion of separability and maximal entanglement. It is also shown that harmony is monogamous for 3-qubit states. Thus, harmony serves as a new entanglement measure. In addition, since it is written as a simple function of the density operator, it is in practice easier to compute than other previously known measures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09273","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":"2026-05-17T23:42:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4CJJ4HVbbYXX1FpvoNvU8pP7SDSq/P09DMJQGcbqG/jSQUIistI4wNVYxtxfawxkkU45XnrV+Q/c3EPzFIqUDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T20:05:19.021912Z"},"content_sha256":"4f0cbba5d71882cee243218571eadec6b12ac462f47a5ab1ab053d8137ad2b00","schema_version":"1.0","event_id":"sha256:4f0cbba5d71882cee243218571eadec6b12ac462f47a5ab1ab053d8137ad2b00"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C25O6WO2Z6MF3RVZLQ27RNCLFV/bundle.json","state_url":"https://pith.science/pith/C25O6WO2Z6MF3RVZLQ27RNCLFV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C25O6WO2Z6MF3RVZLQ27RNCLFV/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":"2026-05-25T20:05:19Z","links":{"resolver":"https://pith.science/pith/C25O6WO2Z6MF3RVZLQ27RNCLFV","bundle":"https://pith.science/pith/C25O6WO2Z6MF3RVZLQ27RNCLFV/bundle.json","state":"https://pith.science/pith/C25O6WO2Z6MF3RVZLQ27RNCLFV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C25O6WO2Z6MF3RVZLQ27RNCLFV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:C25O6WO2Z6MF3RVZLQ27RNCLFV","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":"d6ed8ba1d92b120470844f28a08513f068868b73816eeb21b0db5646bbfc126f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-21T18:00:01Z","title_canon_sha256":"f85259bae08c70d5509ce74fafbd769919af10740536ebc6b76324ea4671dbfd"},"schema_version":"1.0","source":{"id":"1906.09273","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1906.09273","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"arxiv_version","alias_value":"1906.09273v1","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09273","created_at":"2026-05-17T23:42:41Z"},{"alias_kind":"pith_short_12","alias_value":"C25O6WO2Z6MF","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_16","alias_value":"C25O6WO2Z6MF3RVZ","created_at":"2026-05-18T12:33:12Z"},{"alias_kind":"pith_short_8","alias_value":"C25O6WO2","created_at":"2026-05-18T12:33:12Z"}],"graph_snapshots":[{"event_id":"sha256:4f0cbba5d71882cee243218571eadec6b12ac462f47a5ab1ab053d8137ad2b00","target":"graph","created_at":"2026-05-17T23:42:41Z","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":"In this Letter we present a new quantity that shows whether two general qubit systems are entangled, which we call harmony. It captures the notion of separability and maximal entanglement. It is also shown that harmony is monogamous for 3-qubit states. Thus, harmony serves as a new entanglement measure. In addition, since it is written as a simple function of the density operator, it is in practice easier to compute than other previously known measures.","authors_text":"Don N. Page, Kento Osuga","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-21T18:00:01Z","title":"Harmony for 2-Qubit Entanglement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09273","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:aa214af4932bf54854e6272fba8ced78efed7ea01eda3adc1f71d438b9d61280","target":"record","created_at":"2026-05-17T23:42:41Z","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":"d6ed8ba1d92b120470844f28a08513f068868b73816eeb21b0db5646bbfc126f","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2019-06-21T18:00:01Z","title_canon_sha256":"f85259bae08c70d5509ce74fafbd769919af10740536ebc6b76324ea4671dbfd"},"schema_version":"1.0","source":{"id":"1906.09273","kind":"arxiv","version":1}},"canonical_sha256":"16baef59dacf985dc6b95c35f8b44b2d5e94240935b2c3a0fc37886481fed781","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16baef59dacf985dc6b95c35f8b44b2d5e94240935b2c3a0fc37886481fed781","first_computed_at":"2026-05-17T23:42:41.201858Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:41.201858Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cuYLLqZbUW9PN2x0MeQg/0pWz3QfUX0bevBqZ+4dGX+CoeohhdbwY5qe82O7loek+kKyVm12OV8y8yZIZpHDCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:41.202539Z","signed_message":"canonical_sha256_bytes"},"source_id":"1906.09273","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa214af4932bf54854e6272fba8ced78efed7ea01eda3adc1f71d438b9d61280","sha256:4f0cbba5d71882cee243218571eadec6b12ac462f47a5ab1ab053d8137ad2b00"],"state_sha256":"fea46826c02582a6fd81a2950724bf72f264fec7b95416a1af88f51b149fcd9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DPaFDMBDaCluY09bl36zr7Lu9K6jH6bzFWIZ5Pakgmf2/6u32Rk8dnQKFsTF4si25j5Yb6Emjzcjx41dD28QCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T20:05:19.025455Z","bundle_sha256":"bbd697ede0fca4915ae4957be031cd010eb52f188bbc26c5d2d645780e068af5"}}