{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:2IGN5IYHSGX5KDZKTBQWUYW6PY","short_pith_number":"pith:2IGN5IYH","schema_version":"1.0","canonical_sha256":"d20cdea30791afd50f2a98616a62de7e038e36b3a0c1e19c326afee05bd74854","source":{"kind":"arxiv","id":"1406.2643","version":2},"attestation_state":"computed","paper":{"title":"On the Quasi-Exact Solvability of the Confluent Heun Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Moreno Mosquera, J. Mateos Guilarte, M.A. Gonzalez Leon, M. de la Torre Mayado","submitted_at":"2014-06-10T17:33:35Z","abstract_excerpt":"It is shown that the Confluent Heun Equation (CHEq) reduces for certain conditions of the parameters to a particular class of Quasi-Exactly Solvable models, associated with the Lie algebra $sl (2,{\\mathbb R})$. As a consequence it is possible to find a set of polynomial solutions of this quasi-exactly solvable version of the CHEq. These finite solutions encompass previously known polynomial solutions of the Generalized Spheroidal Equation, Razavy Eq., Whittaker-Hill Eq., etc. The analysis is applied to obtain and describe special eigen-functions of the quantum Hamiltonian of two fixed Coulombi"},"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":"1406.2643","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-10T17:33:35Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"24459b998ce203d109f2786d0eebf7ebd35b3da775d4f33546b96f561438f7d8","abstract_canon_sha256":"6d84afcfab94b6aa5b1b49ae644908ee8de3d691f6c3b949f38523031a43c821"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:41:03.487741Z","signature_b64":"3pOUWjkZqzUdA4bLtj2D+ja9t9xaabnXb4XBV8Z75Ol2DWx6iNkGjdoscS6PS3i3ylZ4Fk84bxuyW6wrrvSjCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d20cdea30791afd50f2a98616a62de7e038e36b3a0c1e19c326afee05bd74854","last_reissued_at":"2026-05-18T02:41:03.487280Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:41:03.487280Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Quasi-Exact Solvability of the Confluent Heun Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"A. Moreno Mosquera, J. Mateos Guilarte, M.A. Gonzalez Leon, M. de la Torre Mayado","submitted_at":"2014-06-10T17:33:35Z","abstract_excerpt":"It is shown that the Confluent Heun Equation (CHEq) reduces for certain conditions of the parameters to a particular class of Quasi-Exactly Solvable models, associated with the Lie algebra $sl (2,{\\mathbb R})$. As a consequence it is possible to find a set of polynomial solutions of this quasi-exactly solvable version of the CHEq. These finite solutions encompass previously known polynomial solutions of the Generalized Spheroidal Equation, Razavy Eq., Whittaker-Hill Eq., etc. The analysis is applied to obtain and describe special eigen-functions of the quantum Hamiltonian of two fixed Coulombi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2643","kind":"arxiv","version":2},"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":"1406.2643","created_at":"2026-05-18T02:41:03.487361+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.2643v2","created_at":"2026-05-18T02:41:03.487361+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2643","created_at":"2026-05-18T02:41:03.487361+00:00"},{"alias_kind":"pith_short_12","alias_value":"2IGN5IYHSGX5","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_16","alias_value":"2IGN5IYHSGX5KDZK","created_at":"2026-05-18T12:28:11.866339+00:00"},{"alias_kind":"pith_short_8","alias_value":"2IGN5IYH","created_at":"2026-05-18T12:28:11.866339+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/2IGN5IYHSGX5KDZKTBQWUYW6PY","json":"https://pith.science/pith/2IGN5IYHSGX5KDZKTBQWUYW6PY.json","graph_json":"https://pith.science/api/pith-number/2IGN5IYHSGX5KDZKTBQWUYW6PY/graph.json","events_json":"https://pith.science/api/pith-number/2IGN5IYHSGX5KDZKTBQWUYW6PY/events.json","paper":"https://pith.science/paper/2IGN5IYH"},"agent_actions":{"view_html":"https://pith.science/pith/2IGN5IYHSGX5KDZKTBQWUYW6PY","download_json":"https://pith.science/pith/2IGN5IYHSGX5KDZKTBQWUYW6PY.json","view_paper":"https://pith.science/paper/2IGN5IYH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.2643&json=true","fetch_graph":"https://pith.science/api/pith-number/2IGN5IYHSGX5KDZKTBQWUYW6PY/graph.json","fetch_events":"https://pith.science/api/pith-number/2IGN5IYHSGX5KDZKTBQWUYW6PY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2IGN5IYHSGX5KDZKTBQWUYW6PY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2IGN5IYHSGX5KDZKTBQWUYW6PY/action/storage_attestation","attest_author":"https://pith.science/pith/2IGN5IYHSGX5KDZKTBQWUYW6PY/action/author_attestation","sign_citation":"https://pith.science/pith/2IGN5IYHSGX5KDZKTBQWUYW6PY/action/citation_signature","submit_replication":"https://pith.science/pith/2IGN5IYHSGX5KDZKTBQWUYW6PY/action/replication_record"}},"created_at":"2026-05-18T02:41:03.487361+00:00","updated_at":"2026-05-18T02:41:03.487361+00:00"}