{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7GVPTYQJPRERB6MD5N6JD4KIK5","short_pith_number":"pith:7GVPTYQJ","schema_version":"1.0","canonical_sha256":"f9aaf9e2097c4910f983eb7c91f14857466f5b36d09af2ae44ff893bc8097408","source":{"kind":"arxiv","id":"1406.3178","version":3},"attestation_state":"computed","paper":{"title":"Fermionic two-loop functional renormalization group for correlated fermions: Method and application to the attractive Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andreas Eberlein","submitted_at":"2014-06-12T10:03:30Z","abstract_excerpt":"We derive an efficient method for treating renormalization contributions at two-loop level within the functional renormalization group in the one-particle irreducible formalism for fermions. It is based on a decomposition of the two-particle vertex in charge, magnetic and pairing channels. The method treats single-particle and collective excitations in all channels on equal footing, allows for the description of symmetry-breaking and captures collective mode fluctuation physics in the infrared. As a first application, we study the superfluid ground state of the two-dimensional attractive Hubba"},"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":"1406.3178","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2014-06-12T10:03:30Z","cross_cats_sorted":[],"title_canon_sha256":"70fa1eb57bf451f1688fe983f99ab1ea98163c1535fc3036b7954581b31ab753","abstract_canon_sha256":"8fa49a2cdb0d10c37afd1b28a82feb186b242adb1c7e1bb442f8406cf7bee2c5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:42:47.548735Z","signature_b64":"TqBJyihzerrGHQ21GkYdGE+wigsx0AASE3fgRu3I8GopZMZZQ7kscJ2Cd9mwK6hJZIl4Y6CfXvEIEMvQKes2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f9aaf9e2097c4910f983eb7c91f14857466f5b36d09af2ae44ff893bc8097408","last_reissued_at":"2026-05-18T02:42:47.548248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:42:47.548248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fermionic two-loop functional renormalization group for correlated fermions: Method and application to the attractive Hubbard model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Andreas Eberlein","submitted_at":"2014-06-12T10:03:30Z","abstract_excerpt":"We derive an efficient method for treating renormalization contributions at two-loop level within the functional renormalization group in the one-particle irreducible formalism for fermions. It is based on a decomposition of the two-particle vertex in charge, magnetic and pairing channels. The method treats single-particle and collective excitations in all channels on equal footing, allows for the description of symmetry-breaking and captures collective mode fluctuation physics in the infrared. As a first application, we study the superfluid ground state of the two-dimensional attractive Hubba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3178","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":"1406.3178","created_at":"2026-05-18T02:42:47.548311+00:00"},{"alias_kind":"arxiv_version","alias_value":"1406.3178v3","created_at":"2026-05-18T02:42:47.548311+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3178","created_at":"2026-05-18T02:42:47.548311+00:00"},{"alias_kind":"pith_short_12","alias_value":"7GVPTYQJPRER","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"7GVPTYQJPRERB6MD","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"7GVPTYQJ","created_at":"2026-05-18T12:28:16.859392+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/7GVPTYQJPRERB6MD5N6JD4KIK5","json":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5.json","graph_json":"https://pith.science/api/pith-number/7GVPTYQJPRERB6MD5N6JD4KIK5/graph.json","events_json":"https://pith.science/api/pith-number/7GVPTYQJPRERB6MD5N6JD4KIK5/events.json","paper":"https://pith.science/paper/7GVPTYQJ"},"agent_actions":{"view_html":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5","download_json":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5.json","view_paper":"https://pith.science/paper/7GVPTYQJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1406.3178&json=true","fetch_graph":"https://pith.science/api/pith-number/7GVPTYQJPRERB6MD5N6JD4KIK5/graph.json","fetch_events":"https://pith.science/api/pith-number/7GVPTYQJPRERB6MD5N6JD4KIK5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/action/storage_attestation","attest_author":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/action/author_attestation","sign_citation":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/action/citation_signature","submit_replication":"https://pith.science/pith/7GVPTYQJPRERB6MD5N6JD4KIK5/action/replication_record"}},"created_at":"2026-05-18T02:42:47.548311+00:00","updated_at":"2026-05-18T02:42:47.548311+00:00"}