{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:J7RC3FAMZJTPAPK7JDQYF7SJIB","short_pith_number":"pith:J7RC3FAM","schema_version":"1.0","canonical_sha256":"4fe22d940cca66f03d5f48e182fe494065971c09af0164d743be984915043101","source":{"kind":"arxiv","id":"1206.3201","version":3},"attestation_state":"computed","paper":{"title":"Numerical renormalization group calculation of impurity internal energy and specific heat of quantum impurity models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"L. Merker, T. A. Costi","submitted_at":"2012-06-14T18:00:03Z","abstract_excerpt":"We introduce a method to obtain the specific heat of quantum impurity models via a direct calculation of the impurity internal energy requiring only the evaluation of local quantities within a single numerical renormalization group (NRG) calculation for the total system. For the Anderson impurity model, we show that the impurity internal energy can be expressed as a sum of purely local static correlation functions and a term that involves also the impurity Green function. The temperature dependence of the latter can be neglected in many cases, thereby allowing the impurity specific heat, $C_{\\"},"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":"1206.3201","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-06-14T18:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"fef27089dfaa452760742cd009cbd98161636baa2cf7fc59889594d4d8fe76df","abstract_canon_sha256":"1aaa75a9269bc8d9e6ee99cf74d88740fdbdc62d9ca295eacd3e6959d57b944a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:46:58.764108Z","signature_b64":"WxFh7ky22n6Q92G1n+IWmcIqNngKs/SyiAc4TEAwgeh9WM/SI3Q67fxKdi0DB41vzWg/v+1paEbpbdKLH1U0DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4fe22d940cca66f03d5f48e182fe494065971c09af0164d743be984915043101","last_reissued_at":"2026-05-18T03:46:58.763513Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:46:58.763513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Numerical renormalization group calculation of impurity internal energy and specific heat of quantum impurity models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"L. Merker, T. A. Costi","submitted_at":"2012-06-14T18:00:03Z","abstract_excerpt":"We introduce a method to obtain the specific heat of quantum impurity models via a direct calculation of the impurity internal energy requiring only the evaluation of local quantities within a single numerical renormalization group (NRG) calculation for the total system. For the Anderson impurity model, we show that the impurity internal energy can be expressed as a sum of purely local static correlation functions and a term that involves also the impurity Green function. The temperature dependence of the latter can be neglected in many cases, thereby allowing the impurity specific heat, $C_{\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3201","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":"1206.3201","created_at":"2026-05-18T03:46:58.763600+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.3201v3","created_at":"2026-05-18T03:46:58.763600+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3201","created_at":"2026-05-18T03:46:58.763600+00:00"},{"alias_kind":"pith_short_12","alias_value":"J7RC3FAMZJTP","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_16","alias_value":"J7RC3FAMZJTPAPK7","created_at":"2026-05-18T12:27:11.947152+00:00"},{"alias_kind":"pith_short_8","alias_value":"J7RC3FAM","created_at":"2026-05-18T12:27:11.947152+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/J7RC3FAMZJTPAPK7JDQYF7SJIB","json":"https://pith.science/pith/J7RC3FAMZJTPAPK7JDQYF7SJIB.json","graph_json":"https://pith.science/api/pith-number/J7RC3FAMZJTPAPK7JDQYF7SJIB/graph.json","events_json":"https://pith.science/api/pith-number/J7RC3FAMZJTPAPK7JDQYF7SJIB/events.json","paper":"https://pith.science/paper/J7RC3FAM"},"agent_actions":{"view_html":"https://pith.science/pith/J7RC3FAMZJTPAPK7JDQYF7SJIB","download_json":"https://pith.science/pith/J7RC3FAMZJTPAPK7JDQYF7SJIB.json","view_paper":"https://pith.science/paper/J7RC3FAM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.3201&json=true","fetch_graph":"https://pith.science/api/pith-number/J7RC3FAMZJTPAPK7JDQYF7SJIB/graph.json","fetch_events":"https://pith.science/api/pith-number/J7RC3FAMZJTPAPK7JDQYF7SJIB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J7RC3FAMZJTPAPK7JDQYF7SJIB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J7RC3FAMZJTPAPK7JDQYF7SJIB/action/storage_attestation","attest_author":"https://pith.science/pith/J7RC3FAMZJTPAPK7JDQYF7SJIB/action/author_attestation","sign_citation":"https://pith.science/pith/J7RC3FAMZJTPAPK7JDQYF7SJIB/action/citation_signature","submit_replication":"https://pith.science/pith/J7RC3FAMZJTPAPK7JDQYF7SJIB/action/replication_record"}},"created_at":"2026-05-18T03:46:58.763600+00:00","updated_at":"2026-05-18T03:46:58.763600+00:00"}