{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:TKX3643GKWO7HFWNLDCPVAPKJH","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":"7cb40aa5d06033499539fd9ebf2a729d8eb9783dba49eb422b636ffea177b28d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-05-14T09:17:33Z","title_canon_sha256":"a5928e6a5500da082df92e55f4aa17da957086dfd9e35c97a7c1f8020dce6d34"},"schema_version":"1.0","source":{"id":"1405.3420","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.3420","created_at":"2026-05-18T02:20:59Z"},{"alias_kind":"arxiv_version","alias_value":"1405.3420v2","created_at":"2026-05-18T02:20:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3420","created_at":"2026-05-18T02:20:59Z"},{"alias_kind":"pith_short_12","alias_value":"TKX3643GKWO7","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"TKX3643GKWO7HFWN","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"TKX3643G","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:1ec210b8b07162a92018c821d1b1bbb77931d6f9e44646d895034b7ed1cd69cc","target":"graph","created_at":"2026-05-18T02:20:59Z","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":"The symmetries provided by representations of the centrally extended Lie superalgebra $\\mathfrak{psl}(2|2)$ are known to play an important role in the spin chain models originated in the planar anti-de Sitter/conformal field theory correspondence and one-dimensional Hubbard model. We give a complete description of finite-dimensional irreducible representations of this superalgebra thus extending the work of Beisert which deals with a generic family of representations. Our description includes a new class of modules with degenerate eigenvalues of the central elements. Moreover, we construct exp","authors_text":"Alexander Molev, Takuya Matsumoto","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-05-14T09:17:33Z","title":"Representations of centrally extended Lie superalgebra $\\mathfrak{psl}(2|2)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3420","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":"sha256:6bb0a645ee2f1c6440e984ae194b6662b21a9795e1d4c09108ad60deb5e400bc","target":"record","created_at":"2026-05-18T02:20:59Z","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":"7cb40aa5d06033499539fd9ebf2a729d8eb9783dba49eb422b636ffea177b28d","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2014-05-14T09:17:33Z","title_canon_sha256":"a5928e6a5500da082df92e55f4aa17da957086dfd9e35c97a7c1f8020dce6d34"},"schema_version":"1.0","source":{"id":"1405.3420","kind":"arxiv","version":2}},"canonical_sha256":"9aafbf7366559df396cd58c4fa81ea49ff3dfe538cbdf66db94d482f1cdbf535","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9aafbf7366559df396cd58c4fa81ea49ff3dfe538cbdf66db94d482f1cdbf535","first_computed_at":"2026-05-18T02:20:59.402428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:20:59.402428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XQO8toMVYcwqEokcqxGXi84TUjPx/xmPZoV5CJqp8AguI+T4Alz5hv2c8XRFZxqyXU5VY02V4pZHhzZTWDRgAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:20:59.403020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.3420","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bb0a645ee2f1c6440e984ae194b6662b21a9795e1d4c09108ad60deb5e400bc","sha256:1ec210b8b07162a92018c821d1b1bbb77931d6f9e44646d895034b7ed1cd69cc"],"state_sha256":"bce630e32622e45a4332c8262e5c6df08a18ed3bea92a2970b968d34219ae311"}