{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:FV3W2EXJGXONCOUIB3Q4TLIZYF","short_pith_number":"pith:FV3W2EXJ","schema_version":"1.0","canonical_sha256":"2d776d12e935dcd13a880ee1c9ad19c144aee0d1f5bbcfdfdbe8be3c12b9bde6","source":{"kind":"arxiv","id":"hep-th/0407237","version":3},"attestation_state":"computed","paper":{"title":"SUSY-hierarchy of one-dimensional reflectionless potentials","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"National Academy of Sciences of Ukraine), Sergei P. Maydanyuk (Institute for Nuclear Research","submitted_at":"2004-07-27T16:08:54Z","abstract_excerpt":"A class of one-dimensional reflectionless potentials, an absolute transparency of which is concerned with their belonging to one SUSY-hierarchy with a constant potential, is studied. An approach for determination of a general form of the reflectionless potential on the basis of construction of such a hierarchy by the recurrent method is proposed. A general form of interdependence between superpotentials with neighboring numbers of this hierarchy, opening a possibility to find new reflectionless potentials, have a simple analytical view and are expressed through finite number of elementary func"},"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":"hep-th/0407237","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2004-07-27T16:08:54Z","cross_cats_sorted":["quant-ph"],"title_canon_sha256":"395bb9ab27dd09591adc472a40473965733bf0a958a4c5a048a444d7eaeb0f16","abstract_canon_sha256":"bc80e2b236b2acf6fa63c8fb76447cd6de9473622ed7f5c0ca6f4415be060d28"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:35.934682Z","signature_b64":"5FAgCsQ5tvx8Z/5BYfYNbjmEiU+pCNUNEYVkrsdjyb/jwCGk2hNyucrnWpFqOPfLQ6JCzsJ6ShCQjVWdamv3DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2d776d12e935dcd13a880ee1c9ad19c144aee0d1f5bbcfdfdbe8be3c12b9bde6","last_reissued_at":"2026-05-18T04:17:35.934172Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:35.934172Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"SUSY-hierarchy of one-dimensional reflectionless potentials","license":"","headline":"","cross_cats":["quant-ph"],"primary_cat":"hep-th","authors_text":"National Academy of Sciences of Ukraine), Sergei P. Maydanyuk (Institute for Nuclear Research","submitted_at":"2004-07-27T16:08:54Z","abstract_excerpt":"A class of one-dimensional reflectionless potentials, an absolute transparency of which is concerned with their belonging to one SUSY-hierarchy with a constant potential, is studied. An approach for determination of a general form of the reflectionless potential on the basis of construction of such a hierarchy by the recurrent method is proposed. A general form of interdependence between superpotentials with neighboring numbers of this hierarchy, opening a possibility to find new reflectionless potentials, have a simple analytical view and are expressed through finite number of elementary func"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0407237","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0407237","created_at":"2026-05-18T04:17:35.934251+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0407237v3","created_at":"2026-05-18T04:17:35.934251+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0407237","created_at":"2026-05-18T04:17:35.934251+00:00"},{"alias_kind":"pith_short_12","alias_value":"FV3W2EXJGXON","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"FV3W2EXJGXONCOUI","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"FV3W2EXJ","created_at":"2026-05-18T12:25:52.687210+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/FV3W2EXJGXONCOUIB3Q4TLIZYF","json":"https://pith.science/pith/FV3W2EXJGXONCOUIB3Q4TLIZYF.json","graph_json":"https://pith.science/api/pith-number/FV3W2EXJGXONCOUIB3Q4TLIZYF/graph.json","events_json":"https://pith.science/api/pith-number/FV3W2EXJGXONCOUIB3Q4TLIZYF/events.json","paper":"https://pith.science/paper/FV3W2EXJ"},"agent_actions":{"view_html":"https://pith.science/pith/FV3W2EXJGXONCOUIB3Q4TLIZYF","download_json":"https://pith.science/pith/FV3W2EXJGXONCOUIB3Q4TLIZYF.json","view_paper":"https://pith.science/paper/FV3W2EXJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0407237&json=true","fetch_graph":"https://pith.science/api/pith-number/FV3W2EXJGXONCOUIB3Q4TLIZYF/graph.json","fetch_events":"https://pith.science/api/pith-number/FV3W2EXJGXONCOUIB3Q4TLIZYF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FV3W2EXJGXONCOUIB3Q4TLIZYF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FV3W2EXJGXONCOUIB3Q4TLIZYF/action/storage_attestation","attest_author":"https://pith.science/pith/FV3W2EXJGXONCOUIB3Q4TLIZYF/action/author_attestation","sign_citation":"https://pith.science/pith/FV3W2EXJGXONCOUIB3Q4TLIZYF/action/citation_signature","submit_replication":"https://pith.science/pith/FV3W2EXJGXONCOUIB3Q4TLIZYF/action/replication_record"}},"created_at":"2026-05-18T04:17:35.934251+00:00","updated_at":"2026-05-18T04:17:35.934251+00:00"}