{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:C3YRNNDPIRZOCXCHVW7SI6XINC","short_pith_number":"pith:C3YRNNDP","schema_version":"1.0","canonical_sha256":"16f116b46f4472e15c47adbf247ae8689e3c009908f0f2fb4f5177a5faa9c5eb","source":{"kind":"arxiv","id":"0808.0969","version":2},"attestation_state":"computed","paper":{"title":"On the complete integrability and linearization of nonlinear ordinary differential equations - Part V: Linearization of coupled second order equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"M. Lakshmanan, M. Senthilvelan, V. K. Chandrasekar","submitted_at":"2008-08-07T07:04:54Z","abstract_excerpt":"Linearization of coupled second order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper we describe a simple and straightforward method to derive linearizing transformations for a class of two coupled SNODEs. Our procedure gives several new types of linearizing transformations of both invertible and non-invertible kinds. In both the cases we provide algorithms to derive the general solution of the given SNODE. We illustrate the theory with potentially important examples."},"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":"0808.0969","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2008-08-07T07:04:54Z","cross_cats_sorted":[],"title_canon_sha256":"d2bcd5f49646a3bec65edacb8db1958846ab6e0ed15b09b1924a8e5af5bf5531","abstract_canon_sha256":"84312ad1e2e14c0f699df628f296c9c4229d9a5e46f0ceb89c1ac27004378671"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:15:43.847797Z","signature_b64":"s2b9nEqJHCn4ox2QGuT6mnur2UHD00FWoC8SWJZiZFkJLz1ByLwrRoNBBXtLVFiJir8EVZ/xq0wyNGJpnG1xAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16f116b46f4472e15c47adbf247ae8689e3c009908f0f2fb4f5177a5faa9c5eb","last_reissued_at":"2026-05-18T02:15:43.846997Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:15:43.846997Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the complete integrability and linearization of nonlinear ordinary differential equations - Part V: Linearization of coupled second order equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"M. Lakshmanan, M. Senthilvelan, V. K. Chandrasekar","submitted_at":"2008-08-07T07:04:54Z","abstract_excerpt":"Linearization of coupled second order nonlinear ordinary differential equations (SNODEs) is one of the open and challenging problems in the theory of differential equations. In this paper we describe a simple and straightforward method to derive linearizing transformations for a class of two coupled SNODEs. Our procedure gives several new types of linearizing transformations of both invertible and non-invertible kinds. In both the cases we provide algorithms to derive the general solution of the given SNODE. We illustrate the theory with potentially important examples."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.0969","kind":"arxiv","version":2},"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":"0808.0969","created_at":"2026-05-18T02:15:43.847116+00:00"},{"alias_kind":"arxiv_version","alias_value":"0808.0969v2","created_at":"2026-05-18T02:15:43.847116+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.0969","created_at":"2026-05-18T02:15:43.847116+00:00"},{"alias_kind":"pith_short_12","alias_value":"C3YRNNDPIRZO","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_16","alias_value":"C3YRNNDPIRZOCXCH","created_at":"2026-05-18T12:25:57.157939+00:00"},{"alias_kind":"pith_short_8","alias_value":"C3YRNNDP","created_at":"2026-05-18T12:25:57.157939+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/C3YRNNDPIRZOCXCHVW7SI6XINC","json":"https://pith.science/pith/C3YRNNDPIRZOCXCHVW7SI6XINC.json","graph_json":"https://pith.science/api/pith-number/C3YRNNDPIRZOCXCHVW7SI6XINC/graph.json","events_json":"https://pith.science/api/pith-number/C3YRNNDPIRZOCXCHVW7SI6XINC/events.json","paper":"https://pith.science/paper/C3YRNNDP"},"agent_actions":{"view_html":"https://pith.science/pith/C3YRNNDPIRZOCXCHVW7SI6XINC","download_json":"https://pith.science/pith/C3YRNNDPIRZOCXCHVW7SI6XINC.json","view_paper":"https://pith.science/paper/C3YRNNDP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0808.0969&json=true","fetch_graph":"https://pith.science/api/pith-number/C3YRNNDPIRZOCXCHVW7SI6XINC/graph.json","fetch_events":"https://pith.science/api/pith-number/C3YRNNDPIRZOCXCHVW7SI6XINC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/C3YRNNDPIRZOCXCHVW7SI6XINC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/C3YRNNDPIRZOCXCHVW7SI6XINC/action/storage_attestation","attest_author":"https://pith.science/pith/C3YRNNDPIRZOCXCHVW7SI6XINC/action/author_attestation","sign_citation":"https://pith.science/pith/C3YRNNDPIRZOCXCHVW7SI6XINC/action/citation_signature","submit_replication":"https://pith.science/pith/C3YRNNDPIRZOCXCHVW7SI6XINC/action/replication_record"}},"created_at":"2026-05-18T02:15:43.847116+00:00","updated_at":"2026-05-18T02:15:43.847116+00:00"}