{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:XDRAN2F2445VCYYWHMODPTWRHE","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":"55994f0c71e5e7debb2d727bf153939a3582b0ce5b4a6c0d486d62e4f2a76518","cross_cats_sorted":["cs.IT","math.IT","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2009-04-07T13:49:38Z","title_canon_sha256":"901bdc861b849ce0aa9be22e6400c187aef8963271088a26b22648d377da7fb1"},"schema_version":"1.0","source":{"id":"0904.1144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.1144","created_at":"2026-05-18T02:14:07Z"},{"alias_kind":"arxiv_version","alias_value":"0904.1144v1","created_at":"2026-05-18T02:14:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.1144","created_at":"2026-05-18T02:14:07Z"},{"alias_kind":"pith_short_12","alias_value":"XDRAN2F2445V","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"XDRAN2F2445VCYYW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"XDRAN2F2","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:7c7f8f032b9246f518a855b5da85380dbfef18bf79ea0489cce1487ad711d1e1","target":"graph","created_at":"2026-05-18T02:14:07Z","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":"In this work, the calculation of a statistical measure of complexity and the Fisher-Shannon information is performed for all the atoms in the periodic table. Non-relativistic and relativistic cases are considered. We follow the method suggested in [C.P. Panos, N.S. Nikolaidis, K. Ch. Chatzisavvas, C.C. Tsouros, arXiv:0812.3963v1] that uses the fractional occupation probabilities of electrons in atomic orbitals, instead of the continuous electronic wave functions. For the order of shell filling in the relativistic case, we take into account the effect due to electronic spin-orbit interaction. T","authors_text":"Jaime Sanudo, Ricardo Lopez-Ruiz","cross_cats":["cs.IT","math.IT","physics.atom-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2009-04-07T13:49:38Z","title":"Alternative evaluation of statistical indicators in atoms: the non-relativistic and relativistic cases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.1144","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":"sha256:8b099e8b08d05500d84a7051d65a36e37737714736464248ff9e2bde8a7039f9","target":"record","created_at":"2026-05-18T02:14:07Z","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":"55994f0c71e5e7debb2d727bf153939a3582b0ce5b4a6c0d486d62e4f2a76518","cross_cats_sorted":["cs.IT","math.IT","physics.atom-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2009-04-07T13:49:38Z","title_canon_sha256":"901bdc861b849ce0aa9be22e6400c187aef8963271088a26b22648d377da7fb1"},"schema_version":"1.0","source":{"id":"0904.1144","kind":"arxiv","version":1}},"canonical_sha256":"b8e206e8bae73b5163163b1c37ced139272d4c11bd1c2f72eb62954c6eb7da50","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8e206e8bae73b5163163b1c37ced139272d4c11bd1c2f72eb62954c6eb7da50","first_computed_at":"2026-05-18T02:14:07.039530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:07.039530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xSmZePNGUkAnh06ZGwFimd2RwAzkDdV5xlpnGI2EQea2GW9rRoAfZYxmNA0pfTBZaj9uXGntKSWNj5i21ub0Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:07.040139Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.1144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b099e8b08d05500d84a7051d65a36e37737714736464248ff9e2bde8a7039f9","sha256:7c7f8f032b9246f518a855b5da85380dbfef18bf79ea0489cce1487ad711d1e1"],"state_sha256":"099eaae961a58417385afe1eec26fcffc0d08ea6c519621cbf92047302853392"}