{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:Z3H4PKJIVL5VT6NY6ITBGT7TCY","short_pith_number":"pith:Z3H4PKJI","schema_version":"1.0","canonical_sha256":"cecfc7a928aafb59f9b8f226134ff3163118e9b72d77d67e3e000db9c16e7f63","source":{"kind":"arxiv","id":"1511.03281","version":1},"attestation_state":"computed","paper":{"title":"Constructions of Dicke states in high spin multi-particle systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Wan-Fang Liu, Zheng-Da Hu","submitted_at":"2015-11-08T06:08:48Z","abstract_excerpt":"We study the constructions of Dicke states of identical particles of spin-$1$, $3/2$ and $2$ in the number representation with given particle number $N$ and magnetic quantum number $M$. The complete bases and corresponding coefficients in the Dicke states are given, in terms of which the Dicke states are explicitly expressed in the number representation. As a byproduct, a rule of how to construct all the anti-symmetric states in these high spin systems is given. Finally, by employing the negativity as the entanglement measure, we explore the entanglement properties for spin-$1$ cases including"},"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":"1511.03281","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-11-08T06:08:48Z","cross_cats_sorted":[],"title_canon_sha256":"954e6d05bbeacc769e71b151fad9750d7d750a07f81d30f6784895fb4ddf9913","abstract_canon_sha256":"ae4ba2ff2b1ac9444ee2397992c6a2ff980ea1d2939e3a2c1d6334bc3b0a8602"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:15.856598Z","signature_b64":"BJNc+UzST/j4VEDPU3wNhisbxv+Q4jvzGFJLfEkDr3KO2mrod35sWtOGSUmvBtCvCJH1Fw0AUjx4niDVc0KwAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cecfc7a928aafb59f9b8f226134ff3163118e9b72d77d67e3e000db9c16e7f63","last_reissued_at":"2026-05-18T01:27:15.855925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:15.855925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Constructions of Dicke states in high spin multi-particle systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Wan-Fang Liu, Zheng-Da Hu","submitted_at":"2015-11-08T06:08:48Z","abstract_excerpt":"We study the constructions of Dicke states of identical particles of spin-$1$, $3/2$ and $2$ in the number representation with given particle number $N$ and magnetic quantum number $M$. The complete bases and corresponding coefficients in the Dicke states are given, in terms of which the Dicke states are explicitly expressed in the number representation. As a byproduct, a rule of how to construct all the anti-symmetric states in these high spin systems is given. Finally, by employing the negativity as the entanglement measure, we explore the entanglement properties for spin-$1$ cases including"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03281","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1511.03281","created_at":"2026-05-18T01:27:15.856025+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.03281v1","created_at":"2026-05-18T01:27:15.856025+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03281","created_at":"2026-05-18T01:27:15.856025+00:00"},{"alias_kind":"pith_short_12","alias_value":"Z3H4PKJIVL5V","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"Z3H4PKJIVL5VT6NY","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"Z3H4PKJI","created_at":"2026-05-18T12:29:52.810259+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/Z3H4PKJIVL5VT6NY6ITBGT7TCY","json":"https://pith.science/pith/Z3H4PKJIVL5VT6NY6ITBGT7TCY.json","graph_json":"https://pith.science/api/pith-number/Z3H4PKJIVL5VT6NY6ITBGT7TCY/graph.json","events_json":"https://pith.science/api/pith-number/Z3H4PKJIVL5VT6NY6ITBGT7TCY/events.json","paper":"https://pith.science/paper/Z3H4PKJI"},"agent_actions":{"view_html":"https://pith.science/pith/Z3H4PKJIVL5VT6NY6ITBGT7TCY","download_json":"https://pith.science/pith/Z3H4PKJIVL5VT6NY6ITBGT7TCY.json","view_paper":"https://pith.science/paper/Z3H4PKJI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.03281&json=true","fetch_graph":"https://pith.science/api/pith-number/Z3H4PKJIVL5VT6NY6ITBGT7TCY/graph.json","fetch_events":"https://pith.science/api/pith-number/Z3H4PKJIVL5VT6NY6ITBGT7TCY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Z3H4PKJIVL5VT6NY6ITBGT7TCY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Z3H4PKJIVL5VT6NY6ITBGT7TCY/action/storage_attestation","attest_author":"https://pith.science/pith/Z3H4PKJIVL5VT6NY6ITBGT7TCY/action/author_attestation","sign_citation":"https://pith.science/pith/Z3H4PKJIVL5VT6NY6ITBGT7TCY/action/citation_signature","submit_replication":"https://pith.science/pith/Z3H4PKJIVL5VT6NY6ITBGT7TCY/action/replication_record"}},"created_at":"2026-05-18T01:27:15.856025+00:00","updated_at":"2026-05-18T01:27:15.856025+00:00"}