{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CODS3KXSIKRBAF5FVOMK7ASMF7","short_pith_number":"pith:CODS3KXS","schema_version":"1.0","canonical_sha256":"13872daaf242a21017a5ab98af824c2ff568330601a6c87d30775eb75f64ccdb","source":{"kind":"arxiv","id":"1508.05921","version":1},"attestation_state":"computed","paper":{"title":"Reduction of dimension for nonlinear dynamical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Heather A. Harrington, Robert A. Van Gorder","submitted_at":"2015-08-24T19:29:03Z","abstract_excerpt":"We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some cases, one can reduce a nonlinear system of equations into a single equation for one of the state variables, and this can be useful for computing the solution when using a variety of analytical approaches. In the case where this reduction is possible, we employ differential elimination to obtain the reduced system. While analytical, the approach is algorithmic, and is implemented in symbolic software such as {\\sc MAPLE} or {\\sc SageMath}. In other cases, the reduction cannot be performed strictly in"},"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":"1508.05921","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2015-08-24T19:29:03Z","cross_cats_sorted":[],"title_canon_sha256":"601df400719702f2c8ca167e141eb2dc22ee9e58ae449194a2872299e56b0a60","abstract_canon_sha256":"3174d3789104be8b8d4af7293dfd543bb439a52515d5a95f93d49064217390a6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:51.410125Z","signature_b64":"wm0pgFmYKPy6GLW5yHNW/VcI/o2zdyecTiMQBCsGbX812CCvCg8dXOU1yk3aO6O54HDC9qhaP+cnOuV/KE7xDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"13872daaf242a21017a5ab98af824c2ff568330601a6c87d30775eb75f64ccdb","last_reissued_at":"2026-05-18T01:34:51.409584Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:51.409584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reduction of dimension for nonlinear dynamical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Heather A. Harrington, Robert A. Van Gorder","submitted_at":"2015-08-24T19:29:03Z","abstract_excerpt":"We consider reduction of dimension for nonlinear dynamical systems. We demonstrate that in some cases, one can reduce a nonlinear system of equations into a single equation for one of the state variables, and this can be useful for computing the solution when using a variety of analytical approaches. In the case where this reduction is possible, we employ differential elimination to obtain the reduced system. While analytical, the approach is algorithmic, and is implemented in symbolic software such as {\\sc MAPLE} or {\\sc SageMath}. In other cases, the reduction cannot be performed strictly in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.05921","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":"1508.05921","created_at":"2026-05-18T01:34:51.409690+00:00"},{"alias_kind":"arxiv_version","alias_value":"1508.05921v1","created_at":"2026-05-18T01:34:51.409690+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.05921","created_at":"2026-05-18T01:34:51.409690+00:00"},{"alias_kind":"pith_short_12","alias_value":"CODS3KXSIKRB","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"CODS3KXSIKRBAF5F","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"CODS3KXS","created_at":"2026-05-18T12:29:17.054201+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/CODS3KXSIKRBAF5FVOMK7ASMF7","json":"https://pith.science/pith/CODS3KXSIKRBAF5FVOMK7ASMF7.json","graph_json":"https://pith.science/api/pith-number/CODS3KXSIKRBAF5FVOMK7ASMF7/graph.json","events_json":"https://pith.science/api/pith-number/CODS3KXSIKRBAF5FVOMK7ASMF7/events.json","paper":"https://pith.science/paper/CODS3KXS"},"agent_actions":{"view_html":"https://pith.science/pith/CODS3KXSIKRBAF5FVOMK7ASMF7","download_json":"https://pith.science/pith/CODS3KXSIKRBAF5FVOMK7ASMF7.json","view_paper":"https://pith.science/paper/CODS3KXS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1508.05921&json=true","fetch_graph":"https://pith.science/api/pith-number/CODS3KXSIKRBAF5FVOMK7ASMF7/graph.json","fetch_events":"https://pith.science/api/pith-number/CODS3KXSIKRBAF5FVOMK7ASMF7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CODS3KXSIKRBAF5FVOMK7ASMF7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CODS3KXSIKRBAF5FVOMK7ASMF7/action/storage_attestation","attest_author":"https://pith.science/pith/CODS3KXSIKRBAF5FVOMK7ASMF7/action/author_attestation","sign_citation":"https://pith.science/pith/CODS3KXSIKRBAF5FVOMK7ASMF7/action/citation_signature","submit_replication":"https://pith.science/pith/CODS3KXSIKRBAF5FVOMK7ASMF7/action/replication_record"}},"created_at":"2026-05-18T01:34:51.409690+00:00","updated_at":"2026-05-18T01:34:51.409690+00:00"}