{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:HRRCHXE2GML6DVDBXEJKNHV5R5","short_pith_number":"pith:HRRCHXE2","schema_version":"1.0","canonical_sha256":"3c6223dc9a3317e1d461b912a69ebd8f5146db7df7cb67df7ed18693ffbf157b","source":{"kind":"arxiv","id":"1106.4603","version":1},"attestation_state":"computed","paper":{"title":"Supersymmetric Quantum Mechanics For Atomic Electronic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Donald J Kouri, Mason Biamonte, Thomas Markovich","submitted_at":"2011-06-23T01:13:33Z","abstract_excerpt":"We employ our new approach to non-relativistic supersymmetric quantum mechanics (SUSY-QM), (J. Phys. Chem. A 114, 8202(2010)) for any number of dimensions and distinguishable particles, to treat the hydrogen atom in full three-dimensional detail. In contrast to the standard one-dimensional radial equation SUSY-QM treatment of the hydrogen atom, where the superpotential is a scalar, in a full three-dimensional treatment, it is a vector which applies regardless of the electron angular momentum. The original scalar Schrodinger Hamiltonian operator is factored into vector \"charge\" operators: Q and"},"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":"1106.4603","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-06-23T01:13:33Z","cross_cats_sorted":["physics.chem-ph"],"title_canon_sha256":"ada73c6f96f55744f9d7042455b2e5e029ea84d05ec4cfd53fdc2c3c66265ac0","abstract_canon_sha256":"5006cc9f3f5858d49cdfda33701e20946549b166fa0bc8f8cb6306f2147ebce8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:32.486651Z","signature_b64":"6uRYxmSAMexl5nOoPAq6S+nPJfqzzoA5quGqyWVLr4syJUoPdfgc+Vma+pZrB31F8B4YOOmDoj9/GE9xczGjBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c6223dc9a3317e1d461b912a69ebd8f5146db7df7cb67df7ed18693ffbf157b","last_reissued_at":"2026-05-18T04:19:32.486284Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:32.486284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Supersymmetric Quantum Mechanics For Atomic Electronic Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.chem-ph"],"primary_cat":"quant-ph","authors_text":"Donald J Kouri, Mason Biamonte, Thomas Markovich","submitted_at":"2011-06-23T01:13:33Z","abstract_excerpt":"We employ our new approach to non-relativistic supersymmetric quantum mechanics (SUSY-QM), (J. Phys. Chem. A 114, 8202(2010)) for any number of dimensions and distinguishable particles, to treat the hydrogen atom in full three-dimensional detail. In contrast to the standard one-dimensional radial equation SUSY-QM treatment of the hydrogen atom, where the superpotential is a scalar, in a full three-dimensional treatment, it is a vector which applies regardless of the electron angular momentum. The original scalar Schrodinger Hamiltonian operator is factored into vector \"charge\" operators: Q and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4603","kind":"arxiv","version":1},"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":"1106.4603","created_at":"2026-05-18T04:19:32.486337+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.4603v1","created_at":"2026-05-18T04:19:32.486337+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4603","created_at":"2026-05-18T04:19:32.486337+00:00"},{"alias_kind":"pith_short_12","alias_value":"HRRCHXE2GML6","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_16","alias_value":"HRRCHXE2GML6DVDB","created_at":"2026-05-18T12:26:30.835961+00:00"},{"alias_kind":"pith_short_8","alias_value":"HRRCHXE2","created_at":"2026-05-18T12:26:30.835961+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/HRRCHXE2GML6DVDBXEJKNHV5R5","json":"https://pith.science/pith/HRRCHXE2GML6DVDBXEJKNHV5R5.json","graph_json":"https://pith.science/api/pith-number/HRRCHXE2GML6DVDBXEJKNHV5R5/graph.json","events_json":"https://pith.science/api/pith-number/HRRCHXE2GML6DVDBXEJKNHV5R5/events.json","paper":"https://pith.science/paper/HRRCHXE2"},"agent_actions":{"view_html":"https://pith.science/pith/HRRCHXE2GML6DVDBXEJKNHV5R5","download_json":"https://pith.science/pith/HRRCHXE2GML6DVDBXEJKNHV5R5.json","view_paper":"https://pith.science/paper/HRRCHXE2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.4603&json=true","fetch_graph":"https://pith.science/api/pith-number/HRRCHXE2GML6DVDBXEJKNHV5R5/graph.json","fetch_events":"https://pith.science/api/pith-number/HRRCHXE2GML6DVDBXEJKNHV5R5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HRRCHXE2GML6DVDBXEJKNHV5R5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HRRCHXE2GML6DVDBXEJKNHV5R5/action/storage_attestation","attest_author":"https://pith.science/pith/HRRCHXE2GML6DVDBXEJKNHV5R5/action/author_attestation","sign_citation":"https://pith.science/pith/HRRCHXE2GML6DVDBXEJKNHV5R5/action/citation_signature","submit_replication":"https://pith.science/pith/HRRCHXE2GML6DVDBXEJKNHV5R5/action/replication_record"}},"created_at":"2026-05-18T04:19:32.486337+00:00","updated_at":"2026-05-18T04:19:32.486337+00:00"}