{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:2NUIE62CKXFOI3DXOZ42MFSBI4","short_pith_number":"pith:2NUIE62C","schema_version":"1.0","canonical_sha256":"d368827b4255cae46c777679a61641472ef258eafe102f98a43efd9207d7a630","source":{"kind":"arxiv","id":"1308.2311","version":3},"attestation_state":"computed","paper":{"title":"Density-Functional Theory of Thermoelectric Phenomena","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"F. G. Eich, G. Vignale, M. Di Ventra","submitted_at":"2013-08-10T13:33:43Z","abstract_excerpt":"We introduce a non-equilibrium density-functional theory of local temperature and associated local energy density that is suited for the study of thermoelectric phenomena. The theory rests on a local temperature field coupled to the energy-density operator. We identify the excess-energy density, in addition to the particle density, as the basic variable, which is reproduced by an effective noninteracting Kohn-Sham system. A novel Kohn-Sham equation emerges featuring a time-dependent and spatially varying mass which represents local temperature variations. The adiabatic contribution to the Kohn"},"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":"1308.2311","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2013-08-10T13:33:43Z","cross_cats_sorted":[],"title_canon_sha256":"7c8c9ce00fcadf9214b8492e16b9a73192b10a12d3560292e86ed03b9389905b","abstract_canon_sha256":"e1069f64995396d3b29d4ec40df2d195e01a99018c060e81c10f7b5860268fa6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:51:49.607356Z","signature_b64":"gyWyZsc8+cREfoty9e/Zuy1KLfmLpqm5Uj38ReAgCAzeaNoVQIu7nWjHiI1rq0TjoY/urNYBjXZjBZmFZtGdAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d368827b4255cae46c777679a61641472ef258eafe102f98a43efd9207d7a630","last_reissued_at":"2026-05-18T02:51:49.606875Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:51:49.606875Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Density-Functional Theory of Thermoelectric Phenomena","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"F. G. Eich, G. Vignale, M. Di Ventra","submitted_at":"2013-08-10T13:33:43Z","abstract_excerpt":"We introduce a non-equilibrium density-functional theory of local temperature and associated local energy density that is suited for the study of thermoelectric phenomena. The theory rests on a local temperature field coupled to the energy-density operator. We identify the excess-energy density, in addition to the particle density, as the basic variable, which is reproduced by an effective noninteracting Kohn-Sham system. A novel Kohn-Sham equation emerges featuring a time-dependent and spatially varying mass which represents local temperature variations. The adiabatic contribution to the Kohn"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.2311","kind":"arxiv","version":3},"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":"1308.2311","created_at":"2026-05-18T02:51:49.606940+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.2311v3","created_at":"2026-05-18T02:51:49.606940+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.2311","created_at":"2026-05-18T02:51:49.606940+00:00"},{"alias_kind":"pith_short_12","alias_value":"2NUIE62CKXFO","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"2NUIE62CKXFOI3DX","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"2NUIE62C","created_at":"2026-05-18T12:27:32.513160+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/2NUIE62CKXFOI3DXOZ42MFSBI4","json":"https://pith.science/pith/2NUIE62CKXFOI3DXOZ42MFSBI4.json","graph_json":"https://pith.science/api/pith-number/2NUIE62CKXFOI3DXOZ42MFSBI4/graph.json","events_json":"https://pith.science/api/pith-number/2NUIE62CKXFOI3DXOZ42MFSBI4/events.json","paper":"https://pith.science/paper/2NUIE62C"},"agent_actions":{"view_html":"https://pith.science/pith/2NUIE62CKXFOI3DXOZ42MFSBI4","download_json":"https://pith.science/pith/2NUIE62CKXFOI3DXOZ42MFSBI4.json","view_paper":"https://pith.science/paper/2NUIE62C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.2311&json=true","fetch_graph":"https://pith.science/api/pith-number/2NUIE62CKXFOI3DXOZ42MFSBI4/graph.json","fetch_events":"https://pith.science/api/pith-number/2NUIE62CKXFOI3DXOZ42MFSBI4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2NUIE62CKXFOI3DXOZ42MFSBI4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2NUIE62CKXFOI3DXOZ42MFSBI4/action/storage_attestation","attest_author":"https://pith.science/pith/2NUIE62CKXFOI3DXOZ42MFSBI4/action/author_attestation","sign_citation":"https://pith.science/pith/2NUIE62CKXFOI3DXOZ42MFSBI4/action/citation_signature","submit_replication":"https://pith.science/pith/2NUIE62CKXFOI3DXOZ42MFSBI4/action/replication_record"}},"created_at":"2026-05-18T02:51:49.606940+00:00","updated_at":"2026-05-18T02:51:49.606940+00:00"}