{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ATQ7ELXYS5W7ERSMMJIC6RB4XR","short_pith_number":"pith:ATQ7ELXY","schema_version":"1.0","canonical_sha256":"04e1f22ef8976df2464c62502f443cbc5bfc194f1db75980ba31fe720ed8d09f","source":{"kind":"arxiv","id":"1208.2283","version":3},"attestation_state":"computed","paper":{"title":"Two-color QCD at imaginary chemical potential and its impact on real chemical potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Hiroaki Kouno, Kouji Kashiwa, Masanobu Yahiro, Takahiro Sasaki","submitted_at":"2012-08-10T20:36:41Z","abstract_excerpt":"We study properties of two-color QCD at imaginary chemical potential ($\\mu$) from the viewpoint of the Roberge-Weiss (RW) periodicity, the charge conjugation and the pseudo-reality. At $\\mu=\\pm i\\pi T/2$, where $T$ is temperature, the system is symmetric under the combination of the charge conjugation ${\\cal C}$ and the ${\\mathbb Z}_{2}$ transformation. The symmetry, called ${\\cal C} {\\mathbb Z}_{2}$ symmetry, is preserved at lower $T$ but broken at higher $T$. The Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model has the same properties as two-color QCD for ${\\cal C} {\\mathbb Z}_{2}$ sy"},"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":"1208.2283","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-10T20:36:41Z","cross_cats_sorted":["hep-lat"],"title_canon_sha256":"17dd50f806e8547d6426ffeb57b6b6ee3ad6899f7c0d37c495ce84b12740d869","abstract_canon_sha256":"78a9bd399cd2ae3ce58da0b44ff84598088fe592880d45d8bdaec29bfa17efe5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:35:25.587860Z","signature_b64":"PEkY6yp0qt8GjAwY1x+NGpbGJUKeHj3GDLvwApB8AJWw0bjNUzC0FSGzE0RHwGNarW5zFCPySaO74+9Dlps8Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04e1f22ef8976df2464c62502f443cbc5bfc194f1db75980ba31fe720ed8d09f","last_reissued_at":"2026-05-18T03:35:25.587146Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:35:25.587146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-color QCD at imaginary chemical potential and its impact on real chemical potential","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat"],"primary_cat":"hep-ph","authors_text":"Hiroaki Kouno, Kouji Kashiwa, Masanobu Yahiro, Takahiro Sasaki","submitted_at":"2012-08-10T20:36:41Z","abstract_excerpt":"We study properties of two-color QCD at imaginary chemical potential ($\\mu$) from the viewpoint of the Roberge-Weiss (RW) periodicity, the charge conjugation and the pseudo-reality. At $\\mu=\\pm i\\pi T/2$, where $T$ is temperature, the system is symmetric under the combination of the charge conjugation ${\\cal C}$ and the ${\\mathbb Z}_{2}$ transformation. The symmetry, called ${\\cal C} {\\mathbb Z}_{2}$ symmetry, is preserved at lower $T$ but broken at higher $T$. The Polyakov-loop extended Nambu--Jona-Lasinio (PNJL) model has the same properties as two-color QCD for ${\\cal C} {\\mathbb Z}_{2}$ sy"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2283","kind":"arxiv","version":3},"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":"1208.2283","created_at":"2026-05-18T03:35:25.587255+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.2283v3","created_at":"2026-05-18T03:35:25.587255+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2283","created_at":"2026-05-18T03:35:25.587255+00:00"},{"alias_kind":"pith_short_12","alias_value":"ATQ7ELXYS5W7","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_16","alias_value":"ATQ7ELXYS5W7ERSM","created_at":"2026-05-18T12:26:58.693483+00:00"},{"alias_kind":"pith_short_8","alias_value":"ATQ7ELXY","created_at":"2026-05-18T12:26:58.693483+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.19287","citing_title":"The canonical approach at high temperature revisited","ref_index":53,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ATQ7ELXYS5W7ERSMMJIC6RB4XR","json":"https://pith.science/pith/ATQ7ELXYS5W7ERSMMJIC6RB4XR.json","graph_json":"https://pith.science/api/pith-number/ATQ7ELXYS5W7ERSMMJIC6RB4XR/graph.json","events_json":"https://pith.science/api/pith-number/ATQ7ELXYS5W7ERSMMJIC6RB4XR/events.json","paper":"https://pith.science/paper/ATQ7ELXY"},"agent_actions":{"view_html":"https://pith.science/pith/ATQ7ELXYS5W7ERSMMJIC6RB4XR","download_json":"https://pith.science/pith/ATQ7ELXYS5W7ERSMMJIC6RB4XR.json","view_paper":"https://pith.science/paper/ATQ7ELXY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.2283&json=true","fetch_graph":"https://pith.science/api/pith-number/ATQ7ELXYS5W7ERSMMJIC6RB4XR/graph.json","fetch_events":"https://pith.science/api/pith-number/ATQ7ELXYS5W7ERSMMJIC6RB4XR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ATQ7ELXYS5W7ERSMMJIC6RB4XR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ATQ7ELXYS5W7ERSMMJIC6RB4XR/action/storage_attestation","attest_author":"https://pith.science/pith/ATQ7ELXYS5W7ERSMMJIC6RB4XR/action/author_attestation","sign_citation":"https://pith.science/pith/ATQ7ELXYS5W7ERSMMJIC6RB4XR/action/citation_signature","submit_replication":"https://pith.science/pith/ATQ7ELXYS5W7ERSMMJIC6RB4XR/action/replication_record"}},"created_at":"2026-05-18T03:35:25.587255+00:00","updated_at":"2026-05-18T03:35:25.587255+00:00"}