{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:5URVVD25KSUIQP4GCQDQO7UOJ3","short_pith_number":"pith:5URVVD25","canonical_record":{"source":{"id":"2203.16629","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-30T19:27:59Z","cross_cats_sorted":[],"title_canon_sha256":"7938db7b6fc7d8c667eb259b027f46b07472677cf32530ff9a695c7ed3a176a1","abstract_canon_sha256":"88311370bc209198bc0c6116c5440003efcf539e8fedf0e1e71fc8f7c584d529"},"schema_version":"1.0"},"canonical_sha256":"ed235a8f5d54a8883f861407077e8e4ef5ddb5d196824c334ab50277ff240bc9","source":{"kind":"arxiv","id":"2203.16629","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.16629","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"2203.16629v1","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.16629","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"5URVVD25KSUI","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"pith_short_16","alias_value":"5URVVD25KSUIQP4G","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"pith_short_8","alias_value":"5URVVD25","created_at":"2026-07-05T04:10:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:5URVVD25KSUIQP4GCQDQO7UOJ3","target":"record","payload":{"canonical_record":{"source":{"id":"2203.16629","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-30T19:27:59Z","cross_cats_sorted":[],"title_canon_sha256":"7938db7b6fc7d8c667eb259b027f46b07472677cf32530ff9a695c7ed3a176a1","abstract_canon_sha256":"88311370bc209198bc0c6116c5440003efcf539e8fedf0e1e71fc8f7c584d529"},"schema_version":"1.0"},"canonical_sha256":"ed235a8f5d54a8883f861407077e8e4ef5ddb5d196824c334ab50277ff240bc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:10:14.395129Z","signature_b64":"a0PPvuybAqPqJty9cZA9AEdiMVqNTlg5xwqkFJgWpQh5gep4RPd5wxB1eXFLTLInXutRRFaJto2BGmcBBBhpDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ed235a8f5d54a8883f861407077e8e4ef5ddb5d196824c334ab50277ff240bc9","last_reissued_at":"2026-07-05T04:10:14.394774Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:10:14.394774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.16629","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":"2026-07-05T04:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G2L+q99ei44g9OBjjZiaFKB0gcejIQDyaLixl2NjNu141yDnDMnWDrAH8Rwlqm3aZtfyts76rKuB40ZRoilrCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:27:31.024475Z"},"content_sha256":"0b07a7a63588190fda6aea9ec5f9123556875d57d5174cfcf7492deeed802817","schema_version":"1.0","event_id":"sha256:0b07a7a63588190fda6aea9ec5f9123556875d57d5174cfcf7492deeed802817"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:5URVVD25KSUIQP4GCQDQO7UOJ3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A new parameterized monogamy relation between entanglement and equality","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Cong-Feng Qiao, Shao-Ming Fei, Xianqing Li-Jost, Zhi-Xiang Jin","submitted_at":"2022-03-30T19:27:59Z","abstract_excerpt":"We provide a generalized definition of the monogamy relation for entanglement measures. A monogamy equality rather than the usual inequality is presented based on the monogamy weight, from which we give monogamy relations satisfied by the $\\alpha$th $(\\alpha>0)$ power of the entanglement measures. Taking concurrence as an example, we further demonstrate the significance and advantages of these relations. In addition, we show that monogamy relations can be recovered by considering multiple copies of states for every non-additive entanglement measure that violates the inequalities. We also demon"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.16629","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/2203.16629/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":"2026-07-05T04:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4oSs1V0ZvgoIa7erXIeTSz62acOYD9WwP1pLtcW3z3BJwFLP6IBDc4x09PB9dNad4OXu1SH2ike6b0H6S+1IBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:27:31.024959Z"},"content_sha256":"b73fab2f9013f4a2251b64136aa240ccccd354e69621708957e6e448e505bd20","schema_version":"1.0","event_id":"sha256:b73fab2f9013f4a2251b64136aa240ccccd354e69621708957e6e448e505bd20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5URVVD25KSUIQP4GCQDQO7UOJ3/bundle.json","state_url":"https://pith.science/pith/5URVVD25KSUIQP4GCQDQO7UOJ3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5URVVD25KSUIQP4GCQDQO7UOJ3/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":"2026-08-03T17:27:31Z","links":{"resolver":"https://pith.science/pith/5URVVD25KSUIQP4GCQDQO7UOJ3","bundle":"https://pith.science/pith/5URVVD25KSUIQP4GCQDQO7UOJ3/bundle.json","state":"https://pith.science/pith/5URVVD25KSUIQP4GCQDQO7UOJ3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5URVVD25KSUIQP4GCQDQO7UOJ3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:5URVVD25KSUIQP4GCQDQO7UOJ3","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":"88311370bc209198bc0c6116c5440003efcf539e8fedf0e1e71fc8f7c584d529","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-30T19:27:59Z","title_canon_sha256":"7938db7b6fc7d8c667eb259b027f46b07472677cf32530ff9a695c7ed3a176a1"},"schema_version":"1.0","source":{"id":"2203.16629","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.16629","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"2203.16629v1","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.16629","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"5URVVD25KSUI","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"pith_short_16","alias_value":"5URVVD25KSUIQP4G","created_at":"2026-07-05T04:10:14Z"},{"alias_kind":"pith_short_8","alias_value":"5URVVD25","created_at":"2026-07-05T04:10:14Z"}],"graph_snapshots":[{"event_id":"sha256:b73fab2f9013f4a2251b64136aa240ccccd354e69621708957e6e448e505bd20","target":"graph","created_at":"2026-07-05T04:10:14Z","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/2203.16629/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide a generalized definition of the monogamy relation for entanglement measures. A monogamy equality rather than the usual inequality is presented based on the monogamy weight, from which we give monogamy relations satisfied by the $\\alpha$th $(\\alpha>0)$ power of the entanglement measures. Taking concurrence as an example, we further demonstrate the significance and advantages of these relations. In addition, we show that monogamy relations can be recovered by considering multiple copies of states for every non-additive entanglement measure that violates the inequalities. We also demon","authors_text":"Cong-Feng Qiao, Shao-Ming Fei, Xianqing Li-Jost, Zhi-Xiang Jin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-30T19:27:59Z","title":"A new parameterized monogamy relation between entanglement and equality"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.16629","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":"sha256:0b07a7a63588190fda6aea9ec5f9123556875d57d5174cfcf7492deeed802817","target":"record","created_at":"2026-07-05T04:10:14Z","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":"88311370bc209198bc0c6116c5440003efcf539e8fedf0e1e71fc8f7c584d529","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"quant-ph","submitted_at":"2022-03-30T19:27:59Z","title_canon_sha256":"7938db7b6fc7d8c667eb259b027f46b07472677cf32530ff9a695c7ed3a176a1"},"schema_version":"1.0","source":{"id":"2203.16629","kind":"arxiv","version":1}},"canonical_sha256":"ed235a8f5d54a8883f861407077e8e4ef5ddb5d196824c334ab50277ff240bc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ed235a8f5d54a8883f861407077e8e4ef5ddb5d196824c334ab50277ff240bc9","first_computed_at":"2026-07-05T04:10:14.394774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:10:14.394774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a0PPvuybAqPqJty9cZA9AEdiMVqNTlg5xwqkFJgWpQh5gep4RPd5wxB1eXFLTLInXutRRFaJto2BGmcBBBhpDg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:10:14.395129Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.16629","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b07a7a63588190fda6aea9ec5f9123556875d57d5174cfcf7492deeed802817","sha256:b73fab2f9013f4a2251b64136aa240ccccd354e69621708957e6e448e505bd20"],"state_sha256":"6dc8d67f316142dc4f3803780ae6a2144ee0649b3c33d7434a92b3c1be80d627"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jjBUBbKKASsDQLcLF8Behhg238eJmQ34XhynZQhvC5h7YrorFDHbGOt7e9jwD7Hb0C9abzmDQYAkuyvEeL/BBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:27:31.028643Z","bundle_sha256":"d6e8559909aaa813cabb769610ad4849ff7528779af4e0f2cad2a4ac25ed74d2"}}