{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:UV4XFRAZL4LWYDUMVVPUCLCRKL","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":"16bfa9c885ff84b2f4dcbd686129a4dd7523eee0de9f2ac7a0523f260c541f11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2009-08-05T06:07:12Z","title_canon_sha256":"573134f3da68ad7a780298eb2ea7ef6776d82bc99351e655036bfe58ed6f809b"},"schema_version":"1.0","source":{"id":"0908.0593","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.0593","created_at":"2026-05-18T04:14:53Z"},{"alias_kind":"arxiv_version","alias_value":"0908.0593v4","created_at":"2026-05-18T04:14:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0593","created_at":"2026-05-18T04:14:53Z"},{"alias_kind":"pith_short_12","alias_value":"UV4XFRAZL4LW","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"UV4XFRAZL4LWYDUM","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"UV4XFRAZ","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:806bf3cd11e2978ae7cfb8653070af6c941573c68f45b02f991779534a7a4abd","target":"graph","created_at":"2026-05-18T04:14:53Z","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":"A systematic strategy for the calculation of density functionals (DFs) consists in coding informations about the density and the energy into polynomials of the degrees of freedom of wave functions. DFs and Kohn-Sham potentials (KSPs) are then obtained by standard elimination procedures of such degrees of freedom between the polynomials. Numerical examples illustrate the formalism.","authors_text":"B. G. Giraud, S. Karataglidis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2009-08-05T06:07:12Z","title":"Algebraic Density Functionals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0593","kind":"arxiv","version":4},"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:b9740de99dcbd609fdd6a4fed69042652f92fa8c6a41b434f94703f4c6e03bd5","target":"record","created_at":"2026-05-18T04:14:53Z","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":"16bfa9c885ff84b2f4dcbd686129a4dd7523eee0de9f2ac7a0523f260c541f11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nucl-th","submitted_at":"2009-08-05T06:07:12Z","title_canon_sha256":"573134f3da68ad7a780298eb2ea7ef6776d82bc99351e655036bfe58ed6f809b"},"schema_version":"1.0","source":{"id":"0908.0593","kind":"arxiv","version":4}},"canonical_sha256":"a57972c4195f176c0e8cad5f412c5152d24d7fcc1923fb2b75438797512f00cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a57972c4195f176c0e8cad5f412c5152d24d7fcc1923fb2b75438797512f00cf","first_computed_at":"2026-05-18T04:14:53.684993Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:14:53.684993Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"g2/VQd8UrNXdCTZRUyzcXGvnWsTQJkLynylZmixK45CiBKjxsNgVUQfzuL5LRT4QrtlBSFvW0el4qA0F4fkQAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:14:53.685588Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.0593","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b9740de99dcbd609fdd6a4fed69042652f92fa8c6a41b434f94703f4c6e03bd5","sha256:806bf3cd11e2978ae7cfb8653070af6c941573c68f45b02f991779534a7a4abd"],"state_sha256":"6da44c2a55c5632fe3331206d0abd6f86c38b43ac5080a16e1f81610b01cea80"}