{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ZYZJSMHAY4DK5VWLUJFNTI5IJR","short_pith_number":"pith:ZYZJSMHA","schema_version":"1.0","canonical_sha256":"ce329930e0c706aed6cba24ad9a3a84c6fc71838538ddf2f0e2c3f9a66afd25e","source":{"kind":"arxiv","id":"1308.5965","version":1},"attestation_state":"computed","paper":{"title":"On the Solution of the Van der Pol Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Mayer Humi","submitted_at":"2013-08-27T19:59:02Z","abstract_excerpt":"We linearize and solve the Van der Pol equation (with additional nonlinear terms) by the application of a generalized form of Cole-Hopf transformation. We classify also Lienard equations with low order polynomial coefficients which can be linearized by this transformation."},"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":"1308.5965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-08-27T19:59:02Z","cross_cats_sorted":["math.MP","nlin.SI"],"title_canon_sha256":"99ddca5d757271ce335c296df8bb768c4f59bdaf1b1cd73f192a5ec459772eeb","abstract_canon_sha256":"34a64aa09ae16f5da0464a7bafc5dfb5dc016eab8c125fae1ea565c28ef06c8e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:14:50.633341Z","signature_b64":"KnLSQ2u43V5eeO9iysxOTLQ+hj0RxnFuHAWJfJbvGux737984tgU0e29oQETasg7lWwuqoEQWKJGURgfHXpgAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce329930e0c706aed6cba24ad9a3a84c6fc71838538ddf2f0e2c3f9a66afd25e","last_reissued_at":"2026-05-18T03:14:50.632497Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:14:50.632497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Solution of the Van der Pol Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI"],"primary_cat":"math-ph","authors_text":"Mayer Humi","submitted_at":"2013-08-27T19:59:02Z","abstract_excerpt":"We linearize and solve the Van der Pol equation (with additional nonlinear terms) by the application of a generalized form of Cole-Hopf transformation. We classify also Lienard equations with low order polynomial coefficients which can be linearized by this transformation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.5965","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":"1308.5965","created_at":"2026-05-18T03:14:50.632634+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.5965v1","created_at":"2026-05-18T03:14:50.632634+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.5965","created_at":"2026-05-18T03:14:50.632634+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZYZJSMHAY4DK","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZYZJSMHAY4DK5VWL","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZYZJSMHA","created_at":"2026-05-18T12:28:09.283467+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/ZYZJSMHAY4DK5VWLUJFNTI5IJR","json":"https://pith.science/pith/ZYZJSMHAY4DK5VWLUJFNTI5IJR.json","graph_json":"https://pith.science/api/pith-number/ZYZJSMHAY4DK5VWLUJFNTI5IJR/graph.json","events_json":"https://pith.science/api/pith-number/ZYZJSMHAY4DK5VWLUJFNTI5IJR/events.json","paper":"https://pith.science/paper/ZYZJSMHA"},"agent_actions":{"view_html":"https://pith.science/pith/ZYZJSMHAY4DK5VWLUJFNTI5IJR","download_json":"https://pith.science/pith/ZYZJSMHAY4DK5VWLUJFNTI5IJR.json","view_paper":"https://pith.science/paper/ZYZJSMHA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.5965&json=true","fetch_graph":"https://pith.science/api/pith-number/ZYZJSMHAY4DK5VWLUJFNTI5IJR/graph.json","fetch_events":"https://pith.science/api/pith-number/ZYZJSMHAY4DK5VWLUJFNTI5IJR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZYZJSMHAY4DK5VWLUJFNTI5IJR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZYZJSMHAY4DK5VWLUJFNTI5IJR/action/storage_attestation","attest_author":"https://pith.science/pith/ZYZJSMHAY4DK5VWLUJFNTI5IJR/action/author_attestation","sign_citation":"https://pith.science/pith/ZYZJSMHAY4DK5VWLUJFNTI5IJR/action/citation_signature","submit_replication":"https://pith.science/pith/ZYZJSMHAY4DK5VWLUJFNTI5IJR/action/replication_record"}},"created_at":"2026-05-18T03:14:50.632634+00:00","updated_at":"2026-05-18T03:14:50.632634+00:00"}