{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:U7UNUBCCUZZL2QWTLQMUKVEQGA","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":"673f09cce75cd1960c082bb8f8fcc2393948bb60e6e4ce86731df6ebd92cb16e","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-09-18T12:53:36Z","title_canon_sha256":"2a9783427c07ddf5ff1743a637ffd754c8f554aea1f4511771856076753a3ee1"},"schema_version":"1.0","source":{"id":"2409.13767","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.13767","created_at":"2026-07-05T10:52:37Z"},{"alias_kind":"arxiv_version","alias_value":"2409.13767v2","created_at":"2026-07-05T10:52:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.13767","created_at":"2026-07-05T10:52:37Z"},{"alias_kind":"pith_short_12","alias_value":"U7UNUBCCUZZL","created_at":"2026-07-05T10:52:37Z"},{"alias_kind":"pith_short_16","alias_value":"U7UNUBCCUZZL2QWT","created_at":"2026-07-05T10:52:37Z"},{"alias_kind":"pith_short_8","alias_value":"U7UNUBCC","created_at":"2026-07-05T10:52:37Z"}],"graph_snapshots":[{"event_id":"sha256:40cb6ca7eb74c74cc9f444db7896aa239fdadc34ad820b96f8dbf307294981f5","target":"graph","created_at":"2026-07-05T10:52:37Z","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/2409.13767/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A detailed analysis of density-functional theory for quantum-electrodynamical model systems is provided. In particular, the quantum Rabi model, the Dicke model, and a generalization of the latter to multiple modes are considered. We prove a Hohenberg-Kohn theorem that manifests the magnetization and displacement as internal variables, along with several representability results. The constrained-search functionals for pure states and ensembles are introduced and analyzed. We find the optimizers for the pure-state constrained-search functional to be low-lying eigenstates of the Hamiltonian and, ","authors_text":"Andre Laestadius, Markus Penz, Mih\\'aly A. Csirik, Vebj{\\o}rn H. Bakkestuen","cross_cats":["math.MP","quant-ph"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-09-18T12:53:36Z","title":"Density-functional theory for the Dicke Hamiltonian"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.13767","kind":"arxiv","version":2},"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:a73cc65bb9ee5ebd3bdb1af6a00ba78da5bd4fc30765604960b367302c866bd0","target":"record","created_at":"2026-07-05T10:52:37Z","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":"673f09cce75cd1960c082bb8f8fcc2393948bb60e6e4ce86731df6ebd92cb16e","cross_cats_sorted":["math.MP","quant-ph"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2024-09-18T12:53:36Z","title_canon_sha256":"2a9783427c07ddf5ff1743a637ffd754c8f554aea1f4511771856076753a3ee1"},"schema_version":"1.0","source":{"id":"2409.13767","kind":"arxiv","version":2}},"canonical_sha256":"a7e8da0442a672bd42d35c19455490300d7e5e878c1a67e6fa41d6b243a1b749","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7e8da0442a672bd42d35c19455490300d7e5e878c1a67e6fa41d6b243a1b749","first_computed_at":"2026-07-05T10:52:37.765795Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:52:37.765795Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OKcm9MqxJBilfLIfWROYwa5w/E/yb43BmTAUKgFsoA8mrfbCBJRElBU8cuU7o7jTnLyC4Leh6PP3b0x7wMnuCw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:52:37.766335Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.13767","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a73cc65bb9ee5ebd3bdb1af6a00ba78da5bd4fc30765604960b367302c866bd0","sha256:40cb6ca7eb74c74cc9f444db7896aa239fdadc34ad820b96f8dbf307294981f5"],"state_sha256":"e1d9f1d140f2202b8a949e223fa429004671c286fa3d3faa75a1817e70bb93a7"}