{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:YASCFT4PTQ62QMNNORWOIFO4PM","short_pith_number":"pith:YASCFT4P","schema_version":"1.0","canonical_sha256":"c02422cf8f9c3da831ad746ce415dc7b1abf66aea0adb0506c5c7c6630ede8fb","source":{"kind":"arxiv","id":"1205.5462","version":1},"attestation_state":"computed","paper":{"title":"Hydrogen supersymmetry: A new method in perturbation theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"E. A. Muljarov","submitted_at":"2012-05-24T14:21:31Z","abstract_excerpt":"The O(4) supersymmetry of the hydrogen atom is utilized to construct a complete basis using only the bound state wave functions. For a large class of perturbations, an expansion of the electron (exciton) wave function into such a complete set reduces the perturbed Schroedinger equation to a standard eigenvalue problem with an equidistant unperturbed spectrum. A high-order polarizability of the ground state of the hydrogen atom in a static electric field is calculated via Rayleigh-Schroedinger perturbation theory for illustration of the new method."},"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":"1205.5462","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-05-24T14:21:31Z","cross_cats_sorted":["cond-mat.other","math.MP","quant-ph"],"title_canon_sha256":"ddc0d2a46d7ac4a768aed392c58119def2f3ab016e2ed6bcad41255c4ad1a87c","abstract_canon_sha256":"5297194d307b0f7f8cc3e57ecc00afa31303099573d5f38279715c75934d674e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:55:01.006307Z","signature_b64":"0My4VnzsdgH4pV4ZDZgigVCmu0BzvcSWvApm0IJRt+joyKPKgu2YSVmYKb58eEe1WryY5Xupe8X5hBuADRhcCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c02422cf8f9c3da831ad746ce415dc7b1abf66aea0adb0506c5c7c6630ede8fb","last_reissued_at":"2026-05-18T03:55:01.005573Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:55:01.005573Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Hydrogen supersymmetry: A new method in perturbation theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"E. A. Muljarov","submitted_at":"2012-05-24T14:21:31Z","abstract_excerpt":"The O(4) supersymmetry of the hydrogen atom is utilized to construct a complete basis using only the bound state wave functions. For a large class of perturbations, an expansion of the electron (exciton) wave function into such a complete set reduces the perturbed Schroedinger equation to a standard eigenvalue problem with an equidistant unperturbed spectrum. A high-order polarizability of the ground state of the hydrogen atom in a static electric field is calculated via Rayleigh-Schroedinger perturbation theory for illustration of the new method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.5462","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":"1205.5462","created_at":"2026-05-18T03:55:01.005685+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.5462v1","created_at":"2026-05-18T03:55:01.005685+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.5462","created_at":"2026-05-18T03:55:01.005685+00:00"},{"alias_kind":"pith_short_12","alias_value":"YASCFT4PTQ62","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"YASCFT4PTQ62QMNN","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"YASCFT4P","created_at":"2026-05-18T12:27:27.928770+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/YASCFT4PTQ62QMNNORWOIFO4PM","json":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM.json","graph_json":"https://pith.science/api/pith-number/YASCFT4PTQ62QMNNORWOIFO4PM/graph.json","events_json":"https://pith.science/api/pith-number/YASCFT4PTQ62QMNNORWOIFO4PM/events.json","paper":"https://pith.science/paper/YASCFT4P"},"agent_actions":{"view_html":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM","download_json":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM.json","view_paper":"https://pith.science/paper/YASCFT4P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.5462&json=true","fetch_graph":"https://pith.science/api/pith-number/YASCFT4PTQ62QMNNORWOIFO4PM/graph.json","fetch_events":"https://pith.science/api/pith-number/YASCFT4PTQ62QMNNORWOIFO4PM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM/action/storage_attestation","attest_author":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM/action/author_attestation","sign_citation":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM/action/citation_signature","submit_replication":"https://pith.science/pith/YASCFT4PTQ62QMNNORWOIFO4PM/action/replication_record"}},"created_at":"2026-05-18T03:55:01.005685+00:00","updated_at":"2026-05-18T03:55:01.005685+00:00"}