{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AW6S7IXFFM5ARASJLPGA4SFZG7","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":"6826459c88a57824bb2baf7c0a21ad39858ab3593406ed173b8b4f83b353bddf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-08-03T14:39:54Z","title_canon_sha256":"69a7a5704205dfeba467e6a840d1599b4c0c97c8b1de93089ddfc89005825242"},"schema_version":"1.0","source":{"id":"1208.0761","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.0761","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"arxiv_version","alias_value":"1208.0761v4","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.0761","created_at":"2026-05-18T03:24:52Z"},{"alias_kind":"pith_short_12","alias_value":"AW6S7IXFFM5A","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AW6S7IXFFM5ARASJ","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AW6S7IXF","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:4582c5aed5e75c86d2dcb3f3d640775b2b6d2c2c104abd1ffeba04f1a18e1151","target":"graph","created_at":"2026-05-18T03:24:52Z","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":"In this paper, we discuss the vacuum structure of QCD with two flavors of Wilson fermions, inside the Aoki phase. We provide numerical evidence, coming from HMC simulations in $4^4$, $6^4$ and $8^4$ lattices, supporting a vacuum structure for this model at strong coupling more complex than the one assumed in the standard wisdom, with new vacua where the expectation value of $i\\bar\\psi\\gamma_5\\psi$ can take non-zero values, and which can not be connected with the Aoki vacua by parity-flavour symmetry transformations.","authors_text":"Alejandro Vaquero, Eduardo Follana, Giuseppe Di Carlo, Vicente Azcoiti","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-08-03T14:39:54Z","title":"Elucidating the Vacuum Structure of the Aoki Phase"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.0761","kind":"arxiv","version":4},"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":"sha256:69b5cdeca5d89f9bb9f713df2703eaace16e58e176f2d8ee547f44a13e6c84d9","target":"record","created_at":"2026-05-18T03:24:52Z","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":"6826459c88a57824bb2baf7c0a21ad39858ab3593406ed173b8b4f83b353bddf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2012-08-03T14:39:54Z","title_canon_sha256":"69a7a5704205dfeba467e6a840d1599b4c0c97c8b1de93089ddfc89005825242"},"schema_version":"1.0","source":{"id":"1208.0761","kind":"arxiv","version":4}},"canonical_sha256":"05bd2fa2e52b3a0882495bcc0e48b937eaf0cbee6d6e7883f9acf1af9bcc0209","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"05bd2fa2e52b3a0882495bcc0e48b937eaf0cbee6d6e7883f9acf1af9bcc0209","first_computed_at":"2026-05-18T03:24:52.625257Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:24:52.625257Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y8dIJw2dHt3q266g8RBC/g+nFNk27/uRfOPLPqO8MLVJoXzghNOMiIWJTHGMZdc9vo65jctXdmWkTsKe/0iDAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:24:52.625982Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.0761","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:69b5cdeca5d89f9bb9f713df2703eaace16e58e176f2d8ee547f44a13e6c84d9","sha256:4582c5aed5e75c86d2dcb3f3d640775b2b6d2c2c104abd1ffeba04f1a18e1151"],"state_sha256":"890aa3d40f0ebdcf2ed51c3ea11413c569e223a97745bc961eeb5e1b9d10642d"}