{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:ETWKPHPI6QUVOQCUSACMS6NHIF","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":"1a13d7247ea9267003a15ad6557a67aef24b6a1fc76a993974bcc3377be0a99a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-30T16:12:27Z","title_canon_sha256":"3f24e670442fd5405ebe452854746106ebf89e20d490b4eec265b62d8891068a"},"schema_version":"1.0","source":{"id":"0903.5230","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.5230","created_at":"2026-05-18T02:14:18Z"},{"alias_kind":"arxiv_version","alias_value":"0903.5230v4","created_at":"2026-05-18T02:14:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.5230","created_at":"2026-05-18T02:14:18Z"},{"alias_kind":"pith_short_12","alias_value":"ETWKPHPI6QUV","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"ETWKPHPI6QUVOQCU","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"ETWKPHPI","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:fd7c371bd19025bcd3fcf1ae1643e37754b93cf9d424981e4b8bae3234c34634","target":"graph","created_at":"2026-05-18T02:14:18Z","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":"In this paper we present reducible representation of the $n^{2}$ braid group representation which is constructed on the tensor product of n-dimensional spaces. By some combining methods we can construct more arbitrary $n^{2}$ dimensional braiding matrix S which satisfy the braid relations, and we get some useful braiding matrix S. By Yang-Baxteraition approach, we derive a $ 9\\times9 $ unitary $ \\breve{R}$ according to a $ 9\\times9 $ braiding S-matrix we have constructed. The entanglement properties of $ \\breve{R}$-matrix is investigated, and the arbitrary degree of entanglement for two-qutrit","authors_text":"Chengcheng Zhou, Chunfang Sun, Gangcheng Wang, Kang Xue, Qingyong Wang, Taotao Hu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-30T16:12:27Z","title":"Method of constructing braid group representation and entanglement in a Yang-Baxter sysytem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.5230","kind":"arxiv","version":4},"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":"sha256:31476bb6060ed057b5c851c7cbdb4798ac96b614aa4a350383e4bb00dde846e9","target":"record","created_at":"2026-05-18T02:14:18Z","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":"1a13d7247ea9267003a15ad6557a67aef24b6a1fc76a993974bcc3377be0a99a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2009-03-30T16:12:27Z","title_canon_sha256":"3f24e670442fd5405ebe452854746106ebf89e20d490b4eec265b62d8891068a"},"schema_version":"1.0","source":{"id":"0903.5230","kind":"arxiv","version":4}},"canonical_sha256":"24eca79de8f4295740549004c979a74171884f96407e50eb7bbccc33b0547a1f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24eca79de8f4295740549004c979a74171884f96407e50eb7bbccc33b0547a1f","first_computed_at":"2026-05-18T02:14:18.528689Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:18.528689Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XW9/JzLVS1kRPtAVx65woEyMYa0luuGWZ+ubSMTm8KMn5pyKg+mUrC4bvARSwU+m3DIJN4N7SdLp4XRTHc0pBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:18.529219Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.5230","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31476bb6060ed057b5c851c7cbdb4798ac96b614aa4a350383e4bb00dde846e9","sha256:fd7c371bd19025bcd3fcf1ae1643e37754b93cf9d424981e4b8bae3234c34634"],"state_sha256":"b8aba54582de76cdbad4899025728ebe0fb4eba28816d51b6c6eea4dc42afeae"}