{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:7OKGSHYK57XEUHTJ4GFVWRQWWD","short_pith_number":"pith:7OKGSHYK","schema_version":"1.0","canonical_sha256":"fb94691f0aefee4a1e69e18b5b4616b0e1e5479407b111619e3f45e21a8a8c45","source":{"kind":"arxiv","id":"1601.06553","version":1},"attestation_state":"computed","paper":{"title":"Density Functional Theory Based on the Electron Distribution on the Energy Coordinate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Hideaki Takahashi","submitted_at":"2016-01-25T10:48:15Z","abstract_excerpt":"We introduced a new electron density n({\\epsilon}) by projecting the spatial electron density n(r) onto the energy coordinate {\\epsilon} defined with the external potential \\upsion (r) of interest. Then, a density functional theory (DFT) was formulated, where n({\\epsilon}) serves as a fundamental variable for the electronic energy. It was demonstrated that the Kohn-Sham equation can also be adapted to the DFT that employs the density n({\\epsilon}) as an argument to the exchange energy functional. An important attribute of the energy density is that it involves the spatially non-local populatio"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1601.06553","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.chem-ph","submitted_at":"2016-01-25T10:48:15Z","cross_cats_sorted":[],"title_canon_sha256":"9684aa6cd5bc3cbfe1893214d1b45cca37d4b30a8b0a921b7608034b8cae90f6","abstract_canon_sha256":"510282bffa359e1e1f3e5cec3122c4382cb34ded02695b3ca63d65dbf8bbddec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:09.586903Z","signature_b64":"lU+Twyc8Hi76mL2sFebBbbx8NLUQsoMXfta+Vanueii/y0gKE5J5GLkMf1I4jxCxpAJDctZ0taiOGFhladH6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb94691f0aefee4a1e69e18b5b4616b0e1e5479407b111619e3f45e21a8a8c45","last_reissued_at":"2026-05-18T00:23:09.586159Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:09.586159Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Density Functional Theory Based on the Electron Distribution on the Energy Coordinate","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.chem-ph","authors_text":"Hideaki Takahashi","submitted_at":"2016-01-25T10:48:15Z","abstract_excerpt":"We introduced a new electron density n({\\epsilon}) by projecting the spatial electron density n(r) onto the energy coordinate {\\epsilon} defined with the external potential \\upsion (r) of interest. Then, a density functional theory (DFT) was formulated, where n({\\epsilon}) serves as a fundamental variable for the electronic energy. It was demonstrated that the Kohn-Sham equation can also be adapted to the DFT that employs the density n({\\epsilon}) as an argument to the exchange energy functional. An important attribute of the energy density is that it involves the spatially non-local populatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06553","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1601.06553","created_at":"2026-05-18T00:23:09.586285+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.06553v1","created_at":"2026-05-18T00:23:09.586285+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06553","created_at":"2026-05-18T00:23:09.586285+00:00"},{"alias_kind":"pith_short_12","alias_value":"7OKGSHYK57XE","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_16","alias_value":"7OKGSHYK57XEUHTJ","created_at":"2026-05-18T12:30:04.600751+00:00"},{"alias_kind":"pith_short_8","alias_value":"7OKGSHYK","created_at":"2026-05-18T12:30:04.600751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7OKGSHYK57XEUHTJ4GFVWRQWWD","json":"https://pith.science/pith/7OKGSHYK57XEUHTJ4GFVWRQWWD.json","graph_json":"https://pith.science/api/pith-number/7OKGSHYK57XEUHTJ4GFVWRQWWD/graph.json","events_json":"https://pith.science/api/pith-number/7OKGSHYK57XEUHTJ4GFVWRQWWD/events.json","paper":"https://pith.science/paper/7OKGSHYK"},"agent_actions":{"view_html":"https://pith.science/pith/7OKGSHYK57XEUHTJ4GFVWRQWWD","download_json":"https://pith.science/pith/7OKGSHYK57XEUHTJ4GFVWRQWWD.json","view_paper":"https://pith.science/paper/7OKGSHYK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.06553&json=true","fetch_graph":"https://pith.science/api/pith-number/7OKGSHYK57XEUHTJ4GFVWRQWWD/graph.json","fetch_events":"https://pith.science/api/pith-number/7OKGSHYK57XEUHTJ4GFVWRQWWD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7OKGSHYK57XEUHTJ4GFVWRQWWD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7OKGSHYK57XEUHTJ4GFVWRQWWD/action/storage_attestation","attest_author":"https://pith.science/pith/7OKGSHYK57XEUHTJ4GFVWRQWWD/action/author_attestation","sign_citation":"https://pith.science/pith/7OKGSHYK57XEUHTJ4GFVWRQWWD/action/citation_signature","submit_replication":"https://pith.science/pith/7OKGSHYK57XEUHTJ4GFVWRQWWD/action/replication_record"}},"created_at":"2026-05-18T00:23:09.586285+00:00","updated_at":"2026-05-18T00:23:09.586285+00:00"}