{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DLD7435P6XMAQZPLP4NBUI7CT3","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":"6855910744858bf0ad351d82ac5d90ef2836aa3a80385c12d4dce806c0a8b9d8","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-01T17:17:55Z","title_canon_sha256":"ddad899192e9d621a2cc4236285c823e181331a4eb41f87aa7791b0b2fe27a7c"},"schema_version":"1.0","source":{"id":"0912.0209","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0912.0209","created_at":"2026-05-18T02:34:02Z"},{"alias_kind":"arxiv_version","alias_value":"0912.0209v2","created_at":"2026-05-18T02:34:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.0209","created_at":"2026-05-18T02:34:02Z"},{"alias_kind":"pith_short_12","alias_value":"DLD7435P6XMA","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DLD7435P6XMAQZPL","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DLD7435P","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:d23f4d778261910f4ff2bd74609d654e9f320b2b1906d7a553da8de5089f7fff","target":"graph","created_at":"2026-05-18T02:34:02Z","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 centrally extended su(2|2) superalgebra is an asymptotic symmetry of the light-cone string sigma model on AdS5 x S5. We consider an evaluation representation of the conventional Yangian built over a particular 16-dimensional long representation of the centrally extended su(2|2). Interestingly, we find that S-matrices compatible with this evaluation representation do not exist. On the other hand, by requiring centrally extended su(2|2) invariance and explicitly solving the Yang-Baxter equation, we find a scattering matrix for long-short representations of the Lie superalgebra. We notice tha","authors_text":"Alessandro Torrielli, Gleb Arutyunov, Marius de Leeuw","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-01T17:17:55Z","title":"On Yangian and Long Representations of the Centrally Extended su(2|2) Superalgebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.0209","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":"sha256:4ee35a8545f0fe37cbc60423328e1329134dd1d01f1830cf2c7d7a611f24b455","target":"record","created_at":"2026-05-18T02:34:02Z","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":"6855910744858bf0ad351d82ac5d90ef2836aa3a80385c12d4dce806c0a8b9d8","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-12-01T17:17:55Z","title_canon_sha256":"ddad899192e9d621a2cc4236285c823e181331a4eb41f87aa7791b0b2fe27a7c"},"schema_version":"1.0","source":{"id":"0912.0209","kind":"arxiv","version":2}},"canonical_sha256":"1ac7fe6faff5d80865eb7f1a1a23e29ec3ff4fda364af2f95a35debaab7faeca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ac7fe6faff5d80865eb7f1a1a23e29ec3ff4fda364af2f95a35debaab7faeca","first_computed_at":"2026-05-18T02:34:02.799533Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:02.799533Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qhk10NnNxDbmNhcfEWRY6Qh54QoPyE9r+iEBcDZvtxfNNeeeTM6NQFp348oYbMMlg5z4XDEg37RoP6HLw9iNAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:02.800205Z","signed_message":"canonical_sha256_bytes"},"source_id":"0912.0209","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4ee35a8545f0fe37cbc60423328e1329134dd1d01f1830cf2c7d7a611f24b455","sha256:d23f4d778261910f4ff2bd74609d654e9f320b2b1906d7a553da8de5089f7fff"],"state_sha256":"9ce56b535480ee0f87362d1c43ba497fb05ca60c4e7e248fa858cd5e7cc23289"}