{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:5JSHBV7RV4QFURJYMOWH37EQNA","short_pith_number":"pith:5JSHBV7R","schema_version":"1.0","canonical_sha256":"ea6470d7f1af205a453863ac7dfc90680c9fb7954fc00094d1bc982ffc0016f0","source":{"kind":"arxiv","id":"math-ph/0611008","version":6},"attestation_state":"computed","paper":{"title":"Optimized basis expansion as an extremely accurate technique for solving time-independent Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.MP","physics.comp-ph","quant-ph"],"primary_cat":"math-ph","authors_text":"M. Mirzaei, P. Pedram, S.S. Gousheh","submitted_at":"2006-11-02T15:00:38Z","abstract_excerpt":"We use the optimized trigonometric finite basis method to find energy eigenvalues and eigenfunctions of the time-independent Schrodinger equation with high accuracy. We apply this method to the quartic anharmonic oscillator and the harmonic oscillator perturbed by a trigonometric anharmonic term as not exactly solvable cases and obtain the nearly exact solutions."},"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":"math-ph/0611008","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2006-11-02T15:00:38Z","cross_cats_sorted":["gr-qc","math.MP","physics.comp-ph","quant-ph"],"title_canon_sha256":"93ebb3bd73111b60728415e1ca03638958123b488a46c105aa664f5fd81dae0f","abstract_canon_sha256":"d76265ddb92225b1c4383958e7103a208a81e8d18bf0feba7c881aee8ffbedb7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:35.538933Z","signature_b64":"Z4wHpnAaA1aC2IKa1IWZM7hdKrsXkOgQjaV2aCtrVuxWyCwD8BnHCtzO4IzS9KgkiOZsnoYAAzdwRGyNQbO1CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ea6470d7f1af205a453863ac7dfc90680c9fb7954fc00094d1bc982ffc0016f0","last_reissued_at":"2026-05-18T03:12:35.538112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:35.538112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Optimized basis expansion as an extremely accurate technique for solving time-independent Schr\\\"odinger equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math.MP","physics.comp-ph","quant-ph"],"primary_cat":"math-ph","authors_text":"M. Mirzaei, P. Pedram, S.S. Gousheh","submitted_at":"2006-11-02T15:00:38Z","abstract_excerpt":"We use the optimized trigonometric finite basis method to find energy eigenvalues and eigenfunctions of the time-independent Schrodinger equation with high accuracy. We apply this method to the quartic anharmonic oscillator and the harmonic oscillator perturbed by a trigonometric anharmonic term as not exactly solvable cases and obtain the nearly exact solutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0611008","kind":"arxiv","version":6},"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":"math-ph/0611008","created_at":"2026-05-18T03:12:35.538227+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0611008v6","created_at":"2026-05-18T03:12:35.538227+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0611008","created_at":"2026-05-18T03:12:35.538227+00:00"},{"alias_kind":"pith_short_12","alias_value":"5JSHBV7RV4QF","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"5JSHBV7RV4QFURJY","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"5JSHBV7R","created_at":"2026-05-18T12:25:53.939244+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/5JSHBV7RV4QFURJYMOWH37EQNA","json":"https://pith.science/pith/5JSHBV7RV4QFURJYMOWH37EQNA.json","graph_json":"https://pith.science/api/pith-number/5JSHBV7RV4QFURJYMOWH37EQNA/graph.json","events_json":"https://pith.science/api/pith-number/5JSHBV7RV4QFURJYMOWH37EQNA/events.json","paper":"https://pith.science/paper/5JSHBV7R"},"agent_actions":{"view_html":"https://pith.science/pith/5JSHBV7RV4QFURJYMOWH37EQNA","download_json":"https://pith.science/pith/5JSHBV7RV4QFURJYMOWH37EQNA.json","view_paper":"https://pith.science/paper/5JSHBV7R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0611008&json=true","fetch_graph":"https://pith.science/api/pith-number/5JSHBV7RV4QFURJYMOWH37EQNA/graph.json","fetch_events":"https://pith.science/api/pith-number/5JSHBV7RV4QFURJYMOWH37EQNA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5JSHBV7RV4QFURJYMOWH37EQNA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5JSHBV7RV4QFURJYMOWH37EQNA/action/storage_attestation","attest_author":"https://pith.science/pith/5JSHBV7RV4QFURJYMOWH37EQNA/action/author_attestation","sign_citation":"https://pith.science/pith/5JSHBV7RV4QFURJYMOWH37EQNA/action/citation_signature","submit_replication":"https://pith.science/pith/5JSHBV7RV4QFURJYMOWH37EQNA/action/replication_record"}},"created_at":"2026-05-18T03:12:35.538227+00:00","updated_at":"2026-05-18T03:12:35.538227+00:00"}