{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:QKSPSSD65XBNAGLCTC7CFKHQNF","short_pith_number":"pith:QKSPSSD6","schema_version":"1.0","canonical_sha256":"82a4f9487eedc2d0196298be22a8f069695893122e5976fae0ff18590e8ce6c3","source":{"kind":"arxiv","id":"0906.5141","version":1},"attestation_state":"computed","paper":{"title":"The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"I.A. Taimanov, S.P. Tsarev","submitted_at":"2009-06-28T15:28:58Z","abstract_excerpt":"We consider the Moutard transformation which is a two-dimensional version of the well-known Darboux transformation. We give an algebraic interpretation of the Moutard transformation as a conjugation in an appropriate ring and the corresponding version of the algebro-geometric formalism for two-dimensional Schroedinger operators. An application to some problems of the spectral theory of two-dimensional Schroedinger operators and to the $(2+1)$-dimensional Novikov--Veselov equation is sketched."},"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":"0906.5141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2009-06-28T15:28:58Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"5544600f3980343083fe126d5ce051a61f8177f2bf9cbfc629c27da34f462c4f","abstract_canon_sha256":"c766109b92a9cc8879ade5e13494f4cf0e4812207aa8f52541d6d88358da32ab"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:22.111610Z","signature_b64":"9uHPcJybrEeSofYv+9XKhED9AKWVJ36dS/mZlCtqmYR681yqWp4TFq4257YKg8o0C8j3wSi4C3EZaoAk3cgKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82a4f9487eedc2d0196298be22a8f069695893122e5976fae0ff18590e8ce6c3","last_reissued_at":"2026-05-18T04:42:22.110958Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:22.110958Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"I.A. Taimanov, S.P. Tsarev","submitted_at":"2009-06-28T15:28:58Z","abstract_excerpt":"We consider the Moutard transformation which is a two-dimensional version of the well-known Darboux transformation. We give an algebraic interpretation of the Moutard transformation as a conjugation in an appropriate ring and the corresponding version of the algebro-geometric formalism for two-dimensional Schroedinger operators. An application to some problems of the spectral theory of two-dimensional Schroedinger operators and to the $(2+1)$-dimensional Novikov--Veselov equation is sketched."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.5141","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":"0906.5141","created_at":"2026-05-18T04:42:22.111053+00:00"},{"alias_kind":"arxiv_version","alias_value":"0906.5141v1","created_at":"2026-05-18T04:42:22.111053+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.5141","created_at":"2026-05-18T04:42:22.111053+00:00"},{"alias_kind":"pith_short_12","alias_value":"QKSPSSD65XBN","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QKSPSSD65XBNAGLC","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QKSPSSD6","created_at":"2026-05-18T12:26:01.383474+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/QKSPSSD65XBNAGLCTC7CFKHQNF","json":"https://pith.science/pith/QKSPSSD65XBNAGLCTC7CFKHQNF.json","graph_json":"https://pith.science/api/pith-number/QKSPSSD65XBNAGLCTC7CFKHQNF/graph.json","events_json":"https://pith.science/api/pith-number/QKSPSSD65XBNAGLCTC7CFKHQNF/events.json","paper":"https://pith.science/paper/QKSPSSD6"},"agent_actions":{"view_html":"https://pith.science/pith/QKSPSSD65XBNAGLCTC7CFKHQNF","download_json":"https://pith.science/pith/QKSPSSD65XBNAGLCTC7CFKHQNF.json","view_paper":"https://pith.science/paper/QKSPSSD6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0906.5141&json=true","fetch_graph":"https://pith.science/api/pith-number/QKSPSSD65XBNAGLCTC7CFKHQNF/graph.json","fetch_events":"https://pith.science/api/pith-number/QKSPSSD65XBNAGLCTC7CFKHQNF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QKSPSSD65XBNAGLCTC7CFKHQNF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QKSPSSD65XBNAGLCTC7CFKHQNF/action/storage_attestation","attest_author":"https://pith.science/pith/QKSPSSD65XBNAGLCTC7CFKHQNF/action/author_attestation","sign_citation":"https://pith.science/pith/QKSPSSD65XBNAGLCTC7CFKHQNF/action/citation_signature","submit_replication":"https://pith.science/pith/QKSPSSD65XBNAGLCTC7CFKHQNF/action/replication_record"}},"created_at":"2026-05-18T04:42:22.111053+00:00","updated_at":"2026-05-18T04:42:22.111053+00:00"}