{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JNVN2MSHTEIZI6REGHC5CEGRO4","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":"82c8bf0303e49ddfe50e9b14338653a3beb71190a83f0f8bdaa1ab849315e66c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-03-25T21:32:30Z","title_canon_sha256":"e80ebf482d69e1529f75475b2799fa1145c873f23dd1f72fdacf0dd6da3d266a"},"schema_version":"1.0","source":{"id":"1303.6318","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6318","created_at":"2026-05-18T03:29:49Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6318v1","created_at":"2026-05-18T03:29:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6318","created_at":"2026-05-18T03:29:49Z"},{"alias_kind":"pith_short_12","alias_value":"JNVN2MSHTEIZ","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JNVN2MSHTEIZI6RE","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JNVN2MSH","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:bae36d7f7c6412c69688bbef016b9c1fe6885e9ed29cd6ddd50325fc7c6cb402","target":"graph","created_at":"2026-05-18T03:29:49Z","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":"Let $R$ be a ring with pseudo-involution, $\\mathfrak L$ be an odd form parameter, $\\mathrm U(2n,\\,R,\\,\\mathfrak L)$ be an odd hyperbolic unitary group, $\\mathrm{EU}(2n,\\,R,\\,\\mathfrak L)$ be it elementary subgroup and $\\mathrm{StU}(2n,\\,R,\\,\\mathfrak L)$ be an odd unitary Steinberg group. We compute the Schur multipliers of $\\mathrm{StU}(2n,\\,R,\\,\\mathfrak L)$ and $\\mathrm{EU}(R,\\,\\mathfrak L)$.","authors_text":"Andrei Lavrenov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-03-25T21:32:30Z","title":"On odd unitary Steinberg group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6318","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":"sha256:5e281f7496658bdadf185921ef2d854ccd6f2dc714ad04039d3543b9547c0cf6","target":"record","created_at":"2026-05-18T03:29:49Z","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":"82c8bf0303e49ddfe50e9b14338653a3beb71190a83f0f8bdaa1ab849315e66c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2013-03-25T21:32:30Z","title_canon_sha256":"e80ebf482d69e1529f75475b2799fa1145c873f23dd1f72fdacf0dd6da3d266a"},"schema_version":"1.0","source":{"id":"1303.6318","kind":"arxiv","version":1}},"canonical_sha256":"4b6add32479911947a2431c5d110d1770465f3b91c3ddd750466fa2fb6a1a11c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4b6add32479911947a2431c5d110d1770465f3b91c3ddd750466fa2fb6a1a11c","first_computed_at":"2026-05-18T03:29:49.773082Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:49.773082Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YnKJ6aVX+P7sHiOM2HF2IETCPMmaKyXky0+WVr5buMYRq5KeOsC/NQylRfObxS6IpEwb6+HW8A2XCAXYhI1TBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:49.773805Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6318","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e281f7496658bdadf185921ef2d854ccd6f2dc714ad04039d3543b9547c0cf6","sha256:bae36d7f7c6412c69688bbef016b9c1fe6885e9ed29cd6ddd50325fc7c6cb402"],"state_sha256":"7d408491afeca79f9841c2e7de191ba933e102123a35b338c3fca787132f2897"}