{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:ZVVWL2OAA5FPPUSUH7Z47GO353","short_pith_number":"pith:ZVVWL2OA","schema_version":"1.0","canonical_sha256":"cd6b65e9c0074af7d2543ff3cf99dbeec39404b3088327f948f31345d6b69bd1","source":{"kind":"arxiv","id":"1308.3176","version":2},"attestation_state":"computed","paper":{"title":"Fluctuations and the axial anomaly with three quark flavors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Bernd-Jochen Schaefer, Mario Mitter","submitted_at":"2013-08-14T17:02:47Z","abstract_excerpt":"The role of the axial anomaly in the chiral phase transition at finite temperature and quark chemical potential is investigated within a non-perturbative functional renormalization group approach. The flow equation for the grand potential is solved to leading-order in a derivative expansion of a three flavor quark-meson model truncation. The results are compared with a standard and an extended mean-field analysis, which facilitates the exploration of the influence of bosonic and fermionic fluctuations, respectively, on the phase transition. The influence of U(1)_A-symmetry breaking on the chir"},"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":"1308.3176","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2013-08-14T17:02:47Z","cross_cats_sorted":["hep-th","nucl-th"],"title_canon_sha256":"0c3505287a309f11823ba64f1b88896d7e883a2c2294d62269bd2de9931fae32","abstract_canon_sha256":"6911e1aef61e9f42135be5d227e790ea50ebd6ae7fdcd4702386f39f123d23dc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:53:26.970089Z","signature_b64":"Fj8e9nZe/7BcGHLBmTbfF/iTJEYj3mGiPC34QcmebBE0/49FIeyBPdvg/iE5qDUNbanqZTMyzFh+ijwsoUM4Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd6b65e9c0074af7d2543ff3cf99dbeec39404b3088327f948f31345d6b69bd1","last_reissued_at":"2026-05-18T02:53:26.969508Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:53:26.969508Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Fluctuations and the axial anomaly with three quark flavors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Bernd-Jochen Schaefer, Mario Mitter","submitted_at":"2013-08-14T17:02:47Z","abstract_excerpt":"The role of the axial anomaly in the chiral phase transition at finite temperature and quark chemical potential is investigated within a non-perturbative functional renormalization group approach. The flow equation for the grand potential is solved to leading-order in a derivative expansion of a three flavor quark-meson model truncation. The results are compared with a standard and an extended mean-field analysis, which facilitates the exploration of the influence of bosonic and fermionic fluctuations, respectively, on the phase transition. The influence of U(1)_A-symmetry breaking on the chir"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.3176","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1308.3176","created_at":"2026-05-18T02:53:26.969597+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.3176v2","created_at":"2026-05-18T02:53:26.969597+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.3176","created_at":"2026-05-18T02:53:26.969597+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZVVWL2OAA5FP","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZVVWL2OAA5FPPUSU","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZVVWL2OA","created_at":"2026-05-18T12:28:09.283467+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2412.16053","citing_title":"Functional Renormalization Group meets Computational Fluid Dynamics: RG flows in a multi-dimensional field space","ref_index":28,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZVVWL2OAA5FPPUSUH7Z47GO353","json":"https://pith.science/pith/ZVVWL2OAA5FPPUSUH7Z47GO353.json","graph_json":"https://pith.science/api/pith-number/ZVVWL2OAA5FPPUSUH7Z47GO353/graph.json","events_json":"https://pith.science/api/pith-number/ZVVWL2OAA5FPPUSUH7Z47GO353/events.json","paper":"https://pith.science/paper/ZVVWL2OA"},"agent_actions":{"view_html":"https://pith.science/pith/ZVVWL2OAA5FPPUSUH7Z47GO353","download_json":"https://pith.science/pith/ZVVWL2OAA5FPPUSUH7Z47GO353.json","view_paper":"https://pith.science/paper/ZVVWL2OA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.3176&json=true","fetch_graph":"https://pith.science/api/pith-number/ZVVWL2OAA5FPPUSUH7Z47GO353/graph.json","fetch_events":"https://pith.science/api/pith-number/ZVVWL2OAA5FPPUSUH7Z47GO353/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZVVWL2OAA5FPPUSUH7Z47GO353/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZVVWL2OAA5FPPUSUH7Z47GO353/action/storage_attestation","attest_author":"https://pith.science/pith/ZVVWL2OAA5FPPUSUH7Z47GO353/action/author_attestation","sign_citation":"https://pith.science/pith/ZVVWL2OAA5FPPUSUH7Z47GO353/action/citation_signature","submit_replication":"https://pith.science/pith/ZVVWL2OAA5FPPUSUH7Z47GO353/action/replication_record"}},"created_at":"2026-05-18T02:53:26.969597+00:00","updated_at":"2026-05-18T02:53:26.969597+00:00"}