{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:IQBFPMTKGVQSBT7UJY4OJQXNYL","short_pith_number":"pith:IQBFPMTK","canonical_record":{"source":{"id":"1301.3576","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-01-16T04:06:10Z","cross_cats_sorted":[],"title_canon_sha256":"b501f5b554b6829434e8eae4ba846697e4eb3a5cf44131281fd32f65c0b497fa","abstract_canon_sha256":"2824feb6f50584bf1ed66203822c92146d419470a6eb57c3221703522ae9335a"},"schema_version":"1.0"},"canonical_sha256":"440257b26a356120cff44e38e4c2edc2ce97362d513807780d83c6d0f1ce3098","source":{"kind":"arxiv","id":"1301.3576","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3576","created_at":"2026-05-18T03:27:22Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3576v1","created_at":"2026-05-18T03:27:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3576","created_at":"2026-05-18T03:27:22Z"},{"alias_kind":"pith_short_12","alias_value":"IQBFPMTKGVQS","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IQBFPMTKGVQSBT7U","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IQBFPMTK","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:IQBFPMTKGVQSBT7UJY4OJQXNYL","target":"record","payload":{"canonical_record":{"source":{"id":"1301.3576","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-01-16T04:06:10Z","cross_cats_sorted":[],"title_canon_sha256":"b501f5b554b6829434e8eae4ba846697e4eb3a5cf44131281fd32f65c0b497fa","abstract_canon_sha256":"2824feb6f50584bf1ed66203822c92146d419470a6eb57c3221703522ae9335a"},"schema_version":"1.0"},"canonical_sha256":"440257b26a356120cff44e38e4c2edc2ce97362d513807780d83c6d0f1ce3098","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:27:22.664867Z","signature_b64":"7JdSjJ/fwZfNB090czKkmMVsuy3pSFgGEQDlrCAg8wNjT7cOqWrTr/Xmm+Mt7yUZ0UKrAwJZmSeYPWlRYuU1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"440257b26a356120cff44e38e4c2edc2ce97362d513807780d83c6d0f1ce3098","last_reissued_at":"2026-05-18T03:27:22.664350Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:27:22.664350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.3576","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":"2026-05-18T03:27:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7WzuG+LYtdUJ6ztQbBsLWPFxXJSP1IjqLzVILNF5oPOuRCxk0ejXMuFrn3RyXlIwSBKRmmMHdBQKy5l2TR2SBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:21:23.356983Z"},"content_sha256":"98b22fe5aac3e3e3d985bc7aefb635bf5202609e8b935b81a35596b569e8dff5","schema_version":"1.0","event_id":"sha256:98b22fe5aac3e3e3d985bc7aefb635bf5202609e8b935b81a35596b569e8dff5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:IQBFPMTKGVQSBT7UJY4OJQXNYL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multipartite Entanglement and Hypergraph states of three qubits","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Juan Wang, Ri Qu, Yan-ru Bao, Zong-shang Li","submitted_at":"2013-01-16T04:06:10Z","abstract_excerpt":"Several entanglement measures are used to define equivalence classes in the set of hypergraph states of three qubits. Our classifications reveal that (i) under local unitary transformations, hypergraph states of three qubits are split into six classes and only one class of them is not equivalent to any graph state; (ii) under stochastic local operations with classical communication, for the single copy case hypergraph states of three qubits, partitioned into five classes which can not be converted into a W state, are equivalent to graph states; and (iii) when bipartite entanglement in three qu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3576","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":"2026-05-18T03:27:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9uU/hVqrv/1RiefBbkZRZogFMvmYbzH6cuwApcJHFcIqpIL8ciwVf9tQP3laYojEMz9z9buFsNmiozsNRzWaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:21:23.357679Z"},"content_sha256":"65c2ead0806ad8090e6f5050d77ef7ac8f195352175108d6221034803554592e","schema_version":"1.0","event_id":"sha256:65c2ead0806ad8090e6f5050d77ef7ac8f195352175108d6221034803554592e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IQBFPMTKGVQSBT7UJY4OJQXNYL/bundle.json","state_url":"https://pith.science/pith/IQBFPMTKGVQSBT7UJY4OJQXNYL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IQBFPMTKGVQSBT7UJY4OJQXNYL/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":"2026-06-09T01:21:23Z","links":{"resolver":"https://pith.science/pith/IQBFPMTKGVQSBT7UJY4OJQXNYL","bundle":"https://pith.science/pith/IQBFPMTKGVQSBT7UJY4OJQXNYL/bundle.json","state":"https://pith.science/pith/IQBFPMTKGVQSBT7UJY4OJQXNYL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IQBFPMTKGVQSBT7UJY4OJQXNYL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:IQBFPMTKGVQSBT7UJY4OJQXNYL","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":"2824feb6f50584bf1ed66203822c92146d419470a6eb57c3221703522ae9335a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-01-16T04:06:10Z","title_canon_sha256":"b501f5b554b6829434e8eae4ba846697e4eb3a5cf44131281fd32f65c0b497fa"},"schema_version":"1.0","source":{"id":"1301.3576","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.3576","created_at":"2026-05-18T03:27:22Z"},{"alias_kind":"arxiv_version","alias_value":"1301.3576v1","created_at":"2026-05-18T03:27:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.3576","created_at":"2026-05-18T03:27:22Z"},{"alias_kind":"pith_short_12","alias_value":"IQBFPMTKGVQS","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"IQBFPMTKGVQSBT7U","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"IQBFPMTK","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:65c2ead0806ad8090e6f5050d77ef7ac8f195352175108d6221034803554592e","target":"graph","created_at":"2026-05-18T03:27:22Z","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":"Several entanglement measures are used to define equivalence classes in the set of hypergraph states of three qubits. Our classifications reveal that (i) under local unitary transformations, hypergraph states of three qubits are split into six classes and only one class of them is not equivalent to any graph state; (ii) under stochastic local operations with classical communication, for the single copy case hypergraph states of three qubits, partitioned into five classes which can not be converted into a W state, are equivalent to graph states; and (iii) when bipartite entanglement in three qu","authors_text":"Juan Wang, Ri Qu, Yan-ru Bao, Zong-shang Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-01-16T04:06:10Z","title":"Multipartite Entanglement and Hypergraph states of three qubits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.3576","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":"sha256:98b22fe5aac3e3e3d985bc7aefb635bf5202609e8b935b81a35596b569e8dff5","target":"record","created_at":"2026-05-18T03:27:22Z","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":"2824feb6f50584bf1ed66203822c92146d419470a6eb57c3221703522ae9335a","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-01-16T04:06:10Z","title_canon_sha256":"b501f5b554b6829434e8eae4ba846697e4eb3a5cf44131281fd32f65c0b497fa"},"schema_version":"1.0","source":{"id":"1301.3576","kind":"arxiv","version":1}},"canonical_sha256":"440257b26a356120cff44e38e4c2edc2ce97362d513807780d83c6d0f1ce3098","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"440257b26a356120cff44e38e4c2edc2ce97362d513807780d83c6d0f1ce3098","first_computed_at":"2026-05-18T03:27:22.664350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:22.664350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7JdSjJ/fwZfNB090czKkmMVsuy3pSFgGEQDlrCAg8wNjT7cOqWrTr/Xmm+Mt7yUZ0UKrAwJZmSeYPWlRYuU1CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:22.664867Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.3576","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98b22fe5aac3e3e3d985bc7aefb635bf5202609e8b935b81a35596b569e8dff5","sha256:65c2ead0806ad8090e6f5050d77ef7ac8f195352175108d6221034803554592e"],"state_sha256":"a415b648e9db2303fcffb3903f0b2757f49318b345afac01bc81da3be9c63fcd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JWWn8q7RzXCkKEUOCkJ3xuLChNKygN7GZNCkIhukabbAxO1ey/QjJYssmeZy6R98lJFO99O2+5uiDuICUhPQDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T01:21:23.361729Z","bundle_sha256":"32a394bdc3cefcb7c821eb50ace909fdb7c39f3fb8556a210c18bd4a7cba786b"}}