{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:EBDAPJZDFO47PX7OXGNVNDARZJ","short_pith_number":"pith:EBDAPJZD","schema_version":"1.0","canonical_sha256":"204607a7232bb9f7dfeeb99b568c11ca6eaf382b1c63531a1db5775c22cad8e1","source":{"kind":"arxiv","id":"1701.07733","version":3},"attestation_state":"computed","paper":{"title":"Qudit hypergraph states and their properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fei-Lei Xiong, Kai Chen, Wen-Fei Cao, Yi-Zheng Zhen, Zeng-Bing Chen","submitted_at":"2017-01-26T15:05:35Z","abstract_excerpt":"Hypergraph states, a generalization of graph states, constitute a large class of quantum states with intriguing non-local properties and have promising applications in quantum information science and technology. In this paper, we generalize hypergraph states to qudit hypergraph states, i.e., each vertex in the generalized hypergraph (multi-hypergraph) represents a $d$-level quantum system instead of a qubit. It is shown that multi-hypergraphs and $d$-level hypergraph states have a one-to-one correspondence. We prove that if one part of a multi-hypergraph is connected with the other part, the c"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1701.07733","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2017-01-26T15:05:35Z","cross_cats_sorted":[],"title_canon_sha256":"741598e7d4f66c6b230d4d11bc108119bd7fda566e80d6317d797a3fdca47248","abstract_canon_sha256":"9a98e172c6be14645acd72dbf48406b952f3227ef0467060a481c349866f8320"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:56.850596Z","signature_b64":"kWyAdHYMr2qbTT3gkvNLLfEijq+ukMcjQSw2OmPlIzba8KC4wuomLBXrYczptStMVvRcvfGpNZ3kDA8mwuuBCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"204607a7232bb9f7dfeeb99b568c11ca6eaf382b1c63531a1db5775c22cad8e1","last_reissued_at":"2026-05-18T00:23:56.849974Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:56.849974Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Qudit hypergraph states and their properties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Fei-Lei Xiong, Kai Chen, Wen-Fei Cao, Yi-Zheng Zhen, Zeng-Bing Chen","submitted_at":"2017-01-26T15:05:35Z","abstract_excerpt":"Hypergraph states, a generalization of graph states, constitute a large class of quantum states with intriguing non-local properties and have promising applications in quantum information science and technology. In this paper, we generalize hypergraph states to qudit hypergraph states, i.e., each vertex in the generalized hypergraph (multi-hypergraph) represents a $d$-level quantum system instead of a qubit. It is shown that multi-hypergraphs and $d$-level hypergraph states have a one-to-one correspondence. We prove that if one part of a multi-hypergraph is connected with the other part, the c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.07733","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1701.07733","created_at":"2026-05-18T00:23:56.850072+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.07733v3","created_at":"2026-05-18T00:23:56.850072+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.07733","created_at":"2026-05-18T00:23:56.850072+00:00"},{"alias_kind":"pith_short_12","alias_value":"EBDAPJZDFO47","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"EBDAPJZDFO47PX7O","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"EBDAPJZD","created_at":"2026-05-18T12:31:12.930513+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/EBDAPJZDFO47PX7OXGNVNDARZJ","json":"https://pith.science/pith/EBDAPJZDFO47PX7OXGNVNDARZJ.json","graph_json":"https://pith.science/api/pith-number/EBDAPJZDFO47PX7OXGNVNDARZJ/graph.json","events_json":"https://pith.science/api/pith-number/EBDAPJZDFO47PX7OXGNVNDARZJ/events.json","paper":"https://pith.science/paper/EBDAPJZD"},"agent_actions":{"view_html":"https://pith.science/pith/EBDAPJZDFO47PX7OXGNVNDARZJ","download_json":"https://pith.science/pith/EBDAPJZDFO47PX7OXGNVNDARZJ.json","view_paper":"https://pith.science/paper/EBDAPJZD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.07733&json=true","fetch_graph":"https://pith.science/api/pith-number/EBDAPJZDFO47PX7OXGNVNDARZJ/graph.json","fetch_events":"https://pith.science/api/pith-number/EBDAPJZDFO47PX7OXGNVNDARZJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EBDAPJZDFO47PX7OXGNVNDARZJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EBDAPJZDFO47PX7OXGNVNDARZJ/action/storage_attestation","attest_author":"https://pith.science/pith/EBDAPJZDFO47PX7OXGNVNDARZJ/action/author_attestation","sign_citation":"https://pith.science/pith/EBDAPJZDFO47PX7OXGNVNDARZJ/action/citation_signature","submit_replication":"https://pith.science/pith/EBDAPJZDFO47PX7OXGNVNDARZJ/action/replication_record"}},"created_at":"2026-05-18T00:23:56.850072+00:00","updated_at":"2026-05-18T00:23:56.850072+00:00"}