{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:DZZMSB4TSMSWXRPDLOL5FYU2YX","short_pith_number":"pith:DZZMSB4T","schema_version":"1.0","canonical_sha256":"1e72c9079393256bc5e35b97d2e29ac5e62d8833d0035febd3bdf17414d189af","source":{"kind":"arxiv","id":"nlin/0601053","version":2},"attestation_state":"computed","paper":{"title":"Quasi-exact solvability beyond the SL(2) algebraization","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"David Gomez-Ullate, Niky Kamran, Robert Milson","submitted_at":"2006-01-24T15:00:55Z","abstract_excerpt":"We present evidence to suggest that the study of one dimensional quasi-exactly solvable (QES) models in quantum mechanics should be extended beyond the usual $\\sla(2)$ approach. The motivation is twofold: We first show that certain quasi-exactly solvable potentials constructed with the $\\sla(2)$ Lie algebraic method allow for a new larger portion of the spectrum to be obtained algebraically. This is done via another algebraization in which the algebraic hamiltonian cannot be expressed as a polynomial in the generators of $\\sla(2)$. We then show an example of a new quasi-exactly solvable potent"},"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":"nlin/0601053","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"nlin.SI","submitted_at":"2006-01-24T15:00:55Z","cross_cats_sorted":[],"title_canon_sha256":"31ad1461fbaee5a2b22a4e1ccee9ed02017c03e4f1e7c6e050b79796a97aaadf","abstract_canon_sha256":"a74236c625840085f0929f8245530d18dd125acdb3c3d0b7ddf1764270be33b6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:18.377202Z","signature_b64":"+B5fs4qDrOLqj/hohz9m0nOQr5sjM1gGloSzxX1gIV/WQ/RdJdytSUEmxpgB+hOt4070iPjTcuRFdJyDeEDnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e72c9079393256bc5e35b97d2e29ac5e62d8833d0035febd3bdf17414d189af","last_reissued_at":"2026-05-18T01:38:18.376665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:18.376665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quasi-exact solvability beyond the SL(2) algebraization","license":"","headline":"","cross_cats":[],"primary_cat":"nlin.SI","authors_text":"David Gomez-Ullate, Niky Kamran, Robert Milson","submitted_at":"2006-01-24T15:00:55Z","abstract_excerpt":"We present evidence to suggest that the study of one dimensional quasi-exactly solvable (QES) models in quantum mechanics should be extended beyond the usual $\\sla(2)$ approach. The motivation is twofold: We first show that certain quasi-exactly solvable potentials constructed with the $\\sla(2)$ Lie algebraic method allow for a new larger portion of the spectrum to be obtained algebraically. This is done via another algebraization in which the algebraic hamiltonian cannot be expressed as a polynomial in the generators of $\\sla(2)$. We then show an example of a new quasi-exactly solvable potent"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"nlin/0601053","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":"nlin/0601053","created_at":"2026-05-18T01:38:18.376753+00:00"},{"alias_kind":"arxiv_version","alias_value":"nlin/0601053v2","created_at":"2026-05-18T01:38:18.376753+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.nlin/0601053","created_at":"2026-05-18T01:38:18.376753+00:00"},{"alias_kind":"pith_short_12","alias_value":"DZZMSB4TSMSW","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_16","alias_value":"DZZMSB4TSMSWXRPD","created_at":"2026-05-18T12:25:53.939244+00:00"},{"alias_kind":"pith_short_8","alias_value":"DZZMSB4T","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/DZZMSB4TSMSWXRPDLOL5FYU2YX","json":"https://pith.science/pith/DZZMSB4TSMSWXRPDLOL5FYU2YX.json","graph_json":"https://pith.science/api/pith-number/DZZMSB4TSMSWXRPDLOL5FYU2YX/graph.json","events_json":"https://pith.science/api/pith-number/DZZMSB4TSMSWXRPDLOL5FYU2YX/events.json","paper":"https://pith.science/paper/DZZMSB4T"},"agent_actions":{"view_html":"https://pith.science/pith/DZZMSB4TSMSWXRPDLOL5FYU2YX","download_json":"https://pith.science/pith/DZZMSB4TSMSWXRPDLOL5FYU2YX.json","view_paper":"https://pith.science/paper/DZZMSB4T","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=nlin/0601053&json=true","fetch_graph":"https://pith.science/api/pith-number/DZZMSB4TSMSWXRPDLOL5FYU2YX/graph.json","fetch_events":"https://pith.science/api/pith-number/DZZMSB4TSMSWXRPDLOL5FYU2YX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DZZMSB4TSMSWXRPDLOL5FYU2YX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DZZMSB4TSMSWXRPDLOL5FYU2YX/action/storage_attestation","attest_author":"https://pith.science/pith/DZZMSB4TSMSWXRPDLOL5FYU2YX/action/author_attestation","sign_citation":"https://pith.science/pith/DZZMSB4TSMSWXRPDLOL5FYU2YX/action/citation_signature","submit_replication":"https://pith.science/pith/DZZMSB4TSMSWXRPDLOL5FYU2YX/action/replication_record"}},"created_at":"2026-05-18T01:38:18.376753+00:00","updated_at":"2026-05-18T01:38:18.376753+00:00"}