{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VBE6AIXCOPRWWOCQQ2CHTZOIXF","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":"c358b08ba55694bc0487e9d4df843d2211925003ad04868df545e2257d80461a","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-10-09T22:19:53Z","title_canon_sha256":"5e96fc349309bca76d686613612fba2055abaecbec2bcdbb75c663e4545834cd"},"schema_version":"1.0","source":{"id":"1410.2641","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1410.2641","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"arxiv_version","alias_value":"1410.2641v1","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1410.2641","created_at":"2026-05-18T01:41:49Z"},{"alias_kind":"pith_short_12","alias_value":"VBE6AIXCOPRW","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"VBE6AIXCOPRWWOCQ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"VBE6AIXC","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:9b6803d19c147cb5e9412845aab8d32ddea391c3571aee01b9da7b72c7a17a13","target":"graph","created_at":"2026-05-18T01:41:49Z","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":"The stretching of closed-shell molecules is a qualitative problem for restricted Hartree-Fock that is usually circumvented by the use of unrestricted Hartree-Fock (UHF). UHF is well known to break the spin symmetry at the Coulson-Fischer point, leading to a discontinuous derivative in the potential energy surface and incorrect spin density. However, this is generally not considered as a major drawback. In this work, we present a set of two electron molecules which magnify the problem of symmetry breaking and lead to drastically incorrect potential energy surfaces with UHF. These molecules also","authors_text":"Aron J. Cohen, Paula Mori-S\\'anchez","cross_cats":["cond-mat.other"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-10-09T22:19:53Z","title":"Qualitative breakdown of the unrestricted Hartree-Fock energy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.2641","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:d59234fb02ce619dce5898a9c756b0faf970e67073a4fa39d31cf997d4de810e","target":"record","created_at":"2026-05-18T01:41:49Z","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":"c358b08ba55694bc0487e9d4df843d2211925003ad04868df545e2257d80461a","cross_cats_sorted":["cond-mat.other"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2014-10-09T22:19:53Z","title_canon_sha256":"5e96fc349309bca76d686613612fba2055abaecbec2bcdbb75c663e4545834cd"},"schema_version":"1.0","source":{"id":"1410.2641","kind":"arxiv","version":1}},"canonical_sha256":"a849e022e273e36b3850868479e5c8b96582211fa4bf7ab09a046daebd89638a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a849e022e273e36b3850868479e5c8b96582211fa4bf7ab09a046daebd89638a","first_computed_at":"2026-05-18T01:41:49.559913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:49.559913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vwEGqVku0tqHeiiU6bnYDePy1PP/xh5WKqkqx3IcrkJsZouhGT10TOZ0fHgRuAaQTJ8VyW1Zfi7b3GGGCtZ4BA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:49.560588Z","signed_message":"canonical_sha256_bytes"},"source_id":"1410.2641","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d59234fb02ce619dce5898a9c756b0faf970e67073a4fa39d31cf997d4de810e","sha256:9b6803d19c147cb5e9412845aab8d32ddea391c3571aee01b9da7b72c7a17a13"],"state_sha256":"c37dfb70d15170da5defcb5efb17a7ba6c15c108f404c49c0f4ffb78affaad2f"}