{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:TEX62YFIIU7QVCOW55B3GUFYMT","short_pith_number":"pith:TEX62YFI","schema_version":"1.0","canonical_sha256":"992fed60a8453f0a89d6ef43b350b864ca4b07dfa38eff42ca8d07c786a2cedf","source":{"kind":"arxiv","id":"1808.07367","version":2},"attestation_state":"computed","paper":{"title":"Infinite families of position-dependent mass Schr\\\"odinger equations with known ground and first excited states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI","quant-ph"],"primary_cat":"math-ph","authors_text":"C. Quesne","submitted_at":"2018-08-21T13:30:08Z","abstract_excerpt":"A construction method of infinite families of quasi-exactly solvable position-dependent mass Schr\\\"odinger equations with known ground and first excited states is proposed in a deformed supersymmetric background. Such families correspond to extensions of known potentials endowed with a deformed shape invariance property. Two different approaches are combined. The first one is a generating function method, which enables to construct the first two superpotentials of a deformed supersymmetric hierarchy, as well as the first two partner potentials and the first two eigenstates of the first potenti"},"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":"1808.07367","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2018-08-21T13:30:08Z","cross_cats_sorted":["math.MP","nlin.SI","quant-ph"],"title_canon_sha256":"764b75a8670ef3c6137b15161f1648bbb290436c15478253680acceaca8ae0b3","abstract_canon_sha256":"2b790b0d506eab3ee5474d2458dbded23ec26d19d38477f06e36dceb70974473"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:00:50.935097Z","signature_b64":"9D1bE7dY67FuZIPNIEaXKTaeBx626BcI7NwW0dYXA+MMpLghSWxKIowMInAlr/5JwuHF8TXbncaZGGTmzS1xAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"992fed60a8453f0a89d6ef43b350b864ca4b07dfa38eff42ca8d07c786a2cedf","last_reissued_at":"2026-05-18T00:00:50.934474Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:00:50.934474Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Infinite families of position-dependent mass Schr\\\"odinger equations with known ground and first excited states","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","nlin.SI","quant-ph"],"primary_cat":"math-ph","authors_text":"C. Quesne","submitted_at":"2018-08-21T13:30:08Z","abstract_excerpt":"A construction method of infinite families of quasi-exactly solvable position-dependent mass Schr\\\"odinger equations with known ground and first excited states is proposed in a deformed supersymmetric background. Such families correspond to extensions of known potentials endowed with a deformed shape invariance property. Two different approaches are combined. The first one is a generating function method, which enables to construct the first two superpotentials of a deformed supersymmetric hierarchy, as well as the first two partner potentials and the first two eigenstates of the first potenti"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.07367","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":"1808.07367","created_at":"2026-05-18T00:00:50.934567+00:00"},{"alias_kind":"arxiv_version","alias_value":"1808.07367v2","created_at":"2026-05-18T00:00:50.934567+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.07367","created_at":"2026-05-18T00:00:50.934567+00:00"},{"alias_kind":"pith_short_12","alias_value":"TEX62YFIIU7Q","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"TEX62YFIIU7QVCOW","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"TEX62YFI","created_at":"2026-05-18T12:32:53.628368+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/TEX62YFIIU7QVCOW55B3GUFYMT","json":"https://pith.science/pith/TEX62YFIIU7QVCOW55B3GUFYMT.json","graph_json":"https://pith.science/api/pith-number/TEX62YFIIU7QVCOW55B3GUFYMT/graph.json","events_json":"https://pith.science/api/pith-number/TEX62YFIIU7QVCOW55B3GUFYMT/events.json","paper":"https://pith.science/paper/TEX62YFI"},"agent_actions":{"view_html":"https://pith.science/pith/TEX62YFIIU7QVCOW55B3GUFYMT","download_json":"https://pith.science/pith/TEX62YFIIU7QVCOW55B3GUFYMT.json","view_paper":"https://pith.science/paper/TEX62YFI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1808.07367&json=true","fetch_graph":"https://pith.science/api/pith-number/TEX62YFIIU7QVCOW55B3GUFYMT/graph.json","fetch_events":"https://pith.science/api/pith-number/TEX62YFIIU7QVCOW55B3GUFYMT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TEX62YFIIU7QVCOW55B3GUFYMT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TEX62YFIIU7QVCOW55B3GUFYMT/action/storage_attestation","attest_author":"https://pith.science/pith/TEX62YFIIU7QVCOW55B3GUFYMT/action/author_attestation","sign_citation":"https://pith.science/pith/TEX62YFIIU7QVCOW55B3GUFYMT/action/citation_signature","submit_replication":"https://pith.science/pith/TEX62YFIIU7QVCOW55B3GUFYMT/action/replication_record"}},"created_at":"2026-05-18T00:00:50.934567+00:00","updated_at":"2026-05-18T00:00:50.934567+00:00"}