{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DRFIZXPC4XNC5N7V32U2CIF7AB","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":"5a897fb6e80fc8bf604775af2a758dfb29a7118572cc1948fe17082390bb17bd","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-01T16:02:50Z","title_canon_sha256":"f2047e97f7d04d80d5b607b36996dccb4283454f8b946d0b5976c3081234d01c"},"schema_version":"1.0","source":{"id":"1204.0228","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.0228","created_at":"2026-05-18T03:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"1204.0228v2","created_at":"2026-05-18T03:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0228","created_at":"2026-05-18T03:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"DRFIZXPC4XNC","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_16","alias_value":"DRFIZXPC4XNC5N7V","created_at":"2026-05-18T12:27:04Z"},{"alias_kind":"pith_short_8","alias_value":"DRFIZXPC","created_at":"2026-05-18T12:27:04Z"}],"graph_snapshots":[{"event_id":"sha256:24e370e0b305e0c56dca47966e460d727d069a73fceba259e3b2496e914617be","target":"graph","created_at":"2026-05-18T03:41:58Z","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":"We investigate the interplay between the Z_{Nc} symmetry and the emergence of the quarkyonic phase, adding the flavor-dependent complex chemical potentials \\mu_f=\\mu+iT\\theta_f with (\\theta_f)=(0, \\theta, -\\theta) to the Polyakov-loop extended Nambu-Jona-Lasinio (PNJL) model. When \\theta=0, the PNJL model with the \\mu_f agrees with the standard PNJL model with the real chemical potential \\mu. When \\theta=2\\pi/3, meanwhile, the PNJL model with the \\mu_f has the Z_{Nc} symmetry exactly for any real \\mu, so that the quarkyonic phase exists at small T and large \\mu. Once \\theta varies from 2\\pi/3,","authors_text":"Hiroaki Kouno, Masanobu Yahiro, Takahiro Sasaki, Yuji Sakai","cross_cats":["hep-lat","hep-th","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-01T16:02:50Z","title":"The quarkynic phase and the Z_{Nc} symmetry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0228","kind":"arxiv","version":2},"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:aa0f10e669b3abccf1589b92bfe8d177671d0148941aa3a281352e2a1b7e77d8","target":"record","created_at":"2026-05-18T03:41:58Z","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":"5a897fb6e80fc8bf604775af2a758dfb29a7118572cc1948fe17082390bb17bd","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-01T16:02:50Z","title_canon_sha256":"f2047e97f7d04d80d5b607b36996dccb4283454f8b946d0b5976c3081234d01c"},"schema_version":"1.0","source":{"id":"1204.0228","kind":"arxiv","version":2}},"canonical_sha256":"1c4a8cdde2e5da2eb7f5dea9a120bf006f4d511e2130a70f66d2bbf8d541a898","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c4a8cdde2e5da2eb7f5dea9a120bf006f4d511e2130a70f66d2bbf8d541a898","first_computed_at":"2026-05-18T03:41:58.728701Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:41:58.728701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"RuXmnAnlTN2ojxVYWRhFEMFOCHwLYaGQiDzGfDTmIC6T0YdkCawqk4R7pQFj5kgb8dbvSrwG3rg4cvKTqTv3Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:41:58.729439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.0228","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa0f10e669b3abccf1589b92bfe8d177671d0148941aa3a281352e2a1b7e77d8","sha256:24e370e0b305e0c56dca47966e460d727d069a73fceba259e3b2496e914617be"],"state_sha256":"a643f7fdb5f88e5cbfc16b182ba8e13c959c810e5be67a3691008423a6aad582"}