{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NDOLJ6UE7VH2FTITKFR4ATOFYR","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":"a3e359fb8add6365df6e645945135911f09a7e00db69ba0571d3c1571ff97530","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-02T13:03:59Z","title_canon_sha256":"1ec405bbd10890ce010ff98234a823c0374db73e203ed5cefe3d73b29b604f2c"},"schema_version":"1.0","source":{"id":"1804.00475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.00475","created_at":"2026-05-18T00:09:15Z"},{"alias_kind":"arxiv_version","alias_value":"1804.00475v1","created_at":"2026-05-18T00:09:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.00475","created_at":"2026-05-18T00:09:15Z"},{"alias_kind":"pith_short_12","alias_value":"NDOLJ6UE7VH2","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NDOLJ6UE7VH2FTIT","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NDOLJ6UE","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:fb02f9f41e53f73a79d11380ff231f2ce690fe4a8a0076c90b6690b928424c34","target":"graph","created_at":"2026-05-18T00:09:15Z","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":"It is known that the asymptotic decay of the electron density outside a molecule is informative about its first ionization potential. It has recently become clear that the special circumstance that the Kohn-Sham (KS) highest-occupied molecular orbital (HOMO) has a nodal plane that extends to infinity may give rise to different cases for the asymptotic behavior of the exact density and of the exact KS potential [Mol. Phys. 114 (2016) 1086]. Here we investigate the consequences of such a HOMO nodal plane for the effective potential in the Schr\\\"odinger-like equation for the square root of the de","authors_text":"Evert Jan Baerends, Paola Gori-Giorgi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-02T13:03:59Z","title":"Asymptotic nodal planes in the electron density and the potential in the effective equation for the square root of the density"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.00475","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":"sha256:458d3f8c142632435db10abcb1abbc8bf8fbb57b2a9779160ebf62e716534fc5","target":"record","created_at":"2026-05-18T00:09:15Z","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":"a3e359fb8add6365df6e645945135911f09a7e00db69ba0571d3c1571ff97530","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2018-04-02T13:03:59Z","title_canon_sha256":"1ec405bbd10890ce010ff98234a823c0374db73e203ed5cefe3d73b29b604f2c"},"schema_version":"1.0","source":{"id":"1804.00475","kind":"arxiv","version":1}},"canonical_sha256":"68dcb4fa84fd4fa2cd135163c04dc5c45c2a61e44e80a294523e38b25a3307dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68dcb4fa84fd4fa2cd135163c04dc5c45c2a61e44e80a294523e38b25a3307dd","first_computed_at":"2026-05-18T00:09:15.106076Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:09:15.106076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s32Xl8y8UbqEWl90Fc8DiD5znDBjDwQLS4zFGiTehkz07cIZScGFod4m+zMHqFxsfWyUk/odJjgx2niJXhn8Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:09:15.106708Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.00475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:458d3f8c142632435db10abcb1abbc8bf8fbb57b2a9779160ebf62e716534fc5","sha256:fb02f9f41e53f73a79d11380ff231f2ce690fe4a8a0076c90b6690b928424c34"],"state_sha256":"51d916ab317e193ec4e0c6f0c8dea0475f974fc37fab76966c1eaca4152467d8"}