{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:2KKSXWDRZZ6O66OWTUD5DCSAN6","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":"34f4501aa1387d3829186cd49755fe8ad900436a9f0c1357d010daf9d183cc60","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-04-23T01:31:41Z","title_canon_sha256":"f27c47b7fbc7052b8d4f8eb5e5f1b995fecbd590f4d8a3cba65f6935b01afaa7"},"schema_version":"1.0","source":{"id":"2404.14655","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.14655","created_at":"2026-07-05T08:11:08Z"},{"alias_kind":"arxiv_version","alias_value":"2404.14655v1","created_at":"2026-07-05T08:11:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.14655","created_at":"2026-07-05T08:11:08Z"},{"alias_kind":"pith_short_12","alias_value":"2KKSXWDRZZ6O","created_at":"2026-07-05T08:11:08Z"},{"alias_kind":"pith_short_16","alias_value":"2KKSXWDRZZ6O66OW","created_at":"2026-07-05T08:11:08Z"},{"alias_kind":"pith_short_8","alias_value":"2KKSXWDR","created_at":"2026-07-05T08:11:08Z"}],"graph_snapshots":[{"event_id":"sha256:20a502fc33a6767ab2de6c577a22382463dd6620c7716fa5238926edffe52311","target":"graph","created_at":"2026-07-05T08:11:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.14655/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We explore Riemannian optimization methods for Restricted-Open-shell Hartree-Fock (ROHF) and Complete Active Space Self-Consistent Field (CASSCF) methods. After showing that ROHF and CASSCF can be reformulated as optimization problems on so-called flag manifolds, we review Riemannian optimization basics and their application to these specific problems. We compare these methods to traditional ones and find robust convergence properties without fine-tuning of numerical parameters. Our study suggests Riemannian optimization as a valuable addition to orbital optimization for ROHF and CASSCF, warra","authors_text":"Eric Canc\\`es, Filippo Lipparini, Laurent Vidal, Tommaso Nottoli","cross_cats":["quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-04-23T01:31:41Z","title":"Geometric Optimization of Restricted-Open and Complete Active Space Self-Consistent Field Wavefunctions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.14655","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":"sha256:7a4120f1c7c2f7dae05fe3f741c3492c8adbbb7a93b63dcb6a09a7d82d97466a","target":"record","created_at":"2026-07-05T08:11:08Z","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":"34f4501aa1387d3829186cd49755fe8ad900436a9f0c1357d010daf9d183cc60","cross_cats_sorted":["quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.OC","submitted_at":"2024-04-23T01:31:41Z","title_canon_sha256":"f27c47b7fbc7052b8d4f8eb5e5f1b995fecbd590f4d8a3cba65f6935b01afaa7"},"schema_version":"1.0","source":{"id":"2404.14655","kind":"arxiv","version":1}},"canonical_sha256":"d2952bd871ce7cef79d69d07d18a406f8780d4233a699285314544659d55d0c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d2952bd871ce7cef79d69d07d18a406f8780d4233a699285314544659d55d0c6","first_computed_at":"2026-07-05T08:11:08.064054Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:11:08.064054Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"taybTrKyaCyVgRo23SnkFyQcDj0vK2zuwcWCHagA2eoRJPwxDwT67xaRmpyfJN0aXCTvvSBMmZu9dxAVuEAWAA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:11:08.064489Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.14655","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a4120f1c7c2f7dae05fe3f741c3492c8adbbb7a93b63dcb6a09a7d82d97466a","sha256:20a502fc33a6767ab2de6c577a22382463dd6620c7716fa5238926edffe52311"],"state_sha256":"cc7d4d3a383ec9d23e88d013a815fded21084fad3007899515e353d383d5df96"}