{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:62LZFIC4I5W73ERVVIYMYO4H3F","short_pith_number":"pith:62LZFIC4","schema_version":"1.0","canonical_sha256":"f69792a05c476dfd9235aa30cc3b87d95df1ea15d0d7bebc2cca25b50e3b48db","source":{"kind":"arxiv","id":"1502.01775","version":4},"attestation_state":"computed","paper":{"title":"On the interpolation formula for the bound state energies of atomic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atm-clus"],"primary_cat":"physics.atom-ph","authors_text":"Alexei M. Frolov","submitted_at":"2015-02-06T02:07:01Z","abstract_excerpt":"By using results of highly accurate computations of the total energies of a large number of few-electron atoms we construct a few interpolation formulas which can be used to approximate the total energies of bound atomic states. In our procedure the total energies of atomic states $E$ are represented as a function of the electric charge of atomic nucleus $Q$ and the total number of bound electrons $N_e$. Some general properties of the $E(Q, N_e)$ function are investigated. The knowledge of the $E(Q, N_e)$ function allows one to determine the total (and binding) energies of these states in arbi"},"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":"1502.01775","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-02-06T02:07:01Z","cross_cats_sorted":["physics.atm-clus"],"title_canon_sha256":"f36563f8d07f590229bf224fefc035ae664c71bd317aef9e4bd42f1193509460","abstract_canon_sha256":"c421ee579f55ed954b6d631dcfd08ca2dbb4f5d0528ee1a9aacc0f0673875e8f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:33:48.752799Z","signature_b64":"TORwnxPVd/yiHvXRGCyJGyOQFJhgT6RstptIy/1Jd+t0A+mw+82YvLC8NWSrOfPKlz2TA8a9uX2D2XznWGvkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f69792a05c476dfd9235aa30cc3b87d95df1ea15d0d7bebc2cca25b50e3b48db","last_reissued_at":"2026-05-18T01:33:48.752191Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:33:48.752191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the interpolation formula for the bound state energies of atomic systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["physics.atm-clus"],"primary_cat":"physics.atom-ph","authors_text":"Alexei M. Frolov","submitted_at":"2015-02-06T02:07:01Z","abstract_excerpt":"By using results of highly accurate computations of the total energies of a large number of few-electron atoms we construct a few interpolation formulas which can be used to approximate the total energies of bound atomic states. In our procedure the total energies of atomic states $E$ are represented as a function of the electric charge of atomic nucleus $Q$ and the total number of bound electrons $N_e$. Some general properties of the $E(Q, N_e)$ function are investigated. The knowledge of the $E(Q, N_e)$ function allows one to determine the total (and binding) energies of these states in arbi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01775","kind":"arxiv","version":4},"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":"1502.01775","created_at":"2026-05-18T01:33:48.752280+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.01775v4","created_at":"2026-05-18T01:33:48.752280+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01775","created_at":"2026-05-18T01:33:48.752280+00:00"},{"alias_kind":"pith_short_12","alias_value":"62LZFIC4I5W7","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_16","alias_value":"62LZFIC4I5W73ERV","created_at":"2026-05-18T12:29:07.941421+00:00"},{"alias_kind":"pith_short_8","alias_value":"62LZFIC4","created_at":"2026-05-18T12:29:07.941421+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/62LZFIC4I5W73ERVVIYMYO4H3F","json":"https://pith.science/pith/62LZFIC4I5W73ERVVIYMYO4H3F.json","graph_json":"https://pith.science/api/pith-number/62LZFIC4I5W73ERVVIYMYO4H3F/graph.json","events_json":"https://pith.science/api/pith-number/62LZFIC4I5W73ERVVIYMYO4H3F/events.json","paper":"https://pith.science/paper/62LZFIC4"},"agent_actions":{"view_html":"https://pith.science/pith/62LZFIC4I5W73ERVVIYMYO4H3F","download_json":"https://pith.science/pith/62LZFIC4I5W73ERVVIYMYO4H3F.json","view_paper":"https://pith.science/paper/62LZFIC4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.01775&json=true","fetch_graph":"https://pith.science/api/pith-number/62LZFIC4I5W73ERVVIYMYO4H3F/graph.json","fetch_events":"https://pith.science/api/pith-number/62LZFIC4I5W73ERVVIYMYO4H3F/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/62LZFIC4I5W73ERVVIYMYO4H3F/action/timestamp_anchor","attest_storage":"https://pith.science/pith/62LZFIC4I5W73ERVVIYMYO4H3F/action/storage_attestation","attest_author":"https://pith.science/pith/62LZFIC4I5W73ERVVIYMYO4H3F/action/author_attestation","sign_citation":"https://pith.science/pith/62LZFIC4I5W73ERVVIYMYO4H3F/action/citation_signature","submit_replication":"https://pith.science/pith/62LZFIC4I5W73ERVVIYMYO4H3F/action/replication_record"}},"created_at":"2026-05-18T01:33:48.752280+00:00","updated_at":"2026-05-18T01:33:48.752280+00:00"}