{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:MKRAZGPZLNAQLBQD5NJ77UXKUU","short_pith_number":"pith:MKRAZGPZ","schema_version":"1.0","canonical_sha256":"62a20c99f95b41058603eb53ffd2eaa50b21fff79124e21729b79a4cd4260f38","source":{"kind":"arxiv","id":"1105.4858","version":3},"attestation_state":"computed","paper":{"title":"Reduction of Poisson-Nijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with nondegenerate Nijenhuis tensor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SG"],"primary_cat":"math.DG","authors_text":"Antonio De Nicola, Edith Padron, Juan Carlos Marrero","submitted_at":"2011-05-24T19:17:09Z","abstract_excerpt":"We show how to reduce, under certain regularities conditions, a Poisson-Nijenhuis Lie algebroid to a symplectic-Nijenhuis Lie algebroid with nondegenerate Nijenhuis tensor. We generalize the work done by Magri and Morosi for the reduction of Poisson-Nijenhuis manifolds. The choice of the more general framework of Lie algebroids is motivated by the geometrical study of some reduced bi-Hamiltonian systems. An explicit example of reduction of a Poisson-Nijenhuis Lie algebroid is also provided."},"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":"1105.4858","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-05-24T19:17:09Z","cross_cats_sorted":["math-ph","math.MP","math.SG"],"title_canon_sha256":"34c3e54f5107939845d4c719357eeba88a69261d0dca7dbf3b948852ba8dee37","abstract_canon_sha256":"9bc6ebd162c4f32c1c0eafa78861f91104fa00c64c97a1fcbb1320fdbb7c9139"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:11:41.665428Z","signature_b64":"RYpB9YCWfQ2cqlUHJSL+WBHXZ9b7SHbZyJqisIdzytmpD/wQIkMgV5NJ1rNAzr/LXFR8HTQRn14wmzytQucPAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62a20c99f95b41058603eb53ffd2eaa50b21fff79124e21729b79a4cd4260f38","last_reissued_at":"2026-05-18T04:11:41.664984Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:11:41.664984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reduction of Poisson-Nijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with nondegenerate Nijenhuis tensor","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","math.SG"],"primary_cat":"math.DG","authors_text":"Antonio De Nicola, Edith Padron, Juan Carlos Marrero","submitted_at":"2011-05-24T19:17:09Z","abstract_excerpt":"We show how to reduce, under certain regularities conditions, a Poisson-Nijenhuis Lie algebroid to a symplectic-Nijenhuis Lie algebroid with nondegenerate Nijenhuis tensor. We generalize the work done by Magri and Morosi for the reduction of Poisson-Nijenhuis manifolds. The choice of the more general framework of Lie algebroids is motivated by the geometrical study of some reduced bi-Hamiltonian systems. An explicit example of reduction of a Poisson-Nijenhuis Lie algebroid is also provided."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4858","kind":"arxiv","version":3},"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":"1105.4858","created_at":"2026-05-18T04:11:41.665049+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.4858v3","created_at":"2026-05-18T04:11:41.665049+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4858","created_at":"2026-05-18T04:11:41.665049+00:00"},{"alias_kind":"pith_short_12","alias_value":"MKRAZGPZLNAQ","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"MKRAZGPZLNAQLBQD","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"MKRAZGPZ","created_at":"2026-05-18T12:26:34.985390+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/MKRAZGPZLNAQLBQD5NJ77UXKUU","json":"https://pith.science/pith/MKRAZGPZLNAQLBQD5NJ77UXKUU.json","graph_json":"https://pith.science/api/pith-number/MKRAZGPZLNAQLBQD5NJ77UXKUU/graph.json","events_json":"https://pith.science/api/pith-number/MKRAZGPZLNAQLBQD5NJ77UXKUU/events.json","paper":"https://pith.science/paper/MKRAZGPZ"},"agent_actions":{"view_html":"https://pith.science/pith/MKRAZGPZLNAQLBQD5NJ77UXKUU","download_json":"https://pith.science/pith/MKRAZGPZLNAQLBQD5NJ77UXKUU.json","view_paper":"https://pith.science/paper/MKRAZGPZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.4858&json=true","fetch_graph":"https://pith.science/api/pith-number/MKRAZGPZLNAQLBQD5NJ77UXKUU/graph.json","fetch_events":"https://pith.science/api/pith-number/MKRAZGPZLNAQLBQD5NJ77UXKUU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MKRAZGPZLNAQLBQD5NJ77UXKUU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MKRAZGPZLNAQLBQD5NJ77UXKUU/action/storage_attestation","attest_author":"https://pith.science/pith/MKRAZGPZLNAQLBQD5NJ77UXKUU/action/author_attestation","sign_citation":"https://pith.science/pith/MKRAZGPZLNAQLBQD5NJ77UXKUU/action/citation_signature","submit_replication":"https://pith.science/pith/MKRAZGPZLNAQLBQD5NJ77UXKUU/action/replication_record"}},"created_at":"2026-05-18T04:11:41.665049+00:00","updated_at":"2026-05-18T04:11:41.665049+00:00"}