{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:7NGTAF352XBCVWJESD4ZAAQM7C","short_pith_number":"pith:7NGTAF35","schema_version":"1.0","canonical_sha256":"fb4d30177dd5c22ad92490f990020cf8963de9f63bb7e504b3ee6fdc8c2d2713","source":{"kind":"arxiv","id":"1710.03711","version":2},"attestation_state":"computed","paper":{"title":"On the Calculation of Lorenz Numbers for Complex Thermoelectric Materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Jesse Maassen, Mark Lundstrom, Vahid Askarpour, Xufeng Wang","submitted_at":"2017-10-10T16:35:26Z","abstract_excerpt":"A first-principles informed approach to the calculation of Lorenz numbers for complex thermoelectric materials is presented and discussed. Example calculations illustrate the importance of using accurate band structures and energy-dependent scattering times. Results obtained by assuming that the scattering rate follows the density-of-states show that in the non-degenerate limit, Lorenz numbers below the commonly assumed lower limit of 2(kB/q)^2 can occur. The physical cause of low Lorenz numbers is explained by the shape of the transport distribution. The numerical and physical issues that nee"},"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":"1710.03711","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2017-10-10T16:35:26Z","cross_cats_sorted":[],"title_canon_sha256":"7ae6bca29d7bded545f935a40c83a318e00882d5ef9b099fa1cd7c941b2addba","abstract_canon_sha256":"77bc5fb15b2bef4fbddd58ed7f74b39ee4e73e855e2d8e1fbf3222621d8b3388"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:10.551756Z","signature_b64":"61HZ+D5OmrcrspH1VSA4mqyc0PKvI8bVwPXJFAiOkunhD3kd+yPVF4XomPJuqJ/dfdULK5f/r8OiKCsKp9zgAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fb4d30177dd5c22ad92490f990020cf8963de9f63bb7e504b3ee6fdc8c2d2713","last_reissued_at":"2026-05-18T00:21:10.551286Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:10.551286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the Calculation of Lorenz Numbers for Complex Thermoelectric Materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"Jesse Maassen, Mark Lundstrom, Vahid Askarpour, Xufeng Wang","submitted_at":"2017-10-10T16:35:26Z","abstract_excerpt":"A first-principles informed approach to the calculation of Lorenz numbers for complex thermoelectric materials is presented and discussed. Example calculations illustrate the importance of using accurate band structures and energy-dependent scattering times. Results obtained by assuming that the scattering rate follows the density-of-states show that in the non-degenerate limit, Lorenz numbers below the commonly assumed lower limit of 2(kB/q)^2 can occur. The physical cause of low Lorenz numbers is explained by the shape of the transport distribution. The numerical and physical issues that nee"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.03711","kind":"arxiv","version":2},"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":"1710.03711","created_at":"2026-05-18T00:21:10.551374+00:00"},{"alias_kind":"arxiv_version","alias_value":"1710.03711v2","created_at":"2026-05-18T00:21:10.551374+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.03711","created_at":"2026-05-18T00:21:10.551374+00:00"},{"alias_kind":"pith_short_12","alias_value":"7NGTAF352XBC","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_16","alias_value":"7NGTAF352XBCVWJE","created_at":"2026-05-18T12:31:05.417338+00:00"},{"alias_kind":"pith_short_8","alias_value":"7NGTAF35","created_at":"2026-05-18T12:31:05.417338+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/7NGTAF352XBCVWJESD4ZAAQM7C","json":"https://pith.science/pith/7NGTAF352XBCVWJESD4ZAAQM7C.json","graph_json":"https://pith.science/api/pith-number/7NGTAF352XBCVWJESD4ZAAQM7C/graph.json","events_json":"https://pith.science/api/pith-number/7NGTAF352XBCVWJESD4ZAAQM7C/events.json","paper":"https://pith.science/paper/7NGTAF35"},"agent_actions":{"view_html":"https://pith.science/pith/7NGTAF352XBCVWJESD4ZAAQM7C","download_json":"https://pith.science/pith/7NGTAF352XBCVWJESD4ZAAQM7C.json","view_paper":"https://pith.science/paper/7NGTAF35","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1710.03711&json=true","fetch_graph":"https://pith.science/api/pith-number/7NGTAF352XBCVWJESD4ZAAQM7C/graph.json","fetch_events":"https://pith.science/api/pith-number/7NGTAF352XBCVWJESD4ZAAQM7C/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7NGTAF352XBCVWJESD4ZAAQM7C/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7NGTAF352XBCVWJESD4ZAAQM7C/action/storage_attestation","attest_author":"https://pith.science/pith/7NGTAF352XBCVWJESD4ZAAQM7C/action/author_attestation","sign_citation":"https://pith.science/pith/7NGTAF352XBCVWJESD4ZAAQM7C/action/citation_signature","submit_replication":"https://pith.science/pith/7NGTAF352XBCVWJESD4ZAAQM7C/action/replication_record"}},"created_at":"2026-05-18T00:21:10.551374+00:00","updated_at":"2026-05-18T00:21:10.551374+00:00"}