{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:M2PMISWH7ZGIMARY7YRQYIKFK2","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":"a2d9bcb7d2eca295df45257680fb58b0153e128a45e447afe8603678d87b8f1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2008-05-30T01:37:51Z","title_canon_sha256":"d41f3fb1c0cc813c34ded4f777631aa55c2ecb3b343951d7583e0c01cfd031d1"},"schema_version":"1.0","source":{"id":"0805.4653","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0805.4653","created_at":"2026-05-18T02:15:52Z"},{"alias_kind":"arxiv_version","alias_value":"0805.4653v1","created_at":"2026-05-18T02:15:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0805.4653","created_at":"2026-05-18T02:15:52Z"},{"alias_kind":"pith_short_12","alias_value":"M2PMISWH7ZGI","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"M2PMISWH7ZGIMARY","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"M2PMISWH","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:7d9fc8788e2ac06462786c2d47d5805b4dc428a47d9e4f8d247693aa12fbebfe","target":"graph","created_at":"2026-05-18T02:15:52Z","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 give a detailed classification scheme for three-dimensional quantum zero curvature representation and tetrahedron equations. This scheme includes both even and odd parity components, the resulting algebras of observables are either Bose q-oscillators or Fermi oscillators. Three-dimensional $R$-matrices intertwining variously oriented tensor products of Bose and Fermi oscillators and satisfying tetrahedron and super-tetrahedron equations are derived. The 3d->2d compactification reproduces U_q(gl(n|m)) super-algebras and their representation theory.","authors_text":"S. M. Sergeev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2008-05-30T01:37:51Z","title":"Super-tetrahedra and super-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0805.4653","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":"sha256:625968ceac356cac1ffe8111e77e6de0ae770353c9c32cd81f55a5fda4ce5f33","target":"record","created_at":"2026-05-18T02:15:52Z","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":"a2d9bcb7d2eca295df45257680fb58b0153e128a45e447afe8603678d87b8f1e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2008-05-30T01:37:51Z","title_canon_sha256":"d41f3fb1c0cc813c34ded4f777631aa55c2ecb3b343951d7583e0c01cfd031d1"},"schema_version":"1.0","source":{"id":"0805.4653","kind":"arxiv","version":1}},"canonical_sha256":"669ec44ac7fe4c860238fe230c2145568dba9ea31c55e9947100ae94b34df71a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"669ec44ac7fe4c860238fe230c2145568dba9ea31c55e9947100ae94b34df71a","first_computed_at":"2026-05-18T02:15:52.144411Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:52.144411Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"L6QTSc1C6PD0HgWpO+F7VGaJ+/PJvOpbNxZwZixn2YtlNQsmfWL2V/H20J33FQLdDdSrtkw1fRSCKQkO0cvhCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:52.144890Z","signed_message":"canonical_sha256_bytes"},"source_id":"0805.4653","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:625968ceac356cac1ffe8111e77e6de0ae770353c9c32cd81f55a5fda4ce5f33","sha256:7d9fc8788e2ac06462786c2d47d5805b4dc428a47d9e4f8d247693aa12fbebfe"],"state_sha256":"3f31879d57c1989a663228038b9283eca2eeb6858dbf929bb0b742b260e247ae"}