{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:J7RC3FAMZJTPAPK7JDQYF7SJIB","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"1aaa75a9269bc8d9e6ee99cf74d88740fdbdc62d9ca295eacd3e6959d57b944a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-06-14T18:00:03Z","title_canon_sha256":"fef27089dfaa452760742cd009cbd98161636baa2cf7fc59889594d4d8fe76df"},"schema_version":"1.0","source":{"id":"1206.3201","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.3201","created_at":"2026-05-18T03:46:58Z"},{"alias_kind":"arxiv_version","alias_value":"1206.3201v3","created_at":"2026-05-18T03:46:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.3201","created_at":"2026-05-18T03:46:58Z"},{"alias_kind":"pith_short_12","alias_value":"J7RC3FAMZJTP","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"J7RC3FAMZJTPAPK7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"J7RC3FAM","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:65d28fe5e69f382f1afd1eb65f88e0749ae2824361b3e0a6607d1fef3f64ace5","target":"graph","created_at":"2026-05-18T03:46:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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_{\\","authors_text":"L. Merker, T. A. Costi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-06-14T18:00:03Z","title":"Numerical renormalization group calculation of impurity internal energy and specific heat of quantum impurity models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.3201","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:bfe215d30ea9b3be39f8390f15bb49d4a4515e4ed275d049bccd720b395ce433","target":"record","created_at":"2026-05-18T03:46:58Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"1aaa75a9269bc8d9e6ee99cf74d88740fdbdc62d9ca295eacd3e6959d57b944a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-06-14T18:00:03Z","title_canon_sha256":"fef27089dfaa452760742cd009cbd98161636baa2cf7fc59889594d4d8fe76df"},"schema_version":"1.0","source":{"id":"1206.3201","kind":"arxiv","version":3}},"canonical_sha256":"4fe22d940cca66f03d5f48e182fe494065971c09af0164d743be984915043101","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4fe22d940cca66f03d5f48e182fe494065971c09af0164d743be984915043101","first_computed_at":"2026-05-18T03:46:58.763513Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:58.763513Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WxFh7ky22n6Q92G1n+IWmcIqNngKs/SyiAc4TEAwgeh9WM/SI3Q67fxKdi0DB41vzWg/v+1paEbpbdKLH1U0DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:58.764108Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.3201","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfe215d30ea9b3be39f8390f15bb49d4a4515e4ed275d049bccd720b395ce433","sha256:65d28fe5e69f382f1afd1eb65f88e0749ae2824361b3e0a6607d1fef3f64ace5"],"state_sha256":"796521ebc9ef6c7780f3f3e0f89e364f8ce8e75ae4d6212ef57a4833a2757ca0"}