{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:5KSYSOFGPS7RIJE5DEIL5XVA6P","short_pith_number":"pith:5KSYSOFG","schema_version":"1.0","canonical_sha256":"eaa58938a67cbf14249d1910bedea0f3c763cf94e8f3130f9a157a306edc453e","source":{"kind":"arxiv","id":"1402.7226","version":1},"attestation_state":"computed","paper":{"title":"Crossed modules for Lie 2-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RA","authors_text":"Honglei Lang, Zhangju Liu","submitted_at":"2014-02-28T12:49:01Z","abstract_excerpt":"The notion of crossed modules for Lie 2-algebras is introduced. We show that, associated to such a crossed module, there is a strict Lie 3-algebra structure on its mapping cone complex and a strict Lie 2-algebra structure on its derivations. Finally, we classify strong crossed modules by means of the third cohomology group of Lie 2-algebras."},"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":"1402.7226","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-02-28T12:49:01Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"87bd7e0ebfd3bc7f8a07be6352e3dc7ef9d41f250a2ca4b5e19a18d29542ed14","abstract_canon_sha256":"07f88db430d6f79126211dad28cbfadebc3af125c501aefadf4aae4c08453615"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:34.615039Z","signature_b64":"oaGhetNKQt2wGE0xrwC9AUzdHiYJ83wkpfYteVQ46hDRJ3ADH9DXqrvA9qLxyJpbAzTMjW8SNZjVYZFEHTYaCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eaa58938a67cbf14249d1910bedea0f3c763cf94e8f3130f9a157a306edc453e","last_reissued_at":"2026-05-18T02:57:34.614422Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:34.614422Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Crossed modules for Lie 2-algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.RA","authors_text":"Honglei Lang, Zhangju Liu","submitted_at":"2014-02-28T12:49:01Z","abstract_excerpt":"The notion of crossed modules for Lie 2-algebras is introduced. We show that, associated to such a crossed module, there is a strict Lie 3-algebra structure on its mapping cone complex and a strict Lie 2-algebra structure on its derivations. Finally, we classify strong crossed modules by means of the third cohomology group of Lie 2-algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.7226","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":"1402.7226","created_at":"2026-05-18T02:57:34.614509+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.7226v1","created_at":"2026-05-18T02:57:34.614509+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.7226","created_at":"2026-05-18T02:57:34.614509+00:00"},{"alias_kind":"pith_short_12","alias_value":"5KSYSOFGPS7R","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_16","alias_value":"5KSYSOFGPS7RIJE5","created_at":"2026-05-18T12:28:14.216126+00:00"},{"alias_kind":"pith_short_8","alias_value":"5KSYSOFG","created_at":"2026-05-18T12:28:14.216126+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/5KSYSOFGPS7RIJE5DEIL5XVA6P","json":"https://pith.science/pith/5KSYSOFGPS7RIJE5DEIL5XVA6P.json","graph_json":"https://pith.science/api/pith-number/5KSYSOFGPS7RIJE5DEIL5XVA6P/graph.json","events_json":"https://pith.science/api/pith-number/5KSYSOFGPS7RIJE5DEIL5XVA6P/events.json","paper":"https://pith.science/paper/5KSYSOFG"},"agent_actions":{"view_html":"https://pith.science/pith/5KSYSOFGPS7RIJE5DEIL5XVA6P","download_json":"https://pith.science/pith/5KSYSOFGPS7RIJE5DEIL5XVA6P.json","view_paper":"https://pith.science/paper/5KSYSOFG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.7226&json=true","fetch_graph":"https://pith.science/api/pith-number/5KSYSOFGPS7RIJE5DEIL5XVA6P/graph.json","fetch_events":"https://pith.science/api/pith-number/5KSYSOFGPS7RIJE5DEIL5XVA6P/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5KSYSOFGPS7RIJE5DEIL5XVA6P/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5KSYSOFGPS7RIJE5DEIL5XVA6P/action/storage_attestation","attest_author":"https://pith.science/pith/5KSYSOFGPS7RIJE5DEIL5XVA6P/action/author_attestation","sign_citation":"https://pith.science/pith/5KSYSOFGPS7RIJE5DEIL5XVA6P/action/citation_signature","submit_replication":"https://pith.science/pith/5KSYSOFGPS7RIJE5DEIL5XVA6P/action/replication_record"}},"created_at":"2026-05-18T02:57:34.614509+00:00","updated_at":"2026-05-18T02:57:34.614509+00:00"}