{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:XEPL2WKD547S2PVG2PVGA7SRX6","short_pith_number":"pith:XEPL2WKD","schema_version":"1.0","canonical_sha256":"b91ebd5943ef3f2d3ea6d3ea607e51bf9f1813f5871471c7cb7b463689d0a619","source":{"kind":"arxiv","id":"1101.3208","version":3},"attestation_state":"computed","paper":{"title":"Cartan equivalence problem for third order differential operators","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mehdi Nadjafikhah, Rohollah Bakhshandeh-Chamazkoti","submitted_at":"2011-01-17T13:46:30Z","abstract_excerpt":"This article is dedicated to solve the equivalence problem for two third order differential operators on the line under general fiber--preserving transformation using the Cartan method of equivalence. We will do three versions of the equivalence problems: first via the direct equivalence problem, second equivalence problem is to determine conditions on two differential operators such that there exists a fiber-preserving transformations mapping one to the other according to gauge equivalence."},"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":"1101.3208","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/licenses/by/3.0/","primary_cat":"math.DG","submitted_at":"2011-01-17T13:46:30Z","cross_cats_sorted":[],"title_canon_sha256":"da909b2bbd96197c1cbe3296bdce94c68df89266d8e3701637a4e6c8c86c7abb","abstract_canon_sha256":"07781e608d7216e8a80a284780ba7a901f743d904ae2120e72b17ff4386ae066"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:39.314693Z","signature_b64":"SrWsZf7e94sRUAsf/R21cbuvrPCoTU8ABsCvKXXGDHv9MzBAQG6jxy5p+eh/CkNFuzqRCAxNWYrCutlqWz9KCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b91ebd5943ef3f2d3ea6d3ea607e51bf9f1813f5871471c7cb7b463689d0a619","last_reissued_at":"2026-05-18T04:13:39.314172Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:39.314172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cartan equivalence problem for third order differential operators","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Mehdi Nadjafikhah, Rohollah Bakhshandeh-Chamazkoti","submitted_at":"2011-01-17T13:46:30Z","abstract_excerpt":"This article is dedicated to solve the equivalence problem for two third order differential operators on the line under general fiber--preserving transformation using the Cartan method of equivalence. We will do three versions of the equivalence problems: first via the direct equivalence problem, second equivalence problem is to determine conditions on two differential operators such that there exists a fiber-preserving transformations mapping one to the other according to gauge equivalence."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.3208","kind":"arxiv","version":3},"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":"1101.3208","created_at":"2026-05-18T04:13:39.314243+00:00"},{"alias_kind":"arxiv_version","alias_value":"1101.3208v3","created_at":"2026-05-18T04:13:39.314243+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.3208","created_at":"2026-05-18T04:13:39.314243+00:00"},{"alias_kind":"pith_short_12","alias_value":"XEPL2WKD547S","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"XEPL2WKD547S2PVG","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"XEPL2WKD","created_at":"2026-05-18T12:26:44.992195+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/XEPL2WKD547S2PVG2PVGA7SRX6","json":"https://pith.science/pith/XEPL2WKD547S2PVG2PVGA7SRX6.json","graph_json":"https://pith.science/api/pith-number/XEPL2WKD547S2PVG2PVGA7SRX6/graph.json","events_json":"https://pith.science/api/pith-number/XEPL2WKD547S2PVG2PVGA7SRX6/events.json","paper":"https://pith.science/paper/XEPL2WKD"},"agent_actions":{"view_html":"https://pith.science/pith/XEPL2WKD547S2PVG2PVGA7SRX6","download_json":"https://pith.science/pith/XEPL2WKD547S2PVG2PVGA7SRX6.json","view_paper":"https://pith.science/paper/XEPL2WKD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1101.3208&json=true","fetch_graph":"https://pith.science/api/pith-number/XEPL2WKD547S2PVG2PVGA7SRX6/graph.json","fetch_events":"https://pith.science/api/pith-number/XEPL2WKD547S2PVG2PVGA7SRX6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XEPL2WKD547S2PVG2PVGA7SRX6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XEPL2WKD547S2PVG2PVGA7SRX6/action/storage_attestation","attest_author":"https://pith.science/pith/XEPL2WKD547S2PVG2PVGA7SRX6/action/author_attestation","sign_citation":"https://pith.science/pith/XEPL2WKD547S2PVG2PVGA7SRX6/action/citation_signature","submit_replication":"https://pith.science/pith/XEPL2WKD547S2PVG2PVGA7SRX6/action/replication_record"}},"created_at":"2026-05-18T04:13:39.314243+00:00","updated_at":"2026-05-18T04:13:39.314243+00:00"}