{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ATQ7ELXYS5W7ERSMMJIC6RB4XR","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":"78a9bd399cd2ae3ce58da0b44ff84598088fe592880d45d8bdaec29bfa17efe5","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-10T20:36:41Z","title_canon_sha256":"17dd50f806e8547d6426ffeb57b6b6ee3ad6899f7c0d37c495ce84b12740d869"},"schema_version":"1.0","source":{"id":"1208.2283","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1208.2283","created_at":"2026-05-18T03:35:25Z"},{"alias_kind":"arxiv_version","alias_value":"1208.2283v3","created_at":"2026-05-18T03:35:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.2283","created_at":"2026-05-18T03:35:25Z"},{"alias_kind":"pith_short_12","alias_value":"ATQ7ELXYS5W7","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"ATQ7ELXYS5W7ERSM","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"ATQ7ELXY","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:50237dc617fa219fd2f008ea6ffa99b349a5d19c1253ff9476b6a11a7d36933b","target":"graph","created_at":"2026-05-18T03:35:25Z","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 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","authors_text":"Hiroaki Kouno, Kouji Kashiwa, Masanobu Yahiro, Takahiro Sasaki","cross_cats":["hep-lat"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-10T20:36:41Z","title":"Two-color QCD at imaginary chemical potential and its impact on real chemical potential"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.2283","kind":"arxiv","version":3},"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:a6e71374d040ea3624864b29d52a1216f97561954381dd31faabb1debfddb003","target":"record","created_at":"2026-05-18T03:35:25Z","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":"78a9bd399cd2ae3ce58da0b44ff84598088fe592880d45d8bdaec29bfa17efe5","cross_cats_sorted":["hep-lat"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2012-08-10T20:36:41Z","title_canon_sha256":"17dd50f806e8547d6426ffeb57b6b6ee3ad6899f7c0d37c495ce84b12740d869"},"schema_version":"1.0","source":{"id":"1208.2283","kind":"arxiv","version":3}},"canonical_sha256":"04e1f22ef8976df2464c62502f443cbc5bfc194f1db75980ba31fe720ed8d09f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04e1f22ef8976df2464c62502f443cbc5bfc194f1db75980ba31fe720ed8d09f","first_computed_at":"2026-05-18T03:35:25.587146Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:35:25.587146Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PEkY6yp0qt8GjAwY1x+NGpbGJUKeHj3GDLvwApB8AJWw0bjNUzC0FSGzE0RHwGNarW5zFCPySaO74+9Dlps8Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:35:25.587860Z","signed_message":"canonical_sha256_bytes"},"source_id":"1208.2283","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a6e71374d040ea3624864b29d52a1216f97561954381dd31faabb1debfddb003","sha256:50237dc617fa219fd2f008ea6ffa99b349a5d19c1253ff9476b6a11a7d36933b"],"state_sha256":"89d7c7454514faefc78b22ad1cd7bd8a5c111f44c02666810698210f949b80b2"}