{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:SPUUGV4ZF3ODPC2AFCNAQOBNVV","short_pith_number":"pith:SPUUGV4Z","schema_version":"1.0","canonical_sha256":"93e94357992edc378b40289a08382dad448a0f65b6323302afc5c5caf28b3007","source":{"kind":"arxiv","id":"1310.0155","version":1},"attestation_state":"computed","paper":{"title":"Residual Symmetry Reductions and Interaction Solutions of (2+1)-Dimensional Burgers Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Bo Ren, Jun Yu, Xi-zhong Liu","submitted_at":"2013-10-01T06:39:28Z","abstract_excerpt":"The (2+1)-dimensional Burgers equation has been investigated first from prospective of symmetry by localizing the nonlocal residual symmetries and then studied by a simple generalized tanh expansion method. New symmetry reduction solutions has been obtained by using the standard Lie point symmetry group approach. A new B\\\"{a}klund transformation for Burgers equation has been given with the generalized tanh expansion method . From this BT, interactive solutions among different nonlinear excitations which is hard to obtain by other methods has also been obtained easily."},"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":"1310.0155","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2013-10-01T06:39:28Z","cross_cats_sorted":[],"title_canon_sha256":"11f8e4fde620c2b64dc6ad417191042e5e9bdfb7b5e938552fbd425f8582c795","abstract_canon_sha256":"fdf9e1f242149c710d67b1422c4d9fb181c0b977f29cd3c4fd01b6424a4a09c2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:11:45.371871Z","signature_b64":"NEO77pozf8fvpeYWBoxhzA4xXJlJnVGwkHO3dMOG56v+B3nY5nINefNZIXBZTB9rJpfgWVTUVR2xjpphI2lNAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93e94357992edc378b40289a08382dad448a0f65b6323302afc5c5caf28b3007","last_reissued_at":"2026-05-18T03:11:45.371140Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:11:45.371140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Residual Symmetry Reductions and Interaction Solutions of (2+1)-Dimensional Burgers Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"Bo Ren, Jun Yu, Xi-zhong Liu","submitted_at":"2013-10-01T06:39:28Z","abstract_excerpt":"The (2+1)-dimensional Burgers equation has been investigated first from prospective of symmetry by localizing the nonlocal residual symmetries and then studied by a simple generalized tanh expansion method. New symmetry reduction solutions has been obtained by using the standard Lie point symmetry group approach. A new B\\\"{a}klund transformation for Burgers equation has been given with the generalized tanh expansion method . From this BT, interactive solutions among different nonlinear excitations which is hard to obtain by other methods has also been obtained easily."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0155","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":"1310.0155","created_at":"2026-05-18T03:11:45.371264+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.0155v1","created_at":"2026-05-18T03:11:45.371264+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.0155","created_at":"2026-05-18T03:11:45.371264+00:00"},{"alias_kind":"pith_short_12","alias_value":"SPUUGV4ZF3OD","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"SPUUGV4ZF3ODPC2A","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"SPUUGV4Z","created_at":"2026-05-18T12:27:59.945178+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/SPUUGV4ZF3ODPC2AFCNAQOBNVV","json":"https://pith.science/pith/SPUUGV4ZF3ODPC2AFCNAQOBNVV.json","graph_json":"https://pith.science/api/pith-number/SPUUGV4ZF3ODPC2AFCNAQOBNVV/graph.json","events_json":"https://pith.science/api/pith-number/SPUUGV4ZF3ODPC2AFCNAQOBNVV/events.json","paper":"https://pith.science/paper/SPUUGV4Z"},"agent_actions":{"view_html":"https://pith.science/pith/SPUUGV4ZF3ODPC2AFCNAQOBNVV","download_json":"https://pith.science/pith/SPUUGV4ZF3ODPC2AFCNAQOBNVV.json","view_paper":"https://pith.science/paper/SPUUGV4Z","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.0155&json=true","fetch_graph":"https://pith.science/api/pith-number/SPUUGV4ZF3ODPC2AFCNAQOBNVV/graph.json","fetch_events":"https://pith.science/api/pith-number/SPUUGV4ZF3ODPC2AFCNAQOBNVV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SPUUGV4ZF3ODPC2AFCNAQOBNVV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SPUUGV4ZF3ODPC2AFCNAQOBNVV/action/storage_attestation","attest_author":"https://pith.science/pith/SPUUGV4ZF3ODPC2AFCNAQOBNVV/action/author_attestation","sign_citation":"https://pith.science/pith/SPUUGV4ZF3ODPC2AFCNAQOBNVV/action/citation_signature","submit_replication":"https://pith.science/pith/SPUUGV4ZF3ODPC2AFCNAQOBNVV/action/replication_record"}},"created_at":"2026-05-18T03:11:45.371264+00:00","updated_at":"2026-05-18T03:11:45.371264+00:00"}