{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:TRAE7UZUE4PO3WGV2ICYJQR4WW","short_pith_number":"pith:TRAE7UZU","schema_version":"1.0","canonical_sha256":"9c404fd334271eedd8d5d20584c23cb5a949be13ba6385873075104acc192937","source":{"kind":"arxiv","id":"1010.5521","version":2},"attestation_state":"computed","paper":{"title":"The quantum Arnold transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Francisco Cossio, Francisco F. Lopez-Ruiz, Julio Guerrero, Victor Aldaya","submitted_at":"2010-10-26T21:00:15Z","abstract_excerpt":"By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linear in velocity, can be related to the quantum free-particle dynamical system. This transformation provides a basic (Heisenberg-Weyl) algebra of quantum operators, along with well-defined Hermitian operators which can be chosen as evolution-like observables and complete the entire Schr\\\"odinger algebra. It also proves to be very helpful in performing"},"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":"1010.5521","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2010-10-26T21:00:15Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8ca19664fd9df87551d94abe7ecbd2cff40be674f974c614708db8f4d1b630a8","abstract_canon_sha256":"0a303354415701e83477503d50cf43d3a1e723f74e11b941b086ac7da3084789"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:30:03.681935Z","signature_b64":"EaSSi6XCFzfnilwYZlbpSkUrM78fLrNtlLhiFvMD9uiPFHL+c6xNvWs7XyuIlO0cx9n6Hwhso0tHWtCc9hFrAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c404fd334271eedd8d5d20584c23cb5a949be13ba6385873075104acc192937","last_reissued_at":"2026-05-18T04:30:03.681504Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:30:03.681504Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The quantum Arnold transformation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Francisco Cossio, Francisco F. Lopez-Ruiz, Julio Guerrero, Victor Aldaya","submitted_at":"2010-10-26T21:00:15Z","abstract_excerpt":"By a quantum version of the Arnold transformation of classical mechanics, all quantum dynamical systems whose classical equations of motion are non-homogeneous linear second-order ordinary differential equations, including systems with friction linear in velocity, can be related to the quantum free-particle dynamical system. This transformation provides a basic (Heisenberg-Weyl) algebra of quantum operators, along with well-defined Hermitian operators which can be chosen as evolution-like observables and complete the entire Schr\\\"odinger algebra. It also proves to be very helpful in performing"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.5521","kind":"arxiv","version":2},"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":"1010.5521","created_at":"2026-05-18T04:30:03.681568+00:00"},{"alias_kind":"arxiv_version","alias_value":"1010.5521v2","created_at":"2026-05-18T04:30:03.681568+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.5521","created_at":"2026-05-18T04:30:03.681568+00:00"},{"alias_kind":"pith_short_12","alias_value":"TRAE7UZUE4PO","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"TRAE7UZUE4PO3WGV","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"TRAE7UZU","created_at":"2026-05-18T12:26:15.391820+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2602.06378","citing_title":"Projective Time, Cayley Transformations and the Schwarzian Geometry of the Free Particle--Oscillator Correspondence","ref_index":54,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TRAE7UZUE4PO3WGV2ICYJQR4WW","json":"https://pith.science/pith/TRAE7UZUE4PO3WGV2ICYJQR4WW.json","graph_json":"https://pith.science/api/pith-number/TRAE7UZUE4PO3WGV2ICYJQR4WW/graph.json","events_json":"https://pith.science/api/pith-number/TRAE7UZUE4PO3WGV2ICYJQR4WW/events.json","paper":"https://pith.science/paper/TRAE7UZU"},"agent_actions":{"view_html":"https://pith.science/pith/TRAE7UZUE4PO3WGV2ICYJQR4WW","download_json":"https://pith.science/pith/TRAE7UZUE4PO3WGV2ICYJQR4WW.json","view_paper":"https://pith.science/paper/TRAE7UZU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1010.5521&json=true","fetch_graph":"https://pith.science/api/pith-number/TRAE7UZUE4PO3WGV2ICYJQR4WW/graph.json","fetch_events":"https://pith.science/api/pith-number/TRAE7UZUE4PO3WGV2ICYJQR4WW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TRAE7UZUE4PO3WGV2ICYJQR4WW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TRAE7UZUE4PO3WGV2ICYJQR4WW/action/storage_attestation","attest_author":"https://pith.science/pith/TRAE7UZUE4PO3WGV2ICYJQR4WW/action/author_attestation","sign_citation":"https://pith.science/pith/TRAE7UZUE4PO3WGV2ICYJQR4WW/action/citation_signature","submit_replication":"https://pith.science/pith/TRAE7UZUE4PO3WGV2ICYJQR4WW/action/replication_record"}},"created_at":"2026-05-18T04:30:03.681568+00:00","updated_at":"2026-05-18T04:30:03.681568+00:00"}