{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DRFIZXPC4XNC5N7V32U2CIF7AB","short_pith_number":"pith:DRFIZXPC","schema_version":"1.0","canonical_sha256":"1c4a8cdde2e5da2eb7f5dea9a120bf006f4d511e2130a70f66d2bbf8d541a898","source":{"kind":"arxiv","id":"1204.0228","version":2},"attestation_state":"computed","paper":{"title":"The quarkynic phase and the Z_{Nc} symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Hiroaki Kouno, Masanobu Yahiro, Takahiro Sasaki, Yuji Sakai","submitted_at":"2012-04-01T16:02:50Z","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,"},"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":"1204.0228","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-04-01T16:02:50Z","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"title_canon_sha256":"f2047e97f7d04d80d5b607b36996dccb4283454f8b946d0b5976c3081234d01c","abstract_canon_sha256":"5a897fb6e80fc8bf604775af2a758dfb29a7118572cc1948fe17082390bb17bd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:58.729439Z","signature_b64":"RuXmnAnlTN2ojxVYWRhFEMFOCHwLYaGQiDzGfDTmIC6T0YdkCawqk4R7pQFj5kgb8dbvSrwG3rg4cvKTqTv3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c4a8cdde2e5da2eb7f5dea9a120bf006f4d511e2130a70f66d2bbf8d541a898","last_reissued_at":"2026-05-18T03:41:58.728701Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:58.728701Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The quarkynic phase and the Z_{Nc} symmetry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Hiroaki Kouno, Masanobu Yahiro, Takahiro Sasaki, Yuji Sakai","submitted_at":"2012-04-01T16:02:50Z","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,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.0228","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":"1204.0228","created_at":"2026-05-18T03:41:58.728819+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.0228v2","created_at":"2026-05-18T03:41:58.728819+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.0228","created_at":"2026-05-18T03:41:58.728819+00:00"},{"alias_kind":"pith_short_12","alias_value":"DRFIZXPC4XNC","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DRFIZXPC4XNC5N7V","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DRFIZXPC","created_at":"2026-05-18T12:27:04.183437+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.17848","citing_title":"Adiabatic continuity in a partially reduced twisted Eguchi-Kawai model with one adjoint Dirac fermion","ref_index":69,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DRFIZXPC4XNC5N7V32U2CIF7AB","json":"https://pith.science/pith/DRFIZXPC4XNC5N7V32U2CIF7AB.json","graph_json":"https://pith.science/api/pith-number/DRFIZXPC4XNC5N7V32U2CIF7AB/graph.json","events_json":"https://pith.science/api/pith-number/DRFIZXPC4XNC5N7V32U2CIF7AB/events.json","paper":"https://pith.science/paper/DRFIZXPC"},"agent_actions":{"view_html":"https://pith.science/pith/DRFIZXPC4XNC5N7V32U2CIF7AB","download_json":"https://pith.science/pith/DRFIZXPC4XNC5N7V32U2CIF7AB.json","view_paper":"https://pith.science/paper/DRFIZXPC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.0228&json=true","fetch_graph":"https://pith.science/api/pith-number/DRFIZXPC4XNC5N7V32U2CIF7AB/graph.json","fetch_events":"https://pith.science/api/pith-number/DRFIZXPC4XNC5N7V32U2CIF7AB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DRFIZXPC4XNC5N7V32U2CIF7AB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DRFIZXPC4XNC5N7V32U2CIF7AB/action/storage_attestation","attest_author":"https://pith.science/pith/DRFIZXPC4XNC5N7V32U2CIF7AB/action/author_attestation","sign_citation":"https://pith.science/pith/DRFIZXPC4XNC5N7V32U2CIF7AB/action/citation_signature","submit_replication":"https://pith.science/pith/DRFIZXPC4XNC5N7V32U2CIF7AB/action/replication_record"}},"created_at":"2026-05-18T03:41:58.728819+00:00","updated_at":"2026-05-18T03:41:58.728819+00:00"}