{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:75ZMYSP2PVHL7RQO3GVJ6UMKOG","short_pith_number":"pith:75ZMYSP2","schema_version":"1.0","canonical_sha256":"ff72cc49fa7d4ebfc60ed9aa9f518a71a012a3446d9b61036e441d28c2271a81","source":{"kind":"arxiv","id":"2506.00078","version":1},"attestation_state":"computed","paper":{"title":"The Role of Berry Phases in the QCD Vacuum Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. Gamboa","submitted_at":"2025-05-30T00:50:48Z","abstract_excerpt":"We revisit the origin of the vacuum angle $\\theta$ in QCD using the adiabatic approximation combined with Fujikawa's method. By implementing a local chiral transformation and selecting a constant parameter $\\alpha(x) = \\theta$, we show that the QCD $\\theta$-term emerges naturally in the effective action. This construction provides a non-perturbative interpretation of the axial anomaly and highlights the role of the adiabatic gauge condition in isolating the topological sector of the theory. As a consequence, the physical states acquire topological information encoded in the functional Berry ph"},"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":"2506.00078","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-30T00:50:48Z","cross_cats_sorted":[],"title_canon_sha256":"16d6094323151c4418d3e335692d19b6fed2bc27659d93601555c33f21681603","abstract_canon_sha256":"0131fd5f16ca7c679f19dac8faac7f619353d7f2f1cc73ef701c6763068c8484"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:13:28.616045Z","signature_b64":"lyWO92DIQN2DGX1nohjljBUS28U0HOa2OHnfyOsJi6HuU8DQe6SMwjymhY+P5c36QBhC/xRYqQj1ozUAuUhoBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ff72cc49fa7d4ebfc60ed9aa9f518a71a012a3446d9b61036e441d28c2271a81","last_reissued_at":"2026-07-05T11:13:28.615326Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:13:28.615326Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Role of Berry Phases in the QCD Vacuum Structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. Gamboa","submitted_at":"2025-05-30T00:50:48Z","abstract_excerpt":"We revisit the origin of the vacuum angle $\\theta$ in QCD using the adiabatic approximation combined with Fujikawa's method. By implementing a local chiral transformation and selecting a constant parameter $\\alpha(x) = \\theta$, we show that the QCD $\\theta$-term emerges naturally in the effective action. This construction provides a non-perturbative interpretation of the axial anomaly and highlights the role of the adiabatic gauge condition in isolating the topological sector of the theory. As a consequence, the physical states acquire topological information encoded in the functional Berry ph"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.00078","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.00078/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2506.00078","created_at":"2026-07-05T11:13:28.615428+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.00078v1","created_at":"2026-07-05T11:13:28.615428+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.00078","created_at":"2026-07-05T11:13:28.615428+00:00"},{"alias_kind":"pith_short_12","alias_value":"75ZMYSP2PVHL","created_at":"2026-07-05T11:13:28.615428+00:00"},{"alias_kind":"pith_short_16","alias_value":"75ZMYSP2PVHL7RQO","created_at":"2026-07-05T11:13:28.615428+00:00"},{"alias_kind":"pith_short_8","alias_value":"75ZMYSP2","created_at":"2026-07-05T11:13:28.615428+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/75ZMYSP2PVHL7RQO3GVJ6UMKOG","json":"https://pith.science/pith/75ZMYSP2PVHL7RQO3GVJ6UMKOG.json","graph_json":"https://pith.science/api/pith-number/75ZMYSP2PVHL7RQO3GVJ6UMKOG/graph.json","events_json":"https://pith.science/api/pith-number/75ZMYSP2PVHL7RQO3GVJ6UMKOG/events.json","paper":"https://pith.science/paper/75ZMYSP2"},"agent_actions":{"view_html":"https://pith.science/pith/75ZMYSP2PVHL7RQO3GVJ6UMKOG","download_json":"https://pith.science/pith/75ZMYSP2PVHL7RQO3GVJ6UMKOG.json","view_paper":"https://pith.science/paper/75ZMYSP2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.00078&json=true","fetch_graph":"https://pith.science/api/pith-number/75ZMYSP2PVHL7RQO3GVJ6UMKOG/graph.json","fetch_events":"https://pith.science/api/pith-number/75ZMYSP2PVHL7RQO3GVJ6UMKOG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/75ZMYSP2PVHL7RQO3GVJ6UMKOG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/75ZMYSP2PVHL7RQO3GVJ6UMKOG/action/storage_attestation","attest_author":"https://pith.science/pith/75ZMYSP2PVHL7RQO3GVJ6UMKOG/action/author_attestation","sign_citation":"https://pith.science/pith/75ZMYSP2PVHL7RQO3GVJ6UMKOG/action/citation_signature","submit_replication":"https://pith.science/pith/75ZMYSP2PVHL7RQO3GVJ6UMKOG/action/replication_record"}},"created_at":"2026-07-05T11:13:28.615428+00:00","updated_at":"2026-07-05T11:13:28.615428+00:00"}