{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SSJTYTUGQXDJUTOPU6ZWDEV4DC","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":"6fa4d6bbce658c4703dc834da881fad1ce33875a830682bc1692d3cf2137fa89","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-10T13:35:06Z","title_canon_sha256":"e6509c80703b158f6705f5312c3b468113cfd1da3d7ea824595e1e69d6f3b057"},"schema_version":"1.0","source":{"id":"1705.03761","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.03761","created_at":"2026-05-18T00:44:43Z"},{"alias_kind":"arxiv_version","alias_value":"1705.03761v1","created_at":"2026-05-18T00:44:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.03761","created_at":"2026-05-18T00:44:43Z"},{"alias_kind":"pith_short_12","alias_value":"SSJTYTUGQXDJ","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SSJTYTUGQXDJUTOP","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SSJTYTUG","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:2740a767bf679d2ee0211c0096a5fcca279997b74aade6f3d70bd8dca050fa0c","target":"graph","created_at":"2026-05-18T00:44:43Z","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":"Generalizations of the (rank 1) Bannai-Ito algebra are obtained from a refinement of the grade involution of the Lie super algebra $\\mathfrak{osp}(1,2)$. A hyperoctahedral extension is derived by using a realization of $\\mathfrak{osp}(1,2)$ in terms of Dunkl operators associated to the Weyl group $B_3$.","authors_text":"Luc Lapointe, Luc Vinet, Vincent X. Genest","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-10T13:35:06Z","title":"$\\mathfrak {osp}(1,2)$ and generalized Bannai-Ito algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.03761","kind":"arxiv","version":1},"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":"sha256:41fdfdad0c70c12d6543b74dee09615c6981b92021fc955c46dbfe1bf0a5094e","target":"record","created_at":"2026-05-18T00:44:43Z","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":"6fa4d6bbce658c4703dc834da881fad1ce33875a830682bc1692d3cf2137fa89","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-05-10T13:35:06Z","title_canon_sha256":"e6509c80703b158f6705f5312c3b468113cfd1da3d7ea824595e1e69d6f3b057"},"schema_version":"1.0","source":{"id":"1705.03761","kind":"arxiv","version":1}},"canonical_sha256":"94933c4e8685c69a4dcfa7b36192bc18802e0e72b76da2fd9d4bd613282320df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94933c4e8685c69a4dcfa7b36192bc18802e0e72b76da2fd9d4bd613282320df","first_computed_at":"2026-05-18T00:44:43.077975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:43.077975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mo1KnvJSI8kswj1/S+SC2RP0RVFyK+fBLjkwz70o5iZJFv02RF0kNMLzWNBUUjMvkmzXOJ2qDh5E1wk968kTAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:43.078490Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.03761","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:41fdfdad0c70c12d6543b74dee09615c6981b92021fc955c46dbfe1bf0a5094e","sha256:2740a767bf679d2ee0211c0096a5fcca279997b74aade6f3d70bd8dca050fa0c"],"state_sha256":"d78755cdda3aca99bcc4a88496dedabb67ddc3a3677526956918ddd5f5a0c373"}