{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:A4LNCH6KO6MHD66N62DJSXSYKO","short_pith_number":"pith:A4LNCH6K","schema_version":"1.0","canonical_sha256":"0716d11fca779871fbcdf686995e5853915a4d0886a2034ad456d9420090a0aa","source":{"kind":"arxiv","id":"1312.3448","version":3},"attestation_state":"computed","paper":{"title":"Theory of Charge and Heat Polarizations with the Keldysh Formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Atsuo Shitade","submitted_at":"2013-12-12T11:23:15Z","abstract_excerpt":"We investigate the heat polarization, a heat analog of the charge polarization, by using the gauge-covariant Keldysh formalism. In contrast to the charge-heat analogy naively expected, we find that the heat polarization does not appear spontaneously, since it consists not only of the heat-transfer contribution but of the heat-generation contribution, leading to the Mott rule. Nonetheless, it can be induced by a torsional magnetic field in $(3+1)$-D topological insulators and superconductors, which is described by the temporal part of the Nieh-Yan action."},"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":"1312.3448","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mes-hall","submitted_at":"2013-12-12T11:23:15Z","cross_cats_sorted":[],"title_canon_sha256":"d3c8a4e1baf8c2a9b63434451fbd95b8103aebcc1aedcdfb970fcd96ae9559cb","abstract_canon_sha256":"7f9dc737b1befca9a0b14a21fc78c8bf7aacb2a94918a734aaa10a50e2345852"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:52.200922Z","signature_b64":"pzXg+9lRpmVPjYh+yuYQzXex4AnOLQKLDAAxuBcBrJ/nC/rC833mgeoZA4VHNvhVwPcwScoVcS1rssUaB06NAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0716d11fca779871fbcdf686995e5853915a4d0886a2034ad456d9420090a0aa","last_reissued_at":"2026-05-18T02:57:52.200325Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:52.200325Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Theory of Charge and Heat Polarizations with the Keldysh Formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mes-hall","authors_text":"Atsuo Shitade","submitted_at":"2013-12-12T11:23:15Z","abstract_excerpt":"We investigate the heat polarization, a heat analog of the charge polarization, by using the gauge-covariant Keldysh formalism. In contrast to the charge-heat analogy naively expected, we find that the heat polarization does not appear spontaneously, since it consists not only of the heat-transfer contribution but of the heat-generation contribution, leading to the Mott rule. Nonetheless, it can be induced by a torsional magnetic field in $(3+1)$-D topological insulators and superconductors, which is described by the temporal part of the Nieh-Yan action."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.3448","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":"1312.3448","created_at":"2026-05-18T02:57:52.200433+00:00"},{"alias_kind":"arxiv_version","alias_value":"1312.3448v3","created_at":"2026-05-18T02:57:52.200433+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.3448","created_at":"2026-05-18T02:57:52.200433+00:00"},{"alias_kind":"pith_short_12","alias_value":"A4LNCH6KO6MH","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_16","alias_value":"A4LNCH6KO6MHD66N","created_at":"2026-05-18T12:27:38.830355+00:00"},{"alias_kind":"pith_short_8","alias_value":"A4LNCH6K","created_at":"2026-05-18T12:27:38.830355+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/A4LNCH6KO6MHD66N62DJSXSYKO","json":"https://pith.science/pith/A4LNCH6KO6MHD66N62DJSXSYKO.json","graph_json":"https://pith.science/api/pith-number/A4LNCH6KO6MHD66N62DJSXSYKO/graph.json","events_json":"https://pith.science/api/pith-number/A4LNCH6KO6MHD66N62DJSXSYKO/events.json","paper":"https://pith.science/paper/A4LNCH6K"},"agent_actions":{"view_html":"https://pith.science/pith/A4LNCH6KO6MHD66N62DJSXSYKO","download_json":"https://pith.science/pith/A4LNCH6KO6MHD66N62DJSXSYKO.json","view_paper":"https://pith.science/paper/A4LNCH6K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1312.3448&json=true","fetch_graph":"https://pith.science/api/pith-number/A4LNCH6KO6MHD66N62DJSXSYKO/graph.json","fetch_events":"https://pith.science/api/pith-number/A4LNCH6KO6MHD66N62DJSXSYKO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A4LNCH6KO6MHD66N62DJSXSYKO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A4LNCH6KO6MHD66N62DJSXSYKO/action/storage_attestation","attest_author":"https://pith.science/pith/A4LNCH6KO6MHD66N62DJSXSYKO/action/author_attestation","sign_citation":"https://pith.science/pith/A4LNCH6KO6MHD66N62DJSXSYKO/action/citation_signature","submit_replication":"https://pith.science/pith/A4LNCH6KO6MHD66N62DJSXSYKO/action/replication_record"}},"created_at":"2026-05-18T02:57:52.200433+00:00","updated_at":"2026-05-18T02:57:52.200433+00:00"}