{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FZRXSVUUMMAR4ESNFUTVRL2YBQ","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":"f29c20c663882e6a395f3bd35bfd379039245893ea48784078547146a05cfcd3","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-04T14:40:22Z","title_canon_sha256":"f541fcf21297fa3fed2be089b7b4e08cb3ccab308d4f909a163c2ad9113ae645"},"schema_version":"1.0","source":{"id":"1308.0815","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.0815","created_at":"2026-07-05T03:23:02Z"},{"alias_kind":"arxiv_version","alias_value":"1308.0815v2","created_at":"2026-07-05T03:23:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.0815","created_at":"2026-07-05T03:23:02Z"},{"alias_kind":"pith_short_12","alias_value":"FZRXSVUUMMAR","created_at":"2026-07-05T03:23:02Z"},{"alias_kind":"pith_short_16","alias_value":"FZRXSVUUMMAR4ESN","created_at":"2026-07-05T03:23:02Z"},{"alias_kind":"pith_short_8","alias_value":"FZRXSVUU","created_at":"2026-07-05T03:23:02Z"}],"graph_snapshots":[{"event_id":"sha256:679cd9964da5af4dc7791f817d717ecdee2e08f0b44460a2af72505959c50852","target":"graph","created_at":"2026-07-05T03:23:02Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1308.0815/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The effects on the non-relativistic dynamics of a system compound by two electrons interacting by a Coulomb potential and with an external harmonic oscillator potential, confined to move in a two dimensional Euclidean space, are investigated. In particular, it is shown that it is possible to determine exactly and in a closed form a finite portion of the energy spectrum and the associated eigeinfunctions for the Schr\\\"odinger equation describing the relative motion of the electrons, by putting it into the form of a biconfluent Heun equation. In the same framework, another set of solutions of th","authors_text":"F. Caruso, J. Martins, V. Oguri","cross_cats":["cond-mat.mes-hall","cond-mat.str-el","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-04T14:40:22Z","title":"Solving a two-electron quantum dot model in terms of polynomial solutions of a Biconfluent Heun Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.0815","kind":"arxiv","version":2},"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":"sha256:493097c0476aef1599cf7c37700ce664b9dabee70b04de6e94191c703e11300b","target":"record","created_at":"2026-07-05T03:23:02Z","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":"f29c20c663882e6a395f3bd35bfd379039245893ea48784078547146a05cfcd3","cross_cats_sorted":["cond-mat.mes-hall","cond-mat.str-el","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2013-08-04T14:40:22Z","title_canon_sha256":"f541fcf21297fa3fed2be089b7b4e08cb3ccab308d4f909a163c2ad9113ae645"},"schema_version":"1.0","source":{"id":"1308.0815","kind":"arxiv","version":2}},"canonical_sha256":"2e6379569463011e124d2d2758af580c3937916a2a470c86afe1890194031273","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2e6379569463011e124d2d2758af580c3937916a2a470c86afe1890194031273","first_computed_at":"2026-07-05T03:23:02.057306Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:23:02.057306Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8D0s/J1yit6h7Tnvxeb72b0ajpcuNn5K1dcQWnm+Ca7zRBPnqiGl4Q0arMPLKwbc4K/iUgpTkc1IECBahk70AA==","signature_status":"signed_v1","signed_at":"2026-07-05T03:23:02.057723Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.0815","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:493097c0476aef1599cf7c37700ce664b9dabee70b04de6e94191c703e11300b","sha256:679cd9964da5af4dc7791f817d717ecdee2e08f0b44460a2af72505959c50852"],"state_sha256":"d4d0c03caca201b8f1f4339154cf07cc71ec78455345c43c082d8eec9c86e999"}