{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JTNH62ONAPX5RGRJLXMQF4RORG","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":"999437498c061747ff8a11617c56f96b8ffacaae551994e1f13249919a3a4e12","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-03-09T13:26:49Z","title_canon_sha256":"d15424feaff800a4f3e284a0581caf30fab312afdcd224ecebc0f3b6d84dabb9"},"schema_version":"1.0","source":{"id":"1003.1867","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1003.1867","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"arxiv_version","alias_value":"1003.1867v2","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1003.1867","created_at":"2026-05-18T04:41:43Z"},{"alias_kind":"pith_short_12","alias_value":"JTNH62ONAPX5","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JTNH62ONAPX5RGRJ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JTNH62ON","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:bb6840a6d1a8ed50f2a923448ff2ccbeb93c73bd2086bb5d9b9a3e4d76486cff","target":"graph","created_at":"2026-05-18T04:41:43Z","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":"Using functional methods and the exact renormalization group we derive Ward identities for the Anderson impurity model. In particular, we present a non-perturbative proof of the Yamada-Yosida identities relating certain coefficients in the low-energy expansion of the self-energy to thermodynamic particle number and spin susceptibilities of the impurity. Our proof underlines the relation of the Yamada-Yosida identities to the U(1) x U(1) symmetry associated with particle number and spin conservation in a magnetic field.","authors_text":"Aldo Isidori, Alvaro Ferraz, Lorenz Bartosch, Lucio Costa, Peter Kopietz","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-03-09T13:26:49Z","title":"Ward identities for the Anderson impurity model: derivation via functional methods and the exact renormalization group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1003.1867","kind":"arxiv","version":2},"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:df8d9dfcdf2a8f690d72d8cef137030eeb6201306abf2267ce09d82a503107c8","target":"record","created_at":"2026-05-18T04:41:43Z","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":"999437498c061747ff8a11617c56f96b8ffacaae551994e1f13249919a3a4e12","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2010-03-09T13:26:49Z","title_canon_sha256":"d15424feaff800a4f3e284a0581caf30fab312afdcd224ecebc0f3b6d84dabb9"},"schema_version":"1.0","source":{"id":"1003.1867","kind":"arxiv","version":2}},"canonical_sha256":"4cda7f69cd03efd89a295dd902f22e89ba072056d6c73b889f3d0fdbd5bc76f4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4cda7f69cd03efd89a295dd902f22e89ba072056d6c73b889f3d0fdbd5bc76f4","first_computed_at":"2026-05-18T04:41:43.925482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:41:43.925482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qhxWZvtW3nFcllWDIUfU6nokpgeAbmTb9Sj5O3fTZmgon7RiQZ1M6ihJ6Ly99pR7Y0ysaNtPaClKf2JaHYsLBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:41:43.925931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1003.1867","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df8d9dfcdf2a8f690d72d8cef137030eeb6201306abf2267ce09d82a503107c8","sha256:bb6840a6d1a8ed50f2a923448ff2ccbeb93c73bd2086bb5d9b9a3e4d76486cff"],"state_sha256":"5d328ca1233e319c76c997622d747745502a368cc089d974295463057650929a"}