{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:X4QDGKBUNYASU224PLJC7RNGHB","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":"8bf54a5359d89b35a7c100bf68025300008b94153956a246f7bbb28a8af2a9b6","cross_cats_sorted":["hep-th","math.AG","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-10-16T16:17:21Z","title_canon_sha256":"8fc9263be34c5f1c6cf61e82c2890b3309d208eb3fdedd90ca75cec2977301b0"},"schema_version":"1.0","source":{"id":"1310.4432","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4432","created_at":"2026-05-18T01:36:22Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4432v3","created_at":"2026-05-18T01:36:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4432","created_at":"2026-05-18T01:36:22Z"},{"alias_kind":"pith_short_12","alias_value":"X4QDGKBUNYAS","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_16","alias_value":"X4QDGKBUNYASU224","created_at":"2026-05-18T12:28:06Z"},{"alias_kind":"pith_short_8","alias_value":"X4QDGKBU","created_at":"2026-05-18T12:28:06Z"}],"graph_snapshots":[{"event_id":"sha256:55bb0e76bc8f8ca22c03b2a45067c9fdad01019d3240b5a240d05e42dc73f7dd","target":"graph","created_at":"2026-05-18T01:36:22Z","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 introduce symplectic structures on \"Lie pairs\" of (real or complex) algebroids as studied by Chen, Stienon and the second author (From Atiyah classes to homotopy Leibniz algebras, arXiv:1204.1075), encompassing homogeneous symplectic spaces, symplectic manifolds with a $\\mathfrak g$-action and holomorphic symplectic manifolds. We show that to each such symplectic Lie pair are associated Rozansky-Witten-type invariants of three-manifolds and knots, given respectively by weight systems on trivalent and chord diagrams.","authors_text":"Ping Xu, Yannick Voglaire","cross_cats":["hep-th","math.AG","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-10-16T16:17:21Z","title":"Rozansky-Witten-type invariants from symplectic Lie pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4432","kind":"arxiv","version":3},"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:c119d946871205ab054ed1d722c36163e6092b5037e6e5381eefa58c41a76f6c","target":"record","created_at":"2026-05-18T01:36:22Z","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":"8bf54a5359d89b35a7c100bf68025300008b94153956a246f7bbb28a8af2a9b6","cross_cats_sorted":["hep-th","math.AG","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-10-16T16:17:21Z","title_canon_sha256":"8fc9263be34c5f1c6cf61e82c2890b3309d208eb3fdedd90ca75cec2977301b0"},"schema_version":"1.0","source":{"id":"1310.4432","kind":"arxiv","version":3}},"canonical_sha256":"bf203328346e012a6b5c7ad22fc5a6386bca2a47c638dcede7b3899844cfa45e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bf203328346e012a6b5c7ad22fc5a6386bca2a47c638dcede7b3899844cfa45e","first_computed_at":"2026-05-18T01:36:22.316614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:22.316614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aq1xJ4PGJC1pTf52x7ekeLMJzrsOusGdfQV8sIARmPmmByYJskrtR96Ii5d7reWCjT30r24DbvZOjin/2ZCgAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:22.317154Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4432","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c119d946871205ab054ed1d722c36163e6092b5037e6e5381eefa58c41a76f6c","sha256:55bb0e76bc8f8ca22c03b2a45067c9fdad01019d3240b5a240d05e42dc73f7dd"],"state_sha256":"2b01fdadb3302869d11889197bb84b4495fe5c69baad865334fe1ed1f100b668"}