{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BQ4RJHUZQGZCFNW42YUAY7KYES","short_pith_number":"pith:BQ4RJHUZ","canonical_record":{"source":{"id":"1305.0662","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-03T09:58:24Z","cross_cats_sorted":[],"title_canon_sha256":"8c710cd62407d2043e4feb876b42193795a3f3ff6d6052bbd26a9cb0e05a73ac","abstract_canon_sha256":"6eec230c2b14f9d776fe080ff7cc29dfb9418df32e359c501957af4d6a5be2f9"},"schema_version":"1.0"},"canonical_sha256":"0c39149e9981b222b6dcd6280c7d58249ffe4565aecd562eaa0144bbff8bffc2","source":{"kind":"arxiv","id":"1305.0662","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0662","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0662v1","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0662","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"pith_short_12","alias_value":"BQ4RJHUZQGZC","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BQ4RJHUZQGZCFNW4","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BQ4RJHUZ","created_at":"2026-05-18T12:27:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BQ4RJHUZQGZCFNW42YUAY7KYES","target":"record","payload":{"canonical_record":{"source":{"id":"1305.0662","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-03T09:58:24Z","cross_cats_sorted":[],"title_canon_sha256":"8c710cd62407d2043e4feb876b42193795a3f3ff6d6052bbd26a9cb0e05a73ac","abstract_canon_sha256":"6eec230c2b14f9d776fe080ff7cc29dfb9418df32e359c501957af4d6a5be2f9"},"schema_version":"1.0"},"canonical_sha256":"0c39149e9981b222b6dcd6280c7d58249ffe4565aecd562eaa0144bbff8bffc2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:45.169789Z","signature_b64":"Hr9EJsF/y3d1W/y5/VhApzKjMqAJJlFvS7zFCluL96vlERQWish92WXwB54dQMMWGvlcAmeQe7LdIUNbfU1KAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0c39149e9981b222b6dcd6280c7d58249ffe4565aecd562eaa0144bbff8bffc2","last_reissued_at":"2026-05-18T02:34:45.169192Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:45.169192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.0662","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":"2026-05-18T02:34:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zxFqMei66gnRG0IiBBVLnbvTQuzw4knmDCq0haqessUSkrfgUxpSIYGLppxynuy7Hk6/hclieOq0cDsXDHTdAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:20:24.517146Z"},"content_sha256":"f221eb3d34fc4ece12c356b71157046d411ef28244688598b17102f11f2aed9d","schema_version":"1.0","event_id":"sha256:f221eb3d34fc4ece12c356b71157046d411ef28244688598b17102f11f2aed9d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BQ4RJHUZQGZCFNW42YUAY7KYES","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Entropic measure and hypergraph states","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Juan Wang, Ri Qu, Yan-ru Bao, Yi-ping Ma, Zong-shang Li","submitted_at":"2013-05-03T09:58:24Z","abstract_excerpt":"We investigate some properties of the entanglement of hypergraph states in purely hypergraph theoretical terms. We first introduce an approach for computing local entropic measure on qubit t of a hypergraph state by using the Hamming weight of the so-called t-adjacent subhypergraph. Then we quantify and characterize the entanglement of hypergraph states in terms of local entropic measures obtained by using the above approach. Our results show that a class of n-qubit hypergraph states can not be converted into any graph state under local unitary transformations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0662","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":"2026-05-18T02:34:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xaz/tUSVCcGJUIYF+hKnVHkggE6+kuOHlaMZyB7r3MfEGBYM/O0S/CpnKFs1assHQ5405MsPlqr/Xi95BC1YDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T20:20:24.517843Z"},"content_sha256":"8b592320220a0100abbdadd030635811a7732b8188f2114f487505ddc8d05f8a","schema_version":"1.0","event_id":"sha256:8b592320220a0100abbdadd030635811a7732b8188f2114f487505ddc8d05f8a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BQ4RJHUZQGZCFNW42YUAY7KYES/bundle.json","state_url":"https://pith.science/pith/BQ4RJHUZQGZCFNW42YUAY7KYES/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BQ4RJHUZQGZCFNW42YUAY7KYES/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":"2026-05-28T20:20:24Z","links":{"resolver":"https://pith.science/pith/BQ4RJHUZQGZCFNW42YUAY7KYES","bundle":"https://pith.science/pith/BQ4RJHUZQGZCFNW42YUAY7KYES/bundle.json","state":"https://pith.science/pith/BQ4RJHUZQGZCFNW42YUAY7KYES/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BQ4RJHUZQGZCFNW42YUAY7KYES/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BQ4RJHUZQGZCFNW42YUAY7KYES","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":"6eec230c2b14f9d776fe080ff7cc29dfb9418df32e359c501957af4d6a5be2f9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-03T09:58:24Z","title_canon_sha256":"8c710cd62407d2043e4feb876b42193795a3f3ff6d6052bbd26a9cb0e05a73ac"},"schema_version":"1.0","source":{"id":"1305.0662","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.0662","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"arxiv_version","alias_value":"1305.0662v1","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.0662","created_at":"2026-05-18T02:34:45Z"},{"alias_kind":"pith_short_12","alias_value":"BQ4RJHUZQGZC","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_16","alias_value":"BQ4RJHUZQGZCFNW4","created_at":"2026-05-18T12:27:40Z"},{"alias_kind":"pith_short_8","alias_value":"BQ4RJHUZ","created_at":"2026-05-18T12:27:40Z"}],"graph_snapshots":[{"event_id":"sha256:8b592320220a0100abbdadd030635811a7732b8188f2114f487505ddc8d05f8a","target":"graph","created_at":"2026-05-18T02:34:45Z","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":"We investigate some properties of the entanglement of hypergraph states in purely hypergraph theoretical terms. We first introduce an approach for computing local entropic measure on qubit t of a hypergraph state by using the Hamming weight of the so-called t-adjacent subhypergraph. Then we quantify and characterize the entanglement of hypergraph states in terms of local entropic measures obtained by using the above approach. Our results show that a class of n-qubit hypergraph states can not be converted into any graph state under local unitary transformations.","authors_text":"Juan Wang, Ri Qu, Yan-ru Bao, Yi-ping Ma, Zong-shang Li","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-03T09:58:24Z","title":"Entropic measure and hypergraph states"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.0662","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:f221eb3d34fc4ece12c356b71157046d411ef28244688598b17102f11f2aed9d","target":"record","created_at":"2026-05-18T02:34:45Z","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":"6eec230c2b14f9d776fe080ff7cc29dfb9418df32e359c501957af4d6a5be2f9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"quant-ph","submitted_at":"2013-05-03T09:58:24Z","title_canon_sha256":"8c710cd62407d2043e4feb876b42193795a3f3ff6d6052bbd26a9cb0e05a73ac"},"schema_version":"1.0","source":{"id":"1305.0662","kind":"arxiv","version":1}},"canonical_sha256":"0c39149e9981b222b6dcd6280c7d58249ffe4565aecd562eaa0144bbff8bffc2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0c39149e9981b222b6dcd6280c7d58249ffe4565aecd562eaa0144bbff8bffc2","first_computed_at":"2026-05-18T02:34:45.169192Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:45.169192Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Hr9EJsF/y3d1W/y5/VhApzKjMqAJJlFvS7zFCluL96vlERQWish92WXwB54dQMMWGvlcAmeQe7LdIUNbfU1KAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:45.169789Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.0662","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f221eb3d34fc4ece12c356b71157046d411ef28244688598b17102f11f2aed9d","sha256:8b592320220a0100abbdadd030635811a7732b8188f2114f487505ddc8d05f8a"],"state_sha256":"f42e3c948d17db437e70c9f51fcc08116d4e6a01079581886a6e52a8bd3be7c0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Hq/mUPlAZEHnCq/G8vLTrxnDUnWv0zVie3psdM7wk08VHQuw4IvINwsXC4wAgRGuIWGVrs6FKcrugxoOJuNIBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T20:20:24.521445Z","bundle_sha256":"8afa136edf2ee1136ce613d8ff3d5160e448d221bf12bd0c624f5af6171b7fa1"}}