{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:27YLWHDWJR5BM465XWGY2KJVWJ","short_pith_number":"pith:27YLWHDW","schema_version":"1.0","canonical_sha256":"d7f0bb1c764c7a1673ddbd8d8d2935b251a6b95eddb7a0d2d92bc08955dfd1c4","source":{"kind":"arxiv","id":"1111.3002","version":1},"attestation_state":"computed","paper":{"title":"Evolution equations of the second and third order with Lie-B\\\"{a}cklund symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Nail H. Ibragimov","submitted_at":"2011-11-13T11:49:31Z","abstract_excerpt":"Chapter 4 of my book [1] is dedicated to Lie-B\\\"acklund group analysis of various types of differential equations. The Russian edition of this book had an Addendum (pages 262-266) containing a summary of new results (obtained by the end of 1982) on classification of evolution equations of the second and third order possessing Lie-B\\\"acklund symmetries. The \\textit{Addendum} was not included in the English translation of the book by technical reasons. I present here the missing translation. In order to make the text self-contained, I have added in the translation the equations from the main bod"},"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":"1111.3002","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-11-13T11:49:31Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"78909ef1eb6c841b2625e4e20b93ba878c2e22b7966a6d9a8573c68b28e4d098","abstract_canon_sha256":"2f1d2c1a515dd748703949d7873913a41fac52d60eff7afc40de7b5d3d9b77bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:08:23.248944Z","signature_b64":"zr3T8By459ewkgD6nBpxz2gSylLEkh+KDi1EVay7dK5T5JvzfDo837Q2KKvjN7XVyoPiimCLrNb/AbH+9RA4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7f0bb1c764c7a1673ddbd8d8d2935b251a6b95eddb7a0d2d92bc08955dfd1c4","last_reissued_at":"2026-05-18T04:08:23.248366Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:08:23.248366Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Evolution equations of the second and third order with Lie-B\\\"{a}cklund symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Nail H. Ibragimov","submitted_at":"2011-11-13T11:49:31Z","abstract_excerpt":"Chapter 4 of my book [1] is dedicated to Lie-B\\\"acklund group analysis of various types of differential equations. The Russian edition of this book had an Addendum (pages 262-266) containing a summary of new results (obtained by the end of 1982) on classification of evolution equations of the second and third order possessing Lie-B\\\"acklund symmetries. The \\textit{Addendum} was not included in the English translation of the book by technical reasons. I present here the missing translation. In order to make the text self-contained, I have added in the translation the equations from the main bod"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.3002","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":"1111.3002","created_at":"2026-05-18T04:08:23.248440+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.3002v1","created_at":"2026-05-18T04:08:23.248440+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.3002","created_at":"2026-05-18T04:08:23.248440+00:00"},{"alias_kind":"pith_short_12","alias_value":"27YLWHDWJR5B","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_16","alias_value":"27YLWHDWJR5BM465","created_at":"2026-05-18T12:26:18.847500+00:00"},{"alias_kind":"pith_short_8","alias_value":"27YLWHDW","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/27YLWHDWJR5BM465XWGY2KJVWJ","json":"https://pith.science/pith/27YLWHDWJR5BM465XWGY2KJVWJ.json","graph_json":"https://pith.science/api/pith-number/27YLWHDWJR5BM465XWGY2KJVWJ/graph.json","events_json":"https://pith.science/api/pith-number/27YLWHDWJR5BM465XWGY2KJVWJ/events.json","paper":"https://pith.science/paper/27YLWHDW"},"agent_actions":{"view_html":"https://pith.science/pith/27YLWHDWJR5BM465XWGY2KJVWJ","download_json":"https://pith.science/pith/27YLWHDWJR5BM465XWGY2KJVWJ.json","view_paper":"https://pith.science/paper/27YLWHDW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.3002&json=true","fetch_graph":"https://pith.science/api/pith-number/27YLWHDWJR5BM465XWGY2KJVWJ/graph.json","fetch_events":"https://pith.science/api/pith-number/27YLWHDWJR5BM465XWGY2KJVWJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/27YLWHDWJR5BM465XWGY2KJVWJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/27YLWHDWJR5BM465XWGY2KJVWJ/action/storage_attestation","attest_author":"https://pith.science/pith/27YLWHDWJR5BM465XWGY2KJVWJ/action/author_attestation","sign_citation":"https://pith.science/pith/27YLWHDWJR5BM465XWGY2KJVWJ/action/citation_signature","submit_replication":"https://pith.science/pith/27YLWHDWJR5BM465XWGY2KJVWJ/action/replication_record"}},"created_at":"2026-05-18T04:08:23.248440+00:00","updated_at":"2026-05-18T04:08:23.248440+00:00"}