{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KRY7PULZSNINIT4OIOBHHXCKDM","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":"6aef8af8f556777f3f08c0c428b118031f908cacc071e5048ffdcaf8a771a320","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-10-03T09:26:57Z","title_canon_sha256":"109a2030007b7f1e88e7025be2db3fce690ad2502263878686f79cdbebd82d8a"},"schema_version":"1.0","source":{"id":"2410.02328","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2410.02328","created_at":"2026-07-05T09:16:53Z"},{"alias_kind":"arxiv_version","alias_value":"2410.02328v2","created_at":"2026-07-05T09:16:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2410.02328","created_at":"2026-07-05T09:16:53Z"},{"alias_kind":"pith_short_12","alias_value":"KRY7PULZSNIN","created_at":"2026-07-05T09:16:53Z"},{"alias_kind":"pith_short_16","alias_value":"KRY7PULZSNINIT4O","created_at":"2026-07-05T09:16:53Z"},{"alias_kind":"pith_short_8","alias_value":"KRY7PULZ","created_at":"2026-07-05T09:16:53Z"}],"graph_snapshots":[{"event_id":"sha256:440f0676030a55bb032178130945a12787fe3f9f7454336f360258c60eca7b1a","target":"graph","created_at":"2026-07-05T09:16:53Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2410.02328/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An exact solution of one-dimensional lattice gauge theory at finite temperature and non-zero chemical potential is reviewed for the gauge groups $G=Z(N),U(N),SU(N)$ for all values of $N$ and the number of fermion flavors $N_f$. Calculated are the partition function, free energy, the Polyakov loop expectation values, baryon density, quark condensate, meson and baryon correlation functions. Detailed analysis of the exact solutions is done for $N=2,3$ with one and two fermion flavors. In the large $N_f$ limit we uncover the Roberge-Weiss phase transition and discuss its remnants at finite $N_f$. ","authors_text":"O. Borisenko, P. Yefanov, S. Voloshyn, V. Chelnokov","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-10-03T09:26:57Z","title":"One-dimensional QCD at finite density and its 't Hooft-Veneziano limit"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2410.02328","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":"sha256:7a4ab567147364d3f34d8b532b1b5078d58738783f01b85e5f20b15ec441cc45","target":"record","created_at":"2026-07-05T09:16:53Z","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":"6aef8af8f556777f3f08c0c428b118031f908cacc071e5048ffdcaf8a771a320","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2024-10-03T09:26:57Z","title_canon_sha256":"109a2030007b7f1e88e7025be2db3fce690ad2502263878686f79cdbebd82d8a"},"schema_version":"1.0","source":{"id":"2410.02328","kind":"arxiv","version":2}},"canonical_sha256":"5471f7d1799350d44f8e438273dc4a1b2de3fa7508618f1c48255ffa72f86012","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5471f7d1799350d44f8e438273dc4a1b2de3fa7508618f1c48255ffa72f86012","first_computed_at":"2026-07-05T09:16:53.396420Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:16:53.396420Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UL0ogvX8p2lLOBN8lFgKgfGlVmC0qEzCk1V8QDpoKqGaDnwI6svBf3X0lfwGp7g23LSImVMcO2rNisTCbD+WAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:16:53.396902Z","signed_message":"canonical_sha256_bytes"},"source_id":"2410.02328","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a4ab567147364d3f34d8b532b1b5078d58738783f01b85e5f20b15ec441cc45","sha256:440f0676030a55bb032178130945a12787fe3f9f7454336f360258c60eca7b1a"],"state_sha256":"39109687ebd873ecb51707ab34c9369b3b2a6dff196ffda635b04d299c4aa89e"}