{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:J6BZDSVNFEBAJVFGFIKZHXUY5K","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":"06ee891f67000974ed1030d0e1b622dd118c1541db9a33bbd4c5a021ead05a58","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-02T03:34:26Z","title_canon_sha256":"8816a39b1fb84037603443e4606c512cb4980617f8d23d170140371b5e962326"},"schema_version":"1.0","source":{"id":"1404.0443","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.0443","created_at":"2026-05-18T01:20:17Z"},{"alias_kind":"arxiv_version","alias_value":"1404.0443v2","created_at":"2026-05-18T01:20:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.0443","created_at":"2026-05-18T01:20:17Z"},{"alias_kind":"pith_short_12","alias_value":"J6BZDSVNFEBA","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"J6BZDSVNFEBAJVFG","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"J6BZDSVN","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:b13f5f890b54bb5040b28678fa08f5cd6c3e26bd44e1d1d39b70f54942de9a8b","target":"graph","created_at":"2026-05-18T01:20:17Z","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 introduce a new family of superalgebras, the quantum walled Brauer-Clifford superalgebras ${\\mathsf {BC}}_{r,s}(q)$. The superalgebra ${\\mathsf {BC}}_{r,s}(q)$ is a quantum deformation of the walled Brauer-Clifford superalgebra ${\\mathsf {BC}}_{r,s}$ and a super version of the quantum walled Brauer algebra. We prove that ${\\mathsf {BC}}_{r,s}(q)$ is the centralizer superalgebra of the action of ${\\mathfrak U}_{q}({\\mathfrak q}(n))$ on the mixed tensor space $\\mathbf{V}_{q}^{r,s}=\\mathbf{V}_{q}^{\\otimes r} \\otimes (\\mathbf{V}_q^*)^{\\otimes s}$ when $n \\ge r+s$, where ${\\mathbf V}_{q}=\\mathbb","authors_text":"Georgia Benkart, Ji Hye Jung, Nicolas Guay, Seok-Jin Kang, Stewart Wilcox","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-02T03:34:26Z","title":"Quantum walled Brauer-Clifford superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.0443","kind":"arxiv","version":2},"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":"sha256:4c41cd3bb515d37a63f2e63ad86786764f4a852315046b1d17508f21854af58a","target":"record","created_at":"2026-05-18T01:20:17Z","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":"06ee891f67000974ed1030d0e1b622dd118c1541db9a33bbd4c5a021ead05a58","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-04-02T03:34:26Z","title_canon_sha256":"8816a39b1fb84037603443e4606c512cb4980617f8d23d170140371b5e962326"},"schema_version":"1.0","source":{"id":"1404.0443","kind":"arxiv","version":2}},"canonical_sha256":"4f8391caad290204d4a62a1593de98eab8f223aaf4d41b7bb9bda2e5d07cc26f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4f8391caad290204d4a62a1593de98eab8f223aaf4d41b7bb9bda2e5d07cc26f","first_computed_at":"2026-05-18T01:20:17.786282Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:17.786282Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lQVVcRtv5Eoe7D4v9m3OoArk+t4Ws268NEXIEvO6NSTDaQUH4d3w52GDuZAhkpDj1MdrmYj0I6L+UsAzVTMzBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:17.787130Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.0443","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4c41cd3bb515d37a63f2e63ad86786764f4a852315046b1d17508f21854af58a","sha256:b13f5f890b54bb5040b28678fa08f5cd6c3e26bd44e1d1d39b70f54942de9a8b"],"state_sha256":"574646616dac48623de815e4dbc95831e0930c669f437e5ba65bd10605937bf4"}