{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:XUYJDACZH65UPTLLUO6F25ZOSC","short_pith_number":"pith:XUYJDACZ","canonical_record":{"source":{"id":"1211.1682","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-07T21:08:31Z","cross_cats_sorted":[],"title_canon_sha256":"d13de52f9bbd6c798008b78db74e7a1e53c5e948997e4054a7356474f792db13","abstract_canon_sha256":"bdf0f1bde3cd995b8e2e60c2dec1e15b372c31feeb979cae53e192dd5f1bfde8"},"schema_version":"1.0"},"canonical_sha256":"bd309180593fbb47cd6ba3bc5d772e90a9925a497ba2992b887546ea0566e62f","source":{"kind":"arxiv","id":"1211.1682","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1682","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1682v2","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1682","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"pith_short_12","alias_value":"XUYJDACZH65U","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XUYJDACZH65UPTLL","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XUYJDACZ","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:XUYJDACZH65UPTLLUO6F25ZOSC","target":"record","payload":{"canonical_record":{"source":{"id":"1211.1682","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-07T21:08:31Z","cross_cats_sorted":[],"title_canon_sha256":"d13de52f9bbd6c798008b78db74e7a1e53c5e948997e4054a7356474f792db13","abstract_canon_sha256":"bdf0f1bde3cd995b8e2e60c2dec1e15b372c31feeb979cae53e192dd5f1bfde8"},"schema_version":"1.0"},"canonical_sha256":"bd309180593fbb47cd6ba3bc5d772e90a9925a497ba2992b887546ea0566e62f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:25:14.442853Z","signature_b64":"MPvT1L3mjmJ+TbmfPR+OIMongdZejBANrixivttHNnBE2Eu34bzt9ZIclBoGXYgqLPU013dD+LYNx6rneD8QDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bd309180593fbb47cd6ba3bc5d772e90a9925a497ba2992b887546ea0566e62f","last_reissued_at":"2026-05-18T03:25:14.442173Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:25:14.442173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.1682","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rO5/LVkAAy4ORzTikYsq946E+b/vXHLOQMcUaImj+4qQrI7US+972bEWg0uVsuMaYOvOwbjHvgnE0HIKcrV2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T07:09:08.995604Z"},"content_sha256":"076dc54e2baa774d1545160a537a54877ca4cb924100a0442e67ff7276979d70","schema_version":"1.0","event_id":"sha256:076dc54e2baa774d1545160a537a54877ca4cb924100a0442e67ff7276979d70"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:XUYJDACZH65UPTLLUO6F25ZOSC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Solution of the Anderson impurity model via the functional renormalization group","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Aldo Isidori, Peter Kopietz, Simon Streib","submitted_at":"2012-11-07T21:08:31Z","abstract_excerpt":"We show that the functional renormalization group is a numerically cheap method to obtain the low-energy behavior of the Anderson impurity model describing a localized interacting electron coupled to a bath of conduction electrons. Our approach uses an external magnetic field as flow parameter, partial bosonization of the transverse spin fluctuations, and frequency-independent interaction vertices which are fixed by Ward identities. We calculate the quasi-particle residue and the spin susceptibility in the particle-hole symmetric case and obtain excellent agreement with the Bethe ansatz result"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1682","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:25:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kDlDaRe7V8YMnSKHHVqplf3z1xm4jdRmUcQiR8U1zzuCExhbeq8HPm2kQhNLb/rM3SNySsemY6M3Ur+kTcsgCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T07:09:08.996159Z"},"content_sha256":"917487aa9e30799933dc23b8f293493cf2ecc530635f89f368b19453e6cd3696","schema_version":"1.0","event_id":"sha256:917487aa9e30799933dc23b8f293493cf2ecc530635f89f368b19453e6cd3696"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XUYJDACZH65UPTLLUO6F25ZOSC/bundle.json","state_url":"https://pith.science/pith/XUYJDACZH65UPTLLUO6F25ZOSC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XUYJDACZH65UPTLLUO6F25ZOSC/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-22T07:09:08Z","links":{"resolver":"https://pith.science/pith/XUYJDACZH65UPTLLUO6F25ZOSC","bundle":"https://pith.science/pith/XUYJDACZH65UPTLLUO6F25ZOSC/bundle.json","state":"https://pith.science/pith/XUYJDACZH65UPTLLUO6F25ZOSC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XUYJDACZH65UPTLLUO6F25ZOSC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XUYJDACZH65UPTLLUO6F25ZOSC","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":"bdf0f1bde3cd995b8e2e60c2dec1e15b372c31feeb979cae53e192dd5f1bfde8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-07T21:08:31Z","title_canon_sha256":"d13de52f9bbd6c798008b78db74e7a1e53c5e948997e4054a7356474f792db13"},"schema_version":"1.0","source":{"id":"1211.1682","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.1682","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"arxiv_version","alias_value":"1211.1682v2","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.1682","created_at":"2026-05-18T03:25:14Z"},{"alias_kind":"pith_short_12","alias_value":"XUYJDACZH65U","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XUYJDACZH65UPTLL","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XUYJDACZ","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:917487aa9e30799933dc23b8f293493cf2ecc530635f89f368b19453e6cd3696","target":"graph","created_at":"2026-05-18T03:25:14Z","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 show that the functional renormalization group is a numerically cheap method to obtain the low-energy behavior of the Anderson impurity model describing a localized interacting electron coupled to a bath of conduction electrons. Our approach uses an external magnetic field as flow parameter, partial bosonization of the transverse spin fluctuations, and frequency-independent interaction vertices which are fixed by Ward identities. We calculate the quasi-particle residue and the spin susceptibility in the particle-hole symmetric case and obtain excellent agreement with the Bethe ansatz result","authors_text":"Aldo Isidori, Peter Kopietz, Simon Streib","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-07T21:08:31Z","title":"Solution of the Anderson impurity model via the functional renormalization group"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.1682","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":"sha256:076dc54e2baa774d1545160a537a54877ca4cb924100a0442e67ff7276979d70","target":"record","created_at":"2026-05-18T03:25:14Z","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":"bdf0f1bde3cd995b8e2e60c2dec1e15b372c31feeb979cae53e192dd5f1bfde8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2012-11-07T21:08:31Z","title_canon_sha256":"d13de52f9bbd6c798008b78db74e7a1e53c5e948997e4054a7356474f792db13"},"schema_version":"1.0","source":{"id":"1211.1682","kind":"arxiv","version":2}},"canonical_sha256":"bd309180593fbb47cd6ba3bc5d772e90a9925a497ba2992b887546ea0566e62f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bd309180593fbb47cd6ba3bc5d772e90a9925a497ba2992b887546ea0566e62f","first_computed_at":"2026-05-18T03:25:14.442173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:25:14.442173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MPvT1L3mjmJ+TbmfPR+OIMongdZejBANrixivttHNnBE2Eu34bzt9ZIclBoGXYgqLPU013dD+LYNx6rneD8QDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:25:14.442853Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.1682","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:076dc54e2baa774d1545160a537a54877ca4cb924100a0442e67ff7276979d70","sha256:917487aa9e30799933dc23b8f293493cf2ecc530635f89f368b19453e6cd3696"],"state_sha256":"d1d6d69032f00e53dc261d0d57561a6774e7411a627d3cf7de576b6c1643a051"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gcHR9IU5Vd61r51uTGD0P9RXuxDjRHr2BpojBehDCJLHZ5OZWU18bTKYuiO4wojvmH8a2J8Up6Nv5VWyxLLgCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T07:09:08.999738Z","bundle_sha256":"473c1d6bddfd512f1d6c010e9a7c55e2aec14f2a6bac248871a7cfc5b78320db"}}