{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:36IR55LNREHLXAYHKHPWAJUCKT","short_pith_number":"pith:36IR55LN","schema_version":"1.0","canonical_sha256":"df911ef56d890ebb830751df60268254f910efba9c5a94502b519773cbf0d8a0","source":{"kind":"arxiv","id":"1805.08194","version":1},"attestation_state":"computed","paper":{"title":"KvN mechanics approach to the time-dependent frequency harmonic oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alejandro R. Urz\\'ua-Pineda, Francisco Soto-Eguibar, H\\'ector M. Moya-Cessa, Ir\\'an Ramos-Prieto","submitted_at":"2018-05-21T17:39:56Z","abstract_excerpt":"Using the Ermakov-Lewis invariants appearing in KvN mechanics, the time-dependent frequency harmonic oscillator is studied. The analysis builds upon the operational dynamical model, from which it is possible to infer quantum or classical dynamics; thus, the mathematical structure governing the evolution will be the same in both cases. The Liouville operator associated with the time-dependent frequency harmonic oscillator can be transformed using an Ermakov-Lewis invariant, which is also time dependent and commutes with itself at any time. Finally, because the solution of the Ermakov equation i"},"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":"1805.08194","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2018-05-21T17:39:56Z","cross_cats_sorted":[],"title_canon_sha256":"0b4863c00c33e95886978ef619cade57acf8694d60f75c743bf920cbb3cc1e13","abstract_canon_sha256":"e74101a4423feccdc76a852e7829de65dc5cd0ebd6cef5e29ca172d5f72e03ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:49:22.470480Z","signature_b64":"gsUSicoxgm9ApPJjHgLEOOXrawt284NLGlOXtf5jY8wjNSjc/g5p+2h3wonb6oA29TpNFxY02fdbCRjVjNMlDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"df911ef56d890ebb830751df60268254f910efba9c5a94502b519773cbf0d8a0","last_reissued_at":"2026-05-17T23:49:22.469763Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:49:22.469763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"KvN mechanics approach to the time-dependent frequency harmonic oscillator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Alejandro R. Urz\\'ua-Pineda, Francisco Soto-Eguibar, H\\'ector M. Moya-Cessa, Ir\\'an Ramos-Prieto","submitted_at":"2018-05-21T17:39:56Z","abstract_excerpt":"Using the Ermakov-Lewis invariants appearing in KvN mechanics, the time-dependent frequency harmonic oscillator is studied. The analysis builds upon the operational dynamical model, from which it is possible to infer quantum or classical dynamics; thus, the mathematical structure governing the evolution will be the same in both cases. The Liouville operator associated with the time-dependent frequency harmonic oscillator can be transformed using an Ermakov-Lewis invariant, which is also time dependent and commutes with itself at any time. Finally, because the solution of the Ermakov equation i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.08194","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":"1805.08194","created_at":"2026-05-17T23:49:22.469907+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.08194v1","created_at":"2026-05-17T23:49:22.469907+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.08194","created_at":"2026-05-17T23:49:22.469907+00:00"},{"alias_kind":"pith_short_12","alias_value":"36IR55LNREHL","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"36IR55LNREHLXAYH","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"36IR55LN","created_at":"2026-05-18T12:32:02.567920+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/36IR55LNREHLXAYHKHPWAJUCKT","json":"https://pith.science/pith/36IR55LNREHLXAYHKHPWAJUCKT.json","graph_json":"https://pith.science/api/pith-number/36IR55LNREHLXAYHKHPWAJUCKT/graph.json","events_json":"https://pith.science/api/pith-number/36IR55LNREHLXAYHKHPWAJUCKT/events.json","paper":"https://pith.science/paper/36IR55LN"},"agent_actions":{"view_html":"https://pith.science/pith/36IR55LNREHLXAYHKHPWAJUCKT","download_json":"https://pith.science/pith/36IR55LNREHLXAYHKHPWAJUCKT.json","view_paper":"https://pith.science/paper/36IR55LN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.08194&json=true","fetch_graph":"https://pith.science/api/pith-number/36IR55LNREHLXAYHKHPWAJUCKT/graph.json","fetch_events":"https://pith.science/api/pith-number/36IR55LNREHLXAYHKHPWAJUCKT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/36IR55LNREHLXAYHKHPWAJUCKT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/36IR55LNREHLXAYHKHPWAJUCKT/action/storage_attestation","attest_author":"https://pith.science/pith/36IR55LNREHLXAYHKHPWAJUCKT/action/author_attestation","sign_citation":"https://pith.science/pith/36IR55LNREHLXAYHKHPWAJUCKT/action/citation_signature","submit_replication":"https://pith.science/pith/36IR55LNREHLXAYHKHPWAJUCKT/action/replication_record"}},"created_at":"2026-05-17T23:49:22.469907+00:00","updated_at":"2026-05-17T23:49:22.469907+00:00"}