{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:PIF4DY5SBZGS73JIB7XHXBI3LU","short_pith_number":"pith:PIF4DY5S","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"},"canonical_sha256":"7a0bc1e3b20e4d2fed280fee7b851b5d03071bf314040debece113f7f80b412a","source":{"kind":"arxiv","id":"quant-ph/0607176","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0607176","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0607176v3","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0607176","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"PIF4DY5SBZGS","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"PIF4DY5SBZGS73JI","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"PIF4DY5S","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:PIF4DY5SBZGS73JIB7XHXBI3LU","target":"record","payload":{"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"},"canonical_sha256":"7a0bc1e3b20e4d2fed280fee7b851b5d03071bf314040debece113f7f80b412a","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"},"source_kind":"arxiv","source_id":"quant-ph/0607176","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QplJhGgeBBURMHM7npp0Ok110v70hL7WiKUHZ/pwZhhH9ncL09spETI2VdCdtVvvqvzDitUfyPtSr0jCr/PLCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:06:07.549376Z"},"content_sha256":"155d36c0fad2cad0382011b2c322804047bfa1fa83991da92bee3a0a74c7c9f5","schema_version":"1.0","event_id":"sha256:155d36c0fad2cad0382011b2c322804047bfa1fa83991da92bee3a0a74c7c9f5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:PIF4DY5SBZGS73JIB7XHXBI3LU","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:40:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pjSTbz4IfVWEr/sXFfse+7yNXloMp3afirdISFJi4gT0flJv2g2dDKgGXJu6qILiRkOfveoWrEU5mkhqLjTwAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T03:06:07.549722Z"},"content_sha256":"a8dbc6463492ec147cb4cd357dad97402b5a9856f7fbc237acdb8105d2e5f509","schema_version":"1.0","event_id":"sha256:a8dbc6463492ec147cb4cd357dad97402b5a9856f7fbc237acdb8105d2e5f509"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/bundle.json","state_url":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-20T03:06:07Z","links":{"resolver":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU","bundle":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/bundle.json","state":"https://pith.science/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PIF4DY5SBZGS73JIB7XHXBI3LU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:PIF4DY5SBZGS73JIB7XHXBI3LU","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":"53ada6106a55c212534331375c0178e740736eac8ef59b20bd72e29613f4d507","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el","math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"2006-07-25T11:37:47Z","title_canon_sha256":"054c2d003facb229c7c5c8c44bcb035c90e4d1f5b22920daca434421bca5c009"},"schema_version":"1.0","source":{"id":"quant-ph/0607176","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"quant-ph/0607176","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"quant-ph/0607176v3","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.quant-ph/0607176","created_at":"2026-05-18T00:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"PIF4DY5SBZGS","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"PIF4DY5SBZGS73JI","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"PIF4DY5S","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:a8dbc6463492ec147cb4cd357dad97402b5a9856f7fbc237acdb8105d2e5f509","target":"graph","created_at":"2026-05-18T00:40:17Z","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 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.","authors_text":"Anna Okopinska, Przemyslaw Koscik","cross_cats":["cond-mat.mtrl-sci","cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"","primary_cat":"quant-ph","submitted_at":"2006-07-25T11:37:47Z","title":"Quasi-exact solutions for two interacting electrons in two-dimensional anisotropic dots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"quant-ph/0607176","kind":"arxiv","version":3},"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":"sha256:155d36c0fad2cad0382011b2c322804047bfa1fa83991da92bee3a0a74c7c9f5","target":"record","created_at":"2026-05-18T00:40:17Z","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":"53ada6106a55c212534331375c0178e740736eac8ef59b20bd72e29613f4d507","cross_cats_sorted":["cond-mat.mtrl-sci","cond-mat.str-el","math-ph","math.MP"],"license":"","primary_cat":"quant-ph","submitted_at":"2006-07-25T11:37:47Z","title_canon_sha256":"054c2d003facb229c7c5c8c44bcb035c90e4d1f5b22920daca434421bca5c009"},"schema_version":"1.0","source":{"id":"quant-ph/0607176","kind":"arxiv","version":3}},"canonical_sha256":"7a0bc1e3b20e4d2fed280fee7b851b5d03071bf314040debece113f7f80b412a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a0bc1e3b20e4d2fed280fee7b851b5d03071bf314040debece113f7f80b412a","first_computed_at":"2026-05-18T00:40:17.655579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:40:17.655579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/Oca8gGmo+VygiPxMyPhOQmsxnRffKtgXlnizQ4md65WB9oezlxgVR8XVs1zATxjm1uLnd+NJFwYaNMvAmlVDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:40:17.656423Z","signed_message":"canonical_sha256_bytes"},"source_id":"quant-ph/0607176","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:155d36c0fad2cad0382011b2c322804047bfa1fa83991da92bee3a0a74c7c9f5","sha256:a8dbc6463492ec147cb4cd357dad97402b5a9856f7fbc237acdb8105d2e5f509"],"state_sha256":"9c4de0b0d940d92ecd76a2d074e872de574eac3c384a097438d99871c4ff509d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8FzlNNsneIGWLCslOlyqQgXfAx1+VGZZmlBh5UK+uaWSFOtA2LQOxGKXJRqhZia7SORb6LwfF7nDyC8Bo4nBDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T03:06:07.551621Z","bundle_sha256":"9b77c8319ceac2189998ebe06195c6afeff03ab046f2e9a4510358491d5ddfde"}}