{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IKFIUOVUOUH2HSD65QLMNBH7BA","short_pith_number":"pith:IKFIUOVU","schema_version":"1.0","canonical_sha256":"428a8a3ab4750fa3c87eec16c684ff0836cafdd80db04d012872efdc7d4cf817","source":{"kind":"arxiv","id":"1811.04842","version":1},"attestation_state":"computed","paper":{"title":"On LA-Courant algebroids and Poisson Lie 2-algebroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Madeleine Jotz Lean","submitted_at":"2018-11-12T16:40:14Z","abstract_excerpt":"This paper provides an alternative, much simpler, definition for Li-Bland's LA-Courant algebroids, or Poisson Lie 2-algebroids, in terms of split Lie 2-algebroids and self-dual 2-representations. This definition generalises in a precise sense the characterisation of (decomposed) double Lie algebroids via matched pairs of 2-representations. We use the known geometric examples of LA-Courant algebroids in order to provide new examples of Poisson Lie 2-algebroids, and we explain in this general context Roytenberg's equivalence of Courant algebroids with symplectic Lie 2-algebroids. We study furthe"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1811.04842","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-11-12T16:40:14Z","cross_cats_sorted":[],"title_canon_sha256":"19d97ce8c38f700e1a8200472550b4339e7c6eda8a27963c8b51446e99722777","abstract_canon_sha256":"0251a2288af0f3ec407cf05c1de8f93f8460772db87b8deb78fe6e43ed11a828"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:02.297533Z","signature_b64":"GFwryqB/Rlyaq6xhdBvQ3Y6mNSciO0GDnmHcUrKk3oOC0/9ZNkZO2OKkevnSo91Q39ibQ+fn6V8xsJaNHkrbBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"428a8a3ab4750fa3c87eec16c684ff0836cafdd80db04d012872efdc7d4cf817","last_reissued_at":"2026-05-18T00:01:02.296842Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:02.296842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On LA-Courant algebroids and Poisson Lie 2-algebroids","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Madeleine Jotz Lean","submitted_at":"2018-11-12T16:40:14Z","abstract_excerpt":"This paper provides an alternative, much simpler, definition for Li-Bland's LA-Courant algebroids, or Poisson Lie 2-algebroids, in terms of split Lie 2-algebroids and self-dual 2-representations. This definition generalises in a precise sense the characterisation of (decomposed) double Lie algebroids via matched pairs of 2-representations. We use the known geometric examples of LA-Courant algebroids in order to provide new examples of Poisson Lie 2-algebroids, and we explain in this general context Roytenberg's equivalence of Courant algebroids with symplectic Lie 2-algebroids. We study furthe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.04842","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1811.04842","created_at":"2026-05-18T00:01:02.296955+00:00"},{"alias_kind":"arxiv_version","alias_value":"1811.04842v1","created_at":"2026-05-18T00:01:02.296955+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.04842","created_at":"2026-05-18T00:01:02.296955+00:00"},{"alias_kind":"pith_short_12","alias_value":"IKFIUOVUOUH2","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"IKFIUOVUOUH2HSD6","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"IKFIUOVU","created_at":"2026-05-18T12:32:31.084164+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IKFIUOVUOUH2HSD65QLMNBH7BA","json":"https://pith.science/pith/IKFIUOVUOUH2HSD65QLMNBH7BA.json","graph_json":"https://pith.science/api/pith-number/IKFIUOVUOUH2HSD65QLMNBH7BA/graph.json","events_json":"https://pith.science/api/pith-number/IKFIUOVUOUH2HSD65QLMNBH7BA/events.json","paper":"https://pith.science/paper/IKFIUOVU"},"agent_actions":{"view_html":"https://pith.science/pith/IKFIUOVUOUH2HSD65QLMNBH7BA","download_json":"https://pith.science/pith/IKFIUOVUOUH2HSD65QLMNBH7BA.json","view_paper":"https://pith.science/paper/IKFIUOVU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1811.04842&json=true","fetch_graph":"https://pith.science/api/pith-number/IKFIUOVUOUH2HSD65QLMNBH7BA/graph.json","fetch_events":"https://pith.science/api/pith-number/IKFIUOVUOUH2HSD65QLMNBH7BA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IKFIUOVUOUH2HSD65QLMNBH7BA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IKFIUOVUOUH2HSD65QLMNBH7BA/action/storage_attestation","attest_author":"https://pith.science/pith/IKFIUOVUOUH2HSD65QLMNBH7BA/action/author_attestation","sign_citation":"https://pith.science/pith/IKFIUOVUOUH2HSD65QLMNBH7BA/action/citation_signature","submit_replication":"https://pith.science/pith/IKFIUOVUOUH2HSD65QLMNBH7BA/action/replication_record"}},"created_at":"2026-05-18T00:01:02.296955+00:00","updated_at":"2026-05-18T00:01:02.296955+00:00"}