{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:Y2RACRVYEKBPPFFZHXP2WWKJFK","short_pith_number":"pith:Y2RACRVY","schema_version":"1.0","canonical_sha256":"c6a20146b82282f794b93ddfab59492a8083e8e59eaadb129e021a50b25cb6f8","source":{"kind":"arxiv","id":"1401.0982","version":1},"attestation_state":"computed","paper":{"title":"Backlund transformations for Burgers Equation via localization of residual symmetries","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":"2014-01-06T04:41:00Z","abstract_excerpt":"In this paper, we obtained the non-local residual symmetry related to truncated Painlev\\'e expansion of Burgers equation. In order to localize the residual symmetry, we introduced new variables to prolong the original Burgers equation into a new system. By using Lie's first theorem, we got the finite transformation for the localized residual symmetry. More importantly, we also localized the linear superposition of multiple residual symmetries to find the corresponding finite transformations. It is interesting to find that the nth Backlund transformation for Burgers equation can be expressed b"},"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":"1401.0982","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2014-01-06T04:41:00Z","cross_cats_sorted":[],"title_canon_sha256":"c5f3ebb003037b0fa744fd5190f767e04416ad1216ab9a9d1c8234f39cee5732","abstract_canon_sha256":"292f95da7df1663fce46d8ec074f1907b7b1b6c3208e7b9e8ff0ab1728bb7a1e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:53.230396Z","signature_b64":"dPezAm6YvzypR4pZfHTapUROXKHyoHp7HoXCdZmTAHVljWsQyJ8c4zR5gmGOguYnRrzstHPK9WZfHvkINIHFCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6a20146b82282f794b93ddfab59492a8083e8e59eaadb129e021a50b25cb6f8","last_reissued_at":"2026-05-18T00:56:53.229904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:53.229904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Backlund transformations for Burgers Equation via localization of residual symmetries","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":"2014-01-06T04:41:00Z","abstract_excerpt":"In this paper, we obtained the non-local residual symmetry related to truncated Painlev\\'e expansion of Burgers equation. In order to localize the residual symmetry, we introduced new variables to prolong the original Burgers equation into a new system. By using Lie's first theorem, we got the finite transformation for the localized residual symmetry. More importantly, we also localized the linear superposition of multiple residual symmetries to find the corresponding finite transformations. It is interesting to find that the nth Backlund transformation for Burgers equation can be expressed b"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.0982","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":"1401.0982","created_at":"2026-05-18T00:56:53.229982+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.0982v1","created_at":"2026-05-18T00:56:53.229982+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.0982","created_at":"2026-05-18T00:56:53.229982+00:00"},{"alias_kind":"pith_short_12","alias_value":"Y2RACRVYEKBP","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"Y2RACRVYEKBPPFFZ","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"Y2RACRVY","created_at":"2026-05-18T12:28:57.508820+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/Y2RACRVYEKBPPFFZHXP2WWKJFK","json":"https://pith.science/pith/Y2RACRVYEKBPPFFZHXP2WWKJFK.json","graph_json":"https://pith.science/api/pith-number/Y2RACRVYEKBPPFFZHXP2WWKJFK/graph.json","events_json":"https://pith.science/api/pith-number/Y2RACRVYEKBPPFFZHXP2WWKJFK/events.json","paper":"https://pith.science/paper/Y2RACRVY"},"agent_actions":{"view_html":"https://pith.science/pith/Y2RACRVYEKBPPFFZHXP2WWKJFK","download_json":"https://pith.science/pith/Y2RACRVYEKBPPFFZHXP2WWKJFK.json","view_paper":"https://pith.science/paper/Y2RACRVY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.0982&json=true","fetch_graph":"https://pith.science/api/pith-number/Y2RACRVYEKBPPFFZHXP2WWKJFK/graph.json","fetch_events":"https://pith.science/api/pith-number/Y2RACRVYEKBPPFFZHXP2WWKJFK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/Y2RACRVYEKBPPFFZHXP2WWKJFK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/Y2RACRVYEKBPPFFZHXP2WWKJFK/action/storage_attestation","attest_author":"https://pith.science/pith/Y2RACRVYEKBPPFFZHXP2WWKJFK/action/author_attestation","sign_citation":"https://pith.science/pith/Y2RACRVYEKBPPFFZHXP2WWKJFK/action/citation_signature","submit_replication":"https://pith.science/pith/Y2RACRVYEKBPPFFZHXP2WWKJFK/action/replication_record"}},"created_at":"2026-05-18T00:56:53.229982+00:00","updated_at":"2026-05-18T00:56:53.229982+00:00"}