{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UO572BMXC4DNUKOPGI7NH3YMFU","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":"dd89b21572aa41630029aaa7f41d85ac411af7b143a4f8b7c0cf6d6c93e417eb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-11-10T20:53:38Z","title_canon_sha256":"ba2d7d0c11b8484269ebf2016d3e1e7df9556def67a87760cdf5b12768cc102d"},"schema_version":"1.0","source":{"id":"1611.03487","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.03487","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"arxiv_version","alias_value":"1611.03487v1","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.03487","created_at":"2026-05-18T00:59:35Z"},{"alias_kind":"pith_short_12","alias_value":"UO572BMXC4DN","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UO572BMXC4DNUKOP","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UO572BMX","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:9ebf135de72b12c8acbfd81ae21eadd045dd9aa26cdba86e1a028f4ce26d903b","target":"graph","created_at":"2026-05-18T00:59:35Z","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":"We prove that the family of non-linear $W$-algebras $SW(3/2,2)$ which are extensions of the $N=1$ superconformal algebra by a primary supercurrent of conformal weight $2$ can be realized as a quantum Hamiltonian reduction of the Lie superalgebra $osp(3|2)$. In consequence we obtain an explicit free field realization of the algebra in terms of the screening operators. At central charge $c=12$ the $SW(3/2,2)$ superconformal algebra corresponds to the superconformal algebra associated to sigma models based on eight-dimensional manifolds with special holonomy $Spin(7)$, i.e., the Shatashvili-Vafa ","authors_text":"L\\'azaro O. Rodr\\'iguez D\\'iaz","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-11-10T20:53:38Z","title":"The $SW(3/2,2)$ superconformal algebra via a Quantum Hamiltonian Reduction of $osp(3|2)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.03487","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":"sha256:7be04255365f8222cb6b86af0292af61553a3e3b81e12127842520a31e77a4fd","target":"record","created_at":"2026-05-18T00:59:35Z","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":"dd89b21572aa41630029aaa7f41d85ac411af7b143a4f8b7c0cf6d6c93e417eb","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2016-11-10T20:53:38Z","title_canon_sha256":"ba2d7d0c11b8484269ebf2016d3e1e7df9556def67a87760cdf5b12768cc102d"},"schema_version":"1.0","source":{"id":"1611.03487","kind":"arxiv","version":1}},"canonical_sha256":"a3bbfd05971706da29cf323ed3ef0c2d2f2ee5a99ac146f505a12ac63229e8b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a3bbfd05971706da29cf323ed3ef0c2d2f2ee5a99ac146f505a12ac63229e8b2","first_computed_at":"2026-05-18T00:59:35.132203Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:35.132203Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"D5xMQCMPropfP6+ZMqib42Eu0KmisBvDVIeZL1wFznkbhOwtrYAK4HX2Kv4WvFxUFqalSlPGFgqp38QxySnBAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:35.132742Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.03487","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7be04255365f8222cb6b86af0292af61553a3e3b81e12127842520a31e77a4fd","sha256:9ebf135de72b12c8acbfd81ae21eadd045dd9aa26cdba86e1a028f4ce26d903b"],"state_sha256":"c5b4e4ffc3bee79333076316b030af90da9550915d1577afad519b43118de131"}