{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:HWOTY6NEMMQ6H45M35X6VQ6GBF","short_pith_number":"pith:HWOTY6NE","schema_version":"1.0","canonical_sha256":"3d9d3c79a46321e3f3acdf6feac3c6096aa2e2ecab829796cb03183cb9ead198","source":{"kind":"arxiv","id":"1607.05464","version":1},"attestation_state":"computed","paper":{"title":"Functional theories of thermoelectric phenomena","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"F. G. Eich, G. Vignale, M. Di Ventra","submitted_at":"2016-07-19T08:48:53Z","abstract_excerpt":"We review the progress that has been recently made in the application of time-dependent density functional theory to thermoelectric phenomena. As the field is very young, we emphasize open problems and fundamental issues. We begin by introducing the formal structure of \\emph{thermal density functional theory}, a density functional theory with two basic variables -- the density and the energy density -- and two conjugate fields -- the ordinary scalar potential and Luttinger's thermomechanical potential. The static version of this theory is contrasted with the familiar finite-temperature density"},"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":"1607.05464","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2016-07-19T08:48:53Z","cross_cats_sorted":[],"title_canon_sha256":"b27b5ffdc65f8cfea66fc3f133d359e92f5717e6c99c7ea0dc72d0af1443b6e7","abstract_canon_sha256":"a081fe9f2c114364535ab0c627bc6695688e77f0f93cbdf541111977264ac9f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:45:48.931096Z","signature_b64":"ni4EWjIdutUocbDifJ9z0YWQyQjLw9MVAqaIOVRKHx5gZyTRX12oqVqx6ubdLLr9ydAaVvJRd8KBcpNBZhRqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d9d3c79a46321e3f3acdf6feac3c6096aa2e2ecab829796cb03183cb9ead198","last_reissued_at":"2026-05-18T00:45:48.930587Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:45:48.930587Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Functional theories of thermoelectric phenomena","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"F. G. Eich, G. Vignale, M. Di Ventra","submitted_at":"2016-07-19T08:48:53Z","abstract_excerpt":"We review the progress that has been recently made in the application of time-dependent density functional theory to thermoelectric phenomena. As the field is very young, we emphasize open problems and fundamental issues. We begin by introducing the formal structure of \\emph{thermal density functional theory}, a density functional theory with two basic variables -- the density and the energy density -- and two conjugate fields -- the ordinary scalar potential and Luttinger's thermomechanical potential. The static version of this theory is contrasted with the familiar finite-temperature density"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.05464","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":"1607.05464","created_at":"2026-05-18T00:45:48.930662+00:00"},{"alias_kind":"arxiv_version","alias_value":"1607.05464v1","created_at":"2026-05-18T00:45:48.930662+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.05464","created_at":"2026-05-18T00:45:48.930662+00:00"},{"alias_kind":"pith_short_12","alias_value":"HWOTY6NEMMQ6","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_16","alias_value":"HWOTY6NEMMQ6H45M","created_at":"2026-05-18T12:30:22.444734+00:00"},{"alias_kind":"pith_short_8","alias_value":"HWOTY6NE","created_at":"2026-05-18T12:30:22.444734+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/HWOTY6NEMMQ6H45M35X6VQ6GBF","json":"https://pith.science/pith/HWOTY6NEMMQ6H45M35X6VQ6GBF.json","graph_json":"https://pith.science/api/pith-number/HWOTY6NEMMQ6H45M35X6VQ6GBF/graph.json","events_json":"https://pith.science/api/pith-number/HWOTY6NEMMQ6H45M35X6VQ6GBF/events.json","paper":"https://pith.science/paper/HWOTY6NE"},"agent_actions":{"view_html":"https://pith.science/pith/HWOTY6NEMMQ6H45M35X6VQ6GBF","download_json":"https://pith.science/pith/HWOTY6NEMMQ6H45M35X6VQ6GBF.json","view_paper":"https://pith.science/paper/HWOTY6NE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1607.05464&json=true","fetch_graph":"https://pith.science/api/pith-number/HWOTY6NEMMQ6H45M35X6VQ6GBF/graph.json","fetch_events":"https://pith.science/api/pith-number/HWOTY6NEMMQ6H45M35X6VQ6GBF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HWOTY6NEMMQ6H45M35X6VQ6GBF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HWOTY6NEMMQ6H45M35X6VQ6GBF/action/storage_attestation","attest_author":"https://pith.science/pith/HWOTY6NEMMQ6H45M35X6VQ6GBF/action/author_attestation","sign_citation":"https://pith.science/pith/HWOTY6NEMMQ6H45M35X6VQ6GBF/action/citation_signature","submit_replication":"https://pith.science/pith/HWOTY6NEMMQ6H45M35X6VQ6GBF/action/replication_record"}},"created_at":"2026-05-18T00:45:48.930662+00:00","updated_at":"2026-05-18T00:45:48.930662+00:00"}