{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:S56SQYVK3E4O5CBPAWVT6APMLS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"76d46766000d9655e747990d753ce04183982e0e195a94a390387a866c5675ba","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-04T16:36:47Z","title_canon_sha256":"0882ec0df7110ac6d1fe6e76bade3809e87d4791eb894399a042736549bbef4b"},"schema_version":"1.0","source":{"id":"1503.01371","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1503.01371","created_at":"2026-05-18T02:25:34Z"},{"alias_kind":"arxiv_version","alias_value":"1503.01371v1","created_at":"2026-05-18T02:25:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.01371","created_at":"2026-05-18T02:25:34Z"},{"alias_kind":"pith_short_12","alias_value":"S56SQYVK3E4O","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"S56SQYVK3E4O5CBP","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"S56SQYVK","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:eb1988d553867fbe58af78c027bffd00944b311b60bdacfa4b3de082e4e068ac","target":"graph","created_at":"2026-05-18T02:25:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We revise the Lewis-Riesenfeld invariant method for solving the quantum time-dependent harmonic oscillator in light of the Quantum Arnold Transformation previously introduced and its recent generalization to the Quantum Arnold-Ermakov-Pinney Transformation. We prove that both methods are equivalent and show the advantages of the Quantum Arnold-Ermakov-Pinney transformation over the Lewis-Riesenfeld invariant method. We show that, in the quantum time-dependent and damped harmonic oscillator, the invariant proposed by Dodonov & Man'ko is more suitable and provide some examples to illustrate it, ","authors_text":"Francisco F. L\\'opez-Ruiz, Julio Guerrero","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-04T16:36:47Z","title":"On the Lewis-Riesenfeld (Dodonov-Man'ko) invariant method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.01371","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:9c75177a729f05a34cd67db81c717c856aa3a3b1eb4a71e49a84742f70e4d4bc","target":"record","created_at":"2026-05-18T02:25:34Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"76d46766000d9655e747990d753ce04183982e0e195a94a390387a866c5675ba","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2015-03-04T16:36:47Z","title_canon_sha256":"0882ec0df7110ac6d1fe6e76bade3809e87d4791eb894399a042736549bbef4b"},"schema_version":"1.0","source":{"id":"1503.01371","kind":"arxiv","version":1}},"canonical_sha256":"977d2862aad938ee882f05ab3f01ec5cb1dba17cd387d6e8433e3c8826bf3b2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"977d2862aad938ee882f05ab3f01ec5cb1dba17cd387d6e8433e3c8826bf3b2e","first_computed_at":"2026-05-18T02:25:34.680303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:34.680303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9CgtQXF9jnpc8WEKx/Nk27kpx/Fpi0Nss6sd9QHEaQ9R+goUovdLVWjDUKK3NlbMxHYInlAhvLIm8nMLUtRQCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:34.680790Z","signed_message":"canonical_sha256_bytes"},"source_id":"1503.01371","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9c75177a729f05a34cd67db81c717c856aa3a3b1eb4a71e49a84742f70e4d4bc","sha256:eb1988d553867fbe58af78c027bffd00944b311b60bdacfa4b3de082e4e068ac"],"state_sha256":"46c0d816a94d9b04901a28a07a52e30e1136c165fe496acc06fcb0d758967b40"}