{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:7IEHDZTQ7R7AS2BVM2FJHIQMP6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8cb522d0cbb6de9597b5fdd75aa37ed7e495d6d947413b6d77189611887e41d8","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-23T07:26:37Z","title_canon_sha256":"48c6ae84878f034b081f81f19b6578d11b25bf84a434e40fbe9c7e5668f87aa3"},"schema_version":"1.0","source":{"id":"2606.24238","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24238","created_at":"2026-06-24T01:14:47Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24238v1","created_at":"2026-06-24T01:14:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24238","created_at":"2026-06-24T01:14:47Z"},{"alias_kind":"pith_short_12","alias_value":"7IEHDZTQ7R7A","created_at":"2026-06-24T01:14:47Z"},{"alias_kind":"pith_short_16","alias_value":"7IEHDZTQ7R7AS2BV","created_at":"2026-06-24T01:14:47Z"},{"alias_kind":"pith_short_8","alias_value":"7IEHDZTQ","created_at":"2026-06-24T01:14:47Z"}],"graph_snapshots":[{"event_id":"sha256:4e3aa5577b75e3cb3030f8890c7f54416beb843a8be3b3edcab250c477cec8fb","target":"graph","created_at":"2026-06-24T01:14:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2606.24238/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"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","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","cross_cats":["physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-23T07:26:37Z","title":"Ground-State Energy Solutions of the Lithium Atom: Zeroth-, First-, and Second-Order Perturbation Theory and the Variational Method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24238","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7818bbfe6310cfa386c7303fb764b69b9eb6e156ac91d0fe1972c6ef1d729c03","target":"record","created_at":"2026-06-24T01:14:47Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8cb522d0cbb6de9597b5fdd75aa37ed7e495d6d947413b6d77189611887e41d8","cross_cats_sorted":["physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-06-23T07:26:37Z","title_canon_sha256":"48c6ae84878f034b081f81f19b6578d11b25bf84a434e40fbe9c7e5668f87aa3"},"schema_version":"1.0","source":{"id":"2606.24238","kind":"arxiv","version":1}},"canonical_sha256":"fa0871e670fc7e096835668a93a20c7f9351961bfba5e24bd62490a5bed7db99","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa0871e670fc7e096835668a93a20c7f9351961bfba5e24bd62490a5bed7db99","first_computed_at":"2026-06-24T01:14:47.620973Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:14:47.620973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"76tW3TNTUrS8Gf7hB4fiMDwRUK1GOL/NmI/OR7E/2qlXLIlJvgIvihGzjWplXG1z7F42DVywdu3faj0akWmJAA==","signature_status":"signed_v1","signed_at":"2026-06-24T01:14:47.621525Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24238","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7818bbfe6310cfa386c7303fb764b69b9eb6e156ac91d0fe1972c6ef1d729c03","sha256:4e3aa5577b75e3cb3030f8890c7f54416beb843a8be3b3edcab250c477cec8fb"],"state_sha256":"69e80389e9d97e96aa2aa82746dfb3d17fd22428ddc9251e60dbd4ea48e8859a"}