{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:V43CBYSOU6L2BRFYWVGA3E5RTD","short_pith_number":"pith:V43CBYSO","canonical_record":{"source":{"id":"1604.07616","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-26T11:03:07Z","cross_cats_sorted":[],"title_canon_sha256":"aa4938fced7eab82b7b2a912e55758376e80412bc29cc0b1f7de9c64c9c29777","abstract_canon_sha256":"b2cbbfdaeb950c43f341c3548c2fdab2cc22c53dd9e0f20a7cdf7cfda23b52dc"},"schema_version":"1.0"},"canonical_sha256":"af3620e24ea797a0c4b8b54c0d93b198dd4a97f8b74adbc01c5a491d1406dbc4","source":{"kind":"arxiv","id":"1604.07616","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07616","created_at":"2026-05-18T00:09:10Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07616v3","created_at":"2026-05-18T00:09:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07616","created_at":"2026-05-18T00:09:10Z"},{"alias_kind":"pith_short_12","alias_value":"V43CBYSOU6L2","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"V43CBYSOU6L2BRFY","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"V43CBYSO","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:V43CBYSOU6L2BRFYWVGA3E5RTD","target":"record","payload":{"canonical_record":{"source":{"id":"1604.07616","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-26T11:03:07Z","cross_cats_sorted":[],"title_canon_sha256":"aa4938fced7eab82b7b2a912e55758376e80412bc29cc0b1f7de9c64c9c29777","abstract_canon_sha256":"b2cbbfdaeb950c43f341c3548c2fdab2cc22c53dd9e0f20a7cdf7cfda23b52dc"},"schema_version":"1.0"},"canonical_sha256":"af3620e24ea797a0c4b8b54c0d93b198dd4a97f8b74adbc01c5a491d1406dbc4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:09:10.401015Z","signature_b64":"od971QdinvBLazlbqB90wc7vETps580yc1iV3H3um2r6/SVd58JsbO4blspbZlIrzUwXOLMpMVFRjank6/3eBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af3620e24ea797a0c4b8b54c0d93b198dd4a97f8b74adbc01c5a491d1406dbc4","last_reissued_at":"2026-05-18T00:09:10.400174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:09:10.400174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.07616","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":"2026-05-18T00:09:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4x9NyV1tev3qNs4o4UiX3OzPais1Y473j/j1YL/0jb+MwcS9zuxWPuuu5VGp6TDaXB2P1CJJjproLlLs9NCiDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:13:40.453248Z"},"content_sha256":"492274d95116cb3c1774ecfe7a3541049a6d4dae1674eb6c145d90840618fde1","schema_version":"1.0","event_id":"sha256:492274d95116cb3c1774ecfe7a3541049a6d4dae1674eb6c145d90840618fde1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:V43CBYSOU6L2BRFYWVGA3E5RTD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Lian-He Shao, Tian Tian, Yongming Li, Yu Luo","submitted_at":"2016-04-26T11:03:07Z","abstract_excerpt":"In this paper, we study the monogamy inequality of Tsallis-q entropy entanglement. We first provide an analytic formula of Tsallis-q entropy entanglement in two-qubit systems for $\\frac{5-\\sqrt{13}}{2}\\leq q\\leq\\frac{5+\\sqrt{13}}{2}.$ The analytic formula of Tsallis-q entropy entanglement in $2\\otimes d$ system is also obtained and we show that Tsallis-q entropy entanglement satisfies a set of hierarchical monogamy equalities. Furthermore, we prove the squared Tsallis-q entropy entanglement follows a general inequality in the qubit systems. Based on the monogamy relations, a set of multipartit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07616","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":"2026-05-18T00:09:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+6wYsj95lANrRFj65yrrM7BeKQQifPRwcDyKel2xrlmuiCIWYlQ3oGW1VuxthOZzdYMW2crY5dXveL5OPRtNAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:13:40.453933Z"},"content_sha256":"e0e86bd2e1b03e799f59b25b5cd8d8da93cd7aa6ecbbc2ae7126d85c3e5bbdf4","schema_version":"1.0","event_id":"sha256:e0e86bd2e1b03e799f59b25b5cd8d8da93cd7aa6ecbbc2ae7126d85c3e5bbdf4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V43CBYSOU6L2BRFYWVGA3E5RTD/bundle.json","state_url":"https://pith.science/pith/V43CBYSOU6L2BRFYWVGA3E5RTD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V43CBYSOU6L2BRFYWVGA3E5RTD/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":"2026-05-25T23:13:40Z","links":{"resolver":"https://pith.science/pith/V43CBYSOU6L2BRFYWVGA3E5RTD","bundle":"https://pith.science/pith/V43CBYSOU6L2BRFYWVGA3E5RTD/bundle.json","state":"https://pith.science/pith/V43CBYSOU6L2BRFYWVGA3E5RTD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V43CBYSOU6L2BRFYWVGA3E5RTD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:V43CBYSOU6L2BRFYWVGA3E5RTD","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":"b2cbbfdaeb950c43f341c3548c2fdab2cc22c53dd9e0f20a7cdf7cfda23b52dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-26T11:03:07Z","title_canon_sha256":"aa4938fced7eab82b7b2a912e55758376e80412bc29cc0b1f7de9c64c9c29777"},"schema_version":"1.0","source":{"id":"1604.07616","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.07616","created_at":"2026-05-18T00:09:10Z"},{"alias_kind":"arxiv_version","alias_value":"1604.07616v3","created_at":"2026-05-18T00:09:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07616","created_at":"2026-05-18T00:09:10Z"},{"alias_kind":"pith_short_12","alias_value":"V43CBYSOU6L2","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"V43CBYSOU6L2BRFY","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"V43CBYSO","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:e0e86bd2e1b03e799f59b25b5cd8d8da93cd7aa6ecbbc2ae7126d85c3e5bbdf4","target":"graph","created_at":"2026-05-18T00:09:10Z","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 paper, we study the monogamy inequality of Tsallis-q entropy entanglement. We first provide an analytic formula of Tsallis-q entropy entanglement in two-qubit systems for $\\frac{5-\\sqrt{13}}{2}\\leq q\\leq\\frac{5+\\sqrt{13}}{2}.$ The analytic formula of Tsallis-q entropy entanglement in $2\\otimes d$ system is also obtained and we show that Tsallis-q entropy entanglement satisfies a set of hierarchical monogamy equalities. Furthermore, we prove the squared Tsallis-q entropy entanglement follows a general inequality in the qubit systems. Based on the monogamy relations, a set of multipartit","authors_text":"Lian-He Shao, Tian Tian, Yongming Li, Yu Luo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-26T11:03:07Z","title":"General Monogamy of Tsallis $q$-Entropy Entanglement in Multiqubit Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07616","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":"sha256:492274d95116cb3c1774ecfe7a3541049a6d4dae1674eb6c145d90840618fde1","target":"record","created_at":"2026-05-18T00:09:10Z","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":"b2cbbfdaeb950c43f341c3548c2fdab2cc22c53dd9e0f20a7cdf7cfda23b52dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2016-04-26T11:03:07Z","title_canon_sha256":"aa4938fced7eab82b7b2a912e55758376e80412bc29cc0b1f7de9c64c9c29777"},"schema_version":"1.0","source":{"id":"1604.07616","kind":"arxiv","version":3}},"canonical_sha256":"af3620e24ea797a0c4b8b54c0d93b198dd4a97f8b74adbc01c5a491d1406dbc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af3620e24ea797a0c4b8b54c0d93b198dd4a97f8b74adbc01c5a491d1406dbc4","first_computed_at":"2026-05-18T00:09:10.400174Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:10.400174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"od971QdinvBLazlbqB90wc7vETps580yc1iV3H3um2r6/SVd58JsbO4blspbZlIrzUwXOLMpMVFRjank6/3eBw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:10.401015Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.07616","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:492274d95116cb3c1774ecfe7a3541049a6d4dae1674eb6c145d90840618fde1","sha256:e0e86bd2e1b03e799f59b25b5cd8d8da93cd7aa6ecbbc2ae7126d85c3e5bbdf4"],"state_sha256":"234c0f9659424365a0adec75959d6520a47d817cad19ee827836c8430a1b54ca"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9M3YUnVjHNgyybWhxRDpY0q1MPqV9j9DeVOdQ0uicooXg3HSRpR4w87aeh5FwYK9yCJIuuucvkh9aRczrV5MBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:13:40.456637Z","bundle_sha256":"ddeef5e9c909cd108984b2d4dde3bbd1ca426c08e85788e63552607e3aad8b9d"}}