{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:7IEHDZTQ7R7AS2BVM2FJHIQMP6","short_pith_number":"pith:7IEHDZTQ","schema_version":"1.0","canonical_sha256":"fa0871e670fc7e096835668a93a20c7f9351961bfba5e24bd62490a5bed7db99","source":{"kind":"arxiv","id":"2606.24238","version":1},"attestation_state":"computed","paper":{"title":"Ground-State Energy Solutions of the Lithium Atom: Zeroth-, First-, and Second-Order Perturbation Theory and the Variational Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph"],"primary_cat":"quant-ph","authors_text":"Abdulkadir Senol, Afraa Mahboubi, B\\\"u\\c{s}ra G\\\"ok\\c{c}e Zolmaz, Devrim Karayer, Handenur \\c{S}ay, O\\u{g}uzhan Kaya","submitted_at":"2026-06-23T07:26:37Z","abstract_excerpt":"In this work, the ground-state energy of the lithium atom is systematically investigated using both time-independent perturbation theory and the variational method to provide a comprehensive pedagogical analysis of many-body atomic systems. The unperturbed Hamiltonian is initially constructed by neglecting electron-electron interactions, treating the system as three independent hydrogen-like electrons to yield a zeroth-order energy baseline of -275.51 eV. The antisymmetric fermionic nature of the exact wave function is rigorously enforced through the Slater determinant formalism. First-order p"},"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":"2606.24238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-23T07:26:37Z","cross_cats_sorted":["physics.atom-ph"],"title_canon_sha256":"48c6ae84878f034b081f81f19b6578d11b25bf84a434e40fbe9c7e5668f87aa3","abstract_canon_sha256":"8cb522d0cbb6de9597b5fdd75aa37ed7e495d6d947413b6d77189611887e41d8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:14:47.621525Z","signature_b64":"76tW3TNTUrS8Gf7hB4fiMDwRUK1GOL/NmI/OR7E/2qlXLIlJvgIvihGzjWplXG1z7F42DVywdu3faj0akWmJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa0871e670fc7e096835668a93a20c7f9351961bfba5e24bd62490a5bed7db99","last_reissued_at":"2026-06-24T01:14:47.620973Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:14:47.620973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Ground-State Energy Solutions of the Lithium Atom: Zeroth-, First-, and Second-Order Perturbation Theory and the Variational Method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atom-ph"],"primary_cat":"quant-ph","authors_text":"Abdulkadir Senol, Afraa Mahboubi, B\\\"u\\c{s}ra G\\\"ok\\c{c}e Zolmaz, Devrim Karayer, Handenur \\c{S}ay, O\\u{g}uzhan Kaya","submitted_at":"2026-06-23T07:26:37Z","abstract_excerpt":"In this work, the ground-state energy of the lithium atom is systematically investigated using both time-independent perturbation theory and the variational method to provide a comprehensive pedagogical analysis of many-body atomic systems. The unperturbed Hamiltonian is initially constructed by neglecting electron-electron interactions, treating the system as three independent hydrogen-like electrons to yield a zeroth-order energy baseline of -275.51 eV. The antisymmetric fermionic nature of the exact wave function is rigorously enforced through the Slater determinant formalism. First-order p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24238","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.24238/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2606.24238","created_at":"2026-06-24T01:14:47.621044+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.24238v1","created_at":"2026-06-24T01:14:47.621044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24238","created_at":"2026-06-24T01:14:47.621044+00:00"},{"alias_kind":"pith_short_12","alias_value":"7IEHDZTQ7R7A","created_at":"2026-06-24T01:14:47.621044+00:00"},{"alias_kind":"pith_short_16","alias_value":"7IEHDZTQ7R7AS2BV","created_at":"2026-06-24T01:14:47.621044+00:00"},{"alias_kind":"pith_short_8","alias_value":"7IEHDZTQ","created_at":"2026-06-24T01:14:47.621044+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/7IEHDZTQ7R7AS2BVM2FJHIQMP6","json":"https://pith.science/pith/7IEHDZTQ7R7AS2BVM2FJHIQMP6.json","graph_json":"https://pith.science/api/pith-number/7IEHDZTQ7R7AS2BVM2FJHIQMP6/graph.json","events_json":"https://pith.science/api/pith-number/7IEHDZTQ7R7AS2BVM2FJHIQMP6/events.json","paper":"https://pith.science/paper/7IEHDZTQ"},"agent_actions":{"view_html":"https://pith.science/pith/7IEHDZTQ7R7AS2BVM2FJHIQMP6","download_json":"https://pith.science/pith/7IEHDZTQ7R7AS2BVM2FJHIQMP6.json","view_paper":"https://pith.science/paper/7IEHDZTQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.24238&json=true","fetch_graph":"https://pith.science/api/pith-number/7IEHDZTQ7R7AS2BVM2FJHIQMP6/graph.json","fetch_events":"https://pith.science/api/pith-number/7IEHDZTQ7R7AS2BVM2FJHIQMP6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7IEHDZTQ7R7AS2BVM2FJHIQMP6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7IEHDZTQ7R7AS2BVM2FJHIQMP6/action/storage_attestation","attest_author":"https://pith.science/pith/7IEHDZTQ7R7AS2BVM2FJHIQMP6/action/author_attestation","sign_citation":"https://pith.science/pith/7IEHDZTQ7R7AS2BVM2FJHIQMP6/action/citation_signature","submit_replication":"https://pith.science/pith/7IEHDZTQ7R7AS2BVM2FJHIQMP6/action/replication_record"}},"created_at":"2026-06-24T01:14:47.621044+00:00","updated_at":"2026-06-24T01:14:47.621044+00:00"}