{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:SARNYTWUFPOOAUASULRW3F6L7V","short_pith_number":"pith:SARNYTWU","schema_version":"1.0","canonical_sha256":"9022dc4ed42bdce05012a2e36d97cbfd582a379585c5fb8e6eb687a67927d6d9","source":{"kind":"arxiv","id":"1404.4794","version":2},"attestation_state":"computed","paper":{"title":"Topological Basis Associated with B-M-W algebra: Two Spin-1/2 Realization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bo Liu, Chunfang Sun, Gangcheng Wang, Kang Xue, Yan Zhang, Ying Liu","submitted_at":"2014-04-18T14:20:30Z","abstract_excerpt":"In this letter, we study the two-spin-1/2 realization for the Birman-Murakami-Wenzl (B-M-W) algebra and the corresponding Yang-Baxter $\\breve{R}(\\theta,\\phi)$ matrix. Based on the two-spin-1/2 realization for the B-M-W algebra, the three-dimensional topological space, which is spanned by topological basis, is investigated. By means of such topological basis realization, the four-dimensional Yang-Baxter $\\breve{R}(\\theta,\\phi)$ can be reduced to Wigner $D^{J}$ function with $J=1$. The entanglement and Berry phase in the spectral parameter space are also explored. The results show that one can o"},"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":"1404.4794","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2014-04-18T14:20:30Z","cross_cats_sorted":[],"title_canon_sha256":"812d6cc53caaec9459ce411ba62cfe3a9ec9ecac5c13f5246fde5fb61c9b0d3d","abstract_canon_sha256":"097e56e7c784ae575e1f70d38e9f998ddb9eb041e7d5cdd408dae34c5d463640"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:47.391689Z","signature_b64":"gOhAsBhHMdiSpwt4eIaM/9RV7Roa9oj1XDmH/oya5eyCT0o9K2z8/JjN+V6Qcodc8dAr1bKC3H1Y0fPjKraqAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9022dc4ed42bdce05012a2e36d97cbfd582a379585c5fb8e6eb687a67927d6d9","last_reissued_at":"2026-05-18T02:35:47.391310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:47.391310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Topological Basis Associated with B-M-W algebra: Two Spin-1/2 Realization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Bo Liu, Chunfang Sun, Gangcheng Wang, Kang Xue, Yan Zhang, Ying Liu","submitted_at":"2014-04-18T14:20:30Z","abstract_excerpt":"In this letter, we study the two-spin-1/2 realization for the Birman-Murakami-Wenzl (B-M-W) algebra and the corresponding Yang-Baxter $\\breve{R}(\\theta,\\phi)$ matrix. Based on the two-spin-1/2 realization for the B-M-W algebra, the three-dimensional topological space, which is spanned by topological basis, is investigated. By means of such topological basis realization, the four-dimensional Yang-Baxter $\\breve{R}(\\theta,\\phi)$ can be reduced to Wigner $D^{J}$ function with $J=1$. The entanglement and Berry phase in the spectral parameter space are also explored. The results show that one can o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4794","kind":"arxiv","version":2},"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":"1404.4794","created_at":"2026-05-18T02:35:47.391375+00:00"},{"alias_kind":"arxiv_version","alias_value":"1404.4794v2","created_at":"2026-05-18T02:35:47.391375+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4794","created_at":"2026-05-18T02:35:47.391375+00:00"},{"alias_kind":"pith_short_12","alias_value":"SARNYTWUFPOO","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"SARNYTWUFPOOAUAS","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"SARNYTWU","created_at":"2026-05-18T12:28:49.207871+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/SARNYTWUFPOOAUASULRW3F6L7V","json":"https://pith.science/pith/SARNYTWUFPOOAUASULRW3F6L7V.json","graph_json":"https://pith.science/api/pith-number/SARNYTWUFPOOAUASULRW3F6L7V/graph.json","events_json":"https://pith.science/api/pith-number/SARNYTWUFPOOAUASULRW3F6L7V/events.json","paper":"https://pith.science/paper/SARNYTWU"},"agent_actions":{"view_html":"https://pith.science/pith/SARNYTWUFPOOAUASULRW3F6L7V","download_json":"https://pith.science/pith/SARNYTWUFPOOAUASULRW3F6L7V.json","view_paper":"https://pith.science/paper/SARNYTWU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1404.4794&json=true","fetch_graph":"https://pith.science/api/pith-number/SARNYTWUFPOOAUASULRW3F6L7V/graph.json","fetch_events":"https://pith.science/api/pith-number/SARNYTWUFPOOAUASULRW3F6L7V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SARNYTWUFPOOAUASULRW3F6L7V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SARNYTWUFPOOAUASULRW3F6L7V/action/storage_attestation","attest_author":"https://pith.science/pith/SARNYTWUFPOOAUASULRW3F6L7V/action/author_attestation","sign_citation":"https://pith.science/pith/SARNYTWUFPOOAUASULRW3F6L7V/action/citation_signature","submit_replication":"https://pith.science/pith/SARNYTWUFPOOAUASULRW3F6L7V/action/replication_record"}},"created_at":"2026-05-18T02:35:47.391375+00:00","updated_at":"2026-05-18T02:35:47.391375+00:00"}