{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:PIF4DY5SBZGS73JIB7XHXBI3LU","short_pith_number":"pith:PIF4DY5S","schema_version":"1.0","canonical_sha256":"7a0bc1e3b20e4d2fed280fee7b851b5d03071bf314040debece113f7f80b412a","source":{"kind":"arxiv","id":"quant-ph/0607176","version":3},"attestation_state":"computed","paper":{"title":"Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots","license":"","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Anna Okopinska, Przemyslaw Koscik","submitted_at":"2006-07-25T11:37:47Z","abstract_excerpt":"We present an analysis of the two-dimensional Schrodinger equation for two electrons interacting via Coulombic force and confined in an anizotropic harmonic potential. The separable case of wy = 2wx is studied particularly carefully. The closed-form expressions for bound-state energies and the corresponding eigenfunctions are found at some particular values of wx. For highly-accurate determination of energy levels at other values of wx, we apply an efficient scheme based on the Frobenius expansion."},"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":"quant-ph/0607176","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"quant-ph","submitted_at":"2006-07-25T11:37:47Z","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el","math-ph","math.MP"],"title_canon_sha256":"054c2d003facb229c7c5c8c44bcb035c90e4d1f5b22920daca434421bca5c009","abstract_canon_sha256":"53ada6106a55c212534331375c0178e740736eac8ef59b20bd72e29613f4d507"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:40:17.656423Z","signature_b64":"/Oca8gGmo+VygiPxMyPhOQmsxnRffKtgXlnizQ4md65WB9oezlxgVR8XVs1zATxjm1uLnd+NJFwYaNMvAmlVDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a0bc1e3b20e4d2fed280fee7b851b5d03071bf314040debece113f7f80b412a","last_reissued_at":"2026-05-18T00:40:17.655579Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:40:17.655579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots","license":"","headline":"","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el","math-ph","math.MP"],"primary_cat":"quant-ph","authors_text":"Anna Okopinska, Przemyslaw Koscik","submitted_at":"2006-07-25T11:37:47Z","abstract_excerpt":"We present an analysis of the two-dimensional Schrodinger equation for two electrons interacting via Coulombic force and confined in an anizotropic harmonic potential. The separable case of wy = 2wx is studied particularly carefully. The closed-form expressions for bound-state energies and the corresponding eigenfunctions are found at some particular values of wx. For highly-accurate determination of energy levels at other values of wx, we apply an efficient scheme based on the Frobenius expansion."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0607176","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":"quant-ph/0607176","created_at":"2026-05-18T00:40:17.655714+00:00"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0607176v3","created_at":"2026-05-18T00:40:17.655714+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0607176","created_at":"2026-05-18T00:40:17.655714+00:00"},{"alias_kind":"pith_short_12","alias_value":"PIF4DY5SBZGS","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"PIF4DY5SBZGS73JI","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"PIF4DY5S","created_at":"2026-05-18T12:25:54.717736+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/PIF4DY5SBZGS73JIB7XHXBI3LU","json":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU.json","graph_json":"https://pith.science/api/pith-number/PIF4DY5SBZGS73JIB7XHXBI3LU/graph.json","events_json":"https://pith.science/api/pith-number/PIF4DY5SBZGS73JIB7XHXBI3LU/events.json","paper":"https://pith.science/paper/PIF4DY5S"},"agent_actions":{"view_html":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU","download_json":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU.json","view_paper":"https://pith.science/paper/PIF4DY5S","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=quant-ph/0607176&json=true","fetch_graph":"https://pith.science/api/pith-number/PIF4DY5SBZGS73JIB7XHXBI3LU/graph.json","fetch_events":"https://pith.science/api/pith-number/PIF4DY5SBZGS73JIB7XHXBI3LU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/action/storage_attestation","attest_author":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/action/author_attestation","sign_citation":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/action/citation_signature","submit_replication":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/action/replication_record"}},"created_at":"2026-05-18T00:40:17.655714+00:00","updated_at":"2026-05-18T00:40:17.655714+00:00"}