{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:BUG4ZYEOCJKCPM5SHGNGTOSSP2","short_pith_number":"pith:BUG4ZYEO","schema_version":"1.0","canonical_sha256":"0d0dcce08e125427b3b2399a69ba527e97cc08d78a21f8a45b62862ac9f41262","source":{"kind":"arxiv","id":"1006.3362","version":3},"attestation_state":"computed","paper":{"title":"The Degenerate Parametric Oscillator and Ince's Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Ricardo Cordero-Soto, Sergei K. Suslov","submitted_at":"2010-06-17T03:00:35Z","abstract_excerpt":"We construct Green's function for the quantum degenerate parametric oscillator in terms of standard solutions of Ince's equation in a framework of a general approach to harmonic oscillators. Exact time-dependent wave functions and their connections with dynamical invariants and SU(1,1) group are also discussed."},"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":"1006.3362","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-06-17T03:00:35Z","cross_cats_sorted":["math.MP","quant-ph"],"title_canon_sha256":"967f4d85b67b9cda1fb1c56d4eaca351abc339ca6cb5f319af20abcb358c79b2","abstract_canon_sha256":"08e146358eee177fd5ce89cba0671b4276108542b1b8b76156544237c41b9f80"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:06:45.295481Z","signature_b64":"EV+sSAsuSj9JqXnE9K5xvIJIrAUeVLyW/SKHNmSq/WSJCHg83UM2K7ViIi/5zTO138/WLy1PevHKE9BwCmkKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0d0dcce08e125427b3b2399a69ba527e97cc08d78a21f8a45b62862ac9f41262","last_reissued_at":"2026-05-18T02:06:45.294743Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:06:45.294743Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Degenerate Parametric Oscillator and Ince's Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"Ricardo Cordero-Soto, Sergei K. Suslov","submitted_at":"2010-06-17T03:00:35Z","abstract_excerpt":"We construct Green's function for the quantum degenerate parametric oscillator in terms of standard solutions of Ince's equation in a framework of a general approach to harmonic oscillators. Exact time-dependent wave functions and their connections with dynamical invariants and SU(1,1) group are also discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3362","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":"1006.3362","created_at":"2026-05-18T02:06:45.294851+00:00"},{"alias_kind":"arxiv_version","alias_value":"1006.3362v3","created_at":"2026-05-18T02:06:45.294851+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3362","created_at":"2026-05-18T02:06:45.294851+00:00"},{"alias_kind":"pith_short_12","alias_value":"BUG4ZYEOCJKC","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_16","alias_value":"BUG4ZYEOCJKCPM5S","created_at":"2026-05-18T12:26:05.355336+00:00"},{"alias_kind":"pith_short_8","alias_value":"BUG4ZYEO","created_at":"2026-05-18T12:26:05.355336+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/BUG4ZYEOCJKCPM5SHGNGTOSSP2","json":"https://pith.science/pith/BUG4ZYEOCJKCPM5SHGNGTOSSP2.json","graph_json":"https://pith.science/api/pith-number/BUG4ZYEOCJKCPM5SHGNGTOSSP2/graph.json","events_json":"https://pith.science/api/pith-number/BUG4ZYEOCJKCPM5SHGNGTOSSP2/events.json","paper":"https://pith.science/paper/BUG4ZYEO"},"agent_actions":{"view_html":"https://pith.science/pith/BUG4ZYEOCJKCPM5SHGNGTOSSP2","download_json":"https://pith.science/pith/BUG4ZYEOCJKCPM5SHGNGTOSSP2.json","view_paper":"https://pith.science/paper/BUG4ZYEO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1006.3362&json=true","fetch_graph":"https://pith.science/api/pith-number/BUG4ZYEOCJKCPM5SHGNGTOSSP2/graph.json","fetch_events":"https://pith.science/api/pith-number/BUG4ZYEOCJKCPM5SHGNGTOSSP2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BUG4ZYEOCJKCPM5SHGNGTOSSP2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BUG4ZYEOCJKCPM5SHGNGTOSSP2/action/storage_attestation","attest_author":"https://pith.science/pith/BUG4ZYEOCJKCPM5SHGNGTOSSP2/action/author_attestation","sign_citation":"https://pith.science/pith/BUG4ZYEOCJKCPM5SHGNGTOSSP2/action/citation_signature","submit_replication":"https://pith.science/pith/BUG4ZYEOCJKCPM5SHGNGTOSSP2/action/replication_record"}},"created_at":"2026-05-18T02:06:45.294851+00:00","updated_at":"2026-05-18T02:06:45.294851+00:00"}