{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:32MRFBVTTO43452FGAMNALG3D4","short_pith_number":"pith:32MRFBVT","schema_version":"1.0","canonical_sha256":"de991286b39bb9be77453018d02cdb1f17f51625c062f8b70650dba150765dce","source":{"kind":"arxiv","id":"1106.2563","version":1},"attestation_state":"computed","paper":{"title":"Various aspects of differential equations having a complete set of independent first integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"N. Sadovskaia, R. Ram\\'irez","submitted_at":"2011-06-13T21:11:07Z","abstract_excerpt":"In this paper we study the differential equations in $D\\subseteq \\R^{2N}$ having a complete set of independent first integrals. In particular we study the case when the first integrals are \\[f_\\nu=(Ax_\\nu+By_\\nu)^2+\\displaystyle\\sum_{j=1}^{N}\\dfrac{(x_\\nu y_j-x_jy_\\nu)^2}{a_\\nu-a_j},\\]for $\\nu=1,...,N,$ where $A,B$ and $a_1<a_2...<a_N$ are constants."},"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":"1106.2563","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2011-06-13T21:11:07Z","cross_cats_sorted":[],"title_canon_sha256":"2e38dc38a78ef369db2112568344e98b6f3f62aa241b8b8aa179c0a4136d83f3","abstract_canon_sha256":"013e3dd34555305db1720c17ada5d3dc381367604153f53935b479c1d182e5ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:05.398442Z","signature_b64":"/jA4bNUUjxRhGRoRuqbmCiTMTIqYB38u792b28VLq0uNqA7Lpy7WqbW2CqaMjUvmZ6V884Pw1a2K8gFkZqAkDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"de991286b39bb9be77453018d02cdb1f17f51625c062f8b70650dba150765dce","last_reissued_at":"2026-05-18T04:20:05.397822Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:05.397822Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Various aspects of differential equations having a complete set of independent first integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"N. Sadovskaia, R. Ram\\'irez","submitted_at":"2011-06-13T21:11:07Z","abstract_excerpt":"In this paper we study the differential equations in $D\\subseteq \\R^{2N}$ having a complete set of independent first integrals. In particular we study the case when the first integrals are \\[f_\\nu=(Ax_\\nu+By_\\nu)^2+\\displaystyle\\sum_{j=1}^{N}\\dfrac{(x_\\nu y_j-x_jy_\\nu)^2}{a_\\nu-a_j},\\]for $\\nu=1,...,N,$ where $A,B$ and $a_1<a_2...<a_N$ are constants."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.2563","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":"1106.2563","created_at":"2026-05-18T04:20:05.397923+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.2563v1","created_at":"2026-05-18T04:20:05.397923+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.2563","created_at":"2026-05-18T04:20:05.397923+00:00"},{"alias_kind":"pith_short_12","alias_value":"32MRFBVTTO43","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"32MRFBVTTO43452F","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"32MRFBVT","created_at":"2026-05-18T12:26:18.847500+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/32MRFBVTTO43452FGAMNALG3D4","json":"https://pith.science/pith/32MRFBVTTO43452FGAMNALG3D4.json","graph_json":"https://pith.science/api/pith-number/32MRFBVTTO43452FGAMNALG3D4/graph.json","events_json":"https://pith.science/api/pith-number/32MRFBVTTO43452FGAMNALG3D4/events.json","paper":"https://pith.science/paper/32MRFBVT"},"agent_actions":{"view_html":"https://pith.science/pith/32MRFBVTTO43452FGAMNALG3D4","download_json":"https://pith.science/pith/32MRFBVTTO43452FGAMNALG3D4.json","view_paper":"https://pith.science/paper/32MRFBVT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.2563&json=true","fetch_graph":"https://pith.science/api/pith-number/32MRFBVTTO43452FGAMNALG3D4/graph.json","fetch_events":"https://pith.science/api/pith-number/32MRFBVTTO43452FGAMNALG3D4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/32MRFBVTTO43452FGAMNALG3D4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/32MRFBVTTO43452FGAMNALG3D4/action/storage_attestation","attest_author":"https://pith.science/pith/32MRFBVTTO43452FGAMNALG3D4/action/author_attestation","sign_citation":"https://pith.science/pith/32MRFBVTTO43452FGAMNALG3D4/action/citation_signature","submit_replication":"https://pith.science/pith/32MRFBVTTO43452FGAMNALG3D4/action/replication_record"}},"created_at":"2026-05-18T04:20:05.397923+00:00","updated_at":"2026-05-18T04:20:05.397923+00:00"}