{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:6JF3HTL7ITYBTM4GV4EDWQXIRC","short_pith_number":"pith:6JF3HTL7","schema_version":"1.0","canonical_sha256":"f24bb3cd7f44f019b386af083b42e888a492c5aa15d4cfd1b7851c9c74262078","source":{"kind":"arxiv","id":"1011.4265","version":1},"attestation_state":"computed","paper":{"title":"Be careful with the Exp-function method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Nadejda B. Loguinova, Nikolay A. Kudryashov","submitted_at":"2010-11-18T19:48:57Z","abstract_excerpt":"An application of the Exp-function method to search for exact solutions of nonlinear differential equations is analyzed. Typical mistakes of application of the Exp-function method are demonstrated. We show it is often required to simplify the exact solutions obtained. Possibilities of the Exp-function method and other approaches in mathematical physics are discussed. The application of the singular manifold method for finding exact solutions of the Fitzhugh - Nagumo equation is illustrated. The modified simple equation method is introduced. This approach is used to look for exact solutions of "},"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":"1011.4265","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2010-11-18T19:48:57Z","cross_cats_sorted":[],"title_canon_sha256":"05f8de0224258e7f34f395d0bbda956e979bf7652e58a3e0c333b1750bd02517","abstract_canon_sha256":"324af41369187285f8d79f5582f7d2476bc806cfe31e50351e69e00b4a55a523"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:36.151834Z","signature_b64":"2BDnPfrNI0xL5PsMW+a9E0q1WP+YZyHAw8pHn38gzq1YzX9PZKSdru9NCPMCwEsGrL5a4+AH93lpet3wVxoMAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f24bb3cd7f44f019b386af083b42e888a492c5aa15d4cfd1b7851c9c74262078","last_reissued_at":"2026-05-18T04:35:36.151163Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:36.151163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Be careful with the Exp-function method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Nadejda B. Loguinova, Nikolay A. Kudryashov","submitted_at":"2010-11-18T19:48:57Z","abstract_excerpt":"An application of the Exp-function method to search for exact solutions of nonlinear differential equations is analyzed. Typical mistakes of application of the Exp-function method are demonstrated. We show it is often required to simplify the exact solutions obtained. Possibilities of the Exp-function method and other approaches in mathematical physics are discussed. The application of the singular manifold method for finding exact solutions of the Fitzhugh - Nagumo equation is illustrated. The modified simple equation method is introduced. This approach is used to look for exact solutions of "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1011.4265","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":"1011.4265","created_at":"2026-05-18T04:35:36.151261+00:00"},{"alias_kind":"arxiv_version","alias_value":"1011.4265v1","created_at":"2026-05-18T04:35:36.151261+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1011.4265","created_at":"2026-05-18T04:35:36.151261+00:00"},{"alias_kind":"pith_short_12","alias_value":"6JF3HTL7ITYB","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_16","alias_value":"6JF3HTL7ITYBTM4G","created_at":"2026-05-18T12:26:04.259169+00:00"},{"alias_kind":"pith_short_8","alias_value":"6JF3HTL7","created_at":"2026-05-18T12:26:04.259169+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/6JF3HTL7ITYBTM4GV4EDWQXIRC","json":"https://pith.science/pith/6JF3HTL7ITYBTM4GV4EDWQXIRC.json","graph_json":"https://pith.science/api/pith-number/6JF3HTL7ITYBTM4GV4EDWQXIRC/graph.json","events_json":"https://pith.science/api/pith-number/6JF3HTL7ITYBTM4GV4EDWQXIRC/events.json","paper":"https://pith.science/paper/6JF3HTL7"},"agent_actions":{"view_html":"https://pith.science/pith/6JF3HTL7ITYBTM4GV4EDWQXIRC","download_json":"https://pith.science/pith/6JF3HTL7ITYBTM4GV4EDWQXIRC.json","view_paper":"https://pith.science/paper/6JF3HTL7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1011.4265&json=true","fetch_graph":"https://pith.science/api/pith-number/6JF3HTL7ITYBTM4GV4EDWQXIRC/graph.json","fetch_events":"https://pith.science/api/pith-number/6JF3HTL7ITYBTM4GV4EDWQXIRC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6JF3HTL7ITYBTM4GV4EDWQXIRC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6JF3HTL7ITYBTM4GV4EDWQXIRC/action/storage_attestation","attest_author":"https://pith.science/pith/6JF3HTL7ITYBTM4GV4EDWQXIRC/action/author_attestation","sign_citation":"https://pith.science/pith/6JF3HTL7ITYBTM4GV4EDWQXIRC/action/citation_signature","submit_replication":"https://pith.science/pith/6JF3HTL7ITYBTM4GV4EDWQXIRC/action/replication_record"}},"created_at":"2026-05-18T04:35:36.151261+00:00","updated_at":"2026-05-18T04:35:36.151261+00:00"}