{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:XNCWWSWDUZCBMIJGVQVC66BGZH","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":"9c4eea7745e3eb6ce75d75fd838e84ec0addad8ed037cb9e0ac44b8bd07cda98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-04-21T08:19:44Z","title_canon_sha256":"853273e19c1241eb992735bc4b3f959926ca24226c74a5caa2ca845ca411ca9b"},"schema_version":"1.0","source":{"id":"1004.3646","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3646","created_at":"2026-05-18T04:18:04Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3646v4","created_at":"2026-05-18T04:18:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3646","created_at":"2026-05-18T04:18:04Z"},{"alias_kind":"pith_short_12","alias_value":"XNCWWSWDUZCB","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_16","alias_value":"XNCWWSWDUZCBMIJG","created_at":"2026-05-18T12:26:17Z"},{"alias_kind":"pith_short_8","alias_value":"XNCWWSWD","created_at":"2026-05-18T12:26:17Z"}],"graph_snapshots":[{"event_id":"sha256:c82f1b35484d924d5d5be17b20491920b1ce5eb72ce4eca2c784659bde81be75","target":"graph","created_at":"2026-05-18T04:18:04Z","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 use the general quantization method by Drinfel'd twists to quantize the Schr\\\"odinger-Virasoro Lie algebra whose Lie bialgebra structures were recently discovered by Han-Li-Su. We give two different kinds of Drinfel'd twists, which are then used to construct the corresponding\n  Hopf algebraic structrues. Our results extend the class of examples of noncommutative and noncocommutative Hopf algebras.","authors_text":"Lamei Yuan, Yucai Su","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-04-21T08:19:44Z","title":"Quantization of Schr\\\"odinger-Virasoro Lie algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3646","kind":"arxiv","version":4},"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:e309f912d6e27e91aa572e4f935a8f0b782a9ac9c6c84f30c6ccf816ebc7eb1c","target":"record","created_at":"2026-05-18T04:18:04Z","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":"9c4eea7745e3eb6ce75d75fd838e84ec0addad8ed037cb9e0ac44b8bd07cda98","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2010-04-21T08:19:44Z","title_canon_sha256":"853273e19c1241eb992735bc4b3f959926ca24226c74a5caa2ca845ca411ca9b"},"schema_version":"1.0","source":{"id":"1004.3646","kind":"arxiv","version":4}},"canonical_sha256":"bb456b4ac3a644162126ac2a2f7826c9c0af54a1d3b75ba6033ad7ac1dac4e1a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb456b4ac3a644162126ac2a2f7826c9c0af54a1d3b75ba6033ad7ac1dac4e1a","first_computed_at":"2026-05-18T04:18:04.695758Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:18:04.695758Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V0M3GJDu6BK5AddjClCzStn6/phgy67RKGUrIeTeod1u6m3jQHuw5EFs4nVh4COs6gI+IuLojJoSkLinvzaWAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:18:04.696463Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.3646","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e309f912d6e27e91aa572e4f935a8f0b782a9ac9c6c84f30c6ccf816ebc7eb1c","sha256:c82f1b35484d924d5d5be17b20491920b1ce5eb72ce4eca2c784659bde81be75"],"state_sha256":"f79a868c15eb6c0b1fde7c0fc7ee77fe9ec208183e448d9cb5d14a9766989e09"}