{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:2NN3E4Q6UYNLGOQBDPTSTRRM26","short_pith_number":"pith:2NN3E4Q6","schema_version":"1.0","canonical_sha256":"d35bb2721ea61ab33a011be729c62cd7bf75e6f7afb27b81735f188361ca40d5","source":{"kind":"arxiv","id":"0904.0901","version":1},"attestation_state":"computed","paper":{"title":"On Non-Commutative Integrable Burgers Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"A. Karasu, M. Gurses, R. Turhan","submitted_at":"2009-04-06T10:26:24Z","abstract_excerpt":"We construct the recursion operators for the non-commutative Burgers equations using their Lax operators. We investigate the existence of any integrable mixed version of left- and right-handed Burgers equations on higher symmetry grounds."},"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":"0904.0901","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.SI","submitted_at":"2009-04-06T10:26:24Z","cross_cats_sorted":[],"title_canon_sha256":"30fd80aa71292be2d17dc74046140d6cc9bf38b467786660339905440e37854d","abstract_canon_sha256":"2182cd80ad92c1c42e53e9f49a2cfc884db7282122f3bb265c59b024f48ba001"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:07.309826Z","signature_b64":"591dnT07GT2bkE1MkntuB+itcqtBUeA1tDeOk0z22ktdHdSGuoPfJexAEhAqsnYcX5YbnbOd+VyxUQyPSebKDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d35bb2721ea61ab33a011be729c62cd7bf75e6f7afb27b81735f188361ca40d5","last_reissued_at":"2026-05-18T02:14:07.309166Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:07.309166Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Non-Commutative Integrable Burgers Equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"A. Karasu, M. Gurses, R. Turhan","submitted_at":"2009-04-06T10:26:24Z","abstract_excerpt":"We construct the recursion operators for the non-commutative Burgers equations using their Lax operators. We investigate the existence of any integrable mixed version of left- and right-handed Burgers equations on higher symmetry grounds."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.0901","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":"0904.0901","created_at":"2026-05-18T02:14:07.309259+00:00"},{"alias_kind":"arxiv_version","alias_value":"0904.0901v1","created_at":"2026-05-18T02:14:07.309259+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.0901","created_at":"2026-05-18T02:14:07.309259+00:00"},{"alias_kind":"pith_short_12","alias_value":"2NN3E4Q6UYNL","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_16","alias_value":"2NN3E4Q6UYNLGOQB","created_at":"2026-05-18T12:25:58.018023+00:00"},{"alias_kind":"pith_short_8","alias_value":"2NN3E4Q6","created_at":"2026-05-18T12:25:58.018023+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/2NN3E4Q6UYNLGOQBDPTSTRRM26","json":"https://pith.science/pith/2NN3E4Q6UYNLGOQBDPTSTRRM26.json","graph_json":"https://pith.science/api/pith-number/2NN3E4Q6UYNLGOQBDPTSTRRM26/graph.json","events_json":"https://pith.science/api/pith-number/2NN3E4Q6UYNLGOQBDPTSTRRM26/events.json","paper":"https://pith.science/paper/2NN3E4Q6"},"agent_actions":{"view_html":"https://pith.science/pith/2NN3E4Q6UYNLGOQBDPTSTRRM26","download_json":"https://pith.science/pith/2NN3E4Q6UYNLGOQBDPTSTRRM26.json","view_paper":"https://pith.science/paper/2NN3E4Q6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0904.0901&json=true","fetch_graph":"https://pith.science/api/pith-number/2NN3E4Q6UYNLGOQBDPTSTRRM26/graph.json","fetch_events":"https://pith.science/api/pith-number/2NN3E4Q6UYNLGOQBDPTSTRRM26/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2NN3E4Q6UYNLGOQBDPTSTRRM26/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2NN3E4Q6UYNLGOQBDPTSTRRM26/action/storage_attestation","attest_author":"https://pith.science/pith/2NN3E4Q6UYNLGOQBDPTSTRRM26/action/author_attestation","sign_citation":"https://pith.science/pith/2NN3E4Q6UYNLGOQBDPTSTRRM26/action/citation_signature","submit_replication":"https://pith.science/pith/2NN3E4Q6UYNLGOQBDPTSTRRM26/action/replication_record"}},"created_at":"2026-05-18T02:14:07.309259+00:00","updated_at":"2026-05-18T02:14:07.309259+00:00"}