{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:62LZFIC4I5W73ERVVIYMYO4H3F","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":"c421ee579f55ed954b6d631dcfd08ca2dbb4f5d0528ee1a9aacc0f0673875e8f","cross_cats_sorted":["physics.atm-clus"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-02-06T02:07:01Z","title_canon_sha256":"f36563f8d07f590229bf224fefc035ae664c71bd317aef9e4bd42f1193509460"},"schema_version":"1.0","source":{"id":"1502.01775","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.01775","created_at":"2026-05-18T01:33:48Z"},{"alias_kind":"arxiv_version","alias_value":"1502.01775v4","created_at":"2026-05-18T01:33:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.01775","created_at":"2026-05-18T01:33:48Z"},{"alias_kind":"pith_short_12","alias_value":"62LZFIC4I5W7","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"62LZFIC4I5W73ERV","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"62LZFIC4","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:d33ebc4d36b6d17298865a44d4979b854eb9f44be6b9df2b7722e12c001c3617","target":"graph","created_at":"2026-05-18T01:33:48Z","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"},"paper":{"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","authors_text":"Alexei M. Frolov","cross_cats":["physics.atm-clus"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-02-06T02:07:01Z","title":"On the interpolation formula for the bound state energies of atomic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.01775","kind":"arxiv","version":4},"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:dc8b30ab79c243b012780d91fd292d2500faf2ee18ba78ee98d2eab13ffd872c","target":"record","created_at":"2026-05-18T01:33:48Z","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":"c421ee579f55ed954b6d631dcfd08ca2dbb4f5d0528ee1a9aacc0f0673875e8f","cross_cats_sorted":["physics.atm-clus"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.atom-ph","submitted_at":"2015-02-06T02:07:01Z","title_canon_sha256":"f36563f8d07f590229bf224fefc035ae664c71bd317aef9e4bd42f1193509460"},"schema_version":"1.0","source":{"id":"1502.01775","kind":"arxiv","version":4}},"canonical_sha256":"f69792a05c476dfd9235aa30cc3b87d95df1ea15d0d7bebc2cca25b50e3b48db","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f69792a05c476dfd9235aa30cc3b87d95df1ea15d0d7bebc2cca25b50e3b48db","first_computed_at":"2026-05-18T01:33:48.752191Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:33:48.752191Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TORwnxPVd/yiHvXRGCyJGyOQFJhgT6RstptIy/1Jd+t0A+mw+82YvLC8NWSrOfPKlz2TA8a9uX2D2XznWGvkBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:33:48.752799Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.01775","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc8b30ab79c243b012780d91fd292d2500faf2ee18ba78ee98d2eab13ffd872c","sha256:d33ebc4d36b6d17298865a44d4979b854eb9f44be6b9df2b7722e12c001c3617"],"state_sha256":"95efeddca8c0215c5c14465b97e3499d698da58dab40979fcdeae1875b678ae8"}