{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:3L5PSS5CHNO3U26AFVBCU4R4US","short_pith_number":"pith:3L5PSS5C","schema_version":"1.0","canonical_sha256":"dafaf94ba23b5dba6bc02d422a723ca4a2ce5516283a6b8a12634c105010137d","source":{"kind":"arxiv","id":"1012.2781","version":2},"attestation_state":"computed","paper":{"title":"The Aoki phase revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. Vaquero, E. Follana, G. Di Carlo, V. Azcoiti","submitted_at":"2010-12-13T15:59:57Z","abstract_excerpt":"In order to elucidate the vacuum structure of the Aoki phase, we carried out a numerical investigation of QCD with two flavours of Wilson fermions, within the p.d.f. framework and in the absence of external sources. The simulations performed at V = 44 suggest a rich vacuum structure, where the observable $i\\bar\\psi\\gamma_5\\psi$ is allowed to take non-zero values of the same order of magnitude than the order parameter of the Aoki phase $i\\bar\\psi\\gamma_5\\tau_3\\psi$. However, the simulation at higher volumes V = 6^4 suffers from large statistical errors."},"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":"1012.2781","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2010-12-13T15:59:57Z","cross_cats_sorted":[],"title_canon_sha256":"20563918ef32bed372f4f6b58b502e5adc4114b8a8f919fe51c235a5852a7c4e","abstract_canon_sha256":"1df70feedb35c237af478e2fd38b6c606e3bea634724f61d14238342d42b879d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:26.494712Z","signature_b64":"oSNT2teYsyW1EaoKvCBRQj7iU40q/gAz9xM7TRBbpZa4PR8/CvqbEQAl9vGAYZi1uoEJGOFxb6qMux0X4IrhCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dafaf94ba23b5dba6bc02d422a723ca4a2ce5516283a6b8a12634c105010137d","last_reissued_at":"2026-05-18T04:33:26.493552Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:26.493552Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Aoki phase revisited","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"A. Vaquero, E. Follana, G. Di Carlo, V. Azcoiti","submitted_at":"2010-12-13T15:59:57Z","abstract_excerpt":"In order to elucidate the vacuum structure of the Aoki phase, we carried out a numerical investigation of QCD with two flavours of Wilson fermions, within the p.d.f. framework and in the absence of external sources. The simulations performed at V = 44 suggest a rich vacuum structure, where the observable $i\\bar\\psi\\gamma_5\\psi$ is allowed to take non-zero values of the same order of magnitude than the order parameter of the Aoki phase $i\\bar\\psi\\gamma_5\\tau_3\\psi$. However, the simulation at higher volumes V = 6^4 suffers from large statistical errors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.2781","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":"1012.2781","created_at":"2026-05-18T04:33:26.493639+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.2781v2","created_at":"2026-05-18T04:33:26.493639+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.2781","created_at":"2026-05-18T04:33:26.493639+00:00"},{"alias_kind":"pith_short_12","alias_value":"3L5PSS5CHNO3","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_16","alias_value":"3L5PSS5CHNO3U26A","created_at":"2026-05-18T12:26:03.138858+00:00"},{"alias_kind":"pith_short_8","alias_value":"3L5PSS5C","created_at":"2026-05-18T12:26:03.138858+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/3L5PSS5CHNO3U26AFVBCU4R4US","json":"https://pith.science/pith/3L5PSS5CHNO3U26AFVBCU4R4US.json","graph_json":"https://pith.science/api/pith-number/3L5PSS5CHNO3U26AFVBCU4R4US/graph.json","events_json":"https://pith.science/api/pith-number/3L5PSS5CHNO3U26AFVBCU4R4US/events.json","paper":"https://pith.science/paper/3L5PSS5C"},"agent_actions":{"view_html":"https://pith.science/pith/3L5PSS5CHNO3U26AFVBCU4R4US","download_json":"https://pith.science/pith/3L5PSS5CHNO3U26AFVBCU4R4US.json","view_paper":"https://pith.science/paper/3L5PSS5C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.2781&json=true","fetch_graph":"https://pith.science/api/pith-number/3L5PSS5CHNO3U26AFVBCU4R4US/graph.json","fetch_events":"https://pith.science/api/pith-number/3L5PSS5CHNO3U26AFVBCU4R4US/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3L5PSS5CHNO3U26AFVBCU4R4US/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3L5PSS5CHNO3U26AFVBCU4R4US/action/storage_attestation","attest_author":"https://pith.science/pith/3L5PSS5CHNO3U26AFVBCU4R4US/action/author_attestation","sign_citation":"https://pith.science/pith/3L5PSS5CHNO3U26AFVBCU4R4US/action/citation_signature","submit_replication":"https://pith.science/pith/3L5PSS5CHNO3U26AFVBCU4R4US/action/replication_record"}},"created_at":"2026-05-18T04:33:26.493639+00:00","updated_at":"2026-05-18T04:33:26.493639+00:00"}