{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:B4UWDPWK3CKRBNSHYL2264PVQK","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":"d1180b21ceac3567edd44fc4b2098aafa429054b7907cb9e8bbb311dfbbd4149","cross_cats_sorted":["math-ph","math.GR","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-03-06T02:33:10Z","title_canon_sha256":"03f68317db24d0873df4ad0ac7c153d299660c6c527bee2480e38b3740df58d8"},"schema_version":"1.0","source":{"id":"1003.1348","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1348","created_at":"2026-05-18T03:51:48Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1348v3","created_at":"2026-05-18T03:51:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1348","created_at":"2026-05-18T03:51:48Z"},{"alias_kind":"pith_short_12","alias_value":"B4UWDPWK3CKR","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"B4UWDPWK3CKRBNSH","created_at":"2026-05-18T12:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"B4UWDPWK","created_at":"2026-05-18T12:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:e0b60f846c9fa20a2f62b38d18d77f5d05f67cbe0e8ebb2a16641feb5d6e1c75","target":"graph","created_at":"2026-05-18T03:51:48Z","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 semidirect product of a Lie algebra and a 2-term representation up to homotopy is a Lie 2-algebra. Such Lie 2-algebras include many examples arising from the Courant algebroid appearing in generalized complex geometry. In this paper, we integrate such a Lie 2-algebra to a strict Lie 2-group in the finite dimensional case.","authors_text":"Chenchang Zhu, Yunhe Sheng","cross_cats":["math-ph","math.GR","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-03-06T02:33:10Z","title":"Integration of semidirect product Lie 2-algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1348","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:e0f48c8f5e138b174bc8e710b4fd2aa3ccdf9db321f78faaa79869265afa062a","target":"record","created_at":"2026-05-18T03:51:48Z","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":"d1180b21ceac3567edd44fc4b2098aafa429054b7907cb9e8bbb311dfbbd4149","cross_cats_sorted":["math-ph","math.GR","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-03-06T02:33:10Z","title_canon_sha256":"03f68317db24d0873df4ad0ac7c153d299660c6c527bee2480e38b3740df58d8"},"schema_version":"1.0","source":{"id":"1003.1348","kind":"arxiv","version":3}},"canonical_sha256":"0f2961becad89510b647c2f5af71f582b2e814664dbab53f8ad83b2241b13572","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0f2961becad89510b647c2f5af71f582b2e814664dbab53f8ad83b2241b13572","first_computed_at":"2026-05-18T03:51:48.931053Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:48.931053Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hr5CdCtkgLeXQnPDYBiS3dHguwy8M+KPazpZGw8lk3ydge44cuDhoeIHtNoksz6AKyUXBkcm0Vn6TGaPFPmgDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:48.931492Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1348","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0f48c8f5e138b174bc8e710b4fd2aa3ccdf9db321f78faaa79869265afa062a","sha256:e0b60f846c9fa20a2f62b38d18d77f5d05f67cbe0e8ebb2a16641feb5d6e1c75"],"state_sha256":"467ef871dcf22325278ec751100d1384a6397cda8d92ba0a6dde85204c4949c0"}