{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:EW6CAJECKUMSM6CLYRJBKIRYBG","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":"6cf9f77dd2558b1e753b3f92640640297493c001024a6a499ce36a4713fa70dd","cross_cats_sorted":["cond-mat.other"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2024-03-07T15:53:58Z","title_canon_sha256":"1d43c1fcdcb998d1baa34b29fdeb1a6810da62ed7c9d379c9e12477395939c34"},"schema_version":"1.0","source":{"id":"2403.04604","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.04604","created_at":"2026-07-05T07:53:25Z"},{"alias_kind":"arxiv_version","alias_value":"2403.04604v1","created_at":"2026-07-05T07:53:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.04604","created_at":"2026-07-05T07:53:25Z"},{"alias_kind":"pith_short_12","alias_value":"EW6CAJECKUMS","created_at":"2026-07-05T07:53:25Z"},{"alias_kind":"pith_short_16","alias_value":"EW6CAJECKUMSM6CL","created_at":"2026-07-05T07:53:25Z"},{"alias_kind":"pith_short_8","alias_value":"EW6CAJEC","created_at":"2026-07-05T07:53:25Z"}],"graph_snapshots":[{"event_id":"sha256:4212c8c1e9da69994d85cbcf87a1605a398caf930c6c2cf98554678ef88b5ef1","target":"graph","created_at":"2026-07-05T07:53:25Z","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/2403.04604/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We extend ground-state density-functional theory to excited states and provide the theoretical formulation for the widely used $\\Delta SCF$ method for calculating excited-state energies and densities. As the electron density alone is insufficient to characterize excited states, we formulate excited-state theory using the defining variables of a noninteracting reference system, namely (1) the excitation quantum number $n_{s}$ and the potential $w_{s}(\\mathbf{r})$ (excited-state potential-functional theory, $n$PFT), (2) the noninteracting wavefunction $\\Phi$ ($\\Phi$-functional theory, $\\Phi$FT),","authors_text":"Paul W. Ayers, Weitao Yang","cross_cats":["cond-mat.other"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2024-03-07T15:53:58Z","title":"Foundation for the {\\Delta}SCF Approach in Density Functional Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.04604","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":"sha256:3f10e607c41e684677a14ee3e3a46bbf299c0f63206be0ca6fa6fd651b61b98b","target":"record","created_at":"2026-07-05T07:53:25Z","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":"6cf9f77dd2558b1e753b3f92640640297493c001024a6a499ce36a4713fa70dd","cross_cats_sorted":["cond-mat.other"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.chem-ph","submitted_at":"2024-03-07T15:53:58Z","title_canon_sha256":"1d43c1fcdcb998d1baa34b29fdeb1a6810da62ed7c9d379c9e12477395939c34"},"schema_version":"1.0","source":{"id":"2403.04604","kind":"arxiv","version":1}},"canonical_sha256":"25bc202482551926784bc45215223809916d68115b4d1170160781a40dda16f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25bc202482551926784bc45215223809916d68115b4d1170160781a40dda16f3","first_computed_at":"2026-07-05T07:53:25.780552Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:53:25.780552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8QQqfMvOMVH1djcQzW6+CnioQzQMO+fY0qUA/huB86rq3k5OhTdHxUkwowVdG5SpQH+jYBAdtQYTB2YSUy8qDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:53:25.781008Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.04604","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3f10e607c41e684677a14ee3e3a46bbf299c0f63206be0ca6fa6fd651b61b98b","sha256:4212c8c1e9da69994d85cbcf87a1605a398caf930c6c2cf98554678ef88b5ef1"],"state_sha256":"932a26f53f4b8376ec8041a318dfdadc60a54d31f11021322ed3f86ab2614c75"}